Symbol phantoms

International Nuclear Information System (INIS)

Yamaguchi, Hiroshi; Hongo, Syozo; Takeshita, Hiroshi

1990-01-01

We have developed Japanese phantoms in two procedures for computation of organ doses exposed to internal and/or external radiation sources. One method is to make mathematical phantoms on the basis of ORNL mathematical phantoms. Parameters to specify organs of Japanese mathematical phantom are determined by interpolations of the ORNL data, which define the organs of Caucasian males and females of various ages, i.e. new born, 1, 5, 10, 15 years and adult, with survey data for Japanese physiques. Another procedure is to build 'symbol phantoms' for the Japanese public. The concept and its method of the symbol phantom enables us to make a phantom for an individual when we have all of his transversal section images obtained by a medical imaging device like MRI, and thus we may achieve more realistic phantoms for Japanese public than the mathematical phantoms. Both studies are in progress in NIRS. (author)

Irreversibility in physics stemming from unpredictable symbol-handling agents

Science.gov (United States)

Myers, John M.; Madjid, F. Hadi

2016-05-01

The basic equations of physics involve a time variable t and are invariant under the transformation t --> -t. This invariance at first sight appears to impose time reversibility as a principle of physics, in conflict with thermodynamics. But equations written on the blackboard are not the whole story in physics. In prior work we sharpened a distinction obscured in today's theoretical physics, the distinction between obtaining evidence from experiments on the laboratory bench and explaining that evidence in mathematical symbols on the blackboard. The sharp distinction rests on a proof within the mathematics of quantum theory that no amount of evidence, represented in quantum theory in terms of probabilities, can uniquely determine its explanation in terms of wave functions and linear operators. Building on the proof we show here a role in physics for unpredictable symbol-handling agents acting both at the blackboard and at the workbench, communicating back and forth by means of transmitted symbols. Because of their unpredictability, symbol-handling agents introduce a heretofore overlooked source of irreversibility into physics, even when the equations they write on the blackboard are invariant under t --> -t. Widening the scope of descriptions admissible to physics to include the agents and the symbols that link theory to experiments opens up a new source of time-irreversibility in physics.

The mathematica guidebook for symbolics

CERN Document Server

Trott, Michael

2006-01-01

Mathematica is today's most advanced technical computing system. It features a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive easy-to-handle environment of great power and utility. "The Mathematica GuideBook for Symbolics" (code and text fully tailored for Mathematica 5.1) deals with Mathematica's symbolic mathematical capabilities. Structural and mathematical operations on single and systems of polynomials are fundamental to many symbolic calculations and they are covered in considerable detail. The solution of equations and differential equations, as well as the classical calculus operations (differentiation, integration, summation, series expansion, limits) are exhaustively treated. Generalized functions and their uses are discussed. In addition...

Mathematics and Computer Science | Argonne National Laboratory

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Extreme Computing Data-Intensive Science Applied Mathematics Science & Engineering Applications Software Extreme Computing Data-Intensive Science Applied Mathematics Science & Engineering Opportunities For Employees Staff Directory Argonne National Laboratory Mathematics and Computer Science Tools

Symbolic initiative and its application to computers

Energy Technology Data Exchange (ETDEWEB)

Hellerman, L

1982-01-01

The author reviews the role of symbolic initiative in mathematics and then defines a sense in which computers compute mathematical functions. This allows a clarification of the semantics of computer and communication data. Turing's view of machine intelligence is examined in terms of its use of symbolic initiative. 12 references.

NMR-CT image and symbol phantoms

International Nuclear Information System (INIS)

Hongo, Syozo; Yamaguchi, Hiroshi; Takeshita, Hiroshi

1990-01-01

We have developed Japanese phantoms in two procedures. One is described as a mathematical expression. Another is 'symbol phantoms' in 3 dimensional picture-elements, each of which symbolize an organ name. The concept and the algorithm of the symbol phantom enables us to make a phantom for a individual in terms of all his transversal section images. We got 85 transversal section images of head and trunk parts, and those of 40 legs parts by using NMR-CT. We have made the individual phantom for computation of organ doses. The transversal section images were not so clear to identify all organs needed to dose estimation that we had to do hand-editing the shapes of organs with viewing a typical section images: we could not yet make symbol phantom in a automatic editing. Symbols were coded to be visual cords as ASCII characters. After we got the symbol phantom of the first stage, we can edit it easily using a word-processor. Symbol phantom could describe more freely the shape of organs than mathematical phantom. Symbol phantom has several advantages to be an individual phantom, but the only difficult point is how to determine its end-point as a reference man when we apply the method to build the reference man. (author)

An electrophysiological investigation of non-symbolic magnitude processing: numerical distance effects in children with and without mathematical learning disabilities.

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Heine, Angela; Wissmann, Jacqueline; Tamm, Sascha; De Smedt, Bert; Schneider, Michael; Stern, Elsbeth; Verschaffel, Lieven; Jacobs, Arthur M

2013-09-01

The aim of the present study was to probe electrophysiological effects of non-symbolic numerical processing in 20 children with mathematical learning disabilities (mean age = 99.2 months) compared to a group of 20 typically developing matched controls (mean age = 98.4 months). EEG data were obtained while children were tested with a standard non-symbolic numerical comparison paradigm that allowed us to investigate the effects of numerical distance manipulations for different set sizes, i.e., the classical subitizing, counting and estimation ranges. Effects of numerical distance manipulations on event-related potential (ERP) amplitudes as well as activation patterns of underlying current sources were analyzed. In typically developing children, the amplitudes of a late parietal positive-going ERP component showed systematic numerical distance effects that did not depend on set size. For the group of children with mathematical learning disabilities, ERP distance effects were found only for stimuli within the subitizing range. Current source density analysis of distance-related group effects suggested that areas in right inferior parietal regions are involved in the generation of the parietal ERP amplitude differences. Our results suggest that right inferior parietal regions are recruited differentially by controls compared to children with mathematical learning disabilities in response to non-symbolic numerical magnitude processing tasks, but only for stimuli with set sizes that exceed the subitizing range. Copyright © 2012 Elsevier Ltd. All rights reserved.

Children’s Non-symbolic, Symbolic Addition and Their Mapping Capacity at 4–7 Years Old

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Yanjun Li

2017-07-01

Full Text Available The study aimed to examine the developmental trajectories of non-symbolic and symbolic addition capacities in children and the mapping ability between these two. We assessed 106 4- to 7-year-old children and found that 4-year-olds were able to do non-symbolic addition but not symbolic addition. Five-year-olds and older were able to do symbolic addition and their performance in symbolic addition exceeded non-symbolic addition in grade 1 (approximate age 7. These results suggested non-symbolic addition ability emerges earlier and is less affected by formal mathematical education than symbolic addition. Meanwhile, we tested children’s bi-directional mapping ability using a novel task and found that children were able to map between symbolic and non-symbolic representations of number at age 5. Their ability in mapping non-symbolic to symbolic number became more proficient in grade 1 (approximate age 7. This suggests children at age 7 have developed a relatively mature symbolic representation system.

Symbolic power, robotting, and surveilling

DEFF Research Database (Denmark)

Skovsmose, Ole

2012-01-01

describes as it prioritises is discussed with reference to robotting and surveillance. In general, the symbolic power of mathematics and formal languages is summarised through the observations: that mathematics treats parts and properties as autonomous, that it dismembers what it addresses and destroys...

Characteristics of manipulative in mathematics laboratory

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Istiandaru, A.; Istihapsari, V.; Prahmana, R. C. I.; Setyawan, F.; Hendroanto, A.

2017-12-01

A manipulative is a teaching aid designed such that students could understand mathematical concepts by manipulating it. This article aims to provide an insight to the characteristics of manipulatives produced in the mathematics laboratory of Universitas Ahmad Dahlan, Indonesia. A case study was conducted to observe the existing manipulatives produced during the latest three years and classified the manipulatives based on the characteristics found. There are four kinds of manipulatives: constructivism manipulative, virtual manipulative, informative manipulative, and game-based manipulative. Each kinds of manipulative has different characteristics and impact towards the mathematics learning.

Scientific Assistant Virtual Laboratory (SAVL)

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Alaghband, Gita; Fardi, Hamid; Gnabasik, David

2007-03-01

The Scientific Assistant Virtual Laboratory (SAVL) is a scientific discovery environment, an interactive simulated virtual laboratory, for learning physics and mathematics. The purpose of this computer-assisted intervention is to improve middle and high school student interest, insight and scores in physics and mathematics. SAVL develops scientific and mathematical imagination in a visual, symbolic, and experimental simulation environment. It directly addresses the issues of scientific and technological competency by providing critical thinking training through integrated modules. This on-going research provides a virtual laboratory environment in which the student directs the building of the experiment rather than observing a packaged simulation. SAVL: * Engages the persistent interest of young minds in physics and math by visually linking simulation objects and events with mathematical relations. * Teaches integrated concepts by the hands-on exploration and focused visualization of classic physics experiments within software. * Systematically and uniformly assesses and scores students by their ability to answer their own questions within the context of a Master Question Network. We will demonstrate how the Master Question Network uses polymorphic interfaces and C# lambda expressions to manage simulation objects.

Foundations of children's numerical and mathematical skills: the roles of symbolic and nonsymbolic representations of numerical magnitude.

Science.gov (United States)

Lyons, Ian M; Ansari, Daniel

2015-01-01

Numerical and mathematical skills are critical predictors of academic success. The last three decades have seen a substantial growth in our understanding of how the human mind and brain represent and process numbers. In particular, research has shown that we share with animals the ability to represent numerical magnitude (the total number of items in a set) and that preverbal infants can process numerical magnitude. Further research has shown that similar processing signatures characterize numerical magnitude processing across species and developmental time. These findings suggest that an approximate system for nonsymbolic (e.g., dot arrays) numerical magnitude representation serves as the basis for the acquisition of cultural, symbolic (e.g., Arabic numerals) representations of numerical magnitude. This chapter explores this hypothesis by reviewing studies that have examined the relation between individual differences in nonsymbolic numerical magnitude processing and symbolic math abilities (e.g., arithmetic). Furthermore, we examine the extent to which the available literature provides strong evidence for a link between symbolic and nonsymbolic representations of numerical magnitude at the behavioral and neural levels of analysis. We conclude that claims that symbolic number abilities are grounded in the approximate system for the nonsymbolic representation of numerical magnitude are not strongly supported by the available evidence. Alternative models and future research directions are discussed. © 2015 Elsevier Inc. All rights reserved.

Teaching Mathematical Modeling in Mathematics Education

Science.gov (United States)

Saxena, Ritu; Shrivastava, Keerty; Bhardwaj, Ramakant

2016-01-01

Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…

Doing Mathematics with Purpose: Mathematical Text Types

Science.gov (United States)

Dostal, Hannah M.; Robinson, Richard

2018-01-01

Mathematical literacy includes learning to read and write different types of mathematical texts as part of purposeful mathematical meaning making. Thus in this article, we describe how learning to read and write mathematical texts (proof text, algorithmic text, algebraic/symbolic text, and visual text) supports the development of students'…

Engineering Evaluation and Assessment (EE and A) Report for the Symbolic and Sub-symbolic Robotics Intelligence Control System (SS-RICS)

Science.gov (United States)

2018-04-01

ARL-TR-8352 ● APR 2018 US Army Research Laboratory Engineering Evaluation and Assessment (EE&A) Report for the Symbolic and Sub...APR 2018 US Army Research Laboratory Engineering Evaluation and Assessment (EE&A) Report for the Symbolic and Sub-symbolic Robotics...Intelligence Control System (SS-RICS) by Troy Dale Kelley and Eric Avery Human Research and Engineering Directorate, ARL Sean McGhee STG Inc

Proportional Symbol Mapping in R

Directory of Open Access Journals (Sweden)

Susumu Tanimura

2006-01-01

Full Text Available Visualization of spatial data on a map aids not only in data exploration but also in communication to impart spatial conception or ideas to others. Although recent carto-graphic functions in R are rapidly becoming richer, proportional symbol mapping, which is one of the common mapping approaches, has not been packaged thus far. Based on the theories of proportional symbol mapping developed in cartography, the authors developed some functions for proportional symbol mapping using R, including mathematical and perceptual scaling. An example of these functions demonstrated the new expressive power and options available in R, particularly for the visualization of conceptual point data.

Introducing a Symbolic Interactionist Approach on Teaching Mathematics: The Case of Revoicing as an Interactional Strategy in the Teaching of Probability

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Eckert, Andreas; Nilsson, Per

2017-01-01

This study examines an interactional view on teaching mathematics, whereby meaning is co-produced with the students through a process of negotiation. Further, teaching is viewed from a symbolic interactionism perspective, allowing the analysis to focus on the teacher's role in the negotiation of meaning. Using methods inspired by grounded theory,…

The number and its symbolism in ancient Greece

Directory of Open Access Journals (Sweden)

Doc. dr Milena Bogdanović

2013-07-01

Full Text Available The symbols are of particular importance. They are the heart of the creative life; rather they are its core. They reveal the secrets of the unconscious mind open to the unknown and the infinite. While talking or gestures while express, we use the symbols, noting it or not. All spiritual science, all art and all art techniques encounter on their way symbols. History confirms that the symbols of each object can be obtained symbolic value, whether natural (rocks, trees, animals, planets, fire, lightning, etc... or abstract (geometrical shape, number, pace, ideas, etc.... The use of numbers as symbols is as old as language itself, but one that precedes writing, which symbolize numbers (that is, where the reality behind the external characters. The sheer numbers and their symbolism in ancient Greece and is closely associated with the philosophy and mathematics (namely arithmetic. They summarize their view of the world and everything around them. This paper draws attention to the symbolism of the numbers that were in ancient Greece.

Contextualizing symbol, symbolizing context

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Maudy, Septiani Yugni; Suryadi, Didi; Mulyana, Endang

2017-08-01

When students learn algebra for the first time, inevitably they are experiencing transition from arithmetic to algebraic thinking. Once students could apprehend this essential mathematical knowledge, they are cultivating their ability in solving daily life problems by applying algebra. However, as we dig into this transitional stage, we identified possible students' learning obstacles to be dealt with seriously in order to forestall subsequent hindrance in studying more advance algebra. We come to realize this recurring problem as we undertook the processes of re-personalization and re-contextualization in which we scrutinize the very basic questions: 1) what is variable, linear equation with one variable and their relationship with the arithmetic-algebraic thinking? 2) Why student should learn such concepts? 3) How to teach those concepts to students? By positioning ourselves as a seventh grade student, we address the possibility of children to think arithmetically when confronted with the problems of linear equation with one variable. To help them thinking algebraically, Bruner's modes of representation developed contextually from concrete to abstract were delivered to enhance their interpretation toward the idea of variables. Hence, from the outset we designed the context for student to think symbolically initiated by exploring various symbols that could be contextualized in order to bridge student traversing the arithmetic-algebraic fruitfully.

General Symbol Machines: The First Stage in the Evolution of Symbolic Communication

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Thomas E. Dickins

2003-01-01

Full Text Available Humans uniquely form stimulus equivalence (SE classes of abstract and unrelated stimuli, i.e. if taught to match A with B and B with C, they will spontaneously match B with A, and C with B, (the relation of symmetry, and A with C (transitivity. Other species do not do this. The SE ability is possibly the consequence of a specific selection event in the Homo lineage. SE is of interest because it appears to demonstrate a facility that is core to symbolic behavior. Linguistic symbols, for example, are arbitrarily and symmetrically related to their referent such that the term banana has no resemblance to bananas but when processed can be used to discriminate bananas. Equally when bananas are perceived the term banana is readily produced. This relation is arguably the defining mark of symbolic representation. In this paper I shall detail the SE phenomenon and argue that it is evidence for a cognitive device that I term a General Symbol Machine (GSM. The GSM not only sets the background condition for subsequent linguistic evolution but also for other symbolic behaviors such as mathematical reasoning. In so doing the GSM is not particularly domain-specific. The apparent domain-specificity of, for example, natural language is a consequence of other computational developments. This introduces complexity to evolutionary arguments about cognitive architecture.

Dilemma in Teaching Mathematics

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Md Kamaruddin, Nafisah Kamariah; Md Amin, Zulkarnain

2012-01-01

The challenge in mathematics education is finding the best way to teach mathematics. When students learn the reasoning and proving in mathematics, they will be proficient in mathematics. Students must know mathematics before they can apply it. Symbolism and logic is the key to both the learning of mathematics and its effective application to…

7 CFR 91.102 - Form of official identification symbols.

Science.gov (United States)

2010-01-01

... 7 Agriculture 3 2010-01-01 2010-01-01 false Form of official identification symbols. 91.102... LABORATORY TESTING PROGRAMS SERVICES AND GENERAL INFORMATION Designation of Approved Symbols for Identification of Commodities Officially Tested By AMS § 91.102 Form of official identification symbols. Two...

Toward physics of the mind: Concepts, emotions, consciousness, and symbols

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Perlovsky, Leonid I.

2006-03-01

Mathematical approaches to modeling the mind since the 1950s are reviewed, including artificial intelligence, pattern recognition, and neural networks. I analyze difficulties faced by these algorithms and neural networks and relate them to the fundamental inconsistency of logic discovered by Gödel. Mathematical discussions are related to those in neurobiology, psychology, cognitive science, and philosophy. Higher cognitive functions are reviewed including concepts, emotions, instincts, understanding, imagination, intuition, consciousness. Then, I describe a mathematical formulation, unifying the mind mechanisms in a psychologically and neuro-biologically plausible system. A mechanism of the knowledge instinct drives our understanding of the world and serves as a foundation for higher cognitive functions. This mechanism relates aesthetic emotions and perception of beauty to “everyday” functioning of the mind. The article reviews mechanisms of human symbolic ability. I touch on future directions: joint evolution of the mind, language, consciousness, and cultures; mechanisms of differentiation and synthesis; a manifold of aesthetic emotions in music and differentiated instinct for knowledge. I concentrate on elucidating the first principles; review aspects of the theory that have been proven in laboratory research, relationships between the mind and brain; discuss unsolved problems, and outline a number of theoretical predictions, which will have to be tested in future mathematical simulations and neuro-biological research.

The written mathematical communication profile of prospective math teacher in mathematical proving

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Pantaleon, K. V.; Juniati, D.; Lukito, A.; Mandur, K.

2018-01-01

Written mathematical communication is the process of expressing mathematical ideas and understanding in writing. It is one of the important aspects that must be mastered by the prospective math teacher as tool of knowledge transfer. This research was a qualitative research that aimed to describe the mathematical communication profile of the prospective mathematics teacher in mathematical proving. This research involved 48 students of Mathematics Education Study Program; one of them with moderate math skills was chosen as the main subject. Data were collected through tests, assignments, and task-based interviews. The results of this study point out that in the proof of geometry, the subject explains what is understood, presents the idea in the form of drawing and symbols, and explains the content/meaning of a representation accurately and clearly, but the subject can not convey the argument systematically and logically. Whereas in the proof of algebra, the subject describes what is understood, explains the method used, and describes the content/meaning of a symbolic representation accurately, systematically, logically, but the argument presented is not clear because it is insufficient detailed and complete.

Labelling Angles: Care, Indifference and Mathematical Symbols

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Long, Julie

2011-01-01

In this article, I explore tensions of care in the context of school mathematics by examining two accounts of a classroom moment involving labelling an angle. In particular, I draw attention to how caring for students and caring for mathematical ideas interplay in complex ways by inquiring into the two accounts through ideas of care and…

MIPS to the "4", Mathematics Improves Promotes Students. A Program of Mathematics for the Elementary Math Laboratory. Limited Edition.

Science.gov (United States)

Wichita Unified School District 259, KS.

This book is a guide for the reinforcement of the elementary mathematics laboratory program. It uses a hands-on and activity approach with maximum involvement of the students. Reinforcement strategies for the first three phases (concrete, semiconcrete, and semiabstract) of each mathematics concept are suggested. Also included are specific job…

History of international symbol for ionizing radiation

International Nuclear Information System (INIS)

Franic, Z.

1996-01-01

The year 1996 marks the 50th anniversary of the radiation warning symbol as we currently know it. It was (except the colours used) doodled out at the University of California, Berkeley, sometime in 1946 by a small group of people. The key guy responsible was Nelson Garden, then the head of the Health Chemistry Group, at the Radiation Laboratory. The radiation warning symbol should not be confused with the civil defence symbol (circle divided into six equal sections, three of these being black and three yellow), designed to identify fallout shelters. The basic radiation symbol was eventually internationally standardized by ISO code: 361-1975 (E). Variations of this symbol are frequently used in logotypes radiation protection organizations or associations. Particularly nice are those of International Radiation Protection Association (IRPA) and Croatian Radiation Protection Association (CRPA) that combines traditional Croatian motives with high technology. However, apart from speculations, there is no definite answer why did the Berkeley people chose this particular symbol. Whatever the reason was, it was very good choice because the ionizing radiation symbol is simple, readily identifiable, i.e., not similar to other warning symbols, and discernible at a large distance. (author)

DEVELOPMENT OF MAPLE IN TRAINING HIGHER MATHEMATICS

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Volodymyr M. Mykhalevych

2011-03-01

Full Text Available The relevance of the material presented in this paper due to the need to develop and implement new information technologies in teaching higher mathematics with the use of systems of symbolic mathematics. Brief analysis of the Maple and Mathematica is given. The basic results of authors on working out of a training complex on higher mathematics are given. The complex was created in an environment of symbolic mathematics Maple. Procedure simulators, which give the whole process of model solutions of mathematical problems are a major element of the complex. The results of such procedures for typical problems from different sections of higher mathematics in accordance with the program for technical universities are represented. Questions the benefits and methods of using such programs, in particular those related to deficits of licensed copies of Maple was touched.

The Transition to Formal Thinking in Mathematics

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Tall, David

2008-01-01

This paper focuses on the changes in thinking involved in the transition from school mathematics to formal proof in pure mathematics at university. School mathematics is seen as a combination of visual representations, including geometry and graphs, together with symbolic calculations and manipulations. Pure mathematics in university shifts…

Symbolic behavior in regular classrooms. A specification of symbolic and non-symbolic behavior

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Stefan eBillinger

2011-06-01

Full Text Available Students’ capabilities to use symbolic information in classroom setting could be expected to influence their possibilities to be active and participating. The development of strategies for teachers to compensate for reduced capability need specific operational definition of symbolic behavior. Fifty-three students, aged 11 to 13 years old, 29 boys and 24 girls, from three classes in the same Swedish compulsory regular school participated in the current study. After a short training sequence 25 students (47% were defined as showing symbolic behavior (symbolic, and 28 students (53% were not (non-symbolic, based on their follow-up test performances. Symbolic and non-symbolic differed significantly on post test performances (p. < .05. Surprisingly, non-symbolic behavior deteriorated their performance, while symbolic enhanced their performance (p. < .05. The results indicate that the operational definition used in the present study may be useful in further studies relating the capability to show symbolic behavior and students’ activity and participation in classroom settings.

Case Study: Students’ Symbolic Manipulation in Calculus Among UTHM Students

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Ali, Maselan; Sufahani, Suliadi; Ahmad, Wan N. A. W.; Ghazali Kamardan, M.; Saifullah Rusiman, Mohd; Che-Him, Norziha

2018-04-01

Words are symbols representing certain aspects of mathematics. The main purpose of this study is to gain insight into students’ symbolic manipulation in calculus among UTHM students. This study make use the various methods in collecting data which are documentation, pilot study, written test and follow up individual interviews. Hence, the results analyzed and interpreted based on action-process-object-schema framework which is based on Piaget’s ideas of reflective abstraction, the concept of relational and instrumental understanding and the zone of proximal development idea. The students’ reply in the interview session is analyzed and then the overall performance is discussed briefly to relate with the students flexibility in symbolic manipulation in linking to the graphical idea, the students interpretation towards different symbolic structure in calculus and the problem that related to overgeneralization in their calculus problems solving.

Brain activity associated with translation from a visual to a symbolic representation in algebra and geometry.

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Leikin, Mark; Waisman, Ilana; Shaul, Shelley; Leikin, Roza

2014-03-01

This paper presents a small part of a larger interdisciplinary study that investigates brain activity (using event related potential methodology) of male adolescents when solving mathematical problems of different types. The study design links mathematics education research with neurocognitive studies. In this paper we performed a comparative analysis of brain activity associated with the translation from visual to symbolic representations of mathematical objects in algebra and geometry. Algebraic tasks require translation from graphical to symbolic representation of a function, whereas tasks in geometry require translation from a drawing of a geometric figure to a symbolic representation of its property. The findings demonstrate that electrical activity associated with the performance of geometrical tasks is stronger than that associated with solving algebraic tasks. Additionally, we found different scalp topography of the brain activity associated with algebraic and geometric tasks. Based on these results, we argue that problem solving in algebra and geometry is associated with different patterns of brain activity.

Symbolic Processing Combined with Model-Based Reasoning

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James, Mark

2009-01-01

A computer program for the detection of present and prediction of future discrete states of a complex, real-time engineering system utilizes a combination of symbolic processing and numerical model-based reasoning. One of the biggest weaknesses of a purely symbolic approach is that it enables prediction of only future discrete states while missing all unmodeled states or leading to incorrect identification of an unmodeled state as a modeled one. A purely numerical approach is based on a combination of statistical methods and mathematical models of the applicable physics and necessitates development of a complete model to the level of fidelity required for prediction. In addition, a purely numerical approach does not afford the ability to qualify its results without some form of symbolic processing. The present software implements numerical algorithms to detect unmodeled events and symbolic algorithms to predict expected behavior, correlate the expected behavior with the unmodeled events, and interpret the results in order to predict future discrete states. The approach embodied in this software differs from that of the BEAM methodology (aspects of which have been discussed in several prior NASA Tech Briefs articles), which provides for prediction of future measurements in the continuous-data domain.

Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics

CERN Document Server

Ismail, Mourad

2001-01-01

These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, 1999. The main emphasis of the conference was Com­ puter Algebra (i. e. symbolic computation) and how it related to the fields of Number Theory, Special Functions, Physics and Combinatorics. A subject that is common to all of these fields is q-series. We brought together those who do symbolic computation with q-series and those who need q-series in­ cluding workers in Physics and Combinatorics. The goal of the conference was to inform mathematicians and physicists who use q-series of the latest developments in the field of q-series and especially how symbolic computa­ tion has aided these developments. Over 60 people were invited to participate in the conference. We ended up having 45 participants at the conference, including six one hour plenary speakers and 28 half hour speakers. T...

Second International workshop Geometry and Symbolic Computation

CERN Document Server

Walczak, Paweł; Geometry and its Applications

2014-01-01

This volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, laminations, integral formulae, geometry of vector fields on Lie groups, and osculation; the articles in the applications portion concern some particular problems of the theory of dynamical systems, including mathematical problems of liquid flows and a study of cycles for non-dynamical systems. This Work is based on the second international workshop entitled "Geometry and Symbolic Computations," held on May 15-18, 2013 at the University of Haifa and is dedicated to modeling (using symbolic calculations) in differential geometry and its applications in fields such as computer science, tomography, and mechanics. It is intended to create a forum for students and researchers in pure and applied geometry to promote discussion of modern state-of-the-art in geometric modeling using symbolic programs such as Maple™ and Mathematica®, as well as presentation of new results. ...

The mathematics of xenology: di-cographs, symbolic ultrametrics, 2-structures and tree-representable systems of binary relations.

Science.gov (United States)

Hellmuth, Marc; Stadler, Peter F; Wieseke, Nicolas

2017-07-01

The concepts of orthology, paralogy, and xenology play a key role in molecular evolution. Orthology and paralogy distinguish whether a pair of genes originated by speciation or duplication. The corresponding binary relations on a set of genes form complementary cographs. Allowing more than two types of ancestral event types leads to symmetric symbolic ultrametrics. Horizontal gene transfer, which leads to xenologous gene pairs, however, is inherent asymmetric since one offspring copy "jumps" into another genome, while the other continues to be inherited vertically. We therefore explore here the mathematical structure of the non-symmetric generalization of symbolic ultrametrics. Our main results tie non-symmetric ultrametrics together with di-cographs (the directed generalization of cographs), so-called uniformly non-prime ([Formula: see text]) 2-structures, and hierarchical structures on the set of strong modules. This yields a characterization of relation structures that can be explained in terms of trees and types of ancestral events. This framework accommodates a horizontal-transfer relation in terms of an ancestral event and thus, is slightly different from the the most commonly used definition of xenology. As a first step towards a practical use, we present a simple polynomial-time recognition algorithm of [Formula: see text] 2-structures and investigate the computational complexity of several types of editing problems for [Formula: see text] 2-structures. We show, finally that these NP-complete problems can be solved exactly as Integer Linear Programs.

The language of mathematics: investigating the ways language counts for children's mathematical development.

Science.gov (United States)

Vukovic, Rose K; Lesaux, Nonie K

2013-06-01

This longitudinal study examined how language ability relates to mathematical development in a linguistically and ethnically diverse sample of children from 6 to 9 years of age. Study participants were 75 native English speakers and 92 language minority learners followed from first to fourth grades. Autoregression in a structural equation modeling (SEM) framework was used to evaluate the relation between children's language ability and gains in different domains of mathematical cognition (i.e., arithmetic, data analysis/probability, algebra, and geometry). The results showed that language ability predicts gains in data analysis/probability and geometry, but not in arithmetic or algebra, after controlling for visual-spatial working memory, reading ability, and sex. The effect of language on gains in mathematical cognition did not differ between language minority learners and native English speakers. These findings suggest that language influences how children make meaning of mathematics but is not involved in complex arithmetical procedures whether presented with Arabic symbols as in arithmetic or with abstract symbols as in algebraic reasoning. The findings further indicate that early language experiences are important for later mathematical development regardless of language background, denoting the need for intensive and targeted language opportunities for language minority and native English learners to develop mathematical concepts and representations. Copyright © 2013. Published by Elsevier Inc.

Greek mathematical thought and the origin of algebra

CERN Document Server

Klein, Jacob

1992-01-01

Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. This brought about the crucial change in the concept of number that made possible modern science - in which the symbolic ""form"" of a mathematical statement is completely inseparable from its ""content"" of physical meaning. Includes a translation of Vieta's Introduction to the Analytical Art. 1968 edition. Bibliography.

Pattern of mathematic representation ability in magnetic electricity problem

Science.gov (United States)

Hau, R. R. H.; Marwoto, P.; Putra, N. M. D.

2018-03-01

The mathematic representation ability in solving magnetic electricity problem gives information about the way students understand magnetic electricity. Students have varied mathematic representation pattern ability in solving magnetic electricity problem. This study aims to determine the pattern of students' mathematic representation ability in solving magnet electrical problems.The research method used is qualitative. The subject of this study is the fourth semester students of UNNES Physics Education Study Program. The data collection is done by giving a description test that refers to the test of mathematical representation ability and interview about field line topic and Gauss law. The result of data analysis of student's mathematical representation ability in solving magnet electric problem is categorized into high, medium and low category. The ability of mathematical representations in the high category tends to use a pattern of making known and asked symbols, writing equations, using quantities of physics, substituting quantities into equations, performing calculations and final answers. The ability of mathematical representation in the medium category tends to use several patterns of writing the known symbols, writing equations, using quantities of physics, substituting quantities into equations, performing calculations and final answers. The ability of mathematical representations in the low category tends to use several patterns of making known symbols, writing equations, substituting quantities into equations, performing calculations and final answer.

Brain correlates of mathematical competence in processing mathematical representations

Directory of Open Access Journals (Sweden)

Roland H. Grabner

2011-11-01

Full Text Available The ability to extract numerical information from different representation formats (e.g., equations, tables, or diagrams is a key component of mathematical competence but little is known about its neural correlate. Previous studies comparing mathematically less and more competent adults have focused on mental arithmetic and reported differences in left angular gyrus activity which were interpreted to reflect differential reliance on arithmetic fact retrieval during problem solving. The aim of the present functional magnetic resonance imaging (fMRI study was to investigate the brain correlates of mathematical competence in a task requiring the processing of typical mathematical representations. Twenty-eight adults of lower and higher mathematical competence worked on a representation matching task in which they had to evaluate whether the numerical information of a symbolic equation matches that of a bar chart. Two task conditions without and one condition with arithmetic demands were administered. Both competence groups performed equally well in the non-arithmetic conditions and only differed in accuracy in the condition requiring calculation. Activation contrasts between the groups revealed consistently stronger left angular gyrus activation in the more competent individuals across all three task conditions. The finding of competence-related activation differences independently of arithmetic demands suggests that more and less competent individuals differ in a cognitive process other than arithmetic fact retrieval. Specifically, it is argued that the stronger left angular gyrus activity in the more competent adults may reflect their higher proficiency in processing mathematical symbols. Moreover, the study demonstrates competence-related parietal activation differences that were not accompanied by differential experimental performance.

Diagrams benefit symbolic problem-solving.

Science.gov (United States)

Chu, Junyi; Rittle-Johnson, Bethany; Fyfe, Emily R

2017-06-01

The format of a mathematics problem often influences students' problem-solving performance. For example, providing diagrams in conjunction with story problems can benefit students' understanding, choice of strategy, and accuracy on story problems. However, it remains unclear whether providing diagrams in conjunction with symbolic equations can benefit problem-solving performance as well. We tested the impact of diagram presence on students' performance on algebra equation problems to determine whether diagrams increase problem-solving success. We also examined the influence of item- and student-level factors to test the robustness of the diagram effect. We worked with 61 seventh-grade students who had received 2 months of pre-algebra instruction. Students participated in an experimenter-led classroom session. Using a within-subjects design, students solved algebra problems in two matched formats (equation and equation-with-diagram). The presence of diagrams increased equation-solving accuracy and the use of informal strategies. This diagram benefit was independent of student ability and item complexity. The benefits of diagrams found previously for story problems generalized to symbolic problems. The findings are consistent with cognitive models of problem-solving and suggest that diagrams may be a useful additional representation of symbolic problems. © 2017 The British Psychological Society.

9th and 10th Asian Symposium on Computer Mathematics

CERN Document Server

Lee, Wen-shin; Sato, Yosuke

2014-01-01

This book covers original research and the latest advances in symbolic, algebraic and geometric computation; computational methods for differential and difference equations, symbolic-numerical computation; mathematics software design and implementation; and scientific and engineering applications based on features, invited talks, special sessions and contributed papers presented at the 9th (in Fukuoka, Japan in 2009) and 10th (in Beijing China in 2012) Asian Symposium on Computer Mathematics (ASCM). Thirty selected and refereed articles in the book present the conference participants’ ideas and views on researching mathematics using computers.

Methods in Symbolic Computation and p-Adic Valuations of Polynomials

Science.gov (United States)

Guan, Xiao

Symbolic computation has widely appear in many mathematical fields such as combinatorics, number theory and stochastic processes. The techniques created in the area of experimental mathematics provide us efficient ways of symbolic computing and verification of complicated relations. Part I consists of three problems. The first one focuses on a unimodal sequence derived from a quartic integral. Many of its properties are explored with the help of hypergeometric representations and automatic proofs. The second problem tackles the generating function of the reciprocal of Catalan number. It springs from the closed form given by Mathematica. Furthermore, three methods in special functions are used to justify this result. The third issue addresses the closed form solutions for the moments of products of generalized elliptic integrals , which combines the experimental mathematics and classical analysis. Part II concentrates on the p-adic valuations of polynomials from the perspective of trees. For a given polynomial f( n) indexed in positive integers, the package developed in Mathematica will create certain tree structure following a couple of rules. The evolution of such trees are studied both rigorously and experimentally from the view of field extension, nonparametric statistics and random matrix.

The reality of Mathematics

Science.gov (United States)

Ligomenides, Panos A.

2009-05-01

The power of mathematics is discussed as a way of expressing reasoning, aesthetics and insight in symbolic non-verbal communication. The human culture of discovering mathematical ways of thinking in the enterprise of exploring the understanding of the nature and the evolution of our world through hypotheses, theories and experimental affirmation of the scientific notion of algorithmic and non-algorithmic [`]computation', is examined and commended upon.

Relations of Different Types of Numerical Magnitude Representations to Each Other and to Mathematics Achievement

Science.gov (United States)

Fazio, Lisa K.; Bailey, Drew H.; Thompson, Clarissa A.; Siegler, Robert S.

2014-01-01

We examined relations between symbolic and non-symbolic numerical magnitude representations, between whole number and fraction representations, and between these representations and overall mathematics achievement in fifth graders. Fraction and whole number symbolic and non-symbolic numerical magnitude understandings were measured using both…

Mathematics in the Workplace: Issues and Challenges

NARCIS (Netherlands)

Hoyles, C.; Noss, R.; Kent, P.; Bakker, A.

2013-01-01

In political and educational debate, there is contrary opinion about the mathematical needs of employees. Several influential studies report that, apart from recognizing the need for a small layer of ‘symbolic analysts’ (Reich 1992), employers do not prioritize mathematical skills (e.g., Department

Online handwritten mathematical expression recognition

Science.gov (United States)

Büyükbayrak, Hakan; Yanikoglu, Berrin; Erçil, Aytül

2007-01-01

We describe a system for recognizing online, handwritten mathematical expressions. The system is designed with a user-interface for writing scientific articles, supporting the recognition of basic mathematical expressions as well as integrals, summations, matrices etc. A feed-forward neural network recognizes symbols which are assumed to be single-stroke and a recursive algorithm parses the expression by combining neural network output and the structure of the expression. Preliminary results show that writer-dependent recognition rates are very high (99.8%) while writer-independent symbol recognition rates are lower (75%). The interface associated with the proposed system integrates the built-in recognition capabilities of the Microsoft's Tablet PC API for recognizing textual input and supports conversion of hand-drawn figures into PNG format. This enables the user to enter text, mathematics and draw figures in a single interface. After recognition, all output is combined into one LATEX code and compiled into a PDF file.

Clash of symbols a ride through the riches of glyphs

CERN Document Server

Webb, Stephen

2018-01-01

From the ampersat and amerpsand, via smileys and runes to the ubiquitous presence of mathematical and other symbols in sciences and technology: both old and modern documents abound with many familiar as well as lesser known characters, symbols and other glyphs. Yet, who would be readily able to answer any question like: ‘who chose π to represent the ratio of a circle’s diameter to its circumference?’ or ‘what’s the reasoning behind having a ⌘ key on my computer keyboard?’  This book is precisely for those who have always asked themselves this sort of questions. So, here are the stories behind one hundred glyphs, the book being evenly divided into five parts, with each featuring 20 symbols. Part 1, called Character sketches, looks at some of the glyphs we use in writing. Part 2, called Signs of the times, discusses some glyphs used in pol­itics, religion, and other areas of everyday life. Some of these symbols are common; others are used only rarely. Some are modern inventions; others, which...

Students’ Mathematical Literacy in Solving PISA Problems Based on Keirsey Personality Theory

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Masriyah; Firmansyah, M. H.

2018-01-01

This research is descriptive-qualitative research. The purpose is to describe students’ mathematical literacy in solving PISA on space and shape content based on Keirsey personality theory. The subjects are four junior high school students grade eight with guardian, artisan, rational or idealist personality. Data collecting methods used test and interview. Data of Keirsey Personality test, PISA test, and interview were analysed. Profile of mathematical literacy of each subject are described as follows. In formulating, guardian subject identified mathematical aspects are formula of rectangle area and sides length; significant variables are terms/conditions in problem and formula of ever encountered question; translated into mathematical language those are measurement and arithmetic operations. In employing, he devised and implemented strategies using ease of calculation on area-subtraction principle; declared truth of result but the reason was less correct; didn’t use and switch between different representations. In interpreting, he declared result as area of house floor; declared reasonableness according measurement estimation. In formulating, artisan subject identified mathematical aspects are plane and sides length; significant variables are solution procedure on both of daily problem and ever encountered question; translated into mathematical language those are measurement, variables, and arithmetic operations as well as symbol representation. In employing, he devised and implemented strategies using two design comparison; declared truth of result without reason; used symbol representation only. In interpreting, he expressed result as floor area of house; declared reasonableness according measurement estimation. In formulating, rational subject identified mathematical aspects are scale and sides length; significant variables are solution strategy on ever encountered question; translated into mathematical language those are measurement, variable, arithmetic

Symbolic Numerical Magnitude Processing Is as Important to Arithmetic as Phonological Awareness Is to Reading.

Directory of Open Access Journals (Sweden)

Kiran Vanbinst

Full Text Available In this article, we tested, using a 1-year longitudinal design, whether symbolic numerical magnitude processing or children's numerical representation of Arabic digits, is as important to arithmetic as phonological awareness is to reading. Children completed measures of symbolic comparison, phonological awareness, arithmetic, reading at the start of third grade and the latter two were retested at the start of fourth grade. Cross-sectional and longitudinal correlations indicated that symbolic comparison was a powerful domain-specific predictor of arithmetic and that phonological awareness was a unique predictor of reading. Crucially, the strength of these independent associations was not significantly different. This indicates that symbolic numerical magnitude processing is as important to arithmetic development as phonological awareness is to reading and suggests that symbolic numerical magnitude processing is a good candidate for screening children at risk for developing mathematical difficulties.

Pagan symbols associated with the female anatomy in the Medici Chapel by Michelangelo Buonarroti.

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De Campos, Deivis; Oxley Da Rocha, Andrea; De Oliveira Lemos, Rodrigo; Malysz, Tais; Antonio Bonatto-Costa, João; Pereira Jotz, Geraldo; Pinto De Oliveira Junior, Lino; Da Costa Oliveira, Miriam

2017-07-01

Numerous studies have shown that many works of art from the Renaissance period contain hidden symbols and codes that could have religious, mathematical and/or pagan significance and even anatomical allusions. In this context, the present manuscript offers new evidence that the great genius of anatomy, Michelangelo Buonarroti (1475-1564), included pagan symbols associated with female anatomy in the funerary monuments found in the Sagrestia Nuova/Medici Chapel (1519-1533) in Florence, Italy. The interpretation of the symbols provided in this study will interest those with a passion for the history of anatomy. Clin. Anat. 30:572-577, 2017. © 2017 Wiley Periodicals, Inc. © 2017 Wiley Periodicals, Inc.

Lisbon Symbol Database (LSD): Subjective norms for 600 symbols.

Science.gov (United States)

Prada, Marília; Rodrigues, David; Silva, Rita R; Garrido, Margarida V

2016-12-01

This article presents subjective rating norms for a new set of 600 symbols, depicting various contents (e.g., transportation, technology, and leisure activities) that can be used by researchers in different fields. Symbols were evaluated for aesthetic appeal, familiarity, visual complexity, concreteness, valence, arousal, and meaningfulness. The normative data were obtained from 388 participants, and no gender differences were found. Descriptive results (means, standard deviations, and confidence intervals) for each symbol in each dimension are presented. Overall, the dimensions were highly correlated. Additionally, participants were asked to briefly describe the meaning of each symbol. The results indicate that the present symbol set is varied, allowing for the selection of exemplars with different levels on the seven examined dimensions. This set of symbols constitutes a tool with potential for research in different areas. The database with all of the symbols is available as supplemental materials.

Some Learning Problems Concerning the Use of Symbolic Language in Physics.

Science.gov (United States)

De Lozano, Silvia Ragout; Cardenas, Marta

2002-01-01

Draws the attention of teachers of basic university physics courses to student problems concerning the interpretation of the symbolic language used in physics. Reports specific difficulties found in the first physics course related to different kinds of statements expressed in the mathematical language. (Contains 15 references.) (Author/YDS)

Alternate symbol inversion for improved symbol synchronization in convolutionally coded systems

Science.gov (United States)

Simon, M. K.; Smith, J. G.

1980-01-01

Inverting alternate symbols of the encoder output of a convolutionally coded system provides sufficient density of symbol transitions to guarantee adequate symbol synchronizer performance, a guarantee otherwise lacking. Although alternate symbol inversion may increase or decrease the average transition density, depending on the data source model, it produces a maximum number of contiguous symbols without transition for a particular class of convolutional codes, independent of the data source model. Further, this maximum is sufficiently small to guarantee acceptable symbol synchronizer performance for typical applications. Subsequent inversion of alternate detected symbols permits proper decoding.

CONSUMPTION AS A SOCIAL STATUS SYMBOL IN STRUCTURALISM

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N. D. Naydenov

2014-10-01

Full Text Available The article looks at the basic theoretical concepts of the political economy of the sign (structuralism, postmodernity and their development in the theory of power based on the work by J. Baudrillard ‘For a Critique of the Political Economy of the Sign’. The study is focused on consumption as the person’s social status symbol, it compares and contrasts basic concepts of structuralism and neo-liberalism.According to structuralism social structure is reproduced through the reproduction of objects/signs. It is important that not only things or money but mathematical formulas, linguistic constructions and people can act as signs. Structuralism views consumption as a person’s social status symbol. Respectively, exchange is viewed as the exchange of symbols.  The society needs the diversity of signs and manipulating the signs is one of the modern society’s illnesses.Liberalism is a social movement, which confronts the person’s enslavement by communal ties and limitations within the limits of property and in the aspects where the individual is helpless in front of the society. Neoliberalism proclaims the liberal model of an individual, who is primarily concerned with their belonging to their society and the struggle between the signs is significant. Assigning a certain value to the symbol is typical both for structuralism and neo-modernism.The authors find it necessary to raise the symbolic diversity of the Russian society trough increasing the forms of consumption. At the same time we should not forget that the society is based on material production.

