29 CFR 1919.27 - Unit proof tests-winches, derricks and gear accessory thereto.
2010-07-01
..., goosenecks, eye plates, eye bolts, or other attachments), shall be tested with a proof load which shall..., a qualified technical office of an accredited gear certification agency, with the recognition that...
29 CFR 1919.71 - Unit proof test and examination of cranes.
2010-07-01
... 29 Labor 7 2010-07-01 2010-07-01 false Unit proof test and examination of cranes. 1919.71 Section... § 1919.71 Unit proof test and examination of cranes. (a) Unit proof tests of cranes shall be carried out at the following times: (1) In the cases of new cranes, before initial use and every 4 years...
29 CFR 1919.73 - Unit proof test and examination of derricks.
2010-07-01
... 29 Labor 7 2010-07-01 2010-07-01 false Unit proof test and examination of derricks. 1919.73 Section 1919.73 Labor Regulations Relating to Labor (Continued) OCCUPATIONAL SAFETY AND HEALTH... Devices § 1919.73 Unit proof test and examination of derricks. (a) Unit proof tests of derricks shall be...
76 FR 15047 - Pricing for 2010 United States Mint America the Beautiful Quarters Silver Proof SetTM
2011-03-18
... DEPARTMENT OF THE TREASURY United States Mint Pricing for 2010 United States Mint America the Beautiful Quarters Silver Proof Set\\TM\\, etc. ACTION: Pricing for 2010 United States Mint America the Beautiful Quarters Silver Proof Set TM ; 2010 United States Mint Silver Proof Set TM ; 2011 United States...
29 CFR 1919.28 - Unit proof tests-cranes and gear accessory thereto.
2010-07-01
... 29 Labor 7 2010-07-01 2010-07-01 false Unit proof tests-cranes and gear accessory thereto. 1919.28... Loads; Heat Treatment; Competent Persons § 1919.28 Unit proof tests—cranes and gear accessory thereto. (a) Except as noted in paragraph (e) of this section, cranes and other hoisting machines, together...
75 FR 10345 - Pricing for 2010 United States Mint America the Beautiful Quarters Proof Set, etc.
2010-03-05
... DEPARTMENT OF THE TREASURY United States Mint Pricing for 2010 United States Mint America the Beautiful Quarters Proof Set, etc. AGENCY: United States Mint, Department of the Treasury. ACTION: Notice. SUMMARY: The United States Mint is announcing the prices of the 2010 United States Mint America the...
78 FR 70414 - Pricing for the 2013 United States Mint Limited Edition Silver Proof SetTM
2013-11-25
... DEPARTMENT OF THE TREASURY United States Mint Pricing for the 2013 United States Mint Limited Edition Silver Proof Set TM AGENCY: United States Mint, Department of the Treasury. ACTION: Notice. SUMMARY: The United States Mint is announcing a price of $139.95 for the 2013 United States Mint Limited...
Combinatorial Proofs and Algebraic Proofs
Indian Academy of Sciences (India)
Permanent link: https://www.ias.ac.in/article/fulltext/reso/018/07/0630-0645. Keywords. Combinatorial proof; algebraic proof; binomial identity; recurrence relation; composition; Fibonacci number; Fibonacci identity; Pascal triangle. Author Affiliations. Shailesh A Shirali1. Sahyadri School Tiwai Hill, Rajgurunagar Pune 410 ...
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.
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…
Czech Academy of Sciences Publication Activity Database
Krajíček, Jan
2004-01-01
Roč. 69, č. 2 (2004), s. 387-397 ISSN 0022-4812 R&D Projects: GA AV ČR IAA1019901; GA MŠk LN00A056 Institutional research plan: CEZ:AV0Z1019905 Keywords : propositional proof system s * circuits * polynomial simulation Subject RIV: BA - General Mathematics Impact factor: 0.331, year: 2004
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
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...
International Nuclear Information System (INIS)
Malzacher, Peter; Manafov, Anar
2010-01-01
PROOF on Demand (PoD) is a set of utilities, which allows starting a PROOF cluster at user request, on any resource management system. It provides a plug-in based system, which allows to use different job submission frontends, such as LSF or gLite WMS. Main components of PoD are the PROOFAgent and the PAConsole. PROOFAgent provides the communication layer between the PROOF master on the local machine and the PROOF workers on the remote resources, possibly behind a firewall. PAConsole provides a user-friendly GUI, which is used to setup, manage, and shutdown the dynamic PROOF cluster. Installation is simple and doesn't require administrator privileges, and all the processes run in user space. PoD gives users, who don't have a centrally-administrated static PROOF cluster at their institute, the possibility to enjoy the full power of interactive analysis with PROOF.
International Nuclear Information System (INIS)
González Caballero, I; Cuesta Noriega, A; Rodríguez Marrero, A; Fernández del Castillo, E
2012-01-01
The analysis of the complex LHC data usually follows a standard path that aims at minimizing not only the amount of data but also the number of observables used. After a number of steps of slimming and skimming the data, the remaining few terabytes of ROOT files hold a selection of the events and a flat structure for the variables needed that can be more easily inspected and traversed in the final stages of the analysis. PROOF arises at this point as an efficient mechanism to distribute the analysis load by taking advantage of all the cores in modern CPUs through PROOF Lite, or by using PROOF Cluster or PROOF on Demand tools to build dynamic PROOF cluster on computing facilities with spare CPUs. However using PROOF at the level required for a serious analysis introduces some difficulties that may scare new adopters. We have developed the PROOF Analysis Framework (PAF) to facilitate the development of new analysis by uniformly exposing the PROOF related configurations across technologies and by taking care of the routine tasks as much as possible. We describe the details of the PAF implementation as well as how we succeeded in engaging a group of CMS physicists to use PAF as their daily analysis framework.
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.
DEFF Research Database (Denmark)
Puech, Matthias
2013-01-01
this correspondence by applying a series of off-the-shelf program transformations à la Danvy et al. on a type checker for the bidirectional λ-calculus, and get a type checker for the λ¯ -calculus, the proof term assignment of LJT. This functional correspondence revisits the relationship between natural deduction......It is well known in proof theory that sequent-calculus proofs differ from natural deduction proofs by “reversing” elimination rules upside down into left introduction rules. It is also well known that to each recursive, functional program corresponds an equivalent iterative, accumulator......-passing program, where the accumulator stores the continuation of the iteration, in “reversed” order. Here, we compose these remarks and show that a restriction of the intuitionistic sequent calculus, LJT, is exactly an accumulator-passing version of intuitionistic natural deduction NJ. More precisely, we obtain...
Proof Auditing Formalised Mathematics
Directory of Open Access Journals (Sweden)
Mark Miles Adams
2016-01-01
Full Text Available The first three formalisations of major mathematical proofs have heralded a new age in formalised mathematics, establishing that informal proofs at the limits of what can be understood by humans can be checked by machine. However, formalisation itself can be subject to error, and yet there is currently no accepted process in checking, or even much concern that such checks have not been performed. In this paper, we motivate why we should be concerned about correctness, and argue the need for proof auditing, to rigorously and independently check a formalisation. We discuss the issues involved in performing an audit, and propose an effective and efficient auditing process. Throughout we use the Flyspeck Project, that formalises the Kepler Conjecture proof, to illustrate our point.
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 ...
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;
Energy Technology Data Exchange (ETDEWEB)
Schmitt, Marcus [AREVA NP GmbH, Erlangen (Germany)
2013-07-01
Even before the Fukushima event occurred some German nuclear power plants (NPP) have considered flooding scenarios. As a result of one of these studies, AREVA performed an upgrade project in NPP Isar 1 with flood-proof motors as a replacement of existing air-cooled low-voltage and high-voltage motors of the emergency cooling chain. After the Fukushima event, in which the cooling chains failed, the topic flood-proof equipment gets more and more into focus. This compact will introduce different kinds of flood-proof electrical motors which are currently installed or planned for installation into NPPs over the world. Moreover the process of qualification, as it was performed during the project in NPP Isar 1, will be shown. (orig.)
International Nuclear Information System (INIS)
Schmitt, Marcus
2013-01-01
Even before the Fukushima event occurred some German nuclear power plants (NPP) have considered flooding scenarios. As a result of one of these studies, AREVA performed an upgrade project in NPP Isar 1 with flood-proof motors as a replacement of existing air-cooled low-voltage and high-voltage motors of the emergency cooling chain. After the Fukushima event, in which the cooling chains failed, the topic flood-proof equipment gets more and more into focus. This compact will introduce different kinds of flood-proof electrical motors which are currently installed or planned for installation into NPPs over the world. Moreover the process of qualification, as it was performed during the project in NPP Isar 1, will be shown. (orig.)
Indian Academy of Sciences (India)
Home; Journals; Resonance – Journal of Science Education; Volume 12; Issue 5. Gödel's Proof - Incompleteness Theorems. S M Srivastava. General Article Volume 12 Issue 5 May 2007 pp 71-84. Fulltext. Click here to view fulltext PDF. Permanent link: https://www.ias.ac.in/article/fulltext/reso/012/05/0071-0084. Keywords.
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.
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…
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.
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…
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.
Czech Academy of Sciences Publication Activity Database
Jeřábek, Emil
2012-01-01
Roč. 58, č. 3 (2012), s. 177-187 ISSN 0942-5616 R&D Projects: GA AV ČR IAA100190902; GA MŠk(CZ) 1M0545 Institutional support: RVO:67985840 Keywords : proof complexity * monotone sequent calculus Subject RIV: BA - General Mathematics Impact factor: 0.376, year: 2012 http://onlinelibrary.wiley.com/doi/10.1002/malq.201020071/full
International Nuclear Information System (INIS)
Peregrin, Jaroslav
2007-01-01
The usual way of interpreting Goedel's (1931) incompleteness result is as showing that there is a gap between truth and provability, i.e. that we can never prove everything that is true. Moreover, this result is supposed to show that there are unprovable truths which we can know to be true. This, so the story goes, shows that we are more than machines that are restricted to acting as proof systems. Hence our minds are 'not mechanical'
77 FR 69548 - Price for the 2012 Limited Edition Silver Proof SetTM
2012-11-19
... DEPARTMENT OF THE TREASURY United States Mint Price for the 2012 Limited Edition Silver Proof Set TM AGENCY: United States Mint, Department of the Treasury. ACTION: Notice. SUMMARY: The United States Mint is announcing a price of $149.95 for the 2012 Limited Edition Silver Proof Set TM . FOR FURTHER...
77 FR 15457 - Pricing for the 2012 American Eagle Silver Proof Coin
2012-03-15
... DEPARTMENT OF THE TREASURY United States Mint Pricing for the 2012 American Eagle Silver Proof Coin AGENCY: United States Mint, Department of the Treasury. ACTION: Notice. SUMMARY: The United States Mint is announcing the price of the 2012 American Eagle Silver Proof Coin. The coins will be offered...
76 FR 65563 - Pricing for 2011 American Eagle Silver Proof and Uncirculated Coins
2011-10-21
... DEPARTMENT OF THE TREASURY United States Mint Pricing for 2011 American Eagle Silver Proof and Uncirculated Coins AGENCY: United States Mint, Department of the Treasury. ACTION: Notice. SUMMARY: The United States Mint is announcing the re-pricing of the 2011 American Eagle Silver Proof and Uncirculated Coins...
76 FR 53717 - Pricing for the 2011 American Eagle Silver Proof Coin
2011-08-29
... DEPARTMENT OF THE TREASURY United States Mint Pricing for the 2011 American Eagle Silver Proof Coin AGENCY: United States Mint, Department of the Treasury. ACTION: Notice. SUMMARY: The United States Mint is announcing the re-pricing of the 2011 American Eagle Silver Proof Coin. The price of the coins...
76 FR 33026 - Pricing for the 2011 American Eagle Silver Proof Coin
2011-06-07
... DEPARTMENT OF THE TREASURY United States Mint Pricing for the 2011 American Eagle Silver Proof Coin AGENCY: United States Mint, Department of the Treasury. ACTION: Notice. SUMMARY: The United States Mint is announcing the price of the 2011 American Eagle Silver Proof Coin. The coin will be offered for...
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.
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
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...
International Nuclear Information System (INIS)
Behrenhoff, W; Ehrenfeld, W; Samson, J; Stadie, H
2011-01-01
The 'parallel ROOT facility' (PROOF) from the ROOT framework provides a mechanism to distribute the load of interactive and non-interactive ROOT sessions on a set of worker nodes optimising the overall execution time. While PROOF is designed to work on a dedicated PROOF cluster, the benefits of PROOF can also be used on top of another batch scheduling system with the help of temporary per user PROOF clusters. We will present a lightweight tool which starts a temporary PROOF cluster on a SGE based batch cluster or, via a plugin mechanism, e.g. on a set of bare desktops via ssh. Further, we will present the result of benchmarks which compare the data throughput for different data storage back ends available at the German National Analysis Facility (NAF) at DESY.
Algebraic proofs over noncommutative formulas
Czech Academy of Sciences Publication Activity Database
Tzameret, Iddo
2011-01-01
Roč. 209, č. 10 (2011), s. 1269-1292 ISSN 0890-5401 R&D Projects: GA MŠk LC505 Institutional research plan: CEZ:AV0Z10190503 Keywords : proof complexity * algebraic proof system s * frege proofs Subject RIV: BA - General Mathematics Impact factor: 0.560, year: 2011 http://www.sciencedirect.com/science/article/pii/S089054011100109X
Tamper proofing of safeguards monitors
International Nuclear Information System (INIS)
Riley, R.J.
1982-11-01
The tamper proofing of safeguards monitors is essential if the data they produce is, and can be seen to be, reliable. This report discusses the problem of tamper proofing and gives guidance on when and how to apply tamper proofing techniques. The report is split into two parts. The first concerns the fundamental problem of how much tamper proofing to apply and the second describes methods of tamper proofing and discusses their usefulness. Both sections are applicable to all safeguards monitors although particular reference will be made to doorway monitors in some cases. The phrase 'tamper proofing' is somewhat misleading as it is impossible to completely tamper proof any device. Given enough time and resources, even the most elaborate tamper proofing can be overcome. In safeguards applications we are more interested in making the device tamper resistant and tamper indicating. That is, it should be able to resist a certain amount of tampering, and if tampering proves successful, that fact should be immediately obvious. Techniques of making a device tamper indicating and tamper resistant will be described below. The phrase tamper proofing will be used throughout this report as a generic term, including both tamper resistance and tamper indicating. (author)
Analogy, Explanation, and Proof
Directory of Open Access Journals (Sweden)
John eHummel
2014-11-01
Full Text Available People are habitual explanation generators. At its most mundane, our propensity to explain allows us to infer that we should not drink milk that smells sour; at the other extreme, it allows us to establish facts (e.g., theorems in mathematical logic whose truth was not even known prior to the existence of the explanation (proof. What do the cognitive operations underlying the (inductive inference that the milk is sour have in common with the (deductive proof that, say, the square root of two is irrational? Our ability to generate explanations bears striking similarities to our ability to make analogies. Both reflect a capacity to generate inferences and generalizations that go beyond the featural similarities between a novel problem and familiar problems in terms of which the novel problem may be understood. However, a notable difference between analogy-making and explanation-generation is that the former is a process in which a single source situation is used to reason about a single target, whereas the latter often requires the reasoner to integrate multiple sources of knowledge. This small-seeming difference poses a challenge to the task of marshaling our understanding of analogical reasoning in the service of understanding explanation. We describe a model of explanation, derived from a model of analogy, adapted to permit systematic violations of this one-to-one mapping constraint. Simulation results demonstrate that the resulting model can generate explanations for novel explananda and that, like the explanations generated by human reasoners, these explanations vary in their coherence.
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.
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…
International Nuclear Information System (INIS)
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.)
Proof assistants: History, ideas and future
Indian Academy of Sciences (India)
application is and will be in computer supported modelling and verification of sys- tems. But there is still ... Introduction ... compute with them, but their main focus is on doing proofs. ..... Proof development in a type theory based proof assistant.
Burdens of Proof, Presumptions and Standards of Proof in Criminal ...
African Journals Online (AJOL)
Worku_Y
evidential and persuasive burdens of proof as between the state and the ..... scholars have observed that the evidential burden is a function of the burden of ..... required to convince judges by creating such an intensity of belief in their minds.
Proust: A Nano Proof Assistant
Directory of Open Access Journals (Sweden)
Prabhakar Ragde
2016-11-01
Full Text Available Proust is a small Racket program offering rudimentary interactive assistance in the development of verified proofs for propositional and predicate logic. It is constructed in stages, some of which are done by students before using it to complete proof exercises, and in parallel with the study of its theoretical underpinnings, including elements of Martin-Lof type theory. The goal is twofold: to demystify some of the machinery behind full-featured proof assistants such as Coq and Agda, and to better integrate the study of formal logic with other core elements of an undergraduate computer science curriculum.
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 ...
26 CFR 1.871-4 - Proof of residence of aliens.
2010-04-01
... 26 Internal Revenue 9 2010-04-01 2010-04-01 false Proof of residence of aliens. 1.871-4 Section 1... (CONTINUED) INCOME TAXES Nonresident Aliens and Foreign Corporations § 1.871-4 Proof of residence of aliens... alien within the United States has acquired residence therein for purposes of the income tax. (b...
77 FR 43662 - Price for the 2012 American Eagle Silver Proof Coin
2012-07-25
... DEPARTMENT OF THE TREASURY United States Mint Price for the 2012 American Eagle Silver Proof Coin... is lowering the price of the 2012 American Eagle Silver Proof Coin. The product will now be offered for sale at a price of $54.95. FOR FURTHER INFORMATION CONTACT: B. B. Craig, Associate Director for...
26 CFR 301.7454-2 - Burden of proof in foundation manager, etc. cases.
2010-04-01
... 26 Internal Revenue 18 2010-04-01 2010-04-01 false Burden of proof in foundation manager, etc... Actions by the United States § 301.7454-2 Burden of proof in foundation manager, etc. cases. (a) Foundation manager. In any proceeding involving the issue whether a foundation manager as defined in section...
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
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
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…
IFA proof of principle experiments
International Nuclear Information System (INIS)
Olson, C.L.
1979-01-01
IFA proof of principle experiments is discussed. Controlled beam front motion experiments are reported, which demonstrate that accurate IFA programming of the motion of the potential well at the head of an IREB has been achieved. The status of IFA ion experiments is also discussed
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.
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...
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.
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.
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.
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.
A proof of Bertrand's postulate
Directory of Open Access Journals (Sweden)
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.
Lakatos and Hersh on Mathematical Proof
Directory of Open Access Journals (Sweden)
Hossein Bayat
2015-12-01
Full Text Available The concept of Mathematical Proof has been controversial for the past few decades. Different philosophers have offered different theories about the nature of Mathematical Proof, among which theories presented by Lakatos and Hersh have had significant similarities and differences with each other. It seems that a comparison and critical review of these two theories will lead to a better understanding of the concept of mathematical proof and will be a big step towards solving many related problems. Lakatos and Hersh argue that, firstly, “mathematical proof” has two different meanings, formal and informal; and, secondly, informal proofs are affected by human factors, such as individual decisions and collective agreements. I call these two thesis, respectively, “proof dualism” and “humanism”. But on the other hand, their theories have significant dissimilarities and are by no means equivalent. Lakatos is committed to linear proof dualism and methodological humanism, while Hersh’s theory involves some sort of parallel proof dualism and sociological humanism. According to linear proof dualism, the two main types of proofs are provided in order to achieve a common goal: incarnation of mathematical concepts and methods and truth. However, according to the parallel proof dualism, two main types of proofs are provided in order to achieve two different types of purposes: production of a valid sequence of signs (the goal of the formal proof and persuasion of the audience (the goal of the informal proof. Hersh’s humanism is informative and indicates pluralism; whereas, Lakatos’ version of humanism is normative and monistic.
The direct liquefaction proof of concept program
Energy Technology Data Exchange (ETDEWEB)
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.
Formal Proofs for Nonlinear Optimization
Directory of Open Access Journals (Sweden)
Victor Magron
2015-01-01
Full Text Available We present a formally verified global optimization framework. Given a semialgebraic or transcendental function f and a compact semialgebraic domain K, we use the nonlinear maxplus template approximation algorithm to provide a certified lower bound of f over K.This method allows to bound in a modular way some of the constituents of f by suprema of quadratic forms with a well chosen curvature. Thus, we reduce the initial goal to a hierarchy of semialgebraic optimization problems, solved by sums of squares relaxations. Our implementation tool interleaves semialgebraic approximations with sums of squares witnesses to form certificates. It is interfaced with Coq and thus benefits from the trusted arithmetic available inside the proof assistant. This feature is used to produce, from the certificates, both valid underestimators and lower bounds for each approximated constituent.The application range for such a tool is widespread; for instance Hales' proof of Kepler's conjecture yields thousands of multivariate transcendental inequalities. We illustrate the performance of our formal framework on some of these inequalities as well as on examples from the global optimization literature.
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.
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
Impact- and earthquake- proof roof structure
International Nuclear Information System (INIS)
Shohara, Ryoichi.
1990-01-01
Building roofs are constituted with roof slabs, an earthquake proof layer at the upper surface thereof and an impact proof layer made of iron-reinforced concrete disposed further thereover. Since the roofs constitute an earthquake proof structure loading building dampers on the upper surface of the slabs by the concrete layer, seismic inputs of earthquakes to the buildings can be moderated and the impact-proof layer is formed, to ensure the safety to external conditions such as earthquakes or falling accidents of airplane in important facilities such as reactor buildings. (T.M.)
Bistatic SAR: Proof of Concept.
Energy Technology Data Exchange (ETDEWEB)
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.
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…
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…
Multiparty session types as coherence proofs
DEFF Research Database (Denmark)
Carbone, Marco; Montesi, Fabrizio; Schürmann, Carsten
2017-01-01
We propose a Curry–Howard correspondence between a language for programming multiparty sessions and a generalisation of Classical Linear Logic (CLL). In this framework, propositions correspond to the local behaviour of a participant in a multiparty session type, proofs to processes, and proof nor...
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
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 $\\cos\\theta=1-2\\sin^2 \\frac{\\theta}{2}$.
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…
On Callan's proof of the BPHZ theorem
International Nuclear Information System (INIS)
Lesniewski, A.
1984-01-01
The author gives an elementary proof of the BPHZ theorem in the case of the Euclidean lambdaphi 4 theory. The method of proof relies on a detailed analysis of the skeleton structure of graphs and estimates based on the Callan-Symanzik equations. (Auth.)
Interval logic. Proof theory and theorem proving
DEFF Research Database (Denmark)
Rasmussen, Thomas Marthedal
2002-01-01
of a direction of an interval, and present a sound and complete Hilbert proof system for it. Because of its generality, SIL can conveniently act as a general formalism in which other interval logics can be encoded. We develop proof theory for SIL including both a sequent calculus system and a labelled natural...
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.
Proof Mining in L1-Approximation
DEFF Research Database (Denmark)
Oliva, Paulo Borges; Kohlenbach, Ulrich
2001-01-01
In this paper, we present another case study in the general project of proof mining which means the logical analysis of prima facie non-effective proofs with the aim of extracting new computationally relevant data. We use techniques based on monotone functional interpretation developed...
Proof Mining in L1-Approximation
DEFF Research Database (Denmark)
Kohlenbach, Ulrich; Oliva, Paulo Borges
2003-01-01
n this paper, we present another case study in the general project of proof mining which means the logical analysis of prima facie non-effective proofs with the aim of extracting new computationally relevant data. We use techniques based on monotone functional interpretation developed in Kohlenbach...
Distributed analysis with PROOF in ATLAS collaboration
International Nuclear Information System (INIS)
Panitkin, S Y; Ernst, M; Ito, H; Maeno, T; Majewski, S; Rind, O; Tarrade, F; Wenaus, T; Ye, S; Benjamin, D; Montoya, G Carillo; Guan, W; Mellado, B; Xu, N; Cranmer, K; Shibata, A
2010-01-01
The Parallel ROOT Facility - PROOF is a distributed analysis system which allows to exploit inherent event level parallelism of high energy physics data. PROOF can be configured to work with centralized storage systems, but it is especially effective together with distributed local storage systems - like Xrootd, when data are distributed over computing nodes. It works efficiently on different types of hardware and scales well from a multi-core laptop to large computing farms. From that point of view it is well suited for both large central analysis facilities and Tier 3 type analysis farms. PROOF can be used in interactive or batch like regimes. The interactive regime allows the user to work with typically distributed data from the ROOT command prompt and get a real time feedback on analysis progress and intermediate results. We will discuss our experience with PROOF in the context of ATLAS Collaboration distributed analysis. In particular we will discuss PROOF performance in various analysis scenarios and in multi-user, multi-session environments. We will also describe PROOF integration with the ATLAS distributed data management system and prospects of running PROOF on geographically distributed analysis farms.
Distributed analysis with PROOF in ATLAS collaboration
Energy Technology Data Exchange (ETDEWEB)
Panitkin, S Y; Ernst, M; Ito, H; Maeno, T; Majewski, S; Rind, O; Tarrade, F; Wenaus, T; Ye, S [Brookhaven National Laboratory, Upton, NY 11973 (United States); Benjamin, D [Duke University, Durham, NC 27708 (United States); Montoya, G Carillo; Guan, W; Mellado, B; Xu, N [University of Wisconsin-Madison, Madison, WI 53706 (United States); Cranmer, K; Shibata, A [New York University, New York, NY 10003 (United States)
2010-04-01
The Parallel ROOT Facility - PROOF is a distributed analysis system which allows to exploit inherent event level parallelism of high energy physics data. PROOF can be configured to work with centralized storage systems, but it is especially effective together with distributed local storage systems - like Xrootd, when data are distributed over computing nodes. It works efficiently on different types of hardware and scales well from a multi-core laptop to large computing farms. From that point of view it is well suited for both large central analysis facilities and Tier 3 type analysis farms. PROOF can be used in interactive or batch like regimes. The interactive regime allows the user to work with typically distributed data from the ROOT command prompt and get a real time feedback on analysis progress and intermediate results. We will discuss our experience with PROOF in the context of ATLAS Collaboration distributed analysis. In particular we will discuss PROOF performance in various analysis scenarios and in multi-user, multi-session environments. We will also describe PROOF integration with the ATLAS distributed data management system and prospects of running PROOF on geographically distributed analysis farms.
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
Evaluating Google compute engine with PROOF
International Nuclear Information System (INIS)
Ganis, Gerardo; Panitkin, Sergey
2014-01-01
The advent of private and commercial cloud platforms has opened the question of evaluating the cost-effectiveness of such solution for computing in High Energy Physics . Google Compute Engine (GCE) is a IaaS product launched by Google as an experimental platform during 2012 and now open to the public market. In this contribution we present the results of a set of CPU-intensive and I/O-intensive tests we have run with PROOF on a GCE resources made available by Google for test purposes. We have run tests on large scale PROOF clusters (up to 1000 workers) to study the overall scalability of coordinated multi-process jobs. We have studied and compared the performance of ephemeral and persistent storage with PROOF-Lite on the single machines and of standard PROOF on the whole cluster. We will discuss our results in perspective, in particular with respect to the typical analysis needs of an LHC experiment.
Towards an Intelligent Tutor for Mathematical Proofs
Directory of Open Access Journals (Sweden)
Serge Autexier
2012-02-01
Full Text Available Computer-supported learning is an increasingly important form of study since it allows for independent learning and individualized instruction. In this paper, we discuss a novel approach to developing an intelligent tutoring system for teaching textbook-style mathematical proofs. We characterize the particularities of the domain and discuss common ITS design models. Our approach is motivated by phenomena found in a corpus of tutorial dialogs that were collected in a Wizard-of-Oz experiment. We show how an intelligent tutor for textbook-style mathematical proofs can be built on top of an adapted assertion-level proof assistant by reusing representations and proof search strategies originally developed for automated and interactive theorem proving. The resulting prototype was successfully evaluated on a corpus of tutorial dialogs and yields good results.
Parallel interactive data analysis with PROOF
International Nuclear Information System (INIS)
Ballintijn, Maarten; Biskup, Marek; Brun, Rene; Canal, Philippe; Feichtinger, Derek; Ganis, Gerardo; Kickinger, Guenter; Peters, Andreas; Rademakers, Fons
2006-01-01
The Parallel ROOT Facility, PROOF, enables the analysis of much larger data sets on a shorter time scale. It exploits the inherent parallelism in data of uncorrelated events via a multi-tier architecture that optimizes I/O and CPU utilization in heterogeneous clusters with distributed storage. The system provides transparent and interactive access to gigabytes today. Being part of the ROOT framework PROOF inherits the benefits of a performant object storage system and a wealth of statistical and visualization tools. This paper describes the data analysis model of ROOT and the latest developments on closer integration of PROOF into that model and the ROOT user environment, e.g. support for PROOF-based browsing of trees stored remotely, and the popular TTree::Draw() interface. We also outline the ongoing developments aimed to improve the flexibility and user-friendliness of the system
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 ...
