WorldWideScience

Sample records for terminating proof search

  1. Automated termination proofs for logic programs by term rewriting

    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

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

    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...

  3. Proof Nets for Lambek Calculus

    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;

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

    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.

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

    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.

  6. An Architecture for Proof Planning Systems

    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.

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

    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

  8. Combinatorial Proofs and Algebraic Proofs

    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 ...

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

    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

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

    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.

  11. Proof patterns

    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.

  12. Proof Mapping

    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. Implicit proofs

    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

  14. Understanding mathematical proof

    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

  15. Mutational analysis of Escherichia coli elongation factor Tu in search of a role for the N-terminal region

    Mansilla, Francisco; Knudsen, Charlotte Rohde; Laurberg, M

    1998-01-01

    We have mutated lysine 2 and arginine 7 in elongation factor Tu from Escherichia coli separately either to alanine or glutamic acid. The aim of the work was to reveal the possible interactions between the conserved N-terminal part of the molecule, which is rich in basic residues and aminoacyl...... this activity. Furthermore, arginine 7 seems to play a role in regulating the binding of GTP. The three-dimensional structure of the ternary complex, EF-Tu:GTP:Phe-tRNAPhe, involving Thermus aquaticus EF-Tu and yeast Phe-tRNA(Phe), shows that Arg7 is in a position which permits salt bridge formation with Asp284...

  16. Writing proofs in analysis

    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. PROOF on Demand

    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.

  18. Towards an Intelligent Tutor for Mathematical Proofs

    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.

  19. A PROOF Analysis Framework

    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.

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

    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

  1. Stork Color Proofing Technology

    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.

  2. Proofs, Upside Down

    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...

  3. Proof Auditing Formalised Mathematics

    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.

  4. Advances in proof theory

    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. Flood-proof motors

    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.)

  6. Flood-proof motors

    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.)

  7. Gödel's Proof

    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.

  8. Visualizing Probabilistic Proof

    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.

  9. Proofs that Develop Insight

    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…

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

    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.

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

    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…

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

    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...

  13. Proofs with monotone cuts

    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

  14. Goedel, truth and proof

    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'

  15. Analogy, explanation, and proof

    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

  16. Proofs from THE BOOK

    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...

  17. PROOF on a Batch System

    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.

  18. Algebraic proofs over noncommutative formulas

    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

  19. Tamper proofing of safeguards monitors

    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)

  20. Analogy, Explanation, and Proof

    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.

  1. Short proofs of strong normalization

    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.

  2. From Inductive Reasoning to Proof

    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…

  3. Proof tests on reliability

    Mishima, Yoshitsugu

    1983-01-01

    In order to obtain public understanding on nuclear power plants, tests should be carried out to prove the reliability and safety of present LWR plants. For example, the aseismicity of nuclear power plants must be verified by using a large scale earthquake simulator. Reliability test began in fiscal 1975, and the proof tests on steam generators and on PWR support and flexure pins against stress corrosion cracking have already been completed, and the results have been internationally highly appreciated. The capacity factor of the nuclear power plant operation in Japan rose to 80% in the summer of 1983, and considering the period of regular inspection, it means the operation of almost full capacity. Japanese LWR technology has now risen to the top place in the world after having overcome the defects. The significance of the reliability test is to secure the functioning till the age limit is reached, to confirm the correct forecast of deteriorating process, to confirm the effectiveness of the remedy to defects and to confirm the accuracy of predicting the behavior of facilities. The reliability of nuclear valves, fuel assemblies, the heat affected zones in welding, reactor cooling pumps and electric instruments has been tested or is being tested. (Kako, I.)

  4. Proof assistants: History, ideas and future

    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.

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

    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.

  6. Proust: A Nano Proof Assistant

    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.

  7. Complex proofs of real theorems

    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 ...

  8. Terminal Ballistics

    Rosenberg, Zvi

    2012-01-01

    This book covers the important issues of terminal ballistics in a comprehensive way combining experimental data, numerical simulations and analytical modeling. The first chapter reviews the experimental equipment which are used for ballistic tests and the diagnostics for material characterization under impulsive loading conditions. The second chapter covers essential features of the codes which are used for terminal ballistics such as the Euler vs. Lagrange schemes and meshing techniques, as well as the most popular material models. The third chapter, devoted to the penetration mechanics of rigid penetrators, brings the update of modeling in this field. The fourth chapter deals with plate perforation and the fifth chapter deals with the penetration mechanics of shaped charge jets and eroding long rods. The last two chapters discuss several techniques for the disruption and defeating of the main threats in armor design. Throughout the book the authors demonstrate the advantages of numerical simulations in unde...

  9. Terminal structure

    Schmidt, Frank [Langenhagen, DE; Allais, Arnaud [Hannover, DE; Mirebeau, Pierre [Villebon sur Yvette, FR; Ganhungu, Francois [Vieux-Reng, FR; Lallouet, Nicolas [Saint Martin Boulogne, FR

    2009-10-20

    A terminal structure (2) for a superconducting cable (1) is described. It consists of a conductor (2a) and an insulator (2b) that surrounds the conductor (2a), wherein the superconducting cable (1) has a core with a superconducting conductor (5) and a layer of insulation that surrounds the conductor (5), and wherein the core is arranged in such a way that it can move longitudinally in a cryostat. The conductor (2a) of the terminal structure (2) is electrically connected with the superconducting conductor (5) or with a normal conductor (6) that is connected with the superconducting conductor (5) by means of a tubular part (7) made of an electrically conductive material, wherein the superconducting conductor (5) or the normal conductor (6) can slide in the part (7) in the direction of the superconductor.

  10. Termination unit

    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.

  11. Terminal ballistics

    Rosenberg, Zvi

    2016-01-01

    This book comprehensively discusses essential aspects of terminal ballistics, combining experimental data, numerical simulations and analytical modeling. Employing a unique approach to numerical simulations as a measure of sensitivity for the major physical parameters, the new edition also includes the following features: new figures to better illustrate the problems discussed; improved explanations for the equation of state of a solid and for the cavity expansion process; new data concerning the Kolsky bar test; and a discussion of analytical modeling for the hole diameter in a thin metallic plate impacted by a shaped charge jet. The section on thick concrete targets penetrated by rigid projectiles has now been expanded to include the latest findings, and two new sections have been added: one on a novel approach to the perforation of thin concrete slabs, and one on testing the failure of thin metallic plates using a hydrodynamic ram.

  12. Proof Rules for Recursive Procedures

    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

  13. Strategy-proof social choice

    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

  14. Computerized Proof Techniques for Undergraduates

    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…

  15. IFA proof of principle experiments

    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. Analyzing Program Termination and Complexity Automatically with AProVE

    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...

  17. 12 CFR 308.124 - Involuntary termination of insured status for failure to receive deposits.

    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...

  18. Termination unit

    Traeholt, Chresten [Frederiksberg, DK; Willen, Dag [Klagshamn, SE; Roden, Mark [Newnan, GA; Tolbert, Jerry C [Carrollton, GA; Lindsay, David [Carrollton, GA; Fisher, Paul W [Heiskell, TN; Nielsen, Carsten Thidemann [Jaegerspris, DK

    2014-01-07

    This invention relates to a termination unit comprising an end-section of a cable. The end section of the cable defines a central longitudinal axis and comprising end-parts of N electrical phases, an end-part of a neutral conductor and a surrounding thermally insulation envelope adapted to comprising a cooling fluid. The end-parts of the N electrical phases and the end-part of the neutral conductor each comprising at least one electrical conductor and being arranged in the cable concentrically around a core former with a phase 1 located relatively innermost, and phase N relatively outermost in the cable, phase N being surrounded by the neutral conductor, electrical insulation being arrange between neighboring electrical phases and between phase N and the neutral conductor, and wherein the end-parts of the neutral conductor and the electrical phases each comprise a contacting surface electrically connected to at least one branch current lead to provide an electrical connection: The contacting surfaces each having a longitudinal extension, and being located sequentially along the longitudinal extension of the end-section of the cable. The branch current leads being individually insulated from said thermally insulation envelope by individual electrical insulators.

  19. Focused labeled proof systems for modal logic

    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...

  20. Burden of Proof in Bioethics.

    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.

  1. Future-proofing nursing education.

    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.

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

    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.

  3. War Termination: A Selected Bibliography

    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

  4. A proof of Bertrand's postulate

    Andrea Asperti

    2012-01-01

    Full Text Available We discuss the formalization, in the Matita Interactive Theorem Prover, of some results by Chebyshev concerning the distribution of prime numbers, subsuming, as a corollary, Bertrand's postulate.Even if Chebyshev's result has been later superseded by the stronger prime number theorem, his machinery, and in particular the two functions psi and theta still play a central role in the modern development of number theory. The proof makes use of most part of the machinery of elementary arithmetics, and in particular of properties of prime numbers, gcd, products and summations, providing a natural benchmark for assessing the actual development of the arithmetical knowledge base.

  5. Lakatos and Hersh on Mathematical Proof

    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.

  6. Formal Proofs for Nonlinear Optimization

    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.

  7. Introduction to proof in abstract mathematics

    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

  8. Impact- and earthquake- proof roof structure

    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.)

