WorldWideScience

Sample records for terminating proof search

  1. Proof Nets for Lambek Calculus

    NARCIS (Netherlands)

    Roorda, Dirk

    1992-01-01

    The proof nets of linear logic are adapted to the non-commutative Lambek calculus. A different criterion for soundness of proof nets is given, which gives rise to new algorithms for proof search. The order sensitiveness of the Lambek calculus is reflected by the planarity condition on proof nets;

  2. An Architecture for Proof Planning Systems

    OpenAIRE

    Dennis, Louise Abigail

    2005-01-01

    This paper presents a generic architecture for proof planning systems in terms of an interaction between a customisable proof module and search module. These refer to both global and local information contained in reasoning states.

  3. Automated termination proofs for logic programs by term rewriting

    NARCIS (Netherlands)

    Schneider-Kamp, P.; Giesl, J.; Serebrenik, A.; Thiemann, R.

    2009-01-01

    There are two kinds of approaches for termination analysis of logic programs: "transformational" and "direct" ones. Direct approaches prove termination directly on the basis of the logic program. Transformational approaches transform a logic program into a Term Rewrite System (TRS) and then analyze

  4. Analyzing Program Termination and Complexity Automatically with AProVE

    DEFF Research Database (Denmark)

    Giesl, Jürgen; Aschermann, Cornelius; Brockschmidt, Marc

    2017-01-01

    In this system description, we present the tool AProVE for automatic termination and complexity proofs of Java, C, Haskell, Prolog, and rewrite systems. In addition to classical term rewrite systems (TRSs), AProVE also supports rewrite systems containing built-in integers (int-TRSs). To analyze...... programs in high-level languages, AProVE automatically converts them to (int-)TRSs. Then, a wide range of techniques is employed to prove termination and to infer complexity bounds for the resulting rewrite systems. The generated proofs can be exported to check their correctness using automatic certifiers...

  5. Towards an Intelligent Tutor for Mathematical Proofs

    Directory of Open Access Journals (Sweden)

    Serge Autexier

    2012-02-01

    Full Text Available Computer-supported learning is an increasingly important form of study since it allows for independent learning and individualized instruction. In this paper, we discuss a novel approach to developing an intelligent tutoring system for teaching textbook-style mathematical proofs. We characterize the particularities of the domain and discuss common ITS design models. Our approach is motivated by phenomena found in a corpus of tutorial dialogs that were collected in a Wizard-of-Oz experiment. We show how an intelligent tutor for textbook-style mathematical proofs can be built on top of an adapted assertion-level proof assistant by reusing representations and proof search strategies originally developed for automated and interactive theorem proving. The resulting prototype was successfully evaluated on a corpus of tutorial dialogs and yields good results.

  6. The bounded proof property via step algebras and step frames

    NARCIS (Netherlands)

    Bezhanishvili, N.; Ghilardi, Silvio

    2013-01-01

    We develop a semantic criterion for a specific rule-based calculus Ax axiomatizing a given logic L to have the so-called bounded proof property. This property is a kind of an analytic subformula property limiting the proof search space. Our main tools are one-step frames and one-step algebras. These

  7. Vehicle Infrastructure Integration Proof of Concept Executive Summary – Vehicle Submitted

    Science.gov (United States)

    2009-05-19

    This report summarizes a program of work resulting from a Cooperative Agreement between USDOT and the VII Consortium to develop and test a Proof of Concept VII system based on DSRC wireless communication between an infrastructure and mobile terminals...

  8. 12 CFR 308.124 - Involuntary termination of insured status for failure to receive deposits.

    Science.gov (United States)

    2010-01-01

    ... termination date. If, upon consideration of the affidavits, other written proof, and legal arguments, the... has evidence that an insured depository institution is not engaged in the business of receiving... period as is prescribed in the notice, to submit affidavits, other written proof, and any legal arguments...

  9. Beyond band termination in 157Er and the search for wobbling excitations in strongly deformed 174Hf

    International Nuclear Information System (INIS)

    Riley, M A; Djongolov, M K; Evans, A O

    2005-01-01

    High-spin terminating bands in heavy nuclei were first identified in nuclei around 158 Er 90 . While examples of special terminating states have been identified in a number of erbium isotopes, almost nothing is known about the states lying beyond band termination. In the present work the high-spin structure of 157 Er has been studied using the Gammasphere spectrometer. The subject of triaxial superdeformation and 'wobbling' modes in Lu nuclei has rightly attracted a great deal of attention. Very recently, four strongly or superdeformed (SD) sequences have been observed in 174 Hf and ultimate cranker calculations predict such structures may have significant triaxial deformation. We have performed two experiments in an attempt to verify the possible triaxial nature of these bands. A lifetime measurement was performed to confirm the large (and similar) deformation of the bands. In addition, a high-statistics, thin-target experiment was run to search for linking transitions between the SD bands and possible wobbling modes

  10. Design of a search and rescue terminal based on the dual-mode satellite and CDMA network

    Science.gov (United States)

    Zhao, Junping; Zhang, Xuan; Zheng, Bing; Zhou, Yubin; Song, Hao; Song, Wei; Zhang, Meikui; Liu, Tongze; Zhou, Li

    2010-12-01

    The current goal is to create a set of portable terminals with GPS/BD2 dual-mode satellite positioning, vital signs monitoring and wireless transmission functions. The terminal depends on an ARM processor to collect and combine data related to vital signs and GPS/BD2 location information, and sends the message to headquarters through the military CDMA network. It integrates multiple functions as a whole. The satellite positioning and wireless transmission capabilities are integrated into the motherboard, and the vital signs sensors used in the form of belts communicate with the board through Bluetooth. It can be adjusted according to the headquarters' instructions. This kind of device is of great practical significance for operations during disaster relief, search and rescue of the wounded in wartime, non-war military operations and other special circumstances.

  11. Combinatorial Proofs and Algebraic Proofs

    Indian Academy of Sciences (India)

    Permanent link: https://www.ias.ac.in/article/fulltext/reso/018/07/0630-0645. Keywords. Combinatorial proof; algebraic proof; binomial identity; recurrence relation; composition; Fibonacci number; Fibonacci identity; Pascal triangle. Author Affiliations. Shailesh A Shirali1. Sahyadri School Tiwai Hill, Rajgurunagar Pune 410 ...

  12. Cut-Elimination and Proof Search for Bi-Intuitionistic Tense Logic

    OpenAIRE

    Gore, Rajeev; Postniece, Linda; Tiu, Alwen

    2010-01-01

    We consider an extension of bi-intuitionistic logic with the traditional modalities from tense logic Kt. Proof theoretically, this extension is obtained simply by extending an existing sequent calculus for bi-intuitionistic logic with typical inference rules for the modalities used in display logics. As it turns out, the resulting calculus, LBiKt, seems to be more basic than most intuitionistic tense or modal logics considered in the literature, in particular, those studied by Ewald and Simps...

  13. Understanding mathematical proof

    CERN Document Server

    Taylor, John

    2014-01-01

    Introduction The need for proof The language of mathematics Reasoning Deductive reasoning and truth Example proofs Logic and ReasoningIntroduction Propositions, connectives, and truth tables Logical equivalence and logical implication Predicates and quantification Logical reasoning Sets and Functions Introduction Sets and membership Operations on setsThe Cartesian product Functions and composite functions Properties of functions The Structure of Mathematical ProofsIntroduction Some proofs dissected An informal framework for proofs Direct proof A more formal framework Finding Proofs Direct proo

  14. Student Teachers’ Proof Schemes on Proof Tasks Involving Inequality: Deductive or Inductive?

    Science.gov (United States)

    Rosyidi, A. H.; Kohar, A. W.

    2018-01-01

    Exploring student teachers’ proof ability is crucial as it is important for improving the quality of their learning process and help their future students learn how to construct a proof. Hence, this study aims at exploring at the proof schemes of student teachers in the beginning of their studies. Data were collected from 130 proofs resulted by 65 Indonesian student teachers on two proof tasks involving algebraic inequality. To analyse, the proofs were classified into the refined proof schemes level proposed by Lee (2016) ranging from inductive, which only provides irrelevant inferences, to deductive proofs, which consider addressing formal representation. Findings present several examples of each of Lee’s level on the student teachers’ proofs spanning from irrelevant inferences, novice use of examples or logical reasoning, strategic use examples for reasoning, deductive inferences with major and minor logical coherence, and deductive proof with informal and formal representation. Besides, it was also found that more than half of the students’ proofs coded as inductive schemes, which does not meet the requirement for doing the proof for the proof tasks examined in this study. This study suggests teacher educators in teacher colleges to reform the curriculum regarding proof learning which can accommodate the improvement of student teachers’ proving ability from inductive to deductive proof as well from informal to formal proof.

  15. Complexity Analysis of Precedence Terminating Infinite Graph Rewrite Systems

    Directory of Open Access Journals (Sweden)

    Naohi Eguchi

    2015-05-01

    Full Text Available The general form of safe recursion (or ramified recurrence can be expressed by an infinite graph rewrite system including unfolding graph rewrite rules introduced by Dal Lago, Martini and Zorzi, in which the size of every normal form by innermost rewriting is polynomially bounded. Every unfolding graph rewrite rule is precedence terminating in the sense of Middeldorp, Ohsaki and Zantema. Although precedence terminating infinite rewrite systems cover all the primitive recursive functions, in this paper we consider graph rewrite systems precedence terminating with argument separation, which form a subclass of precedence terminating graph rewrite systems. We show that for any precedence terminating infinite graph rewrite system G with a specific argument separation, both the runtime complexity of G and the size of every normal form in G can be polynomially bounded. As a corollary, we obtain an alternative proof of the original result by Dal Lago et al.

  16. Writing proofs in analysis

    CERN Document Server

    Kane, Jonathan M

    2016-01-01

    This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical induction, and presented with a series of well-written proofs to mimic, this textbook teaches what a student needs to be thinking about when trying to construct a proof. Covering the fundamentals of analysis sufficient for a typical beginning Real Analysis course, it never loses sight of the fact that its primary focus is about proof writing skills. This book aims to give the student precise training in the writing of proofs by explaining exactly what elements make up a correct proof, how one goes about constructing an acceptable proof, and, by learning to recognize a correct proof, how to avoid writing incorrect proofs. T...

  17. A Two-terminal Active Capacitor

    DEFF Research Database (Denmark)

    Wang, Haoran; Wang, Huai

    2017-01-01

    This letter proposes a concept of two-terminal active capacitor implemented by power semiconductor switches and passive elements. The active capacitor has the same level of convenience as a passive one with two power terminals only. It is application independent and can be specified by rated...... voltage, ripple current, equivalent series resistance, and operational frequency range. The concept, control method, self-power scheme, and impedance characteristics of the active capacitor are presented. A case study of the proposed active capacitor for a capacitive DC-link application is discussed....... The results reveal a significantly lower overall energy storage of passive elements and a reduced cost to fulfill a specific reliability target, compared to a passive capacitor solution. Proof-of-concept experimental results are given to verify the functionality of the proposed capacitor....

  18. PROOF on Demand

    International Nuclear Information System (INIS)

    Malzacher, Peter; Manafov, Anar

    2010-01-01

    PROOF on Demand (PoD) is a set of utilities, which allows starting a PROOF cluster at user request, on any resource management system. It provides a plug-in based system, which allows to use different job submission frontends, such as LSF or gLite WMS. Main components of PoD are the PROOFAgent and the PAConsole. PROOFAgent provides the communication layer between the PROOF master on the local machine and the PROOF workers on the remote resources, possibly behind a firewall. PAConsole provides a user-friendly GUI, which is used to setup, manage, and shutdown the dynamic PROOF cluster. Installation is simple and doesn't require administrator privileges, and all the processes run in user space. PoD gives users, who don't have a centrally-administrated static PROOF cluster at their institute, the possibility to enjoy the full power of interactive analysis with PROOF.

  19. Proof in geometry with "mistakes in geometric proofs"

    CERN Document Server

    Fetisov, A I

    2006-01-01

    This single-volume compilation of 2 books explores the construction of geometric proofs. It offers useful criteria for determining correctness and presents examples of faulty proofs that illustrate common errors. 1963 editions.

  20. Proofs without Words: A Visual Application of Reasoning and Proof

    Science.gov (United States)

    Bell, Carol J.

    2011-01-01

    Reasoning and Proof is one of the Process Standards set forth in National Council of Teachers of Mathematics' (NCTM) "Principles and Standards for School Mathematics." Thus, it is important to give students opportunities to build their reasoning skills and aid their understanding of the proof process. Teaching students how to do proofs is a…

  1. Proof Problems with Diagrams: An Opportunity for Experiencing Proofs and Refutations

    Science.gov (United States)

    Komatsu, Kotaro; Tsujiyama, Yosuke; Sakamaki, Aruta; Koike, Norio

    2014-01-01

    It has become gradually accepted that proof and proving are essential at all grades of mathematical learning. Among the various aspects of proof and proving, this study addresses proofs and refutations described by Lakatos, in particular a part of increasing content by deductive guessing, to introduce an authentic process into mathematics…

  2. A PROOF Analysis Framework

    International Nuclear Information System (INIS)

    González Caballero, I; Cuesta Noriega, A; Rodríguez Marrero, A; Fernández del Castillo, E

    2012-01-01

    The analysis of the complex LHC data usually follows a standard path that aims at minimizing not only the amount of data but also the number of observables used. After a number of steps of slimming and skimming the data, the remaining few terabytes of ROOT files hold a selection of the events and a flat structure for the variables needed that can be more easily inspected and traversed in the final stages of the analysis. PROOF arises at this point as an efficient mechanism to distribute the analysis load by taking advantage of all the cores in modern CPUs through PROOF Lite, or by using PROOF Cluster or PROOF on Demand tools to build dynamic PROOF cluster on computing facilities with spare CPUs. However using PROOF at the level required for a serious analysis introduces some difficulties that may scare new adopters. We have developed the PROOF Analysis Framework (PAF) to facilitate the development of new analysis by uniformly exposing the PROOF related configurations across technologies and by taking care of the routine tasks as much as possible. We describe the details of the PAF implementation as well as how we succeeded in engaging a group of CMS physicists to use PAF as their daily analysis framework.

  3. Parity proofs of the Kochen–Specker theorem based on the Lie algebra E8

    International Nuclear Information System (INIS)

    Waegell, Mordecai; Aravind, P K

    2015-01-01

    The 240 root vectors of the Lie algebra E8 lead to a system of 120 rays in a real eight-dimensional Hilbert space that contains a large number of parity proofs of the Kochen–Specker (KS) theorem. After introducing the rays in a triacontagonal representation due to Coxeter, we present their KS diagram in the form of a ‘basis table’ showing all 2025 bases (i.e., sets of eight mutually orthogonal rays) formed by the rays. Only a few of the bases are actually listed, but simple rules are given, based on the symmetries of E8, for obtaining all the other bases from the ones shown. The basis table is an object of great interest because all the parity proofs of E8 can be exhibited as subsets of it. We show how the triacontagonal representation of E8 facilitates the identification of substructures that are more easily searched for their parity proofs. We have found hundreds of different types of parity proofs, ranging from 9 bases (or contexts) at the low end to 35 bases at the high end, and involving projectors of various ranks and multiplicities. After giving an overview of the proofs we found, we present a few concrete examples of the proofs that illustrate both their generic features as well as some of their more unusual properties. In particular, we present a proof involving 34 rays and 9 bases that appears to provide the most compact proof of the KS theorem found to date in eight-dimensions. (paper)

  4. Advances in proof theory

    CERN Document Server

    Strahm, Thomas; Studer, Thomas

    2016-01-01

    The aim of this volume is to collect original contributions by the best specialists from the area of proof theory, constructivity, and computation and discuss recent trends and results in these areas. Some emphasis will be put on ordinal analysis, reductive proof theory, explicit mathematics and type-theoretic formalisms, and abstract computations. The volume is dedicated to the 60th birthday of Professor Gerhard Jäger, who has been instrumental in shaping and promoting logic in Switzerland for the last 25 years. It comprises contributions from the symposium “Advances in Proof Theory”, which was held in Bern in December 2013. Proof theory came into being in the twenties of the last century, when it was inaugurated by David Hilbert in order to secure the foundations of mathematics. It was substantially influenced by Gödel's famous incompleteness theorems of 1930 and Gentzen's new consistency proof for the axiom system of first order number theory in 1936. Today, proof theory is a well-established branch ...

  5. Prospective Teachers' Conceptions of Proof Comprehension: Revisiting a Proof of the Pythagorean Theorem

    Science.gov (United States)

    Zazkis, Dov; Zazkis, Rina

    2016-01-01

    A significant body of research literature in mathematics education attends to mathematical proofs. However, scant research attends to proof comprehension, which is the focus of this study. We examine perspective secondary teachers' conceptions of what constitutes comprehension of a given proof and their ideas of how students' comprehension can be…

  6. Proofs, Upside Down

    DEFF Research Database (Denmark)

    Puech, Matthias

    2013-01-01

    this correspondence by applying a series of off-the-shelf program transformations à la Danvy et al. on a type checker for the bidirectional λ-calculus, and get a type checker for the λ¯ -calculus, the proof term assignment of LJT. This functional correspondence revisits the relationship between natural deduction......It is well known in proof theory that sequent-calculus proofs differ from natural deduction proofs by “reversing” elimination rules upside down into left introduction rules. It is also well known that to each recursive, functional program corresponds an equivalent iterative, accumulator......-passing program, where the accumulator stores the continuation of the iteration, in “reversed” order. Here, we compose these remarks and show that a restriction of the intuitionistic sequent calculus, LJT, is exactly an accumulator-passing version of intuitionistic natural deduction NJ. More precisely, we obtain...

  7. Tamper proofing of safeguards monitors

    International Nuclear Information System (INIS)

    Riley, R.J.

    1982-11-01

    The tamper proofing of safeguards monitors is essential if the data they produce is, and can be seen to be, reliable. This report discusses the problem of tamper proofing and gives guidance on when and how to apply tamper proofing techniques. The report is split into two parts. The first concerns the fundamental problem of how much tamper proofing to apply and the second describes methods of tamper proofing and discusses their usefulness. Both sections are applicable to all safeguards monitors although particular reference will be made to doorway monitors in some cases. The phrase 'tamper proofing' is somewhat misleading as it is impossible to completely tamper proof any device. Given enough time and resources, even the most elaborate tamper proofing can be overcome. In safeguards applications we are more interested in making the device tamper resistant and tamper indicating. That is, it should be able to resist a certain amount of tampering, and if tampering proves successful, that fact should be immediately obvious. Techniques of making a device tamper indicating and tamper resistant will be described below. The phrase tamper proofing will be used throughout this report as a generic term, including both tamper resistance and tamper indicating. (author)

  8. Proof patterns

    CERN Document Server

    Joshi, Mark

    2015-01-01

    This innovative textbook introduces a new pattern-based approach to learning proof methods in the mathematical sciences. Readers will discover techniques that will enable them to learn new proofs across different areas of pure mathematics with ease. The patterns in proofs from diverse fields such as algebra, analysis, topology and number theory are explored. Specific topics examined include game theory, combinatorics, and Euclidean geometry, enabling a broad familiarity. The author, an experienced lecturer and researcher renowned for his innovative view and intuitive style, illuminates a wide range of techniques and examples from duplicating the cube to triangulating polygons to the infinitude of primes to the fundamental theorem of algebra. Intended as a companion for undergraduate students, this text is an essential addition to every aspiring mathematician’s toolkit.

  9. Magnetization switching schemes for nanoscale three-terminal spintronics devices

    Science.gov (United States)

    Fukami, Shunsuke; Ohno, Hideo

    2017-08-01

    Utilizing spintronics-based nonvolatile memories in integrated circuits offers a promising approach to realize ultralow-power and high-performance electronics. While two-terminal devices with spin-transfer torque switching have been extensively developed nowadays, there has been a growing interest in devices with a three-terminal structure. Of primary importance for applications is the efficient manipulation of magnetization, corresponding to information writing, in nanoscale devices. Here we review the studies of current-induced domain wall motion and spin-orbit torque-induced switching, which can be applied to the write operation of nanoscale three-terminal spintronics devices. For domain wall motion, the size dependence of device properties down to less than 20 nm will be shown and the underlying mechanism behind the results will be discussed. For spin-orbit torque-induced switching, factors governing the threshold current density and strategies to reduce it will be discussed. A proof-of-concept demonstration of artificial intelligence using an analog spin-orbit torque device will also be reviewed.

  10. Final report SmartProofS. Results of projects of the SmartProofS program; Eindrapport SmartProofS. Projectresultaten van het SmartProofS programma

    Energy Technology Data Exchange (ETDEWEB)

    Van Hoorik, P.; Westerga, R. [Energy Valley, Groningen (Netherlands)

    2011-05-15

    The SmartProofs program aims to develop tools which must show that the principle of a Smart Power System (SPS) works and how. An SPS can ensure that the supply and demand of electricity in the grid is balanced, even in case more decentralized energy techniques will be put into use. This final report summarizes the main results and conclusions of the SmartProofs program. As part of the SPS program attention is paid to the impacts on the girds, the effects of centralized and decentralized management, disaster resilience, pricing models, potential benefits of control and new business models [Dutch] Het SmartProofs programma heeft tot doel om een concept van een Smart Power System (SPS) te ontwikkelen waarmee kan worden aangetoond dat het principe van een SPS werkt en op welke manier. Een SPS kan zorgen dat het aanbod van elektriciteit op het net op elk moment van de dag overeenkomt met de vraag, ook als er straks veel meer decentrale energietechnieken gebruikt worden waarmee zowel de vraag als het aanbod van elektriciteit onvoorspelbaar wordt. Dit eindrapport geeft een overzicht van de belangrijkste resultaten en conclusies van het SmartProofs programma. Het programma heeft in de werkpakketten deelvraagstukken rondom SmartProofS onderzocht rondom de effecten op onze energienetten, de effecten van zowel centrale- als decentrale aansturing, disaster resilience, prijsmodellen, mogelijke baten van aansturing en nieuwe business modellen.

  11. PROOF on a Batch System

    International Nuclear Information System (INIS)

    Behrenhoff, W; Ehrenfeld, W; Samson, J; Stadie, H

    2011-01-01

    The 'parallel ROOT facility' (PROOF) from the ROOT framework provides a mechanism to distribute the load of interactive and non-interactive ROOT sessions on a set of worker nodes optimising the overall execution time. While PROOF is designed to work on a dedicated PROOF cluster, the benefits of PROOF can also be used on top of another batch scheduling system with the help of temporary per user PROOF clusters. We will present a lightweight tool which starts a temporary PROOF cluster on a SGE based batch cluster or, via a plugin mechanism, e.g. on a set of bare desktops via ssh. Further, we will present the result of benchmarks which compare the data throughput for different data storage back ends available at the German National Analysis Facility (NAF) at DESY.

  12. Lakatos and Hersh on Mathematical Proof

    Directory of Open Access Journals (Sweden)

    Hossein Bayat

    2015-12-01

    Full Text Available The concept of Mathematical Proof has been controversial for the past few decades. Different philosophers have offered different theories about the nature of Mathematical Proof, among which theories presented by Lakatos and Hersh have had significant similarities and differences with each other. It seems that a comparison and critical review of these two theories will lead to a better understanding of the concept of mathematical proof and will be a big step towards solving many related problems. Lakatos and Hersh argue that, firstly, “mathematical proof” has two different meanings, formal and informal; and, secondly, informal proofs are affected by human factors, such as individual decisions and collective agreements. I call these two thesis, respectively, “proof dualism” and “humanism”. But on the other hand, their theories have significant dissimilarities and are by no means equivalent. Lakatos is committed to linear proof dualism and methodological humanism, while Hersh’s theory involves some sort of parallel proof dualism and sociological humanism. According to linear proof dualism, the two main types of proofs are provided in order to achieve a common goal: incarnation of mathematical concepts and methods and truth. However, according to the parallel proof dualism, two main types of proofs are provided in order to achieve two different types of purposes: production of a valid sequence of signs (the goal of the formal proof and persuasion of the audience (the goal of the informal proof. Hersh’s humanism is informative and indicates pluralism; whereas, Lakatos’ version of humanism is normative and monistic.

  13. Proof Auditing Formalised Mathematics

    Directory of Open Access Journals (Sweden)

    Mark Miles Adams

    2016-01-01

    Full Text Available The first three formalisations of major mathematical proofs have heralded a new age in formalised mathematics, establishing that informal proofs at the limits of what can be understood by humans can be checked by machine. However, formalisation itself can be subject to error, and yet there is currently no accepted process in checking, or even much concern that such checks have not been performed. In this paper, we motivate why we should be concerned about correctness, and argue the need for proof auditing, to rigorously and independently check a formalisation. We discuss the issues involved in performing an audit, and propose an effective and efficient auditing process. Throughout we use the Flyspeck Project, that formalises the Kepler Conjecture proof, to illustrate our point.

  14. Search-Order Independent State Caching

    DEFF Research Database (Denmark)

    Evangelista, Sami; Kristensen, Lars Michael

    2009-01-01

    State caching is a memory reduction technique used by model checkers to alleviate the state explosion problem. It has traditionally been coupled with a depth-first search to ensure termination.We propose and experimentally evaluate an extension of the state caching method for general state...... exploring algorithms that are independent of the search order (i.e., search algorithms that partition the state space into closed (visited) states, open (to visit) states and unmet states)....

  15. Flood-proof motors

    Energy Technology Data Exchange (ETDEWEB)

    Schmitt, Marcus [AREVA NP GmbH, Erlangen (Germany)

    2013-07-01

    Even before the Fukushima event occurred some German nuclear power plants (NPP) have considered flooding scenarios. As a result of one of these studies, AREVA performed an upgrade project in NPP Isar 1 with flood-proof motors as a replacement of existing air-cooled low-voltage and high-voltage motors of the emergency cooling chain. After the Fukushima event, in which the cooling chains failed, the topic flood-proof equipment gets more and more into focus. This compact will introduce different kinds of flood-proof electrical motors which are currently installed or planned for installation into NPPs over the world. Moreover the process of qualification, as it was performed during the project in NPP Isar 1, will be shown. (orig.)

  16. Flood-proof motors

    International Nuclear Information System (INIS)

    Schmitt, Marcus

    2013-01-01

    Even before the Fukushima event occurred some German nuclear power plants (NPP) have considered flooding scenarios. As a result of one of these studies, AREVA performed an upgrade project in NPP Isar 1 with flood-proof motors as a replacement of existing air-cooled low-voltage and high-voltage motors of the emergency cooling chain. After the Fukushima event, in which the cooling chains failed, the topic flood-proof equipment gets more and more into focus. This compact will introduce different kinds of flood-proof electrical motors which are currently installed or planned for installation into NPPs over the world. Moreover the process of qualification, as it was performed during the project in NPP Isar 1, will be shown. (orig.)

  17. Algebraic proofs over noncommutative formulas

    Czech Academy of Sciences Publication Activity Database

    Tzameret, Iddo

    2011-01-01

    Roč. 209, č. 10 (2011), s. 1269-1292 ISSN 0890-5401 R&D Projects: GA MŠk LC505 Institutional research plan: CEZ:AV0Z10190503 Keywords : proof complexity * algebraic proof system s * frege proofs Subject RIV: BA - General Mathematics Impact factor: 0.560, year: 2011 http://www.sciencedirect.com/science/article/pii/S089054011100109X

  18. Stork Color Proofing Technology

    Science.gov (United States)

    Ekman, C. Frederick

    1989-04-01

    For the past few years, Stork Colorproofing B.V. has been marketing an analog color proofing system in Europe based on electrophoto-graphic technology it pioneered for the purpose of high resolution, high fidelity color imaging in the field of the Graphic Arts. Based in part on this technology, it will make available on a commercial basis a digital color proofing system in 1989. Proofs from both machines will provide an exact reference for the user and will look, feel, and behave in a reproduction sense like the printed press sheet.

  19. An approach for designing robotized marine container terminals

    OpenAIRE

    Saanen, Y.A.

    2004-01-01

    International transportation is rapidly growing. Even during the recent recession, trade growth percentages world-wide exceeded 5-10%. As a consequence, container handling capacity is rapidly growing as well. Larger vessels, bigger container terminals: it appears to be an on-going process of which the limits have not yet been reached. At the same time, there is an increasing emphasis on cost and environmental control, which forces terminal operators to search for innovative solutions. Solutio...

  20. Proof assistants: History, ideas and future

    Indian Academy of Sciences (India)

    application is and will be in computer supported modelling and verification of sys- tems. But there is still ... Introduction ... compute with them, but their main focus is on doing proofs. ..... Proof development in a type theory based proof assistant.

  1. 46 CFR 201.144 - Offer of proof.

    Science.gov (United States)

    2010-10-01

    ... 46 Shipping 8 2010-10-01 2010-10-01 false Offer of proof. 201.144 Section 201.144 Shipping... PROCEDURE Evidence (Rule 14) § 201.144 Offer of proof. An offer of proof made in connection with an... accompany the record as the offer of proof. ...

  2. The ethical and value meaning of spiritual absolute idea conceptualized in the context of God’s being proofs

    Directory of Open Access Journals (Sweden)

    Brodetskyi Oleksandr Yevhenovych

    2015-10-01

    Full Text Available The article analyses the value and anthropological potencies of the notional mechanisms of the God idea philosophically conceptualized in the context of God’s being proofs. The author investigates the correlation between rational and irrational elements of these arguments and their value impulses. The research outlines the logical and cognitive vulnerability and antinomies of the idea, but it also reasons the effective ethical recourses of thinking concerning God’s being substantiation. The article contains the analysis of value application of God’s being proofs within the science methodology and the search of life meaning.

  3. 45 CFR 81.85 - Offer of proof.

    Science.gov (United States)

    2010-10-01

    ... 45 Public Welfare 1 2010-10-01 2010-10-01 false Offer of proof. 81.85 Section 81.85 Public Welfare... 80 OF THIS TITLE Hearing Procedures § 81.85 Offer of proof. An offer of proof made in connection with... identification and shall accompany the record as the offer of proof. ...

  4. Introduction to proof in abstract mathematics

    CERN Document Server

    Wohlgemuth, Andrew

    2011-01-01

    The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. The self-contained treatment features many exercises, problems, and selected answers, including worked-out solutions. Starting with sets and rules of inference, this text covers functions, relations, operation, and the integers. Additional topics include proofs in analysis, cardinality, and groups. Six appendixe

  5. Impact- and earthquake- proof roof structure

    International Nuclear Information System (INIS)

    Shohara, Ryoichi.

    1990-01-01

    Building roofs are constituted with roof slabs, an earthquake proof layer at the upper surface thereof and an impact proof layer made of iron-reinforced concrete disposed further thereover. Since the roofs constitute an earthquake proof structure loading building dampers on the upper surface of the slabs by the concrete layer, seismic inputs of earthquakes to the buildings can be moderated and the impact-proof layer is formed, to ensure the safety to external conditions such as earthquakes or falling accidents of airplane in important facilities such as reactor buildings. (T.M.)

  6. ProofJudge: Automated Proof Judging Tool for Learning Mathematical Logic

    DEFF Research Database (Denmark)

    Villadsen, Jørgen

    2015-01-01

    Today we have software in many artefacts, from medical devices to cars and airplanes, and the software must not only be efficient and intelligent but also reliable and secure. Tests can show the presence of bugs but cannot guarantee their absence. A machine-checked proof using mathematical logic...... pen and paper because no adequate tool was available. The learning problem is how to make abstract concepts of logic as concrete as possible. ProofJudge is a computer system and teaching approach for teaching mathematical logic and automated reasoning which augments the e-learning tool NaDeA (Natural...

  7. ProofJudge: Automated Proof Judging Tool for Learning Mathematical Logic

    DEFF Research Database (Denmark)

    Villadsen, Jørgen

    2016-01-01

    Today we have software in many artefacts, from medical devices to cars and airplanes, and the software must not only be efficient and intelligent but also reliable and secure. Tests can show the presence of bugs but cannot guarantee their absence. A machine-checked proof using mathematical logic...... using pen and paper because no adequate tool was available. The learning problem is how to make abstract concepts of logic as concrete as possible. ProofJudge is a computer system and teaching approach for teaching mathematical logic and automated reasoning which augments the e-learning tool Na...

  8. Vibration-proof FBR type reactor

    International Nuclear Information System (INIS)

    Kawamura, Yutaka.

    1992-01-01

    In a reactor container in an FBR type reactor, an outer building and upper and lower portions of a reactor container are connected by a load transmission device made of a laminated material of rubber and steel plates. Each of the reactor container and the outer building is disposed on a lower raft disposed on a rock by way of a vibration-proof device made of a laminated material of rubber and steel plates. Vibration-proof elements for providing vertical eigen frequency of the vibration-proof system comprising the reactor building and the vibration-proof device within a range of 3Hz to 5Hz are used. That is, the peak of designed acceleration for response spectrum in the horizontal direction of the reactor structural portions is shifted to side of shorter period from the main frequency region of the reactor structure. Alternatively, rigidity of the vibration-proof elements is decreased to shift the peak to the side of long period from the main frequency region. Designed seismic force can be greatly reduced both horizontally and vertically, to reduce the wall thickness of the structural members, improve the plant economy and to ensure the safety against earthquakes. (N.H.)

  9. Terminal nerve: cranial nerve zero

    Directory of Open Access Journals (Sweden)

    Jorge Eduardo Duque Parra

    2006-12-01

    Full Text Available It has been stated, in different types of texts, that there are only twelve pairs of cranial nerves. Such texts exclude the existence of another cranial pair, the terminal nerve or even cranial zero. This paper considers the mentioned nerve like a cranial pair, specifying both its connections and its functional role in the migration of liberating neurons of the gonadotropic hormone (Gn RH. In this paper is also stated the hypothesis of the phylogenetic existence of a cerebral sector and a common nerve that integrates the terminal nerve with the olfactory nerves and the vomeronasals nerves which seem to carry out the odors detection function as well as in the food search, pheromone detection and nasal vascular regulation.