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...
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...
A short proof of increased parabolic regularity
Directory of Open Access Journals (Sweden)
Stephen Pankavich
2015-08-01
Full Text Available We present a short proof of the increased regularity obtained by solutions to uniformly parabolic partial differential equations. Though this setting is fairly introductory, our new method of proof, which uses a priori estimates and an inductive method, can be extended to prove analogous results for problems with time-dependent coefficients, advection-diffusion or reaction diffusion equations, and nonlinear PDEs even when other tools, such as semigroup methods or the use of explicit fundamental solutions, are unavailable.
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.
Pre-service proof pressure and leak rate tests for the Qinshan CANDU project reactor buildings
International Nuclear Information System (INIS)
Petrunik, K.J.; Khan, A.; Ricciuti, R.; Ivanov, A.; Chen, S.
2003-01-01
The Qinshan CANDU Project Reactor Buildings (Units 1 and 2) have been successfully tested for the Pre-Service Proof Pressure and Integrated Leak Rate Tests. The Unit 1 tests took place from May 3 to May 9, 2002 and from May 22 to May 25, 2002, and the Unit 2 tests took place from January 21 to January 27, 2003. This paper discusses the significant steps taken at minimum cost on the Qinshan CANDU Project, which has resulted in a) very good leak rate (0.21%) for Unit 1 and excellent leak rate (0.130%) for Unit 2; b) continuous monitoring of the structural behaviour during the Proof Pressure Test, thus eliminating any repeat of the structural test due to lack of data; and c) significant schedule reduction achieved for these tests in Unit 2. (author)
A False-name-Proof Double Auction Protocol for Arbitrary Evaluation Values
Sakurai, Yuko; Yokoo, Makoto
We develop a new false-name-proof double auction protocol called the Generalized Threshold Price Double auction (GTPD) protocol. False-name-proofness generalizes strategy-proofness by incorporating the possibility of false-name bids, e.g., bids submitted using multiple e-mail addresses. An existing protocol called TPD protocol is false-name-proof but can handle only the cases where marginal utilities of each agent always decrease, while our new GTPD protocol can handle arbitrary evaluation values. When marginal utilities can increase, some bids cannot be divided into a single unit (e.g., an all-or-nothing bid). Due to the existence of such indivisible bids, meeting supply/demand becomes difficult. Furthermore, a seller/buyer can submit a false-name-bid by pretending to be a potential buyer/seller to manipulate allocations and payments. In the GTPD protocol, the auctioneer is required to absorb the supply-demand imbalance up to a given upper-bound. Also, the GTPD incorporate a new false-name-proof one-sided auction protocol that is guaranteed to sell/buy a certain number of units. Simulation results show that when the threshold price is set appropriately, this protocol can obtain a good social surplus, and the number of absorbed units is much smaller than the given upper-bound.
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. ...
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. ...
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. ...
Explosion-proof lighting units according to EC standards
Energy Technology Data Exchange (ETDEWEB)
Olenik, H; Weyer, K
1982-03-01
Electrical equipment, e.g. lights, may be the cause of ignition in explosive atmospheres unless special measures are taken to prevent ignition. For an exact definition and description of explosion protection measures, the German VDE regulations contain specifications for construction and testing. There is a special administrative procedure to ensure that these explosion protection measures are checked by an official testing authority and that electrical equipment will receive a certificate of its suitability for explosive environments. The construction specifications have been elaborated by a VDE commission and are constantly updated.
Vibration-proof FBR type reactor
International Nuclear Information System (INIS)
Kawamura, Yutaka.
1992-01-01
In a reactor container in an FBR type reactor, an outer building and upper and lower portions of a reactor container are connected by a load transmission device made of a laminated material of rubber and steel plates. Each of the reactor container and the outer building is disposed on a lower raft disposed on a rock by way of a vibration-proof device made of a laminated material of rubber and steel plates. Vibration-proof elements for providing vertical eigen frequency of the vibration-proof system comprising the reactor building and the vibration-proof device within a range of 3Hz to 5Hz are used. That is, the peak of designed acceleration for response spectrum in the horizontal direction of the reactor structural portions is shifted to side of shorter period from the main frequency region of the reactor structure. Alternatively, rigidity of the vibration-proof elements is decreased to shift the peak to the side of long period from the main frequency region. Designed seismic force can be greatly reduced both horizontally and vertically, to reduce the wall thickness of the structural members, improve the plant economy and to ensure the safety against earthquakes. (N.H.)
Santos, Richard P.
1989-04-01
IRIS Graphics, Inc., is a new start-up company chartered to develop, manufacture, and market direct digital filmless color imaging systems. IRIS is pleased to have been the recipient of the Graphic Art Technologies Foundation INTERTEC '87 Award for innovative excellence. IRIS is extremely proud to have been given this honor. IRIS was incorporated in April 1984 and received its initial funding of approximately 1 million by September 1984. The first 2044 Beta unit was installed in August 1985, and the first 2044 sales were made in December 1985 to R. R. Donnelley, the largest printer in the United States, and to G. S. Litho, the largest U.S. color separation house. In May 1986, IRIS received an additional 3 million in its second round of financing. A smaller version of the 2044, the 2024 was introduced at Lasers In Graphics in September 1986. IRIS achieved additional financing in July 1987 and completed the introduction of the new breakthrough Series 3000 again at Lasers In Graphics in September 1987 in Orlando, Florida. IRIS occupies 20,000 square feet at its new location in Bedford, Massachusetts, which located off of Route 128 in the high technology area near Boston.
Proof testing of CANDU concrete containment structures
International Nuclear Information System (INIS)
Pandey, M.D.
1996-05-01
Prior to commissioning of a CANDU reactor, a proof pressure test is required to demonstrate the structural integrity of the containment envelope. The test pressure specified by AECB Regulatory Document R-7 (1991) was selected without a rigorous consideration of uncertainties associated with estimates of accident pressure and conatinment resistance. This study was undertaken to develop a reliability-based philosophy for defining proof testing requirements that are consistent with the current limit states design code for concrete containments (CSA N287.3).It was shown that the upodated probability of failure after a successful test is always less than the original estimate
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
Data-oriented scheduling for PROOF
International Nuclear Information System (INIS)
Xu Neng; Guan Wen; Wu Sau Lan; Ganis, Gerardo
2011-01-01
The Parallel ROOT Facility - PROOF - is a distributed analysis system optimized for I/O intensive analysis tasks of HEP data. With LHC entering the analysis phase, PROOF has become a natural ingredient for computing farms at Tier3 level. These analysis facilities will typically be used by a few tenths of users, and can also be federated into a sort of analysis cloud corresponding to the Virtual Organization of the experiment. Proper scheduling is required to guarantee fair resource usage, to enforce priority policies and to optimize the throughput. In this paper we discuss an advanced priority system that we are developing for PROOF. The system has been designed to automatically adapt to unknown length of the tasks, to take into account the data location and availability (including distribution across geographically separated sites), and the {group, user} default priorities. In this system, every element - user, group, dataset, job slot and storage - gets its priority and those priorities are dynamically linked with each other. In order to tune the interplay between the various components, we have designed and started implementing a simulation application that can model various type and size of PROOF clusters. In this application a monitoring package records all the changes of them so that we can easily understand and tune the performance. We will discuss the status of our simulation and show examples of the results we are expecting from it.
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...
Teaching Syllogistics Through Gamification and Interactive Proofs
DEFF Research Database (Denmark)
Øhrstrøm, Peter; Sandborg-Petersen, Ulrik; Thorvaldsen, Steinar
2015-01-01
teaching through the use of interactive systems and also to do learning analytics based on the log-data from the use of the systems. The aim of the present paper is to investigate whether the use of gamification and an interactive proof system formulated in terms of controlled natural language can...
Czech Academy of Sciences Publication Activity Database
Peregrin, Jaroslav
-, č. 82 (2007), s. 1-10 E-ISSN 1742-6596 R&D Projects: GA ČR(CZ) GA401/04/0117 Institutional research plan: CEZ:AV0Z90090514 Keywords : Gödel * incompleteness of arithmetic * proof vs. truth Subject RIV: AA - Philosophy ; Religion http://www.iop.org/EJ/ toc /1742-6596/82/1
Proofs of Contracted Length Non-covariance
International Nuclear Information System (INIS)
Strel'tsov, V.N.
1994-01-01
Different proofs of contracted length non covariance are discussed. The way based on the establishment of interval inconstancy (dependence on velocity) seems to be the most convincing one. It is stressed that the known non covariance of the electromagnetic field energy and momentum of a moving charge ('the problem 4/3') is a direct consequence of contracted length non covariance. 8 refs
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
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 $\\mathbb{R}^3$.
Strategy-Proof Assignment Of Multiple Resources
DEFF Research Database (Denmark)
Erlanson, Albin; Szwagrzak, Karol
2015-01-01
We examine the strategy-proof allocation of multiple resources; an application is the assignment of packages of tasks, workloads, and compensations among the members of an organization. In the domain of multidimensional single-peaked preferences, we find that any allocation mechanism obtained by ...
Proof complexity of intuitionistic implicational formulas
Czech Academy of Sciences Publication Activity Database
Jeřábek, Emil
2017-01-01
Roč. 168, č. 1 (2017), s. 150-190 ISSN 0168-0072 EU Projects: European Commission(XE) 339691 - FEALORA Institutional support: RVO:67985840 Keywords : proof complexity * intuitionistic logic * implicational fragment Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.647, year: 2016 http://www.sciencedirect.com/science/article/pii/S0168007216301154
Complexity of Propositional Proofs Under a Promise
Czech Academy of Sciences Publication Activity Database
Dershowitz, N.; Tzameret, Iddo
2010-01-01
Roč. 11, č. 3 (2010), s. 1-29 ISSN 1529-3785 Institutional research plan: CEZ:AV0Z10190503 Keywords : theory * promise problems * propositional proof complexity * random 3CNF * resolution Subject RIV: BA - General Mathematics Impact factor: 1.391, year: 2010 http://dl.acm.org/ citation .cfm?doid=1740582.1740586
Complexity of Propositional Proofs Under a Promise
Czech Academy of Sciences Publication Activity Database
Dershowitz, N.; Tzameret, Iddo
2010-01-01
Roč. 11, č. 3 (2010), s. 1-29 ISSN 1529-3785 Institutional research plan: CEZ:AV0Z10190503 Keywords : theory * promise problems * propositional proof complexity * random 3CNF * resolution Subject RIV: BA - General Mathematics Impact factor: 1.391, year: 2010 http://dl.acm.org/citation.cfm?doid=1740582.1740586
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.
Decorated proofs for computational effects: States
Directory of Open Access Journals (Sweden)
Jean-Guillaume Dumas
2012-08-01
Full Text Available The syntax of an imperative language does not mention explicitly the state, while its denotational semantics has to mention it. In this paper we show that the equational proofs about an imperative language may hide the state, in the same way as the syntax does.
Short proofs for the determinant identities
Czech Academy of Sciences Publication Activity Database
Hrubeš, Pavel; Tzameret, I.
2015-01-01
Roč. 44, č. 2 (2015), s. 340-383 ISSN 0097-5397 EU Projects: European Commission(XE) 339691 - FEALORA Program:FP7 Institutional support: RVO:67985840 Keywords : proof complexity * arithmetic circuits Subject RIV: BA - General Mathematics Impact factor: 0.841, year: 2015 http://epubs.siam.org/doi/abs/10.1137/130917788
Computer-Assisted Discovery and Proof
Energy Technology Data Exchange (ETDEWEB)
Bailey, David H.; Borwein, Jonathan M.
2007-12-10
With the advent of powerful, widely-available mathematical software, combined with ever-faster computer hardware, we are approaching a day when both the discovery and proof of mathematical facts can be done in a computer-assisted manner. his article presents several specific examples of this new paradigm in action.
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.
Hash3: Proofs, Analysis and Implementation
DEFF Research Database (Denmark)
Gauravaram, Praveen
2009-01-01
This report outlines the talks presented at the winter school on Hash3: Proofs, Analysis, and Implementation, ECRYPT II Event on Hash Functions. In general, speakers may not write everything what they talk on the slides. So, this report also outlines such findings following the understanding of t...
77 FR 32716 - Price for the 2012 American Eagle San Francisco Two-Coin Silver Proof Set
2012-06-01
... DEPARTMENT OF THE TREASURY United States Mint Price for the 2012 American Eagle San Francisco Two...: The United States Mint is announcing the price of the 2012 American Eagle San Francisco Two-Coin Silver Proof Set. The coin set will be offered for sale at a price of $149.95. FOR FURTHER INFORMATION...
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.
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.
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...
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...
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...
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. ...
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...
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.
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...
The direct Flow parametric Proof of Gauss' Divergence Theorem revisited
DEFF Research Database (Denmark)
Markvorsen, Steen
The standard proof of the divergence theorem in undergraduate calculus courses covers the theorem for static domains between two graph surfaces. We show that within first year undergraduate curriculum, the flow proof of the dynamic version of the divergence theorem - which is usually considered...... we apply the key instrumental concepts and verify the various steps towards this alternative proof of the divergence theorem....
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;…
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,…
A Calculus of Circular Proofs and its Categorical Semantics
DEFF Research Database (Denmark)
Santocanale, Luigi
2002-01-01
We present a calculus of "circular proofs": the graph underlying a proof is not a finite tree but instead it is allowed to contain a certain amount of cycles.The main challenge in developing a theory for the calculus is to define the semantics of proofs, since the usual method by induction...
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...
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
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...
Multiparty Session Types as Coherence Proofs
DEFF Research Database (Denmark)
Carbone, Marco; Montesi, Fabrizio; Schürmann, Carsten
2015-01-01
We propose a Curry-Howard correspondence between a language for programming multiparty sessions and a generalisation of Classical Linear Logic (CLL). In this framework, propositions correspond to the local behaviour of a participant in a multiparty session type, proofs to processes, and proof...... normalisation to executing communications. Our key contribution is generalising duality, from CLL, to a new notion of n-ary compatibility, called coherence. Building on coherence as a principle of compositionality, we generalise the cut rule of CLL to a new rule for composing many processes communicating...... in a multiparty session. We prove the soundness of our model by showing the admissibility of our new rule, which entails deadlock-freedom via our correspondence....
A proof of the conformal collider bounds
Energy Technology Data Exchange (ETDEWEB)
Hofman, Diego M. [Institute for Theoretical Physics, University of Amsterdam, Science Park 904, Postbus 94485, 1090 GL, Amsterdam (Netherlands); Li, Daliang [Department of Physics and Astronomy, Johns Hopkins University, Baltimore, MD 21218 (United States); Meltzer, David [Department of Physics, Yale University, New Haven, CT 06511 (United States); Poland, David [Department of Physics, Yale University, New Haven, CT 06511 (United States); School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540 (United States); Rejon-Barrera, Fernando [Institute for Theoretical Physics, University of Amsterdam, Science Park 904, Postbus 94485, 1090 GL, Amsterdam (Netherlands)
2016-06-20
In this paper, we prove that the “conformal collider bounds” originally proposed in http://dx.doi.org/10.1088/1126-6708/2008/05/012 hold for any unitary parity-preserving conformal field theory (CFT) with a unique stress tensor in dimensions d≥3. In particular this implies that the ratio of central charges for a unitary 4d CFT lies in the interval (31/18)≥(a/c)≥(1/3). For superconformal theories this is further reduced to (3/2)≥(a/c)≥(1/2). The proof relies only on CFT first principles — in particular, bootstrap methods — and thus constitutes the first complete field theory proof of these bounds. We further elaborate on similar bounds for non-conserved currents and relate them to results obtained recently from deep inelastic scattering.
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...
Kant's Transcendental Arguments as Conceptual Proofs | Stapleford ...
African Journals Online (AJOL)
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,” ...
An illustration of the explanatory and discovery functions of proof
Directory of Open Access Journals (Sweden)
Michael de Villiers
2012-11-01
Full Text Available This article provides an illustration of the explanatory and discovery functions of proof with an original geometric conjecture made by a Grade 11 student. After logically explaining (proving the result geometrically and algebraically, the result is generalised to other polygons by further reflection on the proof(s. Different proofs are given, each giving different insights that lead to further generalisations. The underlying heuristic reasoning is carefully described in order to provide an exemplar for designing learning trajectories to engage students with these functions of proof.
On the proof of the first Carnot theorem in thermodynamics
International Nuclear Information System (INIS)
Morad, M R; Momeni, F
2013-01-01
The proof of the first Carnot theorem in classical thermodynamics is revisited in this study. The underlying conditions of a general proof of this principle presented by Senft (1978 Phys. Educ. 13 35–37) are explored and discussed. These conditions are analysed in more detail using a physical description of heat and work to present a simpler proof of the first principle prior to using the violation of the second law of thermodynamics. Finally, a new simple proof is also presented based on Gibbs relation. This discussion will benefit the teaching of classical thermodynamics and promote better understanding of the proof of the first Carnot theorem in general form. (paper)
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...
ProofJudge: Automated Proof Judging Tool for Learning Mathematical Logic
DEFF Research Database (Denmark)
Villadsen, Jørgen
2015-01-01
Today we have software in many artefacts, from medical devices to cars and airplanes, and the software must not only be efficient and intelligent but also reliable and secure. Tests can show the presence of bugs but cannot guarantee their absence. A machine-checked proof using mathematical logic...... pen and paper because no adequate tool was available. The learning problem is how to make abstract concepts of logic as concrete as possible. ProofJudge is a computer system and teaching approach for teaching mathematical logic and automated reasoning which augments the e-learning tool NaDeA (Natural...
ProofJudge: Automated Proof Judging Tool for Learning Mathematical Logic
DEFF Research Database (Denmark)
Villadsen, Jørgen
2016-01-01
Today we have software in many artefacts, from medical devices to cars and airplanes, and the software must not only be efficient and intelligent but also reliable and secure. Tests can show the presence of bugs but cannot guarantee their absence. A machine-checked proof using mathematical logic...... using pen and paper because no adequate tool was available. The learning problem is how to make abstract concepts of logic as concrete as possible. ProofJudge is a computer system and teaching approach for teaching mathematical logic and automated reasoning which augments the e-learning tool Na...
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.
ATAC Process Proof of Concept Final Report
Energy Technology Data Exchange (ETDEWEB)
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.
Open Assessment of Proofs in Litigation
Directory of Open Access Journals (Sweden)
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.
Duan's fixed point theorem: Proof and generalization
Directory of Open Access Journals (Sweden)
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.
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
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…
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…
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...
A portable virtual machine target for proof-carrying code
DEFF Research Database (Denmark)
Franz, Michael; Chandra, Deepak; Gal, Andreas
2005-01-01
Virtual Machines (VMs) and Proof-Carrying Code (PCC) are two techniques that have been used independently to provide safety for (mobile) code. Existing virtual machines, such as the Java VM, have several drawbacks: First, the effort required for safety verification is considerable. Second and mor...... simultaneously providing efficient justin-time compilation and target-machine independence. In particular, our approach reduces the complexity of the required proofs, resulting in fewer proof obligations that need to be discharged at the target machine....
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...
A String of Pearls: Proofs of Fermat's Little Theorem
Directory of Open Access Journals (Sweden)
Hing Lun Chan
2013-01-01
Full Text Available We discuss mechanised proofs of Fermat's Little Theorem in a variety of styles, focusing in particular on an elegant combinatorial ``necklace'' proof that has not been mechanised previously.What is elegant in prose turns out to be long-winded mechanically, and so we examine the effect of explicitly appealing to group theory. This has pleasant consequences both for the necklace proof, and also for some of the direct number-theoretic approaches.
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...
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.
Fracture flow modelling. Proof of evidence
International Nuclear Information System (INIS)
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)
Tritium proof-of-principle injector experiment
International Nuclear Information System (INIS)
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
Complete proof systems for weighted modal logic
DEFF Research Database (Denmark)
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....
Duan's fixed point theorem: proof and generalization
Directory of Open Access Journals (Sweden)
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.
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.
Proofs and generalizations of the pythagorean theorem
Directory of Open Access Journals (Sweden)
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.
Proof testing of an explosion containment vessel
Energy Technology Data Exchange (ETDEWEB)
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.
A New Small Emendation of Gödel's Ontological Proof
Czech Academy of Sciences Publication Activity Database
Hájek, Petr
2002-01-01
Roč. 71, č. 2 (2002), s. 149-164 ISSN 0039-3215 R&D Projects: GA MŠk LN00A056 Keywords : ontological proof * Gödel proof * modal logic * comprehension * positive properties Subject RIV: BA - General Mathematics
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...
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. ...
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...
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. ...
Tree Resolution Proofs of the Weak Pigeon-Hole Principle
DEFF Research Database (Denmark)
Dantchev, Stefan Stajanov; Riis, Søren
2001-01-01
We prove that any optimal tree resolution proof of PHPn m is of size 2&thetas;(n log n), independently from m, even if it is infinity. So far, only a 2Ω(n) lower bound has been known in the general case. We also show that any, not necessarily optimal, regular tree resolution proof PHPn m is bound...
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.
Another proof of Gell-Mann and Low's theorem
International Nuclear Information System (INIS)
Molinari, Luca Guido
2007-01-01
The theorem by Gell-Mann and Low is a cornerstone in quantum field theory and zero-temperature many-body theory. The standard proof is based on Dyson's time-ordered expansion of the propagator; a proof based on exact identities for the time propagator is here given
A new proof of the positive energy theorem
International Nuclear Information System (INIS)
Witten, E.
1981-01-01
A new proof is given of the positive energy theorem of classical general relativity. Also, a new proof is given that there are no asymptotically Euclidean gravitational instantons. (These theorems have been proved previously, by a different method, by Schoen and Yau). The relevance of these results to the stability of Minkowski space is discussed. (orig.)
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.
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...
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.
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
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…
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…
A Calculus of Circular Proofs and its Categorical Semantics
DEFF Research Database (Denmark)
Santocanale, Luigi
2002-01-01
We present a calculus of “circular proofs”: the graph underlying a proof is not a finite tree but instead it is allowed to contain a certain amount of cycles.The main challenge in developing a theory for the calculus is to define the semantics of proofs, since the usual method by induction...
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...
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…
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.
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
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…
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
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...
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...
A compositional proof system for the modal μ-calculus
DEFF Research Database (Denmark)
Andersen, Henrik Reif; Stirling, C.; Winskel,, G.
1994-01-01
We present a proof system for determining satisfaction between processes in a fairly general process algebra and assertions of the modal μ-calculus. The proof system is compositional in the structure of processes. It extends earlier work on compositional reasoning within the modal μ-calculus and ...
International Nuclear Information System (INIS)
Halliwell, J.J.
2014-01-01
Fine's theorem concerns the question of determining the conditions under which a certain set of probabilities for pairs of four bivalent quantities may be taken to be the marginals of an underlying probability distribution. The eight CHSH inequalities are well-known to be necessary conditions, but Fine's theorem is the striking result that they are also sufficient conditions. Here two transparent and self-contained proofs of Fine's theorem are presented. The first is a physically motivated proof using an explicit local hidden variables model. The second is an algebraic proof which uses a representation of the probabilities in terms of correlation functions. - Highlights: • A discussion of the various approaches to proving Fine's theorem. • A new physically-motivated proof using a local hidden variables model. • A new algebraic proof. • A new form of the CHSH inequalities
Integrating PROOF Analysis in Cloud and Batch Clusters
International Nuclear Information System (INIS)
Rodríguez-Marrero, Ana Y; Fernández-del-Castillo, Enol; López García, Álvaro; Marco de Lucas, Jesús; Matorras Weinig, Francisco; González Caballero, Isidro; Cuesta Noriega, Alberto
2012-01-01
High Energy Physics (HEP) analysis are becoming more complex and demanding due to the large amount of data collected by the current experiments. The Parallel ROOT Facility (PROOF) provides researchers with an interactive tool to speed up the analysis of huge volumes of data by exploiting parallel processing on both multicore machines and computing clusters. The typical PROOF deployment scenario is a permanent set of cores configured to run the PROOF daemons. However, this approach is incapable of adapting to the dynamic nature of interactive usage. Several initiatives seek to improve the use of computing resources by integrating PROOF with a batch system, such as Proof on Demand (PoD) or PROOF Cluster. These solutions are currently in production at Universidad de Oviedo and IFCA and are positively evaluated by users. Although they are able to adapt to the computing needs of users, they must comply with the specific configuration, OS and software installed at the batch nodes. Furthermore, they share the machines with other workloads, which may cause disruptions in the interactive service for users. These limitations make PROOF a typical use-case for cloud computing. In this work we take profit from Cloud Infrastructure at IFCA in order to provide a dynamic PROOF environment where users can control the software configuration of the machines. The Proof Analysis Framework (PAF) facilitates the development of new analysis and offers a transparent access to PROOF resources. Several performance measurements are presented for the different scenarios (PoD, SGE and Cloud), showing a speed improvement closely correlated with the number of cores used.
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.
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...
Jung, E.
1984-05-01
A color recording unit was designed for output and control of digitized picture data within computer controlled reproduction and picture processing systems. In order to get a color proof picture of high quality similar to a color print, together with reduced time and material consumption, a photographic color film material was exposed pixelwise by modulated laser beams of three wavelengths for red, green and blue light. Components of different manufacturers for lasers, acousto-optic modulators and polygon mirrors were tested, also different recording methods as (continuous tone mode or screened mode and with a drum or flatbed recording principle). Besides the application for the graphic arts - the proof recorder CPR 403 with continuous tone color recording with a drum scanner - such a color hardcopy peripheral unit with large picture formats and high resolution can be used in medicine, communication, and satellite picture processing.
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.
Duan's fixed point theorem: Proof and generalization
Directory of Open Access Journals (Sweden)
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:XÃ¢Â†Â’X any map and pk:XÃ¢Â†Â’X the kth power map. Duan proved that pkf:XÃ¢Â†Â’X has a fixed point if kÃ¢Â‰Â¥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 ÃŽÂ¸-structure ÃŽÂ¼ÃŽÂ¸:XÃ¢Â†Â’X as defined by Hemmi-Morisugi-Ooshima. The conclusion is that ÃŽÂ¼ÃŽÂ¸f and fÃŽÂ¼ÃŽÂ¸ each has a fixed point.
Tritium proof-of-principle pellet injector
International Nuclear Information System (INIS)
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
Sound-proof Sandwich Panel Design via Metamaterial Concept
Sui, Ni
the core material maintains the mechanical property and yields a sound transmission loss that is consistently greater than 50 dB at low frequencies. Furthermore, the absorption property of the proposed honeycomb sandwich panel was experimentally studied. The honeycomb sandwich panel shows an excellent sound absorbing performance at high frequencies by using reinforced glass fiber without adding too much mass. The effect of the panel size and the stiffness of the grid-like frame effect of the honeycomb sandwich structures on sound transmission are discussed lastly. For the second sound-proof sandwich panel design, each unit cell of the sandwich panel is replaced by a Helmholtz resonator by perforating a small hole on the top face sheet. A perfect sound absorber sandwich panel with coupled Helmholtz resonators is proposed by two types: single identical Helmholtz resonator in each unit cell and dual Helmholtz resonators with different orifices, arranged in each cell arranged periodically. The soundproof sandwich panel is modelled as a panel embedded in rigid panel and assumed as a semiinfinite space with hard boundary condition. The net/mutual impedance model is first proposed and derived by solving Kirchhoff-Helmholtz integral by using the Green's function. The thermal-viscous energy dissipation at the thermal boundary layer dominates the total energy consumed. Two types of perfect sound absorber sandwich panel are designed in the last part. Two theoretical methods: the average energy and the equivalent surface impedance method are used to predict sound absorption performance. The geometry for perfect sound absorber sandwich panel at a target frequency can be obtained when the all the Helmholtz resonators are at resonance and the surface impedance of the sandwich panel matches the air impedance. The bandwidth for the identical sandwich panel mainly depends on the neck radius. The absorptive property of the dual Helmholtz resonators type of sandwich panel is studied by
Proof of Performance Test Report MANTIS
National Research Council Canada - National Science Library
2005-01-01
... (NVESD), Humanitarian Demining Branch (HD), the assessment was conducted by HD staff members and supported by engineers from the United Kingdom under the auspices of the International Evaluation Test Program for Humanitarian Demining (ITEP...