  9. Bistatic SAR: Proof of Concept.

    Yocky, David A.; Doren, Neall E.; Bacon, Terry A.; Wahl, Daniel E.; Eichel, Paul H.; Jakowatz, Charles V,; Delaplain, Gilbert G.; Dubbert, Dale F.; Tise, Bertice L.; White, Kyle R.

    2014-10-01

    Typical synthetic aperture RADAR (SAR) imaging employs a co-located RADAR transmitter and receiver. Bistatic SAR imaging separates the transmitter and receiver locations. A bistatic SAR configuration allows for the transmitter and receiver(s) to be in a variety of geometric alignments. Sandia National Laboratories (SNL) / New Mexico proposed the deployment of a ground-based RADAR receiver. This RADAR receiver was coupled with the capability of digitizing and recording the signal collected. SNL proposed the possibility of creating an image of targets the illuminating SAR observes. This document describes the developed hardware, software, bistatic SAR configuration, and its deployment to test the concept of a ground-based bistatic SAR. In the proof-of-concept experiments herein, the RADAR transmitter will be a commercial SAR satellite and the RADAR receiver will be deployed at ground level, observing and capturing RADAR ground/targets illuminated by the satellite system.

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

    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…

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

    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…

  12. Search Help

    Guidance and search help resource listing examples of common queries that can be used in the Google Search Appliance search request, including examples of special characters, or query term seperators that Google Search Appliance recognizes.

  13. Complexity Analysis of Precedence Terminating Infinite Graph Rewrite Systems

    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.

  14. Multiparty session types as coherence proofs

    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...

  15. Verifying Process Algebra Proofs in Type Theory

    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

  16. Other trigonometric proofs of Pythagoras theorem

    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 $\\cos\\theta=1-2\\sin^2 \\frac{\\theta}{2}$.

  17. Proof in Algebra: Reasoning beyond Examples

    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. On Callan's proof of the BPHZ theorem

    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.)

  19. Interval logic. Proof theory and theorem proving

    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...

  20. The statistical strength of nonlocality proofs

    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. Proof Mining in L1-Approximation

    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...

  2. Proof Mining in L1-Approximation

    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...

  3. Terminal nerve: cranial nerve zero

    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.

  4. Three-terminal superconducting devices

    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

  5. kosh Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

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    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

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    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

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    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

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    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

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  4. Organizational Relationship Termination Competence

    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...

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    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  12. kpsm Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  13. kgrb Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  14. kgmu Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  15. papg Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  16. kbgm Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  17. pamc Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  18. klrd Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  19. ksan Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  20. patk Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  1. kowb Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  2. klru Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  3. kfxe Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  4. kjct Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  5. kcrg Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  6. paaq Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  7. kaex Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  8. klbx Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  9. kmia Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  10. kpit Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  11. kcrw Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  12. paen Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  13. kast Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  14. kuin Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  15. kmht Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  16. kcys Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  17. kflo Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  18. pakn Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  19. pabt Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  20. krdg Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  1. khdn Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  2. kjac Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  3. kphx Terminal Aerodrome Forecast

    National Oceanic and Atmospheric Administration, Department of Commerce — TAF (terminal aerodrome forecast or terminal area forecast) is a format for reporting weather forecast information, particularly as it relates to aviation. TAFs are...

  4. A Two-terminal Active Capacitor

    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....

  5. Distributed analysis with PROOF in ATLAS collaboration

    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.

  6. Distributed analysis with PROOF in ATLAS collaboration

    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.

  7. Hybrid Logic and its Proof-Theory

    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

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

    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)

  9. Evaluating Google compute engine with PROOF

    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.

  10. Parallel interactive data analysis with PROOF

    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

  11. Proof of payment for all reimbursement claims

    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 ...

  12. Problems and proofs in numbers and algebra

    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...

  13. 33 CFR 136.233 - Proof.

    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...

  14. A short proof of increased parabolic regularity

    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.

  15. Symbolic logic syntax, semantics, and proof

    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.

  16. CONTAINER TERMINALS IN EUROPE

    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.

  17. 46 CFR 201.144 - Offer of proof.

    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. ...

  18. 45 CFR 81.85 - Offer of proof.

    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. ...

  19. 38 CFR 18b.64 - Offer of proof.

    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. ...

  20. Random searching

    Shlesinger, Michael F

    2009-01-01

    There are a wide variety of searching problems from molecules seeking receptor sites to predators seeking prey. The optimal search strategy can depend on constraints on time, energy, supplies or other variables. We discuss a number of cases and especially remark on the usefulness of Levy walk search patterns when the targets of the search are scarce.

  1. Search Patterns

    Morville, Peter

    2010-01-01

    What people are saying about Search Patterns "Search Patterns is a delight to read -- very thoughtful and thought provoking. It's the most comprehensive survey of designing effective search experiences I've seen." --Irene Au, Director of User Experience, Google "I love this book! Thanks to Peter and Jeffery, I now know that search (yes, boring old yucky who cares search) is one of the coolest ways around of looking at the world." --Dan Roam, author, The Back of the Napkin (Portfolio Hardcover) "Search Patterns is a playful guide to the practical concerns of search interface design. It cont

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

    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

  3. Lazy Productivity via Termination

    Endrullis, J.; Hendriks, R.D.A.

    2011-01-01

    We present a procedure for transforming strongly sequential constructor-based term rewriting systems (TRSs) into context-sensitive TRSs in such a way that productivity of the input system is equivalent to termination of the output system. Thereby automated termination provers become available for

  4. Termination of cycle rewriting

    Zantema, H.; König, B.; Bruggink, H.J.S.; Dowek, G.

    2014-01-01

    String rewriting can not only be applied on strings, but also on cycles and even on general graphs. In this paper we investigate termination of string rewriting applied on cycles, shortly denoted as cycle rewriting, which is a strictly stronger requirement than termination on strings. Most

  5. Vibration-proof FBR type reactor

    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.)

  6. Kitimat LNG terminal

    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

  7. Proof testing of CANDU concrete containment structures

    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

  8. Nonleaking battery terminals.

    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.

  9. Personalized Search

    AUTHOR|(SzGeCERN)749939

    2015-01-01

    As the volume of electronically available information grows, relevant items become harder to find. This work presents an approach to personalizing search results in scientific publication databases. This work focuses on re-ranking search results from existing search engines like Solr or ElasticSearch. This work also includes the development of Obelix, a new recommendation system used to re-rank search results. The project was proposed and performed at CERN, using the scientific publications available on the CERN Document Server (CDS). This work experiments with re-ranking using offline and online evaluation of users and documents in CDS. The experiments conclude that the personalized search result outperform both latest first and word similarity in terms of click position in the search result for global search in CDS.

  10. Nontraumatic terminal ileal perforation

    Wani Rauf A

    2006-03-01

    Full Text Available Abstract Background There is still confusion and controversy over the diagnosis and optimal surgical treatment of non traumatic terminal ileal perforation-a cause of obscure peritonitis. Methods This study was a prospective study aimed at evaluating the clinical profile, etiology and optimal surgical management of patients with nontraumatic terminal ileal perforation. Results There were 79 cases of nontraumatic terminal ileal perforation; the causes for perforation were enteric fever(62%, nonspecific inflammation(26%, obstruction(6%, tuberculosis(4% and radiation enteritis (1%. Simple closure of the perforation (49% and end to side ileotransverse anastomosis(42% were the mainstay of the surgical management. Conclusion Terminal ileal perforation should be suspected in all cases of peritonitis especially in developing countries and surgical treatment should be optimized taking various accounts like etiology, delay in surgery and operative findings into consideration to reduce the incidence of deadly complications like fecal fistula.

  11. Terminated Multifamily Mortgages Database

    Department of Housing and Urban Development — This dataset includes all terminated HUD Multifamily mortgages except those from the Hospital Mortgage Insurance Program. It includes the Holder and Servicer at the...

  12. Coal terminal directory

    NONE

    2008-06-15

    The directory gives a comprehensive listing of the world's coal terminals, in a total of 50 countries including information on throughput, facilities, storage capacity, and vessel size limitation.

  13. Visual communication and terminal equipment

    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.

  14. Visual communication and terminal equipment

    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.

  15. Proof systems for Moss’ coalgebraic logic

    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

  16. Data-oriented scheduling for PROOF

    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.

  17. 33 CFR 136.215 - Proof.

    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...

  18. Teaching Syllogistics Through Gamification and Interactive Proofs

    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...

  19. Gödel, Truth and Proof

    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

  20. Proofs of Contracted Length Non-covariance

    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

  1. A Foundational Proof Framework for Cryptography

    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

  2. A Short Proof of Klee's Theorem

    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. Strategy-Proof Assignment Of Multiple Resources

    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 ...

  4. Proof complexity of intuitionistic implicational formulas

    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

  5. Complexity of Propositional Proofs Under a Promise

    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

  6. Complexity of Propositional Proofs Under a Promise

    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

  7. Proof of Nishida's Conjecture on Anharmonic Lattices

    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.

  8. Decorated proofs for computational effects: States

    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.

  9. Short proofs for the determinant identities

    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

  10. Computer-Assisted Discovery and Proof

    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.

  11. Proofs of certain properties of irrational roots

    Belbas, S. A.

    2009-01-01

    We give two elementary proofs, at a level understandable by students with only pre-calculus knowledge of Algebra, of the well known fact that an irreducible irrational n-th root of a positive rational number cannot be solution of a polynomial of degree less than n with rational coefficients. We also state and prove a few simple consequences.