Mathematical foundations of image processing and analysis

CERN Document Server

Pinoli, Jean-Charles

2014-01-01

Mathematical Imaging is currently a rapidly growing field in applied mathematics, with an increasing need for theoretical mathematics. This book, the second of two volumes, emphasizes the role of mathematics as a rigorous basis for imaging sciences. It provides a comprehensive and convenient overview of the key mathematical concepts, notions, tools and frameworks involved in the various fields of gray-tone and binary image processing and analysis, by proposing a large, but coherent, set of symbols and notations, a complete list of subjects and a detailed bibliography. It establishes a bridg

Symbolic magnitude processing in elementary school children: A group administered paper-and-pencil measure (SYMP Test).

Science.gov (United States)

Brankaer, Carmen; Ghesquière, Pol; De Smedt, Bert

2017-08-01

The ability to compare symbolic numerical magnitudes correlates with children's concurrent and future mathematics achievement. We developed and evaluated a quick timed paper-and-pencil measure that can easily be used, for example in large-scale research, in which children have to cross out the numerically larger of two Arabic one- and two-digit numbers (SYMP Test). We investigated performance on this test in 1,588 primary school children (Grades 1-6) and examined in each grade its associations with mathematics achievement. The SYMP Test had satisfactory test-retest reliability. The SYMP Test showed significant and stable correlations with mathematics achievement for both one-digit and two-digit comparison, across all grades. This replicates the previously observed association between symbolic numerical magnitude processing and mathematics achievement, but extends it by showing that the association is observed in all grades in primary education and occurs for single- as well as multi-digit processing. Children with mathematical learning difficulties performed significantly lower on one-digit comparison and two-digit comparison in all grades. This all suggests satisfactory construct and criterion-related validity of the SYMP Test, which can be used in research, when performing large-scale (intervention) studies, and by practitioners, as screening measure to identify children at risk for mathematical difficulties or dyscalculia.

Visual working memory and number sense: Testing the double deficit hypothesis in mathematics.

Science.gov (United States)

Toll, Sylke W M; Kroesbergen, Evelyn H; Van Luit, Johannes E H

2016-09-01

Evidence exists that there are two main underlying cognitive factors in mathematical difficulties: working memory and number sense. It is suggested that real math difficulties appear when both working memory and number sense are weak, here referred to as the double deficit (DD) hypothesis. The aim of this study was to test the DD hypothesis within a longitudinal time span of 2 years. A total of 670 children participated. The mean age was 4.96 years at the start of the study and 7.02 years at the end of the study. At the end of the first year of kindergarten, both visual-spatial working memory and number sense were measured by two different tasks. At the end of first grade, mathematical performance was measured with two tasks, one for math facts and one for math problems. Multiple regressions revealed that both visual working memory and symbolic number sense are predictors of mathematical performance in first grade. Symbolic number sense appears to be the strongest predictor for both math areas (math facts and math problems). Non-symbolic number sense only predicts performance in math problems. Multivariate analyses of variance showed that a combination of visual working memory and number sense deficits (NSDs) leads to the lowest performance on mathematics. Our DD hypothesis was confirmed. Both visual working memory and symbolic number sense in kindergarten are related to mathematical performance 2 years later, and a combination of visual working memory and NSDs leads to low performance in mathematical performance. © 2016 The British Psychological Society.

Mathematics Programming on the Apple II and IBM PC.

Science.gov (United States)

Myers, Roy E.; Schneider, David I.

1987-01-01

Details the features of BASIC used in mathematics programming and provides the information needed to translate between the Apple II and IBM PC computers. Discusses inputing a user-defined function, setting scroll windows, displaying subscripts and exponents, variable names, mathematical characters and special symbols. (TW)

Unsupervised Symbolization of Signal Time Series for Extraction of the Embedded Information

Directory of Open Access Journals (Sweden)

Yue Li

2017-03-01

Full Text Available This paper formulates an unsupervised algorithm for symbolization of signal time series to capture the embedded dynamic behavior. The key idea is to convert time series of the digital signal into a string of (spatially discrete symbols from which the embedded dynamic information can be extracted in an unsupervised manner (i.e., no requirement for labeling of time series. The main challenges here are: (1 definition of the symbol assignment for the time series; (2 identification of the partitioning segment locations in the signal space of time series; and (3 construction of probabilistic finite-state automata (PFSA from the symbol strings that contain temporal patterns. The reported work addresses these challenges by maximizing the mutual information measures between symbol strings and PFSA states. The proposed symbolization method has been validated by numerical simulation as well as by experimentation in a laboratory environment. Performance of the proposed algorithm has been compared to that of two commonly used algorithms of time series partitioning.

Application of symbolic and algebraic manipulation software in solving applied mechanics problems

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Tsai, Wen-Lang; Kikuchi, Noboru

1993-01-01

As its name implies, symbolic and algebraic manipulation is an operational tool which not only can retain symbols throughout computations but also can express results in terms of symbols. This report starts with a history of symbolic and algebraic manipulators and a review of the literatures. With the help of selected examples, the capabilities of symbolic and algebraic manipulators are demonstrated. These applications to problems of applied mechanics are then presented. They are the application of automatic formulation to applied mechanics problems, application to a materially nonlinear problem (rigid-plastic ring compression) by finite element method (FEM) and application to plate problems by FEM. The advantages and difficulties, contributions, education, and perspectives of symbolic and algebraic manipulation are discussed. It is well known that there exist some fundamental difficulties in symbolic and algebraic manipulation, such as internal swelling and mathematical limitation. A remedy for these difficulties is proposed, and the three applications mentioned are solved successfully. For example, the closed from solution of stiffness matrix of four-node isoparametrical quadrilateral element for 2-D elasticity problem was not available before. Due to the work presented, the automatic construction of it becomes feasible. In addition, a new advantage of the application of symbolic and algebraic manipulation found is believed to be crucial in improving the efficiency of program execution in the future. This will substantially shorten the response time of a system. It is very significant for certain systems, such as missile and high speed aircraft systems, in which time plays an important role.

Mathematics Education: Student Terminal Goals, Program Goals, and Behavioral Objectives.

Science.gov (United States)

Mesa Public Schools, AZ.

Behavioral objectives are listed for the primary, intermediate and junior high mathematics curriculum in the Mesa Public Schools (Arizona). Lists of specific objectives are given by level for sets, symbol recognition, number operations, mathematical structures, measurement and problem solving skills. (JP)

Mathematical sense-making in quantum mechanics: An initial peek

Science.gov (United States)

Dreyfus, Benjamin W.; Elby, Andrew; Gupta, Ayush; Sohr, Erin Ronayne

2017-12-01

Mathematical sense-making—looking for coherence between the structure of the mathematical formalism and causal or functional relations in the world—is a core component of physics expertise. Some physics education research studies have explored what mathematical sense-making looks like at the introductory physics level, while some historians and "science studies" have explored how expert physicists engage in it. What is largely missing, with a few exceptions, is theoretical and empirical work at the intermediate level—upper division physics students—especially when they are learning difficult new mathematical formalism. In this paper, we present analysis of a segment of video-recorded discussion between two students grappling with a quantum mechanics question to illustrate what mathematical sense-making can look like in quantum mechanics. We claim that mathematical sense-making is possible and productive for learning and problem solving in quantum mechanics. Mathematical sense-making in quantum mechanics is continuous in many ways with mathematical sense-making in introductory physics. However, in the context of quantum mechanics, the connections between formalism, intuitive conceptual schema, and the physical world become more compound (nested) and indirect. We illustrate these similarities and differences in part by proposing a new symbolic form, eigenvector eigenvalue, which is composed of multiple primitive symbolic forms.

Does the Approximate Number System Serve as a Foundation for Symbolic Mathematics?

Science.gov (United States)

Szkudlarek, Emily; Brannon, Elizabeth M.

2017-01-01

In this article we first review evidence for the approximate number system (ANS), an evolutionarily ancient and developmentally conservative cognitive mechanism for representing number without language. We then critically review five different lines of support for the proposal that symbolic representations of number build upon the ANS, and discuss…

VMEXT: A Visualization Tool for Mathematical Expression Trees

OpenAIRE

Schubotz, Moritz; Meuschke, Norman; Hepp, Thomas; Cohl, Howard S.; Gipp, Bela

2017-01-01

Mathematical expressions can be represented as a tree consisting of terminal symbols, such as identifiers or numbers (leaf nodes), and functions or operators (non-leaf nodes). Expression trees are an important mechanism for storing and processing mathematical expressions as well as the most frequently used visualization of the structure of mathematical expressions. Typically, researchers and practitioners manually visualize expression trees using general-purpose tools. This approach is labori...

Cross-spectrum symbol synchronization

Science.gov (United States)

Mccallister, R. D.; Simon, M. K.

1981-01-01

A popular method of symbol synchronization exploits one aspect of generalized harmonic analysis, normally referred to as the cross-spectrum. Utilizing nonlinear techniques, the input symbol energy is effectively concentrated onto multiples of the symbol clock frequency, facilitating application of conventional phase lock synchronization techniques. A general treatment of the cross-spectrum technique is developed and shown to be applicable across a broad class of symbol modulation formats. An important specific symbol synchronization application is then treated, focusing the general development to provide both insight and quantitative measure of the performance impact associated with variation in these key synchronization parameters: symbol modulation format, symbol transition probability, symbol energy to noise density ratio, and symbol rate to filter bandwidth ratio.

Symbolic Number Comparison Is Not Processed by the Analog Number System: Different Symbolic and Non-symbolic Numerical Distance and Size Effects

Directory of Open Access Journals (Sweden)

Attila Krajcsi

2018-02-01

Full Text Available HIGHLIGHTSWe test whether symbolic number comparison is handled by an analog noisy system.Analog system model has systematic biases in describing symbolic number comparison.This suggests that symbolic and non-symbolic numbers are processed by different systems.Dominant numerical cognition models suppose that both symbolic and non-symbolic numbers are processed by the Analog Number System (ANS working according to Weber's law. It was proposed that in a number comparison task the numerical distance and size effects reflect a ratio-based performance which is the sign of the ANS activation. However, increasing number of findings and alternative models propose that symbolic and non-symbolic numbers might be processed by different representations. Importantly, alternative explanations may offer similar predictions to the ANS prediction, therefore, former evidence usually utilizing only the goodness of fit of the ANS prediction is not sufficient to support the ANS account. To test the ANS model more rigorously, a more extensive test is offered here. Several properties of the ANS predictions for the error rates, reaction times, and diffusion model drift rates were systematically analyzed in both non-symbolic dot comparison and symbolic Indo-Arabic comparison tasks. It was consistently found that while the ANS model's prediction is relatively good for the non-symbolic dot comparison, its prediction is poorer and systematically biased for the symbolic Indo-Arabic comparison. We conclude that only non-symbolic comparison is supported by the ANS, and symbolic number comparisons are processed by other representation.

Students’ mathematical representations on secondary school in solving trigonometric problems

Science.gov (United States)

Istadi; Kusmayadi, T. A.; Sujadi, I.

2017-06-01

This research aimed to analyse students’ mathematical representations on secondary school in solving trigonometric problems. This research used qualitative method. The participants were 4 students who had high competence of knowledge taken from 20 students of 12th natural-science grade SMAN-1 Kota Besi, Central Kalimantan. Data validation was carried out using time triangulation. Data analysis used Huberman and Miles stages. The results showed that their answers were not only based on the given figure, but also used the definition of trigonometric ratio on verbal representations. On the other hand, they were able to determine the object positions to be observed. However, they failed to determine the position of the angle of depression at the sketches made on visual representations. Failure in determining the position of the angle of depression to cause an error in using the mathematical equation. Finally, they were unsuccessful to use the mathematical equation properly on symbolic representations. From this research, we could recommend the importance of translations between mathematical problems and mathematical representations as well as translations among mathematical representaions (verbal, visual, and symbolic) in learning mathematics in the classroom.

Mathematical Representation Ability by Using Project Based Learning on the Topic of Statistics

Science.gov (United States)

Widakdo, W. A.

2017-09-01

Seeing the importance of the role of mathematics in everyday life, mastery of the subject areas of mathematics is a must. Representation ability is one of the fundamental ability that used in mathematics to make connection between abstract idea with logical thinking to understanding mathematics. Researcher see the lack of mathematical representation and try to find alternative solution to dolve it by using project based learning. This research use literature study from some books and articles in journals to see the importance of mathematical representation abiliy in mathemtics learning and how project based learning able to increase this mathematical representation ability on the topic of Statistics. The indicators for mathematical representation ability in this research classifies namely visual representation (picture, diagram, graph, or table); symbolize representation (mathematical statement. Mathematical notation, numerical/algebra symbol) and verbal representation (written text). This article explain about why project based learning able to influence student’s mathematical representation by using some theories in cognitive psychology, also showing the example of project based learning that able to use in teaching statistics, one of mathematics topic that very useful to analyze data.

Symbolism in prehistoric man.

Science.gov (United States)

Facchini, F

2000-12-01

The aptitude for symbolization, characteristic of man, is revealed not only in artistic representations and funerary practices. It is exhibited by every manifestation of human activity or representation of natural phenomena that assumes or refers to a meaning. We can recognize functional symbolism (tool-making, habitative or food technology), social symbolism, (language and social communication) and spiritual symbolism (funerary practices and artistic expressions). On the basis of these concepts, research into symbolism in prehistoric man allows us to recognize forms of symbolism already in the manifestations of the most ancient humans, starting with Homo habilis (or rudolfensis). Toolmaking, social organization and organization of the territory are oriented toward survival and the life of the family group. They attest to symbolic behaviors and constitute symbolic systems by means of which man expresses himself, lives and transmits his symbolic world. The diverse forms of symbolism are discussed with reference to the different phases of prehistoric humanity.

Can symbols be ‘promoted’ or ‘demoted’?: Symbols as religious phenomena

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Jaco Beyers

2013-03-01

Full Text Available Religious symbols are part of our world, relating to another world. In order to understand the process by which symbols grow and develop, the particular context of a symbol is important. In this article a particular theory as to what symbols are, is presented. Religion presupposes the existence of two worlds: this-worldly (profane and the other-worldly (sacred. The means of communication and reference between these two worlds are symbols. Two examples are investigated so as to indicate how symbols can over time either be demoted or promoted. In the case of the Asherah and asherah as related in the Old Testament a demotion of a symbol is illustrated. The growth of ancient Egyptian religion is an example of a possible promotion of symbols. The conditions under which these processes can occur are investigated.

Insights into teaching mathematics

CERN Document Server

Orton, Anthony

2004-01-01

Providing essential guidance and background information about teaching mathematics, this book is intended particularly for teachers who do not regard themselves as specialists in mathematics. It deals with issues of learning and teaching, including the delivery of content and the place of problems and investigations. Difficulties which pupils encounter in connection with language and symbols form important sections of the overall discussion of how to enhance learning. The curriculum is considered in brief under the headings of number, algebra, shape and space, and data handling, and special at

Symbolic PathFinder: Symbolic Execution of Java Bytecode

Science.gov (United States)

Pasareanu, Corina S.; Rungta, Neha

2010-01-01

Symbolic Pathfinder (SPF) combines symbolic execution with model checking and constraint solving for automated test case generation and error detection in Java programs with unspecified inputs. In this tool, programs are executed on symbolic inputs representing multiple concrete inputs. Values of variables are represented as constraints generated from the analysis of Java bytecode. The constraints are solved using off-the shelf solvers to generate test inputs guaranteed to achieve complex coverage criteria. SPF has been used successfully at NASA, in academia, and in industry.

Virtual Manipulatives: Tools for Teaching Mathematics to Students with Learning Disabilities

Science.gov (United States)

Shin, Mikyung; Bryant, Diane P.; Bryant, Brian R.; McKenna, John W.; Hou, Fangjuan; Ok, Min Wook

2017-01-01

Many students with learning disabilities demonstrate difficulty in developing a conceptual understanding of mathematical topics. Researchers recommend using visual models to support student learning of the concepts and skills necessary to complete abstract and symbolic mathematical problems. Virtual manipulatives (i.e., interactive visual models)…

The Arithmetical Machine Zero + 1 in Mathematics Laboratory: Instrumental Genesis and Semiotic Mediation

Science.gov (United States)

Maschietto, Michela

2015-01-01

This paper presents the analysis of two teaching experiments carried out in the context of the mathematics laboratory in a primary school (grades 3 and 4) with the use of the pascaline Zero + 1, an arithmetical machine. The teaching experiments are analysed by coordinating two theoretical frameworks, i.e. the instrumental approach and the Theory…

Concealed identification symbols and nondestructive determination of the identification symbols

Science.gov (United States)

Nance, Thomas A.; Gibbs, Kenneth M.

2014-09-16

The concealing of one or more identification symbols into a target object and the subsequent determination or reading of such symbols through non-destructive testing is described. The symbols can be concealed in a manner so that they are not visible to the human eye and/or cannot be readily revealed to the human eye without damage or destruction of the target object. The identification symbols can be determined after concealment by e.g., the compilation of multiple X-ray images. As such, the present invention can also provide e.g., a deterrent to theft and the recovery of lost or stolen objects.

EMD-Based Symbolic Dynamic Analysis for the Recognition of Human and Nonhuman Pyroelectric Infrared Signals

Directory of Open Access Journals (Sweden)

Jiaduo Zhao

2016-01-01

Full Text Available In this paper, we propose an effective human and nonhuman pyroelectric infrared (PIR signal recognition method to reduce PIR detector false alarms. First, using the mathematical model of the PIR detector, we analyze the physical characteristics of the human and nonhuman PIR signals; second, based on the analysis results, we propose an empirical mode decomposition (EMD-based symbolic dynamic analysis method for the recognition of human and nonhuman PIR signals. In the proposed method, first, we extract the detailed features of a PIR signal into five symbol sequences using an EMD-based symbolization method, then, we generate five feature descriptors for each PIR signal through constructing five probabilistic finite state automata with the symbol sequences. Finally, we use a weighted voting classification strategy to classify the PIR signals with their feature descriptors. Comparative experiments show that the proposed method can effectively classify the human and nonhuman PIR signals and reduce PIR detector’s false alarms.

EMD-Based Symbolic Dynamic Analysis for the Recognition of Human and Nonhuman Pyroelectric Infrared Signals.

Science.gov (United States)

Zhao, Jiaduo; Gong, Weiguo; Tang, Yuzhen; Li, Weihong

2016-01-20

In this paper, we propose an effective human and nonhuman pyroelectric infrared (PIR) signal recognition method to reduce PIR detector false alarms. First, using the mathematical model of the PIR detector, we analyze the physical characteristics of the human and nonhuman PIR signals; second, based on the analysis results, we propose an empirical mode decomposition (EMD)-based symbolic dynamic analysis method for the recognition of human and nonhuman PIR signals. In the proposed method, first, we extract the detailed features of a PIR signal into five symbol sequences using an EMD-based symbolization method, then, we generate five feature descriptors for each PIR signal through constructing five probabilistic finite state automata with the symbol sequences. Finally, we use a weighted voting classification strategy to classify the PIR signals with their feature descriptors. Comparative experiments show that the proposed method can effectively classify the human and nonhuman PIR signals and reduce PIR detector's false alarms.

An Enzymatic Clinical Chemistry Laboratory Experiment Incorporating an Introduction to Mathematical Method Comparison Techniques

Science.gov (United States)

Duxbury, Mark

2004-01-01

An enzymatic laboratory experiment based on the analysis of serum is described that is suitable for students of clinical chemistry. The experiment incorporates an introduction to mathematical method-comparison techniques in which three different clinical glucose analysis methods are compared using linear regression and Bland-Altman difference…

Rotation-robust math symbol recognition and retrieval using outer contours and image subsampling

Science.gov (United States)

Zhu, Siyu; Hu, Lei; Zanibbi, Richard

2013-01-01

This paper presents an unified recognition and retrieval system for isolated offline printed mathematical symbols for the first time. The system is based on nearest neighbor scheme and uses modified Turning Function and Grid Features to calculate the distance between two symbols based on Sum of Squared Difference. An unwrap process and an alignment process are applied to modify Turning Function to deal with the horizontal and vertical shift caused by the changing of staring point and rotation. This modified Turning Function make our system robust against rotation of the symbol image. The system obtains top-1 recognition rate of 96.90% and 47.27% Area Under Curve (AUC) of precision/recall plot on the InftyCDB-3 dataset. Experiment result shows that the system with modified Turning Function performs significantly better than the system with original Turning Function on the rotated InftyCDB-3 dataset.

Symbolic and non symbolic numerical representation in adults with and without developmental dyscalculia

Directory of Open Access Journals (Sweden)

Furman Tamar

2012-11-01

Full Text Available Abstract Background The question whether Developmental Dyscalculia (DD; a deficit in the ability to process numerical information is the result of deficiencies in the non symbolic numerical representation system (e.g., a group of dots or in the symbolic numerical representation system (e.g., Arabic numerals has been debated in scientific literature. It is accepted that the non symbolic system is divided into two different ranges, the subitizing range (i.e., quantities from 1-4 which is processed automatically and quickly, and the counting range (i.e., quantities larger than 4 which is an attention demanding procedure and is therefore processed serially and slowly. However, so far no study has tested the automaticity of symbolic and non symbolic representation in DD participants separately for the subitizing and the counting ranges. Methods DD and control participants undergo a novel version of the Stroop task, i.e., the Enumeration Stroop. They were presented with a random series of between one and nine written digits, and were asked to name either the relevant written digit (in the symbolic task or the relevant quantity of digits (in the non symbolic task while ignoring the irrelevant aspect. Result DD participants, unlike the control group, didn't show any congruency effect in the subitizing range of the non symbolic task. Conclusion These findings suggest that DD may be impaired in the ability to process symbolic numerical information or in the ability to automatically associate the two systems (i.e., the symbolic vs. the non symbolic. Additionally DD have deficiencies in the non symbolic counting range.

Symbolic and non symbolic numerical representation in adults with and without developmental dyscalculia.

Science.gov (United States)

Furman, Tamar; Rubinsten, Orly

2012-11-28

The question whether Developmental Dyscalculia (DD; a deficit in the ability to process numerical information) is the result of deficiencies in the non symbolic numerical representation system (e.g., a group of dots) or in the symbolic numerical representation system (e.g., Arabic numerals) has been debated in scientific literature. It is accepted that the non symbolic system is divided into two different ranges, the subitizing range (i.e., quantities from 1-4) which is processed automatically and quickly, and the counting range (i.e., quantities larger than 4) which is an attention demanding procedure and is therefore processed serially and slowly. However, so far no study has tested the automaticity of symbolic and non symbolic representation in DD participants separately for the subitizing and the counting ranges. DD and control participants undergo a novel version of the Stroop task, i.e., the Enumeration Stroop. They were presented with a random series of between one and nine written digits, and were asked to name either the relevant written digit (in the symbolic task) or the relevant quantity of digits (in the non symbolic task) while ignoring the irrelevant aspect. DD participants, unlike the control group, didn't show any congruency effect in the subitizing range of the non symbolic task. These findings suggest that DD may be impaired in the ability to process symbolic numerical information or in the ability to automatically associate the two systems (i.e., the symbolic vs. the non symbolic). Additionally DD have deficiencies in the non symbolic counting range.

On-line condition monitoring of nuclear systems via symbolic time series analysis

International Nuclear Information System (INIS)

Rajagopalan, V.; Ray, A.; Garcia, H. E.

2006-01-01

This paper provides a symbolic time series analysis approach to fault diagnostics and condition monitoring. The proposed technique is built upon concepts from wavelet theory, symbolic dynamics and pattern recognition. Various aspects of the methodology such as wavelet selection, choice of alphabet and determination of depth of D-Markov Machine are explained in the paper. The technique is validated with experiments performed in a Machine Condition Monitoring (MCM) test bed at the Idaho National Laboratory. (authors)

Informal Content and Student Note-Taking in Advanced Mathematics Classes

Science.gov (United States)

Fukawa-Connelly, Timothy; Weber, Keith; Mejía-Ramos, Juan Pablo

2017-01-01

This study investigates 3 hypotheses about proof-based mathematics instruction: (a) that lectures include informal content (ways of thinking and reasoning about advanced mathematics that are not captured by formal symbolic statements), (b) that informal content is usually presented orally but not written on the board, and (c) that students do not…

Mathematical foundations of time series analysis a concise introduction

CERN Document Server

Beran, Jan

2017-01-01

This book provides a concise introduction to the mathematical foundations of time series analysis, with an emphasis on mathematical clarity. The text is reduced to the essential logical core, mostly using the symbolic language of mathematics, thus enabling readers to very quickly grasp the essential reasoning behind time series analysis. It appeals to anybody wanting to understand time series in a precise, mathematical manner. It is suitable for graduate courses in time series analysis but is equally useful as a reference work for students and researchers alike.

Mathematics is always invisible, Professor Dowling

Science.gov (United States)

Cable, John

2015-09-01

This article provides a critical evaluation of a technique of analysis, the Social Activity Method, recently offered by Dowling (2013) as a `gift' to mathematics education. The method is found to be inadequate, firstly, because it employs a dichotomy (between `expression' and `content') instead of a finer analysis (into symbols, concepts and setting or phenomena), and, secondly, because the distinction between `public' and `esoteric' mathematics, although interesting, is allowed to obscure the structure of the mathematics itself. There is also criticism of what Dowling calls the `myth of participation', which denies the intimate links between mathematics and the rest of the universe that lie at the heart of mathematical pedagogy. Behind all this lies Dowling's `essentially linguistic' conception of mathematics, which is criticised on the dual ground that it ignores the chastening experience of formalism in mathematical philosophy and that linguistics itself has taken a wrong turn and ignores lessons that might be learnt from mathematics education.

A mathematical approach to research problems of science and technology theoretical basis and developments in mathematical modeling

CERN Document Server

Ei, Shin-ichiro; Koiso, Miyuki; Ochiai, Hiroyuki; Okada, Kanzo; Saito, Shingo; Shirai, Tomoyuki

2014-01-01

This book deals with one of the most novel advances in mathematical modeling for applied scientific technology, including computer graphics, public-key encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms. One of the unique features of this book is that it shows readers how to use pure and applied mathematics, especially those mathematical theory/techniques developed in the twentieth century, and developing now, to solve applied problems in several fields of industry. Each chapter includes clues on how to use "mathematics" to solve concrete problems faced in industry as well as practical applications. The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences.

Mathematical writing

CERN Document Server

Vivaldi, Franco

2014-01-01

This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student.   The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs, to end with short compositions. These may represent the introduction of a concept, the abstract of a presentation or the proof of a theorem. Along the way the student will learn how to establish a coherent notation, mix words and symbols effectively, write neat formulae, and structure a definition.   Some elements of logic and all common methods of proofs are featured, including various versions of induction and existence proofs. The book concludes with advice on specific aspects of thesis writing (choosing of a title, composing an abstract, compiling a bibliography) illustrated by large number of real-life examples. Many exercises are included; over 150...

'demoted'?: Symbols as religious phenomena

African Journals Online (AJOL)

2013-03-06

Mar 6, 2013 ... process by which symbols grow and develop, the particular context of a symbol is important. In this article a particular theory as to what symbols are, is presented. ... of communication and reference between these two worlds are symbols. .... from a psychological perspective, understands symbols as a.

The Developmental Onset of Symbolic Approximation: Beyond Nonsymbolic Representations, The Language of Numbers Matters

Directory of Open Access Journals (Sweden)

Iro eXenidou-Dervou

2015-04-01

Full Text Available Symbolic (i.e., with Arabic numerals approximate arithmetic with large numerosities is an important predictor of mathematics. It was previously evidenced to onset before formal schooling at the kindergarten age (Gilmore et al., 2007 and was assumed to map onto pre-existing nonsymbolic (i.e., abstract magnitudes representations. With a longitudinal study (Experiment 1, we show, for the first time, that nonsymbolic and symbolic arithmetic demonstrate different developmental trajectories. In contrast to Gilmore et al.’s (2007 findings, Experiment 1 showed that symbolic arithmetic onsets in grade 1, with the start of formal schooling, not earlier. Gilmore et al. (2007 had examined English-speaking children, whereas we assessed a large Dutch-speaking sample. The Dutch language for numbers can be cognitively more demanding, for example, due to the inversion property in numbers above twenty. Thus, for instance, the number 48 is named in Dutch achtenveertig (eight and forty instead of forty eight. To examine the effect of the language of numbers, we conducted a cross-cultural study with English- and Dutch-speaking children that had similar SES and math achievement skills (Experiment 2. Results demonstrated that Dutch-speaking kindergarteners lagged behind English-speaking children in symbolic arithmetic, not nonsymbolic and demonstrated a WM overload in symbolic arithmetic, not nonsymbolic. Also, we show for the first time that the ability to name two-digit numbers highly correlates with symbolic approximate arithmetic not nonsymbolic. Our experiments empirically demonstrate that the symbolic number system is modulated more by development and education than the nonsymbolic system. Also, in contrast to the nonsymbolic system, the symbolic system is modulated by language.

Symbolic and non-symbolic number magnitude processing in children with developmental dyscalculia.

Science.gov (United States)

Castro Cañizares, Danilka; Reigosa Crespo, Vivian; González Alemañy, Eduardo

2012-11-01

The aim of this study was to evaluate if children with Developmental Dyscalculia (DD) exhibit a general deficit in magnitude representations or a specific deficit in the connection of symbolic representations with the corresponding analogous magnitudes. DD was diagnosed using a timed arithmetic task. The experimental magnitude comparison tasks were presented in non-symbolic and symbolic formats. DD and typically developing (TD) children showed similar numerical distance and size congruity effects. However, DD children performed significantly slower in the symbolic task. These results are consistent with the access deficit hypothesis, according to which DD children's deficits are caused by difficulties accessing magnitude information from numerical symbols rather than in processing numerosities per se.

How does Complex Mathematical Theory Arise? Phylogenetic and Cultural Origins of Algebra

Science.gov (United States)

Cruz, Helen De

Algebra has emergent properties that are neither found in the cultural context in which mathematicians work, nor in the evolved cognitive abilities for mathematical thought that enable it. In this paper, I argue that an externalization of mathematical operations in a consistent symbolic notation system is a prerequisite for these emergent properties. In particular, externalism allows mathematicians to perform operations that would be impossible in the mind alone. By comparing the development of algebra in three distinct historical cultural settings - China, the medieval Islamic world and early modern Europe - I demonstrate that such an active externalism requires specific cultural conditions, including a metaphysical view of the world compatible with science, a notation system that enables the symbolic notation of operations, and the ontological viewpoint that mathematics is a human endeavour. I discuss how extending mathematical operations from the brain into the world gives algebra a degree of autonomy that is impossible to achieve were it performed in the mind alone.

Animated symbols

DEFF Research Database (Denmark)

Frølunde, Lisbeth

2008-01-01

an analytic working model called Animated Symbols concerning critical reflection in a dialogic learning process. The model shows dialogue as interactions that involve two types of transformation: inner ‘learning processes' and outer signs and symbols. The classroom-based research study is part of a Ph...

SYMBOL AND LOGO. THE WAY IN WHICH YOUNG PEOPLE IN KRAKOW PERCEIVE SYMBOLS

Directory of Open Access Journals (Sweden)

Marta Jarzyna

2006-01-01

Full Text Available Symbols are essential elements of each culture. Thanks to them the meaning is created and tradition is kept alive. Advertising and marketing specialist quite often use the meanings of the symbols to create trademarks. In this way specialists refer to the assotiations rooted in the tradition.In my article I am trying to answer following questions: Has logo become symbol? Has logo taken over all the function of the symbol? Can we tell the difference between the meaning of the advertisement and the cultural meaning? I also want to find out, what people understand through the meaning of the symbol. Therfore I have conducted the survey among the high school students and the customers of three banks of Krakow. My researches have shown that most young people find it difficult to define the meaning of the symbol. Moreover high school students cannot show the difference between the symbol and the trade mark.

Impact of High Mathematics Education on the Number Sense

Science.gov (United States)

Castronovo, Julie; Göbel, Silke M.

2012-01-01

In adult number processing two mechanisms are commonly used: approximate estimation of quantity and exact calculation. While the former relies on the approximate number sense (ANS) which we share with animals and preverbal infants, the latter has been proposed to rely on an exact number system (ENS) which develops later in life following the acquisition of symbolic number knowledge. The current study investigated the influence of high level math education on the ANS and the ENS. Our results showed that the precision of non-symbolic quantity representation was not significantly altered by high level math education. However, performance in a symbolic number comparison task as well as the ability to map accurately between symbolic and non-symbolic quantities was significantly better the higher mathematics achievement. Our findings suggest that high level math education in adults shows little influence on their ANS, but it seems to be associated with a better anchored ENS and better mapping abilities between ENS and ANS. PMID:22558077

Noncoherent Symbol Synchronization Techniques

Science.gov (United States)

Simon, Marvin

2005-01-01

Traditional methods for establishing symbol synchronization (sync) in digital communication receivers assume that carrier sync has already been established, i.e., the problem is addressed at the baseband level assuming that a 'perfect' estimate of carrier phase is available. We refer to this approach as coherent symbol sync. Since, for NRZ signaling, a suppressed carrier sync loop such as an I-Q Costas loop includes integrate-and-dump (I and D) filters in its in-phase (1) and quadrature (Q) arms, the traditional approach is to first track the carrier in the absence of symbol sync information, then feed back the symbol sync estimate to these filters, and then iterate between the two to a desirable operating level In this paper, we revisit the symbol sync problem by examining methods for obtaining such sync in the absence of carrier phase information, i.e., so-called noncoherent symbol sync loops. We compare the performance of these loops with that of a well-known coherent symbol sync loop and examine the conditions under which one is preferable over the other.

Symbolic regression via genetic programming for data driven derivation of confinement scaling laws without any assumption on their mathematical form

International Nuclear Information System (INIS)

Murari, A; Peluso, E; Gelfusa, M; Lupelli, I; Lungaroni, M; Gaudio, P

2015-01-01

Many measurements are required to control thermonuclear plasmas and to fully exploit them scientifically. In the last years JET has shown the potential to generate about 50 GB of data per shot. These amounts of data require more sophisticated data analysis methodologies to perform correct inference and various techniques have been recently developed in this respect. The present paper covers a new methodology to extract mathematical models directly from the data without any a priori assumption about their expression. The approach, based on symbolic regression via genetic programming, is exemplified using the data of the International Tokamak Physics Activity database for the energy confinement time. The best obtained scaling laws are not in power law form and suggest a revisiting of the extrapolation to ITER. Indeed the best non-power law scalings predict confinement times in ITER approximately between 2 and 3 s. On the other hand, more comprehensive and better databases are required to fully profit from the power of these new methods and to discriminate between the hundreds of thousands of models that they can generate. (paper)

The impact of symbolic and non-symbolic quantity on spatial learning.

Directory of Open Access Journals (Sweden)

Koleen McCrink

Full Text Available An implicit mapping of number to space via a "mental number line" occurs automatically in adulthood. Here, we systematically explore the influence of differing representations of quantity (no quantity, non-symbolic magnitudes, and symbolic numbers and directional flow of stimuli (random flow, left-to-right, or right-to-left on learning and attention via a match-to-sample working memory task. When recalling a cognitively demanding string of spatial locations, subjects performed best when information was presented right-to-left. When non-symbolic or symbolic numerical arrays were embedded in these spatial locations, and mental number line congruency prompted, this effect was attenuated and in some cases reversed. In particular, low-performing female participants who viewed increasing non-symbolic number arrays paired with the spatial locations exhibited better recall for left-to-right directional flow information relative to right-to-left, and better processing for the left side of space relative to the right side of space. The presence of symbolic number during spatial learning enhanced recall to a greater degree than non-symbolic number--especially for female participants, and especially when cognitive load is high--and this difference was independent of directional flow of information. We conclude that quantity representations have the potential to scaffold spatial memory, but this potential is subtle, and mediated by the nature of the quantity and the gender and performance level of the learner.

Graphical symbol recognition

OpenAIRE

K.C. , Santosh; Wendling , Laurent

2015-01-01

International audience; The chapter focuses on one of the key issues in document image processing i.e., graphical symbol recognition. Graphical symbol recognition is a sub-field of a larger research domain: pattern recognition. The chapter covers several approaches (i.e., statistical, structural and syntactic) and specially designed symbol recognition techniques inspired by real-world industrial problems. It, in general, contains research problems, state-of-the-art methods that convey basic s...

[Symbol: see text]2 Optimized predictive image coding with [Symbol: see text]∞ bound.

Science.gov (United States)

Chuah, Sceuchin; Dumitrescu, Sorina; Wu, Xiaolin

2013-12-01

In many scientific, medical, and defense applications of image/video compression, an [Symbol: see text]∞ error bound is required. However, pure[Symbol: see text]∞-optimized image coding, colloquially known as near-lossless image coding, is prone to structured errors such as contours and speckles if the bit rate is not sufficiently high; moreover, most of the previous [Symbol: see text]∞-based image coding methods suffer from poor rate control. In contrast, the [Symbol: see text]2 error metric aims for average fidelity and hence preserves the subtlety of smooth waveforms better than the ∞ error metric and it offers fine granularity in rate control, but pure [Symbol: see text]2-based image coding methods (e.g., JPEG 2000) cannot bound individual errors as the [Symbol: see text]∞-based methods can. This paper presents a new compression approach to retain the benefits and circumvent the pitfalls of the two error metrics. A common approach of near-lossless image coding is to embed into a DPCM prediction loop a uniform scalar quantizer of residual errors. The said uniform scalar quantizer is replaced, in the proposed new approach, by a set of context-based [Symbol: see text]2-optimized quantizers. The optimization criterion is to minimize a weighted sum of the [Symbol: see text]2 distortion and the entropy while maintaining a strict [Symbol: see text]∞ error bound. The resulting method obtains good rate-distortion performance in both [Symbol: see text]2 and [Symbol: see text]∞ metrics and also increases the rate granularity. Compared with JPEG 2000, the new method not only guarantees lower [Symbol: see text]∞ error for all bit rates, but also it achieves higher PSNR for relatively high bit rates.

The Education of Mathematics

Directory of Open Access Journals (Sweden)

Abu Darda

2016-01-01

Full Text Available The objective of mathematics education is not only preparingmathematicians but making well-informed citizens. This is a broad generalterms for objective of the teaching of mathematics. And, this might beimplemented as “accurate thorough knowledge” or “original logicalthinking”. So, teaching mathematics is not the conversation andtransmission of mathematical knowledge, but on the aim of preparing wellinformedcitizens trained in independent, critical thinking.By the mathematics, sciences become simple, clearer, and easier to bedeveloped. The mathematics is often applied for solving any problem ofother field of sciences, either in the physics such as astronomy, chemistry,technique; or social sciences such as economy, demography, and assurance.Those all need an analysis reading ability.Mathematical skill, therefore, relates strongly with the analysisreading ability in the human intellectual structure. This study is about therelationship between them. And, result of the study shows us as below:Both Mathematical skill and analysis reading ability possess the “high type”of thinking operation. Both also involve the same content of the abstractintelligent, i.e. symbolic and semantic contents. Last but not least, both alsouse the same product of thinking, i.e. units, classes, relations, and systems.Both can be transformed and have an implication.

Symbol in View of Ambiguity

Directory of Open Access Journals (Sweden)

Mohamad reza Yousefi

2013-11-01

Full Text Available Abstract Symbol from the perspective of rhetorical word, is phrase or sentence that apparent meaning, also inspires to reader a wide range of semantic.Since exploring the complex social and political ideas in the most mysticalway and indirectreflectionsocial and political thoughts symbolically is easier, so the symbol and symbolism especially in Persian literatureespeciallyin the realm of Persian poetry, has a special appearance.In addition to the factors mentioned in the contemporary literature, according familiar in literature and the emergence of particular schools interest toambiguoussymbolization has spreadfurther, especially the symbol has all the features of art ambiguity in the poem and it isone the major factors causing uncertainty.Thus, the precise definitions and symbols of contemporary poetry could be dominant in the unwinding ambiguous symbol detection of cryptic allusions and metaphors that matches the cursor symbol to help readers.  In the literature, especially language poetry, the inability of language toreflecting obscure mystical ideas, avoid to directexpression of political and social concerns of the reader in the course of participate to creation ambiguous literary works is the main motivation towards symbol and symbolization.According widespread use of symbol and its different of species can be viewed from different perspectives.The creation of ambiguity is the main purposes of using symbols (especially in poetry, so many poets have tried to achieve this goal have to formation of similar symbols and the explanation and resolution of this issue can open new window for understanding the poetry in front of an audience.  In this paper examines the ambiguity of symbols in terms of its precise boundaries are reviewed. Ambiguity is one of the important processes and also is the key Iranian poetry its means is today poetry. In such poetry ambiguity is a need to explore the new world from a different perspective, or explore this

Symbol generators with program control

International Nuclear Information System (INIS)

Gryaznov, V.M.; Tomik, J.

1974-01-01

Methods of constructing symbol generators are described which ensure a program variation of symbol shape and setup. The symbols are formed on the basis of a point microraster. A symbol description code contains information on a symbol shape, with one digit corresponding to each microraster element. For a microraster discrete by-pass the description code is transformed into succession of illuminating pulses by means of a shift register

Political symbols and political transitions

Directory of Open Access Journals (Sweden)

Herrero de Miñón, Miguel

2006-11-01

Full Text Available Politics, Law and Psychology are fields that come together in the symbolic. This text takes evidence from those three areas to develop an analysis of political symbols and political transitions. The development of the analysis goes through three stages. The first succinctly describes the concept of transition and its meaning. The second closely examines the notion of the symbol, in terms of its definition, to explain aspects that allow us to understand it, characterise it and make its functions clear. Finally, from the author's experience as a witness and as an actor, I suggest three ways of understanding symbols in the processes of political transition: as symbols of change, as symbols of acknowledgment, and as symbols of support.

Bruce Springsteen as a Symbol

DEFF Research Database (Denmark)

Gitz-Johansen, Thomas

2018-01-01

The article explores how Bruce Springsteen and his music function as a symbol. The article first presents the Jungian theory of symbols and of music as symbol. The central argument of the article is that, by functioning symbolically, Springsteen has the potential to influence the psyche of his au...

Mathematics for everyman from simple numbers to the calculus

CERN Document Server

Colerus, Egmont

2003-01-01

Many people suffer from an inferiority complex where mathematics is concerned, regarding figures and equations with a fear based on bewilderment and inexperience. This book dispels some of the subject's alarming aspects, starting at the very beginning and assuming no mathematical education.Written in a witty and engaging style, the text contains an illustrative example for every point, as well as absorbing glimpses into mathematical history and philosophy. Topics include the system of tens and other number systems; symbols and commands; first steps in algebra and algebraic notation; common fr

Approximate numerical abilities and mathematics: Insight from correlational and experimental training studies.

Science.gov (United States)

Hyde, D C; Berteletti, I; Mou, Y

2016-01-01

Humans have the ability to nonverbally represent the approximate numerosity of sets of objects. The cognitive system that supports this ability, often referred to as the approximate number system (ANS), is present in early infancy and continues to develop in precision over the life span. It has been proposed that the ANS forms a foundation for uniquely human symbolic number and mathematics learning. Recent work has brought two types of evidence to bear on the relationship between the ANS and human mathematics: correlational studies showing individual differences in approximate numerical abilities correlate with individual differences in mathematics achievement and experimental studies showing enhancing effects of nonsymbolic approximate numerical training on exact, symbolic mathematical abilities. From this work, at least two accounts can be derived from these empirical data. It may be the case that the ANS and mathematics are related because the cognitive and brain processes responsible for representing numerical quantity in each format overlap, the Representational Overlap Hypothesis, or because of commonalities in the cognitive operations involved in mentally manipulating the representations of each format, the Operational Overlap hypothesis. The two hypotheses make distinct predictions for future work to test. © 2016 Elsevier B.V. All rights reserved.

Errors of Students Learning With React Strategy in Solving the Problems of Mathematical Representation Ability

Directory of Open Access Journals (Sweden)

Delsika Pramata Sari

2017-06-01

Full Text Available The purpose of this study was to investigate the errors experienced by students learning with REACT strategy and traditional learning in solving problems of mathematical representation ability. This study used quasi experimental pattern with static-group comparison design. The subjects of this study were 47 eighth grade students of junior high school in Bandung consisting of two samples. The instrument used was a test to measure students' mathematical representation ability. The reliability coefficient about the mathematical representation ability was 0.56. The most prominent errors of mathematical representation ability of students learning with REACT strategy and traditional learning, was on indicator that solving problem involving arithmetic symbols (symbolic representation. In addition, errors were also experienced by many students with traditional learning on the indicator of making the image of a real world situation to clarify the problem and facilitate its completion (visual representation.

Reciprocity Laws for the Higher Tame Symbol and the Witt Symbol on an Algebraic Surface

OpenAIRE

Syder, Kirsty

2013-01-01

Parshin's higher Witt pairing on an arithmetic surface can be combined with the higher tame pairing to form a symbol taking values in the absolute abelian Galois group of the function field. We prove reciprocity laws for this symbol using techniques of Morrow for the Witt symbol and Romo for the higher tame symbol.

Symbolic PathFinder v7

DEFF Research Database (Denmark)

Luckow, Kasper Søe; Păsăreanu, Corina

2014-01-01

We describe Symbolic PathFinder v7 in terms of its updated design addressing the changes of Java PathFinder v7 and of its new optimization when computing path conditions. Furthermore, we describe the Symbolic Execution Tree Extension; a newly added feature that allows for outputting the symbolic...... execution tree that characterizes the execution paths covered during symbolic execution. The new extension can be tailored to the needs of subsequent analyses/processing facilities, and we demonstrate this by presenting SPF-Visualizer, which is a tool for customizable visualization of the symbolic execution...