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.
Visual Considerations in the Presentation of Mathematical Proofs
Directory of Open Access Journals (Sweden)
Lara Alcock
2010-11-01
Full Text Available This article is about visual issues in the presentation of mathematics within teaching situations. It focuses particularly on the presentation of proofs to undergraduate students. We describe some of the decisions that a lecturer must make when presenting a written proof, from the layout of individual equations to the layout of a whole argument on the page. We consider the way in which these decisions are made explicit for lecturers who construct electronic learning resources termed e-Proofs, and conclude by discussing the constraints and affordances of this technology.
Is your automated system disaster proof?
International Nuclear Information System (INIS)
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
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.
A nonperturbative proof of Dijkgraaf-Vafa conjecture
International Nuclear Information System (INIS)
Terashima, Seiji
2016-01-01
In this note we exactly compute the gaugino condensation of an arbitrary four dimensional N=1 supersymmetric gauge theory in confining phase, using the localization technique. This result gives a nonperturbative proof of the Dijkgraaf-Vafa conjecture.
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...
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.
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.
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.
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.
The Standard of Proof in Criminal Proceedings: the Threshold to ...
African Journals Online (AJOL)
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.
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...
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.
Litigation-proof patents: avoiding the most common patent mistakes
National Research Council Canada - National Science Library
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...
Logic Reduced To Bare (Proof-Theoretical) Bones
Czech Academy of Sciences Publication Activity Database
Peregrin, Jaroslav
2015-01-01
Roč. 24, č. 2 (2015), s. 193-209 ISSN 0925-8531 Institutional support: RVO:67985955 Keywords : inference * incompatibility * proof theory * intuitionistic logic Subject RIV: AA - Philosophy ; Religion Impact factor: 0.450, year: 2015
On the burden of proof in civil procedure
Directory of Open Access Journals (Sweden)
Keča Ranko
2013-01-01
Full Text Available The appliance of burden of proof rules is conceived of assumption that evidences are taken and that court didn't reach the required degree of conviction of a particular fact, what implies limitation of application of these rules on proceedings in which the judgment is rendered after the plenary proceedings. The Code of Civil Procedure (CCP has no suitable answers for the problems arising from new conception of the principle of party control of facts and means of proof in Serbian litigation legislature, by which the court has no more power to take the evidence ex offo. There is no answer to the question how should court conduct when evidence is not taken because of a lack of parties' indication of the means of proof. In this case courts practice somehow wider conception of burden of proof rules, which however has no explicit legal ground. They are applying them even though evidences are not taken. In any case it would be useful to reformulate basic rule of burden of proof in manner which would correspondent to the new conception of the principle of party presentation. The rule of burden of proof applies when the high degree of conviction of facts is demanded from the court, in order to render the judgment. Consequently this rule loses its' sense when mere probability of factual findings is demanded. The broader conception of parties' representation principle however does not liberate court from his responsibility to clarify facts that should be base for adjudication. Circumstance that CCP does mention the principle of material truth anymore should not be seen as argument for liberation of mentioned responsibility. It is still expected from the court to be active. Only when joint effort of the court and parties is left without of goal, in sense that court doesn't reach the high degree conviction, there would be ground for burden of proof rule's application. In this situation court also must justify why he couldn't reach required degree of
A short list color proof of Grotzsch's theorem
DEFF Research Database (Denmark)
Thomassen, Carsten
2000-01-01
We give a short proof of the result that every planar graph of girth $5$is $3$-choosable and hence also of Gr\\"{o}tzsch's theorem saying that everyplanar triangle-free graph is $3$-colorable.......We give a short proof of the result that every planar graph of girth $5$is $3$-choosable and hence also of Gr\\"{o}tzsch's theorem saying that everyplanar triangle-free graph is $3$-colorable....
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...
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...
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...
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...
Earthquake proof device for nuclear power plant building
International Nuclear Information System (INIS)
Okada, Yasuo.
1991-01-01
The structure of the present invention enables three dimensional vibration proof, i.e., in horizontal and vertical directions of a reactor container building. That is, each of the reactor container building and a reactor auxiliary building is adapted as an independent structure. The periphery of the reactor container building is surrounded by the reactor auxiliary building. The reactor auxiliary building is supported against the ground by way of a horizontal vibration proof device. The reactor container building is supported against the ground by way of a three-dimensional vibration proof device that prevents vibrations in both of the horizontal directions, and the vertical directions. The reactor container building is connected to the auxiliary building by way of a vertical vibration proof device. With such a constitution, although the reactor container building is vibration proof against both of the horizontal and the vertical vibrations, the vertical vibration proofness is an extension of inherent vertical vibration period. Accordingly, the head of the building undergoes rocking vibrations. However, since the reactor container building is connected to the reactor auxiliary building, the rocking vibrations are prevented by the reactor auxiliary building. As a result, safety upon occurrence of an earthquakes can be ensured. (I.S.)
Proof Pad: A New Development Environment for ACL2
Directory of Open Access Journals (Sweden)
Caleb Eggensperger
2013-04-01
Full Text Available Most software development projects rely on Integrated Development Environments (IDEs based on the desktop paradigm, with an interactive, mouse-driven user interface. The standard installation of ACL2, on the other hand, is designed to work closely with Emacs. ACL2 experts, on the whole, like this mode of operation, but students and other new programmers who have learned to program with desktop IDEs often react negatively to the process of adapting to an unfamiliar form of interaction. This paper discusses Proof Pad, a new IDE for ACL2. Proof Pad is not the only attempt to provide ACL2 IDEs catering to students and beginning programmers. The ACL2 Sedan and DrACuLa systems arose from similar motivations. Proof Pad builds on the work of those systems, while also taking into account the unique workflow of the ACL2 theorem proving system. The design of Proof Pad incorporated user feedback from the outset, and that process continued through all stages of development. Feedback took the form of direct observation of users interacting with the IDE as well as questionnaires completed by users of Proof Pad and other ACL2 IDEs. The result is a streamlined interface and fast, responsive system that supports using ACL2 as a programming language and a theorem proving system. Proof Pad also provides a property-based testing environment with random data generation and automated interpretation of properties as ACL2 theorem definitions.
CIRCULATING MOVING BED COMBUSTION PROOF OF CONCEPT
Energy Technology Data Exchange (ETDEWEB)
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
Wireless Roadside Inspection Proof of Concept Test Final Report
Energy Technology Data Exchange (ETDEWEB)
Capps, Gary J [ORNL; Franzese, Oscar [ORNL; Knee, Helmut E [ORNL; Plate, Randall S [ORNL; Lascurain, Mary Beth [ORNL
2009-03-01
The U.S. Department of Transportation (DOT) FMCSA commissioned the Wireless Roadside Inspection (WRI) Program to validate technologies and methodologies that can improve safety through inspections using wireless technologies that convey real-time identification of commercial vehicles, drivers, and carriers, as well as information about the condition of the vehicles and their drivers. It is hypothesized that these inspections will: -- Increase safety -- Decrease the number of unsafe commercial vehicles on the road; -- Increase efficiency -- Speed up the inspection process, enabling more inspections to occur, at least on par with the number of weight inspections; -- Improve effectiveness -- Reduce the probability of drivers bypassing CMV inspection stations and increase the likelihood that fleets will attempt to meet the safety regulations; and -- Benefit industry -- Reduce fleet costs, provide good return-on-investment, minimize wait times, and level the playing field. The WRI Program is defined in three phases which are: Phase 1: Proof of Concept Test (POC) Testing of commercially available off-the-shelf (COTS) or near-COTS technology to validate the wireless inspection concept. Phase 2: Pilot Test Safety technology maturation and back office system integration Phase 3: Field Operational Test Multi-vehicle testing over a multi-state instrumented corridor This report focuses on Phase 1 efforts that were initiated in March, 2006. Technical efforts dealt with the ability of a Universal Wireless Inspection System (UWIS) to collect driver, vehicle, and carrier information; format a Safety Data Message Set from this information; and wirelessly transmit a Safety Data Message Set to a roadside receiver unit or mobile enforcement vehicle.
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.
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…
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…
Energy Technology Data Exchange (ETDEWEB)
Van Hoorik, P.; Westerga, R. [Energy Valley, Groningen (Netherlands)
2011-05-15
The SmartProofs program aims to develop tools which must show that the principle of a Smart Power System (SPS) works and how. An SPS can ensure that the supply and demand of electricity in the grid is balanced, even in case more decentralized energy techniques will be put into use. This final report summarizes the main results and conclusions of the SmartProofs program. As part of the SPS program attention is paid to the impacts on the girds, the effects of centralized and decentralized management, disaster resilience, pricing models, potential benefits of control and new business models [Dutch] Het SmartProofs programma heeft tot doel om een concept van een Smart Power System (SPS) te ontwikkelen waarmee kan worden aangetoond dat het principe van een SPS werkt en op welke manier. Een SPS kan zorgen dat het aanbod van elektriciteit op het net op elk moment van de dag overeenkomt met de vraag, ook als er straks veel meer decentrale energietechnieken gebruikt worden waarmee zowel de vraag als het aanbod van elektriciteit onvoorspelbaar wordt. Dit eindrapport geeft een overzicht van de belangrijkste resultaten en conclusies van het SmartProofs programma. Het programma heeft in de werkpakketten deelvraagstukken rondom SmartProofS onderzocht rondom de effecten op onze energienetten, de effecten van zowel centrale- als decentrale aansturing, disaster resilience, prijsmodellen, mogelijke baten van aansturing en nieuwe business modellen.
Co-constructive Logics for Proofs and Refutations
Directory of Open Access Journals (Sweden)
Trafford James
2015-01-01
Full Text Available This paper considers logics which are formally dual to intuitionistic logic in order to investigate a co-constructive logic for proofs and refutations. This is philosophically motivated by a set of problems regarding the nature of constructive truth, and its relation to falsity. It is well known both that intuitionism can not deal constructively with negative information, and that defining falsity by means of intuitionistic negation leads, under widely-held assumptions, to a justification of bivalence. For example, we do not want to equate falsity with the non-existence of a proof since this would render a statement such as “pi is transcendental” false prior to 1882. In addition, the intuitionist account of negation as shorthand for the derivation of absurdity is inadequate, particularly outside of purely mathematical contexts. To deal with these issues, I investigate the dual of intuitionistic logic, co-intuitionistic logic, as a logic of refutation, alongside intuitionistic logic of proofs. Direct proof and refutation are dual to each other, and are constructive, whilst there also exist syntactic, weak, negations within both logics. In this respect, the logic of refutation is weakly paraconsistent in the sense that it allows for statements for which, neither they, nor their negation, are refuted. I provide a proof theory for the co-constructive logic, a formal dualizing map between the logics, and a Kripke-style semantics. This is given an intuitive philosophical rendering in a re-interpretation of Kolmogorov's logic of problems.
Reversal burden of proof on corruption in Indonesia
Directory of Open Access Journals (Sweden)
Hibnu Nugroho
2018-03-01
Full Text Available Corruption becomes the greatest enemy most countries face including Indonesia. Commitment to eradicate corruption significantly increases yet it would be meaningless if it is not supported by adequate legislation to implement the law effectively. Reversal burden of proof essentially aims to facilitate law enforcers to seek and disclose assets a suspect owns allegedly as corruption crime. The principle of reversal burden of proof was originated from Anglo-Saxon countries and this still applies to certain cases such as bribery-related gratifications as Malaysia and Singapore implement. In Indonesia, provisions on the principle of reversal burden of proof have been long recognized even since 1960 on the first law on corruption crimes. Nevertheless, for more than a half of century, the provision on reversal burden of proof has never been implemented. It occurs since articles which govern the issues barely provide clear regulation. It only mentions the principle yet never issues an implemented regulation to support the principle. In regards to this, the research is aimed at investigating, seeking and analyzing the weaknesses in implementing the principle of reversal burden of proof in corruption crimes recently as well as discussing obstacles in law enforcement.
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...
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
Computer-aided proofs for multiparty computation with active security
DEFF Research Database (Denmark)
Haagh, Helene; Karbyshev, Aleksandr; Oechsner, Sabine
2018-01-01
Secure multi-party computation (MPC) is a general cryptographic technique that allows distrusting parties to compute a function of their individual inputs, while only revealing the output of the function. It has found applications in areas such as auctioning, email filtering, and secure...... teleconference. Given its importance, it is crucial that the protocols are specified and implemented correctly. In the programming language community it has become good practice to use computer proof assistants to verify correctness proofs. In the field of cryptography, EasyCrypt is the state of the art proof...... public-key encryption, signatures, garbled circuits and differential privacy. Here we show for the first time that it can also be used to prove security of MPC against a malicious adversary. We formalize additive and replicated secret sharing schemes and apply them to Maurer's MPC protocol for secure...
Completing the proof of “Generic quantum nonlocality”
Energy Technology Data Exchange (ETDEWEB)
Gachechiladze, Mariami; Gühne, Otfried, E-mail: otfried.guehne@uni-siegen.de
2017-04-18
In a paper by Popescu and Rohrlich a proof has been presented showing that any pure entangled multiparticle quantum state violates some Bell inequality. We point out a gap in this proof, but we also give a construction to close this gap. It turns out that with some extra effort all the results from the aforementioned publication can be proven. Our construction shows how two-particle entanglement can be generated via performing local projections on a multiparticle state. - Highlights: • A proof is completed, showing that any pure entangled multiparticle quantum state violates some Bell inequality. • The results demonstrate how an multi-qubit state can be transformed by local measurements to a two-qubit entangled state. • The extension to higher dimensions is discussed.
US NDC Modernization: Service Oriented Architecture Proof of Concept
Energy Technology Data Exchange (ETDEWEB)
Hamlet, Benjamin R. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Encarnacao, Andre Villanova [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Jackson, Keilan R. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Hays, Ian A. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Barron, Nathan E. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Simon, Luke B. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Harris, James M. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Young, Christopher J. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
2014-12-01
This report is a progress update on the US NDC Modernization Service Oriented Architecture (SOA) study describing results from a proof of concept project completed from May through September 2013. Goals for this proof of concept are 1) gain experience configuring, using, and running an Enterprise Service Bus (ESB), 2) understand the implications of wrapping existing software in standardized interfaces for use as web services, and 3) gather performance metrics for a notional seismic event monitoring pipeline implemented using services with various data access and communication patterns. The proof of concept is a follow on to a previous SOA performance study. Work was performed by four undergraduate summer student interns under the guidance of Sandia staff.
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
Completing the proof of “Generic quantum nonlocality”
International Nuclear Information System (INIS)
Gachechiladze, Mariami; Gühne, Otfried
2017-01-01
In a paper by Popescu and Rohrlich a proof has been presented showing that any pure entangled multiparticle quantum state violates some Bell inequality. We point out a gap in this proof, but we also give a construction to close this gap. It turns out that with some extra effort all the results from the aforementioned publication can be proven. Our construction shows how two-particle entanglement can be generated via performing local projections on a multiparticle state. - Highlights: • A proof is completed, showing that any pure entangled multiparticle quantum state violates some Bell inequality. • The results demonstrate how an multi-qubit state can be transformed by local measurements to a two-qubit entangled state. • The extension to higher dimensions is discussed.
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.
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.
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...
Towards Verification of Constituent Systems through Automated Proof
DEFF Research Database (Denmark)
Couto, Luis Diogo Monteiro Duarte; Foster, Simon; Payne, R
2014-01-01
This paper explores verification of constituent systems within the context of the Symphony tool platform for Systems of Systems (SoS). Our SoS modelling language, CML, supports various contractual specification elements, such as state invariants and operation preconditions, which can be used...... to specify contractual obligations on the constituent systems of a SoS. To support verification of these obligations we have developed a proof obligation generator and theorem prover plugin for Symphony. The latter uses the Isabelle/HOL theorem prover to automatically discharge the proof obligations arising...... from a CML model. Our hope is that the resulting proofs can then be used to formally verify the conformance of each constituent system, which is turn would result in a dependable SoS....
Between prohibition and proof of need
International Nuclear Information System (INIS)
Haltiner, E. W.
2003-01-01
This article discusses the consequences of new Swiss legislation on the use of chloro-fluoro-carbons (CFC) in refrigeration and air-conditioning units. In particular, the initial replacement of refrigerants that deplete the ozone layer with CFC products is discussed and the climate warming issues associated with global warming potential of these CFCs are examined. The measures set out in the new materials decree that bans substances with a long-term stability in certain appliances and that demands the adherence to the newest technical standards for operation and maintenance are described. The options of refraining from using cooling apparatus at all or the use of other possible solutions for meeting cooling needs using natural working fluids are discussed and the associated problems are discussed. The article is completed with a table giving figures on ecological impact of various substances and a summary of current regulations
The proof-of-concept experiment for the spiral line induction accelerator
Energy Technology Data Exchange (ETDEWEB)
Putnam, S D; Bailey, V L; Smith, J; Lidestri, J; Thomas, H; Lackner, H; Nishimoto, H [Pulse Sciences, Inc., San Leandro, CA (United States)
1997-12-31
A proof-of-concept experiment (POCE) for the Spiral Line Induction Accelerator (SLIA) is underway at Pulse Sciences, Inc. to demonstrate a new compact high current ({>=} few kiloamperes) recirculating induction accelerator for high power ({>=} 100 kW) commercial processing and other applications. Hardware has been fabricated to generate 9.5 MeV electron beams at 2 and 10 kA by recirculating the beam for two passes through each of two 1.5 MeV accelerating units. Initial experiments have demonstrated acceleration of 2 and 10 kA beams to 5.5 MeV by transport around a complete turn with two passes through a single accelerating unit and work is currently in progress to complete the full POCE. Experimental results to date are reported. (author). 5 figs., 14 refs.
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.
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.
Coqoon - An IDE for Interactive Proof Development in Coq
DEFF Research Database (Denmark)
Faithfull, Alexander; Bengtson, Jesper; Tassi, Enrico
2016-01-01
User interfaces for interactive proof assistants have always lagged behind those for mainstream programming languages. Whereas integrated development environments—IDEs—have support for features like project management, version control, dependency analysis and incremental project compilation, “IDE...... these projects using the Eclipse common build system. Coqoon takes advantage of the latest features of Coq, including asynchronous and parallel processing of proofs, and—when used together with a third-party OCaml extension for Eclipse—can even be used to work on large developments containing Coq plugins....
Proof of the fundamental BCJ relations for QCD amplitudes
International Nuclear Information System (INIS)
Cruz, Leonardo de la; Kniss, Alexander; Weinzierl, Stefan
2015-01-01
The fundamental BCJ-relation is a linear relation between primitive tree amplitudes with different cyclic orderings. The cyclic orderings differ by the insertion place of one gluon. The coefficients of the fundamental BCJ-relation are linear in the Lorentz invariants 2p_ip_j. The BCJ-relations are well established for pure gluonic amplitudes as well as for amplitudes in N=4 super-Yang-Mills theory. Recently, it has been conjectured that the BCJ-relations hold also for QCD amplitudes. In this paper we give a proof of this conjecture. The proof is valid for massless and massive quarks.
A proof of the conjecture on the twin primes
Energy Technology Data Exchange (ETDEWEB)
Zuo-ling, Zhou [Department of Lingnan college, Sun Yat-sen University GuangZhou, GuangDong, 510275 (China)
2016-06-08
In this short note, we have proved the conjecture on twin primes using some thoughts of the set theory. Firstly, using the original sieve method and a new notation(concept)introduced by myself, the conjecture on twin primes is summed up as an elementary successive limit, afterwards we form a subsequence of positive integers,and using it,we prove that the successive limits are commutative and complete the proof of the conjecture on twin primes We also give a more straightforward proof of the conjecture.
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
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...
29 CFR 1919.30 - Examinations subsequent to unit tests.
2010-07-01
... 29 Labor 7 2010-07-01 2010-07-01 false Examinations subsequent to unit tests. 1919.30 Section 1919... Treatment; Competent Persons § 1919.30 Examinations subsequent to unit tests. (a) After satisfactory completion of the unit proof load tests required by §§ 1919.27 and 1919.28, the cargo gear and all component...
Directory of Open Access Journals (Sweden)
Andreas J. Stylianides
2011-08-01
Full Text Available The concept of proof is central to meaningful learning of mathematics, but is hard for students to learn. A serious misconception dominant amongst students at all levels of schooling is that empirical arguments are proofs. An important question, then, is the following: What knowledge might enable teachers to help students overcome this misconception? Earlier research led to construction of a significant but rather incomplete ‘knowledge package’ for teaching in this area. Major elements of this knowledge package are summarised and its further development is contributed to by discussing a research-based instructional intervention found to be effective in helping secondary students begin to overcome the misconception that empirical arguments are proofs. Implications for mathematics teacher education are considered.
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.
A Survey of Noninteractive Zero Knowledge Proof System and Its Applications
Directory of Open Access Journals (Sweden)
Huixin Wu
2014-01-01
Full Text Available Zero knowledge proof system which has received extensive attention since it was proposed is an important branch of cryptography and computational complexity theory. Thereinto, noninteractive zero knowledge proof system contains only one message sent by the prover to the verifier. It is widely used in the construction of various types of cryptographic protocols and cryptographic algorithms because of its good privacy, authentication, and lower interactive complexity. This paper reviews and analyzes the basic principles of noninteractive zero knowledge proof system, and summarizes the research progress achieved by noninteractive zero knowledge proof system on the following aspects: the definition and related models of noninteractive zero knowledge proof system, noninteractive zero knowledge proof system of NP problems, noninteractive statistical and perfect zero knowledge, the connection between noninteractive zero knowledge proof system, interactive zero knowledge proof system, and zap, and the specific applications of noninteractive zero knowledge proof system. This paper also points out the future research directions.
Normal Forms for Fuzzy Logics: A Proof-Theoretic Approach
Czech Academy of Sciences Publication Activity Database
Cintula, Petr; Metcalfe, G.
2007-01-01
Roč. 46, č. 5-6 (2007), s. 347-363 ISSN 1432-0665 R&D Projects: GA MŠk(CZ) 1M0545 Institutional research plan: CEZ:AV0Z10300504 Keywords : fuzzy logic * normal form * proof theory * hypersequents Subject RIV: BA - General Mathematics Impact factor: 0.620, year: 2007
Ontological Proofs of Existence and Non-Existence
Czech Academy of Sciences Publication Activity Database
Hájek, Petr
2008-01-01
Roč. 90, č. 2 (2008), s. 257-262 ISSN 0039-3215 R&D Projects: GA AV ČR IAA100300503 Institutional research plan: CEZ:AV0Z10300504 Keywords : ontological proofs * existence * non-existence * Gödel * Caramuel Subject RIV: BA - General Mathematics
Bully Proofing: What One District Learned about Improving School Climate.
Berkey, Leonard G.; Keyes, Barbara J.; Longhurst, James E.
2001-01-01
Collaborating with school officials, a group of concerned parents implemented a bully-proofing program throughout their school district. After two years, the results are encouraging; it was received with enthusiasm at the elementary level. Further study will be needed to determine how these principles might be applied at the secondary level. (MKA)
Enhancing Proof Writing via Cross-Institutional Peer Review
Ernst, Dana C.; Hodge, Angie; Schultz, Andrew
2015-01-01
In the Spring of 2011, two of the authors of this paper taught number theory courses at their respective institutions. Twice during the semester, students in each class submitted proofs of two to three theorems to be peer reviewed by students in the other class. Each student wrote anonymous and formal referee reports of the submitted theorems,…
Electronic Vehicle Identification Architecture and Proof of Concept
Passchier, I.; Chevrollier, N.G.; Mulder,A.; Vliet,A.O.T.van
2009-01-01
An architecture and a proof of concept for Electronic Vehicle Identification have beendeveloped. The system has been successfully tested in a pilot with 23 participants over a period of three months and a total distance of 75.000 km travelled. The architecture consists of a functional definition, a
Burdens and Standards of Proof in Possession of Unexplained ...
African Journals Online (AJOL)
Cases such as Workineh Kenbato & Amelework Dalie demonstrate the confusion regarding who bears what burden, for which facts the burden would apply and the required standard of proof thereof. Despite efforts to use the prosecution of illicit enrichment as a weapon in the combat against corruption, there are concerns ...
20 CFR 726.312 - Burdens of proof.
2010-04-01
... 20 Employees' Benefits 3 2010-04-01 2010-04-01 false Burdens of proof. 726.312 Section 726.312 Employees' Benefits EMPLOYMENT STANDARDS ADMINISTRATION, DEPARTMENT OF LABOR FEDERAL COAL MINE HEALTH AND SAFETY ACT OF 1969, AS AMENDED BLACK LUNG BENEFITS; REQUIREMENTS FOR COAL MINE OPERATOR'S INSURANCE Civil...
26 CFR 20.2014-5 - Proof of credit.
2010-04-01
... each inheritance or succession tax. (c) In addition to the information required under paragraphs (a... Internal Revenue INTERNAL REVENUE SERVICE, DEPARTMENT OF THE TREASURY (CONTINUED) ESTATE AND GIFT TAXES ESTATE TAX; ESTATES OF DECEDENTS DYING AFTER AUGUST 16, 1954 Credits Against Tax § 20.2014-5 Proof of...
An Elementary Proof of a Converse Mean-Value Theorem
Almeida, Ricardo
2008-01-01
We present a new converse mean value theorem, with a rather elementary proof. [The work was supported by Centre for Research on Optimization and Control (CEOC) from the "Fundacaopara a Ciencia e a Tecnologia" FCT, co-financed by the European Community Fund FEDER/POCTI.
28 CFR 79.16 - Proof of medical condition.
2010-07-01
... contain a verified diagnosis of leukemia, the Radiation Exposure Compensation Program will notify the... Cancer Institute can make a diagnosis of leukemia to a reasonable degree of medical certainty: (i) Bone... COMPENSATION ACT Eligibility Criteria for Claims Relating to Leukemia § 79.16 Proof of medical condition. (a...
Open proofs and open terms: a basis for interactive logic
Geuvers, J.H.; Jojgov, G.I.; Bradfield, J.
2002-01-01
When proving a theorem, one makes intermediate claims, leaving parts temporarily unspecified. These ‘open’ parts may be proofs but also terms. In interactive theorem proving systems, one prominently deals with these ‘unfinished proofs’ and ‘open terms’. We study these ‘open phenomena’ from the point
Teaching logic using a state-of-art proof assistant
Directory of Open Access Journals (Sweden)
Maxim Hendriks
2010-06-01
Full Text Available This article describes the system ProofWeb developed for teaching logic to undergraduate computer science students. The system is based on the higher order proof assistant Coq, and is made available to the students through an interactive web interface. Part of this system is a large database of logic problems. This database will also hold the solutions of the students. The students do not need to install anything to be able to use the system (not even a browser plug-in, and the teachers are able to centrally track progress of the students. The system makes the full power of Coq available to the students, but simultaneously presents the logic problems in a way that is customary in undergraduate logic courses. Both styles of presenting natural deduction proofs (Gentzen-style `tree view' and Fitch-style `box view' are supported. Part of the system is a parser that indicates whether the students used the automation of Coq to solve their problems or that they solved it themselves using only the inference rules of the logic. For these inference rules dedicated tactics for Coq have been developed. The system has already been used in type theory courses and logic undergraduate courses. The ProofWeb system can be tried at http://proofweb.cs.ru.nl/.
Proof of a conjecture of Colliot-Th\\'el\\`ene
Denef, Jan
2011-01-01
We prove a conjecture of Colliot-Th\\'el\\`ene that implies the Ax-Kochen Theorem on p-adic forms. We obtain it as an easy consequence of a diophantine excision theorem whose proof forms the body of the present paper.
31 CFR 341.4 - Proof of purchase.
2010-07-01
... 31 Money and Finance: Treasury 2 2010-07-01 2010-07-01 false Proof of purchase. 341.4 Section 341.4 Money and Finance: Treasury Regulations Relating to Money and Finance (Continued) FISCAL SERVICE... of birth, social security account number and his classification (i.e., self-employed individual or...
28 CFR 79.54 - Proof of primary lung cancer.
2010-07-01
... 28 Judicial Administration 2 2010-07-01 2010-07-01 false Proof of primary lung cancer. 79.54... cancer. (a) In determining whether a claimant developed primary lung cancer following pertinent... conclusion that a claimant developed primary lung cancer must be supported by medical documentation. To prove...
28 CFR 79.64 - Proof of primary lung cancer.
2010-07-01
... 28 Judicial Administration 2 2010-07-01 2010-07-01 false Proof of primary lung cancer. 79.64... cancer. (a) In determining whether a claimant developed primary lung cancer following pertinent... claimant. A conclusion that a claimant developed primary lung cancer must be supported by medical...