  12. Hash3: Proofs, Analysis and Implementation

    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...

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

    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.

  14. Proof test diagrams for Zerodur glass-ceramic

    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.

  15. Tandem Terminal Ion Source

    Harper, G.C.; Lindner, C.E.; Myers, A.W.; Wechel, T.D. van

    2000-01-01

    OAK-B135 Tandem Terminal Ion Source. The terminal ion source (TIS) was used in several experiments during this reporting period, all for the 7 Be(γ) 8 B experiment. Most of the runs used 1 H + at terminal voltages from 0.3 MV to 1.5 MV. One of the runs used 2 H + at terminal voltage of 1.4 MV. The other run used 4 He + at a terminal voltage of 1.37 MV. The list of experiments run with the TIS to date is given in table 1 below. The tank was opened four times for unscheduled source repairs. On one occasion the tank was opened to replace the einzel lens power supply which had failed. The 10 kV unit was replaced with a 15 kV unit. The second time the tank was opened to repair the extractor supply which was damaged by a tank spark. On the next occasion the tank was opened to replace a source canal which had sputtered away. Finally, the tank was opened to replace the discharge bottle which had been coated with aluminum sputtered from the exit canal

  16. Tandem Terminal Ion Source

    None

    2000-01-01

    OAK-B135 Tandem Terminal Ion Source. The terminal ion source (TIS) was used in several experiments during this reporting period, all for the(sup 7)Be((gamma))(sup 8)B experiment. Most of the runs used(sup 1)H(sup+) at terminal voltages from 0.3 MV to 1.5 MV. One of the runs used(sup 2)H(sup+) at terminal voltage of 1.4 MV. The other run used(sup 4)He(sup+) at a terminal voltage of 1.37 MV. The list of experiments run with the TIS to date is given in table 1 below. The tank was opened four times for unscheduled source repairs. On one occasion the tank was opened to replace the einzel lens power supply which had failed. The 10 kV unit was replaced with a 15 kV unit. The second time the tank was opened to repair the extractor supply which was damaged by a tank spark. On the next occasion the tank was opened to replace a source canal which had sputtered away. Finally, the tank was opened to replace the discharge bottle which had been coated with aluminum sputtered from the exit canal

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

    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...

  18. Search Advertising

    Cornière (de), Alexandre

    2016-01-01

    Search engines enable advertisers to target consumers based on the query they have entered. In a framework with horizontal product differentiation, imperfect product information and in which consumers incur search costs, I study a game in which advertisers have to choose a price and a set of relevant keywords. The targeting mechanism brings about three kinds of efficiency gains, namely lower search costs, better matching, and more intense product market price-competition. A monopolistic searc...

  19. Faceted Search

    Tunkelang, Daniel

    2009-01-01

    We live in an information age that requires us, more than ever, to represent, access, and use information. Over the last several decades, we have developed a modern science and technology for information retrieval, relentlessly pursuing the vision of a "memex" that Vannevar Bush proposed in his seminal article, "As We May Think." Faceted search plays a key role in this program. Faceted search addresses weaknesses of conventional search approaches and has emerged as a foundation for interactive information retrieval. User studies demonstrate that faceted search provides more

  20. 34 CFR 101.85 - Offer of proof.

    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...

  1. 7 CFR 15.122 - Offer of proof.

    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...

  2. 49 CFR 604.43 - Offer of proof.

    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. ...

  3. 36 CFR 1150.79 - Offer of proof.

    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...

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

    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.

  5. 16 CFR 614.1 - Appropriate proof of identity.

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

    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....

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

    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;…

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

    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,…

  9. A Calculus of Circular Proofs and its Categorical Semantics

    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...

  10. 29 CFR 1919.31 - Proof tests-loose gear.

    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...

  11. Proviola: a tool for proof re-animation

    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

  12. Search-Order Independent State Caching

    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)....

  13. Exploring mathematics problem-solving and proof

    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...

  14. Multiparty Session Types as Coherence Proofs

    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....

  15. A proof of the conformal collider bounds

    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.

  16. Windows Terminal Servers Orchestration

    Bukowiec, Sebastian; Gaspar, Ricardo; Smith, Tim

    2017-10-01

    Windows Terminal Servers provide application gateways for various parts of the CERN accelerator complex, used by hundreds of CERN users every day. The combination of new tools such as Puppet, HAProxy and Microsoft System Center suite enable automation of provisioning workflows to provide a terminal server infrastructure that can scale up and down in an automated manner. The orchestration does not only reduce the time and effort necessary to deploy new instances, but also facilitates operations such as patching, analysis and recreation of compromised nodes as well as catering for workload peaks.

  17. Consistency Anchor Formalization and Correctness Proofs

    Miguel, Correia; Bessani, Alysson

    2014-01-01

    This is report contains the formal proofs for the techniques for increasing the consistency of cloud storage as presented in "Bessani et al. SCFS: A Cloud-backed File System. Proc. of the 2014 USENIX Annual Technical Conference. June 2014." The consistency anchor technique allows one to increase the consistency provided by eventually consistent cloud storage services like Amazon S3. This technique has been used in the SCFS (Shared Cloud File System) cloud-backed file system for solving rea...

  18. Kant's Transcendental Arguments as Conceptual Proofs | Stapleford ...

    The paper is an attempt to explain what a transcendental argument is for Kant. The interpretation is based on a reading of the “Discipline of Pure Reason,” sections 1 and 4, of the first Critique. The author first identifies several statements that Kant makes about the method of proof he followed in the “Analytic of Principles,” ...

  19. An approach for designing robotized marine container terminals

    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. Advanced Search

    Search tips: Search terms are case-insensitive; Common words are ignored; By default only articles containing all terms in the query are returned (i.e., AND is implied); Combine multiple words with OR to find articles containing either term; e.g., education OR research; Use parentheses to create more complex queries; e.g., ...

  1. The Tiny Terminators

    Home; Journals; Resonance – Journal of Science Education; Volume 6; Issue 5. The Tiny Terminators - Mosquitoes and Diseases. P K Sumodan. General Article Volume 6 Issue 5 May 2001 pp 48-55. Fulltext. Click here to view fulltext PDF. Permanent link: https://www.ias.ac.in/article/fulltext/reso/006/05/0048-0055 ...

  2. Making Wireless Terminals Simpler

    Christensen, Søren Skovgaard; Popovski, Petar; De Carvalho, Elisabeth

    2005-01-01

    equalization in the downlink, which these requirements lead to. We propose to solve the problem by applying pre-processing at the base station, thereby rendering the terminal simple. We establish a general MIMO block transmission model, and derive different transmit/receive filters, based on the Linear Minimum...

  3. Trauma and termination.

    Ferraro, F

    1995-02-01

    The author suggests a particular reading of the thesis put forward by Freud in 'Analysis terminable and interminable' that an effective and more definitive conclusion may be expected in analyses of cases with traumatic aetiology. This reading shifts the emphasis from the patient's history to the possibility of its crystallising in focal nuclei emerging within the analytic relationship under the pressure of the termination. The revival of separation anxieties which cannot be worked through, and their crystallisation in precipitating traumatic events, may give rise to decisive psychic work allowing the analysis to be brought to a conclusion. Two case histories are presented to show how the end of the analysis assumes the form of a new trauma, which reactivates in the present, traumatic anxieties from the patient's own infantile history. In the first case a premature birth and in the second a miscarriage, originally experienced as isolated automatic events without time or history, are relived in the terminal phase as vicissitudes of the transference, so that new meaning can be assigned to them and they can be withdrawn from the somatic cycle of repetition. The powerful tendency to act out and the intense countertransference pressure on the analyst are discussed in the light of the specificities of this phase, which is crucial to the success of the analysis. This leads to a re-examination, in the concluding notes, of some theoretical questions inherent in the problem of the termination and, in particular, to a discussion of the ambiguous concept of a natural ending.

  4. Prematurely terminated slug tests

    Karasaki, K.

    1990-07-01

    A solution of the well response to a prematurely terminated slug test (PTST) is presented. The advantages of a PTST over conventional slug tests are discussed. A systematized procedure of a PTST is proposed, where a slug test is terminated in the midpoint of the flow point, and the subsequent shut-in data is recorded and analyzed. This method requires a downhole shut-in device and a pressure transducer, which is no more than the conventional deep-well slug testing. As opposed to slug tests, which are ineffective when a skin is present, more accurate estimate of formation permeability can be made using a PTST. Premature termination also shortens the test duration considerably. Because in most cases no more information is gained by completing a slug test to the end, the author recommends that conventional slug tests be replaced by the premature termination technique. This study is part of an investigation of the feasibility of geologic isolation of nuclear wastes being carried out by the US Department of Energy and the National Cooperative for the Storage of Radioactive Waste of Switzerland

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

    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.

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

    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)

  7. NPOESS Field Terminal Updates

    Heckmann, G.; Route, G.