Ionizing-radiation warning - Supplementary symbol

International Nuclear Information System (INIS)

2007-01-01

This International Standard specifies the symbol to warn of the presence of a dangerous level of ionizing radiation from a high-level sealed radioactive source that can cause death or serious injury if handled carelessly. This symbol is not intended to replace the basic ionizing radiation symbol [ISO 361, ISO 7010:2003, Table 1 (Reference number W003)], but to supplement it by providing further information on the danger associated with the source and the necessity for untrained or uninformed members of the public to stay away from it. This symbol is recommended for use with International Atomic Energy Agency (IAEA) Category 1, 2, and 3 sealed radioactive sources. These sources are defined by the IAEA as having the ability to cause death or serious injuries. The paper informs about scope, shape, proportions and colour of the symbol, and application of the symbol. An annex provides the technical specifications of the symbol

Quantity processing in deaf and hard of hearing children: evidence from symbolic and nonsymbolic comparison tasks.

Science.gov (United States)

Rodríguez-Santos, José Miguel; Calleja, Marina; García-Orza, Javier; Iza, Mauricio; Damas, Jesús

2014-01-01

Deaf children usually achieve lower scores on numerical tasks than normally hearing peers. Explanations for mathematical disabilities in hearing children are based on quantity representation deficits (Geary, 1994) or on deficits in accessing these representations (Rousselle & Noël, 2008). The present study aimed to verify, by means of symbolic (Arabic digits) and nonsymbolic (dot constellations and hands) magnitude comparison tasks, whether deaf children show deficits in representations or in accessing numerical representations. The study participants were 10 prelocutive deaf children and 10 normally hearing children. Numerical distance and magnitude were manipulated. Response time (RT) analysis showed similar magnitude and distance effects in both groups on the 3 tasks. However, slower RTs were observed among the deaf participants on the symbolic task alone. These results suggest that although both groups' quantity representations were similar, the deaf group experienced a delay in accessing representations from symbolic codes.

SLOWNESS SURFACE CALCULATION FOR DIFFERENT MEDIA USING THE SYMBOLIC MATHEMATICS LANGUAGE MAPLE®

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Piedrahita Carlos

2004-06-01

Full Text Available Starting from the equation in different media, we obtain the different type of waves that can exists in such media. The evaluation of the eigenvalues and eigenvectors let us construct the slowness surfaces. In general complex calculations case have to be made. In this work, routines were implemented in the symbolic language MAPLE® and the slowness surfaces were plotted. This work is relevant for the modelling of equivalent media that simulates natural fractured reservoirs, like those common in the Colombian foothills. It is important to understand the seismic response of this reservoirs for exploration of this areas.

Cognitive predictors of children's development in mathematics achievement: A latent growth modeling approach.

Science.gov (United States)

Xenidou-Dervou, Iro; Van Luit, Johannes E H; Kroesbergen, Evelyn H; Friso-van den Bos, Ilona; Jonkman, Lisa M; van der Schoot, Menno; van Lieshout, Ernest C D M

2018-04-24

Research has identified various domain-general and domain-specific cognitive abilities as predictors of children's individual differences in mathematics achievement. However, research into the predictors of children's individual growth rates, namely between-person differences in within-person change in mathematics achievement is scarce. We assessed 334 children's domain-general and mathematics-specific early cognitive abilities and their general mathematics achievement longitudinally across four time-points within the first and second grades of primary school. As expected, a constellation of multiple cognitive abilities contributed to the children's starting level of mathematical success. Specifically, latent growth modeling revealed that WM abilities, IQ, counting skills, nonsymbolic and symbolic approximate arithmetic and comparison skills explained individual differences in the children's initial status on a curriculum-based general mathematics achievement test. Surprisingly, however, only one out of all the assessed cognitive abilities was a unique predictor of the children's individual growth rates in mathematics achievement: their performance in the symbolic approximate addition task. In this task, children were asked to estimate the sum of two large numbers and decide if this estimated sum was smaller or larger compared to a third number. Our findings demonstrate the importance of multiple domain-general and mathematics-specific cognitive skills for identifying children at risk of struggling with mathematics and highlight the significance of early approximate arithmetic skills for the development of one's mathematical success. We argue the need for more research focus on explaining children's individual growth rates in mathematics achievement. © 2018 John Wiley & Sons Ltd.

Self-organisation of symbolic information

Science.gov (United States)

Feistel, R.

2017-01-01

Information is encountered in two different appearances, in native form by arbitrary physical structures, or in symbolic form by coded sequences of letters or the like. The self-organised emergence of symbolic information from structural information is referred to as a ritualisation transition. Occurring at some stage in evolutionary history, ritualisation transitions have in common that after the crossover, arbitrary symbols are issued and recognised by information-processing devices, by transmitters and receivers in the sense of Shannon's communication theory. Symbolic information-processing systems exhibit the fundamental code symmetry whose key features, such as largely lossless copying or persistence under hostile conditions, may elucidate the reasons for the repeated successful occurrence of ritualisation phenomena in evolution history. Ritualisation examples are briefly reviewed such as the origin of life, the appearance of human languages, the establishment of emergent social categories such as money, or the development of digital computers. In addition to their role as carriers of symbolic information, symbols are physical structures which also represent structural information. For a thermodynamic description of symbols and their arrangements, it appears reasonable to distinguish between Boltzmann entropy, Clausius entropy and Pauling entropy. Thermodynamic properties of symbols imply that their lifetimes are limited by the 2nd law.

Characterizing the Nature of Students' Feature Noticing-and-Using with Respect to Mathematical Symbols across Different Levels of Algebra Exposure

Science.gov (United States)

Sullivan, Patrick

2013-01-01

The purpose of this study is to examine the nature of what students notice about symbols and use as they solve unfamiliar algebra problems based on familiar algebra concepts and involving symbolic inscriptions. The researcher conducted a study of students at three levels of algebra exposure: (a) students enrolled in a high school pre-calculus…

Interpretation of way-finding healthcare symbols by a multicultural population: navigation signage design for global health.

Science.gov (United States)

Hashim, Muhammad Jawad; Alkaabi, Mariam Salem Khamis Matar; Bharwani, Sulaiman

2014-05-01

The interpretation of way-finding symbols for healthcare facilities in a multicultural community was assessed in a cross-sectional study. One hundred participants recruited from Al Ain city in the United Arab Emirates were asked to interpret 28 healthcare symbols developed at Hablamos Juntos (such as vaccinations and laboratory) as well as 18 general-purpose symbols (such as elevators and restrooms). The mean age was 27.6 years (16-55 years) of whom 84 (84%) were females. Healthcare symbols were more difficult to comprehend than general-purpose signs. Symbols referring to abstract concepts were the most misinterpreted including oncology, diabetes education, outpatient clinic, interpretive services, pharmacy, internal medicine, registration, social services, obstetrics and gynecology, pediatrics and infectious diseases. Interpretation rates varied across cultural backgrounds and increased with higher education and younger age. Signage within healthcare facilities should be tested among older persons, those with limited literacy and across a wide range of cultures. Copyright © 2013 Elsevier Ltd and The Ergonomics Society. All rights reserved.

The influence of math anxiety on symbolic and non-symbolic magnitude processing.

Science.gov (United States)

Dietrich, Julia F; Huber, Stefan; Moeller, Korbinian; Klein, Elise

2015-01-01

Deficits in basic numerical abilities have been investigated repeatedly as potential risk factors of math anxiety. Previous research suggested that also a deficient approximate number system (ANS), which is discussed as being the foundation for later math abilities, underlies math anxiety. However, these studies examined this hypothesis by investigating ANS acuity using a symbolic number comparison task. Recent evidence questions the view that ANS acuity can be assessed using a symbolic number comparison task. To investigate whether there is an association between math anxiety and ANS acuity, we employed both a symbolic number comparison task and a non-symbolic dot comparison task, which is currently the standard task to assess ANS acuity. We replicated previous findings regarding the association between math anxiety and the symbolic distance effect for response times. High math anxious individuals showed a larger distance effect than less math anxious individuals. However, our results revealed no association between math anxiety and ANS acuity assessed using a non-symbolic dot comparison task. Thus, our results did not provide evidence for the hypothesis that a deficient ANS underlies math anxiety. Therefore, we propose that a deficient ANS does not constitute a risk factor for the development of math anxiety. Moreover, our results suggest that previous interpretations regarding the interaction of math anxiety and the symbolic distance effect have to be updated. We suggest that impaired number comparison processes in high math anxious individuals might account for the results rather than deficient ANS representations. Finally, impaired number comparison processes might constitute a risk factor for the development of math anxiety. Implications for current models regarding the origins of math anxiety are discussed.

The influence of math anxiety on symbolic and non-symbolic magnitude processing

Directory of Open Access Journals (Sweden)

Julia Felicitas Dietrich

2015-10-01

Full Text Available Deficits in basic numerical abilities have been investigated repeatedly as potential risk factors of math anxiety. Previous research suggested that also a deficient approximate number system (ANS, which is discussed as being the foundation for later math abilities, underlies math anxiety. However, these studies examined this hypothesis by investigating ANS acuity using a symbolic number comparison task. Recent evidence questions the view that ANS acuity can be assessed using a symbolic number comparison task. To investigate whether there is an association between math anxiety and ANS acuity, we employed both a symbolic number comparison task and a non-symbolic dot comparison task, which is currently the standard task to assess ANS acuity. We replicated previous findings regarding the association between math anxiety and the symbolic distance effect for response times. High math anxious individuals showed a larger distance effect than less math anxious individuals. However, our results revealed no association between math anxiety and ANS acuity assessed using a non-symbolic dot comparison task. Thus, our results did not provide evidence for the hypothesis that a deficient ANS underlies math anxiety. Therefore, we propose that a deficient ANS does not constitute a risk factor for the development of math anxiety. Moreover, our results suggest that previous interpretations regarding the interaction of math anxiety and the symbolic distance effect have to be updated. We suggest that impaired number comparison processes in high math anxious individuals might account for the results rather than deficient ANS representations. Finally, impaired number comparison processes might constitute a risk factor for the development of math anxiety. Implications for current models regarding the origins of math anxiety are discussed.

Symbol in Point View of Ambiguity

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Dr. M. R. Yousefi

Full Text Available Symbol from the perspective of rhetorical word, is phrase or sentence that apparent meaning, also inspires to reader a wide range of semantic.Since exploring the complex social and political ideas in the most mysticalway and indirectreflectionsocial and political thoughts symbolically is easier, so the symbol and symbolism especially in Persian literatureespeciallyin the realm of Persian poetry, has a special appearance.In addition to the factors mentioned in the contemporary literature, according familiar in literature and the emergence of particular schools interest toambiguoussymbolization has spreadfurther, especially the symbol has all the features of art ambiguity in the poem and it isone the major factors causing uncertainty.Thus, the precise definitions and symbols of contemporary poetry could be dominant in the unwinding ambiguous symbol detection of cryptic allusions and metaphors that matches the cursor symbol to help readers.In the literature, especially language poetry, the inability of language toreflecting obscure mystical ideas, avoid to directexpression of political and social concerns of the reader in the course of participate to creation ambiguous literary works is the main motivation towards symbol and symbolization.According widespread use of symbol and its different of species can be viewed from different perspectives.The creation of ambiguity is the main purposes of using symbols (especially in poetry, so many poets have tried to achieve this goal have to formation of similar symbols and the explanation and resolution of this issue can open new window for understanding the poetry in front of an audience.In this paper examines the ambiguity of symbols in terms of its precise boundaries are reviewed. Ambiguity is one of the important processes and also is the key Iranian poetry; its means is today poetry. In such poetry ambiguity is a need to explore the new world from a different perspective, or explore this complex world

Algebraic Reasoning in Solving Mathematical Problem Based on Learning Style

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Indraswari, N. F.; Budayasa, I. K.; Ekawati, R.

2018-01-01

This study aimed to describe algebraic reasoning of secondary school’s pupils with different learning styles in solving mathematical problem. This study begins by giving the questionnaire to find out the learning styles and followed by mathematical ability test to get three subjects of 8th-grade whereas the learning styles of each pupil is visual, auditory, kinesthetic and had similar mathematical abilities. Then it continued with given algebraic problems and interviews. The data is validated using triangulation of time. The result showed that in the pattern of seeking indicator, subjects identified the things that were known and asked based on them observations. The visual and kinesthetic learners represented the known information in a chart, whereas the auditory learner in a table. In addition, they found the elements which makes the pattern and made a relationship between two quantities. In the pattern recognition indicator, they created conjectures on the relationship between two quantities and proved it. In the generalization indicator, they were determining the general rule of pattern found on each element of pattern using algebraic symbols and created a mathematical model. Visual and kinesthetic learners determined the general rule of equations which was used to solve problems using algebraic symbols, but auditory learner in a sentence.

A Prototype Symbolic Model of Canonical Functional Neuroanatomy of the Motor System

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Rubin, Daniel L.; Halle, Michael; Musen, Mark; Kikinis, Ron

2008-01-01

Recent advances in bioinformatics have opened entire new avenues for organizing, integrating and retrieving neuroscientific data, in a digital, machine-processable format, which can be at the same time understood by humans, using ontological, symbolic data representations. Declarative information stored in ontological format can be perused and maintained by domain experts, interpreted by machines, and serve as basis for a multitude of decision-support, computerized simulation, data mining, and teaching applications. We have developed a prototype symbolic model of canonical neuroanatomy of the motor system. Our symbolic model is intended to support symbolic lookup, logical inference and mathematical modeling by integrating descriptive, qualitative and quantitative functional neuroanatomical knowledge. Furthermore, we show how our approach can be extended to modeling impaired brain connectivity in disease states, such as common movement disorders. In developing our ontology, we adopted a disciplined modeling approach, relying on a set of declared principles, a high-level schema, Aristotelian definitions, and a frame-based authoring system. These features, along with the use of the Unified Medical Language System (UMLS) vocabulary, enable the alignment of our functional ontology with an existing comprehensive ontology of human anatomy, and thus allow for combining the structural and functional views of neuroanatomy for clinical decision support and neuroanatomy teaching applications. Although the scope of our current prototype ontology is limited to a particular functional system in the brain, it may be possible to adapt this approach for modeling other brain functional systems as well. PMID:18164666

Symbolic signal processing

International Nuclear Information System (INIS)

Rechester, A.B.; White, R.B.

1993-01-01

Complex dynamic processes exhibit many complicated patterns of evolution. How can all these patterns be recognized using only output (observational, experimental) data without prior knowledge of the equations of motion? The powerful method for doing this is based on symbolic dynamics: (1) Present output data in symbolic form (trial language). (2) Topological and metric entropies are constructed. (3) Develop algorithms for computer optimization of entropies. (4) By maximizing entropies, find the most appropriate symbolic language for the purpose of pattern recognition. (5) Test this method using a variety of dynamical models from nonlinear science. The authors are in the process of applying this method for analysis of MHD fluctuations in tokamaks

Latina/o Pre-Service Teachers' Use of Language and Culture while Assisting Children in Mathematics

Science.gov (United States)

Vomvoridi-Ivanovic, Eugenia

2009-01-01

Guided by symbolic interactionism and cultural historical activity theory this study investigated how four bilingual Latina/o pre-service teachers use language (Spanish and English) and culture, defined as social practices, as instructional resources in mathematics. The setting of the study was an after-school bilingual mathematics program, namely…

Numerical and symbolic scientific computing

CERN Document Server

Langer, Ulrich

2011-01-01

The book presents the state of the art and results and also includes articles pointing to future developments. Most of the articles center around the theme of linear partial differential equations. Major aspects are fast solvers in elastoplasticity, symbolic analysis for boundary problems, symbolic treatment of operators, computer algebra, and finite element methods, a symbolic approach to finite difference schemes, cylindrical algebraic decomposition and local Fourier analysis, and white noise analysis for stochastic partial differential equations. Further numerical-symbolic topics range from

22 CFR 42.11 - Classification symbols.

Science.gov (United States)

2010-04-01

... 22 Foreign Relations 1 2010-04-01 2010-04-01 false Classification symbols. 42.11 Section 42.11... NATIONALITY ACT, AS AMENDED Classification and Foreign State Chargeability § 42.11 Classification symbols. A... visa symbol to show the classification of the alien. Immigrants Symbol Class Section of law Immediate...

Symbol synchronization in convolutionally coded systems

Science.gov (United States)

Baumert, L. D.; Mceliece, R. J.; Van Tilborg, H. C. A.

1979-01-01

Alternate symbol inversion is sometimes applied to the output of convolutional encoders to guarantee sufficient richness of symbol transition for the receiver symbol synchronizer. A bound is given for the length of the transition-free symbol stream in such systems, and those convolutional codes are characterized in which arbitrarily long transition free runs occur.

7 CFR 29.1008 - Combination symbols.

Science.gov (United States)

2010-01-01

... 7 Agriculture 2 2010-01-01 2010-01-01 false Combination symbols. 29.1008 Section 29.1008..., 13, 14 and Foreign Type 92) § 29.1008 Combination symbols. A color or group symbol used with another symbol to form the third factor of a grademark to denote a particular side or characteristic of the...

The Analysis of Mythological Symbols in Shahnameh

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موسی پرنیان

2012-05-01

Full Text Available Recognizing symbols of Shahnameh requires an understanding of the context and condition of creation and emergence of symbol, myth and epic. Symbol has a relationship with consciousness and unconsciousness of man and constitutes the language of mythologies, legends, and epics. Thus the language of mythological and epic works is symbolic. The main theme in Iranian mythologies is the dual nature of creation, and during the passage from myth to epic the conflict between the two forces of good and evil appear in various aspects of existence. Some characters that represent symbolic and coded concepts more than other elements can be considered as symbols of the evolution of gods to kings and against them there are devilish kings as symbols of drought (Apush. The other symbolic elements analyzed in this study are: epic-romance stories, imaginary creatures, symbolic dreams of kings and heroes, symbolic numbers, symbolic patterns of flags, the symbolism of water, fire and charisma The findings of the study illustrate that people, more than other elements, are the constitutive elements of mythological symbols, and the tension between these human elements depicts the mutual conflict between good and evil in Ferdowsi’s Shahnameh. Like other elements, symbolic characters (especially kings are of symbolic value and constitute a part of constructing elements of mythological symbols in Shahname. Moreover their reputation is dependent on the extent of their benefit from “God charisma“ as the most pivotal element of their personality. Kings like Afrasiab and Zahak, due to lack of it, are the most disreputable kings. On the other hand, Fereidoon and Kaikhosro are on the top of the most reputable kings because of continuous benefit from that. This study has been conducted on the basis of library resources and has applied a descriptive-analytic method.

Nuclear reactors; graphical symbols

International Nuclear Information System (INIS)

1987-11-01

This standard contains graphical symbols that reveal the type of nuclear reactor and is used to design graphical and technical presentations. Distinguishing features for nuclear reactors are laid down in graphical symbols. (orig.) [de

On the Symbolic Verification of Timed Systems

DEFF Research Database (Denmark)

Moeller, Jesper; Lichtenberg, Jacob; Andersen, Henrik Reif

1999-01-01

This paper describes how to analyze a timed system symbolically. That is, given a symbolic representation of a set of (timed) states (as an expression), we describe how to determine an expression that represents the set of states that can be reached either by firing a discrete transition...... or by advancing time. These operations are used to determine the set of reachable states symbolically. We also show how to symbolically determine the set of states that can reach a given set of states (i.e., a backwards step), thus making it possible to verify TCTL-formulae symbolically. The analysis is fully...... symbolic in the sense that both the discrete and the continuous part of the state space are represented symbolically. Furthermore, both the synchronous and asynchronous concurrent composition of timed systems can be performed symbolically. The symbolic representations are given as formulae expressed...

Symbolic Violence and Victimisation

DEFF Research Database (Denmark)

Pedersen, Bodil Maria

2009-01-01

has been criticised for over-generalisations, as well as for disregarding culture and the embeddedness of psychological problems in situated societal processes. The proposed paper is a contribution to this critique. It will draw on Bourdieu's concept of symbolic violence (1992). The concept connects......Nay (1999). It also undertakes a critical discussion of symbolic violence in the meanings given to victimisation and its aftermaths, as when conceptualised with the help of PTSD (e.g. may the use of concepts of this kind and the practices developed in relation to it constitute symbolic violence...... and contribute to victimisation?) Furthermore the analysis aims at unfolding an understanding of victimisation inclusive of connections between cultural/ societal practices, aspects of symbolic violence and lives of concrete subjects. The discussion takes its point of departure in theoretical deliberations...

An approach to first principles electronic structure calculation by symbolic-numeric computation

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Akihito Kikuchi

2013-04-01

Full Text Available There is a wide variety of electronic structure calculation cooperating with symbolic computation. The main purpose of the latter is to play an auxiliary role (but not without importance to the former. In the field of quantum physics [1-9], researchers sometimes have to handle complicated mathematical expressions, whose derivation seems almost beyond human power. Thus one resorts to the intensive use of computers, namely, symbolic computation [10-16]. Examples of this can be seen in various topics: atomic energy levels, molecular dynamics, molecular energy and spectra, collision and scattering, lattice spin models and so on [16]. How to obtain molecular integrals analytically or how to manipulate complex formulas in many body interactions, is one such problem. In the former, when one uses special atomic basis for a specific purpose, to express the integrals by the combination of already known analytic functions, may sometimes be very difficult. In the latter, one must rearrange a number of creation and annihilation operators in a suitable order and calculate the analytical expectation value. It is usual that a quantitative and massive computation follows a symbolic one; for the convenience of the numerical computation, it is necessary to reduce a complicated analytic expression into a tractable and computable form. This is the main motive for the introduction of the symbolic computation as a forerunner of the numerical one and their collaboration has won considerable successes. The present work should be classified as one such trial. Meanwhile, the use of symbolic computation in the present work is not limited to indirect and auxiliary part to the numerical computation. The present work can be applicable to a direct and quantitative estimation of the electronic structure, skipping conventional computational methods.

The hippocampus facilitates integration within a symbolic field.

Science.gov (United States)

Cornelius, John Thor

2017-10-01

This paper attempts to elaborate a fundamental brain mechanism involved in the creation and maintenance of symbolic fields of thought. It will integrate theories of psychic spaces as explored by Donald Winnicott and Wilfred Bion with the neuroscientific examinations of those with bilateral hippocampal injury to show how evidence from both disciplines sheds important light on this aspect of mind. Possibly originating as a way of maintaining an oriented, first person psychic map, this capacity allows individuals a dynamic narrative access to a realm of layered elements and their connections. If the proposed hypothesis is correct, the hippocampus facilitates the integration of this symbolic field of mind, where narrative forms of thinking, creativity, memory, and dreaming are intertwined. Without the hippocampus, there is an inability to engage many typical forms of thought itself. Also, noting the ways these individuals are not impaired supports theories about other faculties of mind, providing insight into their possible roles within human thought. The evidence of different systems working in conjunction with the symbolic field provides tantalizing clues about these fundamental mechanisms of brain and mind that are normally seamlessly integrated, and hints at future areas of clinical and laboratory research, both within neuroscience and psychoanalysis. © 2017 The Authors. The International Journal of Psychoanalysis published by John Wiley & Sons Ltd on behalf of Institute of Psychoanalysis.

Communicating Mathematics on the Internet: Synchronous and Asynchronous Tools

Science.gov (United States)

Hodges, Charles B.; Hunger, Gail M.

2011-01-01

Communicating and collaborating online are becoming common requirements in education. The specialized notations and symbols necessary for some content areas where mathematical expressions are part of the conversation require that users select appropriate communication tools. The purpose of this article is to describe tools that can be used for…

Analysis of radioactive waste contamination in soils. Part IV: solution via symbolic manipulation

International Nuclear Information System (INIS)

Cotta, R.M.; Mikhailov, M.D.; Ruperti Junior, N.J.

1997-01-01

The goal of this paper is to demonstrate the automatic symbolic-numerical solution of the one-dimensional linearized Burgers equation with linear decay, which models the migration of radionuclides in porous media, by using the generalized integral transform technique and the Mathematic system. An example is considered to allow for comparison between the proposed hybrid numerical-analytical solution and the exact solution. Different filtering strategies are also investigated, in terms of the effects on convergence rates. (author)

Symbol synchronization for the TDRSS decoder

Science.gov (United States)

Costello, D. J., Jr.

1983-01-01

Each 8 bits out of the Viterbi decoder correspond to one symbol of the R/S code. Synchronization must be maintained here so that each 8-bit symbol delivered to the R/S decoder corresponds to an 8-bit symbol from the R/S encoder. Lack of synchronization, would cause an error in almost every R/S symbol since even a - 1-bit sync slip shifts every bit in each 8-bit symbol by one position, therby confusing the mapping betweeen 8-bit sequences and symbols. The error correcting capability of the R/S code would be exceeded. Possible ways to correcting this condition include: (1) designing the R/S decoder to recognize the overload and shifting the output sequence of the inner decoder to establish a different sync state; (2) using the characteristics of the inner decoder to establish symbol synchronization for the outer code, with or without a deinterleaver and an interleaver; and (3) modifying the encoder to alternate periodically between two sets of generators.

Deficient symbol processing in Alzheimer disease.

Science.gov (United States)

Toepper, Max; Steuwe, Carolin; Beblo, Thomas; Bauer, Eva; Boedeker, Sebastian; Thomas, Christine; Markowitsch, Hans J; Driessen, Martin; Sammer, Gebhard

2014-01-01

Symbols and signs have been suggested to improve the orientation of patients suffering from Alzheimer disease (AD). However, there are hardly any studies that confirm whether AD patients benefit from signs or symbols and which symbol characteristics might improve or impede their symbol comprehension. To address these issues, 30 AD patients and 30 matched healthy controls performed a symbol processing task (SPT) with 4 different item categories. A repeated-measures analysis of variance was run to identify impact of different item categories on performance accuracy in both the experimental groups. Moreover, SPT scores were correlated with neuropsychological test scores in a broad range of other cognitive domains. Finally, diagnostic accuracy of the SPT was calculated by a receiver-operating characteristic curve analysis. Results revealed a global symbol processing dysfunction in AD that was associated with semantic memory and executive deficits. Moreover, AD patients showed a disproportional performance decline at SPT items with visual distraction. Finally, the SPT total score showed high sensitivity and specificity in differentiating between AD patients and healthy controls. The present findings suggest that specific symbol features impede symbol processing in AD and argue for a diagnostic benefit of the SPT in neuropsychological assessment.

Sound Symbolism in Basic Vocabulary

Directory of Open Access Journals (Sweden)

Søren Wichmann

2010-04-01

Full Text Available The relationship between meanings of words and their sound shapes is to a large extent arbitrary, but it is well known that languages exhibit sound symbolism effects violating arbitrariness. Evidence for sound symbolism is typically anecdotal, however. Here we present a systematic approach. Using a selection of basic vocabulary in nearly one half of the world’s languages we find commonalities among sound shapes for words referring to same concepts. These are interpreted as due to sound symbolism. Studying the effects of sound symbolism cross-linguistically is of key importance for the understanding of language evolution.

The symbolism of zombie

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Nadine BOUDOU

2015-07-01

Full Text Available The objective of this article is to show why the zombie can be presented as a justifiable object of search for the symbolic communication. The zombie exists as symbol because the word the leading to a qualification became of current usage, what allows a widened communication. The diversity of the interpretations that he makes possible testifies of its ambivalence. That he is defined as a symbol or as a metaphor we shall see that, far from being that a lasted fad, the zombie is rich in different senses.

The use of symbolic computation in radiative, energy, and neutron transport calculations

Science.gov (United States)

Frankel, J. I.

This investigation uses symbolic computation in developing analytical methods and general computational strategies for solving both linear and nonlinear, regular and singular, integral and integro-differential equations which appear in radiative and combined mode energy transport. This technical report summarizes the research conducted during the first nine months of the present investigation. The use of Chebyshev polynomials augmented with symbolic computation has clearly been demonstrated in problems involving radiative (or neutron) transport, and mixed-mode energy transport. Theoretical issues related to convergence, errors, and accuracy have also been pursued. Three manuscripts have resulted from the funded research. These manuscripts have been submitted to archival journals. At the present time, an investigation involving a conductive and radiative medium is underway. The mathematical formulation leads to a system of nonlinear, weakly-singular integral equations involving the unknown temperature and various Legendre moments of the radiative intensity in a participating medium. Some preliminary results are presented illustrating the direction of the proposed research.

[Rod of Asclepius. Symbol of medicine].

Science.gov (United States)

Young, Pablo; Finn, Bárbara C; Bruetman, Julio E; Cesaro Gelos, Jorge; Trimarchi, Hernán

2013-09-01

Symbolism is one of the most archaic forms of human thoughts. Symbol derives from the Latin word symbolum, and the latter from the Greek symbolon or symballo, which means "I coincide, I make matches". The Medicine symbol represents a whole series of historical and ethical values. Asclepius Rod with one serpent entwined, has traditionally been the symbol of scientific medicine. In a misconception that has lasted 500 years, the Caduceus of Hermes, entwined by two serpents and with two wings, has been considered the symbol of Medicine. However, the Caduceus is the current symbol of Commerce. Asclepius Rod and the Caduceus of Hermes represent two professions, Medicine and Commerce that, in ethical practice, should not be mixed. Physicians should be aware of their real emblem, its historical origin and meaning.

Narrowing the Early Mathematics Gap: A Play-Based Intervention to Promote Low-Income Preschoolers’ Number Skills

Directory of Open Access Journals (Sweden)

Nicole R. Scalise

2018-01-01

Full Text Available Preschoolers from low-income households lag behind preschoolers from middle-income households on numerical skills that underlie later mathematics achievement. However, it is unknown whether these gaps exist on parallel measures of symbolic and non-symbolic numerical skills. Experiment 1 indicated preschoolers from low-income backgrounds were less accurate than peers from middle-income backgrounds on a measure of symbolic magnitude comparison, but they performed equivalently on a measure of non-symbolic magnitude comparison. This suggests activities linking non-symbolic and symbolic number representations may be used to support children’s numerical knowledge. Experiment 2 randomly assigned low-income preschoolers (Mean Age = 4.7 years to play either a numerical magnitude comparison or a numerical matching card game across four 15 min sessions over a 3-week period. The magnitude comparison card game led to significant improvements in participants’ symbolic magnitude comparison skills in an immediate posttest assessment. Following the intervention, low-income participants performed equivalently to an age- and gender-matched sample of middle-income preschoolers in symbolic magnitude comparison. These results suggest a brief intervention that combines non-symbolic and symbolic magnitude representations can support low-income preschoolers’ early numerical knowledge.

Symbolic Computations and Exact and Explicit Solutions of Some Nonlinear Evolution Equations in Mathematical Physics

International Nuclear Information System (INIS)

Oezis, Turgut; Aslan, Imail

2009-01-01

With the aid of symbolic computation system Mathematica, several explicit solutions for Fisher's equation and CKdV equation are constructed by utilizing an auxiliary equation method, the so called G'/G-expansion method, where the new and more general forms of solutions are also constructed. When the parameters are taken as special values, the previously known solutions are recovered. (general)

Leaching of saltstone: Laboratory and field testing and mathematical modeling

International Nuclear Information System (INIS)

Grant, M.W.; Langton, C.A.; Oblath, S.B.; Pepper, D.W.; Wallace, R.M.; Wilhite, E.L.; Yau, W.W.F.

1987-01-01

A low-level alkaline salt solution will be a byproduct in the processing of high-level waste at the Savannah River Plant (SRP). This solution will be incorporated into a wasteform, saltstone, and disposed of in surface vaults. Laboratory and field leach testing and mathematical modeling have demonstrated the predictability of contaminant release from cement wasteforms. Saltstone disposal in surface vaults will meet the design objective, which is to meet drinking water standards in shallow groundwater at the disposal area boundary. Diffusion is the predominant mechanism for release of contaminants to the environment. Leach testing in unsaturated soil, at soil moisture levels above 1 wt %, has shown no difference in leach rate compared to leaching in distilled water. Field leach testing of three thirty-ton blocks of saltstone in lysimeters has been underway since January 1984. Mathematical models were applied to assess design features for saltstone disposal. One dimensional infinite-composite and semi-infinite analytical models were developed for assessing diffusion of nitrate from saltstone through a cement barrier. Numerical models, both finite element and finite difference, were validated by comparison of model predictions with the saltstone lysimeter results. Validated models were used to assess the long-term performance of the saltstone stored in surface vaults. The maximum concentrations of all contaminants released from saltstone to shallow groundwater are predicted to be below drinking water standards at the disposal area boundary. 5 refs., 11 figs., 5 tabs

An FMRI-compatible Symbol Search task.

Science.gov (United States)

Liebel, Spencer W; Clark, Uraina S; Xu, Xiaomeng; Riskin-Jones, Hannah H; Hawkshead, Brittany E; Schwarz, Nicolette F; Labbe, Donald; Jerskey, Beth A; Sweet, Lawrence H

2015-03-01

Our objective was to determine whether a Symbol Search paradigm developed for functional magnetic resonance imaging (FMRI) is a reliable and valid measure of cognitive processing speed (CPS) in healthy older adults. As all older adults are expected to experience cognitive declines due to aging, and CPS is one of the domains most affected by age, establishing a reliable and valid measure of CPS that can be administered inside an MR scanner may prove invaluable in future clinical and research settings. We evaluated the reliability and construct validity of a newly developed FMRI Symbol Search task by comparing participants' performance in and outside of the scanner and to the widely used and standardized Symbol Search subtest of the Wechsler Adult Intelligence Scale (WAIS). A brief battery of neuropsychological measures was also administered to assess the convergent and discriminant validity of the FMRI Symbol Search task. The FMRI Symbol Search task demonstrated high test-retest reliability when compared to performance on the same task administered out of the scanner (r=.791; pSymbol Search (r=.717; pSymbol Search task were also observed. The FMRI Symbol Search task is a reliable and valid measure of CPS in healthy older adults and exhibits expected sensitivity to the effects of age on CPS performance.

Analysis of radioactive waste contamination in soils. Part IV: solution via symbolic manipulation

Energy Technology Data Exchange (ETDEWEB)

Cotta, R.M.; Mikhailov, M.D. [Universidade Federal, Rio de Janeiro, RJ (Brazil). Coordenacao dos Programas de Pos-graduacao de Engenharia. Lab. de Transmissao e Tecnologia do Calor; Ruperti Junior, N.J. [Comissao Nacional de Energia Nuclear (CNEN), Rio de Janeiro, RJ (Brazil). Coordenacao de Rejeitos Radioativos

1997-12-31

The goal of this paper is to demonstrate the automatic symbolic-numerical solution of the one-dimensional linearized Burgers equation with linear decay, which models the migration of radionuclides in porous media, by using the generalized integral transform technique and the Mathematic system. An example is considered to allow for comparison between the proposed hybrid numerical-analytical solution and the exact solution. Different filtering strategies are also investigated, in terms of the effects on convergence rates. (author) 6 refs., 7 figs., 7 tabs.

Multiple symbol differential detection

Science.gov (United States)

Divsalar, Dariush (Inventor); Simon, Marvin K. (Inventor)

1991-01-01

A differential detection technique for multiple phase shift keying (MPSK) signals is provided which uses a multiple symbol observation interval on the basis of which a joint decision is made regarding the phase of the received symbols. In accordance with the invention, a first difference phase is created between first and second received symbols. Next, the first difference phase is correlated with the possible values thereof to provide a first plurality of intermediate output signals. A second difference phase is next created between second and third received symbols. The second difference phase is correlated with plural possible values thereof to provide a second plurality of intermediate output signals. Next, a third difference phase is created between the first and third symbols. The third difference phase is correlated with plural possible values thereof to provide a third plurality of intermediate output signals. Each of the first plurality of intermediate outputs are combined with each of the second plurality of intermediate outputs and each of the third plurality of intermediate outputs to provide a plurality of possible output values. Finally, a joint decision is made by choosing from the plurality of possible output values the value which represents the best combined correlation of the first, second and third difference values with the possible values thereof.

Introduction to mathematical systems theory a behavioral approach

CERN Document Server

Polderman, Jan Willem

1998-01-01

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modem as well as the classical techniques of applied mathematics. This renewal of interest,both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The developmentof new courses is a natural consequenceof a high level of excite­ ment on the research frontier as newer techniques, such as numerical and symbolic computersystems,dynamicalsystems,and chaos, mix with and reinforce the tradi­ tional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbookssuitable for use in advancedundergraduate and begin­ ning graduate courses, and will complement the Applied Mathematical Seiences (AMS) series, which will focus on advanced tex...

Laboratories for Teaching of Mathematical Subjects

Science.gov (United States)

Berežný, Štefan

2017-01-01

We have adapted our two laboratories at our department based on our research results, which were presented at the conference CADGME 2014 in Halle and published in the journal. In this article we describe the hardware and software structure of the Laboratory 1: LabIT4KT-1: Laboratory of Computer Modelling and the Laboratory 2: LabIT4KT-2:…

Statistical Symbolic Execution with Informed Sampling

Science.gov (United States)

Filieri, Antonio; Pasareanu, Corina S.; Visser, Willem; Geldenhuys, Jaco

2014-01-01

Symbolic execution techniques have been proposed recently for the probabilistic analysis of programs. These techniques seek to quantify the likelihood of reaching program events of interest, e.g., assert violations. They have many promising applications but have scalability issues due to high computational demand. To address this challenge, we propose a statistical symbolic execution technique that performs Monte Carlo sampling of the symbolic program paths and uses the obtained information for Bayesian estimation and hypothesis testing with respect to the probability of reaching the target events. To speed up the convergence of the statistical analysis, we propose Informed Sampling, an iterative symbolic execution that first explores the paths that have high statistical significance, prunes them from the state space and guides the execution towards less likely paths. The technique combines Bayesian estimation with a partial exact analysis for the pruned paths leading to provably improved convergence of the statistical analysis. We have implemented statistical symbolic execution with in- formed sampling in the Symbolic PathFinder tool. We show experimentally that the informed sampling obtains more precise results and converges faster than a purely statistical analysis and may also be more efficient than an exact symbolic analysis. When the latter does not terminate symbolic execution with informed sampling can give meaningful results under the same time and memory limits.

Iconicity can ground the creation of vocal symbols.

Science.gov (United States)

Perlman, Marcus; Dale, Rick; Lupyan, Gary

2015-08-01

Studies of gestural communication systems find that they originate from spontaneously created iconic gestures. Yet, we know little about how people create vocal communication systems, and many have suggested that vocalizations do not afford iconicity beyond trivial instances of onomatopoeia. It is unknown whether people can generate vocal communication systems through a process of iconic creation similar to gestural systems. Here, we examine the creation and development of a rudimentary vocal symbol system in a laboratory setting. Pairs of participants generated novel vocalizations for 18 different meanings in an iterative 'vocal' charades communication game. The communicators quickly converged on stable vocalizations, and naive listeners could correctly infer their meanings in subsequent playback experiments. People's ability to guess the meanings of these novel vocalizations was predicted by how close the vocalization was to an iconic 'meaning template' we derived from the production data. These results strongly suggest that the meaningfulness of these vocalizations derived from iconicity. Our findings illuminate a mechanism by which iconicity can ground the creation of vocal symbols, analogous to the function of iconicity in gestural communication systems.

Early numerical foundations of young children's mathematical development.

Science.gov (United States)

Chu, Felicia W; vanMarle, Kristy; Geary, David C

2015-04-01

This study focused on the relative contributions of the acuity of the approximate number system (ANS) and knowledge of quantitative symbols to young children's early mathematical learning. At the beginning of preschool, 191 children (Mage=46 months) were administered tasks that assessed ANS acuity and explicit knowledge of the cardinal values represented by number words, and their mathematics achievement was assessed at the end of the school year. Children's executive functions, intelligence, and preliteracy skills and their parents' educational levels were also assessed and served as covariates. Both the ANS and cardinality tasks were significant predictors of end-of-year mathematics achievement with and without control of the covariates. As simultaneous predictors and with control of the covariates, cardinality remained significantly related to mathematics achievement, but ANS acuity did not. Mediation analyses revealed that the relation between ANS acuity and mathematics achievement was fully mediated by cardinality, suggesting that the ANS may facilitate children's explicit understanding of cardinal value and in this way may indirectly influence early mathematical learning. Copyright © 2015 Elsevier Inc. All rights reserved.

36 CFR 264.11 - Use of symbol.

Science.gov (United States)

2010-07-01

... 36 Parks, Forests, and Public Property 2 2010-07-01 2010-07-01 false Use of symbol. 264.11 Section... MANAGEMENT Mount St. Helens National Volcanic Monument Symbol § 264.11 Use of symbol. Except as provided in § 264.12, use of the Mount St. Helens National Volcanic Monument official symbol, including a facsimile...

The relationship between mathematics and language: academic implications for children with specific language impairment and English language learners.

Science.gov (United States)

Alt, Mary; Arizmendi, Genesis D; Beal, Carole R

2014-07-01

The present study examined the relationship between mathematics and language to better understand the nature of the deficit and the academic implications associated with specific language impairment (SLI) and academic implications for English language learners (ELLs). School-age children (N = 61; 20 SLI, 20 ELL, 21 native monolingual English [NE]) were assessed using a norm-referenced mathematics instrument and 3 experimental computer-based mathematics games that varied in language demands. Group means were compared with analyses of variance. The ELL group was less accurate than the NE group only when tasks were language heavy. In contrast, the group with SLI was less accurate than the groups with NE and ELLs on language-heavy tasks and some language-light tasks. Specifically, the group with SLI was less accurate on tasks that involved comparing numerical symbols and using visual working memory for patterns. However, there were no group differences between children with SLI and peers without SLI on language-light mathematics tasks that involved visual working memory for numerical symbols. Mathematical difficulties of children who are ELLs appear to be related to the language demands of mathematics tasks. In contrast, children with SLI appear to have difficulty with mathematics tasks because of linguistic as well as nonlinguistic processing constraints.

Three Alternative Symbol-Lock Detectors

Science.gov (United States)

Shihabi, Mazen M.; Hinedi, Sami M.; Shah, Biren N.

1993-01-01

Three symbol-lock detectors proposed as alternatives in advanced receivers processing non-return-to-zero binary data signals. Two perform operations similar to those of older square-law and absolute-value types. However, integrals computed during nonoverlapping symbol periods and, therefore, only one integrator needed in each such detector. Proposed detectors simpler, but performances worse because noises in overlapping samples correlated, whereas noises in nonoverlapping samples not correlated. Third detector is signal-power-estimator type. Signal integrated during successive half symbol cycles, and therefore only one integrator needed. Half-cycle integrals multiplied to eliminate effect of symbol polarity, and products accumulated during M-cycle observation period to smooth out estimate of signal power. If estimated signal power exceeds threshold, delta, then lock declared.

Applications of symbolic algebraic computation

International Nuclear Information System (INIS)

Brown, W.S.; Hearn, A.C.

1979-01-01

This paper is a survey of applications of systems for symbomic algebraic computation. In most successful applications, calculations that can be taken to a given order by hand are then extended one or two more orders by computer. Furthermore, with a few notable exceptins, these applications also involve numerical computation in some way. Therefore the authors emphasize the interface between symbolic and numerical computation, including: 1. Computations with both symbolic and numerical phases. 2. Data involving both the unpredictible size and shape that typify symbolic computation and the (usually inexact) numerical values that characterize numerical computation. 3. Applications of one field to the other. It is concluded that the fields of symbolic and numerical computation can advance most fruitfully in harmony rather than in competition. (Auth.)

Computational Laboratory

Data.gov (United States)

Federal Laboratory Consortium — This laboratory contains a number of commercial off-the-shelf and in-house software packages allowing for both statistical analysis as well as mathematical modeling...

Application of symbolic computations to the constitutive modeling of structural materials

Science.gov (United States)

Arnold, Steven M.; Tan, H. Q.; Dong, X.

1990-01-01

In applications involving elevated temperatures, the derivation of mathematical expressions (constitutive equations) describing the material behavior can be quite time consuming, involved and error-prone. Therefore intelligent application of symbolic systems to faciliate this tedious process can be of significant benefit. Presented here is a problem oriented, self contained symbolic expert system, named SDICE, which is capable of efficiently deriving potential based constitutive models in analytical form. This package, running under DOE MACSYMA, has the following features: (1) potential differentiation (chain rule), (2) tensor computations (utilizing index notation) including both algebraic and calculus; (3) efficient solution of sparse systems of equations; (4) automatic expression substitution and simplification; (5) back substitution of invariant and tensorial relations; (6) the ability to form the Jacobian and Hessian matrix; and (7) a relational data base. Limited aspects of invariant theory were also incorporated into SDICE due to the utilization of potentials as a starting point and the desire for these potentials to be frame invariant (objective). The uniqueness of SDICE resides in its ability to manipulate expressions in a general yet pre-defined order and simplify expressions so as to limit expression growth. Results are displayed, when applicable, utilizing index notation. SDICE was designed to aid and complement the human constitutive model developer. A number of examples are utilized to illustrate the various features contained within SDICE. It is expected that this symbolic package can and will provide a significant incentive to the development of new constitutive theories.

The effects of user factors and symbol referents on public symbol design using the stereotype production method.

Science.gov (United States)

Ng, Annie W Y; Siu, Kin Wai Michael; Chan, Chetwyn C H

2012-01-01

This study investigated the influence of user factors and symbol referents on public symbol design among older people, using the stereotype production method for collecting user ideas during the symbol design process. Thirty-one older adults were asked to draw images based on 28 public symbol referents and to indicate their familiarity with and ease with which they visualised each referent. Differences were found between the pictorial solutions generated by males and females. However, symbol design was not influenced by participants' education level, vividness of visual imagery, object imagery preference or spatial imagery preference. Both familiar and unfamiliar referents were illustrated pictorially without much difficulty by users. The more visual the referent, the less difficulty the users had in illustrating it. The findings of this study should aid the optimisation of the stereotype production method for user-involved symbol design. Copyright © 2011 Elsevier Ltd and The Ergonomics Society. All rights reserved.