28 CFR 79.45 - Proof of primary lung cancer.
2010-07-01
... 28 Judicial Administration 2 2010-07-01 2010-07-01 false Proof of primary lung cancer. 79.45... cancer. (a) In determining whether a claimant developed primary lung cancer following pertinent... conclusion that a claimant developed primary lung cancer must be supported by medical documentation. To prove...
5 CFR 843.406 - Proof of dependency.
2010-01-01
... natural child who lived with the employee or retiree in a regular parent-child relationship at the time of... who did not live with the employee or retiree in a regular parent-child relationship and for whom a... considerable value; (5) Proof of coverage of the child as a family member under the employee's or retiree's...
A revelation principle for obviously strategy-proof implementation
Mackenzie, Andrew
2018-01-01
We prove that if a stochastic (social choice) rule has an obviously strategy-proof (OSP) implementation (Li, 2016), then it has such an implementation through a randomized round table mechanism, where the administrator randomly selects a game form in which the agents take turns making public
6 CFR 27.325 - Burden of proof.
2010-01-01
... 6 Domestic Security 1 2010-01-01 2010-01-01 false Burden of proof. 27.325 Section 27.325 Domestic Security DEPARTMENT OF HOMELAND SECURITY, OFFICE OF THE SECRETARY CHEMICAL FACILITY ANTI-TERRORISM... burden of proving the facts necessary to support the challenged administrative action at every proceeding...
7 CFR 1430.605 - Proof of production.
2010-01-01
... establish the commercial marketing and production history of the dairy operation so that dairy production...) Adequate proof of production history of the dairy operation under paragraph (b) of this section must be based on milk marketing statements obtained from the dairy operation's milk handler or marketing...
7 CFR 1430.305 - Proof of production.
2010-01-01
... commercial marketing and production history of the dairy operation so that production and spoilage losses can... dairy herd increases or decreases to the satisfaction of FSA. (c) Adequate proof of production history of the dairy operation under paragraph (b) of this section must be based on milk marketing statements...
A geometric proof of confluence by decreasing diagrams
Klop, J.W.; Oostrom, V. van; Vrijer, R. de
The criterion for confluence using decreasing diagrams is a generalization of several well-known confluence criteria in abstract rewriting, such as the strong confluence lemma. We give a new proof of the decreasing diagram theorem based on a geometric study of in finite reduction diagrams, arising
Independent Study Workbooks for Proofs in Group Theory
Alcock, Lara; Brown, Gavin; Dunning, Clare
2015-01-01
This paper describes a small-scale research project based on workbooks designed to support independent study of proofs in a first course on abstract algebra. We discuss the lecturers' aims in designing the workbooks, and set these against a background of research on students' learning of group theory and on epistemological beliefs and study habits…
Break-Even Point for a Proof Slip Operation
Anderson, James F.
1972-01-01
Break-even analysis is applied to determine what magnitude of titles added per year is sufficient to utilize economically Library of Congress proof slips and a Xerox 914 copying machine in the cataloging operation of a library. A formula is derived, and an example of its use is given. (1 reference) (Author/SJ)
Why and How Mathematicians Read Proofs: An Exploratory Study
Weber, Keith; Mejia-Ramos, Juan Pablo
2011-01-01
In this paper, we report a study in which nine research mathematicians were interviewed with regard to the goals guiding their reading of published proofs and the type of reasoning they use to reach these goals. Using the data from this study as well as data from a separate study (Weber, "Journal for Research in Mathematics Education" 39:431-459,…
"Rabbit Proof Fence": A Struggle for Cultural Existence
Al-Momani, Hassan Ali Abdullah
2016-01-01
The main goal of this paper is to depict the struggle for cultural existence in "Rabbit Proof Fence." It also reflects the cultural conflict represented in the three aboriginal girls' characters which is due to their rejection and resistance for the colonialists' culture. Besides, the paper presents the cognitive analysis of the cultural…
Using Disks as Models for Proofs of Series
Somchaipeng, Tongta; Kruatong, Tussatrin; Panijpan, Bhinyo
2012-01-01
Exploring and deriving proofs of closed-form expressions for series can be fun for students. However, for some students, a physical representation of such problems is more meaningful. Various approaches have been designed to help students visualize squares of sums and sums of squares; these approaches may be arithmetic-algebraic or combinatorial…
A Combinatorial Proof of a Result on Generalized Lucas Polynomials
Directory of Open Access Journals (Sweden)
Laugier Alexandre
2016-09-01
Full Text Available We give a combinatorial proof of an elementary property of generalized Lucas polynomials, inspired by [1]. These polynomials in s and t are defined by the recurrence relation 〈n〉 = s〈n-1〉+t〈n-2〉 for n ≥ 2. The initial values are 〈0〉 = 2; 〈1〉= s, respectively.
Semiotic and Theoretic Control in Argumentation and Proof Activities
Arzarello, Ferdinando; Sabena, Cristina
2011-01-01
We present a model to analyze the students' activities of argumentation and proof in the graphical context of Elementary Calculus. The theoretical background is provided by the integration of Toulmin's structural description of arguments, Peirce's notions of sign, diagrammatic reasoning and abduction, and Habermas' model for rational behavior.…
An Elementary Proof of a Criterion for Linear Disjointness
Dobbs, David E.
2013-01-01
An elementary proof using matrix theory is given for the following criterion: if "F"/"K" and "L"/"K" are field extensions, with "F" and "L" both contained in a common extension field, then "F" and "L" are linearly disjoint over "K" if (and only if) some…
A Simple Correctness Proof of the Direct-Style Transformation
DEFF Research Database (Denmark)
Nielsen, Lasse Riechstein
2002-01-01
-pass higher-order CPS transformation, and were complicated by having to reason about higher-order functions. In contrast, this work is based on a one-pass CPS transformation that is both compositional and first-order, and therefore the proof simply proceeds by structural induction on syntax....
Civil Cases Proof Peculiarities of Road Traffic Accidents Damages
Directory of Open Access Journals (Sweden)
Polyakov D. N.
2012-11-01
Full Text Available The author reveals proof peculiarities in civil cases of reparation of damages harmed by road traffic accident, in relation to the determination of a respondent (debtor. In the article are analyzed the appropriate norms of the RF Civil code regulating the rules and conditions of civil liability for damage caused by using a transport facility as a source of danger
Hard-type nonlocality proof for two maximally entangled particles
International Nuclear Information System (INIS)
Kalamidas, D.
2005-01-01
Full text: We present, for the first time, a Hardy-type proof of nonlocality for two maximally entangled particles in a four-dimensional total Hilbert space. Furthermore, the violation of local realistic predictions occurs for 25 % of trials, exceeding the 9 % maximum obtained by Hardy for nonmaximally entangled states. (author)
The proof of the pudding is in the eating
van Eijk, N.
2014-01-01
The Netherlands is among the few countries that have put specific net neutrality standards in place. It was the first country to do so in the European Union. It remains to be seen if these rules are working or if they are just another example of symbolic regulation: the proof of the pudding is in
28 CFR 79.26 - Proof of medical condition.
2010-07-01
... diagnosis, that authorizes the Program to contact the appropriate state cancer or tumor registry. The Program will accept as proof of medical condition verification from the state cancer or tumor registry... death. (5) Primary cancer of the esophagus. (i) Pathology report of tissue biopsy or surgical resection...
Lakatos' Proofs and Refutations Comes Alive in an Elementary Classroom.
Atkins, Sandra L.
1997-01-01
Presents an alternative pedagogy implicit in Imre Lakatos's "Proofs and Refutations: The Logic of Mathematical Discovery." Lakatos reveals that learning mathematics is a discourse-laden activity in which it is acceptable, if not preferable, to refute conjecture. Provides examples of using a Lakatosian approach in an elementary classroom.…
Validation techniques for object-oriented proof outlines
Pierik, C.
2006-01-01
This thesis presents a proof outline logic for a simple object-oriented programming language. The language has all object-oriented features of popular programming languages like Java and C#. In particular, it supports inheritance, field shadowing, aliasing, dynamic object creation, subtype
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. The standard rules were presented with all the important exclusions such as presumption of law and fact or prima facie evidence. The author analyses the effect of these institutions on burden of proof in medical cases. The difference between presumptions of fact and prima facie evidence was analysed and explained. This paper also describes the importance of the res ipsa loquitur rule in United Kingdom and USA. This paper includes numerous High Court sentences on evidential and medical issues.
Semantics and correctness proofs for programs with partial functions
International Nuclear Information System (INIS)
Yakhnis, A.; Yakhnis, V.
1996-01-01
This paper presents a portion of the work on specification, design, and implementation of safety-critical systems such as reactor control systems. A natural approach to this problem, once all the requirements are captured, would be to state the requirements formally and then either to prove (preferably via automated tools) that the system conforms to spec (program verification), or to try to simultaneously generate the system and a mathematical proof that the requirements are being met (program derivation). An obstacle to this is frequent presence of partially defined operations within the software and its specifications. Indeed, the usual proofs via first order logic presuppose everywhere defined operations. Recognizing this problem, David Gries, in ''The Science of Programming,'' 1981, introduced the concept of partial functions into the mainstream of program correctness and gave hints how his treatment of partial functions could be formalized. Still, however, existing theorem provers and software verifiers have difficulties in checking software with partial functions, because of absence of uniform first order treatment of partial functions within classical 2-valued logic. Several rigorous mechanisms that took partiality into account were introduced [Wirsing 1990, Breu 1991, VDM 1986, 1990, etc.]. However, they either did not discuss correctness proofs or departed from first order logic. To fill this gap, the authors provide a semantics for software correctness proofs with partial functions within classical 2-valued 1st order logic. They formalize the Gries treatment of partial functions and also cover computations of functions whose argument lists may be only partially available. An example is nuclear reactor control relying on sensors which may fail to deliver sense data. This approach is sufficiently general to cover correctness proofs in various implementation languages
Mancarella, P.; Terreni, G.; Sadri, F.; Toni, F.; Endriss, U.
2009-01-01
We present the CIFF proof procedure for abductive logic programming with constraints, and we prove its correctness. CIFF is an extension of the IFF proof procedure for abductive logic programming, relaxing the original restrictions over variable quantification (allowedness conditions) and
Towards a climate-proof Netherlands. Summary routeplanner
International Nuclear Information System (INIS)
Van Drunen, M.
2007-03-01
There is no doubt about it: the climate is changing and the effects are now tangible and predictable. Scientific research has shown that even if we make significant reductions in greenhouse gas emissions (mitigation), climate change cannot be prevented. Which is why we have to adapt to make the effects of the changing climate acceptable: the Netherlands must be made climate-proof. To stimulate climate-proofing, four ministries and the Climate changes Spatial Planning (CcSP), Living with Water (LmW) and Habiforum research programmes have established a National Programme on Adapting Spatial Planning to Climate Change (ARK). The core research questions examined by ARK are: What is the nature and scale of the observable and expected impacts of climate change for various themes and economic sectors?; What spatial issues do they raise?; How can we tackle these spatial issues?; What dilemmas (technical, administrative, economic, social) will we face when trying to resolve these issues? The Routeplanner is the scientific arm of ARK: the three research programmes, assisted by other research institutes, supply ARK with scientific information and insights on climate-proofing the spatial development of the Netherlands. This brochure summarises the outcome of phase 2 of Routeplanner, which took place in 2006. It consisted of a Climate-proofing Baseline Assessment, a review (Quickscan) of knowledge gaps, formulation of adaptation strategies, a qualitative assessment of adaptation options, a quantitative assessment of adaptation options and identification of case studies. This brochure answers the following questions, as far as current scientific understanding permits: How will climate change affect the Netherlands?; What are the consequences of climate change for the Netherlands?; What must be done?; When must we act?; What examples are there of climate-proof strategies?; What next? The main conclusion of the Routeplanner is that climate change can cause considerable damage in
41 CFR 60-30.19 - Objections; exceptions; offer of proof.
2010-07-01
... exceptions to the Administrative Law Judge's recommendations and conclusions. (c) Offer of proof. An offer of...; offer of proof. 60-30.19 Section 60-30.19 Public Contracts and Property Management Other Provisions... EXECUTIVE ORDER 11246 Hearings and Related Matters § 60-30.19 Objections; exceptions; offer of proof. (a...
Relativistic particle dynamics: Lagrangian proof of the no-interaction theorem
International Nuclear Information System (INIS)
Marmo, G.; Mukunda, N.; Sudarshan, E.C.G.
1983-11-01
An economical proof is given, in the Lagrangian framework, of the No Interaction Theorem of relativistic particle mechanics. It is based on the assumption that there is a Lagrangian, which if singular is allowed to lead at most to primary first class constraints. The proof works with Lagrange rather than Poisson brackets, leading to considerable simplifications compared to other proofs
A Simple Proof of the Theorem Concerning Optimality in a One-Dimensional Ergodic Control Problem
International Nuclear Information System (INIS)
Fujita, Y.
2000-01-01
We give a simple proof of the theorem concerning optimality in a one-dimensional ergodic control problem. We characterize the optimal control in the class of all Markov controls. Our proof is probabilistic and does not need to solve the corresponding Bellman equation. This simplifies the proof
Parity proofs of the Kochen–Specker theorem based on 60 complex rays in four dimensions
International Nuclear Information System (INIS)
Waegell, Mordecai; Aravind, P K
2011-01-01
It is pointed out that the 60 complex rays in four dimensions associated with a system of two qubits yield over 10 9 critical parity proofs of the Kochen–Specker theorem. The geometrical properties of the rays are described, an overview of the parity proofs contained in them is given and examples of some of the proofs are exhibited. (paper)
Philosophy of mathematics an introduction to a world of proofs and pictures
Brown, James Robert
1999-01-01
This text discusses the great philosophers and the importance of mathematics to their thought. It includes topics such as: the mathematical image; platonism; picture-proofs; applied mathematics; Hilbert and Godel; knots and nations; definitions; picture-proofs and Wittgenstein; and computation, proof and conjecture.
A simple proof of Debreu's Gap Lemma | Ouwehand | ORiON
African Journals Online (AJOL)
Debreu's Gap Lemma is central to the proof of his fundamental result on the existence of continuous utility functions. A short proof based on a standard textbook construction of utility functions on countable linearly ordered sets is presented here. The proof is accessible to students with limited mathematical background, thus ...
Impact of proof test interval and coverage on probability of failure of safety instrumented function
International Nuclear Information System (INIS)
Jin, Jianghong; Pang, Lei; Hu, Bin; Wang, Xiaodong
2016-01-01
Highlights: • Introduction of proof test coverage makes the calculation of the probability of failure for SIF more accurate. • The probability of failure undetected by proof test is independently defined as P TIF and calculated. • P TIF is quantified using reliability block diagram and simple formula of PFD avg . • Improving proof test coverage and adopting reasonable test period can reduce the probability of failure for SIF. - Abstract: Imperfection of proof test can result in the safety function failure of safety instrumented system (SIS) at any time in its life period. IEC61508 and other references ignored or only elementarily analyzed the imperfection of proof test. In order to further study the impact of the imperfection of proof test on the probability of failure for safety instrumented function (SIF), the necessity of proof test and influence of its imperfection on system performance was first analyzed theoretically. The probability of failure for safety instrumented function resulted from the imperfection of proof test was defined as probability of test independent failures (P TIF ), and P TIF was separately calculated by introducing proof test coverage and adopting reliability block diagram, with reference to the simplified calculation formula of average probability of failure on demand (PFD avg ). Research results show that: the shorter proof test period and the higher proof test coverage indicate the smaller probability of failure for safety instrumented function. The probability of failure for safety instrumented function which is calculated by introducing proof test coverage will be more accurate.
On the Mechanization of the Proof of Hessenberg's Theorem in Coherent Logic
Bezem, M.; Hendriks, R.D.A.
2008-01-01
We propose to combine interactive proof construction with proof automation for a fragment of first-order logic called Coherent Logic (CL). CL allows enough existential quantification to make Skolemization unnecessary. Moreover, CL has a constructive proof system based on forward reasoning, which is
Encoding Featherweight Java with Assignment and Immutability using The Coq Proof Assistant
DEFF Research Database (Denmark)
Mackay, Julian; Mehnert, Hannes; Potanin, Alex
2012-01-01
We develop a mechanized proof of Featherweight Java with Assignment and Immutability in the Coq proof assistant. This is a step towards more machine-checked proofs of a non-trivial type system. We used object immutability close to that of IGJ [9] . We describe the challenges of the mech- anisation...
Earthquake-proof supporting structure in reactor vessel
International Nuclear Information System (INIS)
Sakurai, Akio; Sekine, Katsuhisa; Madokoro, Manabu; Katoono, Shin-ichi; Konno, Mutsuo; Suzuki, Takuro.
1990-01-01
Conventional earthquake-proof structure comprises a vessel vibration stopper integrated to a reactor vessel, powder for restricting the horizontal displacements, a safety vessel surrounds the outer periphery of the reactor vessel and a safety vessel vibration stopper integrated therewith, which are fixed to buildings. However, there was a problem that a great amount of stresses are generated in the base of the reactor vessel vibration stopper due to reaction of the powders which restrict thermal expansion. In order to remarkably reduce the reaction of the powers, powders are charged into a spaces formed between each of the reactor vessel vibration stopper, the safety vessel vibration stopper and the flexible member disposed between them. According to this constitution, the reactor vessel vibration stopper does not undergo a great reaction of the powers upon thermal expansion of the reactor vessel to moderate the generated stresses, maintain the strength and provide earthquake-proof supporting function. (N.H.)
Effects of Proof Mass Geometry on Piezoelectric Vibration Energy Harvesters
Directory of Open Access Journals (Sweden)
Abdul Hafiz Alameh
2018-05-01
Full Text Available Piezoelectric energy harvesters have proven to have the potential to be a power source in a wide range of applications. As the harvester dimensions scale down, the resonance frequencies of these devices increase drastically. Proof masses are essential in micro-scale devices in order to decrease the resonance frequency and increase the strain along the beam to increase the output power. In this work, the effects of proof mass geometry on piezoelectric energy harvesters are studied. Different geometrical dimension ratios have significant impact on the resonance frequency, e.g., beam to mass lengths, and beam to mass widths. A piezoelectric energy harvester has been fabricated and tested operating at a frequency of about 4 kHz within the audible range. The responses of various prototypes were studied, and an optimized T-shaped piezoelectric vibration energy harvester design is presented for improved performance.
A RFID grouping proof protocol for medication safety of inpatient.
Huang, Hsieh-Hong; Ku, Cheng-Yuan
2009-12-01
In order to provide enhanced medication safety for inpatients, the medical mechanism which adopts the modified grouping proof protocol is proposed in this paper. By using the grouping proof protocol, the medical staffs could confirm the authentication and integrity of a group of Radio-Frequency Identification (RFID) tags which are embedded on inpatient bracelets and the containers of drugs. This mechanism is designed to be compatible with EPCglobal Class-1 Generation-2 standard which is the most popular specification of RFID tags. Due to the light-weight computational capacity of passive tags, only the pseudo-random number generator (PRNG) and cyclic redundancy code (CRC) are allowed to be used in the communication protocol. Furthermore, a practical scenario of using this proposed mechanism in hospital to examine the medication safety is also presented.
Single-failure-proof cranes for nuclear power plants
International Nuclear Information System (INIS)
Porse, L.
1979-05-01
NRC has licensed reactors on the basis that the safe handling of critical loads can be accomplished by adding safety features to the handling equipment, by adding special features to the structures and areas over which the critical load is carried, or by a combination of the two. When reliance for the safe handling of critical loads is placed on the crane system itself, the system should be designed so that a single failure will not result in the loss of the capability of the system to safely retain the load. Features of the design, fabrication, installation, inspection, testing, and operation of single-failure-proof overhead crane handling systems that are used for handling critical loads are identified. These features are limited to the hoisting system and to braking systems for trolley and bridge. Other load-bearing items such as girders should be conservatively designed but need not be considered single failure proof
Efficient proof of ownership for cloud storage systems
Zhong, Weiwei; Liu, Zhusong
2017-08-01
Cloud storage system through the deduplication technology to save disk space and bandwidth, but the use of this technology has appeared targeted security attacks: the attacker can deceive the server to obtain ownership of the file by get the hash value of original file. In order to solve the above security problems and the different security requirements of the files in the cloud storage system, an efficient and information-theoretical secure proof of ownership sceme is proposed to support the file rating. Through the K-means algorithm to implement file rating, and use random seed technology and pre-calculation method to achieve safe and efficient proof of ownership scheme. Finally, the scheme is information-theoretical secure, and achieve better performance in the most sensitive areas of client-side I/O and computation.
TOREX-4: a torsatron proof of principle experiment
International Nuclear Information System (INIS)
Politzer, P.A.; Lidsky, L.M.; Montgomery, D.B.
1979-03-01
TOREX-4 is a torsatron Proof of Principle experiment designed to simultaneously achieve ntau approx. = to 5 x 10 13 , n approx. = to 5 x 10 14 /cm 3 , and T greater than or equal to 1 keV. TOREX-4 is capable of operating without externally driven currents; sufficient neutral beam power to reach betas of 2 to 5% is provided. The unique 4(+2) constant pitch angle winding configuration allows the reliable design of large systems with far greater experimental flexibility than can be achieved in conventional stellarators of comparable size. This will allow investigation of the basic physics questions of the torsatron configuration over a wide range of plasma properties and field configurations without sacrifice of the Proof of Principle goals
Pythagoras on the rocks. A proof with bricks
Directory of Open Access Journals (Sweden)
Michele Cagol
2016-04-01
Full Text Available In this short paper a practical and simple proof of the Pythagorean theorem is proposed. It uses colourful interlocking plastic bricks with two shapes: a cube that measures two centimeters on each side and a right prism where the base is a right-angled isosceles triangle and the two equal rectangular faces are the same as those of the cubic brick. The proof is designed for primary school children (but also for preschool children and begins by telling the legend of Pythagoras, who discovered his theorem by looking at the floor tile pattern of Polycrates’ palace. This proof takes into account only right-angled isosceles triangle but it is possible to show the validity of Pythagorean theorem for all right-angled triangles by building a simple proof by rearrangement. Pitagora on the rocks. Una dimostrazione con i mattonciniIn questo breve contributo viene proposta una semplice dimostrazione pratica del teorema di Pitagora, utilizzando mattoncini a incastro di plastica colorata di due forme: un cubo di due centimetri per lato e un prisma retto la cui base è un triangolo isoscele rettangolo e nel quale le due facce equivalenti sono uguali a quelle del mattoncino cubico. La dimostrazione è rivolta a bambini della scuola primaria (ma, eventualmente, anche in età prescolare e prende le mosse dalla leggenda secondo la quale Pitagora avrebbe scoperto il suo teorema mentre stava osservando il pavimento piastrellato del palazzo di Policrate, tiranno di Samo. Da questa dimostrazione – che prende in considerazione solo triangoli rettangoli isosceli – è poi possibile passare a una dimostrazione del teorema di Pitagora per tutti i triangoli rettangoli.
Modular invariants from simple currents. An explicit proof
International Nuclear Information System (INIS)
Schellekens, A.N.; Yankielowicz, S.
1989-01-01
In a previous paper an orbifold construction was used to demonstrate that the existence of primary fields with simple fusion rules in a conformal field theory implies the existence of non-diagonal modular invariant partition functions. Here we present a direct and explicit proof of modular invariance, which also covers a few cases that could not be obtained with the orbifold method. We also give a very simple general formula for the modular matrix M. (orig.)
Proof of a multipole conjecture due to Geroch
International Nuclear Information System (INIS)
Beig, R.; Simon, W.
1980-01-01
A result, first conjectured by Geroch, is proved to the extent, that the multipole moments of a static space-time characterize this space-time uniquely. As an offshoot of the proof one obtains an essentially coordinate-free algorithm for explicitly writing down a geometry in terms of it's moments in a purely algebraic manner. This algorithm seems suited for symbolic manipulation on a computer. (orig.)
A note on the proof of Bertrand's theorem
Directory of Open Access Journals (Sweden)
Jovanović Vladimir
2015-01-01
Full Text Available In this paper we fill a common gap in the proof of Bertrand' theorem present both the in Bertrand's original paper Théorème relatif au movement d'un point attiré vers un centre fixe and in the Arnold's book Mathematical methods of classical mechanics, by providing missing details which pertain to the problem of how to single out elastic and gravitational potentials among the power law ones.
Safety enhancement of composites via periodic proof testing
Woodward, Joseph H.
1993-01-01
Approved for public release; distribution is unlimited. The development of new composite materials, which lack the historical field data base, has led to the need for an accelerated life testing method applicable to composites. Accelerated life testing by increasing the sustained stress levels requires the modeling and validation of a strength-life relation. Proof testing of composite fibers by over-loading is one step in the understanding of the relationship. It is also important in the r...
Temporal Proof Methodologies for Real-Time Systems,
1990-09-01
real time systems that communicate either through shared variables or by message passing and real time issues such as time-outs, process priorities (interrupts) and process scheduling. The authors exhibit two styles for the specification of real - time systems . While the first approach uses bounded versions of temporal operators the second approach allows explicit references to time through a special clock variable. Corresponding to two styles of specification the authors present and compare two fundamentally different proof
Proof-of-Concept of the Phytoimmobilization Technology for TNX Outfall Delta: Final Report; FINAL
International Nuclear Information System (INIS)
Kaplan, D.I.
2001-01-01
A series of proof-of-principle studies was initiated to evaluate the soil remediation technology, phytoimmobilization, for application at the TNX Outfall Delta (TNX OD) operable unit. Phytoimmobilization involves two steps. The first step is entitled phytoextraction, and it takes place mostly during the spring and summer. During this step the plants extract contaminants from the sediment into the roots and then translocate the contaminants to the aboveground plant parts. The second step is referred to as sequestration and it takes place largely during the autumn and winter when annual plants senesce or deciduous trees drop their leaves. This step involves the immobilization of the contaminant once it leaches form the fallen leaves into a ''geomat,'' a geotextile embedded with mineral sequestering agents. This final report describes the results to date, including those reported in the status report (Kaplan et al. 2000a), those completed since the report was issued, and the preliminary calculations of the phytoimmobilization effectiveness
Social proof in social media shopping: An experimental design research
Directory of Open Access Journals (Sweden)
Abdul Talib Yurita Yakimin
2017-01-01
Full Text Available The practices of social proof techniques to attract consumers to shop on social media have proliferated over time and been used extensively. The reviewed literature uncovers that social community recommendation, customers’ ratings and reviews, celebrity’s endorser and numbers of likes, affect consumers’ purchasing decisions. However, the effect of different types of social proof techniques on purchasing intention is unknown. This study empirically compares the effect of number of followers, celebrity endorser and social community recommendation on consumers’ purchasing intention. An experiment has been conducted and the results reveal that the consumers’ purchasing intention differs between groups. Further analysis discovers that the impact on consumers’ purchasing intention is different between high number of followers and low number of followers, and between having social community recommendation and not having social community recommendation. Though, the impact of these two techniques is equal wherein no technique is superior to other. In order to gain purchasing engagement and boost online sales, online businesses on social media are encouraged to use the power of social proof technique, either by increasing the number of followers or providing more social community recommendations.
Proof of the Spin Statistics Connection 2: Relativistic Theory
Santamato, Enrico; De Martini, Francesco
2017-12-01
The traditional standard theory of quantum mechanics is unable to solve the spin-statistics problem, i.e. to justify the utterly important "Pauli Exclusion Principle" but by the adoption of the complex standard relativistic quantum field theory. In a recent paper (Santamato and De Martini in Found Phys 45(7):858-873, 2015) we presented a proof of the spin-statistics problem in the nonrelativistic approximation on the basis of the "Conformal Quantum Geometrodynamics". In the present paper, by the same theory the proof of the spin-statistics theorem is extended to the relativistic domain in the general scenario of curved spacetime. The relativistic approach allows to formulate a manifestly step-by-step Weyl gauge invariant theory and to emphasize some fundamental aspects of group theory in the demonstration. No relativistic quantum field operators are used and the particle exchange properties are drawn from the conservation of the intrinsic helicity of elementary particles. It is therefore this property, not considered in the standard quantum mechanics, which determines the correct spin-statistics connection observed in Nature (Santamato and De Martini in Found Phys 45(7):858-873, 2015). The present proof of the spin-statistics theorem is simpler than the one presented in Santamato and De Martini (Found Phys 45(7):858-873, 2015), because it is based on symmetry group considerations only, without having recourse to frames attached to the particles. Second quantization and anticommuting operators are not necessary.