  10. Shelter-based palliative care for the homeless terminally ill.

    Science.gov (United States)

    Podymow, Tiina; Turnbull, Jeffrey; Coyle, Doug

    2006-03-01

    The homeless have high rates of mortality, but live in environments not conducive to terminal care. Traditional palliative care hospitals may be reluctant to accept such patients, due to behavior or lifestyle concerns. The Ottawa Inner City Health Project (OICHP) is a pilot study to improve health care delivery to homeless adults. This is a retrospective analysis of a cohort of terminally ill homeless individuals and the effectiveness of shelter-based palliative care. As proof of principle, a cost comparison was performed. 28 consecutive homeless terminally ill patients were admitted and died at a shelter-based palliative care hospice. Demographics, diagnoses at admission and course were recorded. Burden of illness was assessed by medical and psychiatric diagnoses, addictions, Karnofsky scale and symptom management. An expert panel was convened to identify alternate care locations. Using standard costing scales, direct versus alternate care costs were compared. 28 patients had a mean age 49 years; average length of stay 120 days. DIAGNOSES: liver disease 43%, HIV/AIDS 25%, malignancy 25% and other 8%. Addiction to drugs or alcohol and mental illness in 82% of patients. Karnofsky performance score mean 40 +/- 16.8. Pain management with continuous opiates in 71%. The majority reunited with family. Compared to alternate care locations, the hospice projected 1.39 million dollars savings for the patients described. The homeless terminally ill have a heavy burden of disease including physical illness, psychiatric conditions and addictions. Shelter-based palliative care can provide effective end-of-life care to terminally ill homeless individuals at potentially substantial cost savings.

  11. 38 CFR 18b.64 - Offer of proof.

    Science.gov (United States)

    2010-07-01

    ... 38 Pensions, Bonuses, and Veterans' Relief 2 2010-07-01 2010-07-01 false Offer of proof. 18b.64... Procedures § 18b.64 Offer of proof. An offer of proof made in connection with an objection taken to any... record as the offer of proof. ...

  12. Proof of patient information: Analysis of 201 judicial decisions.

    Science.gov (United States)

    Dugleux, E; Rached, H; Rougé-Maillart, C

    2018-05-01

    The ruling by the French Court of Cassation dated February 25, 1997 obliged doctors to provide proof of the information given to patients, reversing more than half a century of case law. In October 1997, it was specified that such evidence could be provided by "all means", including presumption. No hierarchy in respect of means of proof has been defined by case law or legislation. The present study analyzed judicial decisions with a view to determining the means of proof liable to carry the most weight in a suit for failure to provide due patient information. A retrospective qualitative study was conducted for the period from January 2010 to December 2015, by a search on the LexisNexis ® JurisClasseur website. Two hundred and one judicial decisions relating to failure to provide due patient information were selected and analyzed to study the characteristics of the practitioners involved, the content of the information at issue and the means of proof provided. The resulting cohort of practitioners was compared with the medical demographic atlas of the French Order of Medicine, considered as exhaustive. Two hundred and one practitioners were investigated for failure to provide information: 45 medical practitioners (22±3%), and 156 surgeons (78±3%) including 45 orthopedic surgeons (29±3.6% of surgeons). Hundred and ninety-three were private sector (96±1.3%) and 8 public sector (4±1.3%). Hundred and one surgeons (65±3.8% of surgeons), and 26 medical practitioners (58±7.4%) were convicted. Twenty-five of the 45 orthopedic surgeons were convicted (55±7.5%). There was no significant difference in conviction rates between surgeons and medical practitioners: odds ratio, 1.339916; 95% CI [0.6393982; 2.7753764] (Chi 2 test: p=0.49). Ninety-two practitioners based their defense on a single means of proof, and 74 of these were convicted (80±4.2%). Forty practitioners based their defense on several means of proof, and 16 of these were convicted (40±7.8%). There was

  13. Focused labeled proof systems for modal logic

    OpenAIRE

    Miller , Dale; Volpe , Marco

    2015-01-01

    International audience; Focused proofs are sequent calculus proofs that group inference rules into alternating positive and negative phases. These phases can then be used to define macro-level inference rules from Gentzen's original and tiny introduction and structural rules. We show here that the inference rules of labeled proof systems for modal logics can similarly be described as pairs of such phases within the LKF focused proof system for first-order classical logic. We consider the syst...

  14. Proust: A Nano Proof Assistant

    Directory of Open Access Journals (Sweden)

    Prabhakar Ragde

    2016-11-01

    Full Text Available Proust is a small Racket program offering rudimentary interactive assistance in the development of verified proofs for propositional and predicate logic. It is constructed in stages, some of which are done by students before using it to complete proof exercises, and in parallel with the study of its theoretical underpinnings, including elements of Martin-Lof type theory. The goal is twofold: to demystify some of the machinery behind full-featured proof assistants such as Coq and Agda, and to better integrate the study of formal logic with other core elements of an undergraduate computer science curriculum.

  15. Distributed analysis with PROOF in ATLAS collaboration

    International Nuclear Information System (INIS)

    Panitkin, S Y; Ernst, M; Ito, H; Maeno, T; Majewski, S; Rind, O; Tarrade, F; Wenaus, T; Ye, S; Benjamin, D; Montoya, G Carillo; Guan, W; Mellado, B; Xu, N; Cranmer, K; Shibata, A

    2010-01-01

    The Parallel ROOT Facility - PROOF is a distributed analysis system which allows to exploit inherent event level parallelism of high energy physics data. PROOF can be configured to work with centralized storage systems, but it is especially effective together with distributed local storage systems - like Xrootd, when data are distributed over computing nodes. It works efficiently on different types of hardware and scales well from a multi-core laptop to large computing farms. From that point of view it is well suited for both large central analysis facilities and Tier 3 type analysis farms. PROOF can be used in interactive or batch like regimes. The interactive regime allows the user to work with typically distributed data from the ROOT command prompt and get a real time feedback on analysis progress and intermediate results. We will discuss our experience with PROOF in the context of ATLAS Collaboration distributed analysis. In particular we will discuss PROOF performance in various analysis scenarios and in multi-user, multi-session environments. We will also describe PROOF integration with the ATLAS distributed data management system and prospects of running PROOF on geographically distributed analysis farms.

  16. Distributed analysis with PROOF in ATLAS collaboration

    Energy Technology Data Exchange (ETDEWEB)

    Panitkin, S Y; Ernst, M; Ito, H; Maeno, T; Majewski, S; Rind, O; Tarrade, F; Wenaus, T; Ye, S [Brookhaven National Laboratory, Upton, NY 11973 (United States); Benjamin, D [Duke University, Durham, NC 27708 (United States); Montoya, G Carillo; Guan, W; Mellado, B; Xu, N [University of Wisconsin-Madison, Madison, WI 53706 (United States); Cranmer, K; Shibata, A [New York University, New York, NY 10003 (United States)

    2010-04-01

    The Parallel ROOT Facility - PROOF is a distributed analysis system which allows to exploit inherent event level parallelism of high energy physics data. PROOF can be configured to work with centralized storage systems, but it is especially effective together with distributed local storage systems - like Xrootd, when data are distributed over computing nodes. It works efficiently on different types of hardware and scales well from a multi-core laptop to large computing farms. From that point of view it is well suited for both large central analysis facilities and Tier 3 type analysis farms. PROOF can be used in interactive or batch like regimes. The interactive regime allows the user to work with typically distributed data from the ROOT command prompt and get a real time feedback on analysis progress and intermediate results. We will discuss our experience with PROOF in the context of ATLAS Collaboration distributed analysis. In particular we will discuss PROOF performance in various analysis scenarios and in multi-user, multi-session environments. We will also describe PROOF integration with the ATLAS distributed data management system and prospects of running PROOF on geographically distributed analysis farms.

  17. Complex proofs of real theorems

    CERN Document Server

    Lax, Peter D

    2011-01-01

    Complex Proofs of Real Theorems is an extended meditation on Hadamard's famous dictum, "The shortest and best way between two truths of the real domain often passes through the imaginary one." Directed at an audience acquainted with analysis at the first year graduate level, it aims at illustrating how complex variables can be used to provide quick and efficient proofs of a wide variety of important results in such areas of analysis as approximation theory, operator theory, harmonic analysis, and complex dynamics. Topics discussed include weighted approximation on the line, Müntz's theorem, Toeplitz operators, Beurling's theorem on the invariant spaces of the shift operator, prediction theory, the Riesz convexity theorem, the Paley-Wiener theorem, the Titchmarsh convolution theorem, the Gleason-Kahane-Żelazko theorem, and the Fatou-Julia-Baker theorem. The discussion begins with the world's shortest proof of the fundamental theorem of algebra and concludes with Newman's almost effortless proof of the prime ...

  18. Proof of concept of a "greener" protein purification/enrichment method based on carboxylate-terminated carbosilane dendrimer-protein interactions.

    Science.gov (United States)

    González-García, Estefanía; Maly, Marek; de la Mata, Francisco Javier; Gómez, Rafael; Marina, María Luisa; García, María Concepción

    2016-11-01

    Protein sample preparation is a critical and an unsustainable step since it involves the use of tedious methods that usually require high amount of solvents. The development of new materials offers additional opportunities in protein sample preparation. This work explores, for the first time, the potential application of carboxylate-terminated carbosilane dendrimers to the purification/enrichment of proteins. Studies on dendrimer binding to proteins, based on protein fluorescence intensity and emission wavelengths measurements, demonstrated the interaction between carboxylate-terminated carbosilane dendrimers and proteins at all tested pH levels. Interactions were greatly affected by the protein itself, pH, and dendrimer concentration and generation. Especially interesting was the interaction at acidic pH since it resulted in a significant protein precipitation. Dendrimer-protein interactions were modeled observing stable complexes for all proteins. Carboxylate-terminated carbosilane dendrimers at acidic pH were successfully used in the purification/enrichment of proteins extracted from a complex sample. Graphical Abstract Images showing the growing turbidity of solutions containing a mixture of proteins (lysozyme, myoglobin, and BSA) at different protein:dendrimer ratios (1:0, 1:1, 1:8, and 1:20) at acidic pH and SDS-PAGE profiles of the corresponsing supernatants. Comparison of SDS-PAGE profiles for the pellets obtained during the purification of proteins present in a complex sample using a conventional "no-clean" method based on acetone precipitation and the proposed "greener" method using carboxylate-terminated carbosilane dendrimer at a 1:20 protein:dendrimer ratio.

  19. From Inductive Reasoning to Proof

    Science.gov (United States)

    Yopp, David A.

    2009-01-01

    Mathematical proof is an expression of deductive reasoning (drawing conclusions from previous assertions). However, it is often inductive reasoning (conclusions drawn on the basis of examples) that helps learners form their deductive arguments, or proof. In addition, not all inductive arguments generate more formal arguments. This article draws a…

  20. Optimizing Linear Functions with Randomized Search Heuristics - The Robustness of Mutation

    DEFF Research Database (Denmark)

    Witt, Carsten

    2012-01-01

    The analysis of randomized search heuristics on classes of functions is fundamental for the understanding of the underlying stochastic process and the development of suitable proof techniques. Recently, remarkable progress has been made in bounding the expected optimization time of the simple (1...

  1. N-terminal amphipathic helix as a trigger of hemolytic activity in antimicrobial peptides: a case study in latarcins.

    Science.gov (United States)

    Polyansky, Anton A; Vassilevski, Alexander A; Volynsky, Pavel E; Vorontsova, Olga V; Samsonova, Olga V; Egorova, Natalya S; Krylov, Nicolay A; Feofanov, Alexei V; Arseniev, Alexander S; Grishin, Eugene V; Efremov, Roman G

    2009-07-21

    In silico structural analyses of sets of alpha-helical antimicrobial peptides (AMPs) are performed. Differences between hemolytic and non-hemolytic AMPs are revealed in organization of their N-terminal region. A parameter related to hydrophobicity of the N-terminal part is proposed as a measure of the peptide propensity to exhibit hemolytic and other unwanted cytotoxic activities. Based on the information acquired, a rational approach for selective removal of these properties in AMPs is suggested. A proof of concept is gained through engineering specific mutations that resulted in elimination of the hemolytic activity of AMPs (latarcins) while leaving the beneficial antimicrobial effect intact.

  2. 2nd International Conference on Proof-Theoretic Semantics

    CERN Document Server

    Schroeder-Heister, Peter

    2016-01-01

    This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, Dummett's justification of logical laws, Kreisel's theory of constructions, paradoxical reasoning, and the defence of model theory. The field of proof-theoretic semantics has existed for almost 50 years, but the term itself was proposed by Schroeder-Heister in the 1980s. Proof-theoretic semantics explains the meaning of linguistic expressions in general and of logical constants in particular in terms of the notion of proof. This volume emerges from presentations at the Second International Conference on Proof-Theoretic Semantics in Tübingen in 2013, where contributing authors were asked to provide a self-contained descri...

  3. Proviola: a tool for proof re-animation

    NARCIS (Netherlands)

    Tankink, C.; Geuvers, J.H.; McKinna, J.; Wiedijk, F.; Autexier, S.; Calmet, J.; Delahaye, D.; Ion, P.D.F.; Rideau, L.; Rioboo, R.; Sexton, A.P.

    2010-01-01

    To improve on existing models of interaction with a proof assistant (PA), in particular for storage and replay of proofs, we introduce three related concepts, those of: a proof movie, consisting of frames which record both user input and the corresponding PA response; a camera, which films a user’s

  4. Short proofs of strong normalization

    OpenAIRE

    Wojdyga, Aleksander

    2008-01-01

    This paper presents simple, syntactic strong normalization proofs for the simply-typed lambda-calculus and the polymorphic lambda-calculus (system F) with the full set of logical connectives, and all the permutative reductions. The normalization proofs use translations of terms and types to systems, for which strong normalization property is known.

  5. 49 CFR 604.43 - Offer of proof.

    Science.gov (United States)

    2010-10-01

    ... 49 Transportation 7 2010-10-01 2010-10-01 false Offer of proof. 604.43 Section 604.43..., DEPARTMENT OF TRANSPORTATION CHARTER SERVICE Hearings. § 604.43 Offer of proof. A party whose evidence has... respond to the offer of proof, may offer the evidence on the record when filing an appeal. ...

  6. 36 CFR 1150.79 - Offer of proof.

    Science.gov (United States)

    2010-07-01

    ... 36 Parks, Forests, and Public Property 3 2010-07-01 2010-07-01 false Offer of proof. 1150.79... BOARD PRACTICE AND PROCEDURES FOR COMPLIANCE HEARINGS Hearing Procedures § 1150.79 Offer of proof. An offer of proof made in connection with an objection taken to a ruling of the judge rejecting or...

  7. Sites of termination of in vitro DNA synthesis on psoralen phototreated single-stranded templates

    International Nuclear Information System (INIS)

    Piette, J.; Hearst, J.

    1985-01-01

    Single-stranded DNA has been photochemically induced to react with 4'-hydroxymethyl-4,5',8-trimethylpsoralen (HMT) and used as substrate for DNA replication with E. coli DNA polymerase I large fragment. By using the dideoxy sequencing procedure, it is possible to map the termination sites on the template photoreacted with HMT. These sites occur at the nucleotides preceding each thymine residue (and a few cytosine residues), emphasizing the fact that in a single-stranded stretch of DNA, HMT reacts with each thymine residue without any specificity regarding the flanking base sequence of the thymine residues. In addition, termination of DNA synthesis due to psoralen-adducted thymine is not influenced by the efficiency of the 3'-5' exonuclease proof-reading activity of the DNA polymerase. (author)

  8. Integrating PROOF Analysis in Cloud and Batch Clusters

    International Nuclear Information System (INIS)

    Rodríguez-Marrero, Ana Y; Fernández-del-Castillo, Enol; López García, Álvaro; Marco de Lucas, Jesús; Matorras Weinig, Francisco; González Caballero, Isidro; Cuesta Noriega, Alberto

    2012-01-01

    High Energy Physics (HEP) analysis are becoming more complex and demanding due to the large amount of data collected by the current experiments. The Parallel ROOT Facility (PROOF) provides researchers with an interactive tool to speed up the analysis of huge volumes of data by exploiting parallel processing on both multicore machines and computing clusters. The typical PROOF deployment scenario is a permanent set of cores configured to run the PROOF daemons. However, this approach is incapable of adapting to the dynamic nature of interactive usage. Several initiatives seek to improve the use of computing resources by integrating PROOF with a batch system, such as Proof on Demand (PoD) or PROOF Cluster. These solutions are currently in production at Universidad de Oviedo and IFCA and are positively evaluated by users. Although they are able to adapt to the computing needs of users, they must comply with the specific configuration, OS and software installed at the batch nodes. Furthermore, they share the machines with other workloads, which may cause disruptions in the interactive service for users. These limitations make PROOF a typical use-case for cloud computing. In this work we take profit from Cloud Infrastructure at IFCA in order to provide a dynamic PROOF environment where users can control the software configuration of the machines. The Proof Analysis Framework (PAF) facilitates the development of new analysis and offers a transparent access to PROOF resources. Several performance measurements are presented for the different scenarios (PoD, SGE and Cloud), showing a speed improvement closely correlated with the number of cores used.

  9. 34 CFR 101.85 - Offer of proof.

    Science.gov (United States)

    2010-07-01

    ... 34 Education 1 2010-07-01 2010-07-01 false Offer of proof. 101.85 Section 101.85 Education... PRACTICE AND PROCEDURE FOR HEARINGS UNDER PART 100 OF THIS TITLE Hearing Procedures § 101.85 Offer of proof. An offer of proof made in connection with an objection taken to any ruling of the presiding officer...

  10. 7 CFR 15.122 - Offer of proof.

    Science.gov (United States)

    2010-01-01

    ... 7 Agriculture 1 2010-01-01 2010-01-01 false Offer of proof. 15.122 Section 15.122 Agriculture..., Decisions and Administrative Review Under the Civil Rights Act of 1964 Hearing Procedures § 15.122 Offer of proof. An offer of proof made in connection with an objection taken to any ruling of the hearing officer...

  11. 43 CFR 4.840 - Offer of proof.

    Science.gov (United States)

    2010-10-01

    ... the Interior-Effectuation of Title VI of the Civil Rights Act of 1964 Hearing § 4.840 Offer of proof. An offer of proof made in connection with an objection taken to any ruling of the administrative law... 43 Public Lands: Interior 1 2010-10-01 2010-10-01 false Offer of proof. 4.840 Section 4.840 Public...

  12. The Proof is in the Pudding The Changing Nature of Mathematical Proof

    CERN Document Server

    Krantz, Steven G

    2011-01-01

    This text explores the many transformations that the mathematical proof has undergone from its inception to its versatile, present-day use, considering the advent of high-speed computing machines. Though there are many truths to be discovered in this book, by the end it is clear that there is no formalized approach or standard method of discovery to date. Most of the proofs are discussed in detail with figures and equations accompanying them, allowing both the professional mathematician and those less familiar with mathematics to derive the same joy from reading this book.

  13. Search-Order Independent State Caching

    DEFF Research Database (Denmark)

    Evangelista, Sami; Kristensen, Lars Michael

    2010-01-01

    State caching is a memory reduction technique used by model checkers to alleviate the state explosion problem. It has traditionally been coupled with a depth-first search to ensure termination.We propose and experimentally evaluate an extension of the state caching method for general state...

  14. Computing gap free Pareto front approximations with stochastic search algorithms.

    Science.gov (United States)

    Schütze, Oliver; Laumanns, Marco; Tantar, Emilia; Coello, Carlos A Coello; Talbi, El-Ghazali

    2010-01-01

    Recently, a convergence proof of stochastic search algorithms toward finite size Pareto set approximations of continuous multi-objective optimization problems has been given. The focus was on obtaining a finite approximation that captures the entire solution set in some suitable sense, which was defined by the concept of epsilon-dominance. Though bounds on the quality of the limit approximation-which are entirely determined by the archiving strategy and the value of epsilon-have been obtained, the strategies do not guarantee to obtain a gap free approximation of the Pareto front. That is, such approximations A can reveal gaps in the sense that points f in the Pareto front can exist such that the distance of f to any image point F(a), a epsilon A, is "large." Since such gap free approximations are desirable in certain applications, and the related archiving strategies can be advantageous when memetic strategies are included in the search process, we are aiming in this work for such methods. We present two novel strategies that accomplish this task in the probabilistic sense and under mild assumptions on the stochastic search algorithm. In addition to the convergence proofs, we give some numerical results to visualize the behavior of the different archiving strategies. Finally, we demonstrate the potential for a possible hybridization of a given stochastic search algorithm with a particular local search strategy-multi-objective continuation methods-by showing that the concept of epsilon-dominance can be integrated into this approach in a suitable way.

  15. Three-terminal superconducting devices

    International Nuclear Information System (INIS)

    Gallagher, W.J.

    1985-01-01

    The transistor has a number of properties that make it so useful. The authors discuss these and the additional properties a transistor would need to have for high performance applications at temperatures where superconductivity could contribute advantages to system-level performance. These properties then serve as criteria by which to evaluate three-terminal devices that have been proposed for applications at superconducting temperatures. FETs can retain their transistor properties at low temperatures, but their power consumption is too large for high-speed, high-density cryogenic applications. They discuss in detail why demonstrated superconducting devices with three terminals -Josephson effect based devices, injection controlled weak links, and stacked tunnel junction devices such as the superconducting transistor proposed by K. Gray and the quiteron -- each fail to have true transistor-like properties. They conclude that the potentially very rewarding search for a transistor compatible with superconductivity in high performance applications must be in new directions

  16. War Termination: A Selected Bibliography

    Science.gov (United States)

    2010-10-01

    UA25 .L342 2009) Mandel, Robert . The Meaning of Military Victory. Boulder: Lynne Rienner, 2006. 190pp. (U163 .M266 2006) Marshall, Monty G., and...Ted Robert Gurr. Peace and Conflict 2005: A Global Survey of Armed Conflicts, Self-Determination Movements, and Democracy. College Park: Center for...18pp. (AD-A468-990) http://handle.dtic.mil/100.2/ADA468990 Raymer , James H. In Search of Lasting Results: Military War Termination Doctrine. Fort

  17. Parallel interactive data analysis with PROOF

    International Nuclear Information System (INIS)

    Ballintijn, Maarten; Biskup, Marek; Brun, Rene; Canal, Philippe; Feichtinger, Derek; Ganis, Gerardo; Kickinger, Guenter; Peters, Andreas; Rademakers, Fons

    2006-01-01

    The Parallel ROOT Facility, PROOF, enables the analysis of much larger data sets on a shorter time scale. It exploits the inherent parallelism in data of uncorrelated events via a multi-tier architecture that optimizes I/O and CPU utilization in heterogeneous clusters with distributed storage. The system provides transparent and interactive access to gigabytes today. Being part of the ROOT framework PROOF inherits the benefits of a performant object storage system and a wealth of statistical and visualization tools. This paper describes the data analysis model of ROOT and the latest developments on closer integration of PROOF into that model and the ROOT user environment, e.g. support for PROOF-based browsing of trees stored remotely, and the popular TTree::Draw() interface. We also outline the ongoing developments aimed to improve the flexibility and user-friendliness of the system

  18. Why prove it again? alternative proofs in mathematical practice

    CERN Document Server

    Dawson, Jr , John W

    2015-01-01

    This monograph considers several well-known mathematical theorems and asks the question, “Why prove it again?” while examining alternative proofs.   It  explores the different rationales mathematicians may have for pursuing and presenting new proofs of previously established results, as well as how they judge whether two proofs of a given result are different.  While a number of books have examined alternative proofs of individual theorems, this is the first that presents comparative case studies of other methods for a variety of different theorems. The author begins by laying out the criteria for distinguishing among proofs and enumerates reasons why new proofs have, for so long, played a prominent role in mathematical practice.  He then outlines various purposes that alternative proofs may serve.  Each chapter that follows provides a detailed case study of alternative proofs for particular theorems, including the Pythagorean Theorem, the Fundamental Theorem of Arithmetic, Desargues’ Theorem, the...

  19. Two proofs of Fine's theorem

    International Nuclear Information System (INIS)

    Halliwell, J.J.

    2014-01-01

    Fine's theorem concerns the question of determining the conditions under which a certain set of probabilities for pairs of four bivalent quantities may be taken to be the marginals of an underlying probability distribution. The eight CHSH inequalities are well-known to be necessary conditions, but Fine's theorem is the striking result that they are also sufficient conditions. Here two transparent and self-contained proofs of Fine's theorem are presented. The first is a physically motivated proof using an explicit local hidden variables model. The second is an algebraic proof which uses a representation of the probabilities in terms of correlation functions. - Highlights: • A discussion of the various approaches to proving Fine's theorem. • A new physically-motivated proof using a local hidden variables model. • A new algebraic proof. • A new form of the CHSH inequalities

  20. The statistical strength of nonlocality proofs

    NARCIS (Netherlands)

    Dam, van W.; Gill, R.D.; Grünwald, P.D.

    2005-01-01

    There exist numerous proofs of Bell's theorem, stating that quantum mechanics is incompatible with local realistic theories of nature. Here the strength of such nonlocality proofs is defined in terms of the amount of evidence against local realism provided by the corresponding experiments.

  1. Multiparty session types as coherence proofs

    DEFF Research Database (Denmark)

    Carbone, Marco; Montesi, Fabrizio; Schürmann, Carsten

    2017-01-01

    We propose a Curry–Howard correspondence between a language for programming multiparty sessions and a generalisation of Classical Linear Logic (CLL). In this framework, propositions correspond to the local behaviour of a participant in a multiparty session type, proofs to processes, and proof nor...

  2. Proof Mining in L1-Approximation

    DEFF Research Database (Denmark)

    Oliva, Paulo Borges; Kohlenbach, Ulrich

    2001-01-01

    In this paper, we present another case study in the general project of proof mining which means the logical analysis of prima facie non-effective proofs with the aim of extracting new computationally relevant data. We use techniques based on monotone functional interpretation developed...

  3. Velocity feedback control with a flywheel proof mass actuator

    Science.gov (United States)

    Kras, Aleksander; Gardonio, Paolo

    2017-08-01

    This paper presents four new proof mass actuators to be used in velocity feedback control systems for the control of vibrations of machines and flexible structures. A classical proof mass actuator is formed by a coil-magnet linear motor, with either the magnet or the armature-coil proof mass suspended on soft springs. This arrangement produces a net force effect at frequencies above the fundamental resonance frequency of the springs-proof mass system. Thus, it can be used to implement point velocity feedback loops, although the dynamic response and static deflection of the springs-proof mass system poses some stability and control performance limitations. The four proof mass actuators presented in this study include a flywheel element, which is used to augment the inertia effect of the suspended proof mass. The paper shows that the flywheel element modifies both the dynamic response and static deflection of the springs-proof mass system in such a way as the stability and control performance of velocity feedback loops using these actuators are significantly improved.

  4. Hybrid Logic and its Proof-Theory

    CERN Document Server

    Brauner, Torben

    2011-01-01

    This is the first book-length treatment of hybrid logic and its proof-theory. Hybrid logic is an extension of ordinary modal logic which allows explicit reference to individual points in a model (where the points represent times, possible worlds, states in a computer, or something else). This is useful for many applications, for example when reasoning about time one often wants to formulate a series of statements about what happens at specific times. There is little consensus about proof-theory for ordinary modal logic. Many modal-logical proof systems lack important properties and the relatio

  5. 16 CFR 614.1 - Appropriate proof of identity.

    Science.gov (United States)

    2010-01-01

    ... 16 Commercial Practices 1 2010-01-01 2010-01-01 false Appropriate proof of identity. 614.1 Section... IDENTITY § 614.1 Appropriate proof of identity. (a) Consumer reporting agencies shall develop and implement reasonable requirements for what information consumers shall provide to constitute proof of identity for...

  6. Proof Mining in L1-Approximation

    DEFF Research Database (Denmark)

    Kohlenbach, Ulrich; Oliva, Paulo Borges

    2003-01-01

    n this paper, we present another case study in the general project of proof mining which means the logical analysis of prima facie non-effective proofs with the aim of extracting new computationally relevant data. We use techniques based on monotone functional interpretation developed in Kohlenbach...

  7. Evaluating Google compute engine with PROOF

    International Nuclear Information System (INIS)

    Ganis, Gerardo; Panitkin, Sergey

    2014-01-01

    The advent of private and commercial cloud platforms has opened the question of evaluating the cost-effectiveness of such solution for computing in High Energy Physics . Google Compute Engine (GCE) is a IaaS product launched by Google as an experimental platform during 2012 and now open to the public market. In this contribution we present the results of a set of CPU-intensive and I/O-intensive tests we have run with PROOF on a GCE resources made available by Google for test purposes. We have run tests on large scale PROOF clusters (up to 1000 workers) to study the overall scalability of coordinated multi-process jobs. We have studied and compared the performance of ephemeral and persistent storage with PROOF-Lite on the single machines and of standard PROOF on the whole cluster. We will discuss our results in perspective, in particular with respect to the typical analysis needs of an LHC experiment.

  8. 29 CFR 1919.31 - Proof tests-loose gear.

    Science.gov (United States)

    2010-07-01

    ... 29 Labor 7 2010-07-01 2010-07-01 false Proof tests-loose gear. 1919.31 Section 1919.31 Labor... (CONTINUED) GEAR CERTIFICATION Certification of Vessels: Tests and Proof Loads; Heat Treatment; Competent Persons § 1919.31 Proof tests—loose gear. (a) Chains, rings, shackles and other loose gear (whether...

  9. Other trigonometric proofs of Pythagoras theorem

    OpenAIRE

    Luzia, Nuno

    2015-01-01

    Only very recently a trigonometric proof of the Pythagoras theorem was given by Zimba \\cite{1}, many authors thought this was not possible. In this note we give other trigonometric proofs of Pythagoras theorem by establishing, geometrically, the half-angle formula $\\cos\\theta=1-2\\sin^2 \\frac{\\theta}{2}$.

  10. Burdens of Proof, Presumptions and Standards of Proof in Criminal ...

    African Journals Online (AJOL)

    Worku_Y

    evidential and persuasive burdens of proof as between the state and the ..... scholars have observed that the evidential burden is a function of the burden of ..... required to convince judges by creating such an intensity of belief in their minds.

  11. Generalization of the Greenberger-Horne-Zeilinger algebraic proof of nonlocality

    International Nuclear Information System (INIS)

    Clifton, R.K.; Redhead, M.L.G.; Butterfield, J.N.

    1991-01-01

    The authors further develop a recent new proof (by Greenberger, Horne, and Zeilinger - GHZ) that local deterministic hidden-variable theories are inconsistent with certain strict correlations predicted by quantum mechanics. First, they generalize GHZ's proof so that it applied to factorable stochastic theories in which apparatus hidden variables are casually relevant to measurement results, and theories in which the hidden variables evolve indeterministically prior to the particle-apparatus interactions. Then they adopt a more general measure-theoretic approach which requires that GHZ's argument be modified in order to produce a valid proof. Finally, they motivate the more general proof's assumptions in a somewhat different way from previous authors in order to strengthen the implications of the proof as much as possible. After developing GHZ's proof along these lines, they then consider the analogue, for their proof, of Bohr's reply to the EPR argument, and conclude (pace GHZ) that in at least one respect (viz, that of most concern to Bohr) the proof is no more powerful than Bell's. Nevertheless, they point out some new advantages of their proof over Bell's, and over other algebraic proofs of nonlocality. And they conclude by giving a modified version of their proof that, like Bell's does not rely on experimentally unrealizable strict correlations, but still leads to a testable quasi-algebraic locality inequality

  12. Proof Mapping

    Science.gov (United States)

    Linares, Leanne A.; Smith, Phil R.

    2009-01-01

    A geometry textbook or mathematics journal that prints all the work that mathematicians use as they generate proofs of mathematical results would be rare indeed. The false starts, the tentative conjectures, and the arguments that led nowhere--these are conveniently omitted; only the final successful product is presented to the world. To students…

  13. On Kripke-style semantics for the provability logic of Gödel’s proof predicate with quantifiers on proofs

    NARCIS (Netherlands)

    Yavorskiy, R.

    Kripke-style semantics is suggested for the provability logic with quantifiers on proofs corresponding to the standard Gödel proof predicate. It is proved that the set of valid formulas is decidable. The arithmetical completeness is still an open issue.

  14. Variations Method to Solve Terminal Problems for the Second Order Systems of Canonical Form with State Constraints

    Directory of Open Access Journals (Sweden)

    T. S. Kasatkina

    2015-01-01

    Full Text Available Terminal control problem with fixed finite time for the second order affine systems with state constraints is considered. A solution of such terminal problem is suggested for the systems with scalar control of regular canonical form.In this article it is shown that the initial terminal problem is equivalent to the problem of auxiliary function search. This function should satisfy some conditions. Such function design consists of two stages. The first stage includes search of function which corresponds the solution of the terminal control problem without state constraints. This function is designed as polynom of the fifth power which depends on time variable. Coefficients of the polynom are defined by boundary conditions. The second stage includes modification of designed function if corresponding to that function trajectory is not satisfied constraints. Modification process is realized by adding to the current function supplementary polynom. Influence of that polynom handles by variation of a parameter value. Modification process can include a few iterations. After process termination continuous control is found. This control is the solution of the initial terminal prUsing presented scheme the terminal control problem for system, which describes oscillations of the mathematical pendulum, is solved. This approach can be used for the solution of terminal control problems with state constraints for affine systems with multi-dimensional control.

  15. Proof test diagrams for Zerodur glass-ceramic

    Science.gov (United States)

    Tucker, D. S.

    1991-01-01

    Proof test diagrams for Zerodur glass-ceramics are calculated from available fracture mechanics data. It is shown that the environment has a large effect on minimum time-to-failure as predicted by proof test diagrams.

  16. Implicit proofs

    Czech Academy of Sciences Publication Activity Database

    Krajíček, Jan

    2004-01-01

    Roč. 69, č. 2 (2004), s. 387-397 ISSN 0022-4812 R&D Projects: GA AV ČR IAA1019901; GA MŠk LN00A056 Institutional research plan: CEZ:AV0Z1019905 Keywords : propositional proof system s * circuits * polynomial simulation Subject RIV: BA - General Mathematics Impact factor: 0.331, year: 2004

  17. Proof in Algebra: Reasoning beyond Examples

    Science.gov (United States)

    Otten, Samuel; Herbel-Eisenmann, Beth A.; Males, Lorraine M.