7 CFR 29.3012 - Color symbols.

Science.gov (United States)

2010-01-01

... 7 Agriculture 2 2010-01-01 2010-01-01 false Color symbols. 29.3012 Section 29.3012 Agriculture Regulations of the Department of Agriculture AGRICULTURAL MARKETING SERVICE (Standards, Inspections, Marketing... Color symbols. As applied to Burley, single color symbols are as follows: L—buff, F—tan, R—red, D—dark...

7 CFR 29.1066 - Symbol (S).

Science.gov (United States)

2010-01-01

... 7 Agriculture 2 2010-01-01 2010-01-01 false Symbol (S). 29.1066 Section 29.1066 Agriculture Regulations of the Department of Agriculture AGRICULTURAL MARKETING SERVICE (Standards, Inspections, Marketing... Type 92) § 29.1066 Symbol (S). As applied to Flue-cured tobacco the symbol (S) when used (a) as the...

7 CFR 29.3510 - Color symbols.

Science.gov (United States)

2010-01-01

... 7 Agriculture 2 2010-01-01 2010-01-01 false Color symbols. 29.3510 Section 29.3510 Agriculture Regulations of the Department of Agriculture AGRICULTURAL MARKETING SERVICE (Standards, Inspections, Marketing... Type 95) § 29.3510 Color symbols. As applied to Dark Air-cured tobacco, color symbols are L—light brown...

7 CFR 29.2259 - Color symbols.

Science.gov (United States)

2010-01-01

... 7 Agriculture 2 2010-01-01 2010-01-01 false Color symbols. 29.2259 Section 29.2259 Agriculture Regulations of the Department of Agriculture AGRICULTURAL MARKETING SERVICE (Standards, Inspections, Marketing... symbols. As applied to this type, color symbols are: L—light brown, F—medium brown, D—dark brown, M—mixed...

7 CFR 29.1007 - Color symbols.

Science.gov (United States)

2010-01-01

... 7 Agriculture 2 2010-01-01 2010-01-01 false Color symbols. 29.1007 Section 29.1007 Agriculture Regulations of the Department of Agriculture AGRICULTURAL MARKETING SERVICE (Standards, Inspections, Marketing... Type 92) § 29.1007 Color symbols. As applied to flue-cured tobacco, color symbols are L—lemon, F—orange...

Data science and symbolic AI: Synergies, challenges and opportunities

KAUST Repository

Hoehndorf, Robert

2017-06-02

Symbolic approaches to artificial intelligence represent things within a domain of knowledge through physical symbols, combine symbols into symbol expressions, and manipulate symbols and symbol expressions through inference processes. While a large part of Data Science relies on statistics and applies statistical approaches to artificial intelligence, there is an increasing potential for successfully applying symbolic approaches as well. Symbolic representations and symbolic inference are close to human cognitive representations and therefore comprehensible and interpretable; they are widely used to represent data and metadata, and their specific semantic content must be taken into account for analysis of such information; and human communication largely relies on symbols, making symbolic representations a crucial part in the analysis of natural language. Here we discuss the role symbolic representations and inference can play in Data Science, highlight the research challenges from the perspective of the data scientist, and argue that symbolic methods should become a crucial component of the data scientists’ toolbox.

Data science and symbolic AI: Synergies, challenges and opportunities

KAUST Repository

Hoehndorf, Robert; Queralt-Rosinach, Nú ria

2017-01-01

Symbolic approaches to artificial intelligence represent things within a domain of knowledge through physical symbols, combine symbols into symbol expressions, and manipulate symbols and symbol expressions through inference processes. While a large part of Data Science relies on statistics and applies statistical approaches to artificial intelligence, there is an increasing potential for successfully applying symbolic approaches as well. Symbolic representations and symbolic inference are close to human cognitive representations and therefore comprehensible and interpretable; they are widely used to represent data and metadata, and their specific semantic content must be taken into account for analysis of such information; and human communication largely relies on symbols, making symbolic representations a crucial part in the analysis of natural language. Here we discuss the role symbolic representations and inference can play in Data Science, highlight the research challenges from the perspective of the data scientist, and argue that symbolic methods should become a crucial component of the data scientists’ toolbox.

Number sense in infancy predicts mathematical abilities in childhood.

Science.gov (United States)

Starr, Ariel; Libertus, Melissa E; Brannon, Elizabeth M

2013-11-05

Human infants in the first year of life possess an intuitive sense of number. This preverbal number sense may serve as a developmental building block for the uniquely human capacity for mathematics. In support of this idea, several studies have demonstrated that nonverbal number sense is correlated with mathematical abilities in children and adults. However, there has been no direct evidence that infant numerical abilities are related to mathematical abilities later in childhood. Here, we provide evidence that preverbal number sense in infancy predicts mathematical abilities in preschool-aged children. Numerical preference scores at 6 months of age correlated with both standardized math test scores and nonsymbolic number comparison scores at 3.5 years of age, suggesting that preverbal number sense facilitates the acquisition of numerical symbols and mathematical abilities. This relationship held even after controlling for general intelligence, indicating that preverbal number sense imparts a unique contribution to mathematical ability. These results validate the many prior studies purporting to show number sense in infancy and support the hypothesis that mathematics is built upon an intuitive sense of number that predates language.

The 1989 progress report: Applied Mathematics

International Nuclear Information System (INIS)

Nedelec, J.C.

1989-01-01

The 1989 progress report of the laboratory of Applied Mathematics of the Polytechnic School (France) is presented. The investigations reported were performed in the following fields: mathematical and numerical aspects of wave propagation, nonlinear hyperbolic fluid mechanics, numerical simulations and mathematical aspects of semiconductors and electron beams, mechanics of solids, plasticity, viscoelasticity, stochastic, automatic and statistic calculations, synthesis and image processing. The published papers, the conferences and the Laboratory staff are listed [fr

Sound-Symbolism Boosts Novel Word Learning

Science.gov (United States)

Lockwood, Gwilym; Dingemanse, Mark; Hagoort, Peter

2016-01-01

The existence of sound-symbolism (or a non-arbitrary link between form and meaning) is well-attested. However, sound-symbolism has mostly been investigated with nonwords in forced choice tasks, neither of which are representative of natural language. This study uses ideophones, which are naturally occurring sound-symbolic words that depict sensory…

Symbol-String Sensitivity and Children's Reading

Science.gov (United States)

Pammer, Kristen; Lavis, Ruth; Hansen, Peter; Cornelissen, Piers L.

2004-01-01

In this study of primary school children, a novel "symbol-string" task is used to assess sensitivity to the position of briefly presented non-alphabetic but letter-like symbols. The results demonstrate that sensitivity in the symbol-string task explains a unique proportion of the variability in children's contextual reading accuracy. Moreover,…

Performance of the split-symbol moments SNR estimator in the presence of inter-symbol interference

Science.gov (United States)

Shah, B.; Hinedi, S.

1989-01-01

The Split-Symbol Moments Estimator (SSME) is an algorithm that is designed to estimate symbol signal-to-noise ratio (SNR) in the presence of additive white Gaussian noise (AWGN). The performance of the SSME algorithm in band-limited channels is examined. The effects of the resulting inter-symbol interference (ISI) are quantified. All results obtained are in closed form and can be easily evaluated numerically for performance prediction purposes. Furthermore, they are validated through digital simulations.

Symbol recognition with kernel density matching.

Science.gov (United States)

Zhang, Wan; Wenyin, Liu; Zhang, Kun

2006-12-01

We propose a novel approach to similarity assessment for graphic symbols. Symbols are represented as 2D kernel densities and their similarity is measured by the Kullback-Leibler divergence. Symbol orientation is found by gradient-based angle searching or independent component analysis. Experimental results show the outstanding performance of this approach in various situations.

The interrelationships of mathematical precursors in kindergarten.

Science.gov (United States)

Cirino, Paul T

2011-04-01

This study evaluated the interrelations among cognitive precursors across quantitative, linguistic, and spatial attention domains that have been implicated for math achievement in young children. The dimensionality of the quantity precursors was evaluated in 286 kindergarteners via latent variable techniques, and the contribution of precursors from each domain was established for small sums addition. Results showed a five-factor structure for the quantity precursors, with the major distinction being between nonsymbolic and symbolic tasks. The overall model demonstrated good fit and strong predictive power (R(2)=55%) for addition number combinations. Linguistic and spatial attention domains showed indirect relationships with outcomes, with their effects mediated by symbolic quantity measures. These results have implications for the measurement of mathematical precursors and yield promise for predicting future math performance. Copyright © 2010 Elsevier Inc. All rights reserved.

7 CFR 29.2509 - Color symbols.

Science.gov (United States)

2010-01-01

... 7 Agriculture 2 2010-01-01 2010-01-01 false Color symbols. 29.2509 Section 29.2509 Agriculture...-Cured Tobacco (u.s. Types 22, 23, and Foreign Type 96) § 29.2509 Color symbols. As applied to these types, color symbols are L—light brown, F—medium brown, D—dark brown, M—mixed or variegated VF—greenish...

Mathematization in introductory physics

Science.gov (United States)

Brahmia, Suzanne M.

Mathematization is central to STEM disciplines as a cornerstone of the quantitative reasoning that characterizes these fields. Introductory physics is required for most STEM majors in part so that students develop expert-like mathematization. This dissertation describes coordinated research and curriculum development for strengthening mathematization in introductory physics; it blends scholarship in physics and mathematics education in the form of three papers. The first paper explores mathematization in the context of physics, and makes an original contribution to the measurement of physics students' struggle to mathematize. Instructors naturally assume students have a conceptual mastery of algebra before embarking on a college physics course because these students are enrolled in math courses beyond algebra. This paper provides evidence that refutes the validity of this assumption and categorizes some of the barriers students commonly encounter with quantification and representing ideas symbolically. The second paper develops a model of instruction that can help students progress from their starting points to their instructor's desired endpoints. Instructors recognize that the introductory physics course introduces new ideas at an astonishing rate. More than most physicists realize, however, the way that mathematics is used in the course is foreign to a large portion of class. This paper puts forth an instructional model that can move all students toward better quantitative and physical reasoning, despite the substantial variability of those students' initial states. The third paper describes the design and testing of curricular materials that foster mathematical creativity to prepare students to better understand physics reasoning. Few students enter introductory physics with experience generating equations in response to specific challenges involving unfamiliar quantities and units, yet this generative use of mathematics is typical of the thinking involved in

Social Symbolic Work in Context

DEFF Research Database (Denmark)

Brincker, Benedikte

‘the good organisation’ may offer a supportive organisational framework for social symbolic work, thus promoting regional development in peripheral and poorly developed regions. Exploring what qualifies as a ‘good organisation’, the paper identifies three key elements: management, motivation......This paper reports on a research project that explores social symbolic work. The social symbolic work in question seeks to introduce education in entrepreneurship into the school curriculum in a remote part of Greenland – in order to contribute to regional development. The paper investigates how...

Multimodal Languaging as a Pedagogical Model--A Case Study of the Concept of Division in School Mathematics

Science.gov (United States)

Joutsenlahti, Jorma; Kulju, Pirjo

2017-01-01

The purpose of this study is to present a multimodal languaging model for mathematics education. The model consists of mathematical symbolic language, a pictorial language, and a natural language. By applying this model, the objective was to study how 4th grade pupils (N = 21) understand the concept of division. The data was collected over six…

Using Symbolic TI Calculators in Engineering Mathematics: Sample Tasks and Reflections from a Decade of Practice

Science.gov (United States)

Beaudin, Michel; Picard, Gilles

2010-01-01

Starting in September 1999, new students at ETS were required to own the TI-92 Plus or TI-89 symbolic calculator and since September 2002, the Voyage 200. Looking back at these ten years of working with a computer algebra system on every student's desk, one could ask whether the introduction of this hand-held technology has really forced teachers…

The rhetoric of disenchantment through symbolism

Directory of Open Access Journals (Sweden)

Théophile Munyangeyo

2012-10-01

Full Text Available The symbolism of flowers has always been a significant part of cultures around the world due to their functional meaning in daily life. From their decorative to their aromatic role, flowers and their symbolic meaning trigger emotions, convey wishes and represent thoughts that can not be explicitly expressed. In this regard, an elaborate language based on flower symbolism was developed in many societies, to convey clear messages to the recipient. However, in some cultural contexts, although the flower symbolism has social connotations, it is mainly associated with economic references. As flowers are an essential precursor to fruits, they are inevitably a source of expectations and hence foster a set of hopes and dreams, which can ultimately lead to excitement or disappointment.Through a discourse analysis based on factional narratives, this article explores the parameters through which the symbolism of bifaceted meaning of flowers fictionalises a space that refers to the social reality. This association between the fictional world and social reference has highlighted that writing can profoundly be a means of representing social events through the rhetoric of symbolism. Through a sociological reading approach, this paper aims to analyse how the symbolism of flowers informs the rhetoric of disenchantment that can foster a content-based pedagogy in language learning where silencing practices engender imagery to exercise the freedom of expression.

Symbols of a cosmic order

Science.gov (United States)

Madjid, F. Hadi; Myers, John M.

2016-10-01

The world runs on networks over which signals communicate sequences of symbols, e.g. numerals. Examining both engineered and natural communications networks reveals an unsuspected order that depends on contact with an unpredictable entity. This order has three roots. The first is a proof within quantum theory that no evidence can ever determine its explanation, so that an agent choosing an explanation must do so unpredictably. The second root is the showing that clocks that step computers do not "tell time" but serve as self-adjusting symbol-handling agents that regulate "logically synchronized" motion in response to unpredictable disturbances. Such a clock-agent has a certain independence as well as the capacity to communicate via unpredictable symbols with other clock-agents and to adjust its own tick rate in response to that communication. The third root is the noticing of unpredictable symbol exchange in natural systems, including the transmission of symbols found in molecular biology. We introduce a symbol-handling agent as a role played in some cases by a person, for example a physicist who chooses an explanation of given experimental outcomes, and in other cases by some other biological entity, and in still other cases by an inanimate device, such as a computer-based detector used in physical measurements. While we forbear to try to explain the propensity of agents at all levels from cells to civilizations to form and operate networks of logically synchronized symbol-handling agents, we point to this propensity as an overlooked cosmic order, an order structured by the unpredictability ensuing from the proof. Appreciating the cosmic order leads to a conception of agency that replaces volition by unpredictability and reconceives the notion of objectivity in a way that makes a place for agency in the world as described by physics. Some specific implications for physics are outlined.

Two cultures - one symbol

Directory of Open Access Journals (Sweden)

O. G. Shostak

2003-06-01

Full Text Available This paper is dedicated to the question of similarities in the approach to the multilevel symbolism in Slav and Native American cultures. Ambivalent symbol of the snake is analyzed in the frame of mythological thinking. At the end the author comes to the conclusion that elements of mythological thinking are still present in everyday life and influence human behavior levels

Mathematical Formula Search using Natural Language Queries

Directory of Open Access Journals (Sweden)

YANG, S.

2014-11-01

Full Text Available This paper presents how to search mathematical formulae written in MathML when given plain words as a query. Since the proposed method allows natural language queries like the traditional Information Retrieval for the mathematical formula search, users do not need to enter any complicated math symbols and to use any formula input tool. For this, formula data is converted into plain texts, and features are extracted from the converted texts. In our experiments, we achieve an outstanding performance, a MRR of 0.659. In addition, we introduce how to utilize formula classification for formula search. By using class information, we finally achieve an improved performance, a MRR of 0.690.

A Cognitive Analysis of Students’ Mathematical Communication Ability on Geometry

Science.gov (United States)

Sari, D. S.; Kusnandi, K.; Suhendra, S.

2017-09-01

This study aims to analyze the difficulties of mathematical communication ability of students in one of secondary school on “three-dimensional space” topic. This research conducted by using quantitative approach with descriptive method. The population in this research was all students of that school and the sample was thirty students that was chosen by purposive sampling technique. Data of mathematical communication were collected through essay test. Furthermore, the data were analyzed with a descriptive way. The results of this study indicate that the percentage of achievement of student mathematical communication indicators as follows 1) Stating a situation, ideas, and mathematic correlation into images, graphics, or algebraic expressions is 35%; 2) Stating daily experience into a mathematic language / symbol, or a mathematic model is 35%; and 3) Associating images or diagrams into mathematical ideas is 53.3%. Based on the percentage of achievement on each indicator, it can be concluded that the level of achievement of students’ mathematical communication ability is still low. It can be caused the students were not used to convey or write their mathematical ideas systematically. Therefore students’ mathematical communication ability need to be improved.

Trauma and Symbolic Violence

DEFF Research Database (Denmark)

Pedersen, Bodil Maria

2011-01-01

- to praxis, and drawing on the concept of symbolic violence, this article contributes to their critique. In order to develop the analysis of difficulties victims may experience, they will be reconceptualised using critical psychological concepts such as 1st person perspectives and participation. The analysis...... seeks to undertake a discussion of personal meanings attributed to 'traumatisation'. It raises questions as to whether concepts of this kind and related practices may constitute symbolic violence and contribute to victimisation through looping-processes. Furthermore it aims at unfolding an understanding...... inclusive of connections between societal practices, aspects of symbolic violence, and the conduct of lives. The analysis is based on an empirical study of victimisation through rape and other forms of sexualised coercion....

Graphic symbols as "the mind on paper": links between children's interpretive theory of mind and symbol understanding.

Science.gov (United States)

Myers, Lauren J; Liben, Lynn S

2012-01-01

Children gradually develop interpretive theory of mind (iToM)-the understanding that different people may interpret identical events or stimuli differently. The present study tested whether more advanced iToM underlies children's recognition that map symbols' meanings must be communicated to others when symbols are iconic (resemble their referents). Children (6-9 years; N = 80) made maps using either iconic or abstract symbols. After accounting for age, intelligence, vocabulary, and memory, iToM predicted children's success in communicating symbols' meaning to a naïve map-user when mapping tasks involved iconic (but not abstract) symbols. Findings suggest children's growing appreciation of alternative representations and of the intentional assignment of meaning, and support the contention that ToM progresses beyond mastery of false belief. © 2011 The Authors. Child Development © 2011 Society for Research in Child Development, Inc.

"Boys Press All the Buttons and Hope It Will Help": Upper Secondary School Teachers' Gendered Conceptions about Students' Mathematical Reasoning

Science.gov (United States)

Sumpter, Lovisa

2016-01-01

Previous results show that Swedish upper secondary school teachers attribute gender to cases describing different types of mathematical reasoning. The purpose of this study was to investigate how these teachers gender stereotype aspects of students' mathematical reasoning by studying the symbols that were attributed to boys and girls,…

The role of crossmodal interaction in psychological and brain organization of mathematical abilities

Directory of Open Access Journals (Sweden)

Nikita A. Khokhlov

2016-12-01

Full Text Available The paper analyzes the work of Russian and foreign scholars devoted to the role of cross analyzer cooperation in developing and implementing mathematical abilities.Crossmodal interaction is considered as an additional category of neuropsychological analysis that allows to extend the existing ideas about the psychological structure and brain providing the mathematical ability. There are data that confirm the relevance of studying the interaction of the senses. Many of the research on this issue are carried out using the synesthesia which is considered a rare phenomenon. However, both Russian and foreign works suggest that the interaction of analyzers is not characteristic only to those whose brain is synesthetic. The joint work of the senses is characteristic of every person since his/her childhood, and is an obligatory condition for cognitive processes. Cross analyzer synthesis is assumed to play an important role in producing spatial representations and the ability to intuitively perceive the notion of quantity (evolutionary foundations of mathematical ability. On the brain level, these processes are provided primarily by functioning of parietal and tertiary cortical areas located at the junctionof cortical analyzer areas and also temporal areas that border on the parahippocampal brain area. When dealing with school mathematics the structure of mathematical abilities is changing due to verbal and symbolic representations of numerical coding. Dealing with symbols opens up new opportunities, but it also narrows the spectrum of modalities involved in doing mathematical sums. Thus, the ability to re-encode information from one modality to another after school mathematics is perceived has an impact on the efficacy of mathematical activity. Doing mathematical sums is accompanied by crossmodal interaction that occurs on the unconscious level. Some problem conditions may be efficiently processed in one modality, others may be solved in other modality

Mathematical competencies and the role of mathematics in physics education: A trend analysis of TIMSS Advanced 1995 and 2008

Directory of Open Access Journals (Sweden)

Trude Nilsen

2013-10-01

Full Text Available As students advance in their learning of physics over the course of their education, the requirement of mathematical applications in physics-related tasks increases, especially so in upper secondary school and in higher education. Yet there is little empirical work (particularly large-scale or longitudinal on the application of mathematics in physics education compared with the research related to the conceptual knowledge of physics. In order to clarify the nature of mathematics in physics education, we developed a theoretical framework for mathematical competencies pertinent to various physics tasks based on theoretical frameworks from mathematics and physics education. We used this synthesis of frameworks as a basis to create a model for physics competence. The framework also served as a tool for analyzing and categorizing trend items from the international large-scale survey, TIMSS Advanced 1995 and 2008. TIMSS Advanced assessed students in upper secondary school with special preparation in advanced physics and mathematics. We then investigated the changes in achievements on these categorized items across time for nations who participated in both surveys. The results from our analysis indicate that students whose overall physics achievement declined struggled the most with items requiring mathematics, especially items requiring them to handle symbols, such as manipulating equations. This finding suggests the importance of collaboration between mathematics and physics education as well as the importance of traditional algebra for physics education.

Consumers recall and recognition for brand symbols

OpenAIRE

Subhani, Muhammad Imtiaz; Hasan, Syed Akif; Osman, Ms. Amber

2012-01-01

Brand Symbols are important for any brand in helping consumers to remember one’s brand at the point of purchase. In advertising different ways are used to grab attention in consumers’ mind and majorly it’s through brand recall and recognition. This research captivates the Brand Symbol concept and determines whether symbols play an important role in creating a differential impact with other brands. Secondly, it also answers that whether brand symbol is the cause of creating positive associatio...

Exact computation of the 9-j symbols

International Nuclear Information System (INIS)

Lai Shantao; Chiu Jingnan

1992-01-01

A useful algebraic formula for the 9-j symbol has been rewritten for convenient use on a computer. A simple FORTRAN program for the exact computation of 9-j symbols has been written for the VAX with VMS version V5,4-1 according to this formula. The results agree with the approximate values in existing literature. Some specific values of 9-j symbols needed for the intensity and alignments of three-photon nonresonant transitions are tabulated. Approximate 9-j symbol values beyond the limitation of the computer can also be computed by this program. The computer code of the exact computation of 3-j, 6-j and 9-j symbols are available through electronic mail upon request. (orig.)

Self-symbols as implicit motivators

NARCIS (Netherlands)

Holland, R.W.; Wennekers, A.M.; Bijlstra, G.; Jongenelen, M.M.; van Knippenberg, A.

2009-01-01

The present research explored the nonconscious motivational influence of self-symbols. In line with recent findings on the motivational influence of positive affect, we hypothesized that positive affect associated with self-symbols may boost motivation. In Study 1 people drank more of a beverage

Self-symbols as implicit motivators

NARCIS (Netherlands)

Holland, R.W.; Wennekers, A.M.; Bijlstra, G.; Jongenelen, M.M.; Knippenberg, A.F.M. van

2009-01-01

The present research explored the nonconscious motivational influence of self-symbols. In line with recent findings on the motivational influence of positive affect, we hypothesized that positive affect associated with self-symbols may boost motivation. In Study I people drank more of a beverage

The symbolic economy of drugs.

Science.gov (United States)

Lentacker, Antoine

2016-02-01

This essay reviews four recent studies representing a new direction in the history of pharmaceuticals and pharmaceutical science. To this end, it introduces the notion of a symbolic economy of drugs, defined as the production, circulation, and reception of signs that convey information about drugs and establish trust in them. Each of the studies under review focuses on one key signifier in this symbolic economy, namely the brand, the patent, the clinical trial, and the drug itself. Drawing on Pierre Bourdieu's theory of the economy of symbolic goods, I conceptualize these signifiers as symbolic assets, that is, as instruments of communication and credit, delivering knowledge, carrying value, and producing authority. The notion of a symbolic economy is offered with a threefold intention. First, I introduce it in order to highlight the implications of historical and anthropological work for a broader theory of the economy of drugs, thus suggesting a language for interdisciplinary conversations in the study of pharmaceuticals. Second, I deploy it in an attempt to emphasize the contributions of the recent scholarship on drugs to a critical understanding of our own contemporary ways of organizing access to drugs and information about drugs. Finally, I suggest ways in which it might be of use to scholars of other commodities and technologies.

Classification of follicular lymphoma images: a holistic approach with symbol-based machine learning methods.

Science.gov (United States)

Zorman, Milan; Sánchez de la Rosa, José Luis; Dinevski, Dejan

2011-12-01

It is not very often to see a symbol-based machine learning approach to be used for the purpose of image classification and recognition. In this paper we will present such an approach, which we first used on the follicular lymphoma images. Lymphoma is a broad term encompassing a variety of cancers of the lymphatic system. Lymphoma is differentiated by the type of cell that multiplies and how the cancer presents itself. It is very important to get an exact diagnosis regarding lymphoma and to determine the treatments that will be most effective for the patient's condition. Our work was focused on the identification of lymphomas by finding follicles in microscopy images provided by the Laboratory of Pathology in the University Hospital of Tenerife, Spain. We divided our work in two stages: in the first stage we did image pre-processing and feature extraction, and in the second stage we used different symbolic machine learning approaches for pixel classification. Symbolic machine learning approaches are often neglected when looking for image analysis tools. They are not only known for a very appropriate knowledge representation, but also claimed to lack computational power. The results we got are very promising and show that symbolic approaches can be successful in image analysis applications.

7 CFR 29.3013 - Combination color symbols.

Science.gov (United States)

2010-01-01

... 7 Agriculture 2 2010-01-01 2010-01-01 false Combination color symbols. 29.3013 Section 29.3013..., Inspections, Marketing Practices), DEPARTMENT OF AGRICULTURE COMMODITY STANDARDS AND STANDARD CONTAINER... Type 93) § 29.3013 Combination color symbols. As applied to Burley, combination color symbols are as...

Student difficulties regarding symbolic and graphical representations of vector fields

Directory of Open Access Journals (Sweden)

Laurens Bollen

2017-08-01

Full Text Available The ability to switch between various representations is an invaluable problem-solving skill in physics. In addition, research has shown that using multiple representations can greatly enhance a person’s understanding of mathematical and physical concepts. This paper describes a study of student difficulties regarding interpreting, constructing, and switching between representations of vector fields, using both qualitative and quantitative methods. We first identified to what extent students are fluent with the use of field vector plots, field line diagrams, and symbolic expressions of vector fields by conducting individual student interviews and analyzing in-class student activities. Based on those findings, we designed the Vector Field Representations test, a free response assessment tool that has been given to 196 second- and third-year physics, mathematics, and engineering students from four different universities. From the obtained results we gained a comprehensive overview of typical errors that students make when switching between vector field representations. In addition, the study allowed us to determine the relative prevalence of the observed difficulties. Although the results varied greatly between institutions, a general trend revealed that many students struggle with vector addition, fail to recognize the field line density as an indication of the magnitude of the field, confuse characteristics of field lines and equipotential lines, and do not choose the appropriate coordinate system when writing out mathematical expressions of vector fields.

Student difficulties regarding symbolic and graphical representations of vector fields

Science.gov (United States)

Bollen, Laurens; van Kampen, Paul; Baily, Charles; Kelly, Mossy; De Cock, Mieke

2017-12-01

The ability to switch between various representations is an invaluable problem-solving skill in physics. In addition, research has shown that using multiple representations can greatly enhance a person's understanding of mathematical and physical concepts. This paper describes a study of student difficulties regarding interpreting, constructing, and switching between representations of vector fields, using both qualitative and quantitative methods. We first identified to what extent students are fluent with the use of field vector plots, field line diagrams, and symbolic expressions of vector fields by conducting individual student interviews and analyzing in-class student activities. Based on those findings, we designed the Vector Field Representations test, a free response assessment tool that has been given to 196 second- and third-year physics, mathematics, and engineering students from four different universities. From the obtained results we gained a comprehensive overview of typical errors that students make when switching between vector field representations. In addition, the study allowed us to determine the relative prevalence of the observed difficulties. Although the results varied greatly between institutions, a general trend revealed that many students struggle with vector addition, fail to recognize the field line density as an indication of the magnitude of the field, confuse characteristics of field lines and equipotential lines, and do not choose the appropriate coordinate system when writing out mathematical expressions of vector fields.

Symbolic Time Separation of Events

DEFF Research Database (Denmark)

Amon, Tod; Hulgaard, Henrik

1999-01-01

We extend the TSE~\\cite{Hulgaard95} timing analysis algorithm into the symbolic domain, that is, we allow symbolic variables to be used to specify unknown parameters of the model (essentially, unknown delays) and verification algorithms which are capable of identifying not just failure or success...

Abstract Expression Grammar Symbolic Regression

Science.gov (United States)

Korns, Michael F.

This chapter examines the use of Abstract Expression Grammars to perform the entire Symbolic Regression process without the use of Genetic Programming per se. The techniques explored produce a symbolic regression engine which has absolutely no bloat, which allows total user control of the search space and output formulas, which is faster, and more accurate than the engines produced in our previous papers using Genetic Programming. The genome is an all vector structure with four chromosomes plus additional epigenetic and constraint vectors, allowing total user control of the search space and the final output formulas. A combination of specialized compiler techniques, genetic algorithms, particle swarm, aged layered populations, plus discrete and continuous differential evolution are used to produce an improved symbolic regression sytem. Nine base test cases, from the literature, are used to test the improvement in speed and accuracy. The improved results indicate that these techniques move us a big step closer toward future industrial strength symbolic regression systems.

Symbol interval optimization for molecular communication with drift.

Science.gov (United States)

Kim, Na-Rae; Eckford, Andrew W; Chae, Chan-Byoung

2014-09-01

In this paper, we propose a symbol interval optimization algorithm in molecular communication with drift. Proper symbol intervals are important in practical communication systems since information needs to be sent as fast as possible with low error rates. There is a trade-off, however, between symbol intervals and inter-symbol interference (ISI) from Brownian motion. Thus, we find proper symbol interval values considering the ISI inside two kinds of blood vessels, and also suggest no ISI system for strong drift models. Finally, an isomer-based molecule shift keying (IMoSK) is applied to calculate achievable data transmission rates (achievable rates, hereafter). Normalized achievable rates are also obtained and compared in one-symbol ISI and no ISI systems.

Scientific applications of symbolic computation

International Nuclear Information System (INIS)

Hearn, A.C.

1976-02-01

The use of symbolic computation systems for problem solving in scientific research is reviewed. The nature of the field is described, and particular examples are considered from celestial mechanics, quantum electrodynamics and general relativity. Symbolic integration and some more recent applications of algebra systems are also discussed [fr

New symbol launched to warn public about radiation dangers. Supplementary symbol aims to help reduce needless deaths and injuries

International Nuclear Information System (INIS)

2007-01-01

Full text: With radiating waves, a skull and crossbones and a running person, a new ionizing radiation warning symbol is being introduced to supplement the traditional international symbol for radiation, the three cornered trefoil. The new symbol is being launched today by the IAEA and the International Organization for Standardization (ISO) to help reduce needless deaths and serious injuries from accidental exposure to large radioactive sources. It will serve as a supplementary warning to the trefoil, which has no intuitive meaning and little recognition beyond those educated in its significance. 'I believe the international recognition of the specific expertise of both organizations will ensure that the new standard will be accepted and applied by governments and industry to improve the safety of nuclear applications, protection of people and the environment', said Ms. Eliana Amaral, Director, Division of Radiation, Transport and Waste Safety, IAEA. The new symbol is aimed at alerting anyone, anywhere to the potential dangers of being close to a large source of ionizing radiation, the result of a five-year project conducted in 11 countries around the world. The symbol was tested with different population groups - mixed ages, varying educational backgrounds, male and female - to ensure that its message of 'danger- stay away' was crystal clear and understood by all. 'We can't teach the world about radiation,' said Carolyn Mac Kenzie, an IAEA radiation specialist who helped develop the symbol, 'but we can warn people about dangerous sources for the price of sticker.' The new symbol, developed by human factor experts, graphic artists, and radiation protection experts, was tested by the Gallup Institute on a total of 1 650 individuals in Brazil, Mexico, Morocco, Kenya, Saudi Arabia, China, India, Thailand, Poland, Ukraine and the United States. The symbol is intended for IAEA Category 1, 2 and 3 sources defined as dangerous sources capable of death or serious injury

New symbol launched to warn public about radiation dangers. Supplementary symbol aims to help reduce needless deaths and injuries

International Nuclear Information System (INIS)

2007-01-01

Full text: With radiating waves, a skull and crossbones and a running person, a new ionizing radiation warning symbol is being introduced to supplement the traditional international symbol for radiation, the three cornered trefoil. The new symbol is being launched today by the IAEA and the International Organization for Standardization (ISO) to help reduce needless deaths and serious injuries from accidental exposure to large radioactive sources. It will serve as a supplementary warning to the trefoil, which has no intuitive meaning and little recognition beyond those educated in its significance. 'I believe the international recognition of the specific expertise of both organizations will ensure that the new standard will be accepted and applied by governments and industry to improve the safety of nuclear applications, protection of people and the environment', said Ms. Eliana Amaral, Director, Division of Radiation, Transport and Waste Safety, IAEA. The new symbol is aimed at alerting anyone, anywhere to the potential dangers of being close to a large source of ionizing radiation, the result of a five-year project conducted in 11 countries around the world. The symbol was tested with different population groups - mixed ages, varying educational backgrounds, male and female - to ensure that its message of 'danger- stay away' was crystal clear and understood by all. 'We can't teach the world about radiation,' said Carolyn Mac Kenzie, an IAEA radiation specialist who helped develop the symbol, 'but we can warn people about dangerous sources for the price of sticker.' The new symbol, developed by human factor experts, graphic artists, and radiation protection experts, was tested by the Gallup Institute on a total of 1 650 individuals in Brazil, Mexico, Morocco, Kenya, Saudi Arabia, China, India, Thailand, Poland, Ukraine and the United States. The symbol is intended for IAEA Category 1, 2 and 3 sources defined as dangerous sources capable of death or serious injury

New symbol launched to warn public about radiation dangers. Supplementary symbol aims to help reduce needless deaths and injuries

International Nuclear Information System (INIS)

2007-01-01

Full text: With radiating waves, a skull and crossbones and a running person, a new ionizing radiation warning symbol is being introduced to supplement the traditional international symbol for radiation, the three cornered trefoil. The new symbol is being launched today by the IAEA and the International Organization for Standardization (ISO) to help reduce needless deaths and serious injuries from accidental exposure to large radioactive sources. It will serve as a supplementary warning to the trefoil, which has no intuitive meaning and little recognition beyond those educated in its significance. 'I believe the international recognition of the specific expertise of both organizations will ensure that the new standard will be accepted and applied by governments and industry to improve the safety of nuclear applications, protection of people and the environment', said Ms. Eliana Amaral, Director, Division of Radiation, Transport and Waste Safety, IAEA. The new symbol is aimed at alerting anyone, anywhere to the potential dangers of being close to a large source of ionizing radiation, the result of a five-year project conducted in 11 countries around the world. The symbol was tested with different population groups - mixed ages, varying educational backgrounds, male and female - to ensure that its message of 'danger- stay away' was crystal clear and understood by all. 'We can't teach the world about radiation,' said Carolyn Mac Kenzie, an IAEA radiation specialist who helped develop the symbol, 'but we can warn people about dangerous sources for the price of sticker.' The new symbol, developed by human factor experts, graphic artists, and radiation protection experts, was tested by the Gallup Institute on a total of 1 650 individuals in Brazil, Mexico, Morocco, Kenya, Saudi Arabia, China, India, Thailand, Poland, Ukraine and the United States. The symbol is intended for IAEA Category 1, 2 and 3 sources defined as dangerous sources capable of death or serious injury

New symbol launched to warn public about radiation dangers. Supplementary symbol aims to help reduce needless deaths and injuries

International Nuclear Information System (INIS)

2007-01-01

Full text: With radiating waves, a skull and crossbones and a running person, a new ionizing radiation warning symbol is being introduced to supplement the traditional international symbol for radiation, the three cornered trefoil. The new symbol is being launched today by the IAEA and the International Organization for Standardization (ISO) to help reduce needless deaths and serious injuries from accidental exposure to large radioactive sources. It will serve as a supplementary warning to the trefoil, which has no intuitive meaning and little recognition beyond those educated in its significance. 'I believe the international recognition of the specific expertise of both organizations will ensure that the new standard will be accepted and applied by governments and industry to improve the safety of nuclear applications, protection of people and the environment', said Ms. Eliana Amaral, Director, Division of Radiation, Transport and Waste Safety, IAEA. The new symbol is aimed at alerting anyone, anywhere to the potential dangers of being close to a large source of ionizing radiation, the result of a five-year project conducted in 11 countries around the world. The symbol was tested with different population groups - mixed ages, varying educational backgrounds, male and female - to ensure that its message of 'danger- stay away' was crystal clear and understood by all. 'We can't teach the world about radiation,' said Carolyn Mac Kenzie, an IAEA radiation specialist who helped develop the symbol, 'but we can warn people about dangerous sources for the price of sticker.' The new symbol, developed by human factor experts, graphic artists, and radiation protection experts, was tested by the Gallup Institute on a total of 1 650 individuals in Brazil, Mexico, Morocco, Kenya, Saudi Arabia, China, India, Thailand, Poland, Ukraine and the United States. The symbol is intended for IAEA Category 1, 2 and 3 sources defined as dangerous sources capable of death or serious injury

Symbolic Dynamics of Reanalysis Data

Science.gov (United States)

Larson, J. W.; Dickens, P. M.

2003-12-01

Symbolic dynamics1 is the study of sequences of symbols belonging to a discrete set of elements, the most commmon example being a sequence of ones and zeroes. Often the set of symbols is derived from a timeseries of a continuous variable through the introduction of a partition function--a process called symbolization. Symbolic dynamics has been used widely in the physical sciences; a geophysical example being the application of C1 and C2 complexity2 to hourly precipitation station data3. The C1 and C2 complexities are computed by examining subsequences--or words--of fixed length L in the limit of large values of L. Recent advances in information theory have led to techniques focused on the growth rate of the Shannon entropy and its asymptotic behavior in the limit of long words--levels of entropy convergence4. The result is a set of measures one can use to quantify the amount of memory stored in the sequence, whether or not an observer is able to synchronize to the sequence, and with what confidence it may be predicted. These techniques may also be used to uncover periodic behavior in the sequence. We are currently applying complexity theory and levels of entropy convergence to gridpoint timeseries from the NCAR/NCEP 50-year reanalysis5. Topics to be discussed include: a brief introduction to symbolic dynamics; a description of the partition function/symbolization strategy; a discussion of C1 and C2 complexity and entropy convergence rates and their utility; and example applications of these techniques to NCAR/NCEP 50-reanalyses gridpoint timeseries, resulting in maps of C1 and C2 complexities and entropy convergence rates. Finally, we will discuss how these results may be used to validate climate models. 1{Hao, Bai-Lin, Elementary Symbolic Dynamics and Chaos in Dissipative Systems, Wold Scientific, Singapore (1989)} 2{d'Alessandro, G. and Politi, A., Phys. Rev. Lett., 64, 1609-1612 (1990).} 3{Elsner, J. and Tsonis, A., J. Atmos. Sci., 50, 400-405 (1993).} 4

Analysis of mathematical literacy ability based on self-efficacy in model eliciting activities using metaphorical thinking approach

Science.gov (United States)

Setiani, C.; Waluya, S. B.; Wardono

2018-03-01

The purposes of this research are: (1) to identify learning quality in Model Eliciting Activities (MEAs) using a Metaphorical Thinking (MT) approach regarding qualitative and quantitative; (2) to analyze mathematical literacy of students based on Self-Efficacy (SE). This research is mixed method concurrent embedded design with qualitative research as the primary method. The quantitative research used quasi-experimental with non-equivalent control group design. The population is VIII grade students of SMP Negeri 3 Semarang Indonesia. Quantitative data is examined by conducting completeness mean test, standard completeness test, mean differentiation test and proportional differentiation test. Qualitative data is analyzed descriptively. The result of this research shows that MEAs learning using MT approach accomplishes good criteria both quantitatively and qualitatively. Students with low self-efficacy can identify problems, but they are lack ability to arrange problem-solving strategy on mathematical literacy questions. Students with medium self-efficacy can identify information provided in issues, but they find difficulties to use math symbols in making a representation. Students with high self-efficacy are excellent to represent problems into mathematical models as well as figures by using appropriate symbols and tools, so they can arrange strategy easily to solve mathematical literacy questions.

School Chemistry Laboratory Safety Guide

Science.gov (United States)

Brundage, Patricia; Palassis, John

2006-01-01

The guide presents information about ordering, using, storing, and maintaining chemicals in the high school laboratory. The guide also provides information about chemical waste, safety and emergency equipment, assessing chemical hazards, common safety symbols and signs, and fundamental resources relating to chemical safety, such as Material…

The rhetoric of disenchantment through symbolism

OpenAIRE

Munyangeyo, Théophile

2012-01-01

The symbolism of flowers has always been a significant part of cultures around the world due to their functional meaning in daily life. From their decorative to their aromatic role, flowers and their symbolic meaning trigger emotions, convey wishes and represent thoughts that can not be explicitly expressed. In this regard, an elaborate language based on flower symbolism was developed in many societies, to convey clear messages to the recipient. However, in some cultural contexts, although th...

14 CFR 95.3 - Symbols.

Science.gov (United States)

2010-01-01

... 14 Aeronautics and Space 2 2010-01-01 2010-01-01 false Symbols. 95.3 Section 95.3 Aeronautics and Space FEDERAL AVIATION ADMINISTRATION, DEPARTMENT OF TRANSPORTATION (CONTINUED) AIR TRAFFIC AND GENERAL OPERATING RULES IFR ALTITUDES General § 95.3 Symbols. For the purposes of this part— (a) COP means...

50 CFR 80.26 - Symbols.

Science.gov (United States)

2010-10-01

... appropriate symbol(s) on areas, such as wildlife management areas and fishing access facilities, acquired..., losses and damages arising out of any allegedly unauthorized use of any patent, process, idea, method or... and also from any claims, suits, losses and damages arising out of alleged defects in the articles or...

46 CFR 50.10-25 - Coast Guard Symbol.

Science.gov (United States)

2010-10-01

... 46 Shipping 2 2010-10-01 2010-10-01 false Coast Guard Symbol. 50.10-25 Section 50.10-25 Shipping... Definition of Terms Used in This Subchapter § 50.10-25 Coast Guard Symbol. (a) The term Coast Guard Symbol... impression of the Coast Guard Symbol for stamping nameplates and specimens is shown in Figure 50.10-25(b...

21 CFR 1302.03 - Symbol required; exceptions.

Science.gov (United States)

2010-04-01

... 21 Food and Drugs 9 2010-04-01 2010-04-01 false Symbol required; exceptions. 1302.03 Section 1302... REQUIREMENTS FOR CONTROLLED SUBSTANCES § 1302.03 Symbol required; exceptions. (a) Each commercial container of... § 1308.31 of this chapter) shall have printed on the label the symbol designating the schedule in which...

40 CFR 60.581 - Definitions and symbols.

Science.gov (United States)

2010-07-01

... 40 Protection of Environment 6 2010-07-01 2010-07-01 false Definitions and symbols. 60.581 Section... Coating and Printing § 60.581 Definitions and symbols. (a) All terms used in this subpart, not defined... solvent vapors emitted from the flexible vinyl or urethane rotogravure printing line. (b) All symbols used...

32 CFR 310.42 - Reports control symbol.

Science.gov (United States)

2010-07-01

... 32 National Defense 2 2010-07-01 2010-07-01 false Reports control symbol. 310.42 Section 310.42... PROGRAM DOD PRIVACY PROGRAM Reports § 310.42 Reports control symbol. Any report established by this subpart in support of the Privacy Program shall be assigned Report Control Symbol DD-COMP(A)1379. ...

An Acoustic OFDM System with Symbol-by-Symbol Doppler Compensation for Underwater Communication.

Science.gov (United States)

MinhHai, Tran; Rie, Saotome; Suzuki, Taisaku; Wada, Tomohisa

2016-01-01

We propose an acoustic OFDM system for underwater communication, specifically for vertical link communications such as between a robot in the sea bottom and a mother ship in the surface. The main contributions are (1) estimation of time varying Doppler shift using continual pilots in conjunction with monitoring the drift of Power Delay Profile and (2) symbol-by-symbol Doppler compensation in frequency domain by an ICI matrix representing nonuniform Doppler. In addition, we compare our proposal against a resampling method. Simulation and experimental results confirm that our system outperforms the resampling method when the velocity changes roughly over OFDM symbols. Overall, experimental results taken in Shizuoka, Japan, show our system using 16QAM, and 64QAM achieved a data throughput of 7.5 Kbit/sec with a transmitter moving at maximum 2 m/s, in a complicated trajectory, over 30 m vertically.

Applied cartographic communication: map symbolization for atlases.

Science.gov (United States)

Morrison, J.L.