Nonglobal proof of the thin--sandwich conjecture
International Nuclear Information System (INIS)
Pereira, C.M.
1981-01-01
A gravitational thin--sandwich conjecture was first proposed by Wheeler and coworkers during the period 1962--4. The present paper contains a proof of the nonglobal form of this gravitational thin--sandwich conjecture. The proof (a) applies for arbitrary choices of the spatial metric and its time derivative; and (b) demonstrates the existence on a spacelike three-surface of solutions which satisfy conditions of continuity known to be sufficient to obtain existence and uniqueness of solutions to Einstein's equations off the three-surface and existence and uniqueness of geodesics. Riquier's existence theorem plays an important role in the proof. The relationship of the present results to previous work is discussed. Some global questions associated with the thin--sandwich conjecture are clarified. Some aspects of the relationship of the thin--sandwich conjecture to the problem of the quantization of the gravitational field are noted. Both the vacuum case and the case of a nonviscous fluid are included. The discussion allows for an arbitrary equation of state p = p
Determining paediatric patient thickness from a single digital radiograph-a proof of principle.
Worrall, Mark; Vinnicombe, Sarah; Sutton, David G
2018-04-05
This work presents a proof of principle for a method of estimating the thickness of an attenuator from a single radiograph using the image, the exposure factors with which it was acquired and a priori knowledge of the characteristics of the X-ray unit and detector used for the exposure. It is intended this could be developed into a clinical tool to assist with paediatric patient dose audit, for which a measurement of patient size is required. The proof of principle used measured pixel value and effective linear attenuation coefficient to estimate the thickness of a Solid Water attenuator. The kerma at the detector was estimated using a measurement of pixel value on the image and measured detector calibrations. The initial kerma was estimated using a lookup table of measured output values. The effective linear attenuation coefficient was measured for Solid Water at varying kV p . 11 test images of known and varying thicknesses of Solid Water were acquired at 60, 70 and 81 kV p . Estimates of attenuator thickness were made using the model and the results compared to the known thickness. Estimates of attenuator thickness made using the model differed from the known thickness by 3.8 mm (3.2%) on average, with a range of 0.5-10.8 mm (0.5-9%). A proof of principle is presented for a method of estimating the thickness of an attenuator using a single radiograph of the attenuator. The method has been shown to be accurate using a Solid Water attenuator, with a maximum difference between estimated and known attenuator thickness of 10.8 mm (9%). The method shows promise as a clinical tool for estimating abdominal paediatric patient thickness for paediatric patient dose audit, and is only contingent on the type of data routinely collected by Medical Physics departments. Advances in knowledge: A computational model has been created that is capable of accurately estimating the thickness of a uniform attenuator using only the radiographic image, the exposure factors with which
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
Generalization of the Greenberger-Horne-Zeilinger algebraic proof of nonlocality
International Nuclear Information System (INIS)
Clifton, R.K.; Redhead, M.L.G.; Butterfield, J.N.
1991-01-01
The authors further develop a recent new proof (by Greenberger, Horne, and Zeilinger - GHZ) that local deterministic hidden-variable theories are inconsistent with certain strict correlations predicted by quantum mechanics. First, they generalize GHZ's proof so that it applied to factorable stochastic theories in which apparatus hidden variables are casually relevant to measurement results, and theories in which the hidden variables evolve indeterministically prior to the particle-apparatus interactions. Then they adopt a more general measure-theoretic approach which requires that GHZ's argument be modified in order to produce a valid proof. Finally, they motivate the more general proof's assumptions in a somewhat different way from previous authors in order to strengthen the implications of the proof as much as possible. After developing GHZ's proof along these lines, they then consider the analogue, for their proof, of Bohr's reply to the EPR argument, and conclude (pace GHZ) that in at least one respect (viz, that of most concern to Bohr) the proof is no more powerful than Bell's. Nevertheless, they point out some new advantages of their proof over Bell's, and over other algebraic proofs of nonlocality. And they conclude by giving a modified version of their proof that, like Bell's does not rely on experimentally unrealizable strict correlations, but still leads to a testable quasi-algebraic locality inequality
Accounting for Proof Test Data in a Reliability Based Design Optimization Framework
Ventor, Gerharad; Scotti, Stephen J.
2012-01-01
This paper investigates the use of proof (or acceptance) test data during the reliability based design optimization of structural components. It is assumed that every component will be proof tested and that the component will only enter into service if it passes the proof test. The goal is to reduce the component weight, while maintaining high reliability, by exploiting the proof test results during the design process. The proposed procedure results in the simultaneous design of the structural component and the proof test itself and provides the designer with direct control over the probability of failing the proof test. The procedure is illustrated using two analytical example problems and the results indicate that significant weight savings are possible when exploiting the proof test results during the design process.
An evaluation of the pressure proof test concept for 2024-T3 aluminium alloy sheet
Dawicke, D. S.; Poe, C. C., Jr.; Newman, J. C.; Harris, C. E.
1991-01-01
The concept of pressure proof testing of fuselage structures with fatigue cracks to insure structural integrity was evaluated from a fracture mechanics viewpoint. A generic analytical and experimental investigation was conducted on uniaxially loaded flat panels with crack configurations and stress levels typical of longitudinal lap splice joints in commercial transport aircraft fuselages. The results revealed that the remaining fatigue life after a proof cycle was longer than that without the proof cycle because of crack growth retardation due to increased crack closure. However, based on a crack length that is slightly less than the critical value at the maximum proof stress, the minimum assured life or proof test interval must be no more than 550 pressure cycles for a 1.33 proof factor and 1530 pressure cycles for a 1.5 proof factor to prevent in-flight failures.
Dickerson, David S.; Doerr, Helen M.
2014-12-01
Proof serves many purposes in mathematics. In this qualitative study of 17 high school mathematics teachers, we found that these teachers perceived that two of the most important purposes for proof in school mathematics were (a) to enhance students' mathematical understanding and (b) to develop generalized thinking skills that were transferable to other fields of endeavor. We found teachers were divided on the characteristics (or features) of proofs that would serve these purposes. Teachers with less experience tended to believe that proofs in the high school should adhere to strict standards of language and reasoning while teachers with more experience tended to believe that proofs based on concrete or visual features were well suited for high school mathematics. This study has implications for teacher preparation because it appears that there is a wide variation in how teachers think about proof. It seems likely that students would experience proof very differently merely because they were seated in different classrooms.
Microstructural investigation of variations in the proof strength of Nimonic PE16
International Nuclear Information System (INIS)
Riley, B.F.; Wilson, E.G.; Jones, A.R.
1987-01-01
Nimonic PE16 shows a correlation of stress rupture behaviour after irradiation with proof strength. Proof testing of material from bars from several casts yielded a relationship (Hall-Petch) between the peak-aged proof stress and grain size -1/2 but the scatter in proof stress values at a given grain size merited further microstructural study. Transmission electron microscopy revealed that high proof stress material contained dislocation densities consistent with material which had received 1 to 2% cold work, verified by examination of lightly prestrained tensile specimens. Ageing to peak strength induced partial recovery but some variability in proof stress remained. Variations in γ' size and composition having been eliminated, the scatter in proof stress values was attributed to variable cold work induced by the commercial bar straightening process. (Author)
2010-07-01
... 28 Judicial Administration 2 2010-07-01 2010-07-01 false Proof of onset of leukemia at least two... leukemia at least two years after first exposure, and proof of onset of a specified compensable disease more than five years after first exposure. The date of onset will be the date of diagnosis as indicated...
Students Thinking Process in Compiling Mathematical Proof with Semantics Strategy
Directory of Open Access Journals (Sweden)
Abdussakir Abdussakir
2015-03-01
Full Text Available Proses Berpikir Mahasiswa dalam Menyusun Bukti Matematis dengan Strategi Semantik Abstract: This study is aimed to reveal the thinking process in proof construction performed by students with semantic strategy. This study use descriptive-qualitative approach. The thinking process of students will be analyzed using theoretical framework of David Tall about the three worlds of mathematical thinking. The result are three ways of thinking in semantic strategy, namely (1 started from formal world then move into the symbolic or embodied-symbolic world with possibility of more than once and ends within or outside of the formal world, (2 started from symbolic world or embodied-symbolic world then move to the formal world with possibility of more than once and ends within or outside of the formal world, and (3 all thinking processes performed outside of formal world that does not obtain formal proof. Key Words: thinking process, mathematical proof, semantic strategy Abstrak: Penelitian ini bertujuan untuk menjelaskan proses berpikir mahasiswa dalam menyusun bukti matematis dengan strategi semantik. Penelitian ini menggunakan pendekatan deskiptif-kualitatif. Analisis data dilakukan dengan menggunakan kerangka kerja David Tall tentang tiga dunia berpikir matematik. Hasil penelitian menunjukkan bahwa terdapat enam kemungkinan jalur dalam strategi semantik ditinjau dari teori tiga dunia berpikir matematis. Hasil penelitian menunjukkan ada tiga jalur berpikir mahasiswa dalam menyusun bukti matematis dengan strategi semantik, yaitu (1 bermula dari dunia berpikir formal berpindah ke dunia berpikir wujud-simbolik atau dunia berpikir simbolik dengan proses perpindahan dimungkinkan lebih dari satu kali dan berakhir di dalam atau di luar dunia berpikir formal, (2 bermula dari dunia berpikir wujud simbolik atau dunia berpikir simbolik (non RSP lalu pindah ke dunia berpikir formal dengan proses perpindahan dimungkinkan lebih dari satu kali dan berakhir di
Von Neumann's impossibility proof: Mathematics in the service of rhetorics
Dieks, Dennis
2017-11-01
According to what has become a standard history of quantum mechanics, in 1932 von Neumann persuaded the physics community that hidden variables are impossible as a matter of principle, after which leading proponents of the Copenhagen interpretation put the situation to good use by arguing that the completeness of quantum mechanics was undeniable. This state of affairs lasted, so the story continues, until Bell in 1966 exposed von Neumann's proof as obviously wrong. The realization that von Neumann's proof was fallacious then rehabilitated hidden variables and made serious foundational research possible again. It is often added in recent accounts that von Neumann's error had been spotted almost immediately by Grete Hermann, but that her discovery was of no effect due to the dominant Copenhagen Zeitgeist. We shall attempt to tell a story that is more historically accurate and less ideologically charged. Most importantly, von Neumann never claimed to have shown the impossibility of hidden variables tout court, but argued that hidden-variable theories must possess a structure that deviates fundamentally from that of quantum mechanics. Both Hermann and Bell appear to have missed this point; moreover, both raised unjustified technical objections to the proof. Von Neumann's argument was basically that hidden-variables schemes must violate the ;quantum principle; that physical quantities are to be represented by operators in a Hilbert space. As a consequence, hidden-variables schemes, though possible in principle, necessarily exhibit a certain kind of contextuality. As we shall illustrate, early reactions to Bohm's theory are in agreement with this account. Leading physicists pointed out that Bohm's theory has the strange feature that pre-existing particle properties do not generally reveal themselves in measurements, in accordance with von Neumann's result. They did not conclude that the ;impossible was done; and that von Neumann had been shown wrong.
Synthetic Completeness Proofs for Seligman-style Tableau Systems
DEFF Research Database (Denmark)
Jørgensen, Klaus Frovin; Blackburn, Patrick Rowan; Bolander, Thomas
2016-01-01
labels’ are rejected in favour of ‘rules for all’ is an interesting exception to this. Seligman’s approach was originally for natural deduction; the authors of the present paper recently extended it to tableau inference [1,2]. Our earlier work was syntactic: we showed completeness by translating between......Hybrid logic is a form of modal logic which allows reference to worlds. We can think of it as ‘modal logic with labelling built into the object language’ and various forms of labelled deduction have played a central role in its proof theory. Jerry Seligman’s work [11,12] in which ‘rules involving...
Sizewell 'B' power station public inquiry: CEGB proof of evidence
International Nuclear Information System (INIS)
Singleton, L.
1982-11-01
Details are given of the transport of flasks of irradiated fuel by British Rail. Arrangements which have been made for safety on the railways are discussed. Particular arrangements for flask safety and emergency procedures laid down in case of a rail accident are outlined. Extracts from British Railways publications are included as Appendices to the proof. These publications are: the British Railways Rule Book, the Working Manual for Rail Staff, the Board's Byelaws and the List of Dangerous Goods Conditions of Acceptance. (U.K.)
A Proof of the Hilbert-Smith Conjecture
McAuley, Louis F.
2001-01-01
The Hilbert-Smith Conjecture states that if G is a locally compact group which acts effectively on a connected manifold as a topological transformation group, then G is a Lie group. A rather straightforward proof of this conjecture is given. The motivation is work of Cernavskii (``Finite-to-one mappings of manifolds'', Trans. of Math. Sk. 65 (107), 1964.) His work is generalized to the orbit map of an effective action of a p-adic group on compact connected n-manifolds with the aid of some new...
A variational proof of Thomson's theorem
Energy Technology Data Exchange (ETDEWEB)
Fiolhais, Miguel C.N., E-mail: miguel.fiolhais@cern.ch [Department of Physics, City College of the City University of New York, 160 Convent Avenue, New York, NY 10031 (United States); Department of Physics, New York City College of Technology, 300 Jay Street, Brooklyn, NY 11201 (United States); LIP, Department of Physics, University of Coimbra, 3004-516 Coimbra (Portugal); Essén, Hanno [Department of Mechanics, Royal Institute of Technology (KTH), Stockholm SE-10044 (Sweden); Gouveia, Tomé M. [Cavendish Laboratory, 19 JJ Thomson Avenue, Cambridge CB3 0HE (United Kingdom)
2016-08-12
Thomson's theorem of electrostatics, which states the electric charge on a set of conductors distributes itself on the conductor surfaces to minimize the electrostatic energy, is reviewed in this letter. The proof of Thomson's theorem, based on a variational principle, is derived for a set of normal charged conductors, with and without the presence of external electric fields produced by fixed charge distributions. In this novel approach, the variations are performed on both the charge densities and electric potentials, by means of a local Lagrange multiplier associated with Poisson's equation, constraining the two variables.
Roads to infinity the mathematics of truth and proof
Stillwell, John C
2010-01-01
Winner of a CHOICE Outstanding Academic Title Award for 2011!This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is historical and partly informal, but with due attention to the subtleties of the subject. Ideas are shown to evolve from natural mathematical questions about the nature of infinity and the nature of proof, set against a background of broader questions
Melos: a Rhetoric Proof in Songs in Semiotic Perspective
Directory of Open Access Journals (Sweden)
Adriano Dantas de Oliveira
2016-12-01
Full Text Available We will have, in this work, the exposure of an approach to cancional text as a specific rhetorical situation. We assimilated the melos as all musical aspects of the song as a rhetorical proof that articulates the traditional trilogy: ethos, logos and pathos. We will use an interdisciplinary theoretical framework, articulating the classical rhetoric to semiotics applied to the song, exploring, from this model, discursive aspects of cancional text. As corpus, we have the analysis of a buarquiana song sample sociopolitical theme composed and recorded during the period of dictatorship.
Math Attendees Find There's Life After Fermat Proof.
Cipra, B
1994-02-04
The uncertain status of the recent proof of Fermat's Last Theorem (Science, 24 December 1993, p. 1967) was the hot topic in the hallways at the joint meetings of the American Mathematical Society and the Mathematical Association of America, held 12-15 January in Cincinnati. But a few other topics did manage to get discussed. Among them: How gambling pays off in computing the volume of high-dimensional shapes; how a mathematical description of water dripping down a window pane might lead to the design of digital pulses that could race through the optical fibers of the future; and how one can be fooled infinitely often by another theorem of Fermat's.
Formalizing a Paraconsistent Logic in the Isabelle Proof Assistant
DEFF Research Database (Denmark)
Villadsen, Jørgen; Schlichtkrull, Anders
2017-01-01
We present a formalization of a so-called paraconsistent logic that avoids the catastrophic explosiveness of inconsistency in classical logic. The paraconsistent logic has a countably infinite number of non-classical truth values. We show how to use the proof assistant Isabelle to formally prove...... theorems in the logic as well as meta-theorems about the logic. In particular, we formalize a meta-theorem that allows us to reduce the infinite number of truth values to a finite number of truth values, for a given formula, and we use this result in a formalization of a small case study....
Proof-of-principle functionals for the shape function
International Nuclear Information System (INIS)
Ayers, Paul W.
2005-01-01
Recently, it has been shown that the density per particle, or shape function, determines all the properties of molecules and, more generally, finite Coulomb systems (e.g., clusters). Here, we provide numerical evidence for this 'existence' theorem, showing that atomic properties (specifically the kinetic energy and exchange energy) have simple approximate expressions in terms of the shape function. While the accuracy of our results is limited, this provides 'proof-of-principle' evidence that shape-functional theory represents an alternative to density-functional theory for finite Coulomb systems
ReACT Methodology Proof of Concept Final Report
Energy Technology Data Exchange (ETDEWEB)
Bri Rolston; Sarah Freeman
2014-03-01
The Department of Energy’s Office of Electricity Delivery and Energy Reliability (DOE-OE) funded INL Researchers to evaluate a novel process for assessing and mitigating cyber security risks. The proof of concept level of the method was tested in an industry environment. This case study, plus additional case studies will support the further development of the method into a tool to assist industry in securing their critical networks. This report provides an understanding of the process developed in the Response Analysis and Characterization Tool (ReACT) project. This report concludes with lessons learned and a roadmap for final development of these tools for use by industry.
Isolated Proofs of Knowledge and Isolated Zero Knowledge
DEFF Research Database (Denmark)
Damgård, Ivan Bjerre; Nielsen, Jesper Buus; Wichs, Daniel
2008-01-01
. This is because the prover may just be forwarding messages between the environment and the verifier while the environment performs all the necessary computation. In this paper we consider an ℓ-isolated prover, which is restricted to exchanging at most ℓ bits of information with its environment. We introduce a new...... notion called ℓ-isolated proofs of knowledge (ℓ-IPoK). These protocols securely ensure that an ℓ-isolated prover knows the witness. To prevent the above-mentioned attack, an ℓ-IPoK protocol has to have communication complexity greater than ℓ. We show that for any relation in NP and any value ℓ...
Carbon footprinting of emergency medical services systems: a proof-of-concept study.
Blanchard, Ian; Brown, Lawrence H
2009-01-01
In this proof-of-concept study, we evaluated the availability of emergency medical services (EMS) system energy consumption data required to calculate a carbon footprint. Two diverse North American EMS systems with more than 125,000 combined annual unit responses agreed to report their energy consumption for the last fiscal or calendar year using a data-collection tool based on Carbon Trust recommendations. They also identified the source of information (e.g., bills, logs, receipts), whether the amounts reported were directly measured or estimated, and whether any of the amounts were prorated from shared facilities (e.g., electricity for a shared office building). For this proof-of-concept study, we report only descriptive data about the availability of data and aggregate carbon emissions. Both systems reported diesel fuel, gasoline, and electricity consumption. One system used natural gas; one system used aviation fuel. Direct measurement of consumption using utility bills and statements was possible for these energy types. One system prorated natural gas and electricity usage; one system was able to estimate commercial air travel. Annual carbon dioxide (CO(2)) emissions for these two systems totaled 11.1 million pounds of CO(2). The largest source of CO(2) emissions was diesel fuel (39%), followed by electricity (23%). These EMS systems were able to provide the data necessary to determine their carbon footprints. Future research could include broader study to establish EMS-specific norms for carbon emissions, benchmarking of these metrics between different EMS systems, and the assessment of programs designed to reduce EMS carbon emissions.
A future-proof architecture for telemedicine using loose-coupled modules and HL7 FHIR.
Gøeg, Kirstine Rosenbeck; Rasmussen, Rune Kongsgaard; Jensen, Lasse; Wollesen, Christian Møller; Larsen, Søren; Pape-Haugaard, Louise Bilenberg
2018-07-01
Most telemedicine solutions are proprietary and disease specific which cause a heterogeneous and silo-oriented system landscape with limited interoperability. Solving the interoperability problem would require a strong focus on data integration and standardization in telemedicine infrastructures. Our objective was to suggest a future-proof architecture, that consisted of small loose-coupled modules to allow flexible integration with new and existing services, and the use of international standards to allow high re-usability of modules, and interoperability in the health IT landscape. We identified core features of our future-proof architecture as the following (1) To provide extended functionality the system should be designed as a core with modules. Database handling and implementation of security protocols are modules, to improve flexibility compared to other frameworks. (2) To ensure loosely coupled modules the system should implement an inversion of control mechanism. (3) A focus on ease of implementation requires the system should use HL7 FHIR (Fast Interoperable Health Resources) as the primary standard because it is based on web-technologies. We evaluated the feasibility of our architecture by developing an open source implementation of the system called ORDS. ORDS is written in TypeScript, and makes use of the Express Framework and HL7 FHIR DSTU2. The code is distributed on GitHub. All modules have been tested unit wise, but end-to-end testing awaits our first clinical example implementations. Our study showed that highly adaptable and yet interoperable core frameworks for telemedicine can be designed and implemented. Future work includes implementation of a clinical use case and evaluation. Copyright © 2018 Elsevier B.V. All rights reserved.
A few proofs for nonexistence of the metastable states
International Nuclear Information System (INIS)
Blazjevski, Atanas
2007-01-01
This paper is the bigger part of one until now unpublished author's work, whose title is 'A few proofs for nonexistence of the metastable states'. Because of a big volume of the work, the problems of supersaturated (metastable) steam which appears at the following of slightly, superheated, saturated or wet steam in the convergent and Laval nozzles will be discussed in the main. This steam is mentioned in the literature as one between of the strongest proofs for existence of metastable states in the substances. In this work the steam is not one -phase gaseous metastable steam, as it was thought until now, but yat it is nonequilibrium wet steam in which during the expanding process in the nozzles extreme small particles condensate, consisted of two, three or only few agglomerated molecules are formed which stay in heat, mechanical and internal nonequilibrium with the rest of the expanding gaseous phase of the steam. It means, that this steam, which is called a supersaturated or metastable steam, in fact does not exist in reality because it is nothing else but only nonequilibrium wet steam consisted of tho phases: the expanding gaseous phase of the steam in the nozzle and the mentioned small and nonequilibrium particles condensate which are formed there...
A short impossibility proof of quantum bit commitment
Energy Technology Data Exchange (ETDEWEB)
Chiribella, Giulio, E-mail: gchiribella@mail.tsinghua.edu.cn [Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University (China); D' Ariano, Giacomo Mauro, E-mail: dariano@unipv.it [QUIT group, Dipartimento di Fisica, via Bassi 6, 27100 Pavia (Italy); INFN Gruppo IV, Sezione di Pavia, via Bassi, 6, 27100 Pavia (Italy); Perinotti, Paolo, E-mail: paolo.perinotti@unipv.it [QUIT group, Dipartimento di Fisica, via Bassi 6, 27100 Pavia (Italy); INFN Gruppo IV, Sezione di Pavia, via Bassi, 6, 27100 Pavia (Italy); Schlingemann, Dirk, E-mail: d.schlingemann@tu-bs.de [ISI Foundation, Quantum Information Theory Unit, Viale S. Severo 65, 10133 Torino (Italy); Werner, Reinhard, E-mail: Reinhard.Werner@itp.uni-hannover.de [Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstrasse 2, 30167 Hannover (Germany)
2013-06-17
Bit commitment protocols, whose security is based on the laws of quantum mechanics alone, are generally held to be impossible on the basis of a concealment–bindingness tradeoff (Lo and Chau, 1997 [1], Mayers, 1997 [2]). A strengthened and explicit impossibility proof has been given in D'Ariano et al. (2007) [3] in the Heisenberg picture and in a C{sup ⁎}-algebraic framework, considering all conceivable protocols in which both classical and quantum information is exchanged. In the present Letter we provide a new impossibility proof in the Schrödinger picture, greatly simplifying the classification of protocols and strategies using the mathematical formulation in terms of quantum combs (Chiribella et al., 2008 [4]), with each single-party strategy represented by a conditioned comb. We prove that assuming a stronger notion of concealment—for each classical communication history, not in average—allows Alice's cheat to pass also the worst-case Bob's test. The present approach allows us to restate the concealment–bindingness tradeoff in terms of the continuity of dilations of probabilistic quantum combs with the metric given by the comb discriminability-distance.
A short impossibility proof of quantum bit commitment
International Nuclear Information System (INIS)
Chiribella, Giulio; D'Ariano, Giacomo Mauro; Perinotti, Paolo; Schlingemann, Dirk; Werner, Reinhard
2013-01-01
Bit commitment protocols, whose security is based on the laws of quantum mechanics alone, are generally held to be impossible on the basis of a concealment–bindingness tradeoff (Lo and Chau, 1997 [1], Mayers, 1997 [2]). A strengthened and explicit impossibility proof has been given in D'Ariano et al. (2007) [3] in the Heisenberg picture and in a C ⁎ -algebraic framework, considering all conceivable protocols in which both classical and quantum information is exchanged. In the present Letter we provide a new impossibility proof in the Schrödinger picture, greatly simplifying the classification of protocols and strategies using the mathematical formulation in terms of quantum combs (Chiribella et al., 2008 [4]), with each single-party strategy represented by a conditioned comb. We prove that assuming a stronger notion of concealment—for each classical communication history, not in average—allows Alice's cheat to pass also the worst-case Bob's test. The present approach allows us to restate the concealment–bindingness tradeoff in terms of the continuity of dilations of probabilistic quantum combs with the metric given by the comb discriminability-distance.
Single Sensor Gait Analysis to Detect Diabetic Peripheral Neuropathy: A Proof of Principle Study
Directory of Open Access Journals (Sweden)
Patrick Esser
2018-01-01
Full Text Available This study explored the potential utility of gait analysis using a single sensor unit (inertial measurement unit [IMU] as a simple tool to detect peripheral neuropathy in people with diabetes. Seventeen people (14 men aged 63±9 years (mean±SD with diabetic peripheral neuropathy performed a 10-m walk test instrumented with an IMU on the lower back. Compared to a reference healthy control data set (matched by gender, age, and body mass index both spatiotemporal and gait control variables were different between groups, with walking speed, step time, and SDa (gait control parameter demonstrating good discriminatory power (receiver operating characteristic area under the curve >0.8. These results provide a proof of principle of this relatively simple approach which, when applied in clinical practice, can detect a signal from those with known diabetes peripheral neuropathy. The technology has the potential to be used both routinely in the clinic and for tele-health applications. Further research should focus on investigating its efficacy as an early indicator of or effectiveness of the management of peripheral neuropathy. This could support the development of interventions to prevent complications such as foot ulceration or Charcot's foot.
Single Sensor Gait Analysis to Detect Diabetic Peripheral Neuropathy: A Proof of Principle Study.
Esser, Patrick; Collett, Johnny; Maynard, Kevin; Steins, Dax; Hillier, Angela; Buckingham, Jodie; Tan, Garry D; King, Laurie; Dawes, Helen
2018-02-01
This study explored the potential utility of gait analysis using a single sensor unit (inertial measurement unit [IMU]) as a simple tool to detect peripheral neuropathy in people with diabetes. Seventeen people (14 men) aged 63±9 years (mean±SD) with diabetic peripheral neuropathy performed a 10-m walk test instrumented with an IMU on the lower back. Compared to a reference healthy control data set (matched by gender, age, and body mass index) both spatiotemporal and gait control variables were different between groups, with walking speed, step time, and SDa (gait control parameter) demonstrating good discriminatory power (receiver operating characteristic area under the curve >0.8). These results provide a proof of principle of this relatively simple approach which, when applied in clinical practice, can detect a signal from those with known diabetes peripheral neuropathy. The technology has the potential to be used both routinely in the clinic and for tele-health applications. Further research should focus on investigating its efficacy as an early indicator of or effectiveness of the management of peripheral neuropathy. This could support the development of interventions to prevent complications such as foot ulceration or Charcot's foot. Copyright © 2018 Korean Diabetes Association.
Single bacteria movement tracking by online microscopy--a proof of concept study.
Directory of Open Access Journals (Sweden)
Andreas Ziegler
Full Text Available In this technical report we demonstrate a low-cost online unit allowing movement tracking of flagellated bacteria on a single-cell level during fermentation processes. The system's ability to distinguish different metabolic states (viability of bacteria by movement velocity was investigated. A flow-through cuvette with automatically adjustable layer thickness was developed. The cuvette can be used with most commercially available laboratory microscopes equipped with 40× amplification and a digital camera. In addition, an automated sample preparation unit and a software module was developed measuring size, moved distance, and speed of bacteria. In a proof of principle study the movement velocities of Bacillus amyloliquefaciens FZB42 during three batch fermentation processes were investigated. In this process the bacteria went through different metabolic states, vegetative growth, diauxic shift, vegetative growth after diauxic shift, and sporulation. It was shown that the movement velocities during the different metabolic states significantly differ from each other. Therefore, the described setup has the potential to be used as a bacteria viability monitoring tool. In contrast to some other techniques, such as electro-optical techniques, this method can even be used in turbid production media.