    2010-01-01

    The purpose of this article is to provide an image of what proof could look like in beginning algebra, a course that nearly every secondary school student encounters. The authors present an actual classroom vignette in which a rich opportunity for student reasoning arose. After analyzing the proof schemes at play, the authors provide a…

  18. The inclusion of disability as a condition for termination of parental rights.

    Science.gov (United States)

    Lightfoot, Elizabeth; Hill, Katharine; LaLiberte, Traci

    2010-12-01

    All 50 states and the District of Columbia have statutes outlining the grounds for terminating parental rights (TPR) in relation to child abuse and neglect. Although recent research has found that parents with disabilities are not more likely to maltreat their children than parents without disabilities (Glaun & Brown, 1999; Oyserman, Mowbray, Meares, & Firminger, 2000), studies have found very high rates of TPR of parents with disabilities (Accardo & Whitman, 1989). The objective of this study is to examine how states are including disability in their TPR statutes. This study used legal document analysis, consisting of a comprehensive Boolean search of the state codes of the 50 states and District of Columbia (DC) relating to TPR, using the most recent state code available on Lexis-Nexis in August 2005. TPR and related statutes were searched for contemporary and historical disability related terms and their common cognates, such as: "mental," "disability," "handicap," and "incapacity." Two researchers independently conducted the searches, and the searches were reconciled. A code list was then developed to measure for inclusion of disability, preciseness, scope, use of language, and references to accessibility or fairness. Statutes were then reanalyzed, and groupings developed. Thirty-seven states included disability-related grounds for termination of parental rights, while 14 states did not include disability language as grounds for termination. Many of these state codes used outdated terminology, imprecise definitions, and emphasized disability status rather than behavior. All of the 14 states that do not include disability in TPR grounds allowed for termination based on neglectful parental behavior that may be influenced by a disability. The use of disability language in TPR statutes can put an undue focus on the condition of having a disability, rather than parenting behavior. This paper recommends that states consider removing disability language from their

  19. Modernizing quantum annealing using local searches

    International Nuclear Information System (INIS)

    Chancellor, Nicholas

    2017-01-01

    I describe how real quantum annealers may be used to perform local (in state space) searches around specified states, rather than the global searches traditionally implemented in the quantum annealing algorithm (QAA). Such protocols will have numerous advantages over simple quantum annealing. By using such searches the effect of problem mis-specification can be reduced, as only energy differences between the searched states will be relevant. The QAA is an analogue of simulated annealing, a classical numerical technique which has now been superseded. Hence, I explore two strategies to use an annealer in a way which takes advantage of modern classical optimization algorithms. Specifically, I show how sequential calls to quantum annealers can be used to construct analogues of population annealing and parallel tempering which use quantum searches as subroutines. The techniques given here can be applied not only to optimization, but also to sampling. I examine the feasibility of these protocols on real devices and note that implementing such protocols should require minimal if any change to the current design of the flux qubit-based annealers by D-Wave Systems Inc. I further provide proof-of-principle numerical experiments based on quantum Monte Carlo that demonstrate simple examples of the discussed techniques. (paper)

  20. On Callan's proof of the BPHZ theorem

    International Nuclear Information System (INIS)

    Lesniewski, A.

    1984-01-01

    The author gives an elementary proof of the BPHZ theorem in the case of the Euclidean lambdaphi 4 theory. The method of proof relies on a detailed analysis of the skeleton structure of graphs and estimates based on the Callan-Symanzik equations. (Auth.)

  1. A survey of noninteractive zero knowledge proof system and its applications.

    Science.gov (United States)

    Wu, Huixin; Wang, Feng

    2014-01-01

    Zero knowledge proof system which has received extensive attention since it was proposed is an important branch of cryptography and computational complexity theory. Thereinto, noninteractive zero knowledge proof system contains only one message sent by the prover to the verifier. It is widely used in the construction of various types of cryptographic protocols and cryptographic algorithms because of its good privacy, authentication, and lower interactive complexity. This paper reviews and analyzes the basic principles of noninteractive zero knowledge proof system, and summarizes the research progress achieved by noninteractive zero knowledge proof system on the following aspects: the definition and related models of noninteractive zero knowledge proof system, noninteractive zero knowledge proof system of NP problems, noninteractive statistical and perfect zero knowledge, the connection between noninteractive zero knowledge proof system, interactive zero knowledge proof system, and zap, and the specific applications of noninteractive zero knowledge proof system. This paper also points out the future research directions.

  2. A Survey of Noninteractive Zero Knowledge Proof System and Its Applications

    Directory of Open Access Journals (Sweden)

    Huixin Wu

    2014-01-01

    Full Text Available Zero knowledge proof system which has received extensive attention since it was proposed is an important branch of cryptography and computational complexity theory. Thereinto, noninteractive zero knowledge proof system contains only one message sent by the prover to the verifier. It is widely used in the construction of various types of cryptographic protocols and cryptographic algorithms because of its good privacy, authentication, and lower interactive complexity. This paper reviews and analyzes the basic principles of noninteractive zero knowledge proof system, and summarizes the research progress achieved by noninteractive zero knowledge proof system on the following aspects: the definition and related models of noninteractive zero knowledge proof system, noninteractive zero knowledge proof system of NP problems, noninteractive statistical and perfect zero knowledge, the connection between noninteractive zero knowledge proof system, interactive zero knowledge proof system, and zap, and the specific applications of noninteractive zero knowledge proof system. This paper also points out the future research directions.

  3. An illustration of the explanatory and discovery functions of proof

    Directory of Open Access Journals (Sweden)

    Michael de Villiers

    2012-11-01

    Full Text Available This article provides an illustration of the explanatory and discovery functions of proof with an original geometric conjecture made by a Grade 11 student. After logically explaining (proving the result geometrically and algebraically, the result is generalised to other polygons by further reflection on the proof(s. Different proofs are given, each giving different insights that lead to further generalisations. The underlying heuristic reasoning is carefully described in order to provide an exemplar for designing learning trajectories to engage students with these functions of proof.

  4. A Concise and Direct Proof of "Fermat's Last Theorem"

    OpenAIRE

    Ellman, Roger

    1998-01-01

    The recently developed proof of Fermat's Last Theorem is very lengthy and difficult, so much so as to be beyond all but a small body of specialists. While certainly of value in the developments that resulted, that proof could not be, nor was offered as being, possibly the proof Fermat had in mind. The present proof being brief, direct and concise is a candidate for being what Fermat had in mind. It is also completely accessible to any one trained in common algebra. That critical suggestions o...

  5. 28 CFR 79.35 - Proof of onset of leukemia at least two years after first exposure, and proof of onset of a...

    Science.gov (United States)

    2010-07-01

    ... 28 Judicial Administration 2 2010-07-01 2010-07-01 false Proof of onset of leukemia at least two... Participants § 79.35 Proof of onset of leukemia at least two years after first exposure, and proof of onset of... be the date of first or initial exposure. The date of onset will be the date of diagnosis as...

  6. Earthquake proof device for nuclear power plant building

    International Nuclear Information System (INIS)

    Okada, Yasuo.

    1991-01-01

    The structure of the present invention enables three dimensional vibration proof, i.e., in horizontal and vertical directions of a reactor container building. That is, each of the reactor container building and a reactor auxiliary building is adapted as an independent structure. The periphery of the reactor container building is surrounded by the reactor auxiliary building. The reactor auxiliary building is supported against the ground by way of a horizontal vibration proof device. The reactor container building is supported against the ground by way of a three-dimensional vibration proof device that prevents vibrations in both of the horizontal directions, and the vertical directions. The reactor container building is connected to the auxiliary building by way of a vertical vibration proof device. With such a constitution, although the reactor container building is vibration proof against both of the horizontal and the vertical vibrations, the vertical vibration proofness is an extension of inherent vertical vibration period. Accordingly, the head of the building undergoes rocking vibrations. However, since the reactor container building is connected to the reactor auxiliary building, the rocking vibrations are prevented by the reactor auxiliary building. As a result, safety upon occurrence of an earthquakes can be ensured. (I.S.)

  7. 28 CFR 79.13 - Proof of physical presence for the requisite period and proof of participation onsite during a...

    Science.gov (United States)

    2010-07-01

    ... participated onsite in the atmospheric detonation of a nuclear device. ... requisite period and proof of participation onsite during a period of atmospheric nuclear testing. 79.13... presence for the requisite period and proof of participation onsite during a period of atmospheric nuclear...

  8. Symbolic logic syntax, semantics, and proof

    CERN Document Server

    Agler, David

    2012-01-01

    Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs.

  9. Using the automata processor for fast pattern recognition in high energy physics experiments—A proof of concept

    Energy Technology Data Exchange (ETDEWEB)

    Wang, Michael H.L.S., E-mail: mwang@fnal.gov [Fermi National Accelerator Laboratory, Batavia, IL 60510 (United States); Cancelo, Gustavo; Green, Christopher [Fermi National Accelerator Laboratory, Batavia, IL 60510 (United States); Guo, Deyuan; Wang, Ke [University of Virginia, Charlottesville, VA 22904 (United States); Zmuda, Ted [Fermi National Accelerator Laboratory, Batavia, IL 60510 (United States)

    2016-10-01

    We explore the Micron Automata Processor (AP) as a suitable commodity technology that can address the growing computational needs of pattern recognition in High Energy Physics (HEP) experiments. A toy detector model is developed for which an electron track confirmation trigger based on the Micron AP serves as a test case. Although primarily meant for high speed text-based searches, we demonstrate a proof of concept for the use of the Micron AP in a HEP trigger application.

  10. Data-oriented scheduling for PROOF

    International Nuclear Information System (INIS)

    Xu Neng; Guan Wen; Wu Sau Lan; Ganis, Gerardo

    2011-01-01

    The Parallel ROOT Facility - PROOF - is a distributed analysis system optimized for I/O intensive analysis tasks of HEP data. With LHC entering the analysis phase, PROOF has become a natural ingredient for computing farms at Tier3 level. These analysis facilities will typically be used by a few tenths of users, and can also be federated into a sort of analysis cloud corresponding to the Virtual Organization of the experiment. Proper scheduling is required to guarantee fair resource usage, to enforce priority policies and to optimize the throughput. In this paper we discuss an advanced priority system that we are developing for PROOF. The system has been designed to automatically adapt to unknown length of the tasks, to take into account the data location and availability (including distribution across geographically separated sites), and the {group, user} default priorities. In this system, every element - user, group, dataset, job slot and storage - gets its priority and those priorities are dynamically linked with each other. In order to tune the interplay between the various components, we have designed and started implementing a simulation application that can model various type and size of PROOF clusters. In this application a monitoring package records all the changes of them so that we can easily understand and tune the performance. We will discuss the status of our simulation and show examples of the results we are expecting from it.

  11. Positions priming in briefly presented search arrays

    DEFF Research Database (Denmark)

    Asgeirsson, Arni Gunnar; Kristjánsson, Árni; Kyllingsbæk, Søren

    2011-01-01

    Repetition priming in visual search has been a topic of extensive research since Maljkovic & Nakayama [1994, Memory & Cognition, 22, 657-672] presented the first detailed studies of such effects. Their results showed large reductions in reaction times when target color was repeated on consecutive...... the targets are oddly colored alphanumeric characters. The effects arise at very low exposure durations and benefit accuracy at all exposure durations towards the subjects’ ceiling. We conclude that temporally constricted experimental conditions can add to our understanding priming in visual search...... pop-out search trials. Such repetition effects have since been generalized to a multitude of target attributes. Priming has primarily been investigated using self-terminating visual search paradigms, comparing differences in response times. Response accuracy has predominantly served as a control...

  12. Verifying Process Algebra Proofs in Type Theory

    NARCIS (Netherlands)

    Sellink, M.P.A.

    In this paper we study automatic verification of proofs in process algebra. Formulas of process algebra are represented by types in typed λ-calculus. Inhabitants (terms) of these types represent proofs. The specific typed λ-calculus we use is the Calculus of Inductive Constructions as implemented

  13. Non-Well-Founded Proofs for the Grzegorczyk Modal Logic

    OpenAIRE

    Savateev, Yury; Shamkanov, Daniyar

    2018-01-01

    We present a sequent calculus for the Grzegorczyk modal logic Grz allowing cyclic and other non-well-founded proofs and obtain the cut-elimination theorem for it by constructing a continuous cut-elimination mapping acting on these proofs. As an application, we establish the Lyndon interpolation property for the logic Grz proof-theoretically.

  14. Mathematicians' Perspectives on Features of a Good Pedagogical Proof

    Science.gov (United States)

    Lai, Yvonne; Weber, Keith; Mejia-Ramos, Juan Pablo

    2012-01-01

    In this article, we report two studies investigating what mathematicians value in a pedagogical proof. Study 1 is a qualitative study of how eight mathematicians revised two proofs that would be presented in a course for mathematics majors. These mathematicians thought that introductory and concluding sentences should be included in the proofs,…

  15. A Calculus of Circular Proofs and its Categorical Semantics

    DEFF Research Database (Denmark)

    Santocanale, Luigi

    2002-01-01

    We present a calculus of "circular proofs": the graph underlying a proof is not a finite tree but instead it is allowed to contain a certain amount of cycles.The main challenge in developing a theory for the calculus is to define the semantics of proofs, since the usual method by induction...

  16. Performance comparison of a new hybrid conjugate gradient method under exact and inexact line searches

    Science.gov (United States)

    Ghani, N. H. A.; Mohamed, N. S.; Zull, N.; Shoid, S.; Rivaie, M.; Mamat, M.

    2017-09-01

    Conjugate gradient (CG) method is one of iterative techniques prominently used in solving unconstrained optimization problems due to its simplicity, low memory storage, and good convergence analysis. This paper presents a new hybrid conjugate gradient method, named NRM1 method. The method is analyzed under the exact and inexact line searches in given conditions. Theoretically, proofs show that the NRM1 method satisfies the sufficient descent condition with both line searches. The computational result indicates that NRM1 method is capable in solving the standard unconstrained optimization problems used. On the other hand, the NRM1 method performs better under inexact line search compared with exact line search.

  17. Proof of payment for all reimbursement claims

    CERN Multimedia

    HR Department

    2006-01-01

    Members of the personnel are kindly requested to note that only documents proving that a payment has been made are accepted as proof of payment for any claims for reimbursement, including specifically the reimbursement of education fees. In particular, the following will be accepted as proof of payment: bank or post office bank statements indicating the name of the institution to which the payment was made; photocopies of cheques made out to the institution to which the payments were made together with bank statements showing the numbers of the relevant cheques; proof of payment in the form of discharged payment slips; invoices with acknowledgement of settlement, receipts, bank statements detailing operations crediting another account or similar documents. As a result, the following documents in particular will no longer be accepted as proof of payment: photocopies of cheques that are not submitted together with bank or post office bank statements showing the numbers of the relevant cheques; details of ...

  18. Problems and proofs in numbers and algebra

    CERN Document Server

    Millman, Richard S; Kahn, Eric Brendan

    2015-01-01

    Designed to facilitate the transition from undergraduate calculus and differential equations to learning about proofs, this book helps students develop the rigorous mathematical reasoning needed for advanced courses in analysis, abstract algebra, and more. Students will focus on both how to prove theorems and solve problem sets in-depth; that is, where multiple steps are needed to prove or solve. This proof technique is developed by examining two specific content themes and their applications in-depth: number theory and algebra. This choice of content themes enables students to develop an understanding of proof technique in the context of topics with which they are already familiar, as well as reinforcing natural and conceptual understandings of mathematical methods and styles. The key to the text is its interesting and intriguing problems, exercises, theorems, and proofs, showing how students will transition from the usual, more routine calculus to abstraction while also learning how to “prove” or “sol...

  19. On the burden of proof in civil procedure

    Directory of Open Access Journals (Sweden)

    Keča Ranko

    2013-01-01

    Full Text Available The appliance of burden of proof rules is conceived of assumption that evidences are taken and that court didn't reach the required degree of conviction of a particular fact, what implies limitation of application of these rules on proceedings in which the judgment is rendered after the plenary proceedings. The Code of Civil Procedure (CCP has no suitable answers for the problems arising from new conception of the principle of party control of facts and means of proof in Serbian litigation legislature, by which the court has no more power to take the evidence ex offo. There is no answer to the question how should court conduct when evidence is not taken because of a lack of parties' indication of the means of proof. In this case courts practice somehow wider conception of burden of proof rules, which however has no explicit legal ground. They are applying them even though evidences are not taken. In any case it would be useful to reformulate basic rule of burden of proof in manner which would correspondent to the new conception of the principle of party presentation. The rule of burden of proof applies when the high degree of conviction of facts is demanded from the court, in order to render the judgment. Consequently this rule loses its' sense when mere probability of factual findings is demanded. The broader conception of parties' representation principle however does not liberate court from his responsibility to clarify facts that should be base for adjudication. Circumstance that CCP does mention the principle of material truth anymore should not be seen as argument for liberation of mentioned responsibility. It is still expected from the court to be active. Only when joint effort of the court and parties is left without of goal, in sense that court doesn't reach the high degree conviction, there would be ground for burden of proof rule's application. In this situation court also must justify why he couldn't reach required degree of

  20. Semantic Contamination and Mathematical Proof: Can a Non-Proof Prove?

    Science.gov (United States)

    Mejia-Ramos, Juan Pablo; Inglis, Matthew

    2011-01-01

    The way words are used in natural language can influence how the same words are understood by students in formal educational contexts. Here we argue that this so-called semantic contamination effect plays a role in determining how students engage with mathematical proof, a fundamental aspect of learning mathematics. Analyses of responses to…

  1. Termination of Safeguards on ULWBR Material

    International Nuclear Information System (INIS)

    Ivan R. Thomas; Ernest L. Laible

    2008-01-01

    The Department of Energy (DOE), Office of Environmental Management, has approved the disposition of 31 metric tons of Unirradiated Light Water Breeder Reactor (ULWBR) material in canisters stored within dry wells of the Underground Fuel Storage Facility at the Idaho Nuclear Technology and Engineering Center (INTEC). This unirradiated material consists primarily of ceramic pellets of thorium oxide in stainless steel cladding, but it also contains 300 kilograms of uranium that is 98 wt% U-233. The ULWBR material was not processed at the INTEC because it was incompatible with prior chemical separation schemes. Other economical recovery options have not been identified, and expressions of interest for consolidating the material with existing projects at other DOE sites have not been received. The U-233 could be used for producing the medical isotope Actinium-225, but the proof-of-principle demonstration and follow-on pilot program have not been developed to the point of requiring production quantities of U-233. Consequently, the selected disposition of the ULWBR material was burial as Low Level Waste at the Nevada Test Site (NTS), which required terminating safeguards controls for the contained Category II quantity of Attractiveness Level D special nuclear material (SNM). The requested termination followed the twelve point evaluation criteria of the Historical Defense Program Discard Guidance and included a security analysis for evaluating the risks of theft, diversion, and radiological sabotage associated with the material. Continuity of knowledge in the book inventory was assured by documenting that the original shipper's measurements accurately reflected the quantities of materials received and that the ULWBR materials had remained under adequate physical protection and had been subject to periodic physical inventories. The method selected for substantiating the book values as the basis for terminating safeguards was the nondestructive assay used during physical

  2. A novel directional asymmetric sampling search algorithm for fast block-matching motion estimation

    Science.gov (United States)

    Li, Yue-e.; Wang, Qiang

    2011-11-01

    This paper proposes a novel directional asymmetric sampling search (DASS) algorithm for video compression. Making full use of the error information (block distortions) of the search patterns, eight different direction search patterns are designed for various situations. The strategy of local sampling search is employed for the search of big-motion vector. In order to further speed up the search, early termination strategy is adopted in procedure of DASS. Compared to conventional fast algorithms, the proposed method has the most satisfactory PSNR values for all test sequences.

  3. On the proof of the first Carnot theorem in thermodynamics

    International Nuclear Information System (INIS)

    Morad, M R; Momeni, F

    2013-01-01

    The proof of the first Carnot theorem in classical thermodynamics is revisited in this study. The underlying conditions of a general proof of this principle presented by Senft (1978 Phys. Educ. 13 35–37) are explored and discussed. These conditions are analysed in more detail using a physical description of heat and work to present a simpler proof of the first principle prior to using the violation of the second law of thermodynamics. Finally, a new simple proof is also presented based on Gibbs relation. This discussion will benefit the teaching of classical thermodynamics and promote better understanding of the proof of the first Carnot theorem in general form. (paper)

  4. Construction of state-independent proofs for quantum contextuality

    Science.gov (United States)

    Tang, Weidong; Yu, Sixia

    2017-12-01

    Since the enlightening proofs of quantum contextuality first established by Kochen and Specker, and also by Bell, various simplified proofs have been constructed to exclude the noncontextual hidden variable theory of our nature at the microscopic scale. The conflict between the noncontextual hidden variable theory and quantum mechanics is commonly revealed by Kochen-Specker sets of yes-no tests, represented by projectors (or rays), via either logical contradictions or noncontextuality inequalities in a state-(in)dependent manner. Here we propose a systematic and programmable construction of a state-independent proof from a given set of nonspecific rays in C3 according to their Gram matrix. This approach brings us a greater convenience in the experimental arrangements. Besides, our proofs in C3 can also be generalized to any higher-dimensional systems by a recursive method.

  5. Adapting proofs-as-programs the Curry-Howard protocol

    CERN Document Server

    Poernomo, Iman Hafiz; Crossley, John Newsome

    2007-01-01

    Details developments in the direction of a practical proofs-as-programs paradigm, which constitutes a set of approaches to developing programs from proofs in constructive logic with applications to industrial-scale, complex software engineering problems.

  6. 14 CFR 406.155 - Offer of proof.

    Science.gov (United States)

    2010-01-01

    ... 14 Aeronautics and Space 4 2010-01-01 2010-01-01 false Offer of proof. 406.155 Section 406.155... Transportation Adjudications § 406.155 Offer of proof. A party whose evidence has been excluded by a ruling of the administrative law judge may offer the evidence for the record on appeal. ...

  7. Interval logic. Proof theory and theorem proving

    DEFF Research Database (Denmark)

    Rasmussen, Thomas Marthedal

    2002-01-01

    of a direction of an interval, and present a sound and complete Hilbert proof system for it. Because of its generality, SIL can conveniently act as a general formalism in which other interval logics can be encoded. We develop proof theory for SIL including both a sequent calculus system and a labelled natural...

  8. 14 CFR 25.307 - Proof of structure.

    Science.gov (United States)

    2010-01-01

    ... 14 Aeronautics and Space 1 2010-01-01 2010-01-01 false Proof of structure. 25.307 Section 25.307... STANDARDS: TRANSPORT CATEGORY AIRPLANES Structure General § 25.307 Proof of structure. (a) Compliance with... condition. Structural analysis may be used only if the structure conforms to that for which experience has...

  9. 14 CFR 23.307 - Proof of structure.

    Science.gov (United States)

    2010-01-01

    ... 14 Aeronautics and Space 1 2010-01-01 2010-01-01 false Proof of structure. 23.307 Section 23.307... STANDARDS: NORMAL, UTILITY, ACROBATIC, AND COMMUTER CATEGORY AIRPLANES Structure General § 23.307 Proof of structure. (a) Compliance with the strength and deformation requirements of § 23.305 must be shown for each...

  10. Autonomous intelligent cars: proof that the EPSRC Principles are future-proof

    NARCIS (Netherlands)

    de Bruin, R.W.; de Cock Buning, M.

    2017-01-01

    Principle 2 of the EPSRC’s principles of robotics (AISB workshop on PrinciplesofRobotics, 2016) proves to be future proof when applied to the current state of the art of law and technology surrounding autonomous intelligent cars (AICs). Humans, not AICS, are responsible agents. AICs should be

  11. ISART: A Generic Framework for Searching Books with Social Information.

    Science.gov (United States)

    Yin, Xu-Cheng; Zhang, Bo-Wen; Cui, Xiao-Ping; Qu, Jiao; Geng, Bin; Zhou, Fang; Song, Li; Hao, Hong-Wei

    2016-01-01

    Effective book search has been discussed for decades and is still future-proof in areas as diverse as computer science, informatics, e-commerce and even culture and arts. A variety of social information contents (e.g, ratings, tags and reviews) emerge with the huge number of books on the Web, but how they are utilized for searching and finding books is seldom investigated. Here we develop an Integrated Search And Recommendation Technology (IsArt), which breaks new ground by providing a generic framework for searching books with rich social information. IsArt comprises a search engine to rank books with book contents and professional metadata, a Generalized Content-based Filtering model to thereafter rerank books with user-generated social contents, and a learning-to-rank technique to finally combine a wide range of diverse reranking results. Experiments show that this technology permits embedding social information to promote book search effectiveness, and IsArt, by making use of it, has the best performance on CLEF/INEX Social Book Search Evaluation datasets of all 4 years (from 2011 to 2014), compared with some other state-of-the-art methods.

  12. Towards a comprehensive knowledge package for teaching proof: A focus on the misconception that empirical arguments are proofs

    Directory of Open Access Journals (Sweden)

    Andreas J. Stylianides

    2011-08-01

    Full Text Available The concept of proof is central to meaningful learning of mathematics, but is hard for students to learn. A serious misconception dominant amongst students at all levels of schooling is that empirical arguments are proofs. An important question, then, is the following: What knowledge might enable teachers to help students overcome this misconception? Earlier research led to construction of a significant but rather incomplete ‘knowledge package’ for teaching in this area. Major elements of this knowledge package are summarised and its further development is contributed to by discussing a research-based instructional intervention found to be effective in helping secondary students begin to overcome the misconception that empirical arguments are proofs. Implications for mathematics teacher education are considered.

  13. A search engine to access PubMed monolingual subsets: proof of concept and evaluation in French.

    Science.gov (United States)

    Griffon, Nicolas; Schuers, Matthieu; Soualmia, Lina Fatima; Grosjean, Julien; Kerdelhué, Gaétan; Kergourlay, Ivan; Dahamna, Badisse; Darmoni, Stéfan Jacques

    2014-12-01

    PubMed contains numerous articles in languages other than English. However, existing solutions to access these articles in the language in which they were written remain unconvincing. The aim of this study was to propose a practical search engine, called Multilingual PubMed, which will permit access to a PubMed subset in 1 language and to evaluate the precision and coverage for the French version (Multilingual PubMed-French). To create this tool, translations of MeSH were enriched (eg, adding synonyms and translations in French) and integrated into a terminology portal. PubMed subsets in several European languages were also added to our database using a dedicated parser. The response time for the generic semantic search engine was evaluated for simple queries. BabelMeSH, Multilingual PubMed-French, and 3 different PubMed strategies were compared by searching for literature in French. Precision and coverage were measured for 20 randomly selected queries. The results were evaluated as relevant to title and abstract, the evaluator being blind to search strategy. More than 650,000 PubMed citations in French were integrated into the Multilingual PubMed-French information system. The response times were all below the threshold defined for usability (2 seconds). Two search strategies (Multilingual PubMed-French and 1 PubMed strategy) showed high precision (0.93 and 0.97, respectively), but coverage was 4 times higher for Multilingual PubMed-French. It is now possible to freely access biomedical literature using a practical search tool in French. This tool will be of particular interest for health professionals and other end users who do not read or query sufficiently in English. The information system is theoretically well suited to expand the approach to other European languages, such as German, Spanish, Norwegian, and Portuguese.

  14. Proof, rigour and informality : a virtue account of mathematical knowledge

    OpenAIRE

    Tanswell, Fenner Stanley

    2017-01-01

    This thesis is about the nature of proofs in mathematics as it is practiced, contrasting the informal proofs found in practice with formal proofs in formal systems. In the first chapter I present a new argument against the Formalist-Reductionist view that informal proofs are justified as rigorous and correct by corresponding to formal counterparts. The second chapter builds on this to reject arguments from Gödel's paradox and incompleteness theorems to the claim that mathematics is inherently...

  15. 14 CFR 16.231 - Offer of proof.

    Science.gov (United States)

    2010-01-01

    ... 14 Aeronautics and Space 1 2010-01-01 2010-01-01 false Offer of proof. 16.231 Section 16.231... PRACTICE FOR FEDERALLY-ASSISTED AIRPORT ENFORCEMENT PROCEEDINGS Hearings § 16.231 Offer of proof. A party whose evidence has been excluded by a ruling of the hearing officer may offer the evidence on the record...

  16. 49 CFR 1503.641 - Offer of proof.

    Science.gov (United States)

    2010-10-01

    ... 49 Transportation 9 2010-10-01 2010-10-01 false Offer of proof. 1503.641 Section 1503.641... Rules of Practice in TSA Civil Penalty Actions § 1503.641 Offer of proof. A party whose evidence has been excluded by a ruling of the ALJ may offer the evidence for the record on appeal. ...

  17. A review of the scientific rationale and methods used in the search for other planetary systems

    Science.gov (United States)

    Black, D. C.

    1985-01-01

    Planetary systems appear to be one of the crucial links in the chain leading from simple molecules to living systems, particularly complex (intelligent?) living systems. Although there is currently no observational proof of the existence of any planetary system other than our own, techniques are now being developed which will permit a comprehensive search for other planetary systems. The scientific rationale for and methods used in such a search effort are reviewed here.

  18. [Burden of proof in medical cases--presumption of fact and prima facie evidence. 1. Burden of proof].

    Science.gov (United States)

    Sliwka, Marcin

    2004-01-01

    The aim of this paper was to present the main rules concerning the burden of proof in polish civil trials, including medical cases. This paper also describes the subject of evidence were presented and explained. The court influence on evidence procedure was also analysed. The effect of the institution of informed consent on burden of proof in polish civil law is also described. This paper includes numerous High Court sentences on evidential and medical issues.

  19. Visualizing Probabilistic Proof

    OpenAIRE

    Guerra-Pujol, Enrique

    2015-01-01

    The author revisits the Blue Bus Problem, a famous thought-experiment in law involving probabilistic proof, and presents simple Bayesian solutions to different versions of the blue bus hypothetical. In addition, the author expresses his solutions in standard and visual formats, i.e. in terms of probabilities and natural frequencies.

  20. On Mathematicians' Proof Skimming: A Reply to Inglis and Alcock

    Science.gov (United States)

    Weber, Keith; Mejia-Ramos, Juan Pablo

    2013-01-01

    n a recent article, Inglis and Alcock (2012) contended that their data challenge the claim that when mathematicians validate proofs, they initially skim a proof to grasp its main idea before reading individual parts of the proof more carefully. This result is based on the fact that when mathematicians read proofs in their study, on average their…

  1. 14 CFR 13.225 - Offer of proof.

    Science.gov (United States)

    2010-01-01

    ... 14 Aeronautics and Space 1 2010-01-01 2010-01-01 false Offer of proof. 13.225 Section 13.225... INVESTIGATIVE AND ENFORCEMENT PROCEDURES Rules of Practice in FAA Civil Penalty Actions § 13.225 Offer of proof. A party whose evidence has been excluded by a ruling of the administrative law judge may offer the...

  2. 34 CFR 34.14 - Burden of proof.

    Science.gov (United States)

    2010-07-01

    ... 34 Education 1 2010-07-01 2010-07-01 false Burden of proof. 34.14 Section 34.14 Education Office of the Secretary, Department of Education ADMINISTRATIVE WAGE GARNISHMENT § 34.14 Burden of proof. (a... those in § 34.24. (d)(1) If you object on the ground that applicable law bars us from collecting the...

  3. Visual Considerations in the Presentation of Mathematical Proofs

    Directory of Open Access Journals (Sweden)

    Lara Alcock

    2010-11-01

    Full Text Available This article is about visual issues in the presentation of mathematics within teaching situations. It focuses particularly on the presentation of proofs to undergraduate students. We describe some of the decisions that a lecturer must make when presenting a written proof, from the layout of individual equations to the layout of a whole argument on the page. We consider the way in which these decisions are made explicit for lecturers who construct electronic learning resources termed e-Proofs, and conclude by discussing the constraints and affordances of this technology.

  4. Co-constructive Logics for Proofs and Refutations

    Directory of Open Access Journals (Sweden)

    Trafford James

    2015-01-01

    Full Text Available This paper considers logics which are formally dual to intuitionistic logic in order to investigate a co-constructive logic for proofs and refutations. This is philosophically motivated by a set of problems regarding the nature of constructive truth, and its relation to falsity. It is well known both that intuitionism can not deal constructively with negative information, and that defining falsity by means of intuitionistic negation leads, under widely-held assumptions, to a justification of bivalence. For example, we do not want to equate falsity with the non-existence of a proof since this would render a statement such as “pi is transcendental” false prior to 1882. In addition, the intuitionist account of negation as shorthand for the derivation of absurdity is inadequate, particularly outside of purely mathematical contexts. To deal with these issues, I investigate the dual of intuitionistic logic, co-intuitionistic logic, as a logic of refutation, alongside intuitionistic logic of proofs. Direct proof and refutation are dual to each other, and are constructive, whilst there also exist syntactic, weak, negations within both logics. In this respect, the logic of refutation is weakly paraconsistent in the sense that it allows for statements for which, neither they, nor their negation, are refuted. I provide a proof theory for the co-constructive logic, a formal dualizing map between the logics, and a Kripke-style semantics. This is given an intuitive philosophical rendering in a re-interpretation of Kolmogorov's logic of problems.

  5. Gödel's Proof

    Indian Academy of Sciences (India)

    Home; Journals; Resonance – Journal of Science Education; Volume 12; Issue 5. Gödel's Proof - Incompleteness Theorems. S M Srivastava. General Article Volume 12 Issue 5 May 2007 pp 71-84. Fulltext. Click here to view fulltext PDF. Permanent link: https://www.ias.ac.in/article/fulltext/reso/012/05/0071-0084. Keywords.

  6. Evaluation model for enterprise standardization programs: the case of Petrobras Transporte's marine terminals unit

    Energy Technology Data Exchange (ETDEWEB)

    Maldonado, Luciano; De Ludovico Almeida, Maria Fatima; Penchino Pereira, Paulo Penchina; Santos, Ubirajara; Henrique Ferreira, Manoel; Muller, Gabriela [Petrobras Transporte - Transpetro (Brazil)

    2010-07-01

    With the economic opening and the globalization process, standardization, metrology and quality activities have become known among companies as knowledge areas with direct impact on their search for operational excellence and competitiveness. Petrobras Transporte's Marine Terminal Units has been working over the last years to be recognized as a reference in the activities it pursues. This is based on the Petrobras Transporte's strategic plan 2020, which foresees amongst others, the specialization of technical workforce, operational safety excellence, capital discipline, customer satisfaction, the search for new technologies and markets and the rendering of new services. To achieve these goals, the Marine Terminals Standardization Program must be adhered to. Since that program was launched in 2004, the need for an evaluation model to evaluate its implementation progress, measure the degree of standards compliance and its potential economic, social and environmental impacts have become evident. This paper describes the innovative evaluation model applied to Petrobras Transporte's marine terminals standardization program.