    2009-12-01

    The National Oceanic and Atmospheric Administration (NOAA), Department of Defense (DoD), and National Aeronautics and Space Administration (NASA) are jointly acquiring the next-generation weather and environmental satellite system; the National Polar-orbiting Operational Environmental Satellite System (NPOESS). NPOESS replaces the current Polar-orbiting Operational Environmental Satellites (POES) managed by NOAA and the Defense Meteorological Satellite Program (DMSP) managed by the DoD. The NPOESS satellites carry a suite of sensors that collect meteorological, oceanographic, climatological, and solar-geophysical observations of the earth, atmosphere, and space. The ground data processing segment for NPOESS is the Interface Data Processing Segment (IDPS), developed by Raytheon Intelligence and Information Systems. The IDPS processes NPOESS satellite data to provide environmental data products (aka, Environmental Data Records or EDRs) to NOAA and DoD processing centers operated by the United States government. The IDPS will process EDRs beginning with the NPOESS Preparatory Project (NPP) and continuing through the lifetime of the NPOESS system. IDPS also provides the software and requirements for the Field Terminal Segment (FTS). NPOESS provides support to deployed field terminals by providing mission data in the Low Rate and High Rate downlinks (LRD/HRD), mission support data needed to generate EDRs and decryption keys needed to decrypt mission data during Selective data Encryption (SDE). Mission support data consists of globally relevant data, geographically constrained data, and two line element sets. NPOESS provides these mission support data via the Internet accessible Mission Support Data Server and HRD/LRD downlinks. This presentation will illustrate and describe the NPOESS capabilities in support of Field Terminal users. This discussion will include the mission support data available to Field Terminal users, content of the direct broadcast HRD and LRD

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

    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.

  9. 2nd International Conference on Proof-Theoretic Semantics

    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...

  10. Antecedents of Customer Relationship Termination

    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....

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

    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...

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

    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...

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

    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.

  14. Autonomous search

    Hamadi, Youssef; Saubion, Frédéric

    2012-01-01

    Autonomous combinatorial search (AS) represents a new field in combinatorial problem solving. Its major standpoint and originality is that it considers that problem solvers must be capable of self-improvement operations. This is the first book dedicated to AS.

  15. Review paper. Terminal lucidity

    Chiriboga-Oleszczak Boris Alejandro

    2017-03-01

    Full Text Available Terminal lucidity is a term used in the medical literature to determine the improvement of mental functioning shortly before death, even among patients with serious and long-term disorders. In 19th century, cases of mind clarity recovery shortly before death, were often recognized by doctors and interpreted as a sign of an impending death. In 20th century, the interest in this phenomenon decreased and then, virtually disappear. In recent years, on the wave of publications concerning near death experiences and related events such as the end of life experiences, papers about the improvement of mental functioning shortly before death, exponentially grew and got a new name, terminal lucidity. In this paper, an overview of the available literature is presented to outline the historical, phenomenological and clinical picture of this phenomenon and its possible implications for medical care and future studies.

  16. Scandium Terminal Imido Chemistry.

    Lu, Erli; Chu, Jiaxiang; Chen, Yaofeng

    2018-02-20

    Research into transition metal complexes bearing multiply bonded main-group ligands has developed into a thriving and fruitful field over the past half century. These complexes, featuring terminal M═E/M≡E (M = transition metal; E = main-group element) multiple bonds, exhibit unique structural properties as well as rich reactivity, which render them attractive targets for inorganic/organometallic chemists as well as indispensable tools for organic/catalytic chemists. This fact has been highlighted by their widespread applications in organic synthesis, for example, as olefin metathesis catalysts. In the ongoing renaissance of transition metal-ligand multiple-bonding chemistry, there have been reports of M═E/M≡E interactions for the majority of the metallic elements of the periodic table, even some actinide metals. In stark contrast, the largest subgroup of the periodic table, rare-earth metals (Ln = Sc, Y, and lanthanides), have been excluded from this upsurge. Indeed, the synthesis of terminal Ln═E/Ln≡E multiple-bonding species lagged behind that of the transition metal and actinide congeners for decades. Although these species had been pursued since the discovery of a rare-earth metal bridging imide in 1991, such a terminal (nonpincer/bridging hapticities) Ln═E/Ln≡E bond species was not obtained until 2010. The scarcity is mainly attributed to the energy mismatch between the frontier orbitals of the metal and the ligand atoms. This renders the putative terminal Ln═E/Ln≡E bonds extremely reactive, thus resulting in the formation of aggregates and/or reaction with the ligand/environment, quenching the multiple-bond character. In 2010, the stalemate was broken by the isolation and structural characterization of the first rare-earth metal terminal imide-a scandium terminal imide-by our group. The double-bond character of the Sc═N bond was unequivocally confirmed by single-crystal X-ray diffraction. Theoretical investigations revealed the presence

  17. ATAC Process Proof of Concept Final Report

    Bri Rolston; Sarah Freeman

    2014-03-01

    Researchers at INL with funding from the Department of Energy’s Office of Electricity Delivery and Energy Reliability (DOE-OE) evaluated a novel approach for near real-time consumption of threat intelligence. Demonstration testing in an industry environment supported the development of this new process to assist the electric sector in securing their critical networks. This report provides the reader with an understanding of the methods used during this proof of concept project. The processes and templates were further advanced with an industry partner during an onsite assessment. This report concludes with lessons learned and a roadmap for final development of these materials for use by industry.

  18. Open Assessment of Proofs in Litigation

    Kaltrina Zekolli

    2017-01-01

    Full Text Available The key of existence and success in all domains of life to the entity of justice is the thorough compliance to the truth and justice. Therefore when a certain right is violated, liable or challenged entrusted to solve that, are the institutions of justice, rather the courts. Courts are competent to find the right path towards the truth applying different methods with intention to satisfy the justice. In this paper special attention we dedicated to the method of open assessment of proofs in litigation, that in fact is the subject of this research.

  19. Duan's fixed point theorem: Proof and generalization

    Arkowitz Martin

    2006-01-01

    Full Text Available Let be an H-space of the homotopy type of a connected, finite CW-complex, any map and the th power map. Duan proved that has a fixed point if . We give a new, short and elementary proof of this. We then use rational homotopy to generalize to spaces whose rational cohomology is the tensor product of an exterior algebra on odd dimensional generators with the tensor product of truncated polynomial algebras on even dimensional generators. The role of the power map is played by a -structure as defined by Hemmi-Morisugi-Ooshima. The conclusion is that and each has a fixed point.

  20. LNG TERMINAL SAFE OPERATION MANAGEMENT

    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...

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

    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

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

    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…

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

    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…

  4. 43 CFR 4.840 - Offer of proof.

    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...

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

    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....

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

    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...

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

    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.

  8. LNG TERMINAL SAFE OPERATION MANAGEMENT

    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.

  9. Search strategies

    Oliver, B. M.

    Attention is given to the approaches which would provide the greatest chance of success in attempts related to the discovery of extraterrestrial advanced cultures in the Galaxy, taking into account the principle of least energy expenditure. The energetics of interstellar contact are explored, giving attention to the use of manned spacecraft, automatic probes, and beacons. The least expensive approach to a search for other civilizations involves a listening program which attempts to detect signals emitted by such civilizations. The optimum part of the spectrum for the considered search is found to be in the range from 1 to 2 GHz. Antenna and transmission formulas are discussed along with the employment of matched gates and filters, the probable characteristics of the signals to be detected, the filter-signal mismatch loss, surveys of the radio sky, the conduction of targeted searches.

  10. Terminal weather information management

    Lee, Alfred T.

    1990-01-01

    Since the mid-1960's, microburst/windshear events have caused at least 30 aircraft accidents and incidents and have killed more than 600 people in the United States alone. This study evaluated alternative means of alerting an airline crew to the presence of microburst/windshear events in the terminal area. Of particular interest was the relative effectiveness of conventional and data link ground-to-air transmissions of ground-based radar and low-level windshear sensing information on microburst/windshear avoidance. The Advanced Concepts Flight Simulator located at Ames Research Center was employed in a line oriented simulation of a scheduled round-trip airline flight from Salt Lake City to Denver Stapleton Airport. Actual weather en route and in the terminal area was simulated using recorded data. The microburst/windshear incident of July 11, 1988 was re-created for the Denver area operations. Six experienced airline crews currently flying scheduled routes were employed as test subjects for each of three groups: (1) A baseline group which received alerts via conventional air traffic control (ATC) tower transmissions; (2) An experimental group which received alerts/events displayed visually and aurally in the cockpit six miles (approx. 2 min.) from the microburst event; and (3) An additional experimental group received displayed alerts/events 23 linear miles (approx. 7 min.) from the microburst event. Analyses of crew communications and decision times showed a marked improvement in both situation awareness and decision-making with visually displayed ground-based radar information. Substantial reductions in the variability of decision times among crews in the visual display groups were also found. These findings suggest that crew performance will be enhanced and individual differences among crews due to differences in training and prior experience are significantly reduced by providing real-time, graphic display of terminal weather hazards.

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

    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...

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

    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.

  13. Termination of Safeguards on ULWBR Material

    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

  14. The Heliospheric Termination Shock

    Jokipii, J. R.