A simple proof of renormalization group equation in the minimal subtraction scheme
International Nuclear Information System (INIS)
Chetyrkin, K.G.
1989-04-01
We give a simple combinatorial proof of the renormalization group equation in the minimal subtraction scheme. Being mathematically rigorous, the proof avoids both the notorious complexity of techniques using parametric representations of Feynman diagrams and heuristic arguments of usual ''proofs'' calling up bare fields living in the space-time of complex dimension. It also copes easily with the general case of Green functions of arbitrary number of composite fields. (author). 24 refs
Proof of Principle for Electronic Collimation of a Gamma Ray Detector
2016-01-01
Approved for public release; distribution is unlimited. ERDC TN-EQT-16-1 January 2016 Proof of Principle for Electronic Collimation of a Gamma...in achieving the proof of principle of the technique, which is intended to be further developed. A gamma ray detector system utilizing electronic...waveforms from longitudinal (along the axis) waveforms yield proof of principle . TECHNOLOGY DESCRIPTION: The component detector technologies were
Proof of the positive energy theorem including the angular momentum contribution
International Nuclear Information System (INIS)
Zhang Jingfei; Chee, G.Y.; Guo Yongxin
2005-01-01
A proof of the positive energy theorem of general relativity is given. In this proof the gravitational Lagrangian is identified with that of Lau and is equivalent to the teleparallel Lagrangian modulo, a boundary term. The approach adopted in this proof uses the two-spinor method and the extended Witten identities and then combines the Brown-York and the Nester-Witten approaches. At the same time the proof is extended to the case involving the contribution of angular momentum by choosing a special shift vector
Proofs of the Kochen–Specker theorem based on a system of three qubits
International Nuclear Information System (INIS)
Waegell, Mordecai; Aravind, P K
2012-01-01
A number of new proofs of the Kochen–Specker theorem are given based on the observables of the three-qubit Pauli group. Each proof is presented in the form of a diagram from which it is obvious by inspection. Each of our observable-based proofs leads to a system of projectors and bases that generally yields a large number of ‘parity proofs’ of the Kochen–Specker theorem. Some examples of such proofs are given and some of their applications are discussed. (paper)
Toda molecule and Tomimatsu-Sato solution-towards the complete proof of Nakamura's conjecture
International Nuclear Information System (INIS)
Fukuyama, Takeshi; Koizumi, Kozo
2011-01-01
We discuss the Nakamura's conjecture stating that the Tomimatsu-Sato black hole solution with an integer deformation parameter n is composed of the special solutions of the Toda molecule equation at the nth lattice site. From the previous work, in which the conjecture was partly analytically proved, we go further towards the final full proof by rearranging the rotation parameter. The proof is explicitly performed for the highest and lowest orders. Though the proof for all orders still remains unsolved, the prospect to the full proof becomes transparent and workable by our method. (paper)
Proponents of Creationism but not Proponents of Evolution Frame the Origins Debate in Terms of Proof
Barnes, Ralph M.; Church, Rebecca A.
2013-03-01
In Study 1, 72 internet documents containing creationism, ID (intelligent design), or evolution content were selected for analysis. All instances of proof cognates (the word "proof" and related terms such as "proven", "disproof", etc.) contained within these documents were identified and labeled in terms of the manner in which the terms were used. In Study 2, frequency counts for six terms (proof, evidence, establish, experiment, test, trial) were conducted on a sample of peer-reviewed research articles in the journal Science and the 72 internet documents included in Study 1. Quantitative and qualitative analyses revealed that proponents of creationism were much more likely than proponents of evolution to frame the creationism/evolution issue in terms of proof (ID proponents fell partway between the other two). Proponents of creationism frequently described empirical data favoring their position as proof of their position. Even more frequently, proponents of creationism described evolutionary scientists as being engaged in failed attempts to prove the truth of the evolutionary position. Evolution documents included fewer proof cognates than creationism or ID documents and the few proof cognates found in evolution documents were rarely used to describe the status of the theory of evolution. Qualitative data analysis indicated that proof cognates were often used to indicate certainty. The asymmetry between evolution and creationism documents was limited primarily to proof cognates; there were no major asymmetries for the terms evidence, establish, experiment, test, and trial. The results may reveal differences in the epistemological commitments of the involved parties.
The RCF and government policy. Supplementary proof of evidence
International Nuclear Information System (INIS)
Green, P.; Western, R.
1996-01-01
Supplementary 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. This evidence examined Nirex's proposal in the light of UK Government Policy on radioactive waste. FOE consider that their case against the proposed RCF stands unrebutted. It rests on the failure of Nirex to establish the baseline hydrogeological regime for the site, the lack of understanding of the mechanisms that would mobilise and transport radionuclides from the proposed repository, and the fact that the RCF has not been designed to be an integral feature of the proposed repository. (1 reference). (UK)
`Court-proof` operation of power plants; Der ``gerichtsfeste`` Kraftwerksbetrieb
Energy Technology Data Exchange (ETDEWEB)
Adams, H.W. [Dr. Adams und Partner Unternehmensberatung GmbH, Duisburg (Germany)
1995-09-01
The `court-proof` organisation of a power plant is understood to mean the well-defined, i.e., documented, organisation of its operational structure and work flows. This includes transparent delegation of tasks, competences, and responsibilities to individual officers and down hierarchical lines and mutual agreements on the rules for cooperation between lines and between lines and officers. Such an organisation ensures that responsibilities to give instructions, select personnel, and/or carry out control tasks can be ascertained. (orig./DG) [Deutsch] Die `gerichtsfeste` Organisation ist die festgelegte, das heisst dokumentierte, Aufbau- und Ablauforganisation mit transparenter Delegation von Aufgaben, Kompetenz und Verantwortung in Linie und Beauftragte und Verabreden der Spielregeln des Zusammenwirkens Linie-Linie beziehungsweise Linie-Beauftragte. Sie stellt sicher, dass Anweisungs-, Auswahl- und Ueberwachungspflichten nachgewiesen werden koennen. (orig./DG)
A Numerical Proof of Concept for Thermal Flow Control
Directory of Open Access Journals (Sweden)
V. Dragan
2017-02-01
Full Text Available In this paper computational fluid dynamics is used to provide a proof of concept for controlled flow separation using thermal wall interactions with the velocity boundary layer. A 3D case study is presented, using a transition modeling Shear Stress Transport turbulence model. The highly loaded single slot flap airfoil was chosen to be representative for a light aircraft and the flow conditions were modeled after a typical landing speed. In the baseline case, adiabatic walls were considered while in the separation control case, the top surface of the flaps was heated to 500 K. This heating lead to flow separation on the flaps and a significant alteration of the flow pattern across all the elements of the wing. The findings indicate that this control method has potential, with implications in both aeronautical as well as sports and civil engineering applications.
Proofs and fundamentals a first course in abstract mathematics
Bloch, Ethan D
2003-01-01
In an effort to make advanced mathematics accessible to a wide variety of students, and to give even the most mathematically inclined students a solid basis upon which to build their continuing study of mathematics, there has been a tendency in recent years to introduce students to the for mulation and writing of rigorous mathematical proofs, and to teach topics such as sets, functions, relations and countability, in a "transition" course, rather than in traditional courses such as linear algebra. A transition course functions as a bridge between computational courses such as Calculus, and more theoretical courses such as linear algebra and abstract algebra. This text contains core topics that I believe any transition course should cover, as well as some optional material intended to give the instructor some flexibility in designing a course. The presentation is straightforward and focuses on the essentials, without being too elementary, too exces sively pedagogical, and too full to distractions. Some of ...
Noise-proof bubbles to protect sea life
International Nuclear Information System (INIS)
Deboutte, G.
2012-01-01
The construction of wind turbines in shallow sea might jeopardize the life of mammals living nearby. The wave sound generated by each hammer impact to drive the pillars deep in the sea bottom can reach up to 200 decibels at 750 m away from the construction site. Repeated noises at this sound level is thought to be damaging for audition systems of sea mammals. The German authorities have launched a 4-year long program to find efficient technical solutions to damp sound waves. Various techniques have been tested in the Baltic sea and it appears that most techniques are efficient but some seem more relevant like the bubble curtain in which air bubbles generated around the site disturb the propagation of sound waves, or the balloon curtain in which air balloons plays the role of the bubbles, or the network of vertical pipes set around the construction site, or the sound-proofed sheath set around the pillar and hammer. (A.C.)
New Analytical Monographs on TCM Herbal Drugs for Quality Proof.
Wagner, Hildebert; Bauer, Rudolf; Melchart, Dieter
2016-01-01
Regardless of specific national drug regulations there is an international consensus that all TCM drugs must meet stipulated high quality standards focusing on authentication, identification and chemical composition. In addition, safety of all TCM drugs prescribed by physicians has to be guaranteed. During the 25 years history of the TCM hospital Bad Kötzting, 171 TCM drugs underwent an analytical quality proof including thin layer as well as high pressure liquid chromatography. As from now mass spectroscopy will also be available as analytical tool. The findings are compiled and already published in three volumes of analytical monographs. One more volume will be published shortly, and a fifth volume is in preparation. The main issues of the analytical procedure in TCM drugs like authenticity, botanical nomenclature, variability of plant species and parts as well as processing are pointed out and possible ways to overcome them are sketched. © 2016 S. Karger GmbH, Freiburg.
Stack monitor for the Proof-of-Breeding Project
International Nuclear Information System (INIS)
Fergus, R.W.
1985-01-01
This stack monitor system is a coordinated arrangement of hardware and software to monitor four hot cells (8 stacks) during the fuel dissection for the Proof-of-Breeding Project. The cell monitors, which are located in fan lofts, contain a microprocessor, radiation detectors, air flow sensors, and air flow control equipment. Design criteria included maximizing microprocessor control while minimizing the hardware complexity. The monitors have been programmed to produce concentration and total activity release data based on several detector measurements and flow rates. Although each monitor can function independently, a microcomputer can also be used to control each cell monitor including reprogramming if necessary. All programming is software, as opposed to firmware, with machine language for compactness in the cell monitors and Basic language for adaptability in the microcomputer controller
Magnetic Gimbal Proof-of-Concept Hardware performance results
Stuart, Keith O.
1993-01-01
The Magnetic Gimbal Proof-of-Concept Hardware activities, accomplishments, and test results are discussed. The Magnetic Gimbal Fabrication and Test (MGFT) program addressed the feasibility of using a magnetic gimbal to isolate an Electro-Optical (EO) sensor from the severe angular vibrations induced during the firing of divert and attitude control system (ACS) thrusters during space flight. The MGFT effort was performed in parallel with the fabrication and testing of a mechanically gimballed, flex pivot based isolation system by the Hughes Aircraft Missile Systems Group. Both servo systems supported identical EO sensor assembly mockups to facilitate direct comparison of performance. The results obtained from the MGFT effort indicate that the magnetic gimbal exhibits the ability to provide significant performance advantages over alternative mechanically gimballed techniques.
Proof of principle for epitope-focused vaccine design
Correia, Bruno E.; Bates, John T.; Loomis, Rebecca J.; Baneyx, Gretchen; Carrico, Chris; Jardine, Joseph G.; Rupert, Peter; Correnti, Colin; Kalyuzhniy, Oleksandr; Vittal, Vinayak; Connell, Mary J.; Stevens, Eric; Schroeter, Alexandria; Chen, Man; MacPherson, Skye; Serra, Andreia M.; Adachi, Yumiko; Holmes, Margaret A.; Li, Yuxing; Klevit, Rachel E.; Graham, Barney S.; Wyatt, Richard T.; Baker, David; Strong, Roland K.; Crowe, James E.; Johnson, Philip R.; Schief, William R.
2014-03-01
Vaccines prevent infectious disease largely by inducing protective neutralizing antibodies against vulnerable epitopes. Several major pathogens have resisted traditional vaccine development, although vulnerable epitopes targeted by neutralizing antibodies have been identified for several such cases. Hence, new vaccine design methods to induce epitope-specific neutralizing antibodies are needed. Here we show, with a neutralization epitope from respiratory syncytial virus, that computational protein design can generate small, thermally and conformationally stable protein scaffolds that accurately mimic the viral epitope structure and induce potent neutralizing antibodies. These scaffolds represent promising leads for the research and development of a human respiratory syncytial virus vaccine needed to protect infants, young children and the elderly. More generally, the results provide proof of principle for epitope-focused and scaffold-based vaccine design, and encourage the evaluation and further development of these strategies for a variety of other vaccine targets, including antigenically highly variable pathogens such as human immunodeficiency virus and influenza.
A proof of fulfillment of the strong bootstrap condition
International Nuclear Information System (INIS)
Fadin, V.S.; Papa, A.
2002-01-01
It is shown that the kernel of the BFKL equation for the octet color state of two Reggeized gluons satisfies the strong bootstrap condition in the next-to-leading order. This condition is much more restrictive than the one obtained from the requirement of the Reggeized form for the elastic scattering amplitudes in the next-to-leading approximation. It is necessary, however, for self-consistency of the assumption of the Reggeized form of the production amplitudes in multi-Regge kinematics, which are used in the derivation of the BFKL equation. The fulfillment of the strong bootstrap condition for the kernel opens the way to a rigorous proof of the BFKL equation in the next-to-leading approximation. (author)
Guiding periodontal pocket recolonization: a proof of concept.
Teughels, W; Newman, M G; Coucke, W; Haffajee, A D; Van Der Mei, H C; Haake, S Kinder; Schepers, E; Cassiman, J-J; Van Eldere, J; van Steenberghe, D; Quirynen, M
2007-11-01
The complexity of the periodontal microbiota resembles that of the gastro-intestinal tract, where infectious diseases are treatable via probiotics. In the oropharyngeal region, probiotic or replacement therapies have shown some benefit in the prevention of dental caries, otitis media, and pharyngitis, but their effectiveness in the treatment of periodontitis is unknown. Therefore, this study addressed the hypothesis that the application of selected beneficial bacteria, as an adjunct to scaling and root planing, would inhibit the periodontopathogen recolonization of periodontal pockets. Analysis of the data showed, in a beagle dog model, that when beneficial bacteria were applied in periodontal pockets adjunctively after root planing, subgingival recolonization of periodontopathogens was delayed and reduced, as was the degree of inflammation, at a clinically significant level. The study confirmed the hypothesis and provides a proof of concept for a guided pocket recolonization (GPR) approach in the treatment of periodontitis.
Mobile Data Collection Applications: A Proof of Concept
International Nuclear Information System (INIS)
Chang, J
2006-01-01
This project's goal is to provide a proof of concept for mobile data collection applications, and identify the best ways such applications could be implemented and used. Such an application should decrease the time and resources users now need to devote to redundant data processes, and provide an easy of locating and retrieving data at a later time. The two types of available mobile devices, Personal Digital Assistants and Tablet Personal Computers, each have their particular strengths that suggest themselves for certain types of applications. As such, parallel data collection applications have been developed, with a common web application for uploading information to the database. While these aspects have been developed and proven, it still remains to refine these applications, develop the tables to hold their data, and field-test with users for their feedback
An Examination of Counterexamples in Proofs and Refutations
Bağçe, Samet; Başkent, Can
2011-01-01
Dans son influent Proofs and Refutations (Preuves et Réfutations), Lakatos introduit les méthodes de preuves et de réfutations en discutant l’histoire et le développement de la formule V — E+F = 2 d’Euler pour les polyèdres en 3 dimensions. Lakatos croyait, en effet, que l’histoire du polyèdre présentait un bon exemple pour sa philosophie et sa méthodologie des mathématiques, incluant la géométrie. Le présent travail met l’accent sur les propriétés mathématiques et topologiques qui sont incor...
Towards the proof of the cosmic censorship hypothesis
Energy Technology Data Exchange (ETDEWEB)
Krolak, Andrzej
1986-05-01
An attempt is made to formulate the cosmic censorship hypothesis put forward by Penrose (1969, Riv. Nuovo Cimento Ser. 1 Num. Spec. 1 252) as a theorem which could be subject to mathematical proof. It is proved that a weakly asymptotically simple and empty spacetime must be future asymptotically predictable if the energy and the strong causality conditions hold and either all singularities are of Tipler's strong curvature type and once singularity occurs there exists a marginally outgoing null geodesic or each singularity is preceded by the occurrence of a closed trapped surface. The marginally outgoing null geodesics may not be admitted by general naked singularities. However, it is shown that they occur if on the Cauchy horizon the global hyperbolicity in violated is such a way that causal simplicity does not hold. This means that a wide class of nakedly singular spacetimes is considered. This result gives some support to the validity of Penrose's hypothesis.
Completing Einstein's Proof of E=mc2
Directory of Open Access Journals (Sweden)
Lo C. Y.
2006-10-01
Full Text Available It is shown that Einstein’s proof for E=mc2 is actually incomplete and therefore is not yet valid. A crucial step is his implicit assumption of treating the light as a bundle of massless particles. However, the energy-stress tensor of massless particles is incompatible with an electromagnetic energy-stress tensor. Thus, it is necessary to show that the total energy of a light ray includes also non-electromagnetic energy. It turns out, the existence of intrinsic difference between the photonic and the electromagnetic energy tensors is independent of the coupling of gravity. Nevertheless, their difference is the energy-stress tensor of the gravitational wave component that is accompanying the electromagnetic wave component. Concurrently, it is concluded that Einstein’s formula E=mc2 necessarily implies that the photons include non- electromagnetic energy and that the Einstein equation of 1915 must be rectified.
Towards the proof of the cosmic censorship hypothesis
International Nuclear Information System (INIS)
Krolak, Andrzej
1986-01-01
An attempt is made to formulate the cosmic censorship hypothesis put forward by Penrose [1969, Riv. Nuovo Cimento Ser. 1 Num. Spec. 1 252] as a theorem which could be subject to mathematical proof. It is proved that a weakly asymptotically simple and empty spacetime must be future asymptotically predictable if the energy and the strong causality conditions hold and either all singularities are of Tipler's strong curvature type and once singularity occurs there exists a marginally outgoing null geodesic or each singularity is preceded by the occurrence of a closed trapped surface. The marginally outgoing null geodesics may not be admitted by general naked singularities. However, it is shown that they occur if on the Cauchy horizon the global hyperbolicity in violated is such a way that causal simplicity does not hold. This means that a wide class of nakedly singular spacetimes is considered. This result gives some support to the validity of Penrose's hypothesis. (author)
General proof of the Greenberger-Horne-Zeilinger theorem
International Nuclear Information System (INIS)
Chen Zeqian
2004-01-01
It is proved that all states of three spin-(1/2) particles exhibiting an 'all versus nothing' contradiction between quantum mechanics and the local realism of Einstein, Podolsky, and Rosen are exactly the Greenberger-Horne-Zeilinger (GHZ) states and the states obtained from them by local unitary transformations. The proof is obtained by showing that there are at most four elements (except for a different sign) in a set of mutually commuting nonlocal spin observables in the three-qubit system and using the certain algebraic properties that Pauli's matrices satisfy. We show that only does such a set of four nonlocal spin observables present a Greenberger-Horne-Zeilinger-Mermin-like argument. This also reveals the equivalence between the GHZ theorem and maximal violation of the Bell inequality
The Renegotiation-Proofness Principle and Costly Renegotiation
Directory of Open Access Journals (Sweden)
James R. Brennan
2013-07-01
Full Text Available We study contracting and costly renegotiation in settings of complete, but unverifiable information, using the mechanism-design approach. We show how renegotiation activity is best modeled in the fundamentals of the mechanism-design framework, so that noncontractibility of renegotiation amounts to a constraint on the problem. We formalize and clarify the Renegotiation-Proofness Principle (RPP, which states that any state-contingent payoff vector that is implementable in an environment with renegotiation can also be implemented by a mechanism in which renegotiation does not occur in equilibrium. We observe that the RPP is not valid in some settings. However, we prove a general monotonicity result that confirms the RPP’s message about renegotiation opportunities having negative consequences. Our monotonicity theorem states that, as the costs of renegotiation increase, the set of implementable state-contingent payoffs becomes larger.
49 CFR 40.385 - Who bears the burden of proof in a PIE proceeding?
2010-10-01
... 49 Transportation 1 2010-10-01 2010-10-01 false Who bears the burden of proof in a PIE proceeding... TRANSPORTATION WORKPLACE DRUG AND ALCOHOL TESTING PROGRAMS Public Interest Exclusions § 40.385 Who bears the burden of proof in a PIE proceeding? (a) As the proponent of issuing a PIE, the initiating official bears...
Prevention of Crime and the Optimal Standard of Proof in Criminal Law
DEFF Research Database (Denmark)
Lando, Henrik
2003-01-01
The standard of proof in criminal law a®ects retributive justice throughthe number of wrong convictions and wrong acquittals. It also a®ects thelevel of crime, since a higher standard of proof implies less deterrence andless incapacitation. This article derives an expression for the optimal...
Proof and Pedagogy in Ancient China: Examples from Liu Hui's Commentary on "JIU ZHANG SUAN SHU".
Siu, Man-Keung
1993-01-01
Illustrates the pedagogical implications embodied in Liu Hui's discussion on the ancient Chinese mathematical classic "JIU ZHANG SUAN SHU" (Nine Chapters on the Mathematical Art) with respect to aspects of proof and, more generally, the role of proof in mathematics. Provides examples involving area and volume. (Contains 25 references.)…
The Failure to Construct Proof Based on Assimilation and Accommodation Framework from Piaget
Netti, Syukma; Nusantara, Toto; Subanji; Abadyo; Anwar, Lathiful
2016-01-01
The purpose of this article is to describe the process of a proof construction. It is more specific on the failure of the process. Piaget's frameworks, assimilation and accommodation, were used to analyze it. Method of this research was qualitative method. Data were collected by asking five students working on problems of proof using think aloud…
A simple proof of the existence of adiabatic invariants for perturbed reversible problems
International Nuclear Information System (INIS)
Chartier, P; Faou, E
2008-01-01
In this paper, we give a simple proof of the existence of invariants for reversible perturbations of action-angle systems. The originality of this proof is that it does not rely on canonical transformations that bring the system gradually closer to a normal form, but rather on a formal development of the invariant itself
An existence proof of a symmetric periodic orbit in the octahedral six-body problem
Cavalcanti, Anete Soares
2016-01-01
We present a proof of the existence of a periodic orbit for the Newtonian six-body problem with equal masses. This orbit has three double collisions each period and no multiple collisions. Our proof is based on the minimization of the Lagrangian action functional on a well chosen class of symmetric loops.
Some Comments On: A Historical Note on the Proof of the Area of a Circle
Naidu, Jaideep T.; Sanford, John F.
2011-01-01
In a recent paper by Wilamowsky et al. [6], an intuitive proof of the area of the circle dating back to the twelfth century was presented. They discuss challenges made to this proof and offer simple rebuttals to these challenges. The alternative solution presented by them is simple and elegant and can be explained rather easily to non-mathematics…
Proof and Proving in the Classroom: Dynamic Geometry Systems as Tools of Semiotic Mediation
Mariotti, Maria Alessandra
2012-01-01
The objective of this paper is to discuss the didactic potential offered by the use of a Dynamic Geometry System (DGS) in introducing students to theoretical thinking and specifically to the practice of proof. Starting from a discussion about what constitutes the general objective in developing students' sense of proof, the notion of Theorem is…
New zero-input overflow stability proofs based on Lyapunov theory
Werter, M.J.; Ritzerfeld, J.H.F.
1989-01-01
The authors demonstrate some proofs of zero-input overflow-oscillation suppression in recursive digital filters. The proofs are based on the second method of Lyapunov. For second-order digital filters with complex conjugated poles, the state describes a trajectory in the phase plane, spiraling
47 CFR 1.359 - Proof of official record; authentication of copy.
2010-10-01
... 47 Telecommunication 1 2010-10-01 2010-10-01 false Proof of official record; authentication of copy. 1.359 Section 1.359 Telecommunication FEDERAL COMMUNICATIONS COMMISSION GENERAL PRACTICE AND PROCEDURE Hearing Proceedings Evidence § 1.359 Proof of official record; authentication of copy. An official...
Ugurel, Isikhan; Morali, H. Sevgi; Karahan, Ozge; Boz, Burcak
2016-01-01
The purpose of this study is to describe the procedure and examples of visual proofs (VP-or proof without words) developed by gifted mathematics secondary school students after their experiences. The participants of this study are three male 9th grade students enrolled in a private science high school. In the first stage of the research a briefing…
6 CFR 13.30 - The hearing and burden of proof.
2010-01-01
... 6 Domestic Security 1 2010-01-01 2010-01-01 false The hearing and burden of proof. 13.30 Section 13.30 Domestic Security DEPARTMENT OF HOMELAND SECURITY, OFFICE OF THE SECRETARY PROGRAM FRAUD CIVIL REMEDIES § 13.30 The hearing and burden of proof. (a) The ALJ will conduct a hearing on the record in order...
A Correctness Proof of the Bakery Protocol in μCRL
Groote, J.F.; Korver, H.
1992-01-01
A specification of the bakery protocol is given in μCRL. We provide a simple correctness criterion for the protocol. Then the protocol is proven correct using a proof system that has been developed for μCRL. The proof primarily consists of algebraic manipulations based on specifications of
Using metrics for proof rules for recursively defined delay-insensitive specifications
Mallon, WC; Udding, JT
1997-01-01
An advantage of algebraic specifications of delay insensitive asynchronous processes over most other formalisms is that it allows the recursive definition of processes, and correctness proofs of an implementation through fixpoint induction. On the other hand, proofs by fixpoint induction are
The Logical Heart of a Classic Proof Revisited: A Guide to Godel's "Incompleteness" Theorems
Padula, Janice
2011-01-01
The study of Kurt Godel's proof of the "incompleteness" of a formal system such as "Principia Mathematica" is a great way to stimulate students' thinking and creative processes and interest in mathematics and its important developments. This article describes salient features of the proof together with ways to deal with potential difficulties for…
33 CFR 25.117 - Proof of amount claimed for personal injury or death.
2010-07-01
... 33 Navigation and Navigable Waters 1 2010-07-01 2010-07-01 false Proof of amount claimed for personal injury or death. 25.117 Section 25.117 Navigation and Navigable Waters COAST GUARD, DEPARTMENT OF HOMELAND SECURITY GENERAL CLAIMS General § 25.117 Proof of amount claimed for personal injury or death. The following evidence must be presented...
26 CFR 1.534-1 - Burden of proof as to unreasonable accumulations generally.
2010-04-01
... (CONTINUED) INCOME TAX (CONTINUED) INCOME TAXES (CONTINUED) Corporations Used to Avoid Income Tax on Shareholders § 1.534-1 Burden of proof as to unreasonable accumulations generally. For purposes of applying the... under section 535(c)(1), the burden of proof with respect to an allegation by the Commissioner that all...
Opportunities to Learn Reasoning and Proof in High School Mathematics Textbooks
Thompson, Denisse R.; Senk, Sharon L.; Johnson, Gwendolyn J.
2012-01-01
The nature and extent of reasoning and proof in the written (i.e., intended) curriculum of 20 contemporary high school mathematics textbooks were explored. Both the narrative and exercise sets in lessons dealing with the topics of exponents, logarithms, and polynomials were examined. The extent of proof-related reasoning varied by topic and…
Exploring Logical Reasoning and Mathematical Proof in Grade 6 Elementary School Students
Flegas, Konstantinos; Charalampos, Lemonidis
2013-01-01
Research and classroom experience reveal that the construction of mathematical proofs is difficult for all students. While many contemporary mathematics curricula recognize the importance of teaching reasoning and proof, in Greece these concepts are introduced at the secondary education level. In this study, we will attempt to investigate a group…
A Proof-checked Verification of a Real-Time Communication Protocol
Polak, I.
We present an analysis of a protocol developed by Philips to connect several components of an audio-system. The verification of the protocol is carried out using the timed I/O-automata model of Lynch and Vaandrager. The verification has been partially proof-checked with the interactive proof
A 3-axis force balanced accelerometer using a single proof-mass
Energy Technology Data Exchange (ETDEWEB)
Lemkin, M.A.; Boser, B.E.; Auslander, D. [Univ. of California, Berkeley, CA (United States); Smith, J. [Sandia National Lab., Albuquerque, NM (United States)
1997-04-01
This paper presents a new method for wideband force balancing a proof-mass in multiple axes simultaneously. Capacitive position sense and force feedback are accomplished using the same air-gap capacitors through time multiplexing. Proof of concept is experimentally demonstrated with a single-mass monolithic surface micromachined 3-axis accelerometer.