  7. 41 CFR 60-30.19 - Objections; exceptions; offer of proof.

    Science.gov (United States)

    2010-07-01

    ... exceptions to the Administrative Law Judge's recommendations and conclusions. (c) Offer of proof. An offer of...; offer of proof. 60-30.19 Section 60-30.19 Public Contracts and Property Management Other Provisions... EXECUTIVE ORDER 11246 Hearings and Related Matters § 60-30.19 Objections; exceptions; offer of proof. (a...

  8. A simple proof of Debreu's Gap Lemma | Ouwehand | ORiON

    African Journals Online (AJOL)

    Debreu's Gap Lemma is central to the proof of his fundamental result on the existence of continuous utility functions. A short proof based on a standard textbook construction of utility functions on countable linearly ordered sets is presented here. The proof is accessible to students with limited mathematical background, thus ...

  9. A String of Pearls: Proofs of Fermat's Little Theorem

    Directory of Open Access Journals (Sweden)

    Hing Lun Chan

    2013-01-01

    Full Text Available We discuss mechanised proofs of Fermat's Little Theorem in a variety of styles, focusing in particular on an elegant combinatorial ``necklace'' proof that has not been mechanised previously.What is elegant in prose turns out to be long-winded mechanically, and so we examine the effect of explicitly appealing to group theory. This has pleasant consequences both for the necklace proof, and also for some of the direct number-theoretic approaches.

  10. BIOMedical Search Engine Framework: Lightweight and customized implementation of domain-specific biomedical search engines.

    Science.gov (United States)

    Jácome, Alberto G; Fdez-Riverola, Florentino; Lourenço, Anália

    2016-07-01

    Text mining and semantic analysis approaches can be applied to the construction of biomedical domain-specific search engines and provide an attractive alternative to create personalized and enhanced search experiences. Therefore, this work introduces the new open-source BIOMedical Search Engine Framework for the fast and lightweight development of domain-specific search engines. The rationale behind this framework is to incorporate core features typically available in search engine frameworks with flexible and extensible technologies to retrieve biomedical documents, annotate meaningful domain concepts, and develop highly customized Web search interfaces. The BIOMedical Search Engine Framework integrates taggers for major biomedical concepts, such as diseases, drugs, genes, proteins, compounds and organisms, and enables the use of domain-specific controlled vocabulary. Technologies from the Typesafe Reactive Platform, the AngularJS JavaScript framework and the Bootstrap HTML/CSS framework support the customization of the domain-oriented search application. Moreover, the RESTful API of the BIOMedical Search Engine Framework allows the integration of the search engine into existing systems or a complete web interface personalization. The construction of the Smart Drug Search is described as proof-of-concept of the BIOMedical Search Engine Framework. This public search engine catalogs scientific literature about antimicrobial resistance, microbial virulence and topics alike. The keyword-based queries of the users are transformed into concepts and search results are presented and ranked accordingly. The semantic graph view portraits all the concepts found in the results, and the researcher may look into the relevance of different concepts, the strength of direct relations, and non-trivial, indirect relations. The number of occurrences of the concept shows its importance to the query, and the frequency of concept co-occurrence is indicative of biological relations

  11. Another proof of Gell-Mann and Low's theorem

    OpenAIRE

    Molinari, Luca Guido

    2006-01-01

    The theorem by Gell-Mann and Low is a cornerstone in QFT and zero-temperature many-body theory. The standard proof is based on Dyson's time-ordered expansion of the propagator; a proof based on exact identities for the time-propagator is here given.

  12. 16 CFR 23.10 - Misuse of “corrosion proof,” “noncorrosive,” “corrosion resistant,” “rust proof,” “rust resistant...

    Science.gov (United States)

    2010-01-01

    ... INDUSTRIES § 23.10 Misuse of “corrosion proof,” “noncorrosive,” “corrosion resistant,” “rust proof,” “rust resistant,” etc. (a) It is unfair or deceptive to: (1) Use the terms “corrosion proof,” “noncorrosive... the product will be immune from rust and other forms of corrosion during the life expectancy of the...

  13. Termination or Transition: A 21st Century Perspective on the Military’s Role in Conflict Resolution

    Science.gov (United States)

    2009-05-01

    Director, Robert F. Baumann, Ph.D. Graduate Degree Programs iii Abstract TRANSITION OR TERMINATION: A 21 ST CENTURY...1992) and James Raymer , In Search of Lasting Results: Military War Termination Doctrine (Fort Leavenworth, KS: US Army Command and General Staff... Robert E. Baumann, and John T. Fishel, Invasion, Intervention, and “Intervasion”: A Concise History of the US Army in Operation Uphold Democracy

  14. How Mathematicians Determine if an Argument Is a Valid Proof

    Science.gov (United States)

    Weber, Keith

    2008-01-01

    The purpose of this article is to investigate the mathematical practice of proof validation--that is, the act of determining whether an argument constitutes a valid proof. The results of a study with 8 mathematicians are reported. The mathematicians were observed as they read purported mathematical proofs and made judgments about their validity;…

  15. The quadratic reciprocity law a collection of classical proofs

    CERN Document Server

    Baumgart, Oswald

    2015-01-01

    This book is the English translation of Baumgart’s thesis on the early proofs of the quadratic reciprocity law (“Über das quadratische Reciprocitätsgesetz. Eine vergleichende Darstellung der Beweise”), first published in 1885. It is divided into two parts. The first part presents a very brief history of the development of number theory up to Legendre, as well as detailed descriptions of several early proofs of the quadratic reciprocity law. The second part highlights Baumgart’s comparisons of the principles behind these proofs. A current list of all known proofs of the quadratic reciprocity law, with complete references, is provided in the appendix. This book will appeal to all readers interested in elementary number theory and the history of number theory.

  16. Another proof of Gell-Mann and Low's theorem

    International Nuclear Information System (INIS)

    Molinari, Luca Guido

    2007-01-01

    The theorem by Gell-Mann and Low is a cornerstone in quantum field theory and zero-temperature many-body theory. The standard proof is based on Dyson's time-ordered expansion of the propagator; a proof based on exact identities for the time propagator is here given

  17. Microstructural investigation of variations in the proof strength of Nimonic PE16

    International Nuclear Information System (INIS)

    Riley, B.F.; Wilson, E.G.; Jones, A.R.

    1987-01-01

    Nimonic PE16 shows a correlation of stress rupture behaviour after irradiation with proof strength. Proof testing of material from bars from several casts yielded a relationship (Hall-Petch) between the peak-aged proof stress and grain size -1/2 but the scatter in proof stress values at a given grain size merited further microstructural study. Transmission electron microscopy revealed that high proof stress material contained dislocation densities consistent with material which had received 1 to 2% cold work, verified by examination of lightly prestrained tensile specimens. Ageing to peak strength induced partial recovery but some variability in proof stress remained. Variations in γ' size and composition having been eliminated, the scatter in proof stress values was attributed to variable cold work induced by the commercial bar straightening process. (Author)

  18. Accounting for Proof Test Data in a Reliability Based Design Optimization Framework

    Science.gov (United States)

    Ventor, Gerharad; Scotti, Stephen J.

    2012-01-01

    This paper investigates the use of proof (or acceptance) test data during the reliability based design optimization of structural components. It is assumed that every component will be proof tested and that the component will only enter into service if it passes the proof test. The goal is to reduce the component weight, while maintaining high reliability, by exploiting the proof test results during the design process. The proposed procedure results in the simultaneous design of the structural component and the proof test itself and provides the designer with direct control over the probability of failing the proof test. The procedure is illustrated using two analytical example problems and the results indicate that significant weight savings are possible when exploiting the proof test results during the design process.

  19. A portable virtual machine target for proof-carrying code

    DEFF Research Database (Denmark)

    Franz, Michael; Chandra, Deepak; Gal, Andreas

    2005-01-01

    Virtual Machines (VMs) and Proof-Carrying Code (PCC) are two techniques that have been used independently to provide safety for (mobile) code. Existing virtual machines, such as the Java VM, have several drawbacks: First, the effort required for safety verification is considerable. Second and mor...... simultaneously providing efficient justin-time compilation and target-machine independence. In particular, our approach reduces the complexity of the required proofs, resulting in fewer proof obligations that need to be discharged at the target machine....

  20. Relativistic particle dynamics: Lagrangian proof of the no-interaction theorem

    International Nuclear Information System (INIS)

    Marmo, G.; Mukunda, N.; Sudarshan, E.C.G.

    1983-11-01

    An economical proof is given, in the Lagrangian framework, of the No Interaction Theorem of relativistic particle mechanics. It is based on the assumption that there is a Lagrangian, which if singular is allowed to lead at most to primary first class constraints. The proof works with Lagrange rather than Poisson brackets, leading to considerable simplifications compared to other proofs

  1. The direct Flow parametric Proof of Gauss' Divergence Theorem revisited

    DEFF Research Database (Denmark)

    Markvorsen, Steen

    The standard proof of the divergence theorem in undergraduate calculus courses covers the theorem for static domains between two graph surfaces. We show that within first year undergraduate curriculum, the flow proof of the dynamic version of the divergence theorem - which is usually considered...... we apply the key instrumental concepts and verify the various steps towards this alternative proof of the divergence theorem....

  2. Three Styles Characterising Mathematicians' Pedagogical Perspectives on Proof

    Science.gov (United States)

    Hemmi, Kirsti

    2010-01-01

    The article describes mathematicians' pedagogical perspectives on proof in the teaching of first year university students at a mathematics department in Sweden. A conceptual frame that was used in the data analysis combines theories about proof from earlier mathematics education research with a social practice approach of Lave and Wenger. A…

  3. Reliability analysis of structures under periodic proof tests in service

    Science.gov (United States)

    Yang, J.-N.

    1976-01-01

    A reliability analysis of structures subjected to random service loads and periodic proof tests treats gust loads and maneuver loads as random processes. Crack initiation, crack propagation, and strength degradation are treated as the fatigue process. The time to fatigue crack initiation and ultimate strength are random variables. Residual strength decreases during crack propagation, so that failure rate increases with time. When a structure fails under periodic proof testing, a new structure is built and proof-tested. The probability of structural failure in service is derived from treatment of all the random variables, strength degradations, service loads, proof tests, and the renewal of failed structures. Some numerical examples are worked out.

  4. 33 CFR 136.233 - Proof.

    Science.gov (United States)

    2010-07-01

    ... SOURCE; AND ADVERTISEMENT Procedures for Particular Claims § 136.233 Proof. In addition to the... must be established. (d) Whether alternative employment or business was available and undertaken and...

  5. Proof Pad: A New Development Environment for ACL2

    Directory of Open Access Journals (Sweden)

    Caleb Eggensperger

    2013-04-01

    Full Text Available Most software development projects rely on Integrated Development Environments (IDEs based on the desktop paradigm, with an interactive, mouse-driven user interface. The standard installation of ACL2, on the other hand, is designed to work closely with Emacs. ACL2 experts, on the whole, like this mode of operation, but students and other new programmers who have learned to program with desktop IDEs often react negatively to the process of adapting to an unfamiliar form of interaction. This paper discusses Proof Pad, a new IDE for ACL2. Proof Pad is not the only attempt to provide ACL2 IDEs catering to students and beginning programmers. The ACL2 Sedan and DrACuLa systems arose from similar motivations. Proof Pad builds on the work of those systems, while also taking into account the unique workflow of the ACL2 theorem proving system. The design of Proof Pad incorporated user feedback from the outset, and that process continued through all stages of development. Feedback took the form of direct observation of users interacting with the IDE as well as questionnaires completed by users of Proof Pad and other ACL2 IDEs. The result is a streamlined interface and fast, responsive system that supports using ACL2 as a programming language and a theorem proving system. Proof Pad also provides a property-based testing environment with random data generation and automated interpretation of properties as ACL2 theorem definitions.

  6. Dimensional testing for reverse k-nearest neighbor search

    DEFF Research Database (Denmark)

    Casanova, Guillaume; Englmeier, Elias; Houle, Michael E.

    2017-01-01

    Given a query object q, reverse k-nearest neighbor (RkNN) search aims to locate those objects of the database that have q among their k-nearest neighbors. In this paper, we propose an approximation method for solving RkNN queries, where the pruning operations and termination tests are guided...... by a characterization of the intrinsic dimensionality of the data. The method can accommodate any index structure supporting incremental (forward) nearest-neighbor search for the generation and verification of candidates, while avoiding impractically-high preprocessing costs. We also provide experimental evidence...

  7. A New Small Emendation of Gödel's Ontological Proof

    Czech Academy of Sciences Publication Activity Database

    Hájek, Petr

    2002-01-01

    Roč. 71, č. 2 (2002), s. 149-164 ISSN 0039-3215 R&D Projects: GA MŠk LN00A056 Keywords : ontological proof * Gödel proof * modal logic * comprehension * positive properties Subject RIV: BA - General Mathematics

  8. Reversal burden of proof on corruption in Indonesia

    Directory of Open Access Journals (Sweden)

    Hibnu Nugroho

    2018-03-01

    Full Text Available Corruption becomes the greatest enemy most countries face including Indonesia. Commitment to eradicate corruption significantly increases yet it would be meaningless if it is not supported by adequate legislation to implement the law effectively. Reversal burden of proof essentially aims to facilitate law enforcers to seek and disclose assets a suspect owns allegedly as corruption crime. The principle of reversal burden of proof was originated from Anglo-Saxon countries and this still applies to certain cases such as bribery-related gratifications as Malaysia and Singapore implement. In Indonesia, provisions on the principle of reversal burden of proof have been long recognized even since 1960 on the first law on corruption crimes. Nevertheless, for more than a half of century, the provision on reversal burden of proof has never been implemented. It occurs since articles which govern the issues barely provide clear regulation. It only mentions the principle yet never issues an implemented regulation to support the principle. In regards to this, the research is aimed at investigating, seeking and analyzing the weaknesses in implementing the principle of reversal burden of proof in corruption crimes recently as well as discussing obstacles in law enforcement.

  9. How Will Online Affiliate Marketing Networks Impact Search Engine Rankings?

    OpenAIRE

    Janssen, David; Heck, Eric

    2007-01-01

    textabstractIn online affiliate marketing networks advertising web sites offer their affiliates revenues based on provided web site traffic and associated leads and sales. Advertising web sites can have a network of thousands of affiliates providing them with web site traffic through hyperlinks on their web sites. Search engines such as Google, MSN, and Yahoo, consider hyperlinks as a proof of quality and/or reliability of the linked web sites, and therefore use them to determine the relevanc...

  10. Proof of the positive energy theorem including the angular momentum contribution

    International Nuclear Information System (INIS)

    Zhang Jingfei; Chee, G.Y.; Guo Yongxin

    2005-01-01

    A proof of the positive energy theorem of general relativity is given. In this proof the gravitational Lagrangian is identified with that of Lau and is equivalent to the teleparallel Lagrangian modulo, a boundary term. The approach adopted in this proof uses the two-spinor method and the extended Witten identities and then combines the Brown-York and the Nester-Witten approaches. At the same time the proof is extended to the case involving the contribution of angular momentum by choosing a special shift vector

  11. ORION - Crew Module Side Hatch: Proof Pressure Test Anomaly Investigation

    Science.gov (United States)

    Evernden, Brent A.; Guzman, Oscar J.

    2018-01-01

    The Orion Multi-Purpose Crew Vehicle program was performing a proof pressure test on an engineering development unit (EDU) of the Orion Crew Module Side Hatch (CMSH) assembly. The purpose of the proof test was to demonstrate structural capability, with margin, at 1.5 times the maximum design pressure, before integrating the CMSH to the Orion Crew Module structural test article for subsequent pressure testing. The pressure test was performed at lower pressures of 3 psig, 10 psig and 15.75 psig with no apparent abnormal behavior or leaking. During pressurization to proof pressure of 23.32 psig, a loud 'pop' was heard at 21.3 psig. Upon review into the test cell, it was noted that the hatch had prematurely separated from the proof test fixture, thus immediately ending the test. The proof pressure test was expected be a simple verification but has since evolved into a significant joint failure investigation from both Lockheed Martin and NASA.

  12. Car sequencing is NP-hard: a short proof

    OpenAIRE

    B Estellon; F Gardi

    2013-01-01

    In this note, a new proof is given that the car sequencing (CS) problem is NP-hard. Established from the Hamiltonian Path problem, the reduction is direct while closing some gaps remaining in the previous NP-hardness results. Since CS is studied in many operational research courses, this result and its proof are particularly interesting for teaching purposes.

  13. A new proof of the positive energy theorem

    International Nuclear Information System (INIS)

    Witten, E.

    1981-01-01

    A new proof is given of the positive energy theorem of classical general relativity. Also, a new proof is given that there are no asymptotically Euclidean gravitational instantons. (These theorems have been proved previously, by a different method, by Schoen and Yau). The relevance of these results to the stability of Minkowski space is discussed. (orig.)

  14. A proof challenge: multiple alignment and information compression

    OpenAIRE

    Wolff, J Gerard

    2014-01-01

    These notes pose a "proof challenge": a proof, or disproof, of the proposition that "For any given body of information, I, expressed as a one-dimensional sequence of atomic symbols, a multiple alignment concept, described in the document, provides a means of encoding all the redundancy that may exist in I. Aspects of the challenge are described.

  15. 29 CFR 1919.73 - Unit proof test and examination of derricks.

    Science.gov (United States)

    2010-07-01

    ... 29 Labor 7 2010-07-01 2010-07-01 false Unit proof test and examination of derricks. 1919.73 Section 1919.73 Labor Regulations Relating to Labor (Continued) OCCUPATIONAL SAFETY AND HEALTH... Devices § 1919.73 Unit proof test and examination of derricks. (a) Unit proof tests of derricks shall be...

  16. Future-proofing nursing education.

    Science.gov (United States)

    Keighley, Tom

    2014-12-01

    The origin of future-proofing seems lost in the mists of recent history. Dictionaries date its use from about 1991, referring to the prevention of obsolescence in information technology manufacturing and occasionally in organizational systems. However, closer analysis in healthcare demonstrates it can be traced back to the Rand Corporation and the studies commissioned there in the 1960s. These aimed at identifying the predictive factors in planning healthcare, including development of the workforce. It is a managerial concept that helps to project a vision of change that is not simply reactive or short-term. It permits a focus on leadership and the maximising of learning opportunities and includes analysis of the policy horizon. It held within it an assumption about the importance of establishing the cognitive frameworks that would influence long-term behaviours and not focus simply on short-term gains. This paper utilises this approach to explore options for future-proofing of nurse education.

  17. Proofs from THE BOOK

    CERN Document Server

    Aigner, Martin

    2014-01-01

    This revised and enlarged fifth edition features four new chapters, which contain highly original and delightful proofs for classics such as the spectral theorem from linear algebra, some more recent jewels like the non-existence of the Borromean rings and other surprises. From the Reviews "... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. ... Aigner and Ziegler... write: "... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999 "... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures, and beautiful drawings ... It is a pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary b...

  18. Towards a climate-proof Netherlands. Summary routeplanner

    International Nuclear Information System (INIS)

    Van Drunen, M.

    2007-03-01

    There is no doubt about it: the climate is changing and the effects are now tangible and predictable. Scientific research has shown that even if we make significant reductions in greenhouse gas emissions (mitigation), climate change cannot be prevented. Which is why we have to adapt to make the effects of the changing climate acceptable: the Netherlands must be made climate-proof. To stimulate climate-proofing, four ministries and the Climate changes Spatial Planning (CcSP), Living with Water (LmW) and Habiforum research programmes have established a National Programme on Adapting Spatial Planning to Climate Change (ARK). The core research questions examined by ARK are: What is the nature and scale of the observable and expected impacts of climate change for various themes and economic sectors?; What spatial issues do they raise?; How can we tackle these spatial issues?; What dilemmas (technical, administrative, economic, social) will we face when trying to resolve these issues? The Routeplanner is the scientific arm of ARK: the three research programmes, assisted by other research institutes, supply ARK with scientific information and insights on climate-proofing the spatial development of the Netherlands. This brochure summarises the outcome of phase 2 of Routeplanner, which took place in 2006. It consisted of a Climate-proofing Baseline Assessment, a review (Quickscan) of knowledge gaps, formulation of adaptation strategies, a qualitative assessment of adaptation options, a quantitative assessment of adaptation options and identification of case studies. This brochure answers the following questions, as far as current scientific understanding permits: How will climate change affect the Netherlands?; What are the consequences of climate change for the Netherlands?; What must be done?; When must we act?; What examples are there of climate-proof strategies?; What next? The main conclusion of the Routeplanner is that climate change can cause considerable damage in

  19. Evaluation of predator-proof fenced biodiversity projects

    OpenAIRE

    Doelle, Sebastian

    2012-01-01

    There has been recent debate over the role of predator-proof fences in the management of New Zealand’s biodiversity. The debate has arisen due to concern that investments in fenced sanctuaries are less productive than are alternative ways to manage biodiversity. Predator-proof fences are costly and budget constraints limit the area of habitat that can be fenced. The area of habitat enclosed within fences, and number of individuals of species supported, determines project’s ability to contribu...

  20. Dynamic PROOF clusters with PoD: architecture and user experience

    Science.gov (United States)

    Manafov, Anar

    2011-12-01

    PROOF on Demand (PoD) is a tool-set, which sets up a PROOF cluster on any resource management system. PoD is a user oriented product with an easy to use GUI and a command-line interface. It is fully automated. No administrative privileges or special knowledge is required to use it. PoD utilizes a plug-in system, to use different job submission front-ends. The current PoD distribution is shipped with LSF, Torque (PBS), Grid Engine, Condor, gLite, and SSH plug-ins. The product is to be extended. We therefore plan to implement a plug-in for AliEn Grid as well. Recently developed algorithms made it possible to efficiently maintain two types of connections: packet-forwarding and native PROOF connections. This helps to properly handle most kinds of workers, with and without firewalls. PoD maintains the PROOF environment automatically and, for example, prevents resource misusage in case when workers idle for too long. As PoD matures as a product and provides more plug-ins, it's used as a standard for setting up dynamic PROOF clusters in many different institutions. The GSI Analysis Facility (GSIAF) is in production since 2007. The static PROOF cluster has been phased out end of 2009. GSIAF is now completely based on PoD. Users create private dynamic PROOF clusters on the general purpose batch farm. This provides an easier resource sharing between interactive local batch and Grid usage. The main user communities are FAIR and ALICE.

  1. Completing the proof of “Generic quantum nonlocality”

    Energy Technology Data Exchange (ETDEWEB)

    Gachechiladze, Mariami; Gühne, Otfried, E-mail: otfried.guehne@uni-siegen.de

    2017-04-18

    In a paper by Popescu and Rohrlich a proof has been presented showing that any pure entangled multiparticle quantum state violates some Bell inequality. We point out a gap in this proof, but we also give a construction to close this gap. It turns out that with some extra effort all the results from the aforementioned publication can be proven. Our construction shows how two-particle entanglement can be generated via performing local projections on a multiparticle state. - Highlights: • A proof is completed, showing that any pure entangled multiparticle quantum state violates some Bell inequality. • The results demonstrate how an multi-qubit state can be transformed by local measurements to a two-qubit entangled state. • The extension to higher dimensions is discussed.

  2. Completing the proof of “Generic quantum nonlocality”

    International Nuclear Information System (INIS)

    Gachechiladze, Mariami; Gühne, Otfried

    2017-01-01

    In a paper by Popescu and Rohrlich a proof has been presented showing that any pure entangled multiparticle quantum state violates some Bell inequality. We point out a gap in this proof, but we also give a construction to close this gap. It turns out that with some extra effort all the results from the aforementioned publication can be proven. Our construction shows how two-particle entanglement can be generated via performing local projections on a multiparticle state. - Highlights: • A proof is completed, showing that any pure entangled multiparticle quantum state violates some Bell inequality. • The results demonstrate how an multi-qubit state can be transformed by local measurements to a two-qubit entangled state. • The extension to higher dimensions is discussed.

  3. Towards Verification of Constituent Systems through Automated Proof

    DEFF Research Database (Denmark)

    Couto, Luis Diogo Monteiro Duarte; Foster, Simon; Payne, R

    2014-01-01

    This paper explores verification of constituent systems within the context of the Symphony tool platform for Systems of Systems (SoS). Our SoS modelling language, CML, supports various contractual specification elements, such as state invariants and operation preconditions, which can be used...... to specify contractual obligations on the constituent systems of a SoS. To support verification of these obligations we have developed a proof obligation generator and theorem prover plugin for Symphony. The latter uses the Isabelle/HOL theorem prover to automatically discharge the proof obligations arising...... from a CML model. Our hope is that the resulting proofs can then be used to formally verify the conformance of each constituent system, which is turn would result in a dependable SoS....

  4. Preservice Mathematics Teachers' Metaphorical Perceptions towards Proof and Proving

    Science.gov (United States)

    Ersen, Zeynep Bahar

    2016-01-01

    Since mathematical proof and proving are in the center of mathematics; preservice mathematics teachers' perceptions against these concepts have a great importance. Therefore, the study aimed to determine preservice mathematics teachers' perceptions towards proof and proving through metaphors. The participants consisted of 192 preservice…

  5. A short proof of increased parabolic regularity

    Directory of Open Access Journals (Sweden)

    Stephen Pankavich

    2015-08-01

    Full Text Available We present a short proof of the increased regularity obtained by solutions to uniformly parabolic partial differential equations. Though this setting is fairly introductory, our new method of proof, which uses a priori estimates and an inductive method, can be extended to prove analogous results for problems with time-dependent coefficients, advection-diffusion or reaction diffusion equations, and nonlinear PDEs even when other tools, such as semigroup methods or the use of explicit fundamental solutions, are unavailable.

  6. Bribe-proof Rules in the Division Problem

    OpenAIRE

    Jordi MassóAuthor-Email:; Alejandro Neme

    2003-01-01

    The division problem consists of allocating an amount of a perfectly divisible good among a group of n agents with single-peaked preferences. A rule maps preference profiles into n shares of the amount to be allocated. A rule is bribe-proof if no group of agents can compensate another agent to misrepresent his preference and, after an appropriate redistribution of their shares, each obtain a strictly preferred share. We characterize all bribe-proof rules as the class of efficient, strategy-pr...

  7. Palliative pharmacological sedation for terminally ill adults.

    Science.gov (United States)

    Beller, Elaine M; van Driel, Mieke L; McGregor, Leanne; Truong, Shani; Mitchell, Geoffrey

    2015-01-02

    Terminally ill people experience a variety of symptoms in the last hours and days of life, including delirium, agitation, anxiety, terminal restlessness, dyspnoea, pain, vomiting, and psychological and physical distress. In the terminal phase of life, these symptoms may become refractory, and unable to be controlled by supportive and palliative therapies specifically targeted to these symptoms. Palliative sedation therapy is one potential solution to providing relief from these refractory symptoms. Sedation in terminally ill people is intended to provide relief from refractory symptoms that are not controlled by other methods. Sedative drugs such as benzodiazepines are titrated to achieve the desired level of sedation; the level of sedation can be easily maintained and the effect is reversible. To assess the evidence for the benefit of palliative pharmacological sedation on quality of life, survival, and specific refractory symptoms in terminally ill adults during their last few days of life. We searched the Cochrane Central Register of Controlled Trials (CENTRAL; 2014, Issue 11), MEDLINE (1946 to November 2014), and EMBASE (1974 to December 2014), using search terms representing the sedative drug names and classes, disease stage, and study designs. We included randomised controlled trials (RCTs), quasi-RCTs, non-RCTs, and observational studies (e.g. before-and-after, interrupted-time-series) with quantitative outcomes. We excluded studies with only qualitative outcomes or that had no comparison (i.e. no control group or no within-group comparison) (e.g. single arm case series). Two review authors independently screened titles and abstracts of citations, and full text of potentially eligible studies. Two review authors independently carried out data extraction using standard data extraction forms. A third review author acted as arbiter for both stages. We carried out no meta-analyses due to insufficient data for pooling on any outcome; therefore, we reported

  8. 29 CFR 1919.71 - Unit proof test and examination of cranes.

    Science.gov (United States)

    2010-07-01

    ... 29 Labor 7 2010-07-01 2010-07-01 false Unit proof test and examination of cranes. 1919.71 Section... § 1919.71 Unit proof test and examination of cranes. (a) Unit proof tests of cranes shall be carried out at the following times: (1) In the cases of new cranes, before initial use and every 4 years...

  9. Burden of Proof in Bioethics.

    Science.gov (United States)

    Koplin, Julian J; Selgelid, Michael J

    2015-11-01

    A common strategy in bioethics is to posit a prima facie case in favour of one policy, and to then claim that the burden of proof (that this policy should be rejected) falls on those with opposing views. If the burden of proof is not met, it is claimed, then the policy in question should be accepted. This article illustrates, and critically evaluates, examples of this strategy in debates about the sale of organs by living donors, human enhancement, and the precautionary principle. We highlight general problems with this style of argument, and particular problems with its use in specific cases. We conclude that the burden ultimately falls on decision-makers (i.e. policy-makers) to choose the policy supported by the best reasons. © 2015 John Wiley & Sons Ltd.

  10. The moisture proof connection of signal cables on test rig instrumentation

    Energy Technology Data Exchange (ETDEWEB)

    Joung, Chang Young; Ahn, Sung Ho; Hong, Jin Tae; Jeong, Hwang Young [Korea Atomic Energy Research Institute, Daejeon (Korea, Republic of)

    2012-10-15

    The rod inner pressure, centerline temperature, coolant temperature, and neutron flux resulting from the irradiation properties of nuclear fuel are an important factor for evaluating nuclear fuel properties in pile. In addition instrumentation and measurement techniques for nuclear fuel are necessary to measure the exact data. Special sensors such as a TC (thermocouple), LVDT (linear variable differential transformer) and SPND (self-powered neutron detector) are instrumented in and out of the fuel rod to measure the various irradiation characteristics of the nuclear fuel. These sensors are made up of the sensor itself and a signal cable. In the instrumentation, an MI (Mineral Insulated) cable used as the signal cable has such properties as high electrical insulation, heat resistance, and mechanical strength. However, it is difficult to handle and treat with care owing to the extremely hard composition, which is made up of weak signal wires and alumina powder in a stainless tube. The sealing of the end tip of the MI cable and extension cable is very important in terms of the insulation resistance to seal the insulator inside the MI cable tube from moisture. To maintain the insulation of sensors and signal cables, the insulation resistance must be checked in accordance with each process throughout the instrumentation and fabrication period. To safely mount the signal cables drawn from a fuel test rig on the terminal block of a junction panel, the MI and extension cables should be easy to connect. Therefore, it is necessary to develop instrumentation technologies of a moisture proof connection process for a fuel test rig. This paper will provide an overview of the work done with moisture proof connection procedures to connect the MI and extension cables to extend the MI cables jointed with the sensor.

  11. The direct Flow parametric Proof of Gauss' Divergence Theorem revisited

    OpenAIRE

    Markvorsen, Steen

    2006-01-01

    The standard proof of the divergence theorem in undergraduate calculus courses covers the theorem for static domains between two graph surfaces. We show that within first year undergraduate curriculum, the flow proof of the dynamic version of the divergence theorem - which is usually considered only much later in more advanced math courses - is comprehensible with only a little extension of the first year curriculum. Moreover, it is more intuitive than the static proof. We support this intuit...

  12. A compositional proof system for the modal μ-calculus

    DEFF Research Database (Denmark)

    Andersen, Henrik Reif; Stirling, C.; Winskel,, G.

    1994-01-01

    We present a proof system for determining satisfaction between processes in a fairly general process algebra and assertions of the modal μ-calculus. The proof system is compositional in the structure of processes. It extends earlier work on compositional reasoning within the modal μ-calculus and ...

  13. Nonglobal proof of the thin--sandwich conjecture

    International Nuclear Information System (INIS)

    Pereira, C.M.

    1981-01-01

    A gravitational thin--sandwich conjecture was first proposed by Wheeler and coworkers during the period 1962--4. The present paper contains a proof of the nonglobal form of this gravitational thin--sandwich conjecture. The proof (a) applies for arbitrary choices of the spatial metric and its time derivative; and (b) demonstrates the existence on a spacelike three-surface of solutions which satisfy conditions of continuity known to be sufficient to obtain existence and uniqueness of solutions to Einstein's equations off the three-surface and existence and uniqueness of geodesics. Riquier's existence theorem plays an important role in the proof. The relationship of the present results to previous work is discussed. Some global questions associated with the thin--sandwich conjecture are clarified. Some aspects of the relationship of the thin--sandwich conjecture to the problem of the quantization of the gravitational field are noted. Both the vacuum case and the case of a nonviscous fluid are included. The discussion allows for an arbitrary equation of state p = p

  14. Philosophy of mathematics an introduction to a world of proofs and pictures

    CERN Document Server

    Brown, James Robert

    1999-01-01

    This text discusses the great philosophers and the importance of mathematics to their thought. It includes topics such as: the mathematical image; platonism; picture-proofs; applied mathematics; Hilbert and Godel; knots and nations; definitions; picture-proofs and Wittgenstein; and computation, proof and conjecture.

  15. On the Mechanization of the Proof of Hessenberg's Theorem in Coherent Logic

    NARCIS (Netherlands)

    Bezem, M.; Hendriks, R.D.A.

    2008-01-01

    We propose to combine interactive proof construction with proof automation for a fragment of first-order logic called Coherent Logic (CL). CL allows enough existential quantification to make Skolemization unnecessary. Moreover, CL has a constructive proof system based on forward reasoning, which is

  16. Values and Norms of Proof for Mathematicians and Students

    Science.gov (United States)

    Dawkins, Paul Christian; Weber, Keith

    2017-01-01

    In this theoretical paper, we present a framework for conceptualizing proof in terms of mathematical values, as well as the norms that uphold those values. In particular, proofs adhere to the values of establishing a priori truth, employing decontextualized reasoning, increasing mathematical understanding, and maintaining consistent standards for…

  17. Security proof for round robin differential phase shift QKD

    NARCIS (Netherlands)

    Leermakers, D.; Skoric, B.