    2013-06-01

    The heliospheric termination shock is a vast, spheroidal shock wave marking the transition from the supersonic solar wind to the slower flow in the heliosheath, in response to the pressure of the interstellar medium. It is one of the most-important boundaries in the outer heliosphere. It affects energetic particles strongly and for this reason is a significant factor in the effects of the Sun on Galactic cosmic rays. This paper summarizes the general properties and overall large-scale structure and motions of the termination shock. Observations over the past several years, both in situ and remote, have dramatically revised our understanding of the shock. The consensus now is that the shock is quite blunt, is with the front, blunt side canted at an angle to the flow direction of the local interstellar plasma relative to the Sun, and is dynamical and turbulent. Much of this new understanding has come from remote observations of energetic charged particles interacting with the shock, radio waves and radiation backscattered from interstellar neutral atoms. The observations and the implications are discussed.

  15. Fracture flow modelling. Proof of evidence

    Hencher, S.R.

    1996-01-01

    Proof of Evidence by an expert witness is presented in support of the case by Friends of the Earth (FOE) against the proposed construction by UK Nirex Ltd of an underground Rock Characterisation Facility (RCF) at a site in the Sellafield area. The RCF is part of an investigation by Nirex into a suitable site for an underground repository for the disposal of radioactive waste. The objections were raised at a Planning Inquiry in 1995. The evidence points out that current understanding of the factors which control flow through a network of interconnecting fractures, such as that at the Sellafield site, is at a very early stage of development. Neither are the methods of investigation and analysis required for a post-closure performance assessment (PCPA) for a repository well developed. These issues are being investigated in international underground research laboratories but the proposed RCF is intended to be confirmatory rather than experimental. (23 references). (UK)

  16. Tritium proof-of-principle injector experiment

    Fisher, P.W.; Milora, S.L.; Combs, S.K.; Carlson, R.V.; Coffin, D.O.

    1988-01-01

    The Tritium Proof-of-Principle (TPOP) pellet injector was designed and built by Oak Ridge National Laboratory (ORNL) to evaluate the production and acceleration of tritium pellets for fueling future fision reactors. The injector uses the pipe-gun concept to form pellets directly in a short liquid-helium-cooled section of the barrel. Pellets are accelerated by using high-pressure hydrogen supplied from a fast solenoid valve. A versatile, tritium-compatible gas-handling system provides all of the functions needed to operate the gun, including feed gas pressure control and flow control, plus helium separation and preparation of mixtures. These systems are contained in a glovebox for secondary containment of tritium Systems Test Assembly (TSTA) at Los Alamos National Laboratory (LANL). 18 refs., 3 figs

  17. Complete proof systems for weighted modal logic

    Larsen, Kim G.; Mardare, Radu

    2014-01-01

    (WML) is a multi-modal logic that expresses qualitative and quantitative properties of WTSs. While WML has been studied in various contexts and for various application domains, no proof system has been developed for it. In this paper we solve this open problem and propose both weak-complete and strong......The weighted transition systems (WTS) considered in this paper are transition systems having both states and transitions labeled with real numbers: the state labels denote quantitative resources, while the transition labels denote costs of transitions in terms of resources. Weighted Modal Logic....... This work emphasizes a series of similarities between WML and the probabilistic/stochastic modal logics for Markov processes and Harsanyi type spaces, such as the use of particular infinitary rules to guarantee the strong-completeness....

  18. Duan's fixed point theorem: proof and generalization

    2006-01-01

    Full Text Available Let X be an H-space of the homotopy type of a connected, finite CW-complex, f:X→X any map and p k :X→X the k th power map. Duan proved that p k f :X→X has a fixed point if k≥2 . We give a new, short and elementary proof of this. We then use rational homotopy to generalize to spaces X whose rational cohomology is the tensor product of an exterior algebra on odd dimensional generators with the tensor product of truncated polynomial algebras on even dimensional generators. The role of the power map is played by a θ -structure μ θ :X→X as defined by Hemmi-Morisugi-Ooshima. The conclusion is that μ θ f and f μ θ each has a fixed point.

  19. Soft magnetic tweezers: a proof of principle.

    Mosconi, Francesco; Allemand, Jean François; Croquette, Vincent

    2011-03-01

    We present here the principle of soft magnetic tweezers which improve the traditional magnetic tweezers allowing the simultaneous application and measurement of an arbitrary torque to a deoxyribonucleic acid (DNA) molecule. They take advantage of a nonlinear coupling regime that appears when a fast rotating magnetic field is applied to a superparamagnetic bead immersed in a viscous fluid. In this work, we present the development of the technique and we compare it with other techniques capable of measuring the torque applied to the DNA molecule. In this proof of principle, we use standard electromagnets to achieve our experiments. Despite technical difficulties related to the present implementation of these electromagnets, the agreement of measurements with previous experiments is remarkable. Finally, we propose a simple way to modify the experimental design of electromagnets that should bring the performances of the device to a competitive level.

  20. Design considerations for prepress color proof measurement

    Spooner, David L.

    1993-06-01

    For our purposes, we needed colorimetric measurements or, better yet, spectral reflectance data. Our survey of commercially available instruments identified one spectrocolorimeter, the Hunter PICS (manufactured by Hunter Associates Laboratory, Inc.), which could be programmed to automatically measure the color (and spectral reflectance) of large numbers of samples on a proof sheet. After an evaluation of this instrument, which included measuring over 10,000 exhibits, it was decided that the unit did not fully meet our needs. This resulted in a decision to integrate another instrument, the Byk-Gardner Color Machine (manufactured by Byk-Gardner, Inc.), with an x-y positioning mechanism. This paper describes the design considerations used in the development of our color measurement system.

  1. Proofs and generalizations of the pythagorean theorem

    Lialda B. Cavalcanti

    2011-01-01

    Full Text Available This article explores a topic developed by a group of researchers of the Science and Technology Teaching School of Instituto Federal de Pernambuco, Brazil (IFPE, in assistance to the development of the Mathematics Practical and Teaching Laboratory of the distance learning Teaching Licensure, financed by the Universidad Abierta de Brasil. In this article, we describe the peculiarities present in the proofs of the Pythagorean theorem with the purpose of illustrating some of these methods. The selection of these peculiarities was founded and based on the comparison of areas by means of the superimposition of geometrical shapes and used several different class resources. Some generalizations of this important theorem in mathematical problem-solving are also shown.

  2. The direct liquefaction proof of concept program

    Comolli, A.G.; Lee, L.K.; Pradhan, V.R.; Stalzer, R.H. [New York & Puritan Avenues, Lawrenceville, NJ (United States)

    1995-12-31

    The goal of the Proof of Concept (POC) Program is to develop Direct Coal Liquefaction and associated transitional technologies towards commercial readiness for economically producing premium liquid fuels from coal in an environmentally acceptable manner. The program focuses on developing the two-stage liquefaction (TSL) process by utilizing geographically strategic feedstocks, commercially feasible catalysts, new prototype equipment, and testing co-processing or alternate feedstocks and improved process configurations. Other high priority objectives include dispersed catalyst studies, demonstrating low rank coal liquefaction without solids deposition, improving distillate yields on a unit reactor volume basis, demonstrating ebullated bed operations while obtaining scale-up data, demonstrating optimum catalyst consumption using new concepts (e.g. regeneration, cascading), producing premium products through on-line hydrotreating, demonstrating improved hydrogen utilization for low rank coals using novel heteroatom removal methods, defining and demonstrating two-stage product properties for upgrading; demonstrating efficient and economic solid separation methods, examining the merits of integrated coal cleaning, demonstrating co-processing, studying interactions between the preheater and first and second-stage reactors, improving process operability by testing and incorporating advanced equipment and instrumentation, and demonstrating operation with alternate coal feedstocks. During the past two years major PDU Proof of Concept runs were completed. POC-1 with Illinois No. 6 coal and POC-2 with Black Thunder sub-bituminous coal. Results from these operations are continuing under review and the products are being further refined and upgraded. This paper will update the results from these operations and discuss future plans for the POC program.

  3. Proof testing of an explosion containment vessel

    Esparza, E.D. [Esparza (Edward D.), San Antonio, TX (United States); Stacy, H.; Wackerle, J. [Los Alamos National Lab., NM (United States)

    1996-10-01

    A steel containment vessel was fabricated and proof tested for use by the Los Alamos National Laboratory at their M-9 facility. The HY-100 steel vessel was designed to provide total containment for high explosives tests up to 22 lb (10 kg) of TNT equivalent. The vessel was fabricated from an 11.5-ft diameter cylindrical shell, 1.5 in thick, and 2:1 elliptical ends, 2 in thick. Prior to delivery and acceptance, three types of tests were required for proof testing the vessel: a hydrostatic pressure test, air leak tests, and two full design charge explosion tests. The hydrostatic pressure test provided an initial static check on the capacity of the vessel and functioning of the strain instrumentation. The pneumatic air leak tests were performed before, in between, and after the explosion tests. After three smaller preliminary charge tests, the full design charge weight explosion tests demonstrated that no yielding occurred in the vessel at its rated capacity. The blast pressures generated by the explosions and the dynamic response of the vessel were measured and recorded with 33 strain channels, 4 blast pressure channels, 2 gas pressure channels, and 3 displacement channels. This paper presents an overview of the test program, a short summary of the methodology used to predict the design blast loads, a brief description of the transducer locations and measurement systems, some of the hydrostatic test strain and stress results, examples of the explosion pressure and dynamic strain data, and some comparisons of the measured data with the design loads and stresses on the vessel.

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

    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.