PROTECTORS FOR PROOFING OF IRON-CARBON-ALLOYS FROM CORROSIVE EFFECT
Directory of Open Access Journals (Sweden)
A. A. Pivovarchyk
2017-01-01
Full Text Available The article presents the results of practical testing of the developed compositions of protectors for proofing of low-carbon alloys used in the automotive industry and made from melting stocks of secondary aluminum raw materials. The results of the study of the effectiveness of the proofing of the developed protectors are presented.
30 CFR 18.62 - Tests to determine explosion-proof characteristics.
2010-07-01
... characteristics. 18.62 Section 18.62 Mineral Resources MINE SAFETY AND HEALTH ADMINISTRATION, DEPARTMENT OF LABOR... Inspections and Tests § 18.62 Tests to determine explosion-proof characteristics. (a) In testing for explosion-proof characteristics of an enclosure, it shall be filled and surrounded with various explosive mixtures...
47 CFR 1.254 - Nature of the hearing; burden of proof.
2010-10-01
... 47 Telecommunication 1 2010-10-01 2010-10-01 false Nature of the hearing; burden of proof. 1.254 Section 1.254 Telecommunication FEDERAL COMMUNICATIONS COMMISSION GENERAL PRACTICE AND PROCEDURE Hearing Proceedings Hearing and Intermediate Decision § 1.254 Nature of the hearing; burden of proof. Any hearing upon...
Using Hip-Hop Music and Music Videos to Teach Aristotle's Three Proofs
Sciullo, Nick J.
2014-01-01
Aristotle's three proofs remain central to students' understanding of argumentation and persuasion. They are fundamental for those just beginning rhetorical study, as well as being of interest to experienced scholars. Investing time in learning the proofs supports students' future practice and study of rhetoric. Unfortunately, the…
Proof and Proving: Logic, Impasses, and the Relationship to Problem Solving
Savic, Milos
2012-01-01
Becoming a skillful prover is critical for success in advanced undergraduate and graduate mathematics courses. In this dissertation, I report my investigations of proof and the proving process in three separate studies. In the first study, I examined the amount of logic used in student-constructed proofs to help in the design of…
A short proof that phylogenetic tree reconstruction by maximum likelihood is hard.
Roch, Sebastien
2006-01-01
Maximum likelihood is one of the most widely used techniques to infer evolutionary histories. Although it is thought to be intractable, a proof of its hardness has been lacking. Here, we give a short proof that computing the maximum likelihood tree is NP-hard by exploiting a connection between likelihood and parsimony observed by Tuffley and Steel.
A Short Proof that Phylogenetic Tree Reconstruction by Maximum Likelihood is Hard
Roch, S.
2005-01-01
Maximum likelihood is one of the most widely used techniques to infer evolutionary histories. Although it is thought to be intractable, a proof of its hardness has been lacking. Here, we give a short proof that computing the maximum likelihood tree is NP-hard by exploiting a connection between likelihood and parsimony observed by Tuffley and Steel.
Komatsu, Kotaro
2016-01-01
The process of proofs and refutations described by Lakatos is essential in school mathematics to provide students with an opportunity to experience how mathematical knowledge develops dynamically within the discipline of mathematics. In this paper, a framework for describing student processes of proofs and refutations is constructed using a set of…
The Vice: Some Historically Inspired and Proof-Generated Steps to Limits of Sequences
Burn, Bob
2005-01-01
This paper proposes a genetic development of the concept of limit of a sequence leading to a definition, through a succession of proofs rather than through a succession of sequences or a succession of epsilons. The major ideas on which it is based are historical and depend on Euclid, Archimedes, Fermat, Wallis and Newton. Proofs of equality by…
Modifying the ECC-based grouping-proof RFID system to increase inpatient medication safety.
Ko, Wen-Tsai; Chiou, Shin-Yan; Lu, Erl-Huei; Chang, Henry Ker-Chang
2014-09-01
RFID technology is increasingly used in applications that require tracking, identification, and authentication. It attaches RFID-readable tags to objects for identification and execution of specific RFID-enabled applications. Recently, research has focused on the use of grouping-proofs for preserving privacy in RFID applications, wherein a proof of two or more tags must be simultaneously scanned. In 2010, a privacy-preserving grouping proof protocol for RFID based on ECC in public-key cryptosystem was proposed but was shown to be vulnerable to tracking attacks. A proposed enhancement protocol was also shown to have defects which prevented proper execution. In 2012, Lin et al. proposed a more efficient RFID ECC-based grouping proof protocol to promote inpatient medication safety. However, we found this protocol is also vulnerable to tracking and impersonation attacks. We then propose a secure privacy-preserving RFID grouping proof protocol for inpatient medication safety and demonstrate its resistance to such attacks.
Benfenati, Francesco; Beretta, Gian Paolo
2018-04-01
We show that to prove the Onsager relations using the microscopic time reversibility one necessarily has to make an ergodic hypothesis, or a hypothesis closely linked to that. This is true in all the proofs of the Onsager relations in the literature: from the original proof by Onsager, to more advanced proofs in the context of linear response theory and the theory of Markov processes, to the proof in the context of the kinetic theory of gases. The only three proofs that do not require any kind of ergodic hypothesis are based on additional hypotheses on the macroscopic evolution: Ziegler's maximum entropy production principle (MEPP), the principle of time reversal invariance of the entropy production, or the steepest entropy ascent principle (SEAP).
DEVELOPMENT AND DEPLOYMENT ASSESSMENT OF A MELT-DOWN PROOF MODULAR MICRO REACTOR (MDP-MMR)
Energy Technology Data Exchange (ETDEWEB)
Hawari, Ayman I.; Venneri, Francesco
2018-04-02
The objective of this project is to perform feasibility assessment and technology gap analysis and establish a development roadmap for an innovative and highly compact Micro Modular Reactor (MMR) concept that integrates power production, power conversion and electricity generation in a single unit. The MMR is envisioned to use fully ceramic micro-encapsulated (FCM) fuel, a particularly robust form of TRISO fuel, and to be gas-cooled (e.g., He or CO2) and capable of generating power in the range of 10 to 40 MW-thermal. It is designed to be absolutely melt-down proof (MDP) under all circumstances including complete loss of coolant scenarios with no possible release of radioactive material, to be factory produced, to have a cycle length of greater than 20 years, and to be highly proliferation resistant. In addition, it will be transportable, retrievable and suitable for use in remote areas. As such, the MDP-MMR will represent a versatile reactor concept that is suitable for use in various applications including electricity generation, process heat utilization and propulsion.
Proof-of-Concept of the Phytoimmobilization Technology for TNX Outfall Delta: Final Report
Energy Technology Data Exchange (ETDEWEB)
Kaplan, D.I.
2001-06-04
A series of proof-of-principle studies was initiated to evaluate the soil remediation technology, phytoimmobilization, for application at the TNX Outfall Delta (TNX OD) operable unit. Phytoimmobilization involves two steps. The first step is entitled phytoextraction, and it takes place mostly during the spring and summer. During this step the plants extract contaminants from the sediment into the roots and then translocate the contaminants to the aboveground plant parts. The second step is referred to as sequestration and it takes place largely during the autumn and winter when annual plants senesce or deciduous trees drop their leaves. This step involves the immobilization of the contaminant once it leaches form the fallen leaves into a ''geomat,'' a geotextile embedded with mineral sequestering agents. This final report describes the results to date, including those reported in the status report (Kaplan et al. 2000a), those completed since the report was issued, and the preliminary calculations of the phytoimmobilization effectiveness.
Proof of Concept of Automated Collision Detection Technology in Rugby Sevens.
Clarke, Anthea C; Anson, Judith M; Pyne, David B
2017-04-01
Clarke, AC, Anson, JM, and Pyne, DB. Proof of concept of automated collision detection technology in rugby sevens. J Strength Cond Res 31(4): 1116-1120, 2017-Developments in microsensor technology allow for automated detection of collisions in various codes of football, removing the need for time-consuming postprocessing of video footage. However, little research is available on the ability of microsensor technology to be used across various sports or genders. Game video footage was matched with microsensor-detected collisions (GPSports) in one men's (n = 12 players) and one women's (n = 12) rugby sevens match. True-positive, false-positive, and false-negative events between video and microsensor-detected collisions were used to calculate recall (ability to detect a collision) and precision (accurately identify a collision). The precision was similar between the men's and women's rugby sevens game (∼0.72; scale 0.00-1.00); however, the recall in the women's game (0.45) was less than that for the men's game (0.69). This resulted in 45% of collisions for men and 62% of collisions for women being incorrectly labeled. Currently, the automated collision detection system in GPSports microtechnology units has only modest utility in rugby sevens, and it seems that a rugby sevens-specific algorithm is needed. Differences in measures between the men's and women's game may be a result of physical size, and strength, and physicality, as well as technical and tactical factors.
Performance evaluation of a proof-of-concept 70 W internal reforming methanol fuel cell system
Avgouropoulos, G.; Schlicker, S.; Schelhaas, K.-P.; Papavasiliou, J.; Papadimitriou, K. D.; Theodorakopoulou, E.; Gourdoupi, N.; Machocki, A.; Ioannides, T.; Kallitsis, J. K.; Kolb, G.; Neophytides, S.
2016-03-01
A proof-of-concept 70 W Internal Reforming Methanol Fuel Cell (IRMFC) stack including Balance-of-Plant (BoP) was designed, assembled and tested. Advent TPS® high-temperature, polymer electrolyte membrane electrode assemblies were employed for fuel cell operation at 200 °C. In order to avoid phosphoric acid poisoning of the reformer, the anode electrocatalyst of each cell was indirectly adjoined, via a separation plate, to a highly active CuMnAlOx catalyst coated onto copper foam, which served as methanol reforming layer. The reformer was in-situ converting the methanol/steam feed to the required hydrogen (internal reforming concept) at 200 °C, which was readily oxidized at the anode electrodes. The operation of the IRMFC was supported through a number of BoP components consisting of a start-up subsystem (air blower, evaporator and monolithic burner), a combined afterburner/evaporator device, methanol/water supply and data acquisition units (reactants/products analysis, temperature control, flow control, system load/output control). Depending on the composition of the liquid MeOH/H2O feed streams, current densities up to 0.18 A cm-2 and power output up to 70 W could be obtained with remarkable repeatability. Specific targets for improvement of the efficiency were identified.
Rabies Elimination in Dogs in the United States
Centers for Disease Control (CDC) Podcasts
Rabies has been eliminated from dogs in the United States through efforts to promote annual vaccination, but it's still a problem in wildlife in the U.S. and in wild and domesticated animals abroad. In this podcast, CDC's Dr. Charles Rupprecht discusses a study which provides proof of the elimination of rabies in dogs and what this means for the average American.
Proof of the holographic formula for entanglement entropy
International Nuclear Information System (INIS)
Fursaev, Dmitri V.
2006-01-01
Entanglement entropy for a spatial partition of a quantum system is studied in theories which admit a dual description in terms of the anti-de Sitter (AdS) gravity one dimension higher. A general proof of the holographic formula which relates the entropy to the area of a codimension 2 minimal hypersurface embedded in the bulk AdS space is given. The entanglement entropy is determined by a partition function which is defined as a path integral over Riemannian AdS geometries with non-trivial boundary conditions. The topology of the Riemannian spaces puts restrictions on the choice of the minimal hypersurface for a given boundary conditions. The entanglement entropy is also considered in Randall-Sundrum braneworld models where its asymptotic expansion is derived when the curvature radius of the brane is much larger than the AdS radius. Special attention is paid to the geometrical structure of anomalous terms in the entropy in four dimensions. Modification of the holographic formula by the higher curvature terms in the bulk is briefly discussed
Tritium proof-of-principle pellet injector results
International Nuclear Information System (INIS)
Fisher, P.W.; Fehling, D.T.; Gouge, M.J.; Milora, S.L.
1989-01-01
The tritium proof-of-principle (TPOP) experiment was built by Oak Ridge National Laboratory (ORNL) to demonstrate the feasibility of forming solid tritium pellets and accelerating them to high velocities for fueling future fusion reactors. TPOP used a pneumatic pipe-gun with a 4-mm-i.d. by 1-m-long barrel. Nearly 1500 pellets were fired by the gun during the course of the experiment; about a third of these were tritium or mixtures of deuterium and tritium. The system also contained a cryogenic 3 He separator that reduced the 3 He level to <0.005%. Pure tritium pellets were accelerated to 1400 m/s. Experiments evaluated the effect of cryostat temperature and fill pressure on pellet size, the production of pellets from mixtures of tritium and deuterium, and the effect of aging on pellet integrity. The tritium phase of these experiments was performed at the Tritium Systems Test Assembly (TSTA) at Los Alamos National Laboratory. About 100 kCi of tritium was processed through the apparatus without incident. 8 refs., 7 figs
SPARCLE: Electrostatic Dust Control Tool Proof of Concept
Clark, P. E.; Curtis, S. A.; Minetto, F.; Marshall, J.; Nuth, J.; Calle, C.
2010-01-01
Successful exploration of most planetary surfaces, with their impact-generated dusty regoliths, will depend on the capabilities to keep surfaces free of the performance-compromising dust. Once in contact with surfaces, whether set in motion by natural or mechanical means, regolith fines, or dust, behave like abrasive Velcro, coating surfaces, clogging mechanisms, making movement progressively more difticult, and being almost impossible to remove by mechanical mcans (brushing). The successful dust removal strategy will deal with dust dynamics resulting from interaction between Van der Waals and Coulombic forces. Here, proof of concept for an electrostatically-based concept for dust control tool is described and demonstrated. A low power focused electron beam is used in the presence of a small electrical field to increase the negative charge to mass ratio of a dusty surface until dust repulsion and attraction to a lower potential surface, acting as a dust collector, occurred. Our goal is a compact device of less than 5 kg mass and using less than 5 watts of power to be operational in less than 5 years with heritage from ionic sweepers for active spacecraft potential control (e.g ., on POLAR). Rovers could be fitted with devices that could hamess the removal of dust for sampling as part of the extended exploration process on Mercury, Mars, asteroids or outer solar system satellites, as well as the Moon.
The RCF [Rock Characterisation Facility]: engineering issues. Proof of evidence
International Nuclear Information System (INIS)
Allison, J.A.
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 focuses on the engineering issues in key areas of uncertainty which Nirex claim can only be resolved through the construction of an RCF. These are: groundwater flow and radionuclide transport; natural and induced changes in the geological barrier; the design and construction of the repository. Particular attention is drawn to the uncertainties regarding the groundwater pathway due to the dominant influence of fractures and variability in the host rock. Significant uncertainties about the host rock performance will remain after the construction of the RCF and associated tests are complete. (5 figures; 28 references). (UK)
Hydrogeological investigation programmes: best practice. Proof of evidence
International Nuclear Information System (INIS)
Reeves, G.M.
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. Drawing on best practice in hydrogeological investigation from case studies of groundwater assessment in the UK and the Canadian nuclear waste disposal programme, the hydrogeological monitoring work undertaken to date at Sellafield is found to be inadequate in both scope and duration. The lack of adequate equilibrium hydrogeological data is significant in its implications for the RCF both in terms of the effects on local water resources and the proposed repository. It is concluded, therefore, that the construction of the RCF should be postponed pending the establishment of the equilibrium hydrogeological regime. (10 figures; 33 references). (UK)
Forensic devices for activism: Metadata tracking and public proof
Directory of Open Access Journals (Sweden)
Lonneke van der Velden
2015-10-01
Full Text Available The central topic of this paper is a mobile phone application, ‘InformaCam’, which turns metadata from a surveillance risk into a method for the production of public proof. InformaCam allows one to manage and delete metadata from images and videos in order to diminish surveillance risks related to online tracking. Furthermore, it structures and stores the metadata in such a way that the documentary material becomes better accommodated to evidentiary settings, if needed. In this paper I propose InformaCam should be interpreted as a ‘forensic device’. By using the conceptualization of forensics and work on socio-technical devices the paper discusses how InformaCam, through a range of interventions, rearranges metadata into a technology of evidence. InformaCam explicitly recognizes mobile phones as context aware, uses their sensors, and structures metadata in order to facilitate data analysis after images are captured. Through these modifications it invents a form of ‘sensory data forensics'. By treating data in this particular way, surveillance resistance does more than seeking awareness. It becomes engaged with investigatory practices. Considering the extent by which states conduct metadata surveillance, the project can be seen as a timely response to the unequal distribution of power over data.
Quality prediction and mistake proofing: An LDRD final report
Energy Technology Data Exchange (ETDEWEB)
McDonald, M.J.
1998-03-01
Sandia National Laboratories is responsible for assuring that the US nuclear deterrent remains credible and that the one in a billion disaster of unintended nuclear detonation never occurs. Letting mistake-generated defects into the stockpile would undermine its mission. The current era of shrinking stockpiles is shrinking Sandia`s opportunities to discover and correct mistakes and fine tune processes over long production runs. In response, Sandia has chosen to develop and use a science-based, life cycle systems engineering practices that, in part, require understanding the design to manufacturing issues in enough detail to tune processes and eliminate mistakes before ever making a part. Defect prevention is a key area of concern that currently lacks sufficient theoretical understanding. This report is the result of a scoping study in the application of best-practice quality techniques that could address Sandia`s stockpile mission. The study provides detail on sources and control of mistakes, poka-yoke or mistake-proofing techniques, the Toyota Production system, and design theory in relation to manufacturing quality prediction. Scoping experiments are described and areas for future research are identified.
Proof of Concept for a Simple Smartphone Sky Monitor
Kantamneni, Abhilash; Nemiroff, R. J.; Brisbois, C.
2013-01-01
We present a novel approach of obtaining a cloud and bright sky monitor by using a standard smartphone with a downloadable app. The addition of an inexpensive fisheye lens can extend the angular range to the entire sky visible above the device. A preliminary proof of concept image shows an optical limit of about visual magnitude 5 for a 70-second exposure. Support science objectives include cloud monitoring in a manner similar to the more expensive cloud monitors in use at most major astronomical observatories, making expensive observing time at these observatories more efficient. Primary science objectives include bright meteor tracking, bright comet tracking, and monitoring the variability of bright stars. Citizen science objectives include crowd sourcing of many networked sky monitoring smartphones typically in broader support of many of the primary science goals. The deployment of a citizen smartphone array in an active science mode could leverage the sky monitoring data infrastructure to track other non-visual science opportunities, including monitoring the Earth's magnetic field for the effects of solar flares and exhaustive surface coverage for strong seismic events.
Assessment of Replacement Bridge using Proof Load Test
Sundru, Saibabu
2017-11-01
This work begins with an overview of the condition assessment of old bridge and explained reasons for demolishing of the bridge. Briefly presented flexural analysis of two stage post-tensioned prestressed concrete girder, which will be replace the old (new bridge). Construction of I-girder and composite girder at first stage and second stage prestressing respectively is explained with figures. Assessment of the load-caring capacity of the one span of the replacement bridge with simple supports using proof load test is presented which is mandatory according to Indian standards. Weighted sand bags were used to load the bridge up to a predetermined service load with impact factor. Deflections of the I-girders of the bridge were measured at selected locations along and across the bridge span and compared with computed values. Linear response was observed during loading and unloading. Considering the load test results, theoretical estimation and criteria as stipulated in codes of practice, it can be inferred that prestressed concrete I-girder bridge span has adequate capacity to carry the loads and hence, deemed to have passed the test.
The RCF and government policy. Proof of evidence
International Nuclear Information System (INIS)
Green, P.; Western, 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 uderground repository for the disposal of radioactive waste. The objections were raised at a Planning Inquiry in 1995. This evidence examines Nirex's proposal in the light of UK Government Policy on radioactive waste disposal and in particular recent significant changes. These changes, set out in a White Paper in July 1995, specify scientific and sustainability criteria which in the view of FOE are not met by Nirex's research relating to the site and especially to the RCF. It is concluded that planning permission should not be granted in the light of the large amount of further work that needs to be undertaken before construction, the length of time this would take, and the lack of a properly validated baseline model of existing conditions at the site. (43 references). (UK)
Peac – A set of tools to quickly enable Proof on a cluster
International Nuclear Information System (INIS)
Ganis, G; Vala, M
2012-01-01
With advent of the analysis phase of Lhcdata-processing, interest in Proof technology has considerably increased. While setting up a simple Proof cluster for basic usage is reasonably straightforward, exploiting the several new functionalities added in recent times may be complicated. Peac, standing for Proof Enabled Analysis Cluster, is a set of tools aiming to facilitate the setup and management of a Proof cluster. Peac is based on the experience made by setting up Proof for the Alice analysis facilities. It allows to easily build and configure Root and the additional software needed on the cluster, and may serve as distributor of binaries via Xrootd. Peac uses Proof-On-Demand (PoD) for resource management (start, stop or daemons). Finally, Peac sets-up and configures dataset management (using the Afdsmgrd daemon), as well as cluster monitoring (machine status and Proof query summaries) using MonAlisa. In this respect, a MonAlisa page has been dedicated to Peac users, so that a cluster managed by Peac can be automatically monitored. In this paper we present and describe the status and main components of Peac and show details about its usage.
Keyson, D.V.; Freudenthal, A.; De Hoogh, M.P.A.; Dekoven, E.A.M.
2001-01-01
The invention relates to an interface unit comprising at least a display unit for communication with a user, which is designed for being coupled with a control unit for at least one or more parameters in a living or working environment, such as the temperature setting in a house, which control unit
Experimental study of the effect of wearing dust-proof mask on inhaled aerosol particle size
International Nuclear Information System (INIS)
Lu Shunguang; Mei Chongsheng; Wu Yuangqing; Ren Liuan.
1985-01-01
This paper describes a method for measuring particle size of inhaled aerosol with a phantom of human head wearing dust-proof mask and a cascade impactor. The results showed that AMAD of inhaled aerosol was degraded and the size distribution of particles changed when the dust-proof mask was wearing. The leak rate of mask increased as the size of dust particles decreased. The results are applicable to estimate internal exposure dose and to evaluate the dust-proof capacity of mask
All-versus-nothing proofs with n qubits distributed between m parties
International Nuclear Information System (INIS)
Cabello, Adan; Moreno, Pilar
2010-01-01
All-versus-nothing (AVN) proofs show the conflict between Einstein, Podolsky, and Rosen's elements of reality and the perfect correlations of some quantum states. Given an n-qubit state distributed between m parties, we provide a method with which to decide whether this distribution allows an m-partite AVN proof specific for this state using only single-qubit measurements. We apply this method to some recently obtained n-qubit m-particle states. In addition, we provide all inequivalent AVN proofs with less than nine qubits and a minimum number of parties.
All-versus-nothing proofs with n qubits distributed between m parties
Cabello, Adán; Moreno, Pilar
2010-04-01
All-versus-nothing (AVN) proofs show the conflict between Einstein, Podolsky, and Rosen’s elements of reality and the perfect correlations of some quantum states. Given an n-qubit state distributed between m parties, we provide a method with which to decide whether this distribution allows an m-partite AVN proof specific for this state using only single-qubit measurements. We apply this method to some recently obtained n-qubit m-particle states. In addition, we provide all inequivalent AVN proofs with less than nine qubits and a minimum number of parties.
Proton-minibeam radiation therapy: A proof of concept
Energy Technology Data Exchange (ETDEWEB)
Prezado, Y. [IMNC-UMR 8165, CNRS, Paris 7 and Paris 11 Universities, 15 rue Georges Clemenceau, 91406 Orsay Cedex (France); Fois, G. R. [Dipartimento di Fisica, Universita degli Studi di Cagliari, Strada provinciale Monserrato Sestu km 0.700, Monserrato, Cagliari 09042 (Italy)
2013-03-15
Purpose: This Monte Carlo simulation work aims at studying a new radiotherapy approach called proton-minibeam radiation therapy (pMBRT). The main objective of this proof of concept was the evaluation of the possible gain in tissue sparing, thanks to the spatial fractionation of the dose, which could be used to deposit higher and potentially curative doses in clinical cases where tissue tolerances are a limit for conventional methods. Methods: Monte Carlo simulations (GATE v.6) have been used as a method to calculate the ratio of the peak-to-valley doses (PVDR) for arrays of proton minibeams of 0.7 mm width and several center-to-center distances, at different depths in a water phantom. The beam penumbras were also evaluated as an important parameter for tissue sparing, for example, in the treatment of non-cancer diseases like epilepsy. Two proton energies were considered in this study: a clinically relevant energy (105 MeV) and a very high energy (1 GeV), to benefit from a reduced lateral scattering. For the latter case, an interlaced geometry was also evaluated. Results: Higher or similar PVDR than the ones obtained in x-rays minibeam radiation therapy were achieved in several pMBRT configurations. In addition, for the two energies studied, the beam penumbras are smaller than in the case of Gamma Knife radiosurgery. Conclusions: The high PVDR obtained for some configurations and the small penumbras in comparison with existing radiosurgery techniques, suggest a potential gain in healthy tissue sparing in this new technique. Biological studies are warranted to assess the effects of pMBRT on both normal and tumoral tissues.
A new proof-of-principle contraband detection system
Energy Technology Data Exchange (ETDEWEB)
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.
Bullet dents – “Proof marks” or battle damage
Directory of Open Access Journals (Sweden)
Williams, Alan
2006-12-01
Full Text Available
It is well known that the breastplates of many armours from the later 16th century and the 17th century bear the hemispherical dents generally known as proof marks. It has been taken as axiomatic that these marks were made in order to demonstrate the armours’ effectiveness against firearms. If however some of these dents are compared with dents which are the result of battle damage, it appears that they were made by energy levels of a different order of magnitude, and offer little guarantee as to the “proof” of the armour.
Como es bien sabido, muchos petos de armaduras de finales del siglo XVI y del XVII tienen abolladuras semiesféricas conocidas como pruebas de arcabuz. Se ha considerado axiomático que estas abolladuras fueron hechas para demostrar la efectividad de las armaduras frente a las armas de fuego. Sin embargo, si se comparan con otras debidas a daños en combate, parece que fueron producidas por energías de diferente orden o magnitud, al tiempo que ofrecen pocas garantías como “pruebas” de las armaduras.
Development of e-Juba, a preliminary proof of concept unmanned ...
African Journals Online (AJOL)
Development of e-Juba, a preliminary proof of concept unmanned aerial vehicle designed to facilitate the transportation of microbiological test samples from remote rural clinics to National Health Laboratory Service laboratories.
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...
A Forward-secure Grouping-proof Protocol for Multiple RFID Tags
Directory of Open Access Journals (Sweden)
Liu Ya-li
2012-09-01
Full Text Available Designing secure and robust grouping-proof protocols based on RFID characteristics becomes a hotspot in the research of security in Internet of Things (IOT. The proposed grouping-proof protocols recently have security and/or privacy omission and these schemes afford order-dependence by relaying message among tags through an RFID reader. In consequence, aiming at enhancing the robustness, improving scalability, reducing the computation costs on resource-constrained devices, and meanwhile combing Computational Intelligence (CI with Secure Multi-party Communication (SMC, a Forward-Secure Grouping-Proof Protocol (FSGP for multiple RFID tags based on Shamir's (, secret sharing is proposed. In comparison with the previous grouping-proof protocols, FSGP has the characteristics of forward-security and order-independence addressing the scalability issue by avoiding relaying message. Our protocol provides security enhancement, performance improvement, and meanwhile controls the computation cost, which equilibrates both security and low cost requirements for RFID tags.
Between Precautionary Principle and "Sound Science": Distributing the Burdens of Proof
Belt, v.d. H.; Gremmen, B.
2002-01-01
Opponents of biotechnology ofteninvoke the Precautionary Principle to advancetheir cause, whereas biotech enthusiasts preferto appeal to ``sound science.'' Publicauthorities are still groping for a usefuldefinition. A crucial issue in this debate isthe distribution of the burden of proof amongthe
The Role of Proof in Comprehending and Teaching Elementary Linear Algebra.