    2017-01-01

    We give the first information-theoretic security proof of the `Round Robin Differential Phase Shift' Quantum Key Distribution scheme. Our proof consists of the following steps. We construct an EPR variant of the scheme. We identify Eve's optimal way of coupling an ancilla to an EPR qudit pair under

  18. 28 CFR 79.25 - Proof of onset of leukemia at least two years after first exposure, and proof of onset of a...

    Science.gov (United States)

    2010-07-01

    ... 28 Judicial Administration 2 2010-07-01 2010-07-01 false Proof of onset of leukemia at least two... leukemia at least two years after first exposure, and proof of onset of a specified compensable disease more than five years after first exposure. The date of onset will be the date of diagnosis as indicated...

  19. Proofs that Develop Insight

    Science.gov (United States)

    Weber, Keith

    2010-01-01

    Many mathematics educators have noted that mathematicians do not only read proofs to gain conviction but also to obtain insight. The goal of this article is to discuss what this insight is from mathematicians' perspective. Based on interviews with nine research-active mathematicians, two sources of insight are discussed. The first is reading a…

  20. Proof of Principle for Electronic Collimation of a Gamma Ray Detector

    Science.gov (United States)

    2016-01-01

    Approved for public release; distribution is unlimited. ERDC TN-EQT-16-1 January 2016 Proof of Principle for Electronic Collimation of a Gamma...in achieving the proof of principle of the technique, which is intended to be further developed. A gamma ray detector system utilizing electronic...waveforms from longitudinal (along the axis) waveforms yield proof of principle . TECHNOLOGY DESCRIPTION: The component detector technologies were

  1. A short list color proof of Grotzsch's theorem

    DEFF Research Database (Denmark)

    Thomassen, Carsten

    2000-01-01

    We give a short proof of the result that every planar graph of girth $5$is $3$-choosable and hence also of Gr\\"{o}tzsch's theorem saying that everyplanar triangle-free graph is $3$-colorable.......We give a short proof of the result that every planar graph of girth $5$is $3$-choosable and hence also of Gr\\"{o}tzsch's theorem saying that everyplanar triangle-free graph is $3$-colorable....

  2. A Calculus of Circular Proofs and its Categorical Semantics

    DEFF Research Database (Denmark)

    Santocanale, Luigi

    2002-01-01

    We present a calculus of “circular proofs”: the graph underlying a proof is not a finite tree but instead it is allowed to contain a certain amount of cycles.The main challenge in developing a theory for the calculus is to define the semantics of proofs, since the usual method by induction...

  3. Multiparty Session Types as Coherence Proofs

    DEFF Research Database (Denmark)

    Carbone, Marco; Montesi, Fabrizio; Schürmann, Carsten

    2015-01-01

    We propose a Curry-Howard correspondence between a language for programming multiparty sessions and a generalisation of Classical Linear Logic (CLL). In this framework, propositions correspond to the local behaviour of a participant in a multiparty session type, proofs to processes, and proof...... normalisation to executing communications. Our key contribution is generalising duality, from CLL, to a new notion of n-ary compatibility, called coherence. Building on coherence as a principle of compositionality, we generalise the cut rule of CLL to a new rule for composing many processes communicating...... in a multiparty session. We prove the soundness of our model by showing the admissibility of our new rule, which entails deadlock-freedom via our correspondence....

  4. Strategy-proof social choice

    OpenAIRE

    Barberà, Salvador, 1946-

    2010-01-01

    This paper surveys the literature on strategy-proofness from a historical perspective. While I discuss the connections with other works on incentives in mechanism design, the main emphasis is on social choice models. This article has been prepared for the Handbook of Social Choice and Welfare, Volume 2, Edited by K. Arrow, A. Sen and K. Suzumura

  5. Proofs with monotone cuts

    Czech Academy of Sciences Publication Activity Database

    Jeřábek, Emil

    2012-01-01

    Roč. 58, č. 3 (2012), s. 177-187 ISSN 0942-5616 R&D Projects: GA AV ČR IAA100190902; GA MŠk(CZ) 1M0545 Institutional support: RVO:67985840 Keywords : proof complexity * monotone sequent calculus Subject RIV: BA - General Mathematics Impact factor: 0.376, year: 2012 http://onlinelibrary.wiley.com/doi/10.1002/malq.201020071/full

  6. Encoding Featherweight Java with Assignment and Immutability using The Coq Proof Assistant

    DEFF Research Database (Denmark)

    Mackay, Julian; Mehnert, Hannes; Potanin, Alex

    2012-01-01

    We develop a mechanized proof of Featherweight Java with Assignment and Immutability in the Coq proof assistant. This is a step towards more machine-checked proofs of a non-trivial type system. We used object immutability close to that of IGJ [9] . We describe the challenges of the mech- anisation...

  7. On mathematicians' different standards when evaluating elementary proofs.

    Science.gov (United States)

    Inglis, Matthew; Mejia-Ramos, Juan Pablo; Weber, Keith; Alcock, Lara

    2013-04-01

    In this article, we report a study in which 109 research-active mathematicians were asked to judge the validity of a purported proof in undergraduate calculus. Significant results from our study were as follows: (a) there was substantial disagreement among mathematicians regarding whether the argument was a valid proof, (b) applied mathematicians were more likely than pure mathematicians to judge the argument valid, (c) participants who judged the argument invalid were more confident in their judgments than those who judged it valid, and (d) participants who judged the argument valid usually did not change their judgment when presented with a reason raised by other mathematicians for why the proof should be judged invalid. These findings suggest that, contrary to some claims in the literature, there is not a single standard of validity among contemporary mathematicians. Copyright © 2013 Cognitive Science Society, Inc.

  8. US NDC Modernization: Service Oriented Architecture Proof of Concept

    Energy Technology Data Exchange (ETDEWEB)

    Hamlet, Benjamin R. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Encarnacao, Andre Villanova [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Jackson, Keilan R. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Hays, Ian A. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Barron, Nathan E. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Simon, Luke B. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Harris, James M. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Young, Christopher J. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

    2014-12-01

    This report is a progress update on the US NDC Modernization Service Oriented Architecture (SOA) study describing results from a proof of concept project completed from May through September 2013. Goals for this proof of concept are 1) gain experience configuring, using, and running an Enterprise Service Bus (ESB), 2) understand the implications of wrapping existing software in standardized interfaces for use as web services, and 3) gather performance metrics for a notional seismic event monitoring pipeline implemented using services with various data access and communication patterns. The proof of concept is a follow on to a previous SOA performance study. Work was performed by four undergraduate summer student interns under the guidance of Sandia staff.

  9. Simplified automatic on-line document searching

    International Nuclear Information System (INIS)

    Ebinuma, Yukio

    1983-01-01

    The author proposed searching method for users who need not-comprehensive retrieval. That is to provide flexible number of related documents for the users automatically. A group of technical terms are used as search terms to express an inquiry. Logical sums of the terms in the ascending order of frequency of the usage are prepared sequentially and automatically, and then the search formulas, qsub(m) and qsub(m-1) which meet certain threshold values are selected automatically also. Users justify precision of the search output up to 20 items retrieved by the formula qsub(m). If a user wishes more than 30% of recall ratio, the serach result should be output by qsub(m), and if he wishes less than 30% of it, it should be output by qsub(m-1). The search by this method using one year volume of INIS Database (76,600 items) and five inquiries resulted in 32% of recall ratio and 36% of precision ratio on the average in the case of qsub(m). The connecting time of a terminal was within 15 minutes per an inquiry. It showed more efficiency than that of an inexperienced searcher. The method can be applied to on-line searching system for database in which natural language only or natural language and controlled vocabulary are used. (author)

  10. Tree Resolution Proofs of the Weak Pigeon-Hole Principle

    DEFF Research Database (Denmark)

    Dantchev, Stefan Stajanov; Riis, Søren

    2001-01-01

    We prove that any optimal tree resolution proof of PHPn m is of size 2&thetas;(n log n), independently from m, even if it is infinity. So far, only a 2Ω(n) lower bound has been known in the general case. We also show that any, not necessarily optimal, regular tree resolution proof PHPn m is bound...

  11. A Forward-secure Grouping-proof Protocol for Multiple RFID Tags

    Directory of Open Access Journals (Sweden)

    Liu Ya-li

    2012-09-01

    Full Text Available Designing secure and robust grouping-proof protocols based on RFID characteristics becomes a hotspot in the research of security in Internet of Things (IOT. The proposed grouping-proof protocols recently have security and/or privacy omission and these schemes afford order-dependence by relaying message among tags through an RFID reader. In consequence, aiming at enhancing the robustness, improving scalability, reducing the computation costs on resource-constrained devices, and meanwhile combing Computational Intelligence (CI with Secure Multi-party Communication (SMC, a Forward-Secure Grouping-Proof Protocol (FSGP for multiple RFID tags based on Shamir's (, secret sharing is proposed. In comparison with the previous grouping-proof protocols, FSGP has the characteristics of forward-security and order-independence addressing the scalability issue by avoiding relaying message. Our protocol provides security enhancement, performance improvement, and meanwhile controls the computation cost, which equilibrates both security and low cost requirements for RFID tags.

  12. Proof testing of CANDU concrete containment structures

    International Nuclear Information System (INIS)

    Pandey, M.D.

    1996-05-01

    Prior to commissioning of a CANDU reactor, a proof pressure test is required to demonstrate the structural integrity of the containment envelope. The test pressure specified by AECB Regulatory Document R-7 (1991) was selected without a rigorous consideration of uncertainties associated with estimates of accident pressure and conatinment resistance. This study was undertaken to develop a reliability-based philosophy for defining proof testing requirements that are consistent with the current limit states design code for concrete containments (CSA N287.3).It was shown that the upodated probability of failure after a successful test is always less than the original estimate

  13. Structuring Interactive Correctness Proofs by Formalizing Coding Idioms

    OpenAIRE

    Gast, Holger

    2012-01-01

    This paper examines a novel strategy for developing correctness proofs in interactive software verification for C programs. Rather than proceeding backwards from the generated verification conditions, we start by developing a library of the employed data structures and related coding idioms. The application of that library then leads to correctness proofs that reflect informal arguments about the idioms. We apply this strategy to the low-level memory allocator of the L4 microkernel, a case st...

  14. 33 CFR 136.215 - Proof.

    Science.gov (United States)

    2010-07-01

    ... FINANCIAL RESPONSIBILITY AND COMPENSATION OIL SPILL LIABILITY TRUST FUND; CLAIMS PROCEDURES; DESIGNATION OF SOURCE; AND ADVERTISEMENT Procedures for Particular Claims § 136.215 Proof. (a) In addition to the... each claim for economic loss resulting from destruction of real or personal property, the claimant must...

  15. IFA proof of principle experiments

    International Nuclear Information System (INIS)

    Olson, C.L.

    1979-01-01

    IFA proof of principle experiments is discussed. Controlled beam front motion experiments are reported, which demonstrate that accurate IFA programming of the motion of the potential well at the head of an IREB has been achieved. The status of IFA ion experiments is also discussed

  16. Secondary Teachers' Knowledge of Elementary Number Theory Proofs: The Case of General-Cover Proofs

    Science.gov (United States)

    Tabach, Michal; Levenson, Esther; Barkai, Ruthi; Tsamir, Pessia; Tirosh, Dina; Dreyfus, Tommy

    2011-01-01

    In light of recent reform recommendations, teachers are expected to turn proofs and proving into an ongoing component of their classroom practice. Two questions emerging from this requirement are: Is the mathematical knowledge of high school teachers sufficient to prove various kinds of statements? Does teachers' knowledge allow them to determine…

  17. New zero-input overflow stability proofs based on Lyapunov theory

    NARCIS (Netherlands)

    Werter, M.J.; Ritzerfeld, J.H.F.

    1989-01-01

    The authors demonstrate some proofs of zero-input overflow-oscillation suppression in recursive digital filters. The proofs are based on the second method of Lyapunov. For second-order digital filters with complex conjugated poles, the state describes a trajectory in the phase plane, spiraling

  18. Search asymmetry: a diagnostic for preattentive processing of separable features.

    Science.gov (United States)

    Treisman, A; Souther, J

    1985-09-01

    The search rate for a target among distractors may vary dramatically depending on which stimulus plays the role of target and which that of distractors. For example, the time required to find a circle distinguished by an intersecting line is independent of the number of regular circles in the display, whereas the time to find a regular circle among circles with lines increases linearly with the number of distractors. The pattern of performance suggests parallel processing when the target has a unique distinguishing feature and serial self-terminating search when the target is distinguished only by the absence of a feature that is present in all the distractors. The results are consistent with feature-integration theory (Treisman & Gelade, 1980), which predicts that a single feature should be detected by the mere presence of activity in the relevant feature map, whereas tasks that require subjects to locate multiple instances of a feature demand focused attention. Search asymmetries may therefore offer a new diagnostic to identify the primitive features of early vision. Several candidate features are examined in this article: Colors, line ends or terminators, and closure (in the sense of a partly or wholly enclosed area) appear to be functional features; connectedness, intactness (absence of an intersecting line), and acute angles do not.

  19. A correctness proof of the bakery protocol in $ mu $CRL

    NARCIS (Netherlands)

    J.F. Groote (Jan Friso); H.P. Korver

    1994-01-01

    textabstractA specification of a bakery protocol is given in $mu$CRL. We provide a simple correctness criterion for the protocol. Then the protocol is proven correct using a proof system that has been developed for $mu$CRL. The proof primarily consists of algebraic manipulations based on

  20. Peac – A set of tools to quickly enable Proof on a cluster

    International Nuclear Information System (INIS)

    Ganis, G; Vala, M

    2012-01-01

    With advent of the analysis phase of Lhcdata-processing, interest in Proof technology has considerably increased. While setting up a simple Proof cluster for basic usage is reasonably straightforward, exploiting the several new functionalities added in recent times may be complicated. Peac, standing for Proof Enabled Analysis Cluster, is a set of tools aiming to facilitate the setup and management of a Proof cluster. Peac is based on the experience made by setting up Proof for the Alice analysis facilities. It allows to easily build and configure Root and the additional software needed on the cluster, and may serve as distributor of binaries via Xrootd. Peac uses Proof-On-Demand (PoD) for resource management (start, stop or daemons). Finally, Peac sets-up and configures dataset management (using the Afdsmgrd daemon), as well as cluster monitoring (machine status and Proof query summaries) using MonAlisa. In this respect, a MonAlisa page has been dedicated to Peac users, so that a cluster managed by Peac can be automatically monitored. In this paper we present and describe the status and main components of Peac and show details about its usage.

  1. Proofs of the Kochen–Specker theorem based on a system of three qubits

    International Nuclear Information System (INIS)

    Waegell, Mordecai; Aravind, P K

    2012-01-01

    A number of new proofs of the Kochen–Specker theorem are given based on the observables of the three-qubit Pauli group. Each proof is presented in the form of a diagram from which it is obvious by inspection. Each of our observable-based proofs leads to a system of projectors and bases that generally yields a large number of ‘parity proofs’ of the Kochen–Specker theorem. Some examples of such proofs are given and some of their applications are discussed. (paper)

  2. Impact of proof test interval and coverage on probability of failure of safety instrumented function

    International Nuclear Information System (INIS)

    Jin, Jianghong; Pang, Lei; Hu, Bin; Wang, Xiaodong

    2016-01-01

    Highlights: • Introduction of proof test coverage makes the calculation of the probability of failure for SIF more accurate. • The probability of failure undetected by proof test is independently defined as P TIF and calculated. • P TIF is quantified using reliability block diagram and simple formula of PFD avg . • Improving proof test coverage and adopting reasonable test period can reduce the probability of failure for SIF. - Abstract: Imperfection of proof test can result in the safety function failure of safety instrumented system (SIS) at any time in its life period. IEC61508 and other references ignored or only elementarily analyzed the imperfection of proof test. In order to further study the impact of the imperfection of proof test on the probability of failure for safety instrumented function (SIF), the necessity of proof test and influence of its imperfection on system performance was first analyzed theoretically. The probability of failure for safety instrumented function resulted from the imperfection of proof test was defined as probability of test independent failures (P TIF ), and P TIF was separately calculated by introducing proof test coverage and adopting reliability block diagram, with reference to the simplified calculation formula of average probability of failure on demand (PFD avg ). Research results show that: the shorter proof test period and the higher proof test coverage indicate the smaller probability of failure for safety instrumented function. The probability of failure for safety instrumented function which is calculated by introducing proof test coverage will be more accurate.

  3. High school mathematics teachers' perspectives on the purposes of mathematical proof in school mathematics

    Science.gov (United States)

    Dickerson, David S.; Doerr, Helen M.

    2014-12-01

    Proof serves many purposes in mathematics. In this qualitative study of 17 high school mathematics teachers, we found that these teachers perceived that two of the most important purposes for proof in school mathematics were (a) to enhance students' mathematical understanding and (b) to develop generalized thinking skills that were transferable to other fields of endeavor. We found teachers were divided on the characteristics (or features) of proofs that would serve these purposes. Teachers with less experience tended to believe that proofs in the high school should adhere to strict standards of language and reasoning while teachers with more experience tended to believe that proofs based on concrete or visual features were well suited for high school mathematics. This study has implications for teacher preparation because it appears that there is a wide variation in how teachers think about proof. It seems likely that students would experience proof very differently merely because they were seated in different classrooms.

  4. A Correctness Proof of the Bakery Protocol in μCRL

    NARCIS (Netherlands)

    Groote, J.F.; Korver, H.

    1992-01-01

    A specification of the bakery protocol is given in μCRL. We provide a simple correctness criterion for the protocol. Then the protocol is proven correct using a proof system that has been developed for μCRL. The proof primarily consists of algebraic manipulations based on specifications of

  5. 30 CFR 18.62 - Tests to determine explosion-proof characteristics.

    Science.gov (United States)

    2010-07-01

    ... characteristics. 18.62 Section 18.62 Mineral Resources MINE SAFETY AND HEALTH ADMINISTRATION, DEPARTMENT OF LABOR... Inspections and Tests § 18.62 Tests to determine explosion-proof characteristics. (a) In testing for explosion-proof characteristics of an enclosure, it shall be filled and surrounded with various explosive mixtures...

  6. A Proof-checked Verification of a Real-Time Communication Protocol

    NARCIS (Netherlands)

    Polak, I.

    We present an analysis of a protocol developed by Philips to connect several components of an audio-system. The verification of the protocol is carried out using the timed I/O-automata model of Lynch and Vaandrager. The verification has been partially proof-checked with the interactive proof

  7. Computer-Assisted Discovery and Proof

    Energy Technology Data Exchange (ETDEWEB)

    Bailey, David H.; Borwein, Jonathan M.

    2007-12-10

    With the advent of powerful, widely-available mathematical software, combined with ever-faster computer hardware, we are approaching a day when both the discovery and proof of mathematical facts can be done in a computer-assisted manner. his article presents several specific examples of this new paradigm in action.

  8. A review on how meditation could be used to comfort the terminally ill.

    Science.gov (United States)

    Ball, Michael Stephen; Vernon, Bryan

    2015-10-01

    Our objective was to review how meditation could comfort the terminally ill. Our methodology was a literature search, which included books, journals, papers in collections, and online databases. The main search engines employed were Google Scholar and the Durham University Library. The main databases consulted were the Christian Meditation Centre, Project Meditation, and Stress-Related Facts and Well-Being at Monash. We were specifically interested in data acquired from clinical and nonclinical trials. The arguments needed to be based on qualitative and quantitative scientific data. Papers were published between 1985 and 2014. We then subdivided the review into three subcategories: physical, emotional, and self-awareness. When reviewing each category, we put our results into tabular form. In each table, we noted the percentage of terminally ill patients (TIPs) and non-terminally ill patients (NTIPs), and whether meditation had comforted them. Our review demonstrated that there are many areas that have yet to be researched. First, very little work has been done on how meditation affects the physical health of TIPs, including such variables as blood pressure, chronic pain, and sleeping patterns. However, no research has been done on heart disease, hypertension, depression, among others. Second, virtually no research has been conducted on how meditation affects the mental health of TIPs. Notably neglected areas include anxiety, compliance, depression, and stress. Third, no research has been done on whether meditation increases self-awareness in TIPs. In each of these cases, most NTIPs reacted positively; however, no research has been done on why TIPs reacted differently. Our results demonstrate the need for further research on how meditation affects terminally ill patients. In turn, this would enrich the debate on whether meditation should be prescribed for the dying.

  9. AfterMath: the work of proof in the age of human-machine collaboration.

    Science.gov (United States)

    Dick, Stephanie

    2011-09-01

    During the 1970s and 1980s, a team of Automated Theorem Proving researchers at the Argonne National Laboratory near Chicago developed the Automated Reasoning Assistant, or AURA, to assist human users in the search for mathematical proofs. The resulting hybrid humans+AURA system developed the capacity to make novel contributions to pure mathematics by very untraditional means. This essay traces how these unconventional contributions were made and made possible through negotiations between the humans and the AURA at Argonne and the transformation in mathematical intuition they produced. At play in these negotiations were experimental practices, nonhumans, and nonmathematical modes of knowing. This story invites an earnest engagement between historians of mathematics and scholars in the history of science and science studies interested in experimental practice, material culture, and the roles of nonhumans in knowledge making.

  10. Long Terminal Repeat CRISPR-CAR-Coupled "Universal" T Cells Mediate Potent Anti-leukemic Effects.

    Science.gov (United States)

    Georgiadis, Christos; Preece, Roland; Nickolay, Lauren; Etuk, Aniekan; Petrova, Anastasia; Ladon, Dariusz; Danyi, Alexandra; Humphryes-Kirilov, Neil; Ajetunmobi, Ayokunmi; Kim, Daesik; Kim, Jin-Soo; Qasim, Waseem

    2018-03-06

    Gene editing can be used to overcome allo-recognition, which otherwise limits allogeneic T cell therapies. Initial proof-of-concept applications have included generation of such "universal" T cells expressing chimeric antigen receptors (CARs) against CD19 target antigens combined with transient expression of DNA-targeting nucleases to disrupt the T cell receptor alpha constant chain (TRAC). Although relatively efficient, transgene expression and editing effects were unlinked, yields variable, and resulting T cell populations heterogeneous, complicating dosing strategies. We describe a self-inactivating lentiviral "terminal" vector platform coupling CAR expression with CRISPR/Cas9 effects through incorporation of an sgRNA element into the ΔU3 3' long terminal repeat (LTR). Following reverse transcription and duplication of the hybrid ΔU3-sgRNA, delivery of Cas9 mRNA resulted in targeted TRAC locus cleavage and allowed the enrichment of highly homogeneous (>96%) CAR + (>99%) TCR - populations by automated magnetic separation. Molecular analyses, including NGS, WGS, and Digenome-seq, verified on-target specificity with no evidence of predicted off-target events. Robust anti-leukemic effects were demonstrated in humanized immunodeficient mice and were sustained longer than by conventional CAR + TCR + T cells. Terminal-TRAC (TT) CAR T cells offer the possibility of a pre-manufactured, non-HLA-matched CAR cell therapy and will be evaluated in phase 1 trials against B cell malignancies shortly. Copyright © 2018 The American Society of Gene and Cell Therapy. Published by Elsevier Inc. All rights reserved.

  11. Proof Rules for Recursive Procedures

    NARCIS (Netherlands)

    Hesselink, Wim H.

    1993-01-01

    Four proof rules for recursive procedures in a Pascal-like language are presented. The main rule deals with total correctness and is based on results of Gries and Martin. The rule is easier to apply than Martin's. It is introduced as an extension of a specification format for Pascal-procedures, with

  12. Computerized Proof Techniques for Undergraduates

    Science.gov (United States)

    Smith, Christopher J.; Tefera, Akalu; Zeleke, Aklilu

    2012-01-01

    The use of computer algebra systems such as Maple and Mathematica is becoming increasingly important and widespread in mathematics learning, teaching and research. In this article, we present computerized proof techniques of Gosper, Wilf-Zeilberger and Zeilberger that can be used for enhancing the teaching and learning of topics in discrete…

  13. Toda molecule and Tomimatsu-Sato solution-towards the complete proof of Nakamura's conjecture

    International Nuclear Information System (INIS)

    Fukuyama, Takeshi; Koizumi, Kozo

    2011-01-01

    We discuss the Nakamura's conjecture stating that the Tomimatsu-Sato black hole solution with an integer deformation parameter n is composed of the special solutions of the Toda molecule equation at the nth lattice site. From the previous work, in which the conjecture was partly analytically proved, we go further towards the final full proof by rearranging the rotation parameter. The proof is explicitly performed for the highest and lowest orders. Though the proof for all orders still remains unsolved, the prospect to the full proof becomes transparent and workable by our method. (paper)

  14. An Examination of Undefined Forms of Proof in Academic Debate.

    Science.gov (United States)

    Underwood, Willard A.

    Although texts on debate and argumentation deal with accepted forms of evidence, reasoning, and logical methods of proof, they do not cover adequately the "undefined" forms of proof. Criteria of evidence found in forensic literature are not always followed strictly by judges, in courtroom or classroom. Many debate judges allow imprecise, vague, or…

  15. Coqoon - An IDE for Interactive Proof Development in Coq

    OpenAIRE

    Faithfull, Alexander; Bengtson, Jesper; Tassi, Enrico

    2016-01-01

    User interfaces for interactive proof assistants have always lagged behind those for mainstream programming languages. Whereas integrated development environments—IDEs—have support for features like project management, version control, dependency analysis and incremental project compilation, “IDE”s for proof assistants typically only operate on files in isolation, relying on external tools to integrate those files into larger projects. In this paper we present Coqoon, an IDE for Coq developme...

  16. All-versus-nothing proofs with n qubits distributed between m parties

    International Nuclear Information System (INIS)

    Cabello, Adan; Moreno, Pilar

    2010-01-01

    All-versus-nothing (AVN) proofs show the conflict between Einstein, Podolsky, and Rosen's elements of reality and the perfect correlations of some quantum states. Given an n-qubit state distributed between m parties, we provide a method with which to decide whether this distribution allows an m-partite AVN proof specific for this state using only single-qubit measurements. We apply this method to some recently obtained n-qubit m-particle states. In addition, we provide all inequivalent AVN proofs with less than nine qubits and a minimum number of parties.

  17. All-versus-nothing proofs with n qubits distributed between m parties

    Science.gov (United States)

    Cabello, Adán; Moreno, Pilar

    2010-04-01

    All-versus-nothing (AVN) proofs show the conflict between Einstein, Podolsky, and Rosen’s elements of reality and the perfect correlations of some quantum states. Given an n-qubit state distributed between m parties, we provide a method with which to decide whether this distribution allows an m-partite AVN proof specific for this state using only single-qubit measurements. We apply this method to some recently obtained n-qubit m-particle states. In addition, we provide all inequivalent AVN proofs with less than nine qubits and a minimum number of parties.

  18. Affecting the Flow of a Proof by Creating Presence--A Case Study in Number Theory

    Science.gov (United States)

    Gabel, Mika; Dreyfus, Tommy

    2017-01-01

    The notion of flow of a proof encapsulates mathematical, didactical, and contextual aspects of proof presentation. A proof may have different flows, depending on the lecturer's choices regarding its presentation. Adopting Perelman's New Rhetoric (PNR) as a theoretical framework, we designed methods to assess aspects of the flow of a proof. We…

  19. Osteogenic cell differentiation on H-terminated and O-terminated nanocrystalline diamond films

    Directory of Open Access Journals (Sweden)

    Liskova J

    2015-01-01

    Full Text Available Jana Liskova,1 Oleg Babchenko,2 Marian Varga,2 Alexander Kromka,2 Daniel Hadraba,1 Zdenek Svindrych,1 Zuzana Burdikova,1 Lucie Bacakova1 1Institute of Physiology, Academy of Sciences of the Czech Republic, Prague, Czech Republic; 2Institute of Physics, Academy of Sciences of the Czech Republic, Prague, Czech Republic Abstract: Nanocrystalline diamond (NCD films are promising materials for bone implant coatings because of their biocompatibility, chemical resistance, and mechanical hardness. Moreover, NCD wettability can be tailored by grafting specific atoms. The NCD films used in this study were grown on silicon substrates by microwave plasma-enhanced chemical vapor deposition and grafted by hydrogen atoms (H-termination or oxygen atoms (O-termination. Human osteoblast-like Saos-2 cells were used for biological studies on H-terminated and O-terminated NCD films. The adhesion, growth, and subsequent differentiation of the osteoblasts on NCD films were examined, and the extracellular matrix production and composition were quantified. The osteoblasts that had been cultivated on the O-terminated NCD films exhibited a higher growth rate than those grown on the H-terminated NCD films. The mature collagen fibers were detected in Saos-2 cells on both the H-terminated and O-terminated NCD films; however, the quantity of total collagen in the extracellular matrix was higher on the O-terminated NCD films, as were the amounts of calcium deposition and alkaline phosphatase activity. Nevertheless, the expression of genes for osteogenic markers – type I collagen, alkaline phosphatase, and osteocalcin – was either comparable on the H-terminated and O-terminated films or even lower on the O-terminated films. In conclusion, the higher wettability of the O-terminated NCD films is promising for adhesion and growth of osteoblasts. In addition, the O-terminated surface also seems to support the deposition of extracellular matrix proteins and extracellular matrix

  20. An evaluation of the pressure proof test concept for 2024-T3 aluminium alloy sheet

    Science.gov (United States)

    Dawicke, D. S.; Poe, C. C., Jr.; Newman, J. C.; Harris, C. E.

    1991-01-01

    The concept of pressure proof testing of fuselage structures with fatigue cracks to insure structural integrity was evaluated from a fracture mechanics viewpoint. A generic analytical and experimental investigation was conducted on uniaxially loaded flat panels with crack configurations and stress levels typical of longitudinal lap splice joints in commercial transport aircraft fuselages. The results revealed that the remaining fatigue life after a proof cycle was longer than that without the proof cycle because of crack growth retardation due to increased crack closure. However, based on a crack length that is slightly less than the critical value at the maximum proof stress, the minimum assured life or proof test interval must be no more than 550 pressure cycles for a 1.33 proof factor and 1530 pressure cycles for a 1.5 proof factor to prevent in-flight failures.

  1. Special integrals of Gradshteyn and Ryzhik the proofs

    CERN Document Server

    Moll, Victor H

    2014-01-01

    A Guide to the Evaluation of IntegralsSpecial Integrals of Gradshetyn and Ryzhik: The Proofs provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. The book gives the most elementary arguments possible and uses Mathematica® to verify the formulas. Readers discover the beauty, patterns, and unexpected connections behind the formulas.Volume I collects 15 papers from Revista Scientia covering logarithmic integrals, the gamma function, trigonometric integrals, the beta function, the digamma function, the incomplete beta

  2. PROTECTORS FOR PROOFING OF IRON-CARBON-ALLOYS FROM CORROSIVE EFFECT

    Directory of Open Access Journals (Sweden)

    A. A. Pivovarchyk

    2017-01-01

    Full Text Available The article presents the results of practical testing of the developed compositions of protectors for proofing of low-carbon alloys used in the automotive industry and made from melting stocks of secondary aluminum raw materials. The results of the study of the effectiveness of the proofing of the developed protectors are presented.

  3. 26 CFR 1.871-4 - Proof of residence of aliens.

    Science.gov (United States)

    2010-04-01

    ... 26 Internal Revenue 9 2010-04-01 2010-04-01 false Proof of residence of aliens. 1.871-4 Section 1... (CONTINUED) INCOME TAXES Nonresident Aliens and Foreign Corporations § 1.871-4 Proof of residence of aliens... alien within the United States has acquired residence therein for purposes of the income tax. (b...

  4. Using metrics for proof rules for recursively defined delay-insensitive specifications

    NARCIS (Netherlands)

    Mallon, WC; Udding, JT

    1997-01-01

    An advantage of algebraic specifications of delay insensitive asynchronous processes over most other formalisms is that it allows the recursive definition of processes, and correctness proofs of an implementation through fixpoint induction. On the other hand, proofs by fixpoint induction are

  5. Direct observation of TALE protein dynamics reveals a two-state search mechanism.

    Science.gov (United States)

    Cuculis, Luke; Abil, Zhanar; Zhao, Huimin; Schroeder, Charles M

    2015-06-01

    Transcription activator-like effector (TALE) proteins are a class of programmable DNA-binding proteins for which the fundamental mechanisms governing the search process are not fully understood. Here we use single-molecule techniques to directly observe TALE search dynamics along DNA templates. We find that TALE proteins are capable of rapid diffusion along DNA using a combination of sliding and hopping behaviour, which suggests that the TALE search process is governed in part by facilitated diffusion. We also observe that TALE proteins exhibit two distinct modes of action during the search process-a search state and a recognition state-facilitated by different subdomains in monomeric TALE proteins. Using TALE truncation mutants, we further demonstrate that the N-terminal region of TALEs is required for the initial non-specific binding and subsequent rapid search along DNA, whereas the central repeat domain is required for transitioning into the site-specific recognition state.

  6. Organizational Relationship Termination Competence

    DEFF Research Database (Denmark)

    Ritter, Thomas; Geersbro, Jens

    2011-01-01

    termination are found to significantly affect a firm's relationship termination competence. The findings suggest that managers should regard termination as a legitimate option in customer relationship management. In order to decrease the number of unwanted customers, managers must accept termination......Most firms are involved in a number of customer relationships that drain the firm's resources. However, many firms are hesitant to address this problem. This paper investigates customer relationship termination at the organizational level. We develop and analyze the organizational dimensions...... of organizational termination in order to improve our understanding of the management of termination. The impact of these termination dimensions on the percentage of unwanted customers is developed and tested using PLS on data gathered from a cross-sectional survey of more than 800 sales representatives. We find...