  5. Resolution and termination

    Adina FOLTIŞ

    2012-01-01

    Full Text Available The resolution, the termination and the reduction of labour conscription are regulated by articles 1549-1554 in the new Civil Code, which represents the common law in this matter. We appreciate that the new regulation does not conclusively clarify the issue related to whether the existence of liability in order to call upon the resolution is necessary or not, because the existence of this condition has been inferred under the previous regulation from the fact that the absence of liability shifts the inexecution issue on the domain of fortuitous impossibility of execution, situation in which the resolution of the contract is not in question, but that of the risk it implies.

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

    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

  7. 14 CFR 13.225 - Offer of proof.

    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...

  8. 14 CFR 406.155 - Offer of proof.

    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. ...

  9. 14 CFR 16.231 - Offer of proof.

    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...

  10. 49 CFR 1503.641 - Offer of proof.

    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. ...

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

    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...

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

    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.

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

    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

  14. A new proof of the positive energy theorem

    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.)

  15. A proof challenge: multiple alignment and information compression

    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.

  16. 34 CFR 34.14 - Burden of proof.

    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...

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

    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.

  18. Security proof for round robin differential phase shift QKD

    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

  19. Values and Norms of Proof for Mathematicians and Students

    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…

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

    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…

  1. A Calculus of Circular Proofs and its Categorical Semantics

    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...

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

    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...

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

    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…

  4. Velocity feedback control with a flywheel proof mass actuator

    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.

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

    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

  6. Three Styles Characterising Mathematicians' Pedagogical Perspectives on Proof

    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…

  7. 14 CFR 25.307 - Proof of structure.

    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...

  8. 14 CFR 23.307 - Proof of structure.

    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...

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

    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 ...

  10. Internet Search Engines

    Fatmaa El Zahraa Mohamed Abdou

    2004-01-01

    A general study about the internet search engines, the study deals main 7 points; the differance between search engines and search directories, components of search engines, the percentage of sites covered by search engines, cataloging of sites, the needed time for sites appearance in search engines, search capabilities, and types of search engines.

  11. Mobile Termination and Mobile Penetration

    Hurkens, Sjaak; Jeon, Doh-Shin

    2009-01-01

    In this paper, we study how access pricing affects network competition when subscription demand is elastic and each network uses non-linear prices and can apply termination-based price discrimination. In the case of a fixed per minute termination charge, we find that a reduction of the termination charge below cost has two oppos- ing effects: it softens competition but helps to internalize network externalities. The former reduces mobile penetration while the latter boosts it. We find that fi...

  12. Mobile termination and mobile penetration

    Hurkens, Sjaak

    2009-01-01

    In this paper, we study how access pricing affects network competition when subscription demand is elastic and each network uses non-linear prices and can apply termination-based price discrimination. In the case of a fixed per minute termination charge, we find that a reduction of the termination charge below cost has two opposing effects: it softens competition but helps to internalize network externalities. The former reduces mobile penetration while the latter boosts it. We find that firm...

  13. Two proofs of Fine's theorem

    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

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

    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.

  15. Integrating PROOF Analysis in Cloud and Batch Clusters

    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.

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

    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.

  17. 28 CFR 79.13 - Proof of physical presence for the requisite period and proof of participation onsite during a...

    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...

  18. Search-Order Independent State Caching

    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...

  19. Proof of the Wave Nature of Plants

    Wagner, Orvin

    2008-03-01

    I assume plants operate with a set of frequencies. These frequencies and the means of these frequencies are equal in all directions. We can then write (vh/λ)avh=(vv/λ)avv where the subscripts h and v represent horizontal and vertical respectively and av is average,. or vv/vh=(1/λh)av/(1/λv)av. I use an internodal spacing as λ/2 or the the distance between adjacent branches, leaves, etc. The ratios, vv/vh, are ratios of small integers for sufficient samplings. For example, for Ponderosa pine the ratio is 3/1 or for delicious apple 4/3. Note that these ratios represent the shape of the tree or other plant and their interactions with gravity. These ratios are derivable by other means such as use the ratio of # of horizontal needles per unit length from a horizontal sample to the # of needles per unit length from a vertical sample from p-pine. Or measure the vertical and horizontal velocities. My literature provides many other proofs of the wave nature of plants. I suggest that the waves in and related waves outside of plants (outside 4.9 m/s) are a dark matter related since they travel at such low velocities. See my present web site at home.budget.net/˜oedphd.

  20. Natural tuning: towards a proof of concept

    Dubovsky, Sergei; Gorbenko, Victor; Mirbabayi, Mehrdad

    2013-09-01

    The cosmological constant problem and the absence of new natural physics at the electroweak scale, if confirmed by the LHC, may either indicate that the nature is fine-tuned or that a refined notion of naturalness is required. We construct a family of toy UV complete quantum theories providing a proof of concept for the second possibility. Low energy physics is described by a tuned effective field theory, which exhibits relevant interactions not protected by any symmetries and separated by an arbitrary large mass gap from the new "gravitational" physics, represented by a set of irrelevant operators. Nevertheless, the only available language to describe dynamics at all energy scales does not require any fine-tuning. The interesting novel feature of this construction is that UV physics is not described by a fixed point, but rather exhibits asymptotic fragility. Observation of additional unprotected scalars at the LHC would be a smoking gun for this scenario. Natural tuning also favors TeV scale unification.

  1. Duan's fixed point theorem: Proof and generalization

    Martin Arkowitz

    2006-02-01

    Full Text Available Let X be an H-space of the homotopy type of a connected, finite CW-complex, f:X→X any map and pk:X→X the kth power map. Duan proved that pkf:X→X has a fixed point if k≥2. We give a new, short and elementary proof of this. We then use rational homotopy to generalize to spaces X whose rational cohomology is the tensor product of an exterior algebra on odd dimensional generators with the tensor product of truncated polynomial algebras on even dimensional generators. The role of the power map is played by a θ-structure μθ:X→X as defined by Hemmi-Morisugi-Ooshima. The conclusion is that μθf and fμθ each has a fixed point.

  2. Tritium proof-of-principle pellet injector

    Fisher, P.W.

    1991-07-01

    The tritium proof-of-principle (TPOP) experiment was designed and built by Oak Ridge National Laboratory (ORNL) to demonstrate the formation and acceleration of the world's first tritium pellets for fueling of future fusion reactors. The experiment was first used to produce hydrogen and deuterium pellets at ORNL. It was then moved to the Tritium Systems Test Assembly at Los Alamos National Laboratory for the production of tritium pellets. The injector used in situ condensation to produce cylindrical pellets in a 1-m-long, 4-mm-ID barrel. A cryogenic 3 He separator, which was an integral part of the gun assembly, was capable of lowering 3 He levels in the feed gas to <0.005%. The experiment was housed to a glovebox for tritium containment. Nearly 1500 pellets were produced during the course of the experiment, and about a third of these were pure tritium or mixtures of deuterium and tritium. Over 100 kCi of tritium was processed through the experiment without incident. Tritium pellet velocities of 1400 m/s were achieved with high-pressure hydrogen propellant. The design, operation, and results of this experiment are summarized. 34 refs., 44 figs., 3 tabs

  3. A new proof-of-principle contraband detection system

    Sredniawski, J.J.; Debiak, T.; Kamykowski, E.; Rathke, J. [Northrop Grumman Corp., Bethpage, NY (United States). Advanced Technology and Development Center; Schmor, P.; Altman, A.; Rogers, J.; Boyd, J. [British Columbia Univ., Vancouver, BC (Canada). TRIUMF Facility; Brondo, J. [Scientific Innovations, Inc., East Hampton, NY (United States)

    1995-12-01

    A new concept for a CDS has been developed under a Phase I ARPA funded program; it uses gamma resonance absorption (GRA) to detect certain illegal drugs that may be transported in man-portable containers. A high detection probability for heroin and cocaine is possible with a device that is also searching for explosives. Elemental detection of both N and Cl is utilized, and with tomography, a 3D density image of the elements is generated. Total density image is also developed. These two together may be used with considerable confidence in determining if heroin or cocaine is present in the interrogated containers in a small quantity (1 kg). The CDS employs a high current ({ge}10 mA) DC accelerator that produces a beam of 1.75 or 1.89 MeV protons. These protons impact a target with coatings of {sup 13}C and {sup 34}S. Depending on the coating, the resultant resonant gamma rays are preferentially absorbed in either {sup 14}N or {sup 35}Cl. The resonant gammas come off the target in a conical fan at 80.7{degree} for N and 82{degree} for Cl; a common array of segmented BGO detectors is used over an arc of 53{degree} to provide input to an imaging subsystem. The tomography makes use of rotation and vertical translation of a baggage carousel holding typically 18 average sized bags for batch processing of the contents. The single proton accelerator and target can supply multiple detection stations with the appropriate gammas, a feature that may lead to very high throughput potential approaching 2000 bags/hr. Each detection station can operate somewhat independently from the others. This paper presents the overall requirements, design, operating principles, and characteristics of the CDS proof-of-principle device developed in the Phase I program.

  4. Selection of Air Terminal Device

    Nielsen, Peter V.

    This paper discusses the selection of the air terminal device for the experiments and numerical prediction in the International Energy Agency Annex 20 work: Air Flow Pattern within Buildings,......This paper discusses the selection of the air terminal device for the experiments and numerical prediction in the International Energy Agency Annex 20 work: Air Flow Pattern within Buildings,...