1984-01-01

A detailed investigation of the symbolization used on general-purpose atlas reference maps. It indicates how theories of cartographic communication can be put into practice. Two major points emerge. First, that a logical scheme can be constructed from existing cartographic research and applied to an analysis of the choice of symbolization on a map. Second, the same structure appears to allow the cartographer to specify symbolization as a part of map design. An introductory review of cartographic communication is followed by an analysis of selected maps' usage of point, area and line symbols, boundaries, text and colour usage.-after Author

Signs of In/Equality: A History of Representation and Reform in Elementary School Mathematics from the 1950s to the Present

Science.gov (United States)

Diaz, Jennifer DeNet

2014-01-01

This study begins with the assumption that the equal sign (=) in elementary school mathematics is not merely a symbol of mathematical logic. Rather, as the equal sign (=) appears in the school math curriculum, it orders children's thinking about equality by assigning identities to things of the world--as expressions of equivalences and…

Silent method for mathematics instruction: An overview of teaching subsets

Science.gov (United States)

Sugiman, Apino, Ezi

2017-05-01

Generally, teachers use oral communication for teaching mathematics. Taking an opposite perspective, this paper describes how instructional practices for mathematics can be carried out namely a silent method. Silent method uses body language, written, and oral communication for classroom interaction. This research uses a design research approach consisting of four phases: preliminary, prototyping and developing the instruction, and assessment. There are four stages of silent method. The first stage is conditioning stage in which the teacher introduces the method and makes agreement about the `rule of the game'. It is followed by the second one, elaborating stage, where students guess and explore alternative answers. The third stage is developing mathematical thinking by structuring and symbolizing. Finally, the method is ended by reinforcing stage which aims at strengthening and reflecting student's understanding. In this paper, every stage is described on the basis of practical experiences in a real mathematics classroom setting.

Symbol signing design for older drivers

Science.gov (United States)

1997-07-01

This project evaluated the effectiveness of symbol traffic signs for young, middle-aged and elderly drivers. Daytime legibility distance and comprehension of 85 symbols in the Manual on Uniform Traffic Control Devices (MUTCD) were measured. Legibilit...

ACER: A framework on the use of mathematics in upper-division physics

Science.gov (United States)

Caballero, Marcos D.; Wilcox, Bethany R.; Pepper, Rachel E.; Pollock, Steven J.

2013-01-01

At the University of Colorado Boulder, as part of our broader efforts to transform middle- and upper-division physics courses, we research students' difficulties with particular concepts, methods, and tools in classical mechanics, electromagnetism, and quantum mechanics. Unsurprisingly, a number of difficulties are related to students' use of mathematical tools (e.g., approximation methods). Previous work has documented a number of challenges that students must overcome to use mathematical tools fluently in introductory physics (e.g., mapping meaning onto mathematical symbols). We have developed a theoretical framework to facilitate connecting students' difficulties to challenges with specific mathematical and physical concepts. In this paper, we motivate the need for this framework and demonstrate its utility for both researchers and course instructors by applying it to frame results from interview data on students' use of Taylor approximations.

What’s the problem with symbolic religious establishment? The alienation and symbolic equality accounts

DEFF Research Database (Denmark)

Lægaard, Sune

2017-01-01

In this chapter I examine two possible reasons, which are prominent but often not systematically discussed in the literature, for thinking even purely symbolic establishment problematic. These are considerations of alienation and symbolic equality. I am only concerned with ways in which establish...... establishment might be normatively problematic even if it does not infringe on religious freedom and does not involve material injustices in other respects....

Designing and evaluating symbols for electronic displays of navigation information : symbol stereotypes and symbol-feature rules

Science.gov (United States)

2005-09-30

There is currently no common symbology standard for the electronic display of navigation information. The wide range of display technology and the different functions these displays support makes it difficult to design symbols that are easily recogni...

An Acoustic OFDM System with Symbol-by-Symbol Doppler Compensation for Underwater Communication

Directory of Open Access Journals (Sweden)

Tran MinhHai

2016-01-01

Full Text Available We propose an acoustic OFDM system for underwater communication, specifically for vertical link communications such as between a robot in the sea bottom and a mother ship in the surface. The main contributions are (1 estimation of time varying Doppler shift using continual pilots in conjunction with monitoring the drift of Power Delay Profile and (2 symbol-by-symbol Doppler compensation in frequency domain by an ICI matrix representing nonuniform Doppler. In addition, we compare our proposal against a resampling method. Simulation and experimental results confirm that our system outperforms the resampling method when the velocity changes roughly over OFDM symbols. Overall, experimental results taken in Shizuoka, Japan, show our system using 16QAM, and 64QAM achieved a data throughput of 7.5 Kbit/sec with a transmitter moving at maximum 2 m/s, in a complicated trajectory, over 30 m vertically.

An Acoustic OFDM System with Symbol-by-Symbol Doppler Compensation for Underwater Communication

Science.gov (United States)

MinhHai, Tran; Rie, Saotome; Suzuki, Taisaku; Wada, Tomohisa

2016-01-01

We propose an acoustic OFDM system for underwater communication, specifically for vertical link communications such as between a robot in the sea bottom and a mother ship in the surface. The main contributions are (1) estimation of time varying Doppler shift using continual pilots in conjunction with monitoring the drift of Power Delay Profile and (2) symbol-by-symbol Doppler compensation in frequency domain by an ICI matrix representing nonuniform Doppler. In addition, we compare our proposal against a resampling method. Simulation and experimental results confirm that our system outperforms the resampling method when the velocity changes roughly over OFDM symbols. Overall, experimental results taken in Shizuoka, Japan, show our system using 16QAM, and 64QAM achieved a data throughput of 7.5 Kbit/sec with a transmitter moving at maximum 2 m/s, in a complicated trajectory, over 30 m vertically. PMID:27057558

Intuitiveness of Symbol Features for Air Traffic Management

Science.gov (United States)

Ngo, Mary Kim; Vu, Kim-Phuong L.; Thorpe, Elaine; Battiste, Vernol; Strybel, Thomas Z.

2012-01-01

We present the results of two online surveys asking participants to indicate what type of air traffic information might be conveyed by a number of symbols and symbol features (color, fill, text, and shape). The results of this initial study suggest that the well-developed concepts of ownership, altitude, and trajectory are readily associated with certain symbol features, while the relatively novel concept of equipage was not clearly associated with any specific symbol feature.

Parties, rituals and symbolisms in schools

Directory of Open Access Journals (Sweden)

Ana Cecilia Valencia Aguirre

2015-07-01

Full Text Available This paper aims at analyzing school parties from interaction spaces and principals’ narratives in six schools in the state of Jalisco. A party is a ritual where participants share symbols related to imaginary –hence the importance of conducting an analysis for understanding institutions as a symbolic framework. A core argument is that established actors are configured from symbolic practices in the institutional space (schools. The repetition of these practices awash with symbolism leads to daily rituals or micro rituals that are ratified in institutions. Methodologically, interviews and non-participant observation in school interaction spaces were used. Based on the findings, it may be stated that the nuclear family, rooted in the Christian image in which authority is a central point, becomes a fundamental factor in shaping institutional life as well as the imaginary linked to school parties.

Early Math Trajectories: Low-Income Children's Mathematics Knowledge From Ages 4 to 11.

Science.gov (United States)

Rittle-Johnson, Bethany; Fyfe, Emily R; Hofer, Kerry G; Farran, Dale C

2017-09-01

Early mathematics knowledge is a strong predictor of later academic achievement, but children from low-income families enter school with weak mathematics knowledge. An early math trajectories model is proposed and evaluated within a longitudinal study of 517 low-income American children from ages 4 to 11. This model includes a broad range of math topics, as well as potential pathways from preschool to middle grades mathematics achievement. In preschool, nonsymbolic quantity, counting, and patterning knowledge predicted fifth-grade mathematics achievement. By the end of first grade, symbolic mapping, calculation, and patterning knowledge were the important predictors. Furthermore, the first-grade predictors mediated the relation between preschool math knowledge and fifth-grade mathematics achievement. Findings support the early math trajectories model among low-income children. © 2016 The Authors. Child Development © 2016 Society for Research in Child Development, Inc.

Multiple-Symbol, Partially Coherent Detection of MPSK

Science.gov (United States)

Simon, Marvin K.; Divsalar, Dariush

1994-01-01

Proposed method of reception of multiple-phase-shift-keyed (MPSK) radio signals involves multiple-symbol, partially coherent detection. Instead of attempting to determine phase of transmitted signal during each symbol period as in coherent detection, receiver acquires signal data during multiple-symbol observation interval, then produces maximum-likelihood-sequence estimate of phases transmitted during interval. Combination of coherent-reception and incoherent-reception decision rules are used.

Effects of background color and symbol arrangement cues on construction of multi-symbol messages by young children without disabilities: implications for aided AAC design.

Science.gov (United States)

Thistle, Jennifer J; Wilkinson, Krista

2017-09-01

Children whose speech does not meet their communication needs often benefit from augmentative and alternative communication (AAC). The design of an AAC display may influence the child's ability to communicate effectively. The current study examined how symbol background color cues and symbol arrangement affected construction of multi-symbol messages using line-drawing symbols, by young children with typical development. Participants (N = 52) heard a spoken phrase matching a photograph and selected line drawings within a 4 × 4 array. Friedman two-way ANOVAs evaluated speed and accuracy of multi-symbol message construction under four conditions in which the background color and arrangement of symbols was manipulated. Participants demonstrated significantly faster response times when symbols were arranged by word-class category compared to no symbol arrangement. The majority of children responded faster when symbols had white backgrounds, but this effect failed to reach statistical significance. This study provides preliminary evidence suggesting the importance of symbol arrangement for young children. The findings highlight the need for caution when incorporating background color on displays for young children. Future research is needed to examine the effect of visual cues on children who use AAC and consider additional factors that could influence efficacy of symbol arrangement and background color use.

The Scientific Import of Symbols in Human Knowledge | Agbanusi ...

African Journals Online (AJOL)

Symbolism, being the use of symbols to represent ideas, it is generally believed that symbolism is restricted to the Arts, especially logic and literature. However, recent developments have shown that symbolism can be an interesting companion and, in fact, a necessary complement, of science. This work X-Rays the ...

Use of language in symbolic play of toddlers

OpenAIRE

Knap, Petra

2015-01-01

The purpose of the thesis is to determine which materials encourage language development during symbolic play, how often do children in the first age group engage in symbolic play, and how can the teacher influence speech development during this activity. The theoretical part defines play, focusing on symbolic play. It also describes the role of the preschool teacher during play and explores the speech of younger children during symbolic play. The empirical part of the thesis examines whic...

The Polish LGBT movement : symbolic conflict and stigma

OpenAIRE

Mossakowski, Tomek

2011-01-01

This thesis examines the political activities of the LGBT movement in Poland as it seeks to increase its position on the socio-political landscape and ultimately rid itself of stigma. Using ethnographic data collection at a non-governmental organisation in Warsaw, it discusses the use of symbols and the accumulation of what Bourdieu called symbolic capital. It draws heavily on the theory of Harrison's symbolic conflict and Schwimmer's notions of symbolic and direct competition, while bringing...

Symbolism in European Integration

DEFF Research Database (Denmark)

Manners, Ian

2011-01-01

Ernst Haas observed over fifty years ago that ‘United Europe' is a resilient, adaptable, unifying, and yet unspecified symbol'. It is precisely this adaptability and ambiguity that has ensures the continuing importance of European studies as a means of understanding ‘the remarkable social...... of social transformation involved' (Calhoun 2003: 18). This article will consider the role of symbolism in European integration as part of answering Craig Calhoun's call for a means of transcending specific regimes of analysis in order to advance European studies....

Marriages of mathematics and physics: A challenge for biology.

Science.gov (United States)

Islami, Arezoo; Longo, Giuseppe

2017-12-01

The human attempts to access, measure and organize physical phenomena have led to a manifold construction of mathematical and physical spaces. We will survey the evolution of geometries from Euclid to the Algebraic Geometry of the 20th century. The role of Persian/Arabic Algebra in this transition and its Western symbolic development is emphasized. In this relation, we will also discuss changes in the ontological attitudes toward mathematics and its applications. Historically, the encounter of geometric and algebraic perspectives enriched the mathematical practices and their foundations. Yet, the collapse of Euclidean certitudes, of over 2300 years, and the crisis in the mathematical analysis of the 19th century, led to the exclusion of "geometric judgments" from the foundations of Mathematics. After the success and the limits of the logico-formal analysis, it is necessary to broaden our foundational tools and re-examine the interactions with natural sciences. In particular, the way the geometric and algebraic approaches organize knowledge is analyzed as a cross-disciplinary and cross-cultural issue and will be examined in Mathematical Physics and Biology. We finally discuss how the current notions of mathematical (phase) "space" should be revisited for the purposes of life sciences. Copyright © 2017. Published by Elsevier Ltd.

SYMBOL LEVEL DECODING FOR DUO-BINARY TURBO CODES

Directory of Open Access Journals (Sweden)

Yogesh Beeharry

2017-05-01

Full Text Available This paper investigates the performance of three different symbol level decoding algorithms for Duo-Binary Turbo codes. Explicit details of the computations involved in the three decoding techniques, and a computational complexity analysis are given. Simulation results with different couple lengths, code-rates, and QPSK modulation reveal that the symbol level decoding with bit-level information outperforms the symbol level decoding by 0.1 dB on average in the error floor region. Moreover, a complexity analysis reveals that symbol level decoding with bit-level information reduces the decoding complexity by 19.6 % in terms of the total number of computations required for each half-iteration as compared to symbol level decoding.

Symbol lock detection implemented with nonoverlapping integration intervals

Science.gov (United States)

Shihabi, Mazen M. (Inventor); Hinedi, Sami M. (Inventor); Shah, Biren N. (Inventor)

1995-01-01

A symbol lock detector is introduced for an incoming coherent digital communication signal which utilizes a subcarrier modulated with binary symbol data, d(sub k), and known symbol interval T by integrating binary values of the signal over nonoverlapping first and second intervals selected to be T/2, delaying the first integral an interval T/2, and either summing or multiplying the second integral with the first one that preceded it to form a value X(sub k). That value is then averaged over a number M of symbol intervals to produce a static value Y. A symbol lock decision can then be made when the static value Y exceeds a threshold level delta.

7 CFR 97.900 - Form of official identification symbol.

Science.gov (United States)

2010-01-01

... 7 Agriculture 3 2010-01-01 2010-01-01 false Form of official identification symbol. 97.900 Section... symbol. The symbol set forth in Figure 1, containing the words “Plant Variety Protection Office” and “U.S. Department of Agriculture,” shall be the official identification symbol of the Plant Variety Protection...

Visual Symbolism in Contemporary Theatre Directing in Nigeria ...

African Journals Online (AJOL)

This difference is cropped from the director's perception, conception, imaginative and creative impetus. Visual symbolism in the theatre as a medium traverse forms, textures, symbols, lines, lighting, circles and balance in creating an everlasting theatre experience. Visual symbolism is influenced by style, concept, forms, ...

Assessment of symbolic function in Mexican preschool children

Directory of Open Access Journals (Sweden)

N. R. Jiménez Barreto

2013-04-01

Full Text Available Development of symbolic function is an important psychological formation of pre-school age and reflects the possibility of the child to use signs and symbols in a conscious way. Assessment of symbolic function can be used as one of preparation for school indicators. The objective of the present study is to characterize the level of symbolic function development in Mexican pre-school children. 59 children were included in the study. The ages of the children were between 5 and 6 years and all of them belonged to sub-urban pre-school institution. All 59 children participated in this study for the first time. Our assessment consisted of specific tasks with symbolic means on materialized, perceptive and verbal levels. Each child was tested individually. Results showed an insufficient development of the symbolic function in all evaluated children. More than 78% of the children showed difficulties during performance in the tasks of assessment; their drawings were undifferentiated and had few essential characteristics. The obtained results show the necessity to implement developmental strategies in order to guarantee the formation of the ability of constant conscious sage of symbolic means at the end of pre-school age.

Circular blurred shape model for multiclass symbol recognition.

Science.gov (United States)

Escalera, Sergio; Fornés, Alicia; Pujol, Oriol; Lladós, Josep; Radeva, Petia

2011-04-01

In this paper, we propose a circular blurred shape model descriptor to deal with the problem of symbol detection and classification as a particular case of object recognition. The feature extraction is performed by capturing the spatial arrangement of significant object characteristics in a correlogram structure. The shape information from objects is shared among correlogram regions, where a prior blurring degree defines the level of distortion allowed in the symbol, making the descriptor tolerant to irregular deformations. Moreover, the descriptor is rotation invariant by definition. We validate the effectiveness of the proposed descriptor in both the multiclass symbol recognition and symbol detection domains. In order to perform the symbol detection, the descriptors are learned using a cascade of classifiers. In the case of multiclass categorization, the new feature space is learned using a set of binary classifiers which are embedded in an error-correcting output code design. The results over four symbol data sets show the significant improvements of the proposed descriptor compared to the state-of-the-art descriptors. In particular, the results are even more significant in those cases where the symbols suffer from elastic deformations.

Matter and symbols of the artificial

Energy Technology Data Exchange (ETDEWEB)

Rocha, L.M.

1998-08-01

The study of complex systems should be based on a systems-theoretic framework which requires both self-organizing and symbolic dimensions. An inclusive framework based on the notion of semiotics is advanced to build models capable of representing, as well as evolving in their environments, with implications for Artificial Life. Such undertaking is pursued by discussing the ways in which symbol and matter are irreducibly intertwined in evolutionary systems. The problem is thus phrased in terms of the semiotic categories of syntax, semantics, and pragmatics. With this semiotic view of matter and symbols the requirements of semiotic closure are expressed in models with both self-organizing and symbolic characteristics. Situated action and recent developments in the evolution of cellular automata rules to solve non-trivial tasks are discussed in this context. Finally, indirect encoding schemes for genetic algorithms are developed which follow the semiotic framework here proposed.

Symbolic math for computation of radiation shielding

International Nuclear Information System (INIS)

Suman, Vitisha; Datta, D.; Sarkar, P.K.; Kushwaha, H.S.

2010-01-01

Radiation transport calculations for shielding studies in the field of accelerator technology often involve intensive numerical computations. Traditionally, radiation transport equation is solved using finite difference scheme or advanced finite element method with respect to specific initial and boundary conditions suitable for the geometry of the problem. All these computations need CPU intensive computer codes for accurate calculation of scalar and angular fluxes. Computation using symbols of the analytical expression representing the transport equation as objects is an enhanced numerical technique in which the computation is completely algorithm and data oriented. Algorithm on the basis of symbolic math architecture is developed using Symbolic math toolbox of MATLAB software. Present paper describes the symbolic math algorithm and its application as a case study in which shielding calculation of rectangular slab geometry is studied for a line source of specific activity. Study of application of symbolic math in this domain evolves a new paradigm compared to the existing computer code such as DORT. (author)

Analysing the Effectiveness of the Personality Symbols/Icons

OpenAIRE

Halim, İpek

2012-01-01

Personality symbol can cover all the identifications of the brand. It can be the face or the soul of the company. Their effect on the brand image is huge. The research focuses on calculating the roles and effectives of the personality symbols. It aims to bring in suggestions for developing a successful personality symbols and lists advantages and disadvantages of different types of personality symbols. It does a detailed copy testing. Apart from conducting focus groups to analyse how the targ...

Symbol Synchronization for Diffusion-Based Molecular Communications.

Science.gov (United States)

Jamali, Vahid; Ahmadzadeh, Arman; Schober, Robert

2017-12-01

Symbol synchronization refers to the estimation of the start of a symbol interval and is needed for reliable detection. In this paper, we develop several symbol synchronization schemes for molecular communication (MC) systems where we consider some practical challenges, which have not been addressed in the literature yet. In particular, we take into account that in MC systems, the transmitter may not be equipped with an internal clock and may not be able to emit molecules with a fixed release frequency. Such restrictions hold for practical nanotransmitters, e.g., modified cells, where the lengths of the symbol intervals may vary due to the inherent randomness in the availability of food and energy for molecule generation, the process for molecule production, and the release process. To address this issue, we develop two synchronization-detection frameworks which both employ two types of molecule. In the first framework, one type of molecule is used for symbol synchronization and the other one is used for data detection, whereas in the second framework, both types of molecule are used for joint symbol synchronization and data detection. For both frameworks, we first derive the optimal maximum likelihood (ML) symbol synchronization schemes as performance upper bounds. Since ML synchronization entails high complexity, for each framework, we also propose three low-complexity suboptimal schemes, namely a linear filter-based scheme, a peak observation-based scheme, and a threshold-trigger scheme, which are suitable for MC systems with limited computational capabilities. Furthermore, we study the relative complexity and the constraints associated with the proposed schemes and the impact of the insertion and deletion errors that arise due to imperfect synchronization. Our simulation results reveal the effectiveness of the proposed synchronization schemes and suggest that the end-to-end performance of MC systems significantly depends on the accuracy of the symbol

Examining the Nexus between Grounded Theory and Symbolic Interactionism

Directory of Open Access Journals (Sweden)

P. Jane Milliken RN, PhD

2012-12-01

Full Text Available Grounded theory is inherently symbolic interactionist; however, not all grounded theory researchers appreciate its importance or benefit from its influence. Elsewhere, we have written about the intrinsic relationship between grounded theory and symbolic interactionism, highlighting the silent, fundamental contribution of symbolic interactionism to the methodology. At the same time, there are significant insights to be had by bringing a conscious awareness of the philosophy of symbolic interactionism to grounded theory research. In this article we discuss the symbolic interactionist concepts of mind, self, and society, and their applicability in grounded theorizing. Our purpose is to highlight foundational concepts of symbolic interactionism and their centrality in the processes of conducting grounded theory research.

Mathematical Competence of a Child - Life Success of an Adult

Directory of Open Access Journals (Sweden)

Tina Bregant

2017-10-01

Full Text Available Aims: To provide a brief overview of literature studying the relationship between mathematical competences in childhood and adult life success measured in academic achievements, socioeconomic status, and health measures. Results: Mathematical competences are determined by the ability to process mathematical symbols and quantity determination which is partially inborn. We can stimulate mathematical abilities by preschool stimulation, which leads to a less difficult behavioural pattern. Better mathematical competences correlate with positive socio-emotional control and positive attitudes towards learning and school which contribute to a more engaged academic life-style. Higher mathematical achievements correlate with better paid positions and also increased gross domestic product (GDP on the national level. The Study of Mathematically Precocious Youth showed that their adult careers, accomplishments, and psychological well-being far exceeded base-rate expectations. On the other hand, children who are born preterm or near term experience mathematical learning difficulties which, despite the absence of overt health problems, present an obstacle into leading an otherwise fulfilling life. Conclusions: We can conclude from the findings, that mathematical precocity early in life predicts later creative contributions and leadership in critical occupational roles. Mathematical abilities are partially inborn. However, mathematical literacy can be further nurtured in preschool and school programmes. Since it is connected to a higher prosperity on individual as well as on national level, mathematical intervention should be offered especially to those who are underprivileged. When stimulating mathematical competences, a greater prosperity for all can be anticipated.

Multi-core symbolic bisimulation minimisation

OpenAIRE

Dijk, Tom van; Pol, Jaco van de

2017-01-01

We introduce parallel symbolic algorithms for bisimulation minimisation, to combat the combinatorial state space explosion along three different paths. Bisimulation minimisation reduces a transition system to the smallest system with equivalent behaviour. We consider strong and branching bisimilarity for interactive Markov chains, which combine labelled transition systems and continuous-time Markov chains. Large state spaces can be represented concisely by symbolic techniques, based on binary...

Sound-symbolism boosts novel word learning

NARCIS (Netherlands)

Lockwood, G.F.; Dingemanse, M.; Hagoort, P.

2016-01-01

The existence of sound-symbolism (or a non-arbitrary link between form and meaning) is well-attested. However, sound-symbolism has mostly been investigated with nonwords in forced choice tasks, neither of which are representative of natural language. This study uses ideophones, which are naturally

Symbolic dynamics of the Lorenz equations

International Nuclear Information System (INIS)

Fang Hai-ping; Hao Bailin.

1994-07-01

The Lorenz equations are investigated in a wide range of parameters by using the method of symbolic dynamics. First, the systematics of stable periodic orbits in the Lorenz equations is compared with that of the one-dimensional cubic map, which shares the same discrete symmetry with the Lorenz model. The systematics is then ''corrected'' in such a way as to encompass all the known periodic windows of the Lorenz equations with only one exception. Second, in order to justify the above approach and to understand the exceptions, another 1D map with a discontinuity is extracted from an extension of the geometric Lorenz attractor and its symbolic dynamics is constructed. All this has to be done in light of symbolic dynamics of two-dimensional maps. Finally, symbolic dynamics for the actual Poincare return map of the Lorenz equations is constructed in a heuristic way. New periodic windows of the Lorenz equations and their parameters can be predicted from this symbolic dynamics in combination with the 1D cubic map. The extended geometric 2D Lorenz map and the 1D antisymmetric map with a discontinuity describe the topological aspects of the Lorenz equations to high accuracy. (author). 44 refs, 17 figs, 8 tabs

Symbolics in control design: prospects and research issues

DEFF Research Database (Denmark)

Christensen, Anders

1994-01-01

The symbolic processor is targeted as a novel basic service in computer aided control system design. Basic symbolic tools are exemplified. A design process model is formulated for control design, with subsets manipulator, tools, target and goals. It is argued, that symbolic processing will give...... substantial contributions to future design environments, as it provides flexibility of representation not possible with traditional numerics. Based on the design process, views on research issues in the incorporation of symbolic processing into traditional numerical design environments are given...

Mythology, Weltanschauung, symbolic universe and states of consciousness

Directory of Open Access Journals (Sweden)

Gert Malan

2016-07-01

Full Text Available This article investigates whether different religious (mythological worldviews can be described as alternative and altered states of consciousness (ASCs. Differences between conscious and unconscious motivations for behaviour are discussed before looking at ASCs, Weltanschauung and symbolic universes. Mythology can be described both as Weltanschauung and symbolic universe, functioning on all levels of consciousness. Different Weltanschauungen constitute alternative states of consciousness. Compared to secular worldviews, religious worldviews may be described as ASCs. Thanks to our globalised modern societies, the issue is even more complex, as alternate modernities lead to a symbolic multiverse, with individuals living in a social multiverse. Keyowrds: mythology; Weltanschauung; worldview; symbolic universe; states of consciousness; altered states of consciousness; alternative states of consciousness; symbolic multiverse; social multiverse

Mathematics for the Student Scientist

Science.gov (United States)

Lauten, A. Darien; Lauten, Gary N.

1998-03-01

The Earth Day:Forest Watch Program, introduces elementary, middle, and secondary students to field laboratory, and satellite-data analysis methods for assessing the health of Eastern White Pine ( Pinus strobus). In this Student-Scientist Partnership program, mathematics, as envisioned in the NCTM Standards, arises naturally and provides opportunities for science-mathematics interdisciplinary student learning. School mathematics becomes the vehicle for students to quantify, represent, analyze, and interpret meaningful, real data.

Students Thinking Process in Compiling Mathematical Proof with Semantics Strategy

Directory of Open Access Journals (Sweden)

Abdussakir Abdussakir

2015-03-01

Full Text Available Proses Berpikir Mahasiswa dalam Menyusun Bukti Matematis dengan Strategi Semantik   Abstract: This study is aimed to reveal the thinking process in proof construction performed by students with semantic strategy. This study use descriptive-qualitative approach. The thinking process of students will be analyzed using theoretical framework of David Tall about the three worlds of mathematical thinking. The result are three ways of thinking in semantic strategy, namely (1 started from formal world  then move into the symbolic or embodied-symbolic world with possibility of more than once and ends within or outside of the formal world, (2 started from symbolic world or embodied-symbolic world then move to the formal world with possibility of more than once and ends within or outside of the formal world, and (3 all thinking processes performed outside of formal world that does not obtain formal proof. Key Words: thinking process, mathematical proof, semantic strategy   Abstrak: Penelitian ini bertujuan untuk menjelaskan proses berpikir mahasiswa dalam menyusun bukti matematis dengan strategi semantik. Penelitian ini menggunakan pendekatan deskiptif-kualitatif. Analisis data dilakukan dengan menggunakan kerangka kerja David Tall tentang tiga dunia berpikir matematik. Hasil penelitian menunjukkan bahwa terdapat enam kemungkinan jalur dalam strategi semantik ditinjau dari teori tiga dunia berpikir matematis. Hasil penelitian menunjukkan ada tiga jalur berpikir mahasiswa dalam menyusun bukti matematis dengan strategi semantik, yaitu (1 bermula dari dunia berpikir formal berpindah ke dunia berpikir wujud-simbolik atau dunia berpikir simbolik dengan proses perpindahan dimungkinkan lebih dari satu kali dan berakhir di dalam atau di luar dunia berpikir formal, (2 bermula dari dunia berpikir wujud simbolik atau dunia berpikir simbolik (non RSP lalu pindah ke dunia berpikir formal dengan proses perpindahan dimungkinkan lebih dari satu kali dan berakhir di

Handwriting generates variable visual input to facilitate symbol learning

Science.gov (United States)

Li, Julia X.; James, Karin H.

2015-01-01

Recent research has demonstrated that handwriting practice facilitates letter categorization in young children. The present experiments investigated why handwriting practice facilitates visual categorization by comparing two hypotheses: That handwriting exerts its facilitative effect because of the visual-motor production of forms, resulting in a direct link between motor and perceptual systems, or because handwriting produces variable visual instances of a named category in the environment that then changes neural systems. We addressed these issues by measuring performance of 5 year-old children on a categorization task involving novel, Greek symbols across 6 different types of learning conditions: three involving visual-motor practice (copying typed symbols independently, tracing typed symbols, tracing handwritten symbols) and three involving visual-auditory practice (seeing and saying typed symbols of a single typed font, of variable typed fonts, and of handwritten examples). We could therefore compare visual-motor production with visual perception both of variable and similar forms. Comparisons across the six conditions (N=72) demonstrated that all conditions that involved studying highly variable instances of a symbol facilitated symbol categorization relative to conditions where similar instances of a symbol were learned, regardless of visual-motor production. Therefore, learning perceptually variable instances of a category enhanced performance, suggesting that handwriting facilitates symbol understanding by virtue of its environmental output: supporting the notion of developmental change though brain-body-environment interactions. PMID:26726913

Integrated Spreadsheets as a Paradigm of Type II Technology Applications in Mathematics Teacher Education

Science.gov (United States)

Abramovich, Sergei

2016-01-01

The paper presents the use of spreadsheets integrated with digital tools capable of symbolic computations and graphic constructions in a master's level capstone course for secondary mathematics teachers. Such use of spreadsheets is congruent with the Type II technology applications framework aimed at the development of conceptual knowledge in the…

Representations of Numerical and Non-Numerical Magnitude Both Contribute to Mathematical Competence in Children

Science.gov (United States)

Lourenco, Stella F.; Bonny, Justin W.

2017-01-01

A growing body of evidence suggests that non-symbolic representations of number, which humans share with nonhuman animals, are functionally related to uniquely human mathematical thought. Other research suggesting that numerical and non-numerical magnitudes not only share analog format but also form part of a general magnitude system raises…

CHRISTIAN SYMBOLISM IN FYODOR DOSTOEVSKY'S NOVEL "THE POSSESSED" ("DEMONS"

Directory of Open Access Journals (Sweden)

Sergei Leonidovich Sharakov

2013-11-01

Full Text Available The article raises a question of Christian symbolism in Fyodor Dostoevsky’s novel The Possessed (Demons. The introductory part identifies the purpose of a symbol in Christian poetics through the parallel with ancient symbolism. The author makes a conclusion that the functional role of a symbol in the ancient world and Christian tradition is different. Therefore, the ancient symbol involves a number of interrelated categories, such as fate, intuition or conjecture, inspiration, and predictions. Christian symbolism is based on the idea of redemption and moral innocence. Methodologically, the article is based on a cultural and historical approach, as well as on the comparative academic tradition. The overview of Dostoyevsky’s pre-materials for The Possessed (Demons enables us to suggest the use of Christian symbolism in this novel. Hence, the objective of the study is to investigate a composition of images and symbols in this piece of writing, with a special focus on the image of a chronicler since the storyline of the novel is developed through his perception. We make a supposition that there are several levels of Gospel perception in the artistic vision or consciousness of the chronicler, that form the basis of the symbolical composition of the novel. The article sequentially examines the examples of Christian symbolism, including the connection of ideas, characters and storylines of the novel with the Gospel. Then it gives evidence and reasons for the thesis that the Gospel gives the characters of the novel the grounds for shaping their destiny.

Examining the Nexus between Grounded Theory and Symbolic Interactionism

OpenAIRE

P. Jane Milliken RN, PhD; Rita Schreiber RN, DNS

2012-01-01

Grounded theory is inherently symbolic interactionist; however, not all grounded theory researchers appreciate its importance or benefit from its influence. Elsewhere, we have written about the intrinsic relationship between grounded theory and symbolic interactionism, highlighting the silent, fundamental contribution of symbolic interactionism to the methodology. At the same time, there are significant insights to be had by bringing a conscious awareness of the philosophy of symbolic interac...

Mathematics as a laboratory tool dynamics, delays and noise

CERN Document Server

Milton, John

2014-01-01

The importance of mathematics in the undergraduate biology curriculum is ever increasing, as is the importance of biology within the undergraduate applied mathematics curriculum. This ambitious forward thinking book  strives to make concrete  connections between the two fields at the undergraduate level, bringing in a wide variety of mathematical  methods  such as  signal processing, systems identification, and stochastic differential equations to an undergraduate audience interested in biological dynamics. The presentation stresses a practical hands-on approach: important concepts are introduced using linear first- or second-order differential equations that can be solved using “pencil and paper”; next, these are extended to “real world” applications through the use of computer algorithms written in Scientific Python or similar software. This book developed from a course taught by Professor John Milton at the University of Chicago and developed and continued over many years with Professor Toru O...

Laboratory of Biological Modeling

Data.gov (United States)

Federal Laboratory Consortium — The Laboratory of Biological Modeling is defined by both its methodologies and its areas of application. We use mathematical modeling in many forms and apply it to a...

Teaching mathematics creatively in the junior secondary classes ...

African Journals Online (AJOL)

This paper tried to emphasize the importance of teaching mathematics with creativity in the Junior Secondary classes (JS1-3) of our education system. It was established that a mathematically creative environment like the mathematics laboratory will enhance the teaching and learning of mathematics in schools. In this study ...

Exploring the Development of Symbolic Function of Consciousness: A Technique

Directory of Open Access Journals (Sweden)

Polyakov A.M.,

2016-07-01

Full Text Available This article describes studying method which developed the symbolic function mind. It is defined as a functional unit providing the solution of problems by understanding and expression of the reality of the subject-subject relationship using symbols. The symbol understood as a cultural form of presen- tation of subjective reality, mediating the relationship and interaction between two or more subjects. The symbol consists of sense-perception of form and meaning, expressing a subjective reality. The structure of the symbolic function includes the following components: generation and implementation plan, the transformation of symbolic forms, the awareness of the antinomic character, character interpretation. Investigation techiques was developed in accordance with the principles of construction of experimental-genetic method. Empirical criteria for evaluating the level of its development was based on the structure of the symbolic function, and developed a system of assistance for the realization of symbolic meaning. The method allows determine the dynamics and conditions for the development of the symbolic function, its genetic makeup, as well as the form and content of cooperation with con- temporaries.

The Symbolic Meaning of Legal Subjectivity

NARCIS (Netherlands)

Pessers, D.; van Klink, B.; van Beers, B.; Poort, L.

2016-01-01

The legitimacy of the law is not to be found, as is often claimed, in procedural justice, but in the core function of the law: the symbolic insertion of every new generation into the community of legal subjects. This symbolic function is most ambitiously expressed in the Universal Declaration of

Symbolic computer vector analysis

Science.gov (United States)

Stoutemyer, D. R.

1977-01-01

A MACSYMA program is described which performs symbolic vector algebra and vector calculus. The program can combine and simplify symbolic expressions including dot products and cross products, together with the gradient, divergence, curl, and Laplacian operators. The distribution of these operators over sums or products is under user control, as are various other expansions, including expansion into components in any specific orthogonal coordinate system. There is also a capability for deriving the scalar or vector potential of a vector field. Examples include derivation of the partial differential equations describing fluid flow and magnetohydrodynamics, for 12 different classic orthogonal curvilinear coordinate systems.

JINGLE: THE SOUNDING SYMBOL

Directory of Open Access Journals (Sweden)

Bysko Maxim V.

2013-12-01

Full Text Available The article considers the role of jingles in the industrial era, from the occurrence of the regular radio broadcasting, sound films and television up of modern video games, audio and video podcasts, online broadcasts, and mobile communications. Jingles are researched from the point of view of the theory of symbols: the forward motion is detected in the process of development of jingles from the social symbols (radio callsigns to the individual signs-images (ringtones. The role of technical progress in the formation of jingles as important cultural audio elements of modern digital civilization.

Information decomposition method to analyze symbolical sequences

International Nuclear Information System (INIS)

Korotkov, E.V.; Korotkova, M.A.; Kudryashov, N.A.

2003-01-01

The information decomposition (ID) method to analyze symbolical sequences is presented. This method allows us to reveal a latent periodicity of any symbolical sequence. The ID method is shown to have advantages in comparison with application of the Fourier transformation, the wavelet transform and the dynamic programming method to look for latent periodicity. Examples of the latent periods for poetic texts, DNA sequences and amino acids are presented. Possible origin of a latent periodicity for different symbolical sequences is discussed

The Rhetoric of Disenchantment through Symbolism

Science.gov (United States)

Munyangeyo, Théophile

2012-01-01

The symbolism of "flowers" has always been a significant part of cultures around the world due to their functional meaning in daily life. From their decorative to their aromatic role, flowers and their symbolic meaning trigger emotions, convey wishes and represent thoughts that can not be explicitly expressed. In this regard, an…

Carrier tracking by smoothing filter improves symbol SNR

Science.gov (United States)

Pomalaza-Raez, Carlos A.; Hurd, William J.

1986-01-01

The potential benefit of using a smoothing filter to estimate carrier phase over use of phase locked loops (PLL) is determined. Numerical results are presented for the performance of three possible configurations of the deep space network advanced receiver. These are residual carrier PLL, sideband aided residual carrier PLL, and finally sideband aiding with a Kalman smoother. The average symbol signal to noise ratio (SNR) after losses due to carrier phase estimation error is computed for different total power SNRs, symbol rates and symbol SNRs. It is found that smoothing is most beneficial for low symbol SNRs and low symbol rates. Smoothing gains up to 0.4 dB over a sideband aided residual carrier PLL, and the combined benefit of smoothing and sideband aiding relative to a residual carrier loop is often in excess of 1 dB.

A practical approach for writer-dependent symbol recognition using a writer-independent symbol recognizer.

Science.gov (United States)

LaViola, Joseph J; Zeleznik, Robert C

2007-11-01

We present a practical technique for using a writer-independent recognition engine to improve the accuracy and speed while reducing the training requirements of a writer-dependent symbol recognizer. Our writer-dependent recognizer uses a set of binary classifiers based on the AdaBoost learning algorithm, one for each possible pairwise symbol comparison. Each classifier consists of a set of weak learners, one of which is based on a writer-independent handwriting recognizer. During online recognition, we also use the n-best list of the writer-independent recognizer to prune the set of possible symbols and thus reduce the number of required binary classifications. In this paper, we describe the geometric and statistical features used in our recognizer and our all-pairs classification algorithm. We also present the results of experiments that quantify the effect incorporating a writer-independent recognition engine into a writer-dependent recognizer has on accuracy, speed, and user training time.

Graphic Symbols as "The Mind on Paper": Links between Children's Interpretive Theory of Mind and Symbol Understanding

Science.gov (United States)

Myers, Lauren J.; Liben, Lynn S.

2012-01-01

Children gradually develop interpretive theory of mind (iToM)--the understanding that different people may interpret identical events or stimuli differently. The present study tested whether more advanced iToM underlies children's recognition that map symbols' meanings must be communicated to others when symbols are iconic (resemble their…

Handwriting generates variable visual output to facilitate symbol learning.

Science.gov (United States)

Li, Julia X; James, Karin H

2016-03-01

Recent research has demonstrated that handwriting practice facilitates letter categorization in young children. The present experiments investigated why handwriting practice facilitates visual categorization by comparing 2 hypotheses: that handwriting exerts its facilitative effect because of the visual-motor production of forms, resulting in a direct link between motor and perceptual systems, or because handwriting produces variable visual instances of a named category in the environment that then changes neural systems. We addressed these issues by measuring performance of 5-year-old children on a categorization task involving novel, Greek symbols across 6 different types of learning conditions: 3 involving visual-motor practice (copying typed symbols independently, tracing typed symbols, tracing handwritten symbols) and 3 involving visual-auditory practice (seeing and saying typed symbols of a single typed font, of variable typed fonts, and of handwritten examples). We could therefore compare visual-motor production with visual perception both of variable and similar forms. Comparisons across the 6 conditions (N = 72) demonstrated that all conditions that involved studying highly variable instances of a symbol facilitated symbol categorization relative to conditions where similar instances of a symbol were learned, regardless of visual-motor production. Therefore, learning perceptually variable instances of a category enhanced performance, suggesting that handwriting facilitates symbol understanding by virtue of its environmental output: supporting the notion of developmental change though brain-body-environment interactions. (PsycINFO Database Record (c) 2016 APA, all rights reserved).

On the Symbol Error Rate of M-ary MPSK over Generalized Fading Channels with Additive Laplacian Noise

KAUST Repository

Soury, Hamza

2015-01-07

This work considers the symbol error rate of M-ary phase shift keying (MPSK) constellations over extended Generalized-K fading with Laplacian noise and using a minimum distance detector. A generic closed form expression of the conditional and the average probability of error is obtained and simplified in terms of the Fox’s H function. More simplifications to well known functions for some special cases of fading are also presented. Finally, the mathematical formalism is validated with some numerical results examples done by computer based simulations [1].

On the Symbol Error Rate of M-ary MPSK over Generalized Fading Channels with Additive Laplacian Noise

KAUST Repository

Soury, Hamza; Alouini, Mohamed-Slim

2015-01-01

This work considers the symbol error rate of M-ary phase shift keying (MPSK) constellations over extended Generalized-K fading with Laplacian noise and using a minimum distance detector. A generic closed form expression of the conditional and the average probability of error is obtained and simplified in terms of the Fox’s H function. More simplifications to well known functions for some special cases of fading are also presented. Finally, the mathematical formalism is validated with some numerical results examples done by computer based simulations [1].

Television Commercials: Symbols, Myths and Metaphors.

Science.gov (United States)

Feasley, Florence G.

Television commercials convey to the audience through symbols, metaphors, and myths the feelings and emotions deeply rooted in our culture. While commercials on one level are concerned with a representation of the product or service, they are on another level a symbol of a larger meaning: love, family, romance, motherhood, or hero worship. A can…

Symbol-stream Combiner: Description and Demonstration Plans

Science.gov (United States)

Hurd, W. J.; Reder, L. J.; Russell, M. D.

1984-01-01

A system is described and demonstration plans presented for antenna arraying by symbol stream combining. This system is used to enhance the signal-to-noise ratio of a spacecraft signals by combining the detected symbol streams from two or more receiving stations. Symbol stream combining has both cost and performance advantages over other arraying methods. Demonstrations are planned on Voyager 2 both prior to and during Uranus encounter. Operational use is possible for interagency arraying of non-Deep Space Network stations at Neptune encounter.

A Dynamic Perspective on Symbolic Co-branding

DEFF Research Database (Denmark)

von Wallpach, Sylvia; Backhausen, Mia

2016-01-01

brand’s meaning—a challenge that is accentuated when multiple brands form alliances. Focusing on symbolic co-branding, this paper aims to understand how involved brands’ meaning arises from discursive interactions in stakeholder networks (including brand management). A netnographic study in the context...... of lifestyle and fashion blogs provides in-depth insights into the evolvement of two symbolic co-branding processes. The results highlight various stakeholders’ role in and discursive strategies of creating and transferring meaning between involved brands and add unprecedented insights into symbolic co-branding...

Generating and Solving Symbolic Parity Games

Directory of Open Access Journals (Sweden)

Gijs Kant

2014-07-01

Full Text Available We present a new tool for verification of modal mu-calculus formulae for process specifications, based on symbolic parity games. It enhances an existing method, that first encodes the problem to a Parameterised Boolean Equation System (PBES and then instantiates the PBES to a parity game. We improved the translation from specification to PBES to preserve the structure of the specification in the PBES, we extended LTSmin to instantiate PBESs to symbolic parity games, and implemented the recursive parity game solving algorithm by Zielonka for symbolic parity games. We use Multi-valued Decision Diagrams (MDDs to represent sets and relations, thus enabling the tools to deal with very large systems. The transition relation is partitioned based on the structure of the specification, which allows for efficient manipulation of the MDDs. We performed two case studies on modular specifications, that demonstrate that the new method has better time and memory performance than existing PBES based tools and can be faster (but slightly less memory efficient than the symbolic model checker NuSMV.

Combining metric episodes with semantic event concepts within the Symbolic and Sub-Symbolic Robotics Intelligence Control System (SS-RICS)

Science.gov (United States)

Kelley, Troy D.; McGhee, S.

2013-05-01

This paper describes the ongoing development of a robotic control architecture that inspired by computational cognitive architectures from the discipline of cognitive psychology. The Symbolic and Sub-Symbolic Robotics Intelligence Control System (SS-RICS) combines symbolic and sub-symbolic representations of knowledge into a unified control architecture. The new architecture leverages previous work in cognitive architectures, specifically the development of the Adaptive Character of Thought-Rational (ACT-R) and Soar. This paper details current work on learning from episodes or events. The use of episodic memory as a learning mechanism has, until recently, been largely ignored by computational cognitive architectures. This paper details work on metric level episodic memory streams and methods for translating episodes into abstract schemas. The presentation will include research on learning through novelty and self generated feedback mechanisms for autonomous systems.