  7. Teaching logic using a state-of-art proof assistant

    Directory of Open Access Journals (Sweden)

    Maxim Hendriks

    2010-06-01

    Full Text Available This article describes the system ProofWeb developed for teaching logic to undergraduate computer science students. The system is based on the higher order proof assistant Coq, and is made available to the students through an interactive web interface. Part of this system is a large database of logic problems. This database will also hold the solutions of the students. The students do not need to install anything to be able to use the system (not even a browser plug-in, and the teachers are able to centrally track progress of the students. The system makes the full power of Coq available to the students, but simultaneously presents the logic problems in a way that is customary in undergraduate logic courses. Both styles of presenting natural deduction proofs (Gentzen-style `tree view' and Fitch-style `box view' are supported. Part of the system is a parser that indicates whether the students used the automation of Coq to solve their problems or that they solved it themselves using only the inference rules of the logic. For these inference rules dedicated tactics for Coq have been developed. The system has already been used in type theory courses and logic undergraduate courses. The ProofWeb system can be tried at http://proofweb.cs.ru.nl/.

  8. Gödel, Truth and Proof

    Czech Academy of Sciences Publication Activity Database

    Peregrin, Jaroslav

    -, č. 82 (2007), s. 1-10 E-ISSN 1742-6596 R&D Projects: GA ČR(CZ) GA401/04/0117 Institutional research plan: CEZ:AV0Z90090514 Keywords : Gödel * incompleteness of arithmetic * proof vs. truth Subject RIV: AA - Philosophy ; Religion http://www.iop.org/EJ/ toc /1742-6596/82/1

  9. The Development of Proofs in Analytical Mathematics for Undergraduate Students

    Science.gov (United States)

    Ali, Maselan; Sufahani, Suliadi; Hasim, Nurnazifa; Saifullah Rusiman, Mohd; Roslan, Rozaini; Mohamad, Mahathir; Khalid, Kamil

    2018-04-01

    Proofs in analytical mathematics are essential parts of mathematics, difficult to learn because its underlying concepts are not visible. This research consists of problems involving logic and proofs. In this study, a short overview was provided on how proofs in analytical mathematics were used by university students. From the results obtained, excellent students obtained better scores compared to average and poor students. The research instruments used in this study consisted of two parts: test and interview. In this way, analysis of students’ actual performances can be obtained. The result of this study showed that the less able students have fragile conceptual and cognitive linkages but the more able students use their strong conceptual linkages to produce effective solutions

  10. Factors and factorizations of graphs proof techniques in factor theory

    CERN Document Server

    Akiyama, Jin

    2011-01-01

    This book chronicles the development of graph factors and factorizations. It pursues a comprehensive approach, addressing most of the important results from hundreds of findings over the last century. One of the main themes is the observation that many theorems can be proved using only a few standard proof techniques. This stands in marked contrast to the seemingly countless, complex proof techniques offered by the extant body of papers and books. In addition to covering the history and development of this area, the book offers conjectures and discusses open problems. It also includes numerous explanatory figures that enable readers to progressively and intuitively understand the most important notions and proofs in the area of factors and factorization.

  11. A simple proof of renormalization group equation in the minimal subtraction scheme

    International Nuclear Information System (INIS)

    Chetyrkin, K.G.

    1989-04-01

    We give a simple combinatorial proof of the renormalization group equation in the minimal subtraction scheme. Being mathematically rigorous, the proof avoids both the notorious complexity of techniques using parametric representations of Feynman diagrams and heuristic arguments of usual ''proofs'' calling up bare fields living in the space-time of complex dimension. It also copes easily with the general case of Green functions of arbitrary number of composite fields. (author). 24 refs

  12. Computer-aided proofs for multiparty computation with active security

    DEFF Research Database (Denmark)

    Haagh, Helene; Karbyshev, Aleksandr; Oechsner, Sabine

    2018-01-01

    Secure multi-party computation (MPC) is a general cryptographic technique that allows distrusting parties to compute a function of their individual inputs, while only revealing the output of the function. It has found applications in areas such as auctioning, email filtering, and secure...... teleconference. Given its importance, it is crucial that the protocols are specified and implemented correctly. In the programming language community it has become good practice to use computer proof assistants to verify correctness proofs. In the field of cryptography, EasyCrypt is the state of the art proof...... public-key encryption, signatures, garbled circuits and differential privacy. Here we show for the first time that it can also be used to prove security of MPC against a malicious adversary. We formalize additive and replicated secret sharing schemes and apply them to Maurer's MPC protocol for secure...

  13. Kitimat LNG terminal

    International Nuclear Information System (INIS)

    Schmaltz, I.; Boulton, R.

    2007-01-01

    Kitimat Liquefied Natural Gas (LNG) terminal is a terminal development company owned by Galveston LNG, a privately owned Canadian energy development company. This presentation provided information on Kitimat LNG with particular reference to its terminal located in Bish Cove on the Douglas Channel in British Columbia. This LNG terminal is reported to be the only fully permitted regasification terminal on the west coast of Canada and the United States. The presentation addressed market fundamentals including several graphs, such as world natural gas proved reserves in 2006; LNG supplements to Canadian gas supplies; global LNG demand for 2005-2020; average annual United States LNG imports; and global LNG liquefaction projects. Other market fundamentals were described, including that Kitimat is the only other approved terminal aside from the Costa Azul terminal in Mexico; Kitimat is the only west coast LNG import terminal that connects to midwest and eastern North American markets through existing gas pipelines; LNG producers are looking for destination diversification; and markets and marketers are looking for supply diversification. The authors noted that by 2010, western Canadian gas demand will exceed Californian demand. Other topics that were discussed in the presentation included Canadian natural gas field receipts; unadjusted bitumen production outlook; oil sands gas demand; forward basis fundamentals; and the commercial drivers of the Kitimat LNG terminal. The presentation also discussed the pacific trail pipelines, a partnership between Galveston LNG and Pacific Northern Gas to develop the natural gas transmission line from Kitimat to Summit. The presentation concluded with a discussion of the benefits of Kitimat LNG terminal such as providing access to the largest natural gas markets in the world via major gas transmission lines with spare capacity. figs

  14. Autonomous intelligent cars: proof that the EPSRC Principles are future-proof

    Science.gov (United States)

    de Cock Buning, Madeleine; de Bruin, Roeland

    2017-07-01

    Principle 2 of the EPSRC's principles of robotics (AISB workshop on Principles of Robotics, 2016) proves to be future proof when applied to the current state of the art of law and technology surrounding autonomous intelligent cars (AICs). Humans, not AICS, are responsible agents. AICs should be designed; operated as far as is practicable to comply with existing laws and fundamental rights and freedoms, including privacy by design. It will show that some legal questions arising from autonomous intelligent driving technology can be answered by the technology itself.

  15. Stable crack growth during over stressing or proof testing of pressure vessels

    International Nuclear Information System (INIS)

    Njo, D.H.

    1985-07-01

    In an earlier study several years ago an attempt has been made by a study group in Switzerland formed by representatives of utilities, manufacturers, inspection agency and the licensing authority to evaluate systematically the advantages and disadvantages of a proof test for a reactor pressure vessel (RPV) taking into account the different aspects involved. In this study, the present day practice in the requirements regarding proof testing in several countries with nuclear power plants were assessed. Using the method of fracture mechanics, taking into account the proof test conditions and material behaviour at hand, qualified quantitative statements were then sought for. One of the important findings of the study was that a sufficiently accurate determination of stable crack growth (SCG) during proof testing is a necessary precondition for a qualified quantitative statement. At that time this requirement could not be met. The aim of the present exercise of collecting available information on SCG was twofold: to get an overview of the present day requirements on pre-service and in-service proof testing of reactor pressure vessels in different countries with NPPs; to collect data on stable crack growth due to over stressing during proof tests to be used in the quantitative assessment, using fracture mechanics methods, and the potential benefit, if any, of proof tests. In the framework of the present study, the originally stipulated aims could not be achieved. It turned out to be a very complex and difficult problem, where various important aspects are little known and could not be assessed without further comprehensive theoretical and experimental investigations

  16. Search for νμ → νe oscillations

    International Nuclear Information System (INIS)

    Godley, A.R.

    1998-01-01

    Full text: Neutrino oscillations, the changing of neutrino flavour state from one of τ, μ or e, to another, are proof of massive neutrinos, in turn pointing to Physics beyond the Standard Model, and so are of great current interest. Solar and atmospheric neutrino results suggested evidence for neutrino oscillations. Further, a tau neutrino mass of ∼ 10 eV could supply the missing mass needed to close the Universe. To satisfy the increasing interest, CERN's Neutrino Physics Program commissioned two concurrent experiments to investigate the possibility of neutrino oscillations, one of which is NOMAD, Neutrino Oscillation Magnetic Detector. NOMAD was designed to verify or deny the earlier positive neutrino oscillations results by searching for muon to tauon neutrino oscillations in accelerator neutrinos. The LSND experiment later provided evidence for muon to electron neutrino oscillations, but due to the multi-purpose design of NOMAD, it was also possible to investigate this channel. Moreover, the area of phase space being uncovered, (related to neutrino energy and oscillation length), overlaps considerably with that of LSND. An electron neutrino oscillation search involves looking for electron neutrinos in what is primarily a muon neutrino beam, with just a small contamination of electron neutrinos. It is surmised that the excess of electron neutrinos come from oscillated muon neutrinos. This type of search is called an appearance search. The principles of such a search will be detailed herein. These include a breakdown of the CERN Neutrino Beam and a method for detecting and collating different neutrino flavours at NOMAD

  17. Reversal burden of proof on corruption in Indonesia

    OpenAIRE

    Nugroho, Hibnu

    2018-01-01

    Corruption becomes the greatest enemy most countries face including Indonesia. Commitment to eradicate corruption significantly increases yet it would be meaningless if it is not supported by adequate legislation to implement the law effectively. Reversal burden of proof essentially aims to facilitate law enforcers to seek and disclose assets a suspect owns allegedly as corruption crime. The principle of reversal burden of proof was originated from Anglo-Saxon countries and this still applies...

  18. 6 CFR 13.30 - The hearing and burden of proof.

    Science.gov (United States)

    2010-01-01

    ... 6 Domestic Security 1 2010-01-01 2010-01-01 false The hearing and burden of proof. 13.30 Section 13.30 Domestic Security DEPARTMENT OF HOMELAND SECURITY, OFFICE OF THE SECRETARY PROGRAM FRAUD CIVIL REMEDIES § 13.30 The hearing and burden of proof. (a) The ALJ will conduct a hearing on the record in order...

  19. Using fluorescence lymphangiography to define the ileocolic mesentery: proof of concept for the watershed area using real-time imaging.

    Science.gov (United States)

    Keller, D S; Joshi, H M; Rodriguez-Justo, M; Walsh, D; Coffey, J C; Chand, M

    2017-09-01

    Recent advances in mesenteric science have demonstrated that the mesentery is a continuous structure with a 'watershed' area at the mesenteric apex between the right colon and terminal ileum, where lymphatic flow can proceed either proximally or distally. With this new understanding of the anatomy, functional features are emerging, which can have an impact on surgical management. Fluorescence lymphangiography or lymphoscintigraphy with indocyanine green allows real-time visualization of lymphatic channels, which highlights sentinel lymph nodes and may facilitate identification of the ideal margins for mesenteric lymphadenectomy during bowel resection for colon cancer. By using this novel technology, it is possible to demonstrate a watershed area in the ileocolic region and may facilitate more precise mesenteric dissection. In the present study, we provide proof of concept for the ileocolic watershed area using fluorescence lymphangiography.

  20. Formal Proofs for Nonlinear Optimization

    Directory of Open Access Journals (Sweden)

    Victor Magron

    2015-01-01

    Full Text Available We present a formally verified global optimization framework. Given a semialgebraic or transcendental function f and a compact semialgebraic domain K, we use the nonlinear maxplus template approximation algorithm to provide a certified lower bound of f over K.This method allows to bound in a modular way some of the constituents of f by suprema of quadratic forms with a well chosen curvature. Thus, we reduce the initial goal to a hierarchy of semialgebraic optimization problems, solved by sums of squares relaxations. Our implementation tool interleaves  semialgebraic approximations with sums of squares witnesses to form certificates. It is interfaced with Coq and thus benefits from the trusted arithmetic available inside the proof assistant. This feature is used to produce, from the certificates, both valid underestimators and lower bounds for each approximated constituent.The application range for such a tool is widespread; for instance Hales' proof of Kepler's conjecture yields thousands of multivariate transcendental inequalities. We illustrate the performance of our formal framework on some of these inequalities as well as on examples from the global optimization literature.

  1. Searching for the majority: algorithms of voluntary control.

    Directory of Open Access Journals (Sweden)

    Jin Fan

    Full Text Available Voluntary control of information processing is crucial to allocate resources and prioritize the processes that are most important under a given situation; the algorithms underlying such control, however, are often not clear. We investigated possible algorithms of control for the performance of the majority function, in which participants searched for and identified one of two alternative categories (left or right pointing arrows as composing the majority in each stimulus set. We manipulated the amount (set size of 1, 3, and 5 and content (ratio of left and right pointing arrows within a set of the inputs to test competing hypotheses regarding mental operations for information processing. Using a novel measure based on computational load, we found that reaction time was best predicted by a grouping search algorithm as compared to alternative algorithms (i.e., exhaustive or self-terminating search. The grouping search algorithm involves sampling and resampling of the inputs before a decision is reached. These findings highlight the importance of investigating the implications of voluntary control via algorithms of mental operations.

  2. A Short Proof of Klee's Theorem

    OpenAIRE

    Zanazzi, John J.

    2013-01-01

    In 1959, Klee proved that a convex body $K$ is a polyhedron if and only if all of its projections are polygons. In this paper, a new proof of this theorem is given for convex bodies in $\\mathbb{R}^3$.

  3. 47 CFR 1.359 - Proof of official record; authentication of copy.

    Science.gov (United States)

    2010-10-01

    ... 47 Telecommunication 1 2010-10-01 2010-10-01 false Proof of official record; authentication of copy. 1.359 Section 1.359 Telecommunication FEDERAL COMMUNICATIONS COMMISSION GENERAL PRACTICE AND PROCEDURE Hearing Proceedings Evidence § 1.359 Proof of official record; authentication of copy. An official...

  4. Justification of the project a network of freight terminals unitized cargo

    Directory of Open Access Journals (Sweden)

    Ilesaliev D.I.

    2016-12-01

    Full Text Available In this paper we consider the question of Uzbekistan in promoting the development of international transport in supply chains. The development of transport infrastructure to ensure timely delivery of goods is one of the main tasks in supply chain management. The aim is to study of the project network terminal unitized cargo Uzbekistan in supply chains. Methods the study is based on analysis of existing methods and techniques of Russian scientists in the field of place-ment of objects. The method of searching the most rational location of logistics facility in the supply chain. Also pre-justified the project network terminal unitized cargo in Uzbekistan. Given the state of the problems and prospects of transport logistics of Uzbekistan, the developed method can be used by experts when performing the supporting calcula-tions location of logistic objects.

  5. A False-name-Proof Double Auction Protocol for Arbitrary Evaluation Values

    Science.gov (United States)

    Sakurai, Yuko; Yokoo, Makoto

    We develop a new false-name-proof double auction protocol called the Generalized Threshold Price Double auction (GTPD) protocol. False-name-proofness generalizes strategy-proofness by incorporating the possibility of false-name bids, e.g., bids submitted using multiple e-mail addresses. An existing protocol called TPD protocol is false-name-proof but can handle only the cases where marginal utilities of each agent always decrease, while our new GTPD protocol can handle arbitrary evaluation values. When marginal utilities can increase, some bids cannot be divided into a single unit (e.g., an all-or-nothing bid). Due to the existence of such indivisible bids, meeting supply/demand becomes difficult. Furthermore, a seller/buyer can submit a false-name-bid by pretending to be a potential buyer/seller to manipulate allocations and payments. In the GTPD protocol, the auctioneer is required to absorb the supply-demand imbalance up to a given upper-bound. Also, the GTPD incorporate a new false-name-proof one-sided auction protocol that is guaranteed to sell/buy a certain number of units. Simulation results show that when the threshold price is set appropriately, this protocol can obtain a good social surplus, and the number of absorbed units is much smaller than the given upper-bound.

  6. Semantics and correctness proofs for programs with partial functions

    International Nuclear Information System (INIS)

    Yakhnis, A.; Yakhnis, V.

    1996-01-01

    This paper presents a portion of the work on specification, design, and implementation of safety-critical systems such as reactor control systems. A natural approach to this problem, once all the requirements are captured, would be to state the requirements formally and then either to prove (preferably via automated tools) that the system conforms to spec (program verification), or to try to simultaneously generate the system and a mathematical proof that the requirements are being met (program derivation). An obstacle to this is frequent presence of partially defined operations within the software and its specifications. Indeed, the usual proofs via first order logic presuppose everywhere defined operations. Recognizing this problem, David Gries, in ''The Science of Programming,'' 1981, introduced the concept of partial functions into the mainstream of program correctness and gave hints how his treatment of partial functions could be formalized. Still, however, existing theorem provers and software verifiers have difficulties in checking software with partial functions, because of absence of uniform first order treatment of partial functions within classical 2-valued logic. Several rigorous mechanisms that took partiality into account were introduced [Wirsing 1990, Breu 1991, VDM 1986, 1990, etc.]. However, they either did not discuss correctness proofs or departed from first order logic. To fill this gap, the authors provide a semantics for software correctness proofs with partial functions within classical 2-valued 1st order logic. They formalize the Gries treatment of partial functions and also cover computations of functions whose argument lists may be only partially available. An example is nuclear reactor control relying on sensors which may fail to deliver sense data. This approach is sufficiently general to cover correctness proofs in various implementation languages

  7. Strategy-Proof Assignment Of Multiple Resources

    DEFF Research Database (Denmark)

    Erlanson, Albin; Szwagrzak, Karol

    2015-01-01

    We examine the strategy-proof allocation of multiple resources; an application is the assignment of packages of tasks, workloads, and compensations among the members of an organization. In the domain of multidimensional single-peaked preferences, we find that any allocation mechanism obtained by ...

  8. 47 CFR 1.254 - Nature of the hearing; burden of proof.

    Science.gov (United States)

    2010-10-01

    ... 47 Telecommunication 1 2010-10-01 2010-10-01 false Nature of the hearing; burden of proof. 1.254 Section 1.254 Telecommunication FEDERAL COMMUNICATIONS COMMISSION GENERAL PRACTICE AND PROCEDURE Hearing Proceedings Hearing and Intermediate Decision § 1.254 Nature of the hearing; burden of proof. Any hearing upon...

  9. Goedel, truth and proof

    International Nuclear Information System (INIS)

    Peregrin, Jaroslav

    2007-01-01

    The usual way of interpreting Goedel's (1931) incompleteness result is as showing that there is a gap between truth and provability, i.e. that we can never prove everything that is true. Moreover, this result is supposed to show that there are unprovable truths which we can know to be true. This, so the story goes, shows that we are more than machines that are restricted to acting as proof systems. Hence our minds are 'not mechanical'

  10. A new family of Polak-Ribiere-Polyak conjugate gradient method with the strong-Wolfe line search

    Science.gov (United States)

    Ghani, Nur Hamizah Abdul; Mamat, Mustafa; Rivaie, Mohd

    2017-08-01

    Conjugate gradient (CG) method is an important technique in unconstrained optimization, due to its effectiveness and low memory requirements. The focus of this paper is to introduce a new CG method for solving large scale unconstrained optimization. Theoretical proofs show that the new method fulfills sufficient descent condition if strong Wolfe-Powell inexact line search is used. Besides, computational results show that our proposed method outperforms to other existing CG methods.

  11. Modifying the ECC-based grouping-proof RFID system to increase inpatient medication safety.

    Science.gov (United States)

    Ko, Wen-Tsai; Chiou, Shin-Yan; Lu, Erl-Huei; Chang, Henry Ker-Chang

    2014-09-01

    RFID technology is increasingly used in applications that require tracking, identification, and authentication. It attaches RFID-readable tags to objects for identification and execution of specific RFID-enabled applications. Recently, research has focused on the use of grouping-proofs for preserving privacy in RFID applications, wherein a proof of two or more tags must be simultaneously scanned. In 2010, a privacy-preserving grouping proof protocol for RFID based on ECC in public-key cryptosystem was proposed but was shown to be vulnerable to tracking attacks. A proposed enhancement protocol was also shown to have defects which prevented proper execution. In 2012, Lin et al. proposed a more efficient RFID ECC-based grouping proof protocol to promote inpatient medication safety. However, we found this protocol is also vulnerable to tracking and impersonation attacks. We then propose a secure privacy-preserving RFID grouping proof protocol for inpatient medication safety and demonstrate its resistance to such attacks.

  12. A 3-axis force balanced accelerometer using a single proof-mass

    Energy Technology Data Exchange (ETDEWEB)

    Lemkin, M.A.; Boser, B.E.; Auslander, D. [Univ. of California, Berkeley, CA (United States); Smith, J. [Sandia National Lab., Albuquerque, NM (United States)

    1997-04-01

    This paper presents a new method for wideband force balancing a proof-mass in multiple axes simultaneously. Capacitive position sense and force feedback are accomplished using the same air-gap capacitors through time multiplexing. Proof of concept is experimentally demonstrated with a single-mass monolithic surface micromachined 3-axis accelerometer.

  13. Fast parallel tandem mass spectral library searching using GPU hardware acceleration.

    Science.gov (United States)

    Baumgardner, Lydia Ashleigh; Shanmugam, Avinash Kumar; Lam, Henry; Eng, Jimmy K; Martin, Daniel B

    2011-06-03

    Mass spectrometry-based proteomics is a maturing discipline of biologic research that is experiencing substantial growth. Instrumentation has steadily improved over time with the advent of faster and more sensitive instruments collecting ever larger data files. Consequently, the computational process of matching a peptide fragmentation pattern to its sequence, traditionally accomplished by sequence database searching and more recently also by spectral library searching, has become a bottleneck in many mass spectrometry experiments. In both of these methods, the main rate-limiting step is the comparison of an acquired spectrum with all potential matches from a spectral library or sequence database. This is a highly parallelizable process because the core computational element can be represented as a simple but arithmetically intense multiplication of two vectors. In this paper, we present a proof of concept project taking advantage of the massively parallel computing available on graphics processing units (GPUs) to distribute and accelerate the process of spectral assignment using spectral library searching. This program, which we have named FastPaSS (for Fast Parallelized Spectral Searching), is implemented in CUDA (Compute Unified Device Architecture) from NVIDIA, which allows direct access to the processors in an NVIDIA GPU. Our efforts demonstrate the feasibility of GPU computing for spectral assignment, through implementation of the validated spectral searching algorithm SpectraST in the CUDA environment.

  14. Proofs of the Cantor-Bernstein theorem a mathematical excursion

    CERN Document Server

    Hinkis, Arie

    2013-01-01

    This book offers an excursion through the developmental area of research mathematics. It presents some 40 papers, published between the 1870s and the 1970s, on proofs of the Cantor-Bernstein theorem and the related Bernstein division theorem. While the emphasis is placed on providing accurate proofs, similar to the originals, the discussion is broadened to include aspects that pertain to the methodology of the development of mathematics and to the philosophy of mathematics. Works of prominent mathematicians and logicians are reviewed, including Cantor, Dedekind, Schröder, Bernstein, Borel, Zermelo, Poincaré, Russell, Peano, the Königs, Hausdorff, Sierpinski, Tarski, Banach, Brouwer and several others mainly of the Polish and the Dutch schools. In its attempt to present a diachronic narrative of one mathematical topic, the book resembles Lakatos’ celebrated book Proofs and Refutations. Indeed, some of the observations made by Lakatos are corroborated herein. The analogy between the two books is clearly an...

  15. Multi-dimensional Rankings, Program Termination, and Complexity Bounds of Flowchart Programs

    OpenAIRE

    Alias , Christophe; Darte , Alain; Feautrier , Paul; Gonnord , Laure

    2010-01-01

    International audience; Proving the termination of a flowchart program can be done by exhibiting a ranking function, i.e., a function from the program states to a well-founded set, which strictly decreases at each program step. A standard method to automatically generate such a function is to compute invariants for each program point and to search for a ranking in a restricted class of functions that can be handled with linear programming techniques. Previous algorithms based on affine rankin...

  16. Equihash: Asymmetric Proof-of-Work Based on the Generalized Birthday Problem

    Directory of Open Access Journals (Sweden)

    Alex Biryukov

    2017-04-01

    Full Text Available Proof-of-work is a central concept in modern cryptocurrencies and denial-ofservice protection tools, but the requirement for fast verification so far has made it an easy prey for GPU-, ASIC-, and botnet-equipped users. The attempts to rely on memory-intensive computations in order to remedy the disparity between architectures have resulted in slow or broken schemes. In this paper we solve this open problem and show how to construct an asymmetric proof-of-work (PoW based on a computationally-hard problem, which requires a great deal of memory to generate a proof (called a ”memory-hardness” feature but is instant to verify. Our primary proposal, Equihash, is a PoW based on the generalized birthday problem and enhanced Wagner’s algorithm for it. We introduce the new technique of algorithm binding to prevent cost amortization and demonstrate that possible parallel implementations are constrained by memory bandwidth. Our scheme has tunable and steep time-space tradeoffs, which impose large computational penalties if less memory is used. Our solution is practical and ready to deploy: a reference implementation of a proof-of-work requiring 700 MB of RAM runs in 15 seconds on a 2.1 GHz CPU, increases the computations by a factor of 1000 if memory is halved, and presents a proof of just 120 bytes long.

  17. Pythagoras on the rocks. A proof with bricks

    Directory of Open Access Journals (Sweden)

    Michele Cagol

    2016-04-01

    Full Text Available In this short paper a practical and simple proof of the Pythagorean theorem is proposed. It uses colourful interlocking plastic bricks with two shapes: a cube that measures two centimeters on each side and a right prism where the base is a right-angled isosceles triangle and the two equal rectangular faces are the same as those of the cubic brick. The proof is designed for primary school children (but also for preschool children and begins by telling the legend of Pythagoras, who discovered his theorem by looking at the floor tile pattern of Polycrates’ palace. This proof takes into account only right-angled isosceles triangle but it is possible to show the validity of Pythagorean theorem for all right-angled triangles by building a simple proof by rearrangement. Pitagora on the rocks. Una dimostrazione con i mattonciniIn questo breve contributo viene proposta una semplice dimostrazione pratica del teorema di Pitagora, utilizzando mattoncini a incastro di plastica colorata di due forme: un cubo di due centimetri per lato e un prisma retto la cui base è un triangolo isoscele rettangolo e nel quale le due facce equivalenti sono uguali a quelle del mattoncino cubico. La dimostrazione è rivolta a bambini della scuola primaria (ma, eventualmente, anche in età prescolare e prende le mosse dalla leggenda secondo la quale Pitagora avrebbe scoperto il suo teorema mentre stava osservando il pavimento piastrellato del palazzo di Policrate, tiranno di Samo. Da questa dimostrazione – che prende in considerazione solo triangoli rettangoli isosceli – è poi possibile passare a una dimostrazione del teorema di Pitagora per tutti i triangoli rettangoli.

  18. Opportunities to Learn Reasoning and Proof in High School Mathematics Textbooks

    Science.gov (United States)

    Thompson, Denisse R.; Senk, Sharon L.; Johnson, Gwendolyn J.

    2012-01-01

    The nature and extent of reasoning and proof in the written (i.e., intended) curriculum of 20 contemporary high school mathematics textbooks were explored. Both the narrative and exercise sets in lessons dealing with the topics of exponents, logarithms, and polynomials were examined. The extent of proof-related reasoning varied by topic and…

  19. Proof and Proving: Logic, Impasses, and the Relationship to Problem Solving

    Science.gov (United States)

    Savic, Milos

    2012-01-01

    Becoming a skillful prover is critical for success in advanced undergraduate and graduate mathematics courses. In this dissertation, I report my investigations of proof and the proving process in three separate studies. In the first study, I examined the amount of logic used in student-constructed proofs to help in the design of…

  20. Coqoon - An IDE for Interactive Proof Development in Coq

    DEFF Research Database (Denmark)

    Faithfull, Alexander; Bengtson, Jesper; Tassi, Enrico

    2016-01-01

    User interfaces for interactive proof assistants have always lagged behind those for mainstream programming languages. Whereas integrated development environments—IDEs—have support for features like project management, version control, dependency analysis and incremental project compilation, “IDE...... these projects using the Eclipse common build system. Coqoon takes advantage of the latest features of Coq, including asynchronous and parallel processing of proofs, and—when used together with a third-party OCaml extension for Eclipse—can even be used to work on large developments containing Coq plugins....

  1. A proof of the conjecture on the twin primes

    Energy Technology Data Exchange (ETDEWEB)

    Zuo-ling, Zhou [Department of Lingnan college, Sun Yat-sen University GuangZhou, GuangDong, 510275 (China)

    2016-06-08

    In this short note, we have proved the conjecture on twin primes using some thoughts of the set theory. Firstly, using the original sieve method and a new notation(concept)introduced by myself, the conjecture on twin primes is summed up as an elementary successive limit, afterwards we form a subsequence of positive integers,and using it,we prove that the successive limits are commutative and complete the proof of the conjecture on twin primes We also give a more straightforward proof of the conjecture.

  2. The Knuckle-Cracker's Dilemma: A Transaction Log Study of OPAC Subject Searching.

    Science.gov (United States)

    Ferl, Terry Ellen; Milsap, Larry

    1996-01-01

    Researchers studying subject searching distributed an online questionnaire to users who access the University of California's online public access catalog, MELVYL, from public access terminals in the libraries of the University of California at Santa Cruz. This article discusses the results of transaction log analysis, comparison of in-library and…

  3. Exploring mathematics problem-solving and proof

    CERN Document Server

    Grieser, Daniel

    2018-01-01

    Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book. Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is requi...

  4. How predictive are photosensitive epilepsy models as proof of principle trials for epilepsy?

    Science.gov (United States)

    Yuen, Eunice S M; Sims, John R

    2014-06-01

    Human photosensitive epilepsy models have been used as proof of principle (POP) trials for epilepsy. Photosensitive patients are exposed to intermittent photic stimulation and the reduction in sensitivity to the number of standard visual stimulation frequencies is used as an endpoint. The aim of this research was to quantify the predictive capabilities of photosensitive POP trials, through a survey of current literature. A literature search was undertaken to identify articles describing photosensitive POP trials. Minimally efficacious doses (MEDs) in epilepsy were compared to doses in the POP trials that produced 50-100% response (ED50-100). Ratios of these doses were calculated and summarised statistically. The search identified ten articles describing a total of 17 anti-epileptic drugs. Of these, data for both MED and ED50-100 were available for 13 anti-epileptic drugs. The average ratio of MED to ED50-100 was 0.95 (95% CI 0.60-1.30). The difference in MED to ED50-100 ratios between partial epilepsy (0.82) was not significantly different from that of generalised epilepsy (1.08) (p=0.51). Photosensitive POP trials are a useful tool to quantitatively predict efficacy in epilepsy, and can be useful as early and informative indicators in anti-epileptic drug discovery and development. Copyright © 2014 British Epilepsy Association. Published by Elsevier Ltd. All rights reserved.

  5. A short list color proof of Grötzsch's theorem

    DEFF Research Database (Denmark)

    Thomassen, Carsten

    2003-01-01

    We give a short proof of the result that every planar graph of girth 5 is 3-choosable and hence also of Grotzsch's theorem saying that every planar triangle-free graph is 3-colorable.......We give a short proof of the result that every planar graph of girth 5 is 3-choosable and hence also of Grotzsch's theorem saying that every planar triangle-free graph is 3-colorable....

  6. Logic Reduced To Bare (Proof-Theoretical) Bones

    Czech Academy of Sciences Publication Activity Database

    Peregrin, Jaroslav

    2015-01-01

    Roč. 24, č. 2 (2015), s. 193-209 ISSN 0925-8531 Institutional support: RVO:67985955 Keywords : inference * incompatibility * proof theory * intuitionistic logic Subject RIV: AA - Philosophy ; Religion Impact factor: 0.450, year: 2015

  7. Online fault detection of permanent magnet demagnetization for IPMSMs by nonsingular fast terminal-sliding-mode observer.

    Science.gov (United States)

    Zhao, Kai-Hui; Chen, Te-Fang; Zhang, Chang-Fan; He, Jing; Huang, Gang

    2014-12-05

    To prevent irreversible demagnetization of a permanent magnet (PM) for interior permanent magnet synchronous motors (IPMSMs) by flux-weakening control, a robust PM flux-linkage nonsingular fast terminal-sliding-mode observer (NFTSMO) is proposed to detect demagnetization faults. First, the IPMSM mathematical model of demagnetization is presented. Second, the construction of the NFTSMO to estimate PM demagnetization faults in IPMSM is described, and a proof of observer stability is given. The fault decision criteria and fault-processing method are also presented. Finally, the proposed scheme was simulated using MATLAB/Simulink and implemented on the RT-LAB platform. A number of robustness tests have been carried out. The scheme shows good performance in spite of speed fluctuations, torque ripples and the uncertainties of stator resistance.

  8. Study of Solid State Drives performance in PROOF distributed analysis system

    Science.gov (United States)

    Panitkin, S. Y.; Ernst, M.; Petkus, R.; Rind, O.; Wenaus, T.

    2010-04-01

    Solid State Drives (SSD) is a promising storage technology for High Energy Physics parallel analysis farms. Its combination of low random access time and relatively high read speed is very well suited for situations where multiple jobs concurrently access data located on the same drive. It also has lower energy consumption and higher vibration tolerance than Hard Disk Drive (HDD) which makes it an attractive choice in many applications raging from personal laptops to large analysis farms. The Parallel ROOT Facility - PROOF is a distributed analysis system which allows to exploit inherent event level parallelism of high energy physics data. PROOF is especially efficient together with distributed local storage systems like Xrootd, when data are distributed over computing nodes. In such an architecture the local disk subsystem I/O performance becomes a critical factor, especially when computing nodes use multi-core CPUs. We will discuss our experience with SSDs in PROOF environment. We will compare performance of HDD with SSD in I/O intensive analysis scenarios. In particular we will discuss PROOF system performance scaling with a number of simultaneously running analysis jobs.