  5. The practice of terminal discharge.

    Radha Krishna, Lalit Kumar; Murugam, Vengadasalam; Quah, Daniel Song Chiek

    2017-01-01

    'Terminal discharges' are carried out in Singapore for patients who wish to die at home. However, if due diligence is not exercised, parallels may be drawn with euthanasia. We present a theoretical discussion beginning with the definition of terminal discharges and the reasons why they are carried out in Singapore. By considering the intention behind terminal discharges and utilising a multidisciplinary team to deliberate on the clinical, social and ethical intricacies with a patient- and context-specific approach, euthanasia is avoided. It is hoped that this will provide a platform for professionals in palliative medicine to negotiate challenging issues when arranging a terminal discharge, so as to avoid the pitfall of committing euthanasia in a country such as Singapore where euthanasia is illegal. It is hoped that a set of guidelines for terminal discharges may someday be realised to assist professionals in Singapore and around the world.

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

    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.

  7. Visual Considerations in the Presentation of Mathematical Proofs

    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.

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

    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.

  9. Is your automated system disaster proof?

    Baird, P.W.; Priest, S.A.

    1990-01-01

    Disaster-proofing a system has four basic steps: (1) development of a disaster recovery plan; (2) creation and enforcement of procedures for developing and maintaining off-site back-ups for data, vital records, and documentation; (3) a performance test of the disaster recovery plan; and (4) the on-going maintenance of a plans currency and the periodic testing of the plant. The development of a complete disaster recovery plan has many elements: the operating environment for the system; the criteria under which an off-site recovery would be initiated; the back-up schedule and locations of all data; vital records and documentation; the steps required to recover the system; and any modifications necessitated by the off-site operating environment. Creation and enforcement of procedures for developing and maintaining current backups for all data, vital records, and documentation in a designated off-site location represent the second and most crucial step for ensuring an automated system can successfully survive a disaster. To effectively test any plan, a disaster scenario must be developed and performed by a disaster recovery team required to recover and operate the system in the off-site environment using nothing more than the disaster recovery plan and off-site information and data. Finally, the last step for ensuring that a system can survive a disaster is the maintenance of the plans currency and the continued performance of disaster recovery tests. As the environment surrounding a system changes a disaster recovery plan must be updated to reflect these changes. Equally important to the maintenance of currency is the on-going performance of disaster recovery tests on a periodic basis

  10. Skolem and pessimism about proof in mathematics.

    Cohen, Paul J

    2005-10-15

    Attitudes towards formalization and proof have gone through large swings during the last 150 years. We sketch the development from Frege's first formalization, to the debates over intuitionism and other schools, through Hilbert's program and the decisive blow of the Gödel Incompleteness Theorem. A critical role is played by the Skolem-Lowenheim Theorem, which showed that no first-order axiom system can characterize a unique infinite model. Skolem himself regarded this as a body blow to the belief that mathematics can be reliably founded only on formal axiomatic systems. In a remarkably prescient paper, he even sketches the possibility of interesting new models for set theory itself, something later realized by the method of forcing. This is in contrast to Hilbert's belief that mathematics could resolve all its questions. We discuss the role of new axioms for set theory, questions in set theory itself, and their relevance for number theory. We then look in detail at what the methods of the predicate calculus, i.e. mathematical reasoning, really entail. The conclusion is that there is no reasonable basis for Hilbert's assumption. The vast majority of questions even in elementary number theory, of reasonable complexity, are beyond the reach of any such reasoning. Of course this cannot be proved and we present only plausibility arguments. The great success of mathematics comes from considering 'natural problems', those which are related to previous work and offer a good chance of being solved. The great glories of human reasoning, beginning with the Greek discovery of geometry, are in no way diminished by this pessimistic view. We end by wishing good health to present-day mathematics and the mathematics of many centuries to come.

  11. Ports and Terminals : Planning and Functional Design

    Groenveld, R.; Velsink, H.

    1993-01-01

    1. Maritime transport, means and commodities 3. Principles of integrated port planning 4. Planning and design of a port's water areas 5. Port terminals - introduction 6. Conventional general cargo terminals 7. Container terminals 8. Oil & liquid gas terminals 9. Dry bulk cargo terminals 10. Fishery

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

    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.

  13. A nonperturbative proof of Dijkgraaf-Vafa conjecture

    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.

  14. 27 CFR 19.277 - Measuring devices and proofing instruments.

    2010-04-01

    ... proof or volume. (b) Instruments. Hydrometers and thermometers used by proprietors to gauge spirits... made in conjunction with the volumetric measurement of spirits by meter. If a meter does not have a...

  15. The quadratic reciprocity law a collection of classical proofs

    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. A Simple Proof of Cauchy's Surface Area Formula

    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.

  17. A Coordinate-Based Proof of the Scallop Theorem

    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.

  18. Construction of state-independent proofs for quantum contextuality

    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.

  19. The Standard of Proof in Criminal Proceedings: the Threshold to ...

    Hanna_AZ

    The standard of proof, along with other basic notions in the law of evidence, ... testimony. Among the different theories and formulations surrounding the beyond a .... rule, the prosecution are obliged (i) to prove that the accused committed the.

  20. 27 CFR 30.32 - Determination of proof obscuration.

    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...

  1. Circular, explosion-proof lamp provides uniform illumination

    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.

  2. Litigation-proof patents: avoiding the most common patent mistakes

    Goldstein, Larry M

    2014-01-01

    "Litigation-Proof Patents: Avoiding the Most Common Patent Mistakes explains the principles of excellent patents, presents the ten most common errors in patents, and details a step-by-step method for avoiding these common errors...

  3. An Elementary Proof of the Polynomial Matrix Spectral Factorization Theorem

    Ephremidze, Lasha

    2010-01-01

    A very simple and short proof of the polynomial matrix spectral factorization theorem (on the unit circle as well as on the real line) is presented, which relies on elementary complex analysis and linear algebra.

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

    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

  5. On the burden of proof in civil procedure

    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

  6. Palliative pharmacological sedation for terminally ill adults.

    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

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

    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....

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

    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...

  9. Evaluation of predator-proof fenced biodiversity projects

    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...

  10. Structuring Interactive Correctness Proofs by Formalizing Coding Idioms

    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...

  11. Reversal burden of proof on corruption in Indonesia

    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...

  12. Meta Search Engines.

    Garman, Nancy

    1999-01-01

    Describes common options and features to consider in evaluating which meta search engine will best meet a searcher's needs. Discusses number and names of engines searched; other sources and specialty engines; search queries; other search options; and results options. (AEF)

  13. Earthquake proof device for nuclear power plant building

    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.)

  14. Proof Pad: A New Development Environment for ACL2

    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.

  15. CIRCULATING MOVING BED COMBUSTION PROOF OF CONCEPT

    Jukkola, Glen

    2010-06-30

    Circulating Moving Bed (CMB) combustion technology has its roots in traditional circulating fluidized bed technology and involves a novel method of solid fuel combustion and heat transfer. CMB technology represents a step change in improved performance and cost relative to conventional PC and FBC boilers. The CMB heat exchanger preheats the energy cycle working fluid, steam or air, to the high temperature levels required in systems for advanced power generation. Unique features of the CMB are the reduction of the heat transfer surfaces by about 60% as a result of the enhanced heat transfer rates, flexibility of operation, and about 30% lower cost over existing technology. The CMB Phase I project ran from July 2001 through March 2003. Its objective was to continue development of the CMB technology with a series of proof of concept tests. The tests were conducted at a scale that provided design data for scale up to a demonstration plant. These objectives were met by conducting a series of experiments in ALSTOM Power’s Multi-use Test Facility (MTF). The MTF was modified to operate under CMB conditions of commercial interest. The objective of the tests were to evaluate gas-to-solids heat transfer in the upper furnace, assess agglomeration in the high temperature CMB bubbling bed, and evaluate solids-to-tube heat transfer in the moving bed heat exchanger. The Phase I program results showed that there are still some significant technical uncertainties that needed to be resolved before the technology can be confidently scaled up for a successful demonstration plant design. Work remained in three primary areas: • scale up of gas to solid heat transfer • high temperature finned surface design • the overall requirements of mechanical and process design. The CMB Phase II workscope built upon the results of Phase I and specifically addressed the remaining technical uncertainties. It included a scaled MTF heat transfer test to provide the necessary data to scale up gas

  16. Efficient SAT engines for concise logics: Accelerating proof search for zero-one linear constraint systems

    Fränzle, Martin; Herde, Christian

    2003-01-01

    We investigate the problem of generalizing acceleration techniques as found in recent satisfiability engines for conjunctive normal forms (CNFs) to linear constraint systems over the Booleans. The rationale behind this research is that rewriting the propositional formulae occurring in e.g. bounde...

  17. Weldon's Search for a Direct Proof of Natural Selection and the ...

    W F R Weldon first clearly formulated the principles of naturalselection in terms of what would have to be observed innatural populations in order to conclude that natural selectionwas, indeed, acting in the manner proposed by Darwin.The approach he took was the statistical method developedby Galton, although he was ...