Basic Phage Mathematics.

Science.gov (United States)

Abedon, Stephen T; Katsaounis, Tena I

2018-01-01

Basic mathematical descriptions are useful in phage ecology, applied phage ecology such as in the course of phage therapy, and also toward keeping track of expected phage-bacterial interactions as seen during laboratory manipulation of phages. The most basic mathematical descriptor of phages is their titer, that is, their concentration within stocks, experimental vessels, or other environments. Various phenomena can serve to modify phage titers, and indeed phage titers can vary as a function of how they are measured. An important aspect of how changes in titers can occur results from phage interactions with bacteria. These changes tend to vary in degree as a function of bacterial densities within environments, and particularly densities of those bacteria that are susceptible to or at least adsorbable by a given phage type. Using simple mathematical models one can describe phage-bacterial interactions that give rise particularly to phage adsorption events. With elaboration one can consider changes in both phage and bacterial densities as a function of both time and these interactions. In addition, phages along with their impact on bacteria can be considered as spatially constrained processes. In this chapter we consider the simpler of these concepts, providing in particular detailed verbal explanations toward facile mathematical insight. The primary goal is to stimulate a more informed use and manipulation of phages and phage populations within the laboratory as well as toward more effective phage application outside of the laboratory, such as during phage therapy. More generally, numerous issues and approaches to the quantification of phages are considered along with the quantification of individual, ecological, and applied properties of phages.

Analytical derivation: An epistemic game for solving mathematically based physics problems

Science.gov (United States)

Bajracharya, Rabindra R.; Thompson, John R.

2016-06-01

Problem solving, which often involves multiple steps, is an integral part of physics learning and teaching. Using the perspective of the epistemic game, we documented a specific game that is commonly pursued by students while solving mathematically based physics problems: the analytical derivation game. This game involves deriving an equation through symbolic manipulations and routine mathematical operations, usually without any physical interpretation of the processes. This game often creates cognitive obstacles in students, preventing them from using alternative resources or better approaches during problem solving. We conducted hour-long, semi-structured, individual interviews with fourteen introductory physics students. Students were asked to solve four "pseudophysics" problems containing algebraic and graphical representations. The problems required the application of the fundamental theorem of calculus (FTC), which is one of the most frequently used mathematical concepts in physics problem solving. We show that the analytical derivation game is necessary, but not sufficient, to solve mathematically based physics problems, specifically those involving graphical representations.

Symbol Recognition using Spatial Relations

OpenAIRE

K.C., Santosh; Lamiroy, Bart; Wendling, Laurent

2012-01-01

International audience; In this paper, we present a method for symbol recognition based on the spatio-structural description of a 'vocabulary' of extracted visual elementary parts. It is applied to symbols in electrical wiring diagrams. The method consists of first identifying vocabulary elements into different groups based on their types (e.g., circle, corner ). We then compute spatial relations between the possible pairs of labelled vocabulary types which are further used as a basis for bui...

New Map Symbol System for Disaster Management

Science.gov (United States)

Marinova, Silvia T.

2018-05-01

In the last 10 years Bulgaria was frequently affected by natural and man-made disasters that caused considerable losses. According to the Bulgarian Disaster Management Act (2006) disaster management should be planned at local, regional and national level. Disaster protection is based on plans that include maps such as hazard maps, maps for protection, maps for evacuation planning, etc. Decision-making and cooperation between two or more neighboring municipalities or regions in crisis situation are still rendered difficult because the maps included in the plans differ in scale, colors, map symbols and cartographic design. To improve decision-making process in case of emergency and to reduce the number of human loss and property damages disaster management plans at local and regional level should be supported by detailed thematic maps created in accordance with uniform contents, map symbol system and design. The paper proposes a new symbol system for disaster management that includes a four level hierarchical classification of objects and phenomena according to their type and origin. All objects and phenomena of this classification are divided into five categories: disasters; infrastructure; protection services and infrastructure for protection; affected people and affected infrastructure; operational sites and activities. The symbols of these categories are shown with different background colors and shapes so that they are identifiable. All the symbols have simple but associative design. The new symbol system is used in the design of a series of maps for disaster management at local and regional level.

Efficient Bit-to-Symbol Likelihood Mappings

Science.gov (United States)

Moision, Bruce E.; Nakashima, Michael A.

2010-01-01

This innovation is an efficient algorithm designed to perform bit-to-symbol and symbol-to-bit likelihood mappings that represent a significant portion of the complexity of an error-correction code decoder for high-order constellations. Recent implementation of the algorithm in hardware has yielded an 8- percent reduction in overall area relative to the prior design.

Multiple symbol differential detection of uncoded and trellis coded MPSK

Science.gov (United States)

Divsalar, Dariush; Simon, Marvin K.; Shahshahani, Mehrdad

1989-01-01

A differential detection for MPSK, which uses a multiple symbol observation interval, is presented and its performance analyzed and simulated. The technique makes use of maximum-likelihood sequence estimation of the transmitted phases rather than symbol-by-symbol detection as in conventional differential detection. As such the performance of this multiple symbol detection scheme fills the gap between conventional (two-symbol observation) differentially coherent detection of MPSK and ideal coherent of MPSK with differential encoding. The amount of improvement gained over conventional differential detection depends on the number of phases, M, and the number of additional symbol intervals added to the observation. What is particularly interesting is that substantial performance improvement can be obtained for only one or two additional symbol intervals of observation. The analysis and simulation results presented are for uncoded and trellis coded MPSK.

Graphic Symbol Recognition using Graph Based Signature and Bayesian Network Classifier

OpenAIRE

Luqman, Muhammad Muzzamil; Brouard, Thierry; Ramel, Jean-Yves

2010-01-01

We present a new approach for recognition of complex graphic symbols in technical documents. Graphic symbol recognition is a well known challenge in the field of document image analysis and is at heart of most graphic recognition systems. Our method uses structural approach for symbol representation and statistical classifier for symbol recognition. In our system we represent symbols by their graph based signatures: a graphic symbol is vectorized and is converted to an attributed relational g...

When math operations have visuospatial meanings versus purely symbolic definitions: Which solving stages and brain regions are affected?

Science.gov (United States)

Pyke, Aryn A; Fincham, Jon M; Anderson, John R

2017-06-01

How does processing differ during purely symbolic problem solving versus when mathematical operations can be mentally associated with meaningful (here, visuospatial) referents? Learners were trained on novel math operations (↓, ↑), that were defined strictly symbolically or in terms of a visuospatial interpretation (operands mapped to dimensions of shaded areas, answer = total area). During testing (scanner session), no visuospatial representations were displayed. However, we expected visuospatially-trained learners to form mental visuospatial representations for problems, and exhibit distinct activations. Since some solution intervals were long (~10s) and visuospatial representations might only be instantiated in some stages during solving, group differences were difficult to detect when treating the solving interval as a whole. However, an HSMM-MVPA process (Anderson and Fincham, 2014a) to parse fMRI data identified four distinct problem-solving stages in each group, dubbed: 1) encode; 2) plan; 3) compute; and 4) respond. We assessed stage-specific differences across groups. During encoding, several regions implicated in general semantic processing and/or mental imagery were more active in visuospatially-trained learners, including: bilateral supramarginal, precuneus, cuneus, parahippocampus, and left middle temporal regions. Four of these regions again emerged in the computation stage: precuneus, right supramarginal/angular, left supramarginal/inferior parietal, and left parahippocampal gyrus. Thus, mental visuospatial representations may not just inform initial problem interpretation (followed by symbolic computation), but may scaffold on-going computation. In the second stage, higher activations were found among symbolically-trained solvers in frontal regions (R. medial and inferior and L. superior) and the right angular and middle temporal gyrus. Activations in contrasting regions may shed light on solvers' degree of use of symbolic versus mental

Formalising Symbolic Interactionism

NARCIS (Netherlands)

de Nooy, W.

2009-01-01

Symbolic interactionism is generally known as a theory typically linked with a qualitative methodology. Recent developments in quantitative social network analysis, however, can analyze processes theorized within this theoretical tradition. Thick description can be complemented with statistical

SYMBOLIC LANDSCAPE OF CONSCIOUSNESS: MAN BETWEEN REPRESENTATIONALISM, FUNCTIONALISM AND RELATIVISM

Directory of Open Access Journals (Sweden)

P. V. Kretov

2017-12-01

Full Text Available Purpose. The aim of the study is to clarify the changed interpretation of symbol in the context of the ontological turn in cultural anthropology and philosophical anthropology and their correlation with the functioning of the semantic field of culture, and in particular with religious symbols. The paper also considers an epistemological-ideological positions of representationalism, functionalism and relativism with respect to philosopheme of symbol. Methodology. The authors implemented theoretical and conceptual analysis in synchronic and diachronic aspects, the methodology of comparative consideration of the character within the analytical and existential paradigms in the 20th century philosophy. Originality. The work presents the study of correlation between aspect consideration of the nature and specific character in representationalism, functionalism and relativism within the philosophical projects of the cognitive position. The authors substantiated the position of symbol ontologization in the contemporary cultural and philosophical anthropology and the importance of convergence of the symbol concept and philosopheme with the concepts of an object and a thing. They fixed the value of the ontological turn in cultural anthropology for philosophical anthropology. The authors specifically examined the correlation between the declared symbol interpretation, project of object-oriented ontology and the modern philosophy of science. They substantiated ontological concept of symbolic landscape of modern philosophical anthropology, social philosophy and philosophy of mind. The symbol and religious symbolism have the significant importance for human identity, the symbol is considered to be the tool of human’s self-knowledge. Conclusions. The paper outlines the specific character of existence of symbol philosopheme in communicative field of modern man, the social media space, in particular the role of religious symbols for the construction of

Democracy and the Symbolic Constitution of Society

NARCIS (Netherlands)

Lindahl, H.K.

1998-01-01

Abstract. Building on Cassirer's philosophy of symbolic forms, this paper argues that the continuities and discontinuities characterizing the passage from medieval politics to modern democracy can best be understood by reference to political power's symbolic structure. For the one, political power,

17 CFR 232.306 - Foreign language documents and symbols.

Science.gov (United States)

2010-04-01

... symbols. 232.306 Section 232.306 Commodity and Securities Exchanges SECURITIES AND EXCHANGE COMMISSION... § 232.306 Foreign language documents and symbols. (a) All electronic filings and submissions must be in... words or letters in the English language rather than representative symbols, except that HTML documents...

Symbol manipulation and rule learning in spiking neuronal networks.

Science.gov (United States)

Fernando, Chrisantha

2011-04-21

It has been claimed that the productivity, systematicity and compositionality of human language and thought necessitate the existence of a physical symbol system (PSS) in the brain. Recent discoveries about temporal coding suggest a novel type of neuronal implementation of a physical symbol system. Furthermore, learning classifier systems provide a plausible algorithmic basis by which symbol re-write rules could be trained to undertake behaviors exhibiting systematicity and compositionality, using a kind of natural selection of re-write rules in the brain, We show how the core operation of a learning classifier system, namely, the replication with variation of symbol re-write rules, can be implemented using spike-time dependent plasticity based supervised learning. As a whole, the aim of this paper is to integrate an algorithmic and an implementation level description of a neuronal symbol system capable of sustaining systematic and compositional behaviors. Previously proposed neuronal implementations of symbolic representations are compared with this new proposal. Copyright © 2011 Elsevier Ltd. All rights reserved.

Automatic Generation of Symbolic Model for Parameterized Synchronous Systems

Institute of Scientific and Technical Information of China (English)

Wei-Wen Xu

2004-01-01

With the purpose of making the verification of parameterized system more general and easier, in this paper, a new and intuitive language PSL (Parameterized-system Specification Language) is proposed to specify a class of parameterized synchronous systems. From a PSL script, an automatic method is proposed to generate a constraint-based symbolic model. The model can concisely symbolically represent the collections of global states by counting the number of processes in a given state. Moreover, a theorem has been proved that there is a simulation relation between the original system and its symbolic model. Since the abstract and symbolic techniques are exploited in the symbolic model, state-explosion problem in traditional verification methods is efficiently avoided. Based on the proposed symbolic model, a reachability analysis procedure is implemented using ANSI C++ on UNIX platform. Thus, a complete tool for verifying the parameterized synchronous systems is obtained and tested for some cases. The experimental results show that the method is satisfactory.

Developmental change in children's sensitivity to sound symbolism.

Science.gov (United States)

Tzeng, Christina Y; Nygaard, Lynne C; Namy, Laura L

2017-08-01

The current study examined developmental change in children's sensitivity to sound symbolism. Three-, five-, and seven-year-old children heard sound symbolic novel words and foreign words meaning round and pointy and chose which of two pictures (one round and one pointy) best corresponded to each word they heard. Task performance varied as a function of both word type and age group such that accuracy was greater for novel words than for foreign words, and task performance increased with age for both word types. For novel words, children in all age groups reliably chose the correct corresponding picture. For foreign words, 3-year-olds showed chance performance, whereas 5- and 7-year-olds showed reliably above-chance performance. Results suggest increased sensitivity to sound symbolic cues with development and imply that although sensitivity to sound symbolism may be available early and facilitate children's word-referent mappings, sensitivity to subtler sound symbolic cues requires greater language experience. Copyright © 2017 Elsevier Inc. All rights reserved.

Inter-Symbol Guard Time for Synchronizing Optical PPM

Science.gov (United States)

Far, William; Gin, Jonathan; Srinivasan, Meera; Quirk, Kevin

2009-01-01

An inter-symbol guard time has been proposed as a means of synchronizing the symbol and slot clocks of an optical pulse-position modulation (PPM) receiver with the symbol and slot periods of an incoming optical PPM signal.The proposal is applicable to the low-flux case in which the receiver photodetector operates in a photon-counting mode and the count can include contributions from incidental light sources and dark current.

Anomalous diffusion in a symbolic model

International Nuclear Information System (INIS)

Ribeiro, H V; Lenzi, E K; Mendes, R S; Santoro, P A

2011-01-01

In this work, we investigate some statistical properties of symbolic sequences generated by a numerical procedure in which the symbols are repeated following the power-law probability density. In this analysis, we consider that the sum of n symbols represents the position of a particle in erratic movement. This approach reveals a rich diffusive scenario characterized by non-Gaussian distribution and, depending on the power-law exponent or the procedure used to build the walker, we may have superdiffusion, subdiffusion or usual diffusion. Additionally, we use the continuous-time random walk framework to compare the analytic results with the numerical data, thereby finding good agreement. Because of its simplicity and flexibility, this model can be a candidate for describing real systems governed by power-law probability densities.

On the symbol error rate of M-ary MPSK over generalized fading channels with additive Laplacian noise

KAUST Repository

Soury, Hamza

2014-06-01

This paper considers the symbol error rate of M-ary phase shift keying (MPSK) constellations over extended Generalized-K fading with Laplacian noise and using a minimum distance detector. A generic closed form expression of the conditional and the average probability of error is obtained and simplified in terms of the Fox\\'s H function. More simplifications to well known functions for some special cases of fading are also presented. Finally, the mathematical formalism is validated with some numerical results examples done by computer based simulations. © 2014 IEEE.

On the symbol error rate of M-ary MPSK over generalized fading channels with additive Laplacian noise

KAUST Repository

Soury, Hamza; Alouini, Mohamed-Slim

2014-01-01

This paper considers the symbol error rate of M-ary phase shift keying (MPSK) constellations over extended Generalized-K fading with Laplacian noise and using a minimum distance detector. A generic closed form expression of the conditional and the average probability of error is obtained and simplified in terms of the Fox's H function. More simplifications to well known functions for some special cases of fading are also presented. Finally, the mathematical formalism is validated with some numerical results examples done by computer based simulations. © 2014 IEEE.

Analysis of an integrated energy system under variable loads through the symbolic exergoeconomics. 1

International Nuclear Information System (INIS)

Lazzaretto, A.; Macor, A.; Mirandola, A.; Reini, M.

1992-01-01

This paper is used to analyze an energy recovery and cogenerative plant made up of a turboexpander of natural gas and two cogenerative engines. By means of a mathematical symbolic computer program, the Symbolic Exergoeconomic methodology obtains the algebraic formulae for the total plant efficiency and any other thermodynamic variable as a function of the exergetic efficiencies of the subsystems, the exergy bifurcation ratios and either the system's input or output flows. The exergy flows of the plant, obtained by the thermodynamic simulator, can be used to calculate the numerical values of the exergetic efficiencies and of the exergy bifurcation ratios. By substituting these values in the symbolic formulae it is possible to numerically evaluate the apportionment of the input resources, throughout the plant structure an its components, on the products of the plant. This is useful to determine the true utilization coefficients of each fuel and to quantify how it affects the total efficiency of the plant. Since the behavior of the plant is much different depending on the value of the gas flow rate at the inlet, the annual gas flow rate duration curve has been discretized into five steps, corresponding to four operating configurations in which different depending on the value of the gas flow rate at the inlet, the annual gas flow rate duration curve has been discretized into five steps, corresponding to four operating configurations in which different sets of components are working; the mentioned procedure has been applied to each operating configuration

Investigating middle school students’ difficulties in mathematical literacy problems level 1 and 2

Science.gov (United States)

Setiawati, S.; Herman, T.; Jupri, A.

2017-11-01

The background of this study is the lack of mathematical literacy skills of students. The proficiency of students’ mathematical literacy skills based on the results of the PISA 2015 study shows that Indonesian students at the proficiency level 1. This fact gave rise to this study which aims to investigate middle school students’ difficulties in mathematical literacy problems level 1 and 2. Qualitative research was used in this study. An individual written test on mathematical literacy problems was administered, followed by interviews. The subjects of the study were 61 students grade VII in Bandung and 26 of them were interviewed afterward. Data analysis revealed that students’ error in performing arithmetic most frequently observed. Other observed difficulties concerned understanding about algebra concept, applying arithmetic operation in algebraic expressions, and interpreting symbols to represent the unknown. In solving mathematical literacy problems, students use their prior knowledge, although sometimes not relevant to the questions. Based on the results, we suggest that mathematics learning in contextual learning and which invites students to participate in the processes of understanding the concepts.

Effects of Video Games and Online Chat on Mathematics Performance in High School: An Approach of Multivariate Data Analysis

OpenAIRE

Lina Wu; Wenyi Lu; Ye Li

2016-01-01

Regarding heavy video game players for boys and super online chat lovers for girls as a symbolic phrase in the current adolescent culture, this project of data analysis verifies the displacement effect on deteriorating mathematics performance. To evaluate correlation or regression coefficients between a factor of playing video games or chatting online and mathematics performance compared with other factors, we use multivariate analysis technique and take gender difference into account. We fin...

Influence of colour on acquisition and generalisation of graphic symbols.

Science.gov (United States)

Hetzroni, O E; Ne'eman, A

2013-07-01

Children with autism may benefit from using graphic symbols for their communication, language and literacy development. The purpose of this study was to investigate the influence of colour versus grey-scale displays on the identification of graphic symbols using a computer-based intervention. An alternating treatment design was employed to examine the learning and generalisation of 58 colour and grey-scale symbols by four preschool children with autism. The graphic symbols were taught via a meaning-based intervention using stories and educational games. Results demonstrate that all of the children were able to learn and maintain symbol identification over time for both symbol displays with no apparent differences. Differences were apparent for two of the children who exhibited better generalisation when learning grey-scale symbols first. The other two showed no noticeable difference, between displays when generalising from one display to the other. Implications and further research are discussed. © 2012 The Authors. Journal of Intellectual Disability Research © 2012 John Wiley & Sons Ltd, MENCAP & IASSID.

Cognitive Deficits and Symbolic Play in Preschoolers with Autism

Science.gov (United States)

Lam, Yan Grace; Yeung, Siu-sze Susanna

2012-01-01

This study investigated symbolic play in 12 children with autism and 12 children with typical development and compared theories that consider either theory of mind, executive function or central coherence to be causally involved in the development of symbolic play in autism. Children with autism demonstrated significantly less symbolic play than…

Social and Symbolic Capital in Firm Clusters

DEFF Research Database (Denmark)

Gretzinger, Susanne; Royer, Susanne

Based on a relational perspective this paper analyses the case of the “Mechatronics Cluster” in Southern Jutland, Denmark. We found that cluster managers are not aware of the importance of social and symbolic capital. Cluster managers could have access to both but they are not aware...... of this resource and they don´t have any knowledge how to manage social and symbolic capital. Just to integrate social-capital-supporting initiatives in the day to day business would help to develop and to foster social and symbolic capital on a low cost level. And in our example just to integrate successful sub...

Assembly processor program converts symbolic programming language to machine language

Science.gov (United States)

Pelto, E. V.

1967-01-01

Assembly processor program converts symbolic programming language to machine language. This program translates symbolic codes into computer understandable instructions, assigns locations in storage for successive instructions, and computer locations from symbolic addresses.

Low complexity symbol-wise beamforming for MIMO-OFDM systems

KAUST Repository

Lee, Hyun Ho

2011-12-01

In this paper, we consider a low complexity symbol-wise beamforming for MIMO-OFDM systems. We propose a non-iterative algorithm for the symbol-wise beamforming, which can provide the performance approaching that of the conventional symbol-wise beamforming based on the iterative algorithm. We demonstrate that our proposed scheme can reduce the computational complexity significantly. From our simulation results, it is evident that our proposed scheme leads to a negligible performance loss compared to the conventional symbol-wise beamforming regardless of spatial correlation or presence of co-channel interference. © 2011 IEEE.

Developing Conceptual Understanding and Definitional Clarity in Linear Algebra through the Three Worlds of Mathematical Thinking

Science.gov (United States)

Hannah, John; Stewart, Sepideh; Thomas, Michael

2016-01-01

Linear algebra is one of the first abstract mathematics courses that students encounter at university. Research shows that many students find the dense presentation of definitions, theorems and proofs difficult to comprehend. Using a case study approach, we report on a teaching intervention based on Tall's three worlds (embodied, symbolic and…

Inferring Mathematical Equations Using Crowdsourcing.

Directory of Open Access Journals (Sweden)

Szymon Wasik

Full Text Available Crowdsourcing, understood as outsourcing work to a large network of people in the form of an open call, has been utilized successfully many times, including a very interesting concept involving the implementation of computer games with the objective of solving a scientific problem by employing users to play a game-so-called crowdsourced serious games. Our main objective was to verify whether such an approach could be successfully applied to the discovery of mathematical equations that explain experimental data gathered during the observation of a given dynamic system. Moreover, we wanted to compare it with an approach based on artificial intelligence that uses symbolic regression to find such formulae automatically. To achieve this, we designed and implemented an Internet game in which players attempt to design a spaceship representing an equation that models the observed system. The game was designed while considering that it should be easy to use for people without strong mathematical backgrounds. Moreover, we tried to make use of the collective intelligence observed in crowdsourced systems by enabling many players to collaborate on a single solution. The idea was tested on several hundred players playing almost 10,000 games and conducting a user opinion survey. The results prove that the proposed solution has very high potential. The function generated during weeklong tests was almost as precise as the analytical solution of the model of the system and, up to a certain complexity level of the formulae, it explained data better than the solution generated automatically by Eureqa, the leading software application for the implementation of symbolic regression. Moreover, we observed benefits of using crowdsourcing; the chain of consecutive solutions that led to the best solution was obtained by the continuous collaboration of several players.

Inferring Mathematical Equations Using Crowdsourcing.

Science.gov (United States)

Wasik, Szymon; Fratczak, Filip; Krzyskow, Jakub; Wulnikowski, Jaroslaw

2015-01-01

Crowdsourcing, understood as outsourcing work to a large network of people in the form of an open call, has been utilized successfully many times, including a very interesting concept involving the implementation of computer games with the objective of solving a scientific problem by employing users to play a game-so-called crowdsourced serious games. Our main objective was to verify whether such an approach could be successfully applied to the discovery of mathematical equations that explain experimental data gathered during the observation of a given dynamic system. Moreover, we wanted to compare it with an approach based on artificial intelligence that uses symbolic regression to find such formulae automatically. To achieve this, we designed and implemented an Internet game in which players attempt to design a spaceship representing an equation that models the observed system. The game was designed while considering that it should be easy to use for people without strong mathematical backgrounds. Moreover, we tried to make use of the collective intelligence observed in crowdsourced systems by enabling many players to collaborate on a single solution. The idea was tested on several hundred players playing almost 10,000 games and conducting a user opinion survey. The results prove that the proposed solution has very high potential. The function generated during weeklong tests was almost as precise as the analytical solution of the model of the system and, up to a certain complexity level of the formulae, it explained data better than the solution generated automatically by Eureqa, the leading software application for the implementation of symbolic regression. Moreover, we observed benefits of using crowdsourcing; the chain of consecutive solutions that led to the best solution was obtained by the continuous collaboration of several players.

Symbolic analysis of spatio-temporal systems: The measurement problem

International Nuclear Information System (INIS)

Brown, R.; Tang, Xianzhu; Tracy, E.R.

1996-01-01

We consider the problem of measuring physical quantities using time-series observations. The approach taken is to validate theoretical models which are derived heuristically or from first principles. The fitting of parameters in such models constitutes the measurement. This is a basic problem in measurement science and a wide array of tools are available. However, an important gap in the present toolkit exists when the system of interest, and hence the models used, exhibit chaotic or turbulent behavior. The development of reliable schemes for analyzing such signals is necessary before one can claim to have a quantitative understanding of the underlying physics. In experimental situations, the number of independently measured time-series is limited, but the number of dynamical degrees of freedom can be large. In addition, the signals of interest will typically be embedded in a noisy background. In the symbol statistics approach, the time-series is coarse-grained and converted into a long, symbol stream. The probability of occurrence of various symbol sequences of fixed length constitutes the symbol statistics. These statistics contain a wealth of information about the underlying dynamics and, as we shall discuss, can be used to validate models. Previously, we have applied this symbolic approach to low dimensional systems with great success. The symbol statistics are robust up to noise/signal ∼20%. At higher noise levels the symbol statistics are biased, but in a relatively simple manner. By including the noise characteristics into the model, we were able to use the symbol statistics to measure parameters even when signal/noise is ∼ O(1). More recently, we have extended the symbolic approach to spatio-temporal systems. We have considered both coupled-map lattices and the complex Ginzburg-Landau equation. This equation arises generically near the onset of instabilities

A Diffusion Model Analysis of Magnitude Comparison in Children with and without Dyscalculia: Care of Response and Ability Are Related to Both Mathematical Achievement and Stimuli.

Science.gov (United States)

Szardenings, Carsten; Kuhn, Jörg-Tobias; Ranger, Jochen; Holling, Heinz

2017-01-01

The respective roles of the approximate number system (ANS) and an access deficit (AD) in developmental dyscalculia (DD) are not well-known. Most studies rely on response times (RTs) or accuracy (error rates) separately. We analyzed the results of two samples of elementary school children in symbolic magnitude comparison (MC) and non-symbolic MC using a diffusion model. This approach uses the joint distribution of both RTs and accuracy in order to synthesize measures closer to ability and response caution or response conservatism. The latter can be understood in the context of the speed-accuracy tradeoff: It expresses how much a subject trades in speed for improved accuracy. We found significant effects of DD on both ability (negative) and response caution (positive) in MC tasks and a negative interaction of DD with symbolic task material on ability. These results support that DD subjects suffer from both an impaired ANS and an AD and in particular support that slower RTs of children with DD are indeed related to impaired processing of numerical information. An interaction effect of symbolic task material and DD (low mathematical ability) on response caution could not be refuted. However, in a sample more representative of the general population we found a negative association of mathematical ability and response caution in symbolic but not in non-symbolic task material. The observed differences in response behavior highlight the importance of accounting for response caution in the analysis of MC tasks. The results as a whole present a good example of the benefits of a diffusion model analysis.

A Diffusion Model Analysis of Magnitude Comparison in Children with and without Dyscalculia: Care of Response and Ability Are Related to Both Mathematical Achievement and Stimuli

Directory of Open Access Journals (Sweden)

Carsten Szardenings

2018-01-01

Full Text Available The respective roles of the approximate number system (ANS and an access deficit (AD in developmental dyscalculia (DD are not well-known. Most studies rely on response times (RTs or accuracy (error rates separately. We analyzed the results of two samples of elementary school children in symbolic magnitude comparison (MC and non-symbolic MC using a diffusion model. This approach uses the joint distribution of both RTs and accuracy in order to synthesize measures closer to ability and response caution or response conservatism. The latter can be understood in the context of the speed-accuracy tradeoff: It expresses how much a subject trades in speed for improved accuracy. We found significant effects of DD on both ability (negative and response caution (positive in MC tasks and a negative interaction of DD with symbolic task material on ability. These results support that DD subjects suffer from both an impaired ANS and an AD and in particular support that slower RTs of children with DD are indeed related to impaired processing of numerical information. An interaction effect of symbolic task material and DD (low mathematical ability on response caution could not be refuted. However, in a sample more representative of the general population we found a negative association of mathematical ability and response caution in symbolic but not in non-symbolic task material. The observed differences in response behavior highlight the importance of accounting for response caution in the analysis of MC tasks. The results as a whole present a good example of the benefits of a diffusion model analysis.

Cooking Potatoes: Experimentation and Mathematical Modeling.

Science.gov (United States)

Chen, Xiao Dong

2002-01-01

Describes a laboratory activity involving a mathematical model of cooking potatoes that can be solved analytically. Highlights the microstructure aspects of the experiment. Provides the key aspects of the results, detailed background readings, laboratory procedures and data analyses. (MM)

49 CFR Appendix B to Part 172 - Trefoil Symbol

Science.gov (United States)

2010-10-01

... 49 Transportation 2 2010-10-01 2010-10-01 false Trefoil Symbol B Appendix B to Part 172... SECURITY PLANS Pt. 172, App. B Appendix B to Part 172—Trefoil Symbol 1. Except as provided in paragraph 2 of this appendix, the trefoil symbol required for RADIOACTIVE labels and placards and required to be...

Symbols and schemas in emotional eating

DEFF Research Database (Denmark)

Grunert, Suzanne C.

1995-01-01

. Particularly the aspects of security and pleasure are suggested to be important motivators for emotional eating. How these symbolic meanings relate to eating as a regulatory device for emotions is explained by a schema- theoretical approach distinguishing between automatic adaptation mechanisms and strategic......Emotional eating behaviour has been of interest to psychologists exclusively as a disorder. However, evidence suggests that it is a common aspect of normal food habits, initiated by both positive and negative emotions in order to regulate these. T behaviour thus serves to regain or preserve...... the psycho-mental homeostasis. To explain this phenomenon it is first shown which symbolic meanings are associated with eating and foods. The numerous connotations can be grouped into four basic dimensions: Security and pleasure as self-oriented, and status and prestige as socially oriented emotional symbols...

The sound symbolism bootstrapping hypothesis for language acquisition and language evolution.

Science.gov (United States)

Imai, Mutsumi; Kita, Sotaro

2014-09-19

Sound symbolism is a non-arbitrary relationship between speech sounds and meaning. We review evidence that, contrary to the traditional view in linguistics, sound symbolism is an important design feature of language, which affects online processing of language, and most importantly, language acquisition. We propose the sound symbolism bootstrapping hypothesis, claiming that (i) pre-verbal infants are sensitive to sound symbolism, due to a biologically endowed ability to map and integrate multi-modal input, (ii) sound symbolism helps infants gain referential insight for speech sounds, (iii) sound symbolism helps infants and toddlers associate speech sounds with their referents to establish a lexical representation and (iv) sound symbolism helps toddlers learn words by allowing them to focus on referents embedded in a complex scene, alleviating Quine's problem. We further explore the possibility that sound symbolism is deeply related to language evolution, drawing the parallel between historical development of language across generations and ontogenetic development within individuals. Finally, we suggest that sound symbolism bootstrapping is a part of a more general phenomenon of bootstrapping by means of iconic representations, drawing on similarities and close behavioural links between sound symbolism and speech-accompanying iconic gesture. © 2014 The Author(s) Published by the Royal Society. All rights reserved.

Fast Multi-Symbol Based Iterative Detectors for UWB Communications

Directory of Open Access Journals (Sweden)

Lottici Vincenzo

2010-01-01

Full Text Available Ultra-wideband (UWB impulse radios have shown great potential in wireless local area networks for localization, coexistence with other services, and low probability of interception and detection. However, low transmission power and high multipath effect make the detection of UWB signals challenging. Recently, multi-symbol based detection has caught attention for UWB communications because it provides good performance and does not require explicit channel estimation. Most of the existing multi-symbol based methods incur a higher computational cost than can be afforded in the envisioned UWB systems. In this paper, we propose an iterative multi-symbol based method that has low complexity and provides near optimal performance. Our method uses only one initial symbol to start and applies a decision directed approach to iteratively update a filter template and information symbols. Simulations show that our method converges in only a few iterations (less than 5, and that when the number of symbols increases, the performance of our method approaches that of the ideal Rake receiver.

Symbolic Multidimensional Scaling

NARCIS (Netherlands)

P.J.F. Groenen (Patrick); Y. Terada

2015-01-01

markdownabstract__Abstract__ Multidimensional scaling (MDS) is a technique that visualizes dissimilarities between pairs of objects as distances between points in a low dimensional space. In symbolic MDS, a dissimilarity is not just a value but can represent an interval or even a histogram. Here,

Real Time Decoding of Color Symbol for Optical Positioning System

Directory of Open Access Journals (Sweden)

Abdul Waheed Malik

2015-01-01

Full Text Available This paper presents the design and real-time decoding of a color symbol that can be used as a reference marker for optical navigation. The designed symbol has a circular shape and is printed on paper using two distinct colors. This pair of colors is selected based on the highest achievable signal to noise ratio. The symbol is designed to carry eight bit information. Real time decoding of this symbol is performed using a heterogeneous combination of Field Programmable Gate Array (FPGA and a microcontroller. An image sensor having a resolution of 1600 by 1200 pixels is used to capture images of symbols in complex backgrounds. Dynamic image segmentation, component labeling and feature extraction was performed on the FPGA. The region of interest was further computed from the extracted features. Feature data belonging to the symbol was sent from the FPGA to the microcontroller. Image processing tasks are partitioned between the FPGA and microcontroller based on data intensity. Experiments were performed to verify the rotational independence of the symbols. The maximum distance between camera and symbol allowing for correct detection and decoding was analyzed. Experiments were also performed to analyze the number of generated image components and sub-pixel precision versus different light sources and intensities. The proposed hardware architecture can process up to 55 frames per second for accurate detection and decoding of symbols at two Megapixels resolution. The power consumption of the complete system is 342mw.

Cultural and Mathematical Meanings of Regular Octagons in Mesopotamia: Examining Islamic Art Designs

Directory of Open Access Journals (Sweden)

Jeanam Park

2018-03-01

Full Text Available The most common regular polygon in Islamic art design is the octagon. Historical evidence of the use of an 8-star polygon and an 8-fold rosette dates back to Jemdet Nasr (3100-2900 B.C. in Mesopotamia. Additionally, in ancient Egypt, octagons can be found in mathematical problem (Ahmose papyrus, Problem number 48, household goods (papyrus storage, architecture (granite columns and decorations (palace decorations. The regular octagon which is a fundamentally important element of Islamic art design, is widely used as arithmetic objects in metric algebra along with other regular polygons in Mesopotamia. The 8-point star polygon has long been a symbol of the ancient Sumerian goddess Inanna and her East Semitic counterpart Ishtar. During the Neo-Assyrian period, the 8-fold rosette occasionally replaced the star as the symbol of Ishtar. In this paper, we discuss how octagonal design prevailed in the Islamic region since the late ninth century, and has existed in Mesopotamia from Jemdet Nasr to the end of third century B.C. We describe reasons why the geometric pattern of regular polygons, including regular octagons, developed in the Islamic world. Furthermore, we also discuss mathematical meanings of regular polygons.

Democratisation of AAC Symbol Choices Using Technology.

Science.gov (United States)

Draffan, E A; Wald, Mike; Zeinoun, Nadine; Banes, David

2017-01-01

The use of an online voting system has been developed to enable democratic choices of newly designed symbols to support speech, language and literacy skills in a localisation situation. The system works for those using and supporting Augmentative and Alternative Communication (AAC) symbols on electronic systems by the provision of simplified scales of acceptance and adapted grids. The methodology and results highlighted the importance of user participation at the outset and concrete examples of symbol adaptations that were found necessary to ensure higher levels of user satisfaction. Design changes included appropriate local dress codes, linguistic nuances, social settings, the built environment and religious sensitivities.

Carrier tracking by smoothing filter can improve symbol SNR

Science.gov (United States)

Hurd, W. J.; Pomalaza-Raez, C. A.

1985-01-01

The potential benefit of using a smoothing filter to estimate carrier phase over use of phase locked loops (PLL) is determined. Numerical results are presented for the performance of three possible configurations of the deep space network advanced receiver. These are residual carrier PLL, sideband aided residual carrier PLL, and finally sideband aiding with a Kalman smoother. The average symbol signal to noise ratio (CNR) after losses due to carrier phase estimation error is computed for different total power SNRs, symbol rates and symbol SNRs. It is found that smoothing is most beneficial for low symbol SNRs and low symbol rates. Smoothing gains up to 0.4 dB over a sideband aided residual carrier PLL, and the combined benefit of smoothing and sideband aiding relative to a residual carrier loop is often in excess of 1 dB.

Material tools and meaning formation in mathematics

DEFF Research Database (Denmark)

Johansen, Mikkel Willum; Misfeldt, Morten

revealed several new aspects. For this presentation we will especially focus on how mathematicians use external representations as a way to familiarize themselves with, or ascribe meaning to the mathematical objects they are working with, and how this process plays an important role in the heuristic...... for several different purposes and different tools are used at different stages of the working process. In our talk we will focus on the use of external representations such as symbols, figures and diagrams, and we will explain the role played by such representations in the cognitive practice of working...

On the symbolism of the white coat.

Science.gov (United States)

Nash, David A

2014-12-01

The white coat ceremony has become an academic ritual in the health professions: a ceremony that signals a transformation of status from ordinary student to that of one studying to become a health professional. While donning the white coat is a sign of a changed role, the white coat is also a powerful symbol of transformation. White is a symbol of purity, and the white coat symbolizes the purity of purpose being affirmed in becoming a health professional. Dentistry is afforded the status of a learned profession as a result of the power dentists possess over patients seeking care; this power is based in sophisticated knowledge. Patients must trust that the dentist's knowledge and skills will be used in their best interest-always to benefit, never to exploit. The white coat symbolizes an affirmation on the part of aspiring dentists that their purpose will be pure and that they can be trusted to honor the tradition of the learned professions in placing the interest of patients above self. Absent an emphasis on the symbolic nature of the white coat ceremony, it can simply become an opportunity to publicly congratulate individuals for their success in gaining entrance to the study of dentistry. By understanding its significance, however, the white coat ceremony can serve as a powerful, meaningful ritual emphasizing the transformation occurring within an individual who is entering the profession of dentistry.

The relationship between symbolic interactionism and interpretive description.

Science.gov (United States)

Oliver, Carolyn

2012-03-01

In this article I explore the relationship between symbolic interactionist theory and interpretive description methodology. The two are highly compatible, making symbolic interactionism an excellent theoretical framework for interpretive description studies. The pragmatism underlying interpretive description supports locating the methodology within this cross-disciplinary theory to make it more attractive to nonnursing researchers and expand its potential to address practice problems across the applied disciplines. The theory and method are so compatible that symbolic interactionism appears to be part of interpretive description's epistemological foundations. Interpretive description's theoretical roots have, to date, been identified only very generally in interpretivism and the philosophy of nursing. A more detailed examination of its symbolic interactionist heritage furthers the contextualization or forestructuring of the methodology to meet one of its own requirements for credibility.

The Scientific Import of Symbols in Human Knowledge

African Journals Online (AJOL)

Nneka Umera-Okeke

symbolism is restricted to the Arts, especially logic and literature. However ... scholars are aware of this great epistemological base and potentiality of symbols and ... Similarly, in the traditional African setting, the theory of demonology, by.

L’IMPORTANCE DU SYMBOLE ET DU SYMBOLISME DANS LE DEVELOPPEMENT PSYCHIQUE

Directory of Open Access Journals (Sweden)

Gabriel BALACI

2011-04-01

Full Text Available The Symbol in Psychoanalyze is defined as an indirectrepresentation of an object, person, idea, supernatural being, etc. This indirectrepresentation is nothing but a synthesis of all the others means of expression ascomparisony, allegory, metaphor etc. For a psychic content to be symbolized,namely expressed in a symbolic form, is mandatory for it to be repressed in theunconscious. The Symbolism is a representations system based on symbols andaims the expression and the transmission of beliefs and traditions from onegeneration to another.

Towards Symbolic Encryption Schemes

DEFF Research Database (Denmark)

Ahmed, Naveed; Jensen, Christian D.; Zenner, Erik

2012-01-01

, namely an authenticated encryption scheme that is secure under chosen ciphertext attack. Therefore, many reasonable encryption schemes, such as AES in the CBC or CFB mode, are not among the implementation options. In this paper, we report new attacks on CBC and CFB based implementations of the well......Symbolic encryption, in the style of Dolev-Yao models, is ubiquitous in formal security models. In its common use, encryption on a whole message is specified as a single monolithic block. From a cryptographic perspective, however, this may require a resource-intensive cryptographic algorithm......-known Needham-Schroeder and Denning-Sacco protocols. To avoid such problems, we advocate the use of refined notions of symbolic encryption that have natural correspondence to standard cryptographic encryption schemes....

PHILOSOPHEME OF SYMBOL AND CONCEPT OF THE MEANING: PHILOSOPHICAL AND ANTHROPOLOGICAL ASPECTS

Directory of Open Access Journals (Sweden)

P. V. Kretov

2015-12-01

Full Text Available The aim of the study is to find out the meaning of the symbolic nature of the philosophical and anthropological knowledge deployment, as well as symbolic forms of correlation between artificial and natural in the consciousness of human identity and their fixation in the language and also in the forms and structures of culture. The research is based on the methodology of historical and philosophical analysis in synchronic and diachronic aspects, principles of hermeneutic understanding and reconstruction and phenomenological descriptions. Scientific novelty is represented by the postulating such predications of symbolic structures of language and consciousness as multipanorama and transfinite, justification of the ontological status of symbol and symbolism. The symbolic functioning character of language metaphor in scientific discourse and especially the symbolic dimension of semantic field of language and culture, as well as their symbolic association was fixed. The author proves the thesis about the symbolic nature of a holistic, means forming, philosophical knowledge of man, and the relation between the underlying symbolic and metaphorical structures of language and the mechanisms of consciousness, which finds its expression, in particular, in the language of science. The symbolic design that transmits the philosophical aspects of meaning that go beyond definition and formal-logic descriptions is used. In the comparison of the concepts of spiral dynamics, memetics and autopoiesis the existence of a specific symbolic dimension of the semantic field of language, culture and consciousness is postulated. Conclusions of the article define the role of symbol and symbolic and metaphorical constructions and structures of language in forming the discourse of modern philosophical anthropology, which would include the whole thesaurus of language and culture.

Culture as a Moving Symbolic Border.

Science.gov (United States)

Simão, Lívia Mathias

2016-03-01

The aim of this paper is to propose the notion of culture as a symbolic moving border. Departing from both, Boesch's (1991) concept of culture as a symbolic field of action, and Herbst's (1995) co-genetic logic, I will discuss the dynamics of self-other relationships in terms of their potentiality as sources of movement in culture. A brief analysis of an empirical material is given in illustrative character of the ideas here exposed.

Symbolic logic and mechanical theorem proving

CERN Document Server

Chang, Chin-Liang

1969-01-01

This book contains an introduction to symbolic logic and a thorough discussion of mechanical theorem proving and its applications. The book consists of three major parts. Chapters 2 and 3 constitute an introduction to symbolic logic. Chapters 4-9 introduce several techniques in mechanical theorem proving, and Chapters 10 an 11 show how theorem proving can be applied to various areas such as question answering, problem solving, program analysis, and program synthesis.

Symbolic dynamics and description of complexity

International Nuclear Information System (INIS)

Hao Bailin.

1992-10-01

Symbolic dynamics provides a general framework to describe complexity of dynamical behaviour. After a discussion of the state of the filed special emphasis will be made on the role of transfer matrix (the Stefan matrix) both in deriving the grammar from known symbolic dynamics and in extracting the rules from experimental data. The block structure of the Stefan matrix may serve as another indicator of complexity of the associated dynamics. (author). 33 refs, 6 figs

Subrepresentation semirings and an analog of 6j-symbols

International Nuclear Information System (INIS)

Kwon, Namhee; Sage, Daniel S.