  9. A proof of the conformal collider bounds

    Energy Technology Data Exchange (ETDEWEB)

    Hofman, Diego M. [Institute for Theoretical Physics, University of Amsterdam, Science Park 904, Postbus 94485, 1090 GL, Amsterdam (Netherlands); Li, Daliang [Department of Physics and Astronomy, Johns Hopkins University, Baltimore, MD 21218 (United States); Meltzer, David [Department of Physics, Yale University, New Haven, CT 06511 (United States); Poland, David [Department of Physics, Yale University, New Haven, CT 06511 (United States); School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540 (United States); Rejon-Barrera, Fernando [Institute for Theoretical Physics, University of Amsterdam, Science Park 904, Postbus 94485, 1090 GL, Amsterdam (Netherlands)

    2016-06-20

    In this paper, we prove that the “conformal collider bounds” originally proposed in http://dx.doi.org/10.1088/1126-6708/2008/05/012 hold for any unitary parity-preserving conformal field theory (CFT) with a unique stress tensor in dimensions d≥3. In particular this implies that the ratio of central charges for a unitary 4d CFT lies in the interval (31/18)≥(a/c)≥(1/3). For superconformal theories this is further reduced to (3/2)≥(a/c)≥(1/2). The proof relies only on CFT first principles — in particular, bootstrap methods — and thus constitutes the first complete field theory proof of these bounds. We further elaborate on similar bounds for non-conserved currents and relate them to results obtained recently from deep inelastic scattering.

  10. CONTAINER TERMINALS IN EUROPE

    Directory of Open Access Journals (Sweden)

    Bart W. WIEGMANS

    2001-01-01

    Full Text Available This paper aims to address the linkage between logistics (in particular, the management of marketing channel flows and transport markets, while also the interaction between these two markets and intermodal container terminals is analysed. The marketing channel theory is used to describe all relevant actors and flows that run through marketing channels, starting with customer needs and ending with customer satisfaction. Porter's theory of competitive advantages is used to review competitive forces in both markets. Finally, a competitor analysis is performed for the logistics and transport market. These theories are applied so as to be able to determine the competitive position of intermodal container terminals with a view to the management of marketing channel flows and the physical transport of freight flows. Hence, the central question of this paper is: Which markets are served by intermodal container terminals and with whom are they competing? At present, neither the maritime container terminals nor the continental container terminals appear to have a significant influence in the logistics service market; they concentrate mainly on the physical movement of containers (transshipment. Furthermore, maritime container terminals and continental container terminals are not dominant players in the transport service market. Our conclusion is that continental terminals are predominantly competing with unimodal road transport, with neighbouring continental terminals and with barge transport companies.

  11. Termination of pregnancy for fetal abnormality: a meta-ethnography of women's experiences.

    Science.gov (United States)

    Lafarge, Caroline; Mitchell, Kathryn; Fox, Pauline

    2014-11-01

    Due to technological advances in antenatal diagnosis of fetal abnormalities, more women face the prospect of terminating pregnancies on these grounds. Much existing research focuses on women's psychological adaptation to this event. However, there is a lack of holistic understanding of women's experiences. This article reports a systematic review of qualitative studies into women's experiences of pregnancy termination for fetal abnormality. Eight databases were searched up to April 2014 for peer-reviewed studies, written in English, that reported primary or secondary data, used identifiable and interpretative qualitative methods, and offered a valuable contribution to the synthesis. Altogether, 4,281 records were screened; 14 met the inclusion criteria. The data were synthesised using meta-ethnography. Four themes were identified: a shattered world, losing and regaining control, the role of health professionals and the power of cultures. Pregnancy termination for fetal abnormality can be considered as a traumatic event that women experience as individuals, in their contact with the health professional community, and in the context of their politico-socio-legal environment. The range of emotions and experiences that pregnancy termination for fetal abnormality generates goes beyond the abortion paradigm and encompasses a bereavement model. Coordinated care pathways are needed that enable women to make their own decisions and receive supportive care. Copyright © 2014 Reproductive Health Matters. Published by Elsevier Ltd. All rights reserved.

  12. Decorated proofs for computational effects: States

    Directory of Open Access Journals (Sweden)

    Jean-Guillaume Dumas

    2012-08-01

    Full Text Available The syntax of an imperative language does not mention explicitly the state, while its denotational semantics has to mention it. In this paper we show that the equational proofs about an imperative language may hide the state, in the same way as the syntax does.

  13. Hash3: Proofs, Analysis and Implementation

    DEFF Research Database (Denmark)

    Gauravaram, Praveen

    2009-01-01

    This report outlines the talks presented at the winter school on Hash3: Proofs, Analysis, and Implementation, ECRYPT II Event on Hash Functions. In general, speakers may not write everything what they talk on the slides. So, this report also outlines such findings following the understanding of t...

  14. A Simple Proof of the Theorem Concerning Optimality in a One-Dimensional Ergodic Control Problem

    International Nuclear Information System (INIS)

    Fujita, Y.

    2000-01-01

    We give a simple proof of the theorem concerning optimality in a one-dimensional ergodic control problem. We characterize the optimal control in the class of all Markov controls. Our proof is probabilistic and does not need to solve the corresponding Bellman equation. This simplifies the proof

  15. Circular, explosion-proof lamp provides uniform illumination

    Science.gov (United States)

    1966-01-01

    Circular explosion-proof fluorescent lamp is fitted around a TV camera lens to provide shadowless illumination with a low radiant heat flux. The lamp is mounted in a transparent acrylic housing sealed with clear silicone rubber.

  16. Visual communication and terminal equipment

    International Nuclear Information System (INIS)

    Kang, Cheol Hui

    1988-06-01

    This book is divided two parts about visual communication and terminal equipment. The first part introduces visual communication, which deals with foundation of visual communication, technique of visual communication, equipment of visual communication, a facsimile and pictorial image system. The second part contains terminal equipment such as telephone, terminal equipment for data transmission on constitution and constituent of terminal equipment for data transmission, input device and output device, terminal device and up-to-date terminal device.

  17. Visual communication and terminal equipment

    Energy Technology Data Exchange (ETDEWEB)

    Kang, Cheol Hui

    1988-06-15

    This book is divided two parts about visual communication and terminal equipment. The first part introduces visual communication, which deals with foundation of visual communication, technique of visual communication, equipment of visual communication, a facsimile and pictorial image system. The second part contains terminal equipment such as telephone, terminal equipment for data transmission on constitution and constituent of terminal equipment for data transmission, input device and output device, terminal device and up-to-date terminal device.

  18. Proof systems for Moss’ coalgebraic logic

    NARCIS (Netherlands)

    Bílková, M.; Palmigiano, A.; Venema, Y.

    2014-01-01

    We study Gentzen-style proof theory of the finitary version of the coalgebraic logic introduced by L. Moss. The logic captures the behaviour of coalgebras for a large class of set functors. The syntax of the logic, defined uniformly with respect to a finitary coalgebraic type functor T , uses a

  19. Short proofs for the determinant identities

    Czech Academy of Sciences Publication Activity Database

    Hrubeš, Pavel; Tzameret, I.

    2015-01-01

    Roč. 44, č. 2 (2015), s. 340-383 ISSN 0097-5397 EU Projects: European Commission(XE) 339691 - FEALORA Program:FP7 Institutional support: RVO:67985840 Keywords : proof complexity * arithmetic circuits Subject RIV: BA - General Mathematics Impact factor: 0.841, year: 2015 http://epubs.siam.org/doi/abs/10.1137/130917788

  20. A Lightweight RFID Grouping-Proof Protocol Based on Parallel Mode and DHCP Mechanism

    Directory of Open Access Journals (Sweden)

    Zhicai Shi

    2017-07-01

    Full Text Available A Radio Frequency Identification (RFID grouping-proof protocol is to generate an evidence of the simultaneous existence of a group of tags and it has been applied to many different fields. For current grouping-proof protocols, there still exist some flaws such as low grouping-proof efficiency, being vulnerable to trace attack and information leakage. To improve the secure performance and efficiency, we propose a lightweight RFID grouping-proof protocol based on parallel mode and DHCP (Dynamic Host Configuration Protocol mechanism. Our protocol involves multiple readers and multiple tag groups. During the grouping-proof period, one reader and one tag group are chosen by the verifier by means of DHCP mechanism. When only a part of the tags of the chosen group exist, the protocol can also give the evidence of their co-existence. Our protocol utilizes parallel communication mode between reader and tags so as to ensure its grouping-proof efficiency. It only uses Hash function to complete the mutual authentication among verifier, readers and tags. It can preserve the privacy of the RFID system and resist the attacks such as eavesdropping, replay, trace and impersonation. Therefore the protocol is secure, flexible and efficient. It only uses some lightweight operations such as Hash function and a pseudorandom number generator. Therefore it is very suitable to some low-cost RFID systems.

  1. Search for all d-MPs for all d levels in multistate two-terminal networks

    International Nuclear Information System (INIS)

    Bai, Guanghan; Zuo, Ming J.; Tian, Zhigang

    2015-01-01

    A general method for reliability evaluation of multistate network is using minimal path vectors. A minimal path (MP) vector to system state d is called a d-MP. Most reported works on generating d-MPs are for a particular d value. However, if all d-MPs for all possible integer d values are required, we need to call such methods multiple times with respect to all d values. A more efficient method is desirable to generate all d-MPs. In this paper, we develop a recursive algorithm based on breadth-first search to search for all the d-MPs for all possible d values. The relationships among d-MPs for different d levels are revealed. Each d-MP candidate can be generated by a combination of one (d-1)-MP and the vector form of one binary minimal path. Thus, we can use binary MPs as building blocks to generate 2-MP candidates, and use 2-MPs and binary MPs as building blocks to generate 3-MP candidates … and so forth. When the d-MPs with respect to the maximum d value have been found, all the d-MPs for all possible d values are obtained. A heuristic for pre-processing the MPs is proposed to improve the efficiency of the algorithm. Through computational experiments, it is found that the proposed algorithm is more efficient than existing algorithms for finding all d-MPs for all possible d values. In addition, we show that the proposed algorithm can also be used to generate a subset of d-MPs for all or some d values given a subset of MPs. The generated subset of d-MPs can be used for lower reliability bound evaluation. - Highlights: • The relationships among d-MPs for different d levels are revealed. • An efficient algorithm is developed to search for all d-MPs for all d levels. • A heuristic for pre-processing the MPs is proposed to improve the efficiency. • The computational efficiency of the algorithm is investigated. • A method to search for subsets of d-MPs is proposed for reliability bounding

  2. A nonperturbative proof of Dijkgraaf-Vafa conjecture

    International Nuclear Information System (INIS)

    Terashima, Seiji

    2016-01-01

    In this note we exactly compute the gaugino condensation of an arbitrary four dimensional N=1 supersymmetric gauge theory in confining phase, using the localization technique. This result gives a nonperturbative proof of the Dijkgraaf-Vafa conjecture.

  3. Ergodicity, Maximum Entropy Production, and Steepest Entropy Ascent in the Proofs of Onsager's Reciprocal Relations

    Science.gov (United States)

    Benfenati, Francesco; Beretta, Gian Paolo

    2018-04-01

    We show that to prove the Onsager relations using the microscopic time reversibility one necessarily has to make an ergodic hypothesis, or a hypothesis closely linked to that. This is true in all the proofs of the Onsager relations in the literature: from the original proof by Onsager, to more advanced proofs in the context of linear response theory and the theory of Markov processes, to the proof in the context of the kinetic theory of gases. The only three proofs that do not require any kind of ergodic hypothesis are based on additional hypotheses on the macroscopic evolution: Ziegler's maximum entropy production principle (MEPP), the principle of time reversal invariance of the entropy production, or the steepest entropy ascent principle (SEAP).

  4. Prevention of Crime and the Optimal Standard of Proof in Criminal Law

    DEFF Research Database (Denmark)

    Lando, Henrik

    2003-01-01

    The standard of proof in criminal law a®ects retributive justice throughthe number of wrong convictions and wrong acquittals. It also a®ects thelevel of crime, since a higher standard of proof implies less deterrence andless incapacitation. This article derives an expression for the optimal...

  5. The explosion-proof container, satisfying the IAEA norms on safety

    International Nuclear Information System (INIS)

    Syrunin, M.A.; Fedorenko, A.G.; Ivanov, A.G.; Abakumov, A.I.; Nizovtsev, P.N.; Loginov, P.G.; Smolyakov, A.A.; Solov'ev, V.P.

    1998-01-01

    Safety of radioactive materials (RM) transportation is under strict control of the international norms of IAEA, aimed to ensure non-proliferation of hazardous materials in the environments. At the same time the nuclear countries use much more dangerous transportations of two types of hazardous materials. Probability of emergency explosion of high explosives (HE) during transportation and storage of such constructions is not equal to zero. HE explosion can be caused by: 1)excess of mechanical effects, allowable by the norms, on an explosive 2)lightening or fire 3)terrorist attack 4)radio controlled or time controlled mechanism in case of the terrorist device. It is obvious that an accident with explosion HE element of the nuclear weapon in an usual container, which meets the IAEA norms, but is not explosion-proof, will result in its destruction, RM dispersal, and inadmissible pollution of the environments. Therefore, it is urgent need for development of the container, which is able to withstand explosion of HE, placed in it, and to confine released RM inside of it. The experimental prototype of the load-bearing shell of the explosion-proof container (EC) can be the successfully tested spherical steel - glass plastic shell, having high-strength throats and lids. Having weight of 45-50 kg it is able to withstand internal explosion with energy more than 1.4 kg of the TNT equivalent. To preserve the explosion-proofness property in the abnormal environments during transportation, the explosion-proof container should be placed in the protective supporting transport device or the transport container (TC), consisting of the external thin-walled steel shell and the damping heat-proof layer from heat-resistant foam plastic. To justify the design parameters of such container, the tests for development and revision of the numerical model parameters were carried out. With use of this model the calculations were performed to calculate loads and the container response to 1

  6. 77 FR 15457 - Pricing for the 2012 American Eagle Silver Proof Coin

    Science.gov (United States)

    2012-03-15

    ... DEPARTMENT OF THE TREASURY United States Mint Pricing for the 2012 American Eagle Silver Proof Coin AGENCY: United States Mint, Department of the Treasury. ACTION: Notice. SUMMARY: The United States Mint is announcing the price of the 2012 American Eagle Silver Proof Coin. The coins will be offered...

  7. 76 FR 53717 - Pricing for the 2011 American Eagle Silver Proof Coin

    Science.gov (United States)

    2011-08-29

    ... DEPARTMENT OF THE TREASURY United States Mint Pricing for the 2011 American Eagle Silver Proof Coin AGENCY: United States Mint, Department of the Treasury. ACTION: Notice. SUMMARY: The United States Mint is announcing the re-pricing of the 2011 American Eagle Silver Proof Coin. The price of the coins...

  8. 76 FR 33026 - Pricing for the 2011 American Eagle Silver Proof Coin

    Science.gov (United States)

    2011-06-07

    ... DEPARTMENT OF THE TREASURY United States Mint Pricing for the 2011 American Eagle Silver Proof Coin AGENCY: United States Mint, Department of the Treasury. ACTION: Notice. SUMMARY: The United States Mint is announcing the price of the 2011 American Eagle Silver Proof Coin. The coin will be offered for...

  9. Visual operations management tools in oil pipelines and terminals standardization processes

    Energy Technology Data Exchange (ETDEWEB)

    De Ludovico Almeida, Maria Fatima [Pontifical Catholic University of Rio de Janeiro (Brazil); Santiago, Adilson; Senra Ribeiro, Kassandra; Mendonca Arruda, Daniela [Petrobras Transporte (Brazil)

    2010-07-01

    Visual operations management (VOM) takes advantage of visual cues to communicate information, simplify processes and improve the quality and safety of operations. Because of heightened competition, the importance of standardization and quality management processes has become more evident for pipeline companies. Petrobras Transporte's marine terminal units has been working over the last years to be recognized as a reference in the activities it pursues. This is based on the Petrobras Transporte's strategic plan 2020, which foresees amongst others, the specialization of technical workforce, operational safety excellence, capital discipline, customer satisfaction, the search for new technologies and markets and the rendering of new services. To achieve these goals, the Marine Terminals standardization program must be adhered to. Focusing on communication and adoption of standards and procedures, this paper describes how visual guides were conceived and implemented within Petrobras Transporte to enable operators and technicians to meet operational, environmental and occupational health and safety requirements.

  10. Validation techniques for object-oriented proof outlines

    NARCIS (Netherlands)

    Pierik, C.

    2006-01-01

    This thesis presents a proof outline logic for a simple object-oriented programming language. The language has all object-oriented features of popular programming languages like Java and C#. In particular, it supports inheritance, field shadowing, aliasing, dynamic object creation, subtype

  11. Proof of the fundamental BCJ relations for QCD amplitudes

    International Nuclear Information System (INIS)

    Cruz, Leonardo de la; Kniss, Alexander; Weinzierl, Stefan

    2015-01-01

    The fundamental BCJ-relation is a linear relation between primitive tree amplitudes with different cyclic orderings. The cyclic orderings differ by the insertion place of one gluon. The coefficients of the fundamental BCJ-relation are linear in the Lorentz invariants 2p_ip_j. The BCJ-relations are well established for pure gluonic amplitudes as well as for amplitudes in N=4 super-Yang-Mills theory. Recently, it has been conjectured that the BCJ-relations hold also for QCD amplitudes. In this paper we give a proof of this conjecture. The proof is valid for massless and massive quarks.

  12. Proof complexity of intuitionistic implicational formulas

    Czech Academy of Sciences Publication Activity Database

    Jeřábek, Emil

    2017-01-01

    Roč. 168, č. 1 (2017), s. 150-190 ISSN 0168-0072 EU Projects: European Commission(XE) 339691 - FEALORA Institutional support: RVO:67985840 Keywords : proof complexity * intuitionistic logic * implicational fragment Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.647, year: 2016 http://www.sciencedirect.com/science/article/pii/S0168007216301154

  13. A Foundational Proof Framework for Cryptography

    Science.gov (United States)

    2015-05-01

    uniformly-distributed natural numbers in [0, ) is shown in Listing 7. RndNat_h is a helper function that samples a natural number with the appro...expect that a skilled Coq developer could complete such a proof in a matter of days (though he may require the help of a cryptographer to develop the

  14. Exploring Logical Reasoning and Mathematical Proof in Grade 6 Elementary School Students

    Science.gov (United States)

    Flegas, Konstantinos; Charalampos, Lemonidis

    2013-01-01

    Research and classroom experience reveal that the construction of mathematical proofs is difficult for all students. While many contemporary mathematics curricula recognize the importance of teaching reasoning and proof, in Greece these concepts are introduced at the secondary education level. In this study, we will attempt to investigate a group…

  15. Antecedents of Customer Relationship Termination

    DEFF Research Database (Denmark)

    Geersbro, Jens; Ritter, Thomas

    To end business relationships, or to more actively terminate relationships, has long been acknowledged as part of customer relationship management. However, compared to other elements such as initiation and maintenance of relationships, little is known about the termination of business...... relationships as a managerial task. This paper contributes by (1) developing a conceptualization of relationship termination competence and (2) analyzing its antecedents. The empirical results identify termination acceptance, definition non-customers, organizational relationship termination routines......, and motivation as significant antecedents. Because of this, managers need to develop their organizations in order to use relationship termination as a vital strategy....

  16. Efficient, fair, and strategy-proof (re)allocation under network constraints

    DEFF Research Database (Denmark)

    Szwagrzak, Karol

    2017-01-01

    A resource available in different types is to be distributed or redistributed among agents differing in their ability to consume these types. Preferences over consumption levels are not observable but known to be single-peaked. We identify the only strategy-proof and efficient allocation rule...... to a new class of group strategy-proof rules. Our analysis provides a unified treatment of the applications in Bochet et al. (Theor Econ 7:395–423, 2012, J Econ Theory 148:535–562, 2013)....

  17. An arithmetic transference proof of a relative Szemer\\'edi theorem

    OpenAIRE

    Zhao, Yufei

    2013-01-01

    Recently Conlon, Fox, and the author gave a new proof of a relative Szemer\\'edi theorem, which was the main novel ingredient in the proof of the celebrated Green-Tao theorem that the primes contain arbitrarily long arithmetic progressions. Roughly speaking, a relative Szemer\\'edi theorem says that if S is a set of integers satisfying certain conditions, and A is a subset of S with positive relative density, then A contains long arithmetic progressions, and our recent results show that S only ...

  18. Quantum protocols for transference of proof of zero-knowledge systems

    OpenAIRE

    Nascimento, Jose Claudio do; Ramos, Rubens Viana

    2007-01-01

    Zero-knowledge proof system is an important protocol that can be used as a basic block for construction of other more complex cryptographic protocols. An intrinsic characteristic of a zero-knowledge systems is the assumption that is impossible for the verifier to show to a third part that he has interacted with the prover. However, it has been shown that using quantum correlations the impossibility of transferring proofs can be successfully attacked. In this work we show two new protocols for...

  19. Proponents of Creationism but not Proponents of Evolution Frame the Origins Debate in Terms of Proof

    Science.gov (United States)

    Barnes, Ralph M.; Church, Rebecca A.

    2013-03-01

    In Study 1, 72 internet documents containing creationism, ID (intelligent design), or evolution content were selected for analysis. All instances of proof cognates (the word "proof" and related terms such as "proven", "disproof", etc.) contained within these documents were identified and labeled in terms of the manner in which the terms were used. In Study 2, frequency counts for six terms (proof, evidence, establish, experiment, test, trial) were conducted on a sample of peer-reviewed research articles in the journal Science and the 72 internet documents included in Study 1. Quantitative and qualitative analyses revealed that proponents of creationism were much more likely than proponents of evolution to frame the creationism/evolution issue in terms of proof (ID proponents fell partway between the other two). Proponents of creationism frequently described empirical data favoring their position as proof of their position. Even more frequently, proponents of creationism described evolutionary scientists as being engaged in failed attempts to prove the truth of the evolutionary position. Evolution documents included fewer proof cognates than creationism or ID documents and the few proof cognates found in evolution documents were rarely used to describe the status of the theory of evolution. Qualitative data analysis indicated that proof cognates were often used to indicate certainty. The asymmetry between evolution and creationism documents was limited primarily to proof cognates; there were no major asymmetries for the terms evidence, establish, experiment, test, and trial. The results may reveal differences in the epistemological commitments of the involved parties.

  20. 29 CFR 1919.28 - Unit proof tests-cranes and gear accessory thereto.

    Science.gov (United States)

    2010-07-01

    ... 29 Labor 7 2010-07-01 2010-07-01 false Unit proof tests-cranes and gear accessory thereto. 1919.28... Loads; Heat Treatment; Competent Persons § 1919.28 Unit proof tests—cranes and gear accessory thereto. (a) Except as noted in paragraph (e) of this section, cranes and other hoisting machines, together...

  1. 77 FR 43662 - Price for the 2012 American Eagle Silver Proof Coin

    Science.gov (United States)

    2012-07-25

    ... DEPARTMENT OF THE TREASURY United States Mint Price for the 2012 American Eagle Silver Proof Coin... is lowering the price of the 2012 American Eagle Silver Proof Coin. The product will now be offered for sale at a price of $54.95. FOR FURTHER INFORMATION CONTACT: B. B. Craig, Associate Director for...

  2. Ontological Proofs of Existence and Non-Existence

    Czech Academy of Sciences Publication Activity Database

    Hájek, Petr

    2008-01-01

    Roč. 90, č. 2 (2008), s. 257-262 ISSN 0039-3215 R&D Projects: GA AV ČR IAA100300503 Institutional research plan: CEZ:AV0Z10300504 Keywords : ontological proofs * existence * non-existence * Gödel * Caramuel Subject RIV: BA - General Mathematics

  3. Common floor system vertical earthquake-proof structure for reactor equipment

    International Nuclear Information System (INIS)

    Morishita, Masaki.

    1996-01-01

    In an LMFBR type reactor, a reactor container, a recycling pump and a heat exchanger are disposed on a common floor. Vertical earthquake-proof devices which can be stretched only in vertical direction formed by laminating large-sized bellevilles are disposed on a concrete wall at the circumference of each of reactor equipments. A common floor is placed on all of the vertical earthquake-proof devices to support the entire earthquake-proof structure simultaneously. If each of reactor equipments is loaded on the common floor and the common floor is entirely supported against earthquakes altogether, since the movement of each of the reactor equipments loaded on the common floor is identical, relative dislocation is not exerted on the main pipelines which connect the equipments. In addition, since the entire earthquake structure has a flat common floor and each of the reactor equipments is suspended to minimize the distance between a gravitational center and a support point, locking vibration is less caused to the horizontal earthquake. (N.H.)

  4. TOREX-4: a torsatron proof of principle experiment

    International Nuclear Information System (INIS)

    Politzer, P.A.; Lidsky, L.M.; Montgomery, D.B.

    1979-03-01

    TOREX-4 is a torsatron Proof of Principle experiment designed to simultaneously achieve ntau approx. = to 5 x 10 13 , n approx. = to 5 x 10 14 /cm 3 , and T greater than or equal to 1 keV. TOREX-4 is capable of operating without externally driven currents; sufficient neutral beam power to reach betas of 2 to 5% is provided. The unique 4(+2) constant pitch angle winding configuration allows the reliable design of large systems with far greater experimental flexibility than can be achieved in conventional stellarators of comparable size. This will allow investigation of the basic physics questions of the torsatron configuration over a wide range of plasma properties and field configurations without sacrifice of the Proof of Principle goals

  5. Parity proofs of the Kochen–Specker theorem based on 60 complex rays in four dimensions

    International Nuclear Information System (INIS)

    Waegell, Mordecai; Aravind, P K

    2011-01-01

    It is pointed out that the 60 complex rays in four dimensions associated with a system of two qubits yield over 10 9 critical parity proofs of the Kochen–Specker theorem. The geometrical properties of the rays are described, an overview of the parity proofs contained in them is given and examples of some of the proofs are exhibited. (paper)

  6. Analogy, explanation, and proof

    Science.gov (United States)

    Hummel, John E.; Licato, John; Bringsjord, Selmer

    2014-01-01

    People are habitual explanation generators. At its most mundane, our propensity to explain allows us to infer that we should not drink milk that smells sour; at the other extreme, it allows us to establish facts (e.g., theorems in mathematical logic) whose truth was not even known prior to the existence of the explanation (proof). What do the cognitive operations underlying the inference that the milk is sour have in common with the proof that, say, the square root of two is irrational? Our ability to generate explanations bears striking similarities to our ability to make analogies. Both reflect a capacity to generate inferences and generalizations that go beyond the featural similarities between a novel problem and familiar problems in terms of which the novel problem may be understood. However, a notable difference between analogy-making and explanation-generation is that the former is a process in which a single source situation is used to reason about a single target, whereas the latter often requires the reasoner to integrate multiple sources of knowledge. This seemingly small difference poses a challenge to the task of marshaling our understanding of analogical reasoning to understanding explanation. We describe a model of explanation, derived from a model of analogy, adapted to permit systematic violations of this one-to-one mapping constraint. Simulation results demonstrate that the resulting model can generate explanations for novel explananda and that, like the explanations generated by human reasoners, these explanations vary in their coherence. PMID:25414655

  7. Analogy, Explanation, and Proof

    Directory of Open Access Journals (Sweden)

    John eHummel

    2014-11-01

    Full Text Available People are habitual explanation generators. At its most mundane, our propensity to explain allows us to infer that we should not drink milk that smells sour; at the other extreme, it allows us to establish facts (e.g., theorems in mathematical logic whose truth was not even known prior to the existence of the explanation (proof. What do the cognitive operations underlying the (inductive inference that the milk is sour have in common with the (deductive proof that, say, the square root of two is irrational? Our ability to generate explanations bears striking similarities to our ability to make analogies. Both reflect a capacity to generate inferences and generalizations that go beyond the featural similarities between a novel problem and familiar problems in terms of which the novel problem may be understood. However, a notable difference between analogy-making and explanation-generation is that the former is a process in which a single source situation is used to reason about a single target, whereas the latter often requires the reasoner to integrate multiple sources of knowledge. This small-seeming difference poses a challenge to the task of marshaling our understanding of analogical reasoning in the service of understanding explanation. We describe a model of explanation, derived from a model of analogy, adapted to permit systematic violations of this one-to-one mapping constraint. Simulation results demonstrate that the resulting model can generate explanations for novel explananda and that, like the explanations generated by human reasoners, these explanations vary in their coherence.

  8. Wireless Sensors Grouping Proofs for Medical Care and Ambient Assisted-Living Deployment.

    Science.gov (United States)

    Trček, Denis

    2016-01-02

    Internet of Things (IoT) devices are rapidly penetrating e-health and assisted living domains, and an increasing proportion among them goes on the account of computationally-weak devices, where security and privacy provisioning alone are demanding tasks, not to mention grouping proofs. This paper, therefore, gives an extensive analysis of such proofs and states lessons learnt to avoid possible pitfalls in future designs. It sticks with prudent engineering techniques in this field and deploys in a novel way the so called non-deterministic principle to provide not only grouping proofs, but (among other) also privacy. The developed solution is analyzed by means of a tangible metric and it is shown to be lightweight, and formally for security.

  9. Modeling and experimental verification of proof mass effects on vibration energy harvester performance

    International Nuclear Information System (INIS)

    Kim, Miso; Hoegen, Mathias; Dugundji, John; Wardle, Brian L

    2010-01-01

    An electromechanically coupled model for a cantilevered piezoelectric energy harvester with a proof mass is presented. Proof masses are essential in microscale devices to move device resonances towards optimal frequency points for harvesting. Such devices with proof masses have not been rigorously modeled previously; instead, lumped mass or concentrated point masses at arbitrary points on the beam have been used. Thus, this work focuses on the exact vibration analysis of cantilevered energy harvester devices including a tip proof mass. The model is based not only on a detailed modal analysis, but also on a thorough investigation of damping ratios that can significantly affect device performance. A model with multiple degrees of freedom is developed and then reduced to a single-mode model, yielding convenient closed-form normalized predictions of device performance. In order to verify the analytical model, experimental tests are undertaken on a macroscale, symmetric, bimorph, piezoelectric energy harvester with proof masses of different geometries. The model accurately captures all aspects of the measured response, including the location of peak-power operating points at resonance and anti-resonance, and trends such as the dependence of the maximal power harvested on the frequency. It is observed that even a small change in proof mass geometry results in a substantial change of device performance due not only to the frequency shift, but also to the effect on the strain distribution along the device length. Future work will include the optimal design of devices for various applications, and quantification of the importance of nonlinearities (structural and piezoelectric coupling) for device performance

  10. A short proof that phylogenetic tree reconstruction by maximum likelihood is hard.

    Science.gov (United States)

    Roch, Sebastien

    2006-01-01

    Maximum likelihood is one of the most widely used techniques to infer evolutionary histories. Although it is thought to be intractable, a proof of its hardness has been lacking. Here, we give a short proof that computing the maximum likelihood tree is NP-hard by exploiting a connection between likelihood and parsimony observed by Tuffley and Steel.

  11. A Short Proof that Phylogenetic Tree Reconstruction by Maximum Likelihood is Hard

    OpenAIRE

    Roch, S.

    2005-01-01

    Maximum likelihood is one of the most widely used techniques to infer evolutionary histories. Although it is thought to be intractable, a proof of its hardness has been lacking. Here, we give a short proof that computing the maximum likelihood tree is NP-hard by exploiting a connection between likelihood and parsimony observed by Tuffley and Steel.

  12. Proof of cipher text ownership based on convergence encryption

    Science.gov (United States)

    Zhong, Weiwei; Liu, Zhusong

    2017-08-01

    Cloud storage systems save disk space and bandwidth through deduplication technology, but with the use of this technology has been targeted security attacks: the attacker can get the original file just use hash value to deceive the server to obtain the file ownership. In order to solve the above security problems and the different security requirements of cloud storage system files, an efficient information theory security proof of ownership scheme is proposed. This scheme protects the data through the convergence encryption method, and uses the improved block-level proof of ownership scheme, and can carry out block-level client deduplication to achieve efficient and secure cloud storage deduplication scheme.

  13. Voluntary termination of pregnancy (medical or surgical abortion: forensic medicine issues

    Directory of Open Access Journals (Sweden)

    Piras Mauro

    2016-01-01

    Full Text Available In Italy, Law 194 of 22 May 1978 provides for and regulates the voluntary termination of pregnancy (VTP. Medical abortion became popular nationwide after Mifepristone (RU-486 was authorized for the market by AIFA (Italian Drug Agency in July 2009. We searched articles in medical literature database with these terms: “medical abortion”, “RU486”, “surgical abortion”. We also searched laws and judgments concerning abortion in national legal databases. Ministerial guidelines were searched on official website of Italian Ministry of Health. We found many medical studies about medical and surgical abortion. We found also ministerial and regional guidelines, which were analyzed. From the point of view of legal medicine, the issues related to abortion with the pharmacological method consist in verifying compatibility and consistency with the safety principles and the parameters imposed by Law n. 194 of 1978, using off-label Misoprostol, what inpatient care should be used and informed consent. The doctor’s job is to provide the patient with comprehensive and clear information about how the procedure will be performed, any complications and the time period needed for both procedures.

  14. 27 CFR 30.32 - Determination of proof obscuration.

    Science.gov (United States)

    2010-04-01

    ... added to the temperature corrected hydrometer reading will give the true proof. (c) Distillation method... use of a precision hydrometer and thermometer in accordance with the provisions of § 13.23 to the...

  15. PROOF on the Cloud for ALICE using PoD and OpenNebula

    International Nuclear Information System (INIS)

    Berzano, D; Bagnasco, S; Brunetti, R; Lusso, S

    2012-01-01

    In order to optimize the use and management of computing centres, their conversion to cloud facilities is becoming increasingly popular. In a medium to large cloud facility, many different virtual clusters may concur for the same resources: unused resources can be freed either by turning off idle virtual machines, or by lowering resources assigned to a virtual machine at runtime. PROOF, a ROOT-based parallel and interactive analysis framework, is officially endorsed in the computing model of the ALICE experiment as complementary to the Grid, and it has become very popular over the last three years. The locality of PROOF-based analysis facilities forces system administrators to scavenge resources, yet the chaotic nature of user analysis tasks deems them unstable and inconstantly used, making PROOF a typical use-case for HPC cloud computing. Currently, PoD dynamically and easily provides a PROOF-enabled cluster by submitting agents to a job scheduler. Unfortunately, a Tier-2 does not comfortably share the same queue between interactive and batch jobs, due to the very large average time to completion of the latter: an elastic cloud approach would enable interactive virtual machines to temporarily subtract resources to the batch ones, without a noticeable impact on them. In this work we describe our setup of a dynamic PROOF-based cloud analysis facility based on PoD and OpenNebula, orchestrated by a simple and lightweight control daemon that makes virtualization transparent for the user.