  18. Weldon's Search for a Direct Proof of Natural Selection and the ...

    fused, reception to Darwin's principle of natural selection in the .... This was the context in which he developed a particulate theory of heredity – 'pangenesis'. He ... Thereafter, following the independent rediscovery of Mendelian laws by de Vries, .... differences in traits among individuals that could be transmitted to offspring.

  19. Weldon's Search for a Direct Proof of Natural Selection and the ...

    Plants under Domestication in 1868, there was considerable dis- agreement about whether natural selection could indeed work the. Keywords. Evolution, struggle for existence, natural selection, type, variations, heredity, biometrics, Mendelism. way Darwin had suggested and be the driving engine of adap- tive evolution.

  20. Mechanisms of DNA replication termination.

    Dewar, James M; Walter, Johannes C

    2017-08-01

    Genome duplication is carried out by pairs of replication forks that assemble at origins of replication and then move in opposite directions. DNA replication ends when converging replication forks meet. During this process, which is known as replication termination, DNA synthesis is completed, the replication machinery is disassembled and daughter molecules are resolved. In this Review, we outline the steps that are likely to be common to replication termination in most organisms, namely, fork convergence, synthesis completion, replisome disassembly and decatenation. We briefly review the mechanism of termination in the bacterium Escherichia coli and in simian virus 40 (SV40) and also focus on recent advances in eukaryotic replication termination. In particular, we discuss the recently discovered E3 ubiquitin ligases that control replisome disassembly in yeast and higher eukaryotes, and how their activity is regulated to avoid genome instability.

  1. JCO criticality accident termination operation

    金盛 正至

    2010-01-01

    In 2001, we summarized the circumstances surrounding termination of the JCO criticality accident based on testimony in the Mito District Court on December 17, 2001. JCO was the company for uranium fuels production in Japan. That document was assembled based on actual testimony in the belief that a description of the work involved in termination of the accident would be useful in some way for preventing nuclear disasters in the future. This year is the tenth year of the JCO criticality acciden...

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

    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.

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

    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

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

    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…

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

    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…

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

    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.

  7. Co-constructive Logics for Proofs and Refutations

    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.

  8. Reversal burden of proof on corruption in Indonesia

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

    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...

  10. Positions priming in briefly presented search arrays

    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...

  11. Terminal Disease: A Biolaw Management

    Francisco Rivas García

    2017-10-01

    Full Text Available There are numerous and varied pathologies that can lead to a state of terminal illness, provoking numerous bioethical dilemmas that are inherent and specific to each circumstance. The objective of the present work has been to provide a current and useful analysis that can help to understand the main bioethical problems, from the perspective of biolaw that must be solved in the inevitable path towards the end of life that any terminal illness implies. The methodology used included a study of bibliographic documentation in the main databases of interest in bioethics. It can be concluded that the biolaw is a very useful tool that helps health care professionals and relatives when it comes to the analysis and decision making regarding a terminal illness. Independently of medical practice based on protocols and scientific knowledge, it is necessary to ensure that not everything that can legally be carried out is accepted in the field of biolaw.

  12. Digital autonomous terminal access communications

    Novacki, S.

    1987-01-01

    A significant problem for the Bus Monitor Unit is to identify the source of a given transmission. This problem arises from the fact that the label which identifies the source of the transmission as it is put into the bus is intercepted by the Digital Autonomous Terminal Access Communications (DATAC) terminal and removed from the transmission. Thus, a given subsystem will see only data associated with a label and never the identifying label itself. The Bus Monitor must identify the source of the transmission so as to be able to provide some type of error identification/location in the event that some problem with the data transmission occurs. Steps taken to alleviate this problem by modifications to the DATAC terminal are discussed.

  13. SIRKULASI TERMINAL PENUMPANG KAPAL LAUT

    Etsa Purnama Sari

    2014-01-01

    Full Text Available Wilayah Indonesia yang terdiri dari pulau dan perairan menjadikan angkutan laut menjadi salah satu sarana transportasi yang cukup efektif di negara ini. Daya angkut yang besar dan beragam serta biaya yang lebih murah dengan jarak jangkauan yang luas, membuat sarana ini banyak diminati oleh masyarakat sekaligus juga merupakan pendukung utama perkembangan kehidupan sosial budaya dan roda perekonomian. Untuk mendukung proses transportasi laut ini perlu sarana berupa pelabuhan. Pelabuhan dalam melakukan pelayanan terhadap kapal memiliki beberapa fasilitas pokok dan penunjang yang wajib dimiliki. Salah satunya adalah terminal penumpang kapal laut dengan berbagai kegiatan di dalamnya untuk kedatangan maupun keberangkatan. Masalah ketidaknyamanan dalam berkegiatan, jauhnya akses sirkulasi antara satu kegiatan dengan kegiatan kegiatan embarkasi dan debarkasi yang tidak teratur, pembagian jalur sirkulasi penumpang dan pengantar penumpang yang tidak jelas seringkali muncul akibat sirkulasi yang tidak direncanakan dengan baik pada terminal penumpang kapal laut. Bahkan tidak jarang dapat menimbulkan adanya calo tiket hingga adanya penumpang tanpa tiket yang dapat masuk ke dalam kapal hingga kapal berlayar. Perencanaan sebuah sirkulasi yang tepat pada terminal penumpang kapal laut memerlukan kajian terhadap unsur-unsur sirkulasi seperti pencapaian, pola sirkulasi, jalur sirkulasi, serta bentuk ruang sirkulasi. Kajian unsur-unsur ini selanjutnya diselidiki melalui penelusuran masalah dengan analisis deskriptif melalui penggambaran objek penelitian yang terdapat pada Terminal Penumpang Pelabuhan International Yokohama, Terminal Penumpang Pelabuhan Kobe dan Terminal Penumpang Pelabuhan Osanbashi Hall   As one of the largest archipelago country, sea transportation acts as one of the most effective means of transportation in Indonesia. Large and diverse carrying capacity, lower cost with wide range of distances, are factors which making sea

  14. NASA Finds Direct Proof of Dark Matter

    2006-08-01

    Dark matter and normal matter have been wrenched apart by the tremendous collision of two large clusters of galaxies. The discovery, using NASA's Chandra X-ray Observatory and other telescopes, gives direct evidence for the existence of dark matter. "This is the most energetic cosmic event, besides the Big Bang, which we know about," said team member Maxim Markevitch of the Harvard-Smithsonian Center for Astrophysics in Cambridge, Mass. Lensing Illustration Gravitational Lensing Explanation These observations provide the strongest evidence yet that most of the matter in the universe is dark. Despite considerable evidence for dark matter, some scientists have proposed alternative theories for gravity where it is stronger on intergalactic scales than predicted by Newton and Einstein, removing the need for dark matter. However, such theories cannot explain the observed effects of this collision. "A universe that's dominated by dark stuff seems preposterous, so we wanted to test whether there were any basic flaws in our thinking," said Doug Clowe of the University of Arizona at Tucson, and leader of the study. "These results are direct proof that dark matter exists." Animation of Cluster Collision Animation of Cluster Collision In galaxy clusters, the normal matter, like the atoms that make up the stars, planets, and everything on Earth, is primarily in the form of hot gas and stars. The mass of the hot gas between the galaxies is far greater than the mass of the stars in all of the galaxies. This normal matter is bound in the cluster by the gravity of an even greater mass of dark matter. Without dark matter, which is invisible and can only be detected through its gravity, the fast-moving galaxies and the hot gas would quickly fly apart. The team was granted more than 100 hours on the Chandra telescope to observe the galaxy cluster 1E0657-56. The cluster is also known as the bullet cluster, because it contains a spectacular bullet-shaped cloud of hundred

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

    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...

  16. Completing the proof of “Generic quantum nonlocality”

    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.

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

    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.

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

    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

  19. Completing the proof of “Generic quantum nonlocality”

    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.

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

    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.

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

    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.

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

    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...

  3. Towards Verification of Constituent Systems through Automated Proof

    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. What Determines Joint Venture Termination?

    Nielsen, Bo Bernhard

    2012-01-01

    Joint venture (JV) research continues to flourish as researchers seek to advance our understanding of why so many JVs fail. Cui and Kumar (this issue) take a contingency approach to explain how and why business relatedness may provide new insights as to what determines JV termination. This commen......Joint venture (JV) research continues to flourish as researchers seek to advance our understanding of why so many JVs fail. Cui and Kumar (this issue) take a contingency approach to explain how and why business relatedness may provide new insights as to what determines JV termination...

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

    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.

  6. Modernizing quantum annealing using local searches

    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)

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

    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.

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

    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.

  9. Proof of cipher text ownership based on convergence encryption

    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.

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

    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....

  11. Proof of the fundamental BCJ relations for QCD amplitudes

    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. A proof of the conjecture on the twin primes

    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.

  13. Special integrals of Gradshteyn and Ryzhik the proofs

    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

  14. Bribe-proof Rules in the Division Problem

    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...

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

    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...

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

    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.

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

    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.

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

    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.

  19. The management of terminal delirium

    Macleod A

    2006-01-01

    Full Text Available Delirium is a distressing and disturbing clinical event. Palliation of the symptoms by multi-component interventions can be effective. The goal of interventions is to raise the deliriant threshold by combined symptom relief, environmental, psychological and pharmacological interventions. Haloperidol remains the drug of choice for delirium. For intractable delirious symptoms at the end of life terminal sedation may be indicated.

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

    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.