2008-01-01

Let V be a complex representation of the compact group G. The subrepresentation semiring associated to V is the set of subrepresentations of the algebra of linear endomorphisms of V with operations induced by the matrix operations. The study of these semirings has been motivated by recent advances in materials science, in which the search for microstructure-independent exact relations for physical properties of composites has been reduced to the study of these semirings for the rotation group SO(3). In this case, the structure constants for subrepresentation semirings can be described explicitly in terms of the 6j-symbols familiar from the quantum theory of angular momentum. In this paper, we investigate subrepresentation semirings for the class of quasisimply reducible groups defined by Mackey ['Multiplicity free representations of finite groups', Pac. J. Math. 8, 503 (1958)]. We introduce a new class of symbols called twisted 6j-symbols for these groups, and we explicitly calculate the structure constants for subrepresentation semirings in terms of these symbols. Moreover, we show that these symbols satisfy analog of the standard properties of classical 6j-symbols

The two-loop symbol of all multi-Regge regions

International Nuclear Information System (INIS)

Bargheer, Till; Papathanasiou, Georgios; Schomerus, Volker

2016-01-01

We study the symbol of the two-loop n-gluon MHV amplitude for all Mandelstam regions in multi-Regge kinematics in N=4 super Yang-Mills theory. While the number of distinct Mandelstam regions grows exponentially with n, the increase of independent symbols turns out to be merely quadratic. We uncover how to construct the symbols for any number of external gluons from just two building blocks which are naturally associated with the six- and seven-gluon amplitude, respectively. The second building block is entirely new, and in addition to its symbol, we also construct a prototype function that correctly reproduces all terms of maximal functional transcendentality.

The two-loop symbol of all multi-Regge regions

International Nuclear Information System (INIS)

Bargheer, Till; Schomerus, Volker; Papathanasiou, Georgios

2015-12-01

We study the symbol of the two-loop n-gluon MHV amplitude for all Mandelstam regions in multi-Regge kinematics in N= 4 super Yang-Mills theory. While the number of distinct Mandelstam regions grows exponentially with n, the increase of independent symbols turns out to be merely quadratic. We uncover how to construct the symbols for any number of external gluons from just two building blocks which are naturally associated with the six- and seven-gluon amplitude, respectively. The second building block is entirely new, and in addition to its symbol, we also construct a prototype function that correctly reproduces all terms of maximal functional transcendentality.

Long-Term Symbolic Learning

National Research Council Canada - National Science Library

Kennedy, William G; Trafton, J. G

2007-01-01

What are the characteristics of long-term learning? We investigated the characteristics of long-term, symbolic learning using the Soar and ACT-R cognitive architectures running cognitive models of two simple tasks...

2016 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics

CERN Document Server

Schlimm, Dirk

2017-01-01

This volume contains fourteen papers that were presented at the 2016 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held at the University of Calgary in Alberta, Canada. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of topics in the history and philosophy of mathematics, this meeting also honored the life and work of the logician and philosopher of mathematics Aldo Antonelli (1962-2015). The first four papers in this book are part of that remembrance and have a philosophical focus. Included in these are a discussion of Bolzano’s objections to Kant’s philosophy of mathematics and an examination of the influence of rhetorical and poetic aesthetics on the development of symbols in the 16th and 17thCenturies. The remaining papers deal with the history of mathematics and cover such subjects as Early schemes for polar ordinates in the work of L’Hôpital, bas...

Characterizing Instructional Practices in the Laboratory: The Laboratory Observation Protocol for Undergraduate STEM

Science.gov (United States)

Velasco, Jonathan B.; Knedeisen, Adam; Xue, Dihua; Vickrey, Trisha L.; Abebe, Marytza; Stains, Marilyne

2016-01-01

Chemistry laboratories play an essential role in the education of undergraduate Science, Technology, Engineering, and Mathematics (STEM) and non-STEM students. The extent of student learning in any educational environment depends largely on the effectiveness of the instructors. In chemistry laboratories at large universities, the instructors of…

Symbolism and Advertising in Pop Art

OpenAIRE

Willis, Nicole

2009-01-01

Introduction The premise of the written work on the subject of Symbolism and Advertising in Pop Art is to reveal that the thread of symbolism, in advertisement and other forms of media, whether it be ancient or contemporary, has been an intrinsic part of all artworks to date and that historically, movements in socio-economic structures of societies and their relative consumerism have been a catalyst in the direction of representational art works. I will first approach the conce...

Symbolic Interaction and Applied Social Research

Science.gov (United States)

Kotarba, Joseph A.

2014-01-01

In symbolic interaction, a traditional yet unfortunate and unnecessary distinction has been made between basic and applied research. The argument has been made that basic research is intended to generate new knowledge, whereas applied research is intended to apply knowledge to the solution of practical (social and organizational) problems. I will argue that the distinction between basic and applied research in symbolic interaction is outdated and dysfunctional. The masters of symbolic interactionist thought have left us a proud legacy of shaping their scholarly thinking and inquiry in response to and in light of practical issues of the day (e.g., Znaniecki, and Blumer). Current interactionist work continues this tradition in topical areas such as social justice studies. Applied research, especially in term of evaluation and needs assessment studies, can be designed to serve both basic and applied goals. Symbolic interaction provides three great resources to do this. The first is its orientation to dynamic sensitizing concepts that direct research and ask questions instead of supplying a priori and often impractical answers. The second is its orientation to qualitative methods, and appreciation for the logic of grounded theory. The third is interactionism’s overall holistic approach to interfacing with the everyday life world. The primary illustrative case here is the qualitative component of the evaluation of an NIH-funded, translational medical research program. The qualitative component has provided interactionist-inspired insights into translational research, such as examining cultural change in medical research in terms of changes in the form and content of formal and informal discourse among scientists; delineating the impact of significant symbols such as "my lab" on the social organization of science; and appreciating the essence of the self-concept "scientist" on the increasingly bureaucratic and administrative identities of medical researchers. This

The Creative Identity: Creative Behavior from the Symbolic Interactionist Perspective.

Science.gov (United States)

Petkus, Ed, Jr.

1996-01-01

This article examines the motivation of certain creative behaviors from the perspective of symbolic interactionism. The fundamental tenets of symbolic interactionism are described and the mechanics of symbolic interactionist-based, role-identity theory are explained. Ways that the theory can be applied to the motivation of creative behavior are…

Symbol addition by monkeys provides evidence for normalized quantity coding

Science.gov (United States)

Livingstone, Margaret S.; Pettine, Warren W.; Srihasam, Krishna; Moore, Brandon; Morocz, Istvan A.; Lee, Daeyeol

2014-01-01

Weber’s law can be explained either by a compressive scaling of sensory response with stimulus magnitude or by a proportional scaling of response variability. These two mechanisms can be distinguished by asking how quantities are added or subtracted. We trained Rhesus monkeys to associate 26 distinct symbols with 0–25 drops of reward, and then tested how they combine, or add, symbolically represented reward magnitude. We found that they could combine symbolically represented magnitudes, and they transferred this ability to a novel symbol set, indicating that they were performing a calculation, not just memorizing the value of each combination. The way they combined pairs of symbols indicated neither a linear nor a compressed scale, but rather a dynamically shifting, relative scaling. PMID:24753600

The Development of Symbolic and Non-Symbolic Number Line Estimations: Three Developmental Accounts Contrasted Within Cross-Sectional and Longitudinal Data

Directory of Open Access Journals (Sweden)

Delphine Sasanguie

2016-12-01

Full Text Available Three theoretical accounts have been put forward for the development of children’s response patterns on number line estimation tasks: the log-to-linear representational shift, the two-linear-to-linear transformation and the proportion judgment account. These three accounts have not been contrasted, however, within one study, using one single criterion to determine which model provides the best fit. The present study contrasted these three accounts by examining first, second and sixth graders with a symbolic and non-symbolic number line estimation task (Experiment 1. In addition, first and second graders were tested again one year later (Experiment 2. In case of symbolic estimations, the proportion judgment account described the data best. Most young children’s non-symbolic estimation patterns were best described by a logarithmic model (within the log-to-lin account, whereas those of most older children were best described by the simple power model (within the proportion judgment account.

On Modeling Affect in Audio with Non-Linear Symbolic Dynamics

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Pauline Mouawad

2017-09-01

Full Text Available The discovery of semantic information from complex signals is a task concerned with connecting humans’ perceptions and/or intentions with the signals content. In the case of audio signals, complex perceptions are appraised in a listener’s mind, that trigger affective responses that may be relevant for well-being and survival. In this paper we are interested in the broader question of relations between uncertainty in data as measured using various information criteria and emotions, and we propose a novel method that combines nonlinear dynamics analysis with a method of adaptive time series symbolization that finds the meaningful audio structure in terms of symbolized recurrence properties. In a first phase we obtain symbolic recurrence quantification measures from symbolic recurrence plots, without the need to reconstruct the phase space with embedding. Then we estimate symbolic dynamical invariants from symbolized time series, after embedding. The invariants are: correlation dimension, correlation entropy and Lyapunov exponent. Through their application for the logistic map, we show that our measures are in agreement with known methods from literature. We further show that one symbolic recurrence measure, namely the symbolic Shannon entropy, correlates positively with the positive Lyapunov exponents. Finally we evaluate the performance of our measures in emotion recognition through the implementation of classification tasks for different types of audio signals, and show that in some cases, they perform better than state-of-the-art methods that rely on low-level acoustic features.

Different ritual symbols in Igbo traditional religion and their functions ...

African Journals Online (AJOL)

Symbols change in their value and functions and as a result of the changes in cultural appreciation. The change in the emphasis on the role of symbolism in general is partly consequence of cultural intellectual, social and economic transformation. All our actions are symbolic and we cannot do without interacting with each ...

Symbolism and rationality in the politics of psychoactive substances.

Science.gov (United States)

Room, Robin

2005-01-01

Psychoactive substances take on many symbolic meanings, and thus the politics of psychoactive substances has featured symbolic elements, or value-based rationality, alongside and often dominating instrumental rationality. Drawing particularly on the work of Joseph Gusfield and Nordic scholars, the chapter considers the symbolic dimension in the politics of substance use, even in Nordic countries celebrated for their societal commitment to knowledge-based policymaking, and its effects on the interplay of science and policy.

The use of symbolic computation in radiative, energy, and neutron transport calculations. Technical report, 15 August 1992--14 August 1994

International Nuclear Information System (INIS)

Frankel, J.I.

1995-01-01

This investigation uses symbolic computation in developing analytical methods and general computational strategies for solving both linear and nonlinear, regular and singular, integral and integro-differential equations which appear in radiative and combined mode energy transport. This technical report summarizes the research conducted during the first nine months of the present investigation. The use of Chebyshev polynomials augmented with symbolic computation has clearly been demonstrated in problems involving radiative (or neutron) transport, and mixed-mode energy transport. Theoretical issues related to convergence, errors, and accuracy have also been pursued. Three manuscripts have resulted from the funded research. These manuscripts have been submitted to archival journals. At the present time, an investigation involving a conductive and radiative medium is underway. The mathematical formulation leads to a system of nonlinear, weakly-singular integral equations involving the unknown temperature and various Legendre moments of the radiative intensity in a participating medium. Some preliminary results are presented illustrating the direction of the proposed research

Symbol Stream Combining in a Convolutionally Coded System

Science.gov (United States)

Mceliece, R. J.; Pollara, F.; Swanson, L.

1985-01-01

Symbol stream combining has been proposed as a method for arraying signals received at different antennas. If convolutional coding and Viterbi decoding are used, it is shown that a Viterbi decoder based on the proposed weighted sum of symbol streams yields maximum likelihood decisions.

Research Progress in Mathematical Analysis of Map Projection by Computer Algebra

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BIAN Shaofeng

2017-10-01

Full Text Available Map projection is an important component of modern cartography, and involves many fussy mathematical analysis processes, such as the power series expansions of elliptical functions, differential of complex and implicit functions, elliptical integral and the operation of complex numbers. The derivation of these problems by hand not only consumes much time and energy but also makes mistake easily, and sometimes can not be realized at all because of the impossible complexity. The research achievements in mathematical analysis of map projection by computer algebra are systematically reviewed in five aspects, i.e., the symbolic expressions of forward and inverse solution of ellipsoidal latitudes, the direct transformations between map projections with different distortion properties, expressions of Gauss projection by complex function, mathematical analysis of oblique Mercator projection, polar chart projection with its transformation. Main problems that need to be further solved in this research field are analyzed. It will be helpful to promote the development of map projection.

Enhanced Assessment Technology and Neurocognitive Aspects of Specific Learning Disorder with Impairment in Mathematics.

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Marios A. Pappas

2018-02-01

Full Text Available Specific Learning Disorder with impairment in Mathematics (Developmental Dyscalculia is a complex learning disorder which affects arithmetic skills, symbolic magnitude processing, alertness, flexibility in problem solving and maintained attention. Neuro-cognitive studies revealed that such difficulties in children with DD could be related to poor Working Memory and attention deficits. Furthermore, neuroimaging studies indicate that brain structure differences in children with DD compared to typically developing children could affect mathematical performance. In this study we present the cognitive profile of Dyscalculia, as well as the neuropsychological aspects of the deficit, with special reference to the utilization of enhanced assessment technology such as computerized neuropsychological tools and neuroimaging techniques.

Symbolic Water Imagery in the Drama of J. P. Clark- Bekederemo

African Journals Online (AJOL)

Prof

Key words: Imagery, Symbolism, Water, Drama, J. P. Clark-Bekederemo. Introduction .... the other types (the literal and the figurative) is that a symbolic image has the capacity to extend its ..... A Dictionary of Literary Symbols. Cambridge: ...

The method of covariant symbols in curved space-time

International Nuclear Information System (INIS)

Salcedo, L.L.

2007-01-01

Diagonal matrix elements of pseudodifferential operators are needed in order to compute effective Lagrangians and currents. For this purpose the method of symbols is often used, which however lacks manifest covariance. In this work the method of covariant symbols, introduced by Pletnev and Banin, is extended to curved space-time with arbitrary gauge and coordinate connections. For the Riemannian connection we compute the covariant symbols corresponding to external fields, the covariant derivative and the Laplacian, to fourth order in a covariant derivative expansion. This allows one to obtain the covariant symbol of general operators to the same order. The procedure is illustrated by computing the diagonal matrix element of a nontrivial operator to second order. Applications of the method are discussed. (orig.)

Curriculum Framework (CF) Implementation Conference. Report of the Regional Educational Laboratory Network Program and the National Network of Eisenhower Mathematics and Science Regional Consortia (Hilton Head Island, South Carolina, January 26-27, 1995).

Science.gov (United States)

Palmer, Jackie; Powell, Mary Jo

The Laboratory Network Program and the National Network of Eisenhower Mathematics and Science Regional Consortia, operating as the Curriculum Frameworks Task Force, jointly convened a group of educators involved in implementing state-level mathematics or science curriculum frameworks (CF). The Hilton Head (South Carolina) conference had a dual…

Hippocampal spatial mechanisms relate to the development of arithmetic symbol processing in children.

Science.gov (United States)

Mathieu, Romain; Epinat-Duclos, Justine; Léone, Jessica; Fayol, Michel; Thevenot, Catherine; Prado, Jérôme

2017-06-13

Understanding the meaning of abstract mathematical symbols is a cornerstone of arithmetic learning in children. Studies have long focused on the role of spatial intuitions in the processing of numerals. However, it has been argued that such intuitions may also underlie symbols that convey fundamental arithmetic concepts, such as arithmetic operators. In the present cross-sectional study, we used fMRI to investigate how and when associations between arithmetic operators and brain regions processing spatial information emerge in children from 3 rd to 10 th grade. We found that the mere perception of a '+' sign elicited grade-related increases of spatial activity in the right hippocampus. That is, merely perceiving '+' signs - without any operands - elicited enhanced hippocampal activity after around 7 th grade (12-13 years old). In these children, hippocampal activity in response to a '+' sign was further correlated with the degree to which calculation performance was facilitated by the preview of that sign before an addition problem, an effect termed operator-priming. Grade-related increases of hippocampal spatial activity were operation-specific because they were not observed with '×' signs, which might evoke rote retrieval rather than numerical manipulation. Our study raises the possibility that hippocampal spatial mechanisms help build associations between some arithmetic operators and space throughout age and/or education. Copyright © 2017 The Authors. Published by Elsevier Ltd.. All rights reserved.

Management as a Symbolizing Construction? Re-Arranging the Understanding of Management

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Katharina Mayr

2010-09-01

Full Text Available In this article, we outline the concept of management as a symbolizing construction. According to Niklas LUHMANN, organizations process by referring to decisions. But decisions are not simply "given" and in principle invisible. This is the reason why organizations institute formalities like protocols, signatures or other insignia of the official that symbolize the decision—without actually being a decision. These symbols allow for making decisions "process-able." And just like a protocol or a signature, management symbolizes decisions as well. Management provides an organizational practice with symbols of decision making without being the "unity" of the decisions, as decisions perpetually have to be reconstructed, redefined and rearranged in the communication of all organizational units. Therefore management symbolizes on the one hand more than it can achieve. On the other hand the importance of management as a symbolizing construction lies in allowing the reconstruction, redefining and rearrangement of decisions by making them visible and recognizable. Heroic managers, meetings, management tools and procedures are solutions to the paradox of decision making. By symbolizing decidedness they create credibilities that conceal the self-referential construction of organizational communication and the paradox of its decision praxis. URN: urn:nbn:de:0114-fqs1003218

Awareness and use of the Heart Symbol by Finnish consumers.

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Lahti-Koski, Marjaana; Helakorpi, Satu; Olli, Mari; Vartiainen, Erkki; Puska, Pekka

2012-03-01

To study the awareness of the Heart Symbol in different age and educational groups, and changes in the awareness over a 9-year period. In addition, the reported use of products with the symbol was examined. A series of annual cross-sectional postal surveys on Health Behaviour and Health among the Finnish Adult Population. A random sample (n 5000 per annum) from the Finnish population aged 15-64 years, drawn from the National Population Register, received a questionnaire. Men and women (n 29 378) participating in the surveys in 2000-2009. At the early 2000s, 48 % of men and 73 % of women reported to be familiar with the symbol. The corresponding rates were 66 % for men and 91 % for women in 2009. The reported use of products with the symbol increased from 29 % to 52 % in men and from 40 % to 72 % in women. In men, the awareness did not vary by age, whereas older women (45-64 years) were less likely to be aware of the symbol compared with younger women (25-34 years). Men and women with the highest education were best aware of the symbol and more likely to use the products in the early 2000s. The educational differences diminished or disappeared during the study period. The majority of Finnish adults are familiar with the Heart Symbol, and the reported use of such products increased in all age and educational groups, especially among the less educated. The symbol may work as an effective measure to diminish nutrition-related health inequalities.

Symbolic BDD and ADD Algorithms for Energy Games

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Shahar Maoz

2016-11-01

Full Text Available Energy games, which model quantitative consumption of a limited resource, e.g., time or energy, play a central role in quantitative models for reactive systems. Reactive synthesis constructs a controller which satisfies a given specification, if one exists. For energy games a synthesized controller ensures to satisfy not only the safety constraints of the specification but also the quantitative constraints expressed in the energy game. A symbolic algorithm for energy games, recently presented by Chatterjee et al., is symbolic in its representation of quantitative values but concrete in the representation of game states and transitions. In this paper we present an algorithm that is symbolic both in the quantitative values and in the underlying game representation. We have implemented our algorithm using two different symbolic representations for reactive games, Binary Decision Diagrams (BDD and Algebraic Decision Diagrams (ADD. We investigate the commonalities and differences of the two implementations and compare their running times on specifications of energy games.

A STUDY OF SYMBOLIC RELATIONS IN PUBLIC TRANSPORT

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ANDREI BALAN

2011-04-01

Full Text Available This paper presents an anthropological, exploratory study of the microsocial world of public transport. Our research focuses on the symbolic relations that are being established (verbally or nonverbally between urban transport travellers that do not know each other and the consequences these relations create. Modern urban configuration forces large numbers of individuals to share public space every day. When this space becomes restrictive, symbolic relations and interpersonal behaviors such as territoriality and personal space management become clearer. Due to overcrowding, public transport is the scene of one of the most restrictive public spaces in a city. The challenge was to observe and interpret daily, casual behaviors through a sociological and psychological scheme, following the methodological tradition established by Erving Goffman and the other symbolic interactionists. Finally, our study generates a number of hypotheses and explanatory models for common practices and behaviors in trams and metros regarded from a symbolic perspective.

Multiformity of inherent randomicity and visitation density in n symbolic dynamics

International Nuclear Information System (INIS)

Zhang Yagang; Wang Changjiang

2007-01-01

The multiformity of inherent randomicity and visitation density in n symbolic dynamics will be clarified in this paper. These stochastic symbolic sequences bear three features. The distribution of frequency, inter-occurrence times and the alignment of two random sequences are amplified in detail. The features of visitation density in surjective maps presents catholicity and the catholicity in n letters randomicity has the same measure foundation. We hope to offer a symbolic platform that satisfies these stochastic properties and to attempt to study certain properties of DNA base sequences, 20 amino acids symbolic sequences of proteid structure, and the time series that can be symbolic in finance market et al

Building counting by traditional game: Mathematics Program for Young Children

OpenAIRE

Nasrullah Nasrullah; Zulkardi Zulkardi

2011-01-01

In line with design research, the use of Bermain Satu Rumah (BSR) as traditional  game to support children’s counting classroom wherein students are encouraged to construct mathematical understanding. Number in traditional games is an interesting aspect that is helpful for children to encounter numerous situations that bring them into contact with sounds, symbols and meanings that relate to numbers. Bermain satu rumah as starting activity would be media to enhance student’s sense of number as...

HMD symbol stabilization concepts

Science.gov (United States)

Newman, Richard L.; Greeley, Kevin W.

1995-05-01

Helmet-mounted displays (HMDs) present flight, navigation, and weapon information in the pilot's line of sight. The HMD was developed to allow the pilot to retain aircraft and weapon information while looking off boresight. Symbol stabilization is a key issue for HMDs. In current equipment, the lack of compensation for pilot head motion creates excessive workload during hovering and nap-of-the-earth flight. This high workload translates into excessive training requirements. At the same time, misleading symbology makes interpretation of the height of obstructions impossible. A set of standardized coordinate transformations are necessary for the development of HMD symbology and the control laws. Part of the problem is there is no agreed upon set of definitions or descriptions for how HMD symbols are driven to compensate for pilot head motion. A candidate set of coordinate definitions is proposed to address this issue.

Consumers’ perception of symbols and health claims as health-related label messages

DEFF Research Database (Denmark)

Carrillo, E.; Fiszman, S.; Lähteenmäki, Liisa

2014-01-01

The package is the first contact between the food and the consumer and an excellent vehicle for communication with the consumer. Visual cues (symbols) on the package can be used to communicate health-related information. Although EU legislation provides for the use of symbols, there could......’s appeal and convincingness in two countries, one Mediterranean (Spain) and the other Scandinavian (Denmark). Four symbols were employed in the study: (1) heart-plus-stethoscope, (2) olives (a symbol often used in Spain but not so much in Denmark), and two not directly linked to food products: (3) active...... of the symbols perceived by the participants was similar in both countries but the culture influenced the connotations attached to the symbols. In addition, the symbols on the packaging were found to be more important than the verbal information....

Symbolic Form in the Pedagogical Implications of Sociolinguistics

Science.gov (United States)

Tolic, Mirela

2011-01-01

The author with the help of analysis of symbolic forms and sociolinguistics explains the transformation of "homo communicans in conscious homo symbolicum." He points out the importance of etymological analysis Cassierer's philosophy of symbolic forms and its effects in the modern understanding of sociolinguistics. It is necessary their…

Communication patterns in a psychotherapy following traumatic brain injury: A quantitative case study based on symbolic dynamics

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Gilpin Adele MK

2011-07-01

Full Text Available Abstract Background The role of psychotherapy in the treatment of traumatic brain injury is receiving increased attention. The evaluation of psychotherapy with these patients has been conducted largely in the absence of quantitative data concerning the therapy itself. Quantitative methods for characterizing the sequence-sensitive structure of patient-therapist communication are now being developed with the objective of improving the effectiveness of psychotherapy following traumatic brain injury. Methods The content of three therapy session transcripts (sessions were separated by four months obtained from a patient with a history of several motor vehicle accidents who was receiving dialectical behavior therapy was scored and analyzed using methods derived from the mathematical theory of symbolic dynamics. Results The analysis of symbol frequencies was largely uninformative. When repeated triples were examined a marked pattern of change in content was observed over the three sessions. The context free grammar complexity and the Lempel-Ziv complexity were calculated for each therapy session. For both measures, the rate of complexity generation, expressed as bits per minute, increased longitudinally during the course of therapy. The between-session increases in complexity generation rates are consistent with calculations of mutual information. Taken together these results indicate that there was a quantifiable increase in the variability of patient-therapist verbal behavior during the course of therapy. Comparison of complexity values against values obtained from equiprobable random surrogates established the presence of a nonrandom structure in patient-therapist dialog (P = .002. Conclusions While recognizing that only limited conclusions can be based on a case history, it can be noted that these quantitative observations are consistent with qualitative clinical observations of increases in the flexibility of discourse during therapy. These

Multimodal Languaging as a Pedagogical Model—A Case Study of the Concept of Division in School Mathematics

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Jorma Joutsenlahti

2017-01-01

Full Text Available The purpose of this study is to present a multimodal languaging model for mathematics education. The model consists of mathematical symbolic language, a pictorial language, and a natural language. By applying this model, the objective was to study how 4th grade pupils (N = 21 understand the concept of division. The data was collected over six hours of teaching sessions, during which the pupils expressed their mathematical thinking mainly by writing and drawing. Their productions, as well as questionnaire after the process, were analyzed qualitatively. The results show that, in expressing the mathematical problem in verbal form, most of the students saw it as a division into parts. It was evident from the pupils’ texts and drawings that the mathematical expression of subtraction could be interpreted in three different ways. It was found that the pupils enjoyed using writing in the solution of word problems, and it is suggested that the use of different modes in expressing mathematical thinking may both strengthen the learning of mathematical concepts and support the evaluation of learning.

[Determining visual acuity with LH symbols and Landolt rings].

Science.gov (United States)

Gräf, M; Becker, R

1999-08-01

Lea (LH) symbols seem to be favourable for visual acuity assessment in childhood. The symbols of the LH test are well standardized and applicable to preschool children. We compared the visual acuity determined by LH single symbols (LH) and the acuity measured with the Landolt-C (LC). 138 cooperative subjects aged 7 to 91 years were examined. Their visual acuity was either normal or reduced due to various etiologies. Their refractive error was corrected. The monocular LH and LC were determined by a 3/4 criterion (study 1). In 19 healthy subjects aged 21 to 58 years, acuity was reduced stepwise by 5 different calibrated occlusives (study 2). A Lighthouse single symbol book (LH symbols) was used at a distance of 3 m. LC was determined at a distance of 5 m. The luminance of the test field was 180-200 cd/m2. The right eye of each patient and the amblyopic eye of the squinting patients was taken for statistical evaluation. The strabismic patients' interocular differences of LC and LH were compared. Within study 1, LC ranged from 0.02 to 2.0 and LH from 0.03 to 2.5. LH overestimated LC by 1.4 lines on an average (t-test p 1 line, 85.7% resp. 90% of the strabismic amblyopic patients with an interocular LC difference > 1 resp > 2 lines were detected. In study 2, LC ranged from 0.1 to 1.6, LH from 0.12 to 2.0. The mean difference LH-LC was 1.3 lines. The regression equation was lgLH = 0.91 lgLC + 0.08 (r = 0.95). LH symbols allow a reliable measurement of recognition acuity. Due to the design of the symbols, they are excellently suitable for application to preschool children. Age related normal values should be established. The systematic difference between the LC acuity and the LH acuity measured with the Lighthouse LH single symbol book by 1.4 lines has to be considered.

Cognitive science in the field: A preschool intervention durably enhances intuitive but not formal mathematics.

Science.gov (United States)

Dillon, Moira R; Kannan, Harini; Dean, Joshua T; Spelke, Elizabeth S; Duflo, Esther

2017-07-07

Many poor children are underprepared for demanding primary school curricula. Research in cognitive science suggests that school achievement could be improved by preschool pedagogy in which numerate adults engage children's spontaneous, nonsymbolic mathematical concepts. To test this suggestion, we designed and evaluated a game-based preschool curriculum intended to exercise children's emerging skills in number and geometry. In a randomized field experiment with 1540 children (average age 4.9 years) in 214 Indian preschools, 4 months of math game play yielded marked and enduring improvement on the exercised intuitive abilities, relative to no-treatment and active control conditions. Math-trained children also showed immediate gains on symbolic mathematical skills but displayed no advantage in subsequent learning of the language and concepts of school mathematics. Copyright © 2017, American Association for the Advancement of Science.

Multiple-Symbol Detection Of Multiple-Trellis-Coded MDPSK

Science.gov (United States)

Divsalar, Dariush; Simon, Marvin K.; Shahshahani, Mehrdad M.

1991-01-01

In proposed scheme for detection and decoding of multiple-trellis-coded multilevel differential-phase-shift-keyed (MDPSK) radio signals, observation time for differential detection extended from conventional 2 to larger number of symbol periods. Decreases rate of error in differential detection of uncoded MDPSK by increasing number of symbol periods.

Digit Symbol Performance in Mild Dementia and Depression.

Science.gov (United States)

Hart, Robert P.; And Others

1987-01-01

Patients with mild dementia of the Alzheimer's type (DAT), patients with major depression, and normal control subjects completed the Wechsler Adult Intelligence Scale (WAIS) Digit Symbol test of incidental memory. Though mild DAT and depressed patients had equivalent deficits in psychomotor speed, DAT patients recalled fewer digit-symbol items.…

The role of health-related claims and health-related symbols in consumer behaviour: Design and conceptual framework of the CLYMBOL project and initial results.

Science.gov (United States)

Hieke, S; Kuljanic, N; Wills, J M; Pravst, I; Kaur, A; Raats, M M; van Trijp, H C M; Verbeke, W; Grunert, K G

2015-03-01

Health claims and symbols are potential aids to help consumers identify foods that are healthier options. However, little is known as to how health claims and symbols are used by consumers in real-world shopping situations, thus making the science-based formulation of new labelling policies and the evaluation of existing ones difficult. The objective of the European Union-funded project R ole of health-related   CLaims   and   sYMBOLs   in consumer behaviour (CLYMBOL) is to determine how health-related information provided through claims and symbols, in their context, can affect consumer understanding, purchase and consumption. To do this, a wide range of qualitative and quantitative consumer research methods are being used, including product sampling, sorting studies ( i.e. how consumers categorise claims and symbols according to concepts such as familiarity and relevance), cross-country surveys, eye-tracking ( i.e. what consumers look at and for how long), laboratory and in-store experiments, structured interviews, as well as analysis of population panel data. EU Member States differ with regard to their history of use and regulation of health claims and symbols prior to the harmonisation of 2006. Findings to date indicate the need for more structured and harmonised research on the effects of health claims and symbols on consumer behaviour, particularly taking into account country-wide differences and individual characteristics such as motivation and ability to process health-related information. Based on the studies within CLYMBOL, implications and recommendations for stakeholders such as policymakers will be provided.

Linearly interpolated sub-symbol optical phase noise suppression in CO-OFDM system.

Science.gov (United States)

Hong, Xuezhi; Hong, Xiaojian; He, Sailing

2015-02-23

An optical phase noise suppression algorithm, LI-SCPEC, based on phase linear interpolation and sub-symbol processing is proposed for CO-OFDM system. By increasing the temporal resolution of carrier phase tracking through dividing one symbol into several sub-blocks, i.e., sub-symbols, inter-carrier-interference (ICI) mitigation is achieved in the proposed algorithm. Linear interpolation is employed to obtain a reliable temporal reference for sub-symbol phase estimation. The new algorithm, with only a few number of sub-symbols (N(B) = 4), can provide a considerably larger laser linewidth tolerance than several other ICI mitigation algorithms as demonstrated by Monte-Carlo simulations. Numerical analysis verifies that the best performance is achieved with an optimal and moderate number of sub-symbols. Complexity analysis shows that the required number of complex-valued multiplications is independent of the number of sub-symbols used in the proposed algorithm.

A complementary measure of heterogeneity on mathematical skills

Science.gov (United States)

Fedriani, Eugenio M.; Moyano, Rafael

2012-06-01

Finding educational truths is an inherently multivariate problem. There are many factors affecting each student and their performances. Because of this, both measuring of skills and assessing students are always complex processes. This is a well-known problem, and a number of solutions have been proposed by specialists. One of its ramifications is that the variety of progress levels of students in the Mathematics classroom makes teaching more difficult. We think that a measure of the heterogeneity of the different student groups could be interesting in order to prepare some strategies to deal with these kinds of difficulties. The major aim of this study is to develop new tools, complementary to the statistical ones that are commonly used for these purposes, to study situations related to education (mainly to the detection of levels of mathematical education) in which several variables are involved. These tools are thought to simplify these educational analyses and, through a better comprehension of the topic, to improve our teaching. Several authors in our research group have developed some mathematical, theoretical tools, to deal with multidimensional phenomena, and have applied them to measure poverty and also to other business models. These tools are based on multidigraphs. In this article, we implement these tools using symbolic computational software and apply them to study a specific situation related to mathematical education.

Symbolic interactionism as a theoretical perspective for multiple method research.

Science.gov (United States)

Benzies, K M; Allen, M N

2001-02-01

Qualitative and quantitative research rely on different epistemological assumptions about the nature of knowledge. However, the majority of nurse researchers who use multiple method designs do not address the problem of differing theoretical perspectives. Traditionally, symbolic interactionism has been viewed as one perspective underpinning qualitative research, but it is also the basis for quantitative studies. Rooted in social psychology, symbolic interactionism has a rich intellectual heritage that spans more than a century. Underlying symbolic interactionism is the major assumption that individuals act on the basis of the meaning that things have for them. The purpose of this paper is to present symbolic interactionism as a theoretical perspective for multiple method designs with the aim of expanding the dialogue about new methodologies. Symbolic interactionism can serve as a theoretical perspective for conceptually clear and soundly implemented multiple method research that will expand the understanding of human health behaviour.

VULTURES: EXEGESIS OF A SYMBOL

Directory of Open Access Journals (Sweden)

Maura Andreoni

2016-12-01

Full Text Available Depending on the different cultures and historical periods, vultures have been considered both impure or sacred. But, since they usually do not prey upon living animals, their symbolic dimension, associated to the idea of purification, is present in many myths, religions, burial praxis of ancient populations and remains in some religions today.In the ancient Mediterranean civilizations, they have been carved in some of the most ancient bas-reliefs of the history by stone age people; were sacred to Egyptians, who even took them as symbol of gods; in the classical times they were supposed to be all feminine and breed by parthenogenesis, and therefore appreciated by some early Christian authors, who came to comparing them even to the Virgin Mary; they have been studied and described by ancient scientists, naturalists, philosophers, playwrights; involved in many of the most enduring Greek and Roman myths and legends; many parts of their body were considered as a medicine or even a talisman for happiness; and they were so proverbial for Romans to become even one of the symbols of the founding of Rome itself.But they were also so fragile that perfumes, myrrh and pomegranates were supposed to be lethal for them ….

Imagining and Remembering City: Memory, Space and Symbolism of Belgrade

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Ljiljana Rogač Mijatović

2014-11-01

Full Text Available In contemporary “runaway world”, cities are becoming the main reference point of social life, change and development. The author discusses the complex process of articulating city identity and memory, as well as the meanings that arise in the interaction of memory, space and symbols of the city, within urban symbolism and cultural memory approach. What are the strategies of activating the cultural memory through multiple symbol bearers of the city, both tangible and intangible? The case study of the city of Belgrade indicates how the narratives related to memory and symbol bearers can be used in fostering culturally sustainable development of the city.

Experimental targeting of chaos via controlled symbolic dynamics

International Nuclear Information System (INIS)

Corron, Ned J.; Pethel, Shawn D.

2003-01-01

In this Letter, we report experimental targeting in a chaotic system by controlling symbolic dynamics. We acquire and control an electronic circuit using small perturbations to elicit a desired objective state starting from an arbitrary, uncontrolled state. The control perturbations are calculated using a symbolic targeting sequence and applied using dynamic limiting control

Meanings Given to Algebraic Symbolism in Problem-Posing

Science.gov (United States)

Cañadas, María C.; Molina, Marta; del Río, Aurora

2018-01-01

Some errors in the learning of algebra suggest that students might have difficulties giving meaning to algebraic symbolism. In this paper, we use problem posing to analyze the students' capacity to assign meaning to algebraic symbolism and the difficulties that students encounter in this process, depending on the characteristics of the algebraic…

The name of the son. Fatherhood, motherhood and symbolic competencies

Directory of Open Access Journals (Sweden)

María Martina Casullo

2015-09-01

Full Text Available Tania Zittoun conceptions on uses of cultural elements as symbolic resources for psychological development are presented. Such uses of symbolic resources are examined through a study of the procedure of choosing first names during the transition to parenthood. The notion of symbolic competencies, as the abilities to use cultural elements as resources for thinking, action and a healthy development, is discussed. 

Basic ionizing radiation symbol

International Nuclear Information System (INIS)

1987-01-01

A description is given of the standard symbol for ionizing radiation and of the conditions under which it should not be used. The Arabic equivalent of some English technical terms in this subject is given in one page. 1 ref., 1 fig

Visual Language of World War I Propaganda on a Symbolical Plane: How a Visual Symbol is Created

Directory of Open Access Journals (Sweden)

Boris Petrović

2016-10-01

Full Text Available This work seeks to explore how certain symbols, built over time within a certain cultural context (in this case, said context being the one of western European culture, are re-contextualized within a given situation (World War I to better serve the means of propaganda. How can a visual representation of a certain symbol, thousands of years old and deeply rooted in cultural heritage, be repurposed and reshaped within months? Also, the article aims to explore the connection between the visual cannon of Orthodox icons and World War I propaganda posters.

Symbolic Computing in Probabilistic and Stochastic Analysis

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Kamiński Marcin

2015-12-01

Full Text Available The main aim is to present recent developments in applications of symbolic computing in probabilistic and stochastic analysis, and this is done using the example of the well-known MAPLE system. The key theoretical methods discussed are (i analytical derivations, (ii the classical Monte-Carlo simulation approach, (iii the stochastic perturbation technique, as well as (iv some semi-analytical approaches. It is demonstrated in particular how to engage the basic symbolic tools implemented in any system to derive the basic equations for the stochastic perturbation technique and how to make an efficient implementation of the semi-analytical methods using an automatic differentiation and integration provided by the computer algebra program itself. The second important illustration is probabilistic extension of the finite element and finite difference methods coded in MAPLE, showing how to solve boundary value problems with random parameters in the environment of symbolic computing. The response function method belongs to the third group, where interference of classical deterministic software with the non-linear fitting numerical techniques available in various symbolic environments is displayed. We recover in this context the probabilistic structural response in engineering systems and show how to solve partial differential equations including Gaussian randomness in their coefficients.

THE “TREE OF LIFE” SYMBOL IN JEWELLERY

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TEODOR-STANCIU Silviu

2017-05-01

Full Text Available History and tradition play a very important role in the development of a society. Designed objects were and are adorned with signs and symbols holding various messages and aesthetic particularities. These objects have the ability of spreading emotions through their shape, material, finishing or graphic and are made using different materials, techniques and technologies. By particularising a sign one must take into account its orientation towards certain objects regarding the significance, the culture and the historical period. The sacred geometry, a sum of shapes with religious and cultural values, can be analysed from a scientific, philosophical, aesthetic and mystic point of view. The origin, the nature and the relationship between these shapes are considered to be determined by the surrounding universe. The symbol is an intermediary which favours the communication from the visible reality to the invisible, non-figurative one. One of the shapes with a symbol value, frequently used, is the tree of life. The tree of life is a symbol dating from the Neolithic, but still applied nowadays. Bearing information and witness of the history of a civilisation, the “Tree of life” symbol inspired the artisans and artists from different cultures, being graphically readapted, both due to the technology development, as well as to the society’s maturation. The present paper presents the evolution of the “tree of life” sign, the manner in which it followed the history and civilisation flow, the diversity of objects adorned with it through various working techniques, as well as its evolution through new interpretations in the jewellery design applications. The paper presents the experiment of making a silver pendant with the “Tree of life” symbol, reinterpreted and made using a 3D program.

Symbolic interactionism and critical perspective: divergent or synergistic?

Science.gov (United States)

Burbank, Patricia M; Martins, Diane C

2010-01-01

Throughout their history, symbolic interactionism and critical perspective have been viewed as divergent theoretical perspectives with different philosophical underpinnings. A review of their historical and philosophical origins reveals both points of divergence and areas of convergence. Their underlying philosophies of science and views of human freedom are different as is their level of focus with symbolic interactionism having a micro perspective and critical perspective using a macro perspective. This micro/macro difference is reflected in the divergence of their major concepts, goals and basic tenets. While their underlying philosophies are different, however, they are not necessarily contradictory and areas of convergence may include the concepts of reference groups and looking glass self within symbolic interactionism and ideological hegemony within critical perspective. By using a pragmatic approach and combining symbolic interactionism and critical perspectives, both micro and macro levels come into focus and strategies for change across individual and societal levels can be developed and applied. Application of both symbolic interactionism and critical perspective to nursing research and scholarship offers exciting new opportunities for theory development and research methodologies. In nursing education, these two perspectives can give students added insight into patients' and families' problems at the micro level while, at the same time, giving them a lens to see and tools to apply to problems at the macro level in health care. In nursing practice, a combined symbolic interactionism/critical perspective approach assists nurses to give high-quality care at the individual level while also working at the macro level to address the manufacturers of illness. New research questions emerge from this combination of perspectives with new possibilities for theory development, a transformation in nursing education, and the potential for new practice strategies that

Advanced symbolic analysis for VLSI systems methods and applications

CERN Document Server

Shi, Guoyong; Tlelo Cuautle, Esteban

2014-01-01

This book provides comprehensive coverage of the recent advances in symbolic analysis techniques for design automation of nanometer VLSI systems. The presentation is organized in parts of fundamentals, basic implementation methods and applications for VLSI design. Topics emphasized include  statistical timing and crosstalk analysis, statistical and parallel analysis, performance bound analysis and behavioral modeling for analog integrated circuits . Among the recent advances, the Binary Decision Diagram (BDD) based approaches are studied in depth. The BDD-based hierarchical symbolic analysis approaches, have essentially broken the analog circuit size barrier. In particular, this book   • Provides an overview of classical symbolic analysis methods and a comprehensive presentation on the modern  BDD-based symbolic analysis techniques; • Describes detailed implementation strategies for BDD-based algorithms, including the principles of zero-suppression, variable ordering and canonical reduction; • Int...

Multi-scale symbolic transfer entropy analysis of EEG

Science.gov (United States)

Yao, Wenpo; Wang, Jun

2017-10-01

From both global and local perspectives, we symbolize two kinds of EEG and analyze their dynamic and asymmetrical information using multi-scale transfer entropy. Multi-scale process with scale factor from 1 to 199 and step size of 2 is applied to EEG of healthy people and epileptic patients, and then the permutation with embedding dimension of 3 and global approach are used to symbolize the sequences. The forward and reverse symbol sequences are taken as the inputs of transfer entropy. Scale factor intervals of permutation and global way are (37, 57) and (65, 85) where the two kinds of EEG have satisfied entropy distinctions. When scale factor is 67, transfer entropy of the healthy and epileptic subjects of permutation, 0.1137 and 0.1028, have biggest difference. And the corresponding values of the global symbolization is 0.0641 and 0.0601 which lies in the scale factor of 165. Research results show that permutation which takes contribution of local information has better distinction and is more effectively applied to our multi-scale transfer entropy analysis of EEG.

Assessment of the depth of anesthesia based on symbolic dynamics of the EEG

OpenAIRE

Tupaika, Nadine; Vallverdú Ferrer, Montserrat; Jospin, Mathieu; Jensen, Erik Weber; Struys, Michel M. R. F.; Vereecke, Hugo E. M.; Voss, Andreas; Caminal Magrans, Pere

2010-01-01

Methodologies based on symbolic dynamics have successfully demonstrated to reflect the nonlinear behavior of biological signals. In the present study, symbolic dynamics was applied to the electroencephalogram (EEG) in order to describe the level of depth of anesthesia. The EEG was transformed to symbol sequences. Words of three symbols were built from this symbolic series. The results obtained from the EEGs of 36 patients undergoing anesthesia showed that the probabilities of the ...

Letter and symbol identification: No evidence for letter-specific crowding mechanisms.

Science.gov (United States)

Castet, Eric; Descamps, Marine; Denis-Noël, Ambre; Colé, Pascale

2017-09-01

It has been proposed that letters, as opposed to symbols, trigger specialized crowding processes, boosting identification of the first and last letters of words. This hypothesis is based on evidence that single-letter accuracy as a function of within-string position has a W shape (the classic serial position function [SPF] in psycholinguistics) whereas an inverted V shape is obtained when measured with symbols. Our main goal was to test the robustness of the latter result. Our hypothesis was that any letter/symbol difference might result from short-term visual memory processes (due to the partial report [PR] procedures used in SPF studies) rather than from crowding. We therefore removed the involvement of short-term memory by precueing target-item position and compared SPFs with precueing and postcueing. Perimetric complexity was stringently matched between letters and symbols. In postcueing conditions similar to previous studies, we did not reproduce the inverted V shape for symbols: Clear-cut W shapes were observed with an overall smaller accuracy for symbols compared to letters. This letter/symbol difference was dramatically reduced in precueing conditions in keeping with our prediction. Our results are not consistent with the claim that letter strings trigger specialized crowding processes. We argue that PR procedures are not fit to isolate crowding processes.

14 CFR 221.200 - Content and explanation of abbreviations, reference marks and symbols.

Science.gov (United States)

2010-01-01

..., reference marks and symbols. 221.200 Section 221.200 Aeronautics and Space OFFICE OF THE SECRETARY... § 221.200 Content and explanation of abbreviations, reference marks and symbols. (a) Content. The format..., reference marks and symbols. Abbreviations, reference marks and symbols which are used in the tariff shall...