  16. Proofs of Contracted Length Non-covariance

    International Nuclear Information System (INIS)

    Strel'tsov, V.N.

    1994-01-01

    Different proofs of contracted length non covariance are discussed. The way based on the establishment of interval inconstancy (dependence on velocity) seems to be the most convincing one. It is stressed that the known non covariance of the electromagnetic field energy and momentum of a moving charge ('the problem 4/3') is a direct consequence of contracted length non covariance. 8 refs

  17. Calibration Device Designed for proof ring used in SCC Experiment

    Science.gov (United States)

    Hu, X. Y.; Kang, Z. Y.; Yu, Y. L.

    2017-11-01

    In this paper, a calibration device for proof ring used in SCC (Stress Corrosion Cracking) experiment was designed. A compact size loading device was developed to replace traditional force standard machine or a long screw nut. The deformation of the proof ring was measured by a CCD (Charge-Coupled Device) during the calibration instead of digital caliper or a dial gauge. The calibration device was verified at laboratory that the precision of force loading is ±0.1% and the precision of deformation measurement is ±0.002mm.

  18. 7 CFR 1430.605 - Proof of production.

    Science.gov (United States)

    2010-01-01

    ... establish the commercial marketing and production history of the dairy operation so that dairy production...) Adequate proof of production history of the dairy operation under paragraph (b) of this section must be based on milk marketing statements obtained from the dairy operation's milk handler or marketing...

  19. LNG TERMINAL SAFE OPERATION MANAGEMENT

    Directory of Open Access Journals (Sweden)

    Andrzej ADAMKIEWICZ

    2012-07-01

    Full Text Available This article presents the significance of LNG terminal safety issues in natural gas sea transport. It shows particular requirements for LNG transmission installations resulting from the specific properties of LNG. Out of the multi‐layer critical safety areas comprising structural elements of the terminal safety system, possibilities to decrease the risk of emergency occurrence on LNG terminals have been selected. Tasks performed by the LNG terminal, together with its own personnel and the outside one, have been defined. General theses for LNG terminal safety have been formulated.

  20. Earthquake-proof supporting structure in reactor vessel

    International Nuclear Information System (INIS)

    Sakurai, Akio; Sekine, Katsuhisa; Madokoro, Manabu; Katoono, Shin-ichi; Konno, Mutsuo; Suzuki, Takuro.

    1990-01-01

    Conventional earthquake-proof structure comprises a vessel vibration stopper integrated to a reactor vessel, powder for restricting the horizontal displacements, a safety vessel surrounds the outer periphery of the reactor vessel and a safety vessel vibration stopper integrated therewith, which are fixed to buildings. However, there was a problem that a great amount of stresses are generated in the base of the reactor vessel vibration stopper due to reaction of the powders which restrict thermal expansion. In order to remarkably reduce the reaction of the powers, powders are charged into a spaces formed between each of the reactor vessel vibration stopper, the safety vessel vibration stopper and the flexible member disposed between them. According to this constitution, the reactor vessel vibration stopper does not undergo a great reaction of the powers upon thermal expansion of the reactor vessel to moderate the generated stresses, maintain the strength and provide earthquake-proof supporting function. (N.H.)

  1. Efficient proof of ownership for cloud storage systems

    Science.gov (United States)

    Zhong, Weiwei; Liu, Zhusong

    2017-08-01

    Cloud storage system through the deduplication technology to save disk space and bandwidth, but the use of this technology has appeared targeted security attacks: the attacker can deceive the server to obtain ownership of the file by get the hash value of original file. In order to solve the above security problems and the different security requirements of the files in the cloud storage system, an efficient and information-theoretical secure proof of ownership sceme is proposed to support the file rating. Through the K-means algorithm to implement file rating, and use random seed technology and pre-calculation method to achieve safe and efficient proof of ownership scheme. Finally, the scheme is information-theoretical secure, and achieve better performance in the most sensitive areas of client-side I/O and computation.

  2. 76 FR 65563 - Pricing for 2011 American Eagle Silver Proof and Uncirculated Coins

    Science.gov (United States)

    2011-10-21

    ... DEPARTMENT OF THE TREASURY United States Mint Pricing for 2011 American Eagle Silver Proof and Uncirculated Coins AGENCY: United States Mint, Department of the Treasury. ACTION: Notice. SUMMARY: The United States Mint is announcing the re-pricing of the 2011 American Eagle Silver Proof and Uncirculated Coins...

  3. An Efficient Energy Constraint Based UAV Path Planning for Search and Coverage

    Directory of Open Access Journals (Sweden)

    German Gramajo

    2017-01-01

    Full Text Available A path planning strategy for a search and coverage mission for a small UAV that maximizes the area covered based on stored energy and maneuverability constraints is presented. The proposed formulation has a high level of autonomy, without requiring an exact choice of optimization parameters, and is appropriate for real-time implementation. The computed trajectory maximizes spatial coverage while closely satisfying terminal constraints on the position of the vehicle and minimizing the time of flight. Comparisons of this formulation to a path planning algorithm based on those with time constraint show equivalent coverage performance but improvement in prediction of overall mission duration and accuracy of the terminal position of the vehicle.

  4. Nonleaking battery terminals.

    Science.gov (United States)

    Snider, W. E.; Nagle, W. J.

    1972-01-01

    Three different terminals were designed for usage in a 40 ampere/hour silver zinc battery which has a 45% KOH by weight electrolyte in a plastic battery case. Life tests, including thermal cycling, electrical charge and discharge for up to three years duration, were conducted on these three different terminal designs. Tests for creep rate and tensile strength were conducted on the polyphenylene oxide plastic battery cases. Some cases were unused and others containing KOH electrolyte were placed on life tests. The design and testing of nonleaking battery terminals for use with a KOH electrolyte in a plastic case are considered.

  5. Wireless Sensors Grouping Proofs for Medical Care and Ambient Assisted-Living Deployment

    Directory of Open Access Journals (Sweden)

    Denis Trček

    2016-01-01

    Full Text Available Internet of Things (IoT devices are rapidly penetrating e-health and assisted living domains, and an increasing proportion among them goes on the account of computationally-weak devices, where security and privacy provisioning alone are demanding tasks, not to mention grouping proofs. This paper, therefore, gives an extensive analysis of such proofs and states lessons learnt to avoid possible pitfalls in future designs. It sticks with prudent engineering techniques in this field and deploys in a novel way the so called non-deterministic principle to provide not only grouping proofs, but (among other also privacy. The developed solution is analyzed by means of a tangible metric and it is shown to be lightweight, and formally for security.

  6. 6 CFR 27.325 - Burden of proof.

    Science.gov (United States)

    2010-01-01

    ... 6 Domestic Security 1 2010-01-01 2010-01-01 false Burden of proof. 27.325 Section 27.325 Domestic Security DEPARTMENT OF HOMELAND SECURITY, OFFICE OF THE SECRETARY CHEMICAL FACILITY ANTI-TERRORISM... burden of proving the facts necessary to support the challenged administrative action at every proceeding...

  7. 20 CFR 726.312 - Burdens of proof.

    Science.gov (United States)

    2010-04-01

    ... 20 Employees' Benefits 3 2010-04-01 2010-04-01 false Burdens of proof. 726.312 Section 726.312 Employees' Benefits EMPLOYMENT STANDARDS ADMINISTRATION, DEPARTMENT OF LABOR FEDERAL COAL MINE HEALTH AND SAFETY ACT OF 1969, AS AMENDED BLACK LUNG BENEFITS; REQUIREMENTS FOR COAL MINE OPERATOR'S INSURANCE Civil...

  8. 7 CFR 1430.305 - Proof of production.

    Science.gov (United States)

    2010-01-01

    ... commercial marketing and production history of the dairy operation so that production and spoilage losses can... dairy herd increases or decreases to the satisfaction of FSA. (c) Adequate proof of production history of the dairy operation under paragraph (b) of this section must be based on milk marketing statements...

  9. 31 CFR 341.4 - Proof of purchase.

    Science.gov (United States)

    2010-07-01

    ... 31 Money and Finance: Treasury 2 2010-07-01 2010-07-01 false Proof of purchase. 341.4 Section 341.4 Money and Finance: Treasury Regulations Relating to Money and Finance (Continued) FISCAL SERVICE... of birth, social security account number and his classification (i.e., self-employed individual or...

  10. A Coordinate-Based Proof of the Scallop Theorem

    OpenAIRE

    Ishimoto, Kenta; Yamada, Michio

    2012-01-01

    We reconsider fluid dynamics for a self-propulsive swimmer in Stokes flow. With an exact definition of deformation of a swimmer, a coordinate-based proof is first given to Purcell's scallop theorem including the body rotation.

  11. A proof of the Kochen–Specker theorem can always be converted to a state-independent noncontextuality inequality

    International Nuclear Information System (INIS)

    Yu, Xiao-Dong; Tong, D M; Guo, Yan-Qing

    2015-01-01

    Quantum contextuality is one of the fundamental notions in quantum mechanics. Proofs of the Kochen–Specker theorem and noncontextuality inequalities are two means for revealing the contextuality phenomenon in quantum mechanics. It has been found that some proofs of the Kochen-Specker theorem, such as those based on rays, can be converted to a state-independent noncontextuality inequality, but it remains open whether this is true in general, i.e., whether any proof of the Kochen-Specker theorem can always be converted to a noncontextuality inequality. In this paper, we address this issue. We prove that all kinds of proofs of the Kochen-Specker theorem, based on rays or any other observables, can always be converted to state-independent noncontextuality inequalities. Besides, our constructive proof also provides a general approach for deriving a state-independent noncontextuality inequality from a proof of the KS theorem. (paper)

  12. Another short and elementary proof of strong subadditivity of quantum entropy

    Science.gov (United States)

    Ruskai, Mary Beth

    2007-08-01

    A short and elementary proof of the joint convexity of relative entropy is presented, using nothing beyond linear algebra. The key ingredients are an easily verified integral representation and the strategy used to prove the Cauchy-Schwarz inequality in elementary courses. Several consequences are proved in a way which allows an elementary proof of strong subadditivity in a few more lines. Some expository material on Schwarz inequalities for operators and the Holevo bound for partial measurements is also included.

  13. The Proof of the Heir Quality in the New Civil Code

    Directory of Open Access Journals (Sweden)

    Ilioara Genoiu

    2011-05-01

    Full Text Available Similar to the Civil Code in force, Law no. 287/2009 regarding the Civil Code, published in theOfficial Gazette, but whose date of entry in force has not been established yet, regulates, as a main proof ofthe heir quality, the heir certificate. Like de lege lata the proof of the heir quality may be realised, integratedin the petition of heredity, and by other means of evidence. In the present paper we aim to analyze theproblem of the heir quality’s proof, under all its aspects in the light of the Law no. 287/2009 and to reveal thenovelties brought by this governmental decree in the matter subjected to our analysis and to appreciate uponits correctness. We consider our scientific approach, through which we intend to contribute to the knowledgeof the new Civil Code dispositions on successional matter, until its entry in force, is current and useful.

  14. Difference between the Approach of Aristotle and Avicenna in Proof of the Existence of God

    Directory of Open Access Journals (Sweden)

    Mohammad Saeedimehr

    2012-04-01

    Full Text Available Comparing between approach of Aristotle and Avicenna in proof of the existence of God, is a sign of basic difference between Peripatetic idea of Aristotle and Avicenna, also the different way that has been gone in the Muslim world compared to the west, in proof of the existence of God.   Aristotle in “Philosophies”, has been mentioned to the two arguments: "degrees of perfection argument" and "teleological argument", but his main argument on the existence of God, is “the argument from motion” that has explained details of it in the Lambda Book of Metaphysics and Physics. Each of the three above arguments has a cosmological approach and is categorized as the posteriori arguments.   For Avicenna, acceptance of that Aristotle had wanted to prove the existence of God by natural things, such as world motion, is very hard. According to this thinking, he focused all his efforts on not using the cosmological arguments to prove the existence of God. Avicenna used “the proof of middle and the end” and “the proof from contingency and necessity” in several of his books and his latest exposition of the proof from contingency and necessity has named “proof of the truthful”. His argument is ontological and priori too.

  15. Difference between the Approach of Aristotle and Avicenna in Proof of the Existence of God

    Directory of Open Access Journals (Sweden)

    Saleh Tayebnia, M

    2012-01-01

    Full Text Available Comparing between approach of Aristotle and Avicenna in proof of the existence of God, is a sign of basic difference between Peripatetic idea of Aristotle and Avicenna, also the different way that has been gone in the Muslim world compared to the west, in proof of the existence of God.Aristotle in “On Philosophies”, has been mentioned to the two arguments: "degrees of perfection argument" and "teleological argument", but his main argument on the existence of God, is “the argument from motion” that has explained details of it in the Lambda Book of Metaphysics and Physics. Each of the three above arguments has a cosmological approach and is categorized as the posteriori arguments.For Avicenna, acceptance of that Aristotle had wanted to prove the existence of God by natural things, such as world motion, is very hard. According to this thinking, he focused all his efforts on not using the cosmological arguments to prove the existence of God. Avicenna used “the proof of middle and the end” and “the proof from contingency and necessity” in several of his books and his latest exposition of the proof from contingency and necessity has named “proof of the truthful”. His argument is ontological and priori too

  16. Difference between the Approach of Aristotle and Avicenna in Proof of the Existence of God

    Directory of Open Access Journals (Sweden)

    Mohammadsaleh Tayebnia

    2012-05-01

    Full Text Available   Comparing between approach of Aristotle and Avicenna in proof of the existence of God, is a sign of basic difference between Peripatetic idea of Aristotle and Avicenna, also the different way that has been gone in the Muslim world compared to the west, in proof of the existence of God.   Aristotle in “Philosophies”, has been mentioned to the two arguments: "degrees of perfection argument" and "teleological argument", but his main argument on the existence of God, is “the argument from motion” that has explained details of it in the Lambda Book of Metaphysics and Physics. Each of the three above arguments has a cosmological approach and is categorized as the posteriori arguments.   For Avicenna, acceptance of that Aristotle had wanted to prove the existence of God by natural things, such as world motion, is very hard. According to this thinking, he focused all his efforts on not using the cosmological arguments to prove the existence of God. Avicenna used “the proof of middle and the end” and “the proof from contingency and necessity” in several of his books and his latest exposition of the proof from contingency and necessity has named “proof of the truthful”. His argument is ontological and priori too.

  17. READ-EVAL-PRINT in Parallel and Asynchronous Proof-checking

    Directory of Open Access Journals (Sweden)

    Makarius Wenzel

    2013-07-01

    Full Text Available The LCF tradition of interactive theorem proving, which was started by Milner in the 1970-ies, appears to be tied to the classic READ-EVAL-PRINT-LOOP of sequential and synchronous evaluation of prover commands. We break up this loop and retrofit the read-eval-print phases into a model of parallel and asynchronous proof processing. Thus we explain some key concepts of the Isabelle/Scala approach to prover interaction and integration, and the Isabelle/jEdit Prover IDE as front-end technology. We hope to open up the scientific discussion about non-trivial interaction models for ITP systems again, and help getting other old-school proof assistants on a similar track.

  18. 26 CFR 1.534-1 - Burden of proof as to unreasonable accumulations generally.

    Science.gov (United States)

    2010-04-01

    ... (CONTINUED) INCOME TAX (CONTINUED) INCOME TAXES (CONTINUED) Corporations Used to Avoid Income Tax on Shareholders § 1.534-1 Burden of proof as to unreasonable accumulations generally. For purposes of applying the... under section 535(c)(1), the burden of proof with respect to an allegation by the Commissioner that all...

  19. 77 FR 69548 - Price for the 2012 Limited Edition Silver Proof SetTM

    Science.gov (United States)

    2012-11-19

    ... DEPARTMENT OF THE TREASURY United States Mint Price for the 2012 Limited Edition Silver Proof Set TM AGENCY: United States Mint, Department of the Treasury. ACTION: Notice. SUMMARY: The United States Mint is announcing a price of $149.95 for the 2012 Limited Edition Silver Proof Set TM . FOR FURTHER...

  20. A search for symmetries in the genetic code

    International Nuclear Information System (INIS)

    Hornos, J.E.M.; Hornos, Y.M.M.

    1991-01-01

    A search for symmetries based on the classification theorem of Cartan for the compact simple Lie algebras is performed to verify to what extent the genetic code is a manifestation of some underlying symmetry. An exact continuous symmetry group cannot be found to reproduce the present, universal code. However a unique approximate symmetry group is compatible with codon assignment for the fundamental amino acids and the termination codon. In order to obtain the actual genetic code, the symmetry must be slightly broken. (author). 27 refs, 3 figs, 6 tabs

  1. Intrinsic terminators in Mycoplasma hyopneumoniae transcription.

    Science.gov (United States)

    Fritsch, Tiago Ebert; Siqueira, Franciele Maboni; Schrank, Irene Silveira

    2015-04-08

    Mycoplasma hyopneumoniae, an important pathogen of swine, exhibits a low guanine and cytosine (GC) content genome. M. hyopneumoniae genome is organised in long transcriptional units and promoter sequences have been mapped upstream of all transcription units. These analysis provided insights into the gene organisation and transcription initiation at the genome scale. However, the presence of transcriptional terminator sequences in the M. hyopneumoniae genome is poorly understood. In silico analyses demonstrated the presence of putative terminators in 82% of the 33 monocistronic units (mCs) and in 74% of the 116 polycistronic units (pCs) considering different classes of terminators. The functional activity of 23 intrinsic terminators was confirmed by RT-PCR and qPCR. Analysis of all terminators found by three software algorithms, combined with experimental results, allowed us to propose a pattern of RNA hairpin formation during the termination process and to predict the location of terminators in the M. hyopneumoniae genome sequence. The stem-loop structures of intrinsic terminators of mycoplasma diverge from the pattern of terminators found in other bacteria due the low content of guanine and cytosine. In M. hyopneumoniae, transcription can end after a transcriptional unit and before its terminator sequence and can also continue past the terminator sequence with RNA polymerases gradually releasing the RNA.

  2. Proof of Nishida's Conjecture on Anharmonic Lattices

    Science.gov (United States)

    Rink, Bob

    2006-02-01

    We prove Nishida's 1971 conjecture stating that almost all low-energetic motions of the anharmonic Fermi-Pasta-Ulam lattice with fixed endpoints are quasi-periodic. The proof is based on the formal computations of Nishida, the KAM theorem, discrete symmetry considerations and an algebraic trick that considerably simplifies earlier results.

  3. Complexity of Propositional Proofs Under a Promise

    Czech Academy of Sciences Publication Activity Database

    Dershowitz, N.; Tzameret, Iddo

    2010-01-01

    Roč. 11, č. 3 (2010), s. 1-29 ISSN 1529-3785 Institutional research plan: CEZ:AV0Z10190503 Keywords : theory * promise problems * propositional proof complexity * random 3CNF * resolution Subject RIV: BA - General Mathematics Impact factor: 1.391, year: 2010 http://dl.acm.org/ citation .cfm?doid=1740582.1740586

  4. Complexity of Propositional Proofs Under a Promise

    Czech Academy of Sciences Publication Activity Database

    Dershowitz, N.; Tzameret, Iddo

    2010-01-01

    Roč. 11, č. 3 (2010), s. 1-29 ISSN 1529-3785 Institutional research plan: CEZ:AV0Z10190503 Keywords : theory * promise problems * propositional proof complexity * random 3CNF * resolution Subject RIV: BA - General Mathematics Impact factor: 1.391, year: 2010 http://dl.acm.org/citation.cfm?doid=1740582.1740586

  5. Teaching Syllogistics Through Gamification and Interactive Proofs

    DEFF Research Database (Denmark)

    Øhrstrøm, Peter; Sandborg-Petersen, Ulrik; Thorvaldsen, Steinar

    2015-01-01

    teaching through the use of interactive systems and also to do learning analytics based on the log-data from the use of the systems. The aim of the present paper is to investigate whether the use of gamification and an interactive proof system formulated in terms of controlled natural language can...

  6. The State of Proof in Finnish and Swedish Mathematics Textbooks--Capturing Differences in Approaches to Upper-Secondary Integral Calculus

    Science.gov (United States)

    Bergwall, Andreas; Hemmi, Kirsti

    2017-01-01

    Students' difficulties with proof, scholars' calls for proof to be a consistent part of K-12 mathematics, and the extensive use of textbooks in mathematics classrooms motivate investigations on how proof-related items are addressed in mathematics textbooks. We contribute to textbook research by focusing on opportunities to learn proof-related…

  7. A Comparison of Single-Cycle Versus Multiple-Cycle Proof Testing Strategies

    Science.gov (United States)

    McClung, R. C.; Chell, G. G.; Millwater, H. R.; Russell, D. A.; Millwater, H. R.

    1999-01-01

    Single-cycle and multiple-cycle proof testing (SCPT and MCPT) strategies for reusable aerospace propulsion system components are critically evaluated and compared from a rigorous elastic-plastic fracture mechanics perspective. Earlier MCPT studies are briefly reviewed. New J-integral estimation methods for semielliptical surface cracks and cracks at notches are derived and validated. Engineering methods are developed to characterize crack growth rates during elastic-plastic fatigue crack growth (FCG) and the tear-fatigue interaction near instability. Surface crack growth experiments are conducted with Inconel 718 to characterize tearing resistance, FCG under small-scale yielding and elastic-plastic conditions, and crack growth during simulated MCPT. Fractography and acoustic emission studies provide additional insight. The relative merits of SCPT and MCPT are directly compared using a probabilistic analysis linked with an elastic-plastic crack growth computer code. The conditional probability of failure in service is computed for a population of components that have survived a previous proof test, based on an assumed distribution of initial crack depths. Parameter studies investigate the influence of proof factor, tearing resistance, crack shape, initial crack depth distribution, and notches on the MCPT versus SCPT comparison. The parameter studies provide a rational basis to formulate conclusions about the relative advantages and disadvantages of SCPT and MCPT. Practical engineering guidelines are proposed to help select the optimum proof test protocol in a given application.

  8. Specification Improvement Through Analysis of Proof Structure (SITAPS): High Assurance Software Development

    Science.gov (United States)

    2016-02-01

    proof in mathematics. For example, consider the proof of the Pythagorean Theorem illustrated at: http://www.cut-the-knot.org/ pythagoras / where 112...methods and tools have made significant progress in their ability to model software designs and prove correctness theorems about the systems modeled...assumption criticality” or “ theorem root set size” SITAPS detects potentially brittle verification cases. SITAPS provides tools and techniques that

  9. PROOF as a Service on the Cloud: a Virtual Analysis Facility based on the CernVM ecosystem

    CERN Document Server

    Berzano, Dario; Buncic, Predrag; Charalampidis, Ioannis; Ganis, Gerardo; Lestaris, Georgios; Meusel, René

    2014-01-01

    PROOF, the Parallel ROOT Facility, is a ROOT-based framework which enables interactive parallelism for event-based tasks on a cluster of computing nodes. Although PROOF can be used simply from within a ROOT session with no additional requirements, deploying and configuring a PROOF cluster used to be not as straightforward. Recently great efforts have been spent to make the provisioning of generic PROOF analysis facilities with zero configuration, with the added advantages of positively affecting both stability and scalability, making the deployment operations feasible even for the end user. Since a growing amount of large-scale computing resources are nowadays made available by Cloud providers in a virtualized form, we have developed the Virtual PROOF-based Analysis Facility: a cluster appliance combining the solid CernVM ecosystem and PoD (PROOF on Demand), ready to be deployed on the Cloud and leveraging some peculiar Cloud features such as elasticity. We will show how this approach is effective both for sy...

  10. The CIFF proof procedure for abductive logic programming with constraints: Theory, implementation and experiments

    NARCIS (Netherlands)

    Mancarella, P.; Terreni, G.; Sadri, F.; Toni, F.; Endriss, U.

    2009-01-01

    We present the CIFF proof procedure for abductive logic programming with constraints, and we prove its correctness. CIFF is an extension of the IFF proof procedure for abductive logic programming, relaxing the original restrictions over variable quantification (allowedness conditions) and

  11. LNG TERMINAL SAFE OPERATION MANAGEMENT

    OpenAIRE

    Andrzej ADAMKIEWICZ; Włodzimierz KAMIŃSKI

    2012-01-01

    This article presents the significance of LNG terminal safety issues in natural gas sea transport. It shows particular requirements for LNG transmission installations resulting from the specific properties of LNG. Out of the multi‐layer critical safety areas comprising structural elements of the terminal safety system, possibilities to decrease the risk of emergency occurrence on LNG terminals have been selected. Tasks performed by the LNG terminal, together with its own personnel and the out...

  12. 26 CFR 301.7454-2 - Burden of proof in foundation manager, etc. cases.

    Science.gov (United States)

    2010-04-01

    ... 26 Internal Revenue 18 2010-04-01 2010-04-01 false Burden of proof in foundation manager, etc... Actions by the United States § 301.7454-2 Burden of proof in foundation manager, etc. cases. (a) Foundation manager. In any proceeding involving the issue whether a foundation manager as defined in section...

  13. A Simple Proof of Cauchy's Surface Area Formula

    OpenAIRE

    Tsukerman, Emmanuel; Veomett, Ellen

    2016-01-01

    We give a short and simple proof of Cauchy's surface area formula, which states that the average area of a projection of a convex body is equal to its surface area up to a multiplicative constant in the dimension.

  14. 76 FR 15047 - Pricing for 2010 United States Mint America the Beautiful Quarters Silver Proof SetTM

    Science.gov (United States)

    2011-03-18

    ... DEPARTMENT OF THE TREASURY United States Mint Pricing for 2010 United States Mint America the Beautiful Quarters Silver Proof Set\\TM\\, etc. ACTION: Pricing for 2010 United States Mint America the Beautiful Quarters Silver Proof Set TM ; 2010 United States Mint Silver Proof Set TM ; 2011 United States...

  15. Termination unit

    Energy Technology Data Exchange (ETDEWEB)

    Traeholt, Chresten; Willen, Dag; Roden, Mark; Tolbert, Jerry C.; Lindsay, David; Fisher, Paul W.; Nielsen, Carsten Thidemann

    2016-05-03

    Cable end section comprises end-parts of N electrical phases/neutral, and a thermally-insulation envelope comprising cooling fluid. The end-parts each comprises a conductor and are arranged with phase 1 innermost, N outermost surrounded by the neutral, electrical insulation being between phases and N and neutral. The end-parts comprise contacting surfaces located sequentially along the longitudinal extension of the end-section. A termination unit has an insulating envelope connected to a cryostat, special parts at both ends comprising an adapter piece at the cable interface and a closing end-piece terminating the envelope in the end-section. The special parts houses an inlet and/or outlet for cooling fluid. The space between an inner wall of the envelope and a central opening of the cable is filled with cooling fluid. The special part at the end connecting to the cryostat houses an inlet or outlet, splitting cooling flow into cable annular flow and termination annular flow.

  16. The Ability of Students’ Mathematical Proof in Determining the Validity of Argument Reviewed from Gender Differences

    Science.gov (United States)

    Feriyanto

    2018-01-01

    This research aims to describe the ability of students’ mathematical proof in determining the validity of argument reviewed from gender differences. The subjects of this research were one male and one female student of the fifth semester of Mathematic Education study program. The subjects were selected based on the highest mathematics ability which was assesed from their previous assignments and tests. In addition, the communication ability of the subjects was also considered in order to facilitate the researcher in conducting interviews. Based on the result of the test with direct and indirect proof, it could be concluded that the subjects were able to: 1) mention all facts/premises and write about what should be shown (conclusion) in direct proof and write additional premise in indirect proof; 2) connect facts/premises to concepts which must be mastered; 3) use equivalent concept to manipulate and organize the proof; 4) use the concept of syllogism and tollens mode to obtain the desired conclusion; 5) construct mathematical evidence systematically, and logically; 6) complement the reason for each step appropriately. The difference was that the male subject wrote the final conclusion, while the female subject did not write the final conclusion on the proof.

  17. A simple proof of the existence of adiabatic invariants for perturbed reversible problems

    International Nuclear Information System (INIS)

    Chartier, P; Faou, E

    2008-01-01

    In this paper, we give a simple proof of the existence of invariants for reversible perturbations of action-angle systems. The originality of this proof is that it does not rely on canonical transformations that bring the system gradually closer to a normal form, but rather on a formal development of the invariant itself

  18. Yet another proof of Hawking and Ellis's Lemma 8.5.5

    International Nuclear Information System (INIS)

    Krasnikov, S

    2014-01-01

    The fact that the null generators of a future Cauchy horizon are past-complete was first proved by Hawking and Ellis (1973 The Large Scale Structure of Spacetime (Cambridge: Cambridge University Press)). Then, Budzyński, Kondracki and Królak outlined a proof free from the error found in the original one (2000 New properties of Cauchy and event horizons arXiv:gr-qc/0011033). Now, Minguzzi has published his version of the proof (2014 J. Math. Phys. 55 082503), patching a previously unnoticed hole in the preceding two. I am not aware of any flaws in that last proof, but it is quite difficult. In this note, I present a simpler one. (note)

  19. The Failure to Construct Proof Based on Assimilation and Accommodation Framework from Piaget

    Science.gov (United States)

    Netti, Syukma; Nusantara, Toto; Subanji; Abadyo; Anwar, Lathiful

    2016-01-01

    The purpose of this article is to describe the process of a proof construction. It is more specific on the failure of the process. Piaget's frameworks, assimilation and accommodation, were used to analyze it. Method of this research was qualitative method. Data were collected by asking five students working on problems of proof using think aloud…

  20. 33 CFR 25.117 - Proof of amount claimed for personal injury or death.

    Science.gov (United States)

    2010-07-01

    ... 33 Navigation and Navigable Waters 1 2010-07-01 2010-07-01 false Proof of amount claimed for personal injury or death. 25.117 Section 25.117 Navigation and Navigable Waters COAST GUARD, DEPARTMENT OF HOMELAND SECURITY GENERAL CLAIMS General § 25.117 Proof of amount claimed for personal injury or death. The following evidence must be presented...

  1. The Vice: Some Historically Inspired and Proof-Generated Steps to Limits of Sequences

    Science.gov (United States)

    Burn, Bob

    2005-01-01

    This paper proposes a genetic development of the concept of limit of a sequence leading to a definition, through a succession of proofs rather than through a succession of sequences or a succession of epsilons. The major ideas on which it is based are historical and depend on Euclid, Archimedes, Fermat, Wallis and Newton. Proofs of equality by…

  2. Experimental study of the effect of wearing dust-proof mask on inhaled aerosol particle size

    International Nuclear Information System (INIS)

    Lu Shunguang; Mei Chongsheng; Wu Yuangqing; Ren Liuan.

    1985-01-01

    This paper describes a method for measuring particle size of inhaled aerosol with a phantom of human head wearing dust-proof mask and a cascade impactor. The results showed that AMAD of inhaled aerosol was degraded and the size distribution of particles changed when the dust-proof mask was wearing. The leak rate of mask increased as the size of dust particles decreased. The results are applicable to estimate internal exposure dose and to evaluate the dust-proof capacity of mask

  3. Identifying and quantifying proteolytic events and the natural N terminome by terminal amine isotopic labeling of substrates.

    Science.gov (United States)

    Kleifeld, Oded; Doucet, Alain; Prudova, Anna; auf dem Keller, Ulrich; Gioia, Magda; Kizhakkedathu, Jayachandran N; Overall, Christopher M

    2011-09-22

    Analysis of the sequence and nature of protein N termini has many applications. Defining the termini of proteins for proteome annotation in the Human Proteome Project is of increasing importance. Terminomics analysis of protease cleavage sites in degradomics for substrate discovery is a key new application. Here we describe the step-by-step procedures for performing terminal amine isotopic labeling of substrates (TAILS), a 2- to 3-d (depending on method of labeling) high-throughput method to identify and distinguish protease-generated neo-N termini from mature protein N termini with all natural modifications with high confidence. TAILS uses negative selection to enrich for all N-terminal peptides and uses primary amine labeling-based quantification as the discriminating factor. Labeling is versatile and suited to many applications, including biochemical and cell culture analyses in vitro; in vivo analyses using tissue samples from animal and human sources can also be readily performed. At the protein level, N-terminal and lysine amines are blocked by dimethylation (formaldehyde/sodium cyanoborohydride) and isotopically labeled by incorporating heavy and light dimethylation reagents or stable isotope labeling with amino acids in cell culture labels. Alternatively, easy multiplex sample analysis can be achieved using amine blocking and labeling with isobaric tags for relative and absolute quantification, also known as iTRAQ. After tryptic digestion, N-terminal peptide separation is achieved using a high-molecular-weight dendritic polyglycerol aldehyde polymer that binds internal tryptic and C-terminal peptides that now have N-terminal alpha amines. The unbound naturally blocked (acetylation, cyclization, methylation and so on) or labeled mature N-terminal and neo-N-terminal peptides are recovered by ultrafiltration and analyzed by tandem mass spectrometry (MS/MS). Hierarchical substrate winnowing discriminates substrates from the background proteolysis products and

  4. Proof-testing strategies induced by dangerous detected failures of safety-instrumented systems

    International Nuclear Information System (INIS)

    Liu, Yiliu; Rausand, Marvin

    2016-01-01

    Some dangerous failures of safety-instrumented systems (SISs) are detected almost immediately by diagnostic self-testing as dangerous detected (DD) failures, whereas other dangerous failures can only be detected by proof-testing, and are therefore called dangerous undetected (DU) failures. Some items may have a DU- and a DD-failure at the same time. After the repair of a DD-failure is completed, the maintenance team has two options: to perform an insert proof test for DU-failure or not. If an insert proof test is performed, it is necessary to decide whether the next scheduled proof test should be postponed or performed at the scheduled time. This paper analyzes the effects of different testing strategies on the safety performance of a single channel of a SIS. The safety performance is analyzed by Petri nets and by approximation formulas and the results obtained by the two approaches are compared. It is shown that insert testing improves the safety performance of the channel, but the feasibility and cost of the strategy may be a hindrance to recommend insert testing. - Highlights: • Identify the tests induced by detected failures. • Model the testing strategies following DD-failures. • Propose analytical formulas for effects of strategies. • Simulate and verify the proposed models.

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