A Symbolic Approach to Permission Accounting for Concurrent Reasoning

NARCIS (Netherlands)

Huisman, Marieke; Mostowski, Wojciech

2015-01-01

Permission accounting is fundamental to modular, thread-local reasoning about concurrent programs. This paper presents a new, symbolic system for permission accounting. In existing systems, permissions are numeric value-based and refer to the current thread only. Our system is based on symbolic

Formalising Symbolic Interactionism

OpenAIRE

de Nooy, W.

2009-01-01

Symbolic interactionism is generally known as a theory typically linked with a qualitative methodology. Recent developments in quantitative social network analysis, however, can analyze processes theorized within this theoretical tradition. Thick description can be complemented with statistical analyses of network structure and dynamics, expanding the scope and detail of results. This paper argues that social network analysis can bridge the divide between qualitative and quantitative analysis...

SYSTEMATIC PRINCIPLES AND METHODS OF SYMBOLIC APPROACHES IN URBAN DESIGN

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BULAKH I. V

2015-12-01

Full Text Available Formulation of the problem. The low level of expression and personalization of mass architecture of the second half of the twentieth century connected with the spread of industrial technology and even to a greater extent with mechanistic traditionally functional relation to the average person as, abstract consumer architecture. The condition out of the critical situation is focusing on matters aesthetic, artistic understanding and harmonious image creation environment. The problem of increasing architectural and artistic level of architectural and urban planning solutions to overcome the monotony of planning and development, creating aesthetically expressive urban environment does not lose relevance over the past decades. Understanding and acceptance of enigma and dynamic development of cities encourage architects to find new design techniques that are able to provide in the future a reasonable possibility of forming artistic and aesthetic image of the modern city. Purpose. Define and systematize the principles of symbolization architectural and planning images; propose methods symbolism in the architectural planning of image of the urban environment. Conclusion based on analysis of the enhanced concept symbolizing the image of Architecture and Planning, the place, role and symbolization trends at all levels of the urban environment - planning, three-dimensional and improvement of urban areas; first identified the main stages and levels of symbolization (analohyzatsyya, schematization and alehoryzatsiya, their features and characteristics, formulated the basic principles of symbolization architectural and planning of image, namely the principles of communication between figurative analogies, transformation of subsequent circuits, switching allegorical groupings and metamorfizm ultimate goal – symbol birth .

Phonetic Symbols through Audiolingual Method to Improve the Students' Listening Skill

Science.gov (United States)

Samawiyah, Zuhrotun; Saifuddin, Muhammad

2016-01-01

Phonetic symbols present linguistics feature to how the words are pronounced or spelled and they offer a way to easily identify and recognize the words. Phonetic symbols were applied in this research to give the students clear input and a comprehension toward English words. Moreover, these phonetic symbols were applied within audio-lingual method…

Perception and multimeaning analysis of graphic symbols for Thai picture-based communication system.

Science.gov (United States)

Chompoobutr, Sarinya; Potibal, Puttachart; Boriboon, Monthika; Phantachat, Wantanee

2013-03-01

Graphic symbols are a vital part of most augmentative and alternative communication systems. Communication fluency of graphic symbol user depends on how well the relationship between symbols and its referents are learnt. The first aim of this study is to survey the perception of the selected graphic symbols across seven age groups of participants with different educational background. Sixty-five individuals identified themselves as Thai and ranged in age from 10 to 50 years participated in the investigation used 64 graphic symbols. The last aim of this study is to demonstrate the analysis of multimeaning graphic symbols, which will be used in Thai Picture-based communication system. The twenty graphic symbols with 9-14 meanings are analyzed in both syntactic and semantic aspects. The meanings are divided into five categories: noun, verb/adjective, size, color and shape. Respect to the first aim, the results suggest that the participants under investigation with different sexes, age groups, as well as various educational levels perceive the features or inherent characteristics of such graphic symbols similarly. The results of the analysis of multimeaning of graphic symbols indicate that the foundation of Minspeak, polysemy and redundancy of the words illustrates the inherit meanings of the real-life objects, and it also conveys that the Thai graphic symbols are influenced by numerous factors in Thai circumstance such as ability, motivation, experience, worldview and culture.

Semiclassical analysis of the Wigner 12j symbol with one small angular momentum

International Nuclear Information System (INIS)

Yu Liang

2011-01-01

We derive an asymptotic formula for the Wigner 12j symbol, in the limit of one small and 11 large angular momenta. There are two kinds of asymptotic formulas for the 12j symbol with one small angular momentum. We present the first kind of formula in this paper. Our derivation relies on the techniques developed in the semiclassical analysis of the Wigner 9j symbol [L. Yu and R. G. Littlejohn, Phys. Rev. A 83, 052114 (2011)], where we used a gauge-invariant form of the multicomponent WKB wave functions to derive asymptotic formulas for the 9j symbol with small and large angular momenta. When applying the same technique to the 12j symbol in this paper, we find that the spinor is diagonalized in the direction of an intermediate angular momentum. In addition, we find that the geometry of the derived asymptotic formula for the 12j symbol is expressed in terms of the vector diagram for a 9j symbol. This illustrates a general geometric connection between asymptotic limits of the various 3nj symbols. This work contributes an asymptotic formula for the 12j symbol to the quantum theory of angular momentum, and serves as a basis for finding asymptotic formulas for the Wigner 15j symbol with two small angular momenta.

Tayub as a Symbolic Interaction Medium in Sedekah Bumi Ritual in Pati Regency

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Sisca Dwi Suryani

2015-01-01

Full Text Available This study aims to find, understand, and describe the process of symbolic interaction in sedekah bumi ritual and the supporting symbols of Tayub as the symbolic interaction medium in the ritual. This study applies qualitative methods with the holistic approach. The research was conducted in Dukuh Guyangan, Desa Sidoluhur, Kecamatan Jaken, Kabupaten Pati. In collecting the data, observation, interview, and documentation technique were implemented. Further, the data were analyzed using the technique of data reduction, data presentation, drawing conclusion, as well as verification. The data was validated using the sources triangulation, the technique triangulation, and the time triangulation. Tayub as the medium of symbolic interaction realizes in four interaction processes, as follows: 1 symbolic interaction processes between the ritual actors and the spirits of ancestors reflected in kenduren procession held in punden, 2 symbolic interaction process between ledhek and pengibing that is embodied in ibingan, 3 symbolic interaction process between wiraswara and the audiences that is seen during the dance performance, 4 symbolic interaction process between pengrawit and ledhek that is reflected in the dance movements and the accompanying music. The meanings of symbol behind the ritual itself are reflected through the realization of symbolic interaction. It consists of three elements, as follows: 1 kenduren prayer, 2 offerings and ambeng, 3 Tayub dance.

Elisabeth Kubler-Ross and the Tradition of the Private Sphere: An Analysis of Symbols.

Science.gov (United States)

Klass, Dennis

1981-01-01

Shows how Kubler-Ross' schema functions as a symbol system. Analyzes the symbol "acceptance." Shows how that symbol is part of a strong American tradition of symbols of the private sphere. (Author/JAC)

Meta-Modeling by Symbolic Regression and Pareto Simulated Annealing

NARCIS (Netherlands)

Stinstra, E.; Rennen, G.; Teeuwen, G.J.A.

2006-01-01

The subject of this paper is a new approach to Symbolic Regression.Other publications on Symbolic Regression use Genetic Programming.This paper describes an alternative method based on Pareto Simulated Annealing.Our method is based on linear regression for the estimation of constants.Interval

Exact computation of the 3-j and 6-j symbols

International Nuclear Information System (INIS)

Lai Shantao; Chiu Yingnan

1990-01-01

A simple FORTRAN program for the exaxt computation of 3-j and 6-j symbols has been written for the VAX with VMS version v5.1 in our university's computing center. It goes beyond and contains all of the 3-j and 6-j symbols evaluated in the book by M. Rotenberg, R. Bivins, N. Metropolis and J.K. Wooten Jr. The 3-j symbols up to (30/m 1 30/m 2 30/m 3 ) and 6-j symbols up to {20/20 20/20 20/20} can be computed exactly by this program. Approximate values for larger j's up to (200/m 1 200/m 2 200/m 3 ) and {200/200 200/200 200/220} can also be computed by this program. (orig.)

Directed forgetting of visual symbols: evidence for nonverbal selective rehearsal.

Science.gov (United States)

Hourihan, Kathleen L; Ozubko, Jason D; MacLeod, Colin M

2009-12-01

Is selective rehearsal possible for nonverbal information? Two experiments addressed this question using the item method directed forgetting paradigm, where the advantage of remember items over forget items is ascribed to selective rehearsal favoring the remember items. In both experiments, difficult-to-name abstract symbols were presented for study, followed by a recognition test. Directed forgetting effects were evident for these symbols, regardless of whether they were or were not spontaneously named. Critically, a directed forgetting effect was observed for unnamed symbols even when the symbols were studied under verbal suppression to prevent verbal rehearsal. This pattern indicates that a form of nonverbal rehearsal can be used strategically (i.e., selectively) to enhance memory, even when verbal rehearsal is not possible.

The Strip: Las Vegas and the Symbolic Destruction of Spectacle

OpenAIRE

Al, Stefan Johannes

2010-01-01

Over the past 70 years, various actors have dramatically reconfigured the Las Vegas Strip in many forms. I claim that behind the Strip's "reinventions" lies a process of symbolic destruction. Since resorts distinguish themselves symbolically, each new round of capital accumulation relies on the destruction of symbolic capital of existing resorts. A new resort either ups the language within a paradigm, or causes a paradigm shift, which devalues the previous resorts even further. This is why, i...

The symbol between ethics and communication in Alfred Schütz

Directory of Open Access Journals (Sweden)

Massimo Vittorio

2018-03-01

Full Text Available This paper focuses on the concept of symbol and tries to out- line its function as a means of communication. In order to describe the communicative qualities of symbol, it is necessary to show its ethical nature. The paper analyses the role symbols play in intersubjective rela- tions, in the construction of the individual’s reality, and in the human ability to attribute meanings and assign functions.The conceptual frame- work for the understanding of what symbol is, how it works, and how it is made is a particular combination of phenomenology and pragma- tism, which lies on the theory of ‘appresentation’, as we can find it in Alfred Schütz’s viewpoint. The paper invites a reflection on the power of symbol, particularly on its power to communicate the incommunicable.

Effects of animation on naming and identification across two graphic symbol sets representing verbs and prepositions.

Science.gov (United States)

Schlosser, Ralf W; Koul, Rajinder; Shane, Howard; Sorce, James; Brock, Kristofer; Harmon, Ashley; Moerlein, Dorothy; Hearn, Emilia

2014-10-01

The effects of animation on naming and identification of graphic symbols for verbs and prepositions were studied in 2 graphic symbol sets in preschoolers. Using a 2 × 2 × 2 × 3 completely randomized block design, preschoolers across three age groups were randomly assigned to combinations of symbol set (Autism Language Program [ALP] Animated Graphics or Picture Communication Symbols [PCS]), symbol format (animated or static), and word class (verbs or prepositions). Children were asked to name symbols and to identify a target symbol from an array given the spoken label. Animated symbols were more readily named than static symbols, although this was more pronounced for verbs than for prepositions. ALP symbols were named more accurately than PCS in particular with prepositions. Animation did not facilitate identification. ALP symbols for prepositions were identified better than PCS, but there was no difference for verbs. Finally, older children guessed and identified symbols more effectively than younger children. Animation improves the naming of graphic symbols for verbs. For prepositions, ALP symbols are named more accurately and are more readily identifiable than PCS. Naming and identifying symbols are learned skills that develop over time. Limitations and future research directions are discussed.

The rod and the serpent: history's ultimate healing symbol.

Science.gov (United States)

Antoniou, Stavros A; Antoniou, George A; Learney, Robert; Granderath, Frank A; Antoniou, Athanasios I

2011-01-01

The snake has served as a medical emblem for more than 2400 years, since its association with the ancient Greek god of medicine and healing, Asclepius, in the 4th century BC. Its symbolic background can be traced further back to the worship of gods of earth's blossom in ancient Egypt and earth-related deities of the archaic period of Greek antiquity. It is featured entwined around a staff of knowledge and wisdom in most anaglyphs depicting Asclepius. The snake was impressed in the Old and the New Testament as well as in the Christian tradition as a symbol of sin, rejuvenation, death, resurrection, asthenia, and therapy. It is postulated that the double-snake motif was reintroduced by Renaissance philosophers as a medical emblem due to the symbolic connections of Hermes with deliverance and redemption. However, its use during the last two centuries seems to lack substantial historical background. The historical, mythological, and traditional retrospection of the snake's symbolism validates its appropriateness in the health-care field.

Between Agency and Symbolic Violence

DEFF Research Database (Denmark)

Pedersen, Bodil Maria

The Role of Symbolic Violence in Research and Policy: In Denmark it is a common assumption that gender equality, especially concerning sexual practices and other personal relations, has been fully accomplished. Consequently, public as well as professional discourses and practices concerning rape...... - could be exposed to sexualised violence. Another example is that therapy and other forms of help do not draw on critical perspectives on gender conditions. Rather, frequently and in essencialising approaches to concepts of femininity and masculinity, they individualise or over...... of this kind in public policies concerning gendered and gendering violence, it is necessary to develop critiques of aspects of symbolic violence (Beate Krais 1993), that have been conceptualised as ‘genderless gender’ by Suvi Ronkainen (2001). Thus statistic and other forms of research approaches wishing...

Five mechanisms of sound symbolic association.

Science.gov (United States)

Sidhu, David M; Pexman, Penny M

2017-08-24

Sound symbolism refers to an association between phonemes and stimuli containing particular perceptual and/or semantic elements (e.g., objects of a certain size or shape). Some of the best-known examples include the mil/mal effect (Sapir, Journal of Experimental Psychology, 12, 225-239, 1929) and the maluma/takete effect (Köhler, 1929). Interest in this topic has been on the rise within psychology, and studies have demonstrated that sound symbolic effects are relevant for many facets of cognition, including language, action, memory, and categorization. Sound symbolism also provides a mechanism by which words' forms can have nonarbitrary, iconic relationships with their meanings. Although various proposals have been put forth for how phonetic features (both acoustic and articulatory) come to be associated with stimuli, there is as yet no generally agreed-upon explanation. We review five proposals: statistical co-occurrence between phonetic features and associated stimuli in the environment, a shared property among phonetic features and stimuli; neural factors; species-general, evolved associations; and patterns extracted from language. We identify a number of outstanding questions that need to be addressed on this topic and suggest next steps for the field.

Symbolic Meaning of the Ornamental Diversity of Cirebon Batik Pegajahan

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Komarudin Kudiya

2017-05-01

Full Text Available Cirebon Batik Pegajahan is the result ofthe creative process, feeling, intention, also long thought of people who have expertise in interpreting the condition of people‘s behavior of Cirebon (palace, which was then adapted into a form of art and culture of batik fabric through a process of creativity of the craftsmen. This Batik Pegajahan grows and develops within the community of (palace Cirebon, including: Kasepuhan Palace, Kanoman, Kacirebonan, and Keprabonan. This study will explain the symbolic narrative contained in Pegajahan Cirebon batik decoration. The discussion is based on the systematic symbolic visual elements of the Pegajahan batik decoration which is based on the teachings ofthe Tarekat Syattariyah attitudes and behavior of (palace Cirebon society, form of local wisdom that is reflected in the symbolic-aesthetic elements. The research used descriptive—analytic method and ethnography, in describing the symbolic narrative found in Batik Pegajahan Cirebon, The results are in the form ofvisual data complete with symbolic narratives in Batik Pegajahan Cirebon, which represents behavior of (palace Cirebon people significantly; so it can be used as reference for further research in the reconstruction, reproducing, and formulating such ornaments as the basis for designing or guidance for the people of batik (palace Cirebon in particular. Keywords: Symbolic Narratives, Decoration of Batik Pegajahan and Tarekat Syattariyah

Algebraic formulas for some nontrivial U/sub n/ 6j symbols and U/sub m/n contains U/sub m/ x U/sub n/ 3jm symbols

International Nuclear Information System (INIS)

Haase, R.W.; Butler, P.H.

1985-01-01

We give tables of algebraic formulas for some nontrivial 6j symbols and 3jm symbols of the unitary groups. The tables demonstrate that the building-up method can be used successfully to obtain the rank dependence of unitary group j and jm symbols. To emphasize the rank-dependent nature of this calculation, we have employed the composite Young tableaux notation (or back-to-back notation) to label the unitary group irreps. In using this notation, the transpose conjugate symmetry of the corresponding composite Young diagram leads to a new symmetry of the unitary group 6j and 3jm symbols. The transposition of the groups U/sub m/ and U/sub n/ gives rise to a further symmetry of the 3jm symbols of U/sub m/n contains U/sub m/ x U/sub n/

Identifying Domain-General and Domain-Specific Predictors of Low Mathematics Performance: A Classification and Regression Tree Analysis

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David J. Purpura

2017-12-01

Full Text Available Many children struggle to successfully acquire early mathematics skills. Theoretical and empirical evidence has pointed to deficits in domain-specific skills (e.g., non-symbolic mathematics skills or domain-general skills (e.g., executive functioning and language as underlying low mathematical performance. In the current study, we assessed a sample of 113 three- to five-year old preschool children on a battery of domain-specific and domain-general factors in the fall and spring of their preschool year to identify Time 1 (fall factors associated with low performance in mathematics knowledge at Time 2 (spring. We used the exploratory approach of classification and regression tree analyses, a strategy that uses step-wise partitioning to create subgroups from a larger sample using multiple predictors, to identify the factors that were the strongest classifiers of low performance for younger and older preschool children. Results indicated that the most consistent classifier of low mathematics performance at Time 2 was children’s Time 1 mathematical language skills. Further, other distinct classifiers of low performance emerged for younger and older children. These findings suggest that risk classification for low mathematics performance may differ depending on children’s age.

Signal- and Symbol-based Representations in Computer Vision

DEFF Research Database (Denmark)

Krüger, Norbert; Felsberg, Michael

We discuss problems of signal-- and symbol based representations in terms of three dilemmas which are faced in the design of each vision system. Signal- and symbol-based representations are opposite ends of a spectrum of conceivable design decisions caught at opposite sides of the dilemmas. We make...... inherent problems explicit and describe potential design decisions for artificial visual systems to deal with the dilemmas....

Alchemical hermeneutics of the Vesica Piscis: Symbol of depth psychology

Science.gov (United States)

O'Dell, Linda Kay

The purpose of this study was to develop an understanding of the Vesica Piscis as the symbolic frame for depth psychology and the therapeutic relationship. The method of inquiry was hermeneutics and alchemical hermeneutics, informed theoretically by depth psychology. A theoretical description of the nature of the Vesica Piscis as a dynamic template and symbol for depth psychology and the therapeutic relationship resulted. Gathering the components of the therapeutic relationship into the shape of the Vesica Piscis, gave opportunity to explore what might be happening while treatment is taking place: somatically, psychologically, and emotionally. An investigation into the study of Soul placed the work of psychology within the central, innermost sacred space between—known symbolically as the Vesica Piscis. Imbued with a connectedness and relational welcoming, this symbol images the Greek goddess Hekate (Soul), as mediatrix between mind and matter. Psyche (soul), namesake of "psychology," continues her journey of finding meaning making, restitution, and solace in the therapeutic space as imaged by the Vesica Piscis. Her journey, moving through the generations, becomes the journey of the therapeutic process—one that finds resolution in relationship. Psyche is sought out in the macrocosmic archetypal realm of pure energy, the prima material that forms and coalesces both in response and likewise, creates a response through symbols, images, and imagination. The field was explored from the depth psychological perspective as: the unconscious, consciousness, and archetypal, and in physics as: the quantum field, morphic resonance, and the holographic field. Gaining an understanding of the underlying qualities of the field placed the symbol in its embedded context, allowing for further definition as to how the symbol potentially was either an extension of the field, or served as a constellating factor. Depth psychology, as a scientific discipline, is in need of a symbol that

Symbolic Interactionism and Ethnomethodology: A Perspective on Qualitiative Research.

Science.gov (United States)

Soloski, John; Daley, Patrick J.

Methods employed in social science research must be true to the phenomena under investigation. Both symbolic interactionism and ethnomethodology take everyday life as their fundamental premise. Symbolic interactionism, based primarily on the work of George Herbert Mead, is the peculiar and distinctive character of interaction as it takes place…

Operator symbols in the description of observable-state systems

International Nuclear Information System (INIS)

Lassner, G.A.

1978-01-01

For the observable-state system of finite degree of freedom N topological properties of the kernels and symbols belonging to the considered operators are investigated. For the operators of the observable algebra of rho + (delta) kernels and symbols are distributions and for density matrices p they are smooth functions

A clash of symbolic universes: Judeanism vs Hellenism | Cromhout ...

African Journals Online (AJOL)

This article investigates how Judeans responded to Hellenism in order to maintain the integrity of their ethnic identity. Judeanism and Hellenism are regarded as alternative “symbolic universes”. It is shown that Judeans used various approaches to maintain their symbolic universe. This included Berger and Luckmann's ...

Symbolic Play in the Treatment of Autism in Children.

Science.gov (United States)

Voyat, Gilbert

1982-01-01

Explores the role of symbolic play in the cognitive and psychic development of the normal child and describes the autistic child. Reviews a model treatment program for autism developed at the City College of New York, discussing the therapeutic role of symbolic play in that model. (Author/MJL)

Mathematics Curriculum in Ireland: The Influence of PISA on the Development of Project Maths

Directory of Open Access Journals (Sweden)

Liz KIRWAN

2015-12-01

Full Text Available This article interrogates the extent to which the Organization for Economic Cooperation and Development (OECD through its Programme for International Student Assessment (PISA influenced the development of Project Maths, a new second-level mathematics education policy in Ireland. It argues that the Irish government, in its revision of mathematics education policy, was strongly influenced by PISA and that concern with the country’s ‘average’ placement in the international assessment was instrumental in defining the direction of the revision. It traces the genetic imprint of PISA on the development of curriculum policy, the new mathematics syllabus, its content and assessment. It argues that Project Maths sets out to follow closely the PISA conceptual framework. However, the analysis finds that Project Maths is not a mini-PISA but that the programme is comprised of two distinct approaches, on the one hand retaining the abstract, symbolic mathematics of sections of the pre-existing curriculum, while on the other emphasizing a PISA-like approach to pedagogy and to real-life problem solving.

Symbolic comparisons of objects on color attributes.

Science.gov (United States)

Paivio, A; te Linde, J

1980-11-01

Symbolic comparisons of object brightness and color were investigated in two experiments using words and outline drawings as stimuli. Both experiments yielded orderly symbolic distance effects. Contrary to prediction, no reliable picture advantages emerged. For color comparison, individual differences in word fluency and color memory predicted decision time with word stimuli. These results contrast sharply with those of previous comparison studies involving concrete dimensions. The results are discussed in terms of dual-coding theory and the role of verbal mechanisms in memory for object color.

The 1989 progress report: Mathematics

International Nuclear Information System (INIS)

Demazure, M.

1989-01-01

The 1989 progress report of the laboratory of Mathematics of the Polytechnic School (France) is presented. The investigations reported were performed in the following fields: analysis of nonlinear partial differential equations, quantum mechanics, scattering, fluid dynamics and homogenization, equations, varieties with negative curvature, elliptical problems on surfaces, Dirac operator, geometry of algorithms and formal calculus, singularities, Lie groups, dynamics systems. The published papers, the conferences and the Laboratory staff are listed [fr

The role of health-related claims and health-related symbols in consumer behaviour: Design and conceptual framework of the CLYMBOL project and initial results

Science.gov (United States)

Hieke, S; Kuljanic, N; Wills, J M; Pravst, I; Kaur, A; Raats, M M; van Trijp, H C M; Verbeke, W; Grunert, K G

2015-01-01

Health claims and symbols are potential aids to help consumers identify foods that are healthier options. However, little is known as to how health claims and symbols are used by consumers in real-world shopping situations, thus making the science-based formulation of new labelling policies and the evaluation of existing ones difficult. The objective of the European Union-funded project Role of health-related CLaims and sYMBOLs in consumer behaviour (CLYMBOL) is to determine how health-related information provided through claims and symbols, in their context, can affect consumer understanding, purchase and consumption. To do this, a wide range of qualitative and quantitative consumer research methods are being used, including product sampling, sorting studies (i.e. how consumers categorise claims and symbols according to concepts such as familiarity and relevance), cross-country surveys, eye-tracking (i.e. what consumers look at and for how long), laboratory and in-store experiments, structured interviews, as well as analysis of population panel data. EU Member States differ with regard to their history of use and regulation of health claims and symbols prior to the harmonisation of 2006. Findings to date indicate the need for more structured and harmonised research on the effects of health claims and symbols on consumer behaviour, particularly taking into account country-wide differences and individual characteristics such as motivation and ability to process health-related information. Based on the studies within CLYMBOL, implications and recommendations for stakeholders such as policymakers will be provided. PMID:25750587

The Symbolism of Death in the Later Middle Ages.

Science.gov (United States)

Helgeland, John

1985-01-01

Discusses the gruesome images of death occurring in medieval art and letters. Suggests that the images are a form of symbolism based on body metaphors. By means of decomposing bodies, artists and poets symbolized the disintegration of medieval institutions and the transition to the early modern period in Europe. (JAC)

Adapting the Jukun Traditional Symbols for Textile Design and ...

African Journals Online (AJOL)

The uniqueness of Africa is not because of its geographical location, but because of its diverse rich cultural heritage, symbolic operation and adages that surround the entire spectrum of human learning, reasoning, and communication. This research work on adaptation of the Jukun cultural symbols for textile design gives a ...

Multi-core symbolic bisimulation minimisation

NARCIS (Netherlands)

Dijk, Tom van; Pol, Jaco van de

2017-01-01

We introduce parallel symbolic algorithms for bisimulation minimisation, to combat the combinatorial state space explosion along three different paths. Bisimulation minimisation reduces a transition system to the smallest system with equivalent behaviour. We consider strong and branching

Quantification of cardiorespiratory interactions based on joint symbolic dynamics.

Science.gov (United States)

Kabir, Muammar M; Saint, David A; Nalivaiko, Eugene; Abbott, Derek; Voss, Andreas; Baumert, Mathias

2011-10-01

Cardiac and respiratory rhythms are highly nonlinear and nonstationary. As a result traditional time-domain techniques are often inadequate to characterize their complex dynamics. In this article, we introduce a novel technique to investigate the interactions between R-R intervals and respiratory phases based on their joint symbolic dynamics. To evaluate the technique, electrocardiograms (ECG) and respiratory signals were recorded in 13 healthy subjects in different body postures during spontaneous and controlled breathing. Herein, the R-R time series were extracted from ECG and respiratory phases were obtained from abdomen impedance belts using the Hilbert transform. Both time series were transformed into ternary symbol vectors based on the changes between two successive R-R intervals or respiratory phases. Subsequently, words of different symbol lengths were formed and the correspondence between the two series of words was determined to quantify the interaction between cardiac and respiratory cycles. To validate our results, respiratory sinus arrhythmia (RSA) was further studied using the phase-averaged characterization of the RSA pattern. The percentage of similarity of the sequence of symbols, between the respective words of the two series determined by joint symbolic dynamics, was significantly reduced in the upright position compared to the supine position (26.4 ± 4.7 vs. 20.5 ± 5.4%, p cardiorespiratory interaction that is highly sensitive to the effects of orthostatic challenge.

The Power of Symbolic Play in Emotional Development through the DIR Lens

Science.gov (United States)

Wieder, Serena

2017-01-01

Symbolic play is a powerful vehicle for supporting emotional development and communication. It embraces all developmental capacities. This article describes how symbols are formed and how emotional themes are symbolized whereby children reveal their understanding of the world, their feelings and relationships, and how they see themselves in the…

9 CFR 590.412 - Form of official identification symbol and inspection mark.

Science.gov (United States)

2010-01-01

... 9 Animals and Animal Products 2 2010-01-01 2010-01-01 false Form of official identification symbol... PRODUCTS INSPECTION ACT) Identifying and Marking Product § 590.412 Form of official identification symbol... official identification symbol for purposes of this part and, when used, imitated, or simulated in any...

The role of mathematical models in understanding pattern formation in developmental biology.

Science.gov (United States)

Umulis, David M; Othmer, Hans G

2015-05-01

In a Wall Street Journal article published on April 5, 2013, E. O. Wilson attempted to make the case that biologists do not really need to learn any mathematics-whenever they run into difficulty with numerical issues, they can find a technician (aka mathematician) to help them out of their difficulty. He formalizes this in Wilsons Principle No. 1: "It is far easier for scientists to acquire needed collaboration from mathematicians and statisticians than it is for mathematicians and statisticians to find scientists able to make use of their equations." This reflects a complete misunderstanding of the role of mathematics in all sciences throughout history. To Wilson, mathematics is mere number crunching, but as Galileo said long ago, "The laws of Nature are written in the language of mathematics[Formula: see text] the symbols are triangles, circles and other geometrical figures, without whose help it is impossible to comprehend a single word." Mathematics has moved beyond the geometry-based model of Galileo's time, and in a rebuttal to Wilson, E. Frenkel has pointed out the role of mathematics in synthesizing the general principles in science (Both point and counter-point are available in Wilson and Frenkel in Notices Am Math Soc 60(7):837-838, 2013). We will take this a step further and show how mathematics has been used to make new and experimentally verified discoveries in developmental biology and how mathematics is essential for understanding a problem that has puzzled experimentalists for decades-that of how organisms can scale in size. Mathematical analysis alone cannot "solve" these problems since the validation lies at the molecular level, but conversely, a growing number of questions in biology cannot be solved without mathematical analysis and modeling. Herein, we discuss a few examples of the productive intercourse between mathematics and biology.

A longitudinal assessment of vocabulary retention in symbol-competent chimpanzees (Pan troglodytes).

Science.gov (United States)

Beran, Michael J; Heimbauer, Lisa A

2015-01-01

A number of studies from the 1960s to 1990s assessed the symbolic competence of great apes and other animals. These studies provided varying forms of evidence that some species were capable of symbolically representing their worlds, both through productive symbol use and comprehension of symbolic stimuli. One such project at the Language Research Center involved training chimpanzees (Pan troglodytes) to use lexigram symbols (geometric visual stimuli that represented objects, actions, locations, and individuals). Those studies now are more than 40 years old, and only a few of the apes involved in those studies are still alive. Three of these chimpanzees (and a fourth, control chimpanzee) were assessed across a 10-year period from 1999 to 2008 for their continued knowledge of lexigram symbols and, in the case of one chimpanzee, the continued ability to comprehend human speech. This article describes that longitudinal assessment and outlines the degree to which symbol competence was retained by these chimpanzees across that decade-long period. All chimpanzees showed retention of lexigram vocabularies, although there were differences in the number of words that were retained across the individuals. One chimpanzee also showed continual retention of human speech perception. These retained vocabularies largely consisted of food item names, but also names of inedible objects, locations, individuals, and some actions. Many of these retained words were for things that are not common in the daily lives of the chimpanzees and for things that are rarely requested by the chimpanzees. Thus, the early experiences of these chimpanzees in symbol-rich environments have produced long-lasting memories for symbol meaning, and those competencies have benefited research in a variety of topics in comparative cognition.

Teachers’ learning and assessing of mathematical processes with emphasis on representations, reasoning and proof

Directory of Open Access Journals (Sweden)

Satsope Maoto

2018-03-01

Full Text Available This article focuses mainly on two key mathematical processes (representation, and reasoning and proof. Firstly, we observed how teachers learn these processes and subsequently identify what and how to assess learners on the same processes. Secondly, we reviewed one teacher’s attempt to facilitate the learning of the processes in his classroom. Two interrelated questions were pursued: ‘what are the teachers’ challenges in learning mathematical processes?’ and ‘in what ways are teachers’ approaches to learning mathematical processes influencing how they assess their learners on the same processes?’ A case study was undertaken involving 10 high school mathematics teachers who enrolled for an assessment module towards a Bachelor in Education Honours degree in mathematics education. We present an interpretive analysis of two sets of data. The first set consisted of the teachers’ written responses to a pattern searching activity. The second set consisted of a mathematical discourse on matchstick patterns in a Grade 9 class. The overall finding was that teachers rush through forms of representation and focus more on manipulation of numerical representations with a view to deriving symbolic representation. Subsequently, this unidirectional approach limits the scope of assessment of mathematical processes. Interventions with regard to the enhancement of these complex processes should involve teachers’ actual engagements in and reflections on similar learning.

A History of Building 828, Sandia National Laboratories

Energy Technology Data Exchange (ETDEWEB)

Ullrich, Rebecca

1999-08-01

This report documents the history of Building 828 in Sandia National Laboratories' Technical Area I. Building 828 was constructed in 1946 as a mechanical test laboratory for Los Alamos' Z-Division (later Sandia) as it moved to Sandia Base. The building has undergone significant remodeling over the years and has had a variety of occupants. The building was evaluated in compliance with the National Historic Preservation Act, but was not eligible for the National Register of Historic Places. Nevertheless, for many Labs employees, it was a symbol of Sandia's roots in World War II and the Manhattan Project.

Symbolic transfer entropy-based premature signal analysis

International Nuclear Information System (INIS)

Wang Jun; Yu Zheng-Feng

2012-01-01

In this paper, we use symbolic transfer entropy to study the coupling strength between premature signals. Numerical experiments show that three types of signal couplings are in the same direction. Among them, normal signal coupling is the strongest, followed by that of premature ventricular contractions, and that of atrial premature beats is the weakest. The T test shows that the entropies of the three signals are distinct. Symbolic transfer entropy requires less data, can distinguish the three types of signals and has very good computational efficiency. (interdisciplinary physics and related areas of science and technology)

The Changing Role of Sound-Symbolism for Small Versus Large Vocabularies.

Science.gov (United States)

Brand, James; Monaghan, Padraic; Walker, Peter

2017-12-12

Natural language contains many examples of sound-symbolism, where the form of the word carries information about its meaning. Such systematicity is more prevalent in the words children acquire first, but arbitrariness dominates during later vocabulary development. Furthermore, systematicity appears to promote learning category distinctions, which may become more important as the vocabulary grows. In this study, we tested the relative costs and benefits of sound-symbolism for word learning as vocabulary size varies. Participants learned form-meaning mappings for words which were either congruent or incongruent with regard to sound-symbolic relations. For the smaller vocabulary, sound-symbolism facilitated learning individual words, whereas for larger vocabularies sound-symbolism supported learning category distinctions. The changing properties of form-meaning mappings according to vocabulary size may reflect the different ways in which language is learned at different stages of development. Copyright © 2017 The Authors. Cognitive Science published by Wiley Periodicals, Inc. on behalf of Cognitive Science Society.

Disparity Disambiguation by Fusion of Signal and Symbolic-Level Information

DEFF Research Database (Denmark)

Ralli, J.; Diaz, J.; Ros, E.

2012-01-01

We describe a method for resolving ambiguities in low-level disparity calculations in a stereo-vision scheme by using a recurrent mechanism that we call signal-symbol loop. Due to the local nature of low-level processing it is not always possible to estimate the correct disparity values produced...... at this level. Symbolic abstraction of the signal produces robust, high confidence, multimodal image features which can be used to interpret the scene more accurately and therefore disambiguate low-level interpretations by biasing the correct disparity. The fusion process is capable of producing more accurate...... dense disparity maps than the low- and symbolic-level algorithms can produce independently. Therefore we describe an efficient fusion scheme that allows symbolic- and low-level cues to complement each other, resulting in a more accurate and dense disparity representation of the scene....

Sacred Symbols in Dimitrie Gavrilean’s Paintings

Directory of Open Access Journals (Sweden)

Emilian Adrian Gavrilean

2016-05-01

Full Text Available This year, on the 12th of July, there are four years since the passing away of the painter Dimitrie Gavrilean who, ,”through the unique impresion of his originality, early became an emblem of the school of painting of Iasi.” Born in Voroneţ, in 1942, Dimitrie Gavrilean attended ”Nicolae Grigorescu” Academy of Arts of Bucharest, being an eminent disciple of the master Corneliu Baba. The work in the creation workshop was combined with the vocation of teacher at the Faculty of Visual Arts and Design within ”G. Enescu” University of Arts of Iaşi, being a rector of this institution in the period 2000-2004. In the contemporary plastic landscape, the artistic work of the painter Dimitrie Gavrilean (1942-2012 from Iaşi occupies a special place. It mirrors the utmost of the autochthonous rural imaginary, the Romanian fundamental myths, the ancestral myths as well as the recently Christianized ones. His vision is specific to the Romanian Christianity and the Byzantine iconography. The language of Gavrilean’s paintings is one of symbols, by excellence. As Emil Staco rightfully observed, the entire work of art of master Gavrilean is ”a work of art of the symbols, of the metaphors rooted in the spirituality of the Romanian village of Bukovina, in the frescoes of Voroneţ and Humor Monasteries.” On the one hand, the painter did not content himself with illustrating only the ancestral mythical world by means of symbols with universal valences, but he got actively involved in the Christian valorization of mythical symbols. On the other hand, by integrating sacred symbols (the dove, the cock, winged characters, the wise old man, the architecture-church, the sun, Voroneţ blue of the Christian iconography of Byzantine tradition in paintings not necessarily religious, Dimitrie Gavrilean pushed his work of art to the border between sacred and profane, proving an extraordinary capacity of spiritualizing matter as well as of materializing the

Manual of symbols and terminology for physicochemical quantities and units

CERN Document Server

Whiffen, D H

2013-01-01

Manual of Symbols and Terminology for Physicochemical Quantities and Units, 1979 Edition contains physical quantity tabulations of products. The Commission on Symbols, Terminology, and Units is a part of the Division of Physical Chemistry of the International Union of Pure and Applied Chemistry. Its general responsibilities are to secure clarity and precision, and wider agreement in the use of symbols, by chemists in different countries, among physicists, chemists, and engineers, and by editors of scientific journals. This book is composed of 13 chapters, and begins with the determination o

Convolution-based classification of audio and symbolic representations of music

DEFF Research Database (Denmark)

Velarde, Gissel; Cancino Chacón, Carlos; Meredith, David

2018-01-01

We present a novel convolution-based method for classification of audio and symbolic representations of music, which we apply to classification of music by style. Pieces of music are first sampled to pitch–time representations (piano-rolls or spectrograms) and then convolved with a Gaussian filter......-class composer identification, methods specialised for classifying symbolic representations of music are more effective. We also performed experiments on symbolic representations, synthetic audio and two different recordings of The Well-Tempered Clavier by J. S. Bach to study the method’s capacity to distinguish...

The application of brain-based learning principles aided by GeoGebra to improve mathematical representation ability

Science.gov (United States)

Priatna, Nanang

2017-08-01

The use of Information and Communication Technology (ICT) in mathematics instruction will help students in building conceptual understanding. One of the software products used in mathematics instruction is GeoGebra. The program enables simple visualization of complex geometric concepts and helps improve students' understanding of geometric concepts. Instruction applying brain-based learning principles is one oriented at the efforts of naturally empowering the brain potentials which enable students to build their own knowledge. One of the goals of mathematics instruction in school is to develop mathematical communication ability. Mathematical representation is regarded as a part of mathematical communication. It is a description, expression, symbolization, or modeling of mathematical ideas/concepts as an attempt of clarifying meanings or seeking for solutions to the problems encountered by students. The research aims to develop a learning model and teaching materials by applying the principles of brain-based learning aided by GeoGebra to improve junior high school students' mathematical representation ability. It adopted a quasi-experimental method with the non-randomized control group pretest-posttest design and the 2x3 factorial model. Based on analysis of the data, it is found that the increase in the mathematical representation ability of students who were treated with mathematics instruction applying the brain-based learning principles aided by GeoGebra was greater than the increase of the students given conventional instruction, both as a whole and based on the categories of students' initial mathematical ability.

The application of grounded theory and symbolic interactionism.

Science.gov (United States)

Jeon, Yun-Hee

2004-09-01

This paper describes the methodological and theoretical context and underpinnings of a study that examined community psychiatric nurses' work with family caregivers of older people with depression. The study used grounded theory research methods, with its theoretical foundations drawn from symbolic interactionism. The aims of the study were to describe and conceptualize the processes involved when community nurses work and interact with family caregivers and to develop an explanatory theory of these processes. This paper begins with an explanation of the rationale for using grounded theory as the method of choice, followed by a discussion of the theoretical underpinnings of the study, including a brief summary of the nature and origins of symbolic interactionism. Key premises of symbolic interactionism regarded as central to the study are outlined and an analytical overview of the grounded theory method is provided. The paper concludes with a commentary on some of the issues and debates in the use of grounded theory in nursing research. The main purpose of this paper is to provide a methodical and critical review of symbolic interactionism and grounded theory that can help readers, particularly those who are intending to use grounded theory, better understand the processes involved in applying this method to their research.

The European Union’s Institutionalisation of Symbols and Myths

DEFF Research Database (Denmark)

Manners, Ian James

2014-01-01

“The paper examines the formal institutionalisation of symbols and myths by EU institutions such as the Commission, Parliament and Council. It asks the question: What roles does the EU institutionalisation of symbols and myths play in the processes of European integration? The paper argues that i...... risk, and climate and resource concerns.”...

adapting the jukun traditional symbols for textile design and ...

African Journals Online (AJOL)

Theophilus

weavers and dyers have already disappeared, and the technique of the craft is no longer in practice. ... social consequences. Symbols form .... Figure.13c. Figure 13a, b, c, is a mix media drawings of some extracted Jukun symbols drawn on .... Figure.30.Title; Adire asankweshi-(constructed calabash for music from fi 13b).

Mathematical and physical theory of turbulence

CERN Document Server

Cannon, John

2006-01-01

Although the current dynamical system approach offers several important insights into the turbulence problem, issues still remain that present challenges to conventional methodologies and concepts. These challenges call for the advancement and application of new physical concepts, mathematical modeling, and analysis techniques. Bringing together experts from physics, applied mathematics, and engineering, Mathematical and Physical Theory of Turbulence discusses recent progress and some of the major unresolved issues in two- and three-dimensional turbulence as well as scalar compressible turbulence. Containing introductory overviews as well as more specialized sections, this book examines a variety of turbulence-related topics. The authors concentrate on theory, experiments, computational, and mathematical aspects of Navier-Stokes turbulence; geophysical flows; modeling; laboratory experiments; and compressible/magnetohydrodynamic effects. The topics discussed in these areas include finite-time singularities a...

9 CFR 592.310 - Form of official identification symbol and inspection mark.

Science.gov (United States)

2010-01-01

... 9 Animals and Animal Products 2 2010-01-01 2010-01-01 false Form of official identification symbol... Identifying and Marking Products § 592.310 Form of official identification symbol and inspection mark. (a) The shield set forth in Figure 1, containing the letters “USDA,” shall be the official identification symbol...

Expressions of manipulator kinematic equations via symbolic computation

International Nuclear Information System (INIS)

Sasaki, Shinobu

1993-09-01

While it is simple in principle to determine the position and orientation of the manipulator hand, its computational process has been regarded as extremely laborious since trigonometric functions must be calculated many times in operations of revolute or rotation. Due to development of a general class of kinematic algorithm based on iterative methods, however, we have come to a satisfactory settlement of this problem. In the present article, we consider to construct symbolic kinematic equations in an automatic fashion making use of the algorithm. To this end, recursive expressions are applied to a symbolic computation system REDUCE. As a concrete result, a complete kinematic model for a six-jointed arm having all kinematic attributes is provided. Together with work space analysis, the computer-aided generation of kinematic equations in symbolic form will serve to liberate us from their cumbersome derivations. (author)

The motion behind the symbols: a vital role for dynamism in the conceptualization of limits and continuity in expert mathematics.

Science.gov (United States)

Marghetis, Tyler; Núñez, Rafael

2013-04-01

The canonical history of mathematics suggests that the late 19th-century "arithmetization" of calculus marked a shift away from spatial-dynamic intuitions, grounding concepts in static, rigorous definitions. Instead, we argue that mathematicians, both historically and currently, rely on dynamic conceptualizations of mathematical concepts like continuity, limits, and functions. In this article, we present two studies of the role of dynamic conceptual systems in expert proof. The first is an analysis of co-speech gesture produced by mathematics graduate students while proving a theorem, which reveals a reliance on dynamic conceptual resources. The second is a cognitive-historical case study of an incident in 19th-century mathematics that suggests a functional role for such dynamism in the reasoning of the renowned mathematician Augustin Cauchy. Taken together, these two studies indicate that essential concepts in calculus that have been defined entirely in abstract, static terms are nevertheless conceptualized dynamically, in both contemporary and historical practice. Copyright © 2013 Cognitive Science Society, Inc.

Symbolic loss in American adolescents: mourning in teenage cinema.

Science.gov (United States)

Kramp, Joseph M

2014-04-01

I argue that the changing economic conditions in the contemporary world have caused a shift in religious and cultural values among American youth. This shift in cultural and religious values and practices is interpreted in this essay as an experience of symbolic loss, or a loss of socially shared historic ideals and symbols (Homans in Childhood and selfhood: essays on tradition, religion, and modernity in the psychology of Erik H. Erikson. Bucknell University Press, Lewisburg, pp 189-228, 2008). I argue that the symbolic loss among American youth can most clearly be seen in the contemporary horror film genre in America. I assess the popularity of this genre, its value structure and the psychosocial consequences of the symbolic losses experienced by American youth as witnessed in this film genre. I suggest two ways in which adolescents and adults can work to re-create cultural and religious meanings that both foster courage and serenity in the face of the profound despair that accompanies the rage and paranoia in the contemporary horror film genre.