Uhlig, Frank
2002-01-01
Describes how elementary linear algebra can be taught successfully while introducing students to the concept and practice of mathematical proof. Suggests exploring the concept of solvability of linear systems first via the row echelon form (REF). (Author/KHR)
2016-02-01
proof in mathematics. For example, consider the proof of the Pythagorean Theorem illustrated at: http://www.cut-the-knot.org/ pythagoras / where 112...methods and tools have made significant progress in their ability to model software designs and prove correctness theorems about the systems modeled...assumption criticality” or “ theorem root set size” SITAPS detects potentially brittle verification cases. SITAPS provides tools and techniques that
A short list color proof of Grötzsch's theorem
DEFF Research Database (Denmark)
Thomassen, Carsten
2003-01-01
We give a short proof of the result that every planar graph of girth 5 is 3-choosable and hence also of Grotzsch's theorem saying that every planar triangle-free graph is 3-colorable.......We give a short proof of the result that every planar graph of girth 5 is 3-choosable and hence also of Grotzsch's theorem saying that every planar triangle-free graph is 3-colorable....
Static spacetimes with prescribed multipole moments: a proof of a conjecture by Geroch
International Nuclear Information System (INIS)
Herberthson, Magnus
2009-01-01
In this paper we give sufficient conditions on a sequence of multipole moments for a static spacetime to exist with precisely these moments. The proof is constructive in the sense that a metric having prescribed multipole moments up to a given order can be calculated. Since these sufficient conditions agree with already known necessary conditions, this completes the proof of a long standing conjecture due to Geroch.
Parity proofs of the Kochen–Specker theorem based on the Lie algebra E8
International Nuclear Information System (INIS)
Waegell, Mordecai; Aravind, P K
2015-01-01
The 240 root vectors of the Lie algebra E8 lead to a system of 120 rays in a real eight-dimensional Hilbert space that contains a large number of parity proofs of the Kochen–Specker (KS) theorem. After introducing the rays in a triacontagonal representation due to Coxeter, we present their KS diagram in the form of a ‘basis table’ showing all 2025 bases (i.e., sets of eight mutually orthogonal rays) formed by the rays. Only a few of the bases are actually listed, but simple rules are given, based on the symmetries of E8, for obtaining all the other bases from the ones shown. The basis table is an object of great interest because all the parity proofs of E8 can be exhibited as subsets of it. We show how the triacontagonal representation of E8 facilitates the identification of substructures that are more easily searched for their parity proofs. We have found hundreds of different types of parity proofs, ranging from 9 bases (or contexts) at the low end to 35 bases at the high end, and involving projectors of various ranks and multiplicities. After giving an overview of the proofs we found, we present a few concrete examples of the proofs that illustrate both their generic features as well as some of their more unusual properties. In particular, we present a proof involving 34 rays and 9 bases that appears to provide the most compact proof of the KS theorem found to date in eight-dimensions. (paper)
Flow-Control Systems Proof of Concept for Snowmelt Runoff at McMurdo Station, Antarctica
2017-01-01
ER D C/ CR RE L TR -1 7- 1 Engineering for Polar Operations , Logistics, and Research (EPOLAR) Flow-Control Systems Proof of Concept for...January 2017 Flow-Control Systems Proof of Concept for Snowmelt Runoff at McMurdo Station, Antarctica Rosa Affleck U.S. Army Engineer Research and...runoff can be extreme where the flow can overwhelm both the drainage system and the operations and maintenance (O&M) crew. CRREL has been involved
Applying Gödel's Dialectica Interpretation to Obtain a Constructive Proof of Higman's Lemma
Directory of Open Access Journals (Sweden)
Thomas Powell
2012-10-01
Full Text Available We use Gödel's Dialectica interpretation to analyse Nash-Williams' elegant but non-constructive "minimal bad sequence" proof of Higman's Lemma. The result is a concise constructive proof of the lemma (for arbitrary decidable well-quasi-orders in which Nash-Williams' combinatorial idea is clearly present, along with an explicit program for finding an embedded pair in sequences of words.
Billings, Jake
2017-01-01
A new variation of blockchain proof of work algorithm is proposed to incentivize the timely execution of image processing algorithms. A sample image processing algorithm is proposed to determine interesting images using analysis of the entropy of pixel subsets within images. The efficacy of the image processing algorithm is examined using two small sets of training and test data. The interesting image algorithm is then integrated into a simplified blockchain mining proof of work algorithm bas...
Another short and elementary proof of strong subadditivity of quantum entropy
Ruskai, Mary Beth
2007-08-01
A short and elementary proof of the joint convexity of relative entropy is presented, using nothing beyond linear algebra. The key ingredients are an easily verified integral representation and the strategy used to prove the Cauchy-Schwarz inequality in elementary courses. Several consequences are proved in a way which allows an elementary proof of strong subadditivity in a few more lines. Some expository material on Schwarz inequalities for operators and the Holevo bound for partial measurements is also included.
Quantum protocols for transference of proof of zero-knowledge systems
Nascimento, Jose Claudio do; Ramos, Rubens Viana
2007-01-01
Zero-knowledge proof system is an important protocol that can be used as a basic block for construction of other more complex cryptographic protocols. An intrinsic characteristic of a zero-knowledge systems is the assumption that is impossible for the verifier to show to a third part that he has interacted with the prover. However, it has been shown that using quantum correlations the impossibility of transferring proofs can be successfully attacked. In this work we show two new protocols for...
A Short Proof of Euler's Inequality R ≥ 2r Theorem. Let ∆ ABC be an ...
Indian Academy of Sciences (India)
IAS Admin
A Short Proof of Euler's Inequality R ≥ 2r. Theorem. Let ∆ ABC be an arbitrary triangle with circumradius R and inradius r. Then R ≥ 2r with equality holding if and only if ∆ABC is equilateral. This was first published by Euler in 1765. Since then several proofs have followed, some geometric and some algebraic. We will use ...
Difference between the Approach of Aristotle and Avicenna in Proof of the Existence of God
Directory of Open Access Journals (Sweden)
Mohammad Saeedimehr
2012-04-01
Full Text Available Comparing between approach of Aristotle and Avicenna in proof of the existence of God, is a sign of basic difference between Peripatetic idea of Aristotle and Avicenna, also the different way that has been gone in the Muslim world compared to the west, in proof of the existence of God. Aristotle in “Philosophies”, has been mentioned to the two arguments: "degrees of perfection argument" and "teleological argument", but his main argument on the existence of God, is “the argument from motion” that has explained details of it in the Lambda Book of Metaphysics and Physics. Each of the three above arguments has a cosmological approach and is categorized as the posteriori arguments. For Avicenna, acceptance of that Aristotle had wanted to prove the existence of God by natural things, such as world motion, is very hard. According to this thinking, he focused all his efforts on not using the cosmological arguments to prove the existence of God. Avicenna used “the proof of middle and the end” and “the proof from contingency and necessity” in several of his books and his latest exposition of the proof from contingency and necessity has named “proof of the truthful”. His argument is ontological and priori too.
Difference between the Approach of Aristotle and Avicenna in Proof of the Existence of God
Directory of Open Access Journals (Sweden)
Saleh Tayebnia, M
2012-01-01
Full Text Available Comparing between approach of Aristotle and Avicenna in proof of the existence of God, is a sign of basic difference between Peripatetic idea of Aristotle and Avicenna, also the different way that has been gone in the Muslim world compared to the west, in proof of the existence of God.Aristotle in “On Philosophies”, has been mentioned to the two arguments: "degrees of perfection argument" and "teleological argument", but his main argument on the existence of God, is “the argument from motion” that has explained details of it in the Lambda Book of Metaphysics and Physics. Each of the three above arguments has a cosmological approach and is categorized as the posteriori arguments.For Avicenna, acceptance of that Aristotle had wanted to prove the existence of God by natural things, such as world motion, is very hard. According to this thinking, he focused all his efforts on not using the cosmological arguments to prove the existence of God. Avicenna used “the proof of middle and the end” and “the proof from contingency and necessity” in several of his books and his latest exposition of the proof from contingency and necessity has named “proof of the truthful”. His argument is ontological and priori too
Difference between the Approach of Aristotle and Avicenna in Proof of the Existence of God
Directory of Open Access Journals (Sweden)
Mohammadsaleh Tayebnia
2012-05-01
Full Text Available Comparing between approach of Aristotle and Avicenna in proof of the existence of God, is a sign of basic difference between Peripatetic idea of Aristotle and Avicenna, also the different way that has been gone in the Muslim world compared to the west, in proof of the existence of God. Aristotle in “Philosophies”, has been mentioned to the two arguments: "degrees of perfection argument" and "teleological argument", but his main argument on the existence of God, is “the argument from motion” that has explained details of it in the Lambda Book of Metaphysics and Physics. Each of the three above arguments has a cosmological approach and is categorized as the posteriori arguments. For Avicenna, acceptance of that Aristotle had wanted to prove the existence of God by natural things, such as world motion, is very hard. According to this thinking, he focused all his efforts on not using the cosmological arguments to prove the existence of God. Avicenna used “the proof of middle and the end” and “the proof from contingency and necessity” in several of his books and his latest exposition of the proof from contingency and necessity has named “proof of the truthful”. His argument is ontological and priori too.
A Lightweight RFID Grouping-Proof Protocol Based on Parallel Mode and DHCP Mechanism
Directory of Open Access Journals (Sweden)
Zhicai Shi
2017-07-01
Full Text Available A Radio Frequency Identification (RFID grouping-proof protocol is to generate an evidence of the simultaneous existence of a group of tags and it has been applied to many different fields. For current grouping-proof protocols, there still exist some flaws such as low grouping-proof efficiency, being vulnerable to trace attack and information leakage. To improve the secure performance and efficiency, we propose a lightweight RFID grouping-proof protocol based on parallel mode and DHCP (Dynamic Host Configuration Protocol mechanism. Our protocol involves multiple readers and multiple tag groups. During the grouping-proof period, one reader and one tag group are chosen by the verifier by means of DHCP mechanism. When only a part of the tags of the chosen group exist, the protocol can also give the evidence of their co-existence. Our protocol utilizes parallel communication mode between reader and tags so as to ensure its grouping-proof efficiency. It only uses Hash function to complete the mutual authentication among verifier, readers and tags. It can preserve the privacy of the RFID system and resist the attacks such as eavesdropping, replay, trace and impersonation. Therefore the protocol is secure, flexible and efficient. It only uses some lightweight operations such as Hash function and a pseudorandom number generator. Therefore it is very suitable to some low-cost RFID systems.
Feriyanto
2018-01-01
This research aims to describe the ability of students’ mathematical proof in determining the validity of argument reviewed from gender differences. The subjects of this research were one male and one female student of the fifth semester of Mathematic Education study program. The subjects were selected based on the highest mathematics ability which was assesed from their previous assignments and tests. In addition, the communication ability of the subjects was also considered in order to facilitate the researcher in conducting interviews. Based on the result of the test with direct and indirect proof, it could be concluded that the subjects were able to: 1) mention all facts/premises and write about what should be shown (conclusion) in direct proof and write additional premise in indirect proof; 2) connect facts/premises to concepts which must be mastered; 3) use equivalent concept to manipulate and organize the proof; 4) use the concept of syllogism and tollens mode to obtain the desired conclusion; 5) construct mathematical evidence systematically, and logically; 6) complement the reason for each step appropriately. The difference was that the male subject wrote the final conclusion, while the female subject did not write the final conclusion on the proof.
Automated joint space width quantification of hand and wrist joints: a proof of concept study.
Huo, Yinghe; Veldhuizen, Renske D; van der Heijde, Desiree M; Besselink, Nick J; Jacobs, Johannes W G; van Laar, Jacob M; Viergever, Max A; Vincken, Koen L; Lafeber, Floris P; de Hair, Maria J H
2016-01-01
To compare as proof of concept the sensitivity to change of automated quantification of radiographic wrist and hand joint space width (JSW) with scoring JSW according to the Sharp/van der Heijde scoring method (SHS) in two strategy groups of a treat-to-target and tight-control early rheumatoid arthritis (RA) study. Digital radiographs were assessed for JSW changes of 134 patients of the 236 patients participating in the second Computer Assisted Management in Early Rheumatoid Arthritis trial, of whom both baseline and year 2 radiographs were available (year 1 radiographs n=125). Of those 134 patients, 70 started with methotrexate and prednisone (MTX+Pred) and 64 with MTX and placebo (MTX+Plac). JSW change over 1 and 2 years of the hands and wrists was assessed, applying both the joint space narrowing (JSN) subscore of the SHS by 2 readers and the automated assessment with the JSW quantification software 'JSQ'. For both methods, progression of JSW change of the hand and wrist was analysed using linear mixed modelling (dependent variable 'JSW', factor 'strategy group', covariate 'follow-up time in years', interaction term 'strategy group*follow-up time'; radiographs of baseline, year 1 and year 2 were used). For each method the standardised mean difference (SMD) for the change in JSW from baseline to year 2 between the treatment strategies was obtained using a non-parametric method. Patient characteristics of the current subpopulation were similar to those of the whole study population. JSN of the hand and wrist according to SHS at 2 years was present in 16 vs. 23% in the MTX+Pred group vs. the MTX+Plac group. The mean yearly progression rates of JSW change of the hands and wrists using JSQ were -0.00mm (95% confidence interval (CI) -0.01; 0.01) for MTX+Pred vs. -0.02mm (95%CI -0.03; -0.01) for MTX+Plac, p=0.045, and using SHS JSN they were 0.19 units (95%CI 0.09; 0.30) vs. 0.30 units (95%CI 0.14; 0.45) for MTX+Pred vs. MTX+Plac, p=0.271. The SMD for the change from
Srinivas, T R; Taber, D J; Su, Z; Zhang, J; Mour, G; Northrup, D; Tripathi, A; Marsden, J E; Moran, W P; Mauldin, P D
2017-03-01
We sought proof of concept of a Big Data Solution incorporating longitudinal structured and unstructured patient-level data from electronic health records (EHR) to predict graft loss (GL) and mortality. For a quality improvement initiative, GL and mortality prediction models were constructed using baseline and follow-up data (0-90 days posttransplant; structured and unstructured for 1-year models; data up to 1 year for 3-year models) on adult solitary kidney transplant recipients transplanted during 2007-2015 as follows: Model 1: United Network for Organ Sharing (UNOS) data; Model 2: UNOS & Transplant Database (Tx Database) data; Model 3: UNOS, Tx Database & EHR comorbidity data; and Model 4: UNOS, Tx Database, EHR data, Posttransplant trajectory data, and unstructured data. A 10% 3-year GL rate was observed among 891 patients (2007-2015). Layering of data sources improved model performance; Model 1: area under the curve (AUC), 0.66; (95% confidence interval [CI]: 0.60, 0.72); Model 2: AUC, 0.68; (95% CI: 0.61-0.74); Model 3: AUC, 0.72; (95% CI: 0.66-077); Model 4: AUC, 0.84, (95 % CI: 0.79-0.89). One-year GL (AUC, 0.87; Model 4) and 3-year mortality (AUC, 0.84; Model 4) models performed similarly. A Big Data approach significantly adds efficacy to GL and mortality prediction models and is EHR deployable to optimize outcomes. © 2016 The American Society of Transplantation and the American Society of Transplant Surgeons.
MRI-guided robotic system for transperineal prostate interventions: proof of principle
International Nuclear Information System (INIS)
Van den Bosch, Michiel R; Moman, Maaike R; Van Vulpen, Marco; Battermann, Jan J; Lagendijk, Jan J W; Moerland, Marinus A; Duiveman, Ed; Van Schelven, Leonard J; De Leeuw, Hendrik
2010-01-01
In this study, we demonstrate the proof of principle of the University Medical Center Utrecht (UMCU) robot dedicated to magnetic resonance imaging (MRI)-guided interventions in patients. The UMCU robot consists of polymers and non-ferromagnetic materials. For transperineal prostate interventions, it can be placed between the patient's legs inside a closed bore 1.5T MR scanner. The robot can manually be translated and rotated resulting in five degrees of freedom. It contains a pneumatically driven tapping device to automatically insert a needle stepwise into the prostate using a controller unit outside the scanning room. To define the target positions and to verify the needle insertion point and the needle trajectory, a high-resolution 3D balanced steady state free precession (bSSFP) scan that provides a T2/T1-weighted contrast is acquired. During the needle insertion fast 2D bSSFP images are generated to track the needle on-line. When the target position is reached, the radiation oncologist manually places a fiducial gold marker (small seed) at this location. In total two needle trajectories are used to place all markers. Afterwards, a high-resolution 3D bSSFP scan is acquired to visualize the fiducial gold markers. Four fiducial gold markers were placed transperineally into the prostate of a patient with a clinical stage T3 prostate cancer. In the generated scans, it was possible to discriminate the patient's anatomy, the needle and the markers. All markers were delivered inside the prostate. The procedure time was 1.5 h. This study proves that MRI-guided needle placement and seed delivery in the prostate with the UMCU robot are feasible. (note)
MRI-guided robotic system for transperineal prostate interventions: proof of principle
Energy Technology Data Exchange (ETDEWEB)
Van den Bosch, Michiel R; Moman, Maaike R; Van Vulpen, Marco; Battermann, Jan J; Lagendijk, Jan J W; Moerland, Marinus A [Department of Radiotherapy, University Medical Center Utrecht, Heidelberglaan 100, 3584 CX, Utrecht (Netherlands); Duiveman, Ed; Van Schelven, Leonard J [Medical Technology and Clinical Physics, University Medical Center Utrecht, Heidelberglaan 100, 3584 CX, Utrecht (Netherlands); De Leeuw, Hendrik [Image Sciences Institute, University Medical Center Utrecht, Heidelberglaan 100, 3584 CX, Utrecht (Netherlands)], E-mail: M.R.vandenBosch@umcutrecht.nl
2010-03-07
In this study, we demonstrate the proof of principle of the University Medical Center Utrecht (UMCU) robot dedicated to magnetic resonance imaging (MRI)-guided interventions in patients. The UMCU robot consists of polymers and non-ferromagnetic materials. For transperineal prostate interventions, it can be placed between the patient's legs inside a closed bore 1.5T MR scanner. The robot can manually be translated and rotated resulting in five degrees of freedom. It contains a pneumatically driven tapping device to automatically insert a needle stepwise into the prostate using a controller unit outside the scanning room. To define the target positions and to verify the needle insertion point and the needle trajectory, a high-resolution 3D balanced steady state free precession (bSSFP) scan that provides a T2/T1-weighted contrast is acquired. During the needle insertion fast 2D bSSFP images are generated to track the needle on-line. When the target position is reached, the radiation oncologist manually places a fiducial gold marker (small seed) at this location. In total two needle trajectories are used to place all markers. Afterwards, a high-resolution 3D bSSFP scan is acquired to visualize the fiducial gold markers. Four fiducial gold markers were placed transperineally into the prostate of a patient with a clinical stage T3 prostate cancer. In the generated scans, it was possible to discriminate the patient's anatomy, the needle and the markers. All markers were delivered inside the prostate. The procedure time was 1.5 h. This study proves that MRI-guided needle placement and seed delivery in the prostate with the UMCU robot are feasible. (note)
Sizewell 'B' power station public inquiry: CEGB proof of evidence
International Nuclear Information System (INIS)
Healey, T.; Board, S.J.
1982-11-01
The issue of fuel clad ballooning during a postulated large loss of coolant accident is examined. A summary of the evidence which shows that such an event in the proposed Sizewell B nuclear power plant would not lead to violation of the fuel limits laid down in the United States NRC Code of Federal Regulations, 10 CFR 50, Appendix K. The present status of the computer codes BART and TAPSWEL and the validation evidence to demonstrate their adequacy is outlined. (U.K.)
Bergwall, Andreas; Hemmi, Kirsti
2017-01-01
Students' difficulties with proof, scholars' calls for proof to be a consistent part of K-12 mathematics, and the extensive use of textbooks in mathematics classrooms motivate investigations on how proof-related items are addressed in mathematics textbooks. We contribute to textbook research by focusing on opportunities to learn proof-related…
Stable crack growth during over stressing or proof testing of pressure vessels
International Nuclear Information System (INIS)
Njo, D.H.
1985-07-01
In an earlier study several years ago an attempt has been made by a study group in Switzerland formed by representatives of utilities, manufacturers, inspection agency and the licensing authority to evaluate systematically the advantages and disadvantages of a proof test for a reactor pressure vessel (RPV) taking into account the different aspects involved. In this study, the present day practice in the requirements regarding proof testing in several countries with nuclear power plants were assessed. Using the method of fracture mechanics, taking into account the proof test conditions and material behaviour at hand, qualified quantitative statements were then sought for. One of the important findings of the study was that a sufficiently accurate determination of stable crack growth (SCG) during proof testing is a necessary precondition for a qualified quantitative statement. At that time this requirement could not be met. The aim of the present exercise of collecting available information on SCG was twofold: to get an overview of the present day requirements on pre-service and in-service proof testing of reactor pressure vessels in different countries with NPPs; to collect data on stable crack growth due to over stressing during proof tests to be used in the quantitative assessment, using fracture mechanics methods, and the potential benefit, if any, of proof tests. In the framework of the present study, the originally stipulated aims could not be achieved. It turned out to be a very complex and difficult problem, where various important aspects are little known and could not be assessed without further comprehensive theoretical and experimental investigations
Dynamic PROOF clusters with PoD: architecture and user experience
Manafov, Anar
2011-12-01
PROOF on Demand (PoD) is a tool-set, which sets up a PROOF cluster on any resource management system. PoD is a user oriented product with an easy to use GUI and a command-line interface. It is fully automated. No administrative privileges or special knowledge is required to use it. PoD utilizes a plug-in system, to use different job submission front-ends. The current PoD distribution is shipped with LSF, Torque (PBS), Grid Engine, Condor, gLite, and SSH plug-ins. The product is to be extended. We therefore plan to implement a plug-in for AliEn Grid as well. Recently developed algorithms made it possible to efficiently maintain two types of connections: packet-forwarding and native PROOF connections. This helps to properly handle most kinds of workers, with and without firewalls. PoD maintains the PROOF environment automatically and, for example, prevents resource misusage in case when workers idle for too long. As PoD matures as a product and provides more plug-ins, it's used as a standard for setting up dynamic PROOF clusters in many different institutions. The GSI Analysis Facility (GSIAF) is in production since 2007. The static PROOF cluster has been phased out end of 2009. GSIAF is now completely based on PoD. Users create private dynamic PROOF clusters on the general purpose batch farm. This provides an easier resource sharing between interactive local batch and Grid usage. The main user communities are FAIR and ALICE.
International Nuclear Information System (INIS)
Nyandoto, Paul; Muhonen, Timo; Hakala, Tapani; Dombrowski, Mitchell P.; Joensuu, Heikki
2001-01-01
Purpose: To examine the frequency of adverse events related to radiation therapy that lead to financial compensation in a judicial system that is not based on litigation in court but on statutory insurance where proof of medical negligence is not required for obtaining compensation. Methods and Materials: In Finland, an injured patient does not sue through the courts, but submits an insurance claim to the Patient Insurance Association. Proof of medical negligence is not required for obtaining compensation. We reviewed all filed claims associated with radiotherapy presented to the Patient Insurance Association from May 1987 to January 1999. During this time period, 1,732,000 patient visits to radiation therapy units were made, and the estimated number of radiotherapy treatments was 86,600. The data collected included descriptions of the adverse events, examination of the radiation therapy procedures followed, assessment of the causal relation of the event to radiotherapy by the therapists involved and by independent reviewers, and the sums used for compensation. Results: Only 102 patients (about 0.1%) had filed a claim for financial compensation, and in 18 (0.02%) cases the claim led to compensation. The mean national annual expenditure used for compensation was $35,200, and the sums paid in single cases ranged from $310 to $287,430 (median, $1,970). The expenditure used for compensating adverse radiation events was about $4 per treated patient, which is about 0.3% of all radiation therapy costs. Conclusions: The frequency of radiation therapy injuries that are financially compensated can remain low in an insurance-based judicial system where no litigation or attorneys are involved
Department of Homeland Security — Generating Units are any combination of physically connected generators, reactors, boilers, combustion turbines, and other prime movers operated together to produce...
2010-01-01
... INDUSTRIES § 23.10 Misuse of “corrosion proof,” “noncorrosive,” “corrosion resistant,” “rust proof,” “rust resistant,” etc. (a) It is unfair or deceptive to: (1) Use the terms “corrosion proof,” “noncorrosive... the product will be immune from rust and other forms of corrosion during the life expectancy of the...
Equihash: Asymmetric Proof-of-Work Based on the Generalized Birthday Problem
Directory of Open Access Journals (Sweden)
Alex Biryukov
2017-04-01
Full Text Available Proof-of-work is a central concept in modern cryptocurrencies and denial-ofservice protection tools, but the requirement for fast verification so far has made it an easy prey for GPU-, ASIC-, and botnet-equipped users. The attempts to rely on memory-intensive computations in order to remedy the disparity between architectures have resulted in slow or broken schemes. In this paper we solve this open problem and show how to construct an asymmetric proof-of-work (PoW based on a computationally-hard problem, which requires a great deal of memory to generate a proof (called a ”memory-hardness” feature but is instant to verify. Our primary proposal, Equihash, is a PoW based on the generalized birthday problem and enhanced Wagner’s algorithm for it. We introduce the new technique of algorithm binding to prevent cost amortization and demonstrate that possible parallel implementations are constrained by memory bandwidth. Our scheme has tunable and steep time-space tradeoffs, which impose large computational penalties if less memory is used. Our solution is practical and ready to deploy: a reference implementation of a proof-of-work requiring 700 MB of RAM runs in 15 seconds on a 2.1 GHz CPU, increases the computations by a factor of 1000 if memory is halved, and presents a proof of just 120 bytes long.
PROOF on the Cloud for ALICE using PoD and OpenNebula
International Nuclear Information System (INIS)
Berzano, D; Bagnasco, S; Brunetti, R; Lusso, S
2012-01-01
In order to optimize the use and management of computing centres, their conversion to cloud facilities is becoming increasingly popular. In a medium to large cloud facility, many different virtual clusters may concur for the same resources: unused resources can be freed either by turning off idle virtual machines, or by lowering resources assigned to a virtual machine at runtime. PROOF, a ROOT-based parallel and interactive analysis framework, is officially endorsed in the computing model of the ALICE experiment as complementary to the Grid, and it has become very popular over the last three years. The locality of PROOF-based analysis facilities forces system administrators to scavenge resources, yet the chaotic nature of user analysis tasks deems them unstable and inconstantly used, making PROOF a typical use-case for HPC cloud computing. Currently, PoD dynamically and easily provides a PROOF-enabled cluster by submitting agents to a job scheduler. Unfortunately, a Tier-2 does not comfortably share the same queue between interactive and batch jobs, due to the very large average time to completion of the latter: an elastic cloud approach would enable interactive virtual machines to temporarily subtract resources to the batch ones, without a noticeable impact on them. In this work we describe our setup of a dynamic PROOF-based cloud analysis facility based on PoD and OpenNebula, orchestrated by a simple and lightweight control daemon that makes virtualization transparent for the user.
International Nuclear Information System (INIS)
Yu, Xiao-Dong; Tong, D M; Guo, Yan-Qing
2015-01-01
Quantum contextuality is one of the fundamental notions in quantum mechanics. Proofs of the Kochen–Specker theorem and noncontextuality inequalities are two means for revealing the contextuality phenomenon in quantum mechanics. It has been found that some proofs of the Kochen-Specker theorem, such as those based on rays, can be converted to a state-independent noncontextuality inequality, but it remains open whether this is true in general, i.e., whether any proof of the Kochen-Specker theorem can always be converted to a noncontextuality inequality. In this paper, we address this issue. We prove that all kinds of proofs of the Kochen-Specker theorem, based on rays or any other observables, can always be converted to state-independent noncontextuality inequalities. Besides, our constructive proof also provides a general approach for deriving a state-independent noncontextuality inequality from a proof of the KS theorem. (paper)
Two new proofs of the test particle superposition principle of plasma kinetic theory
International Nuclear Information System (INIS)
Krommes, J.A.
1975-12-01
The test particle superposition principle of plasma kinetic theory is discussed in relation to the recent theory of two-time fluctuations in plasma given by Williams and Oberman. Both a new deductive and a new inductive proof of the principle are presented. The fundamental observation is that two-time expectations of one-body operators are determined completely in terms of the (x,v) phase space density autocorrelation, which to lowest order in the discreteness parameter obeys the linearized Vlasov equation with singular initial condition. For the deductive proof, this equation is solved formally using time-ordered operators, and the solution then rearranged into the superposition principle. The inductive proof is simpler than Rostoker's, although similar in some ways; it differs in that first order equations for pair correlation functions need not be invoked. It is pointed out that the superposition principle is also applicable to the short-time theory of neutral fluids
Yet another proof of Hawking and Ellis's Lemma 8.5.5
International Nuclear Information System (INIS)
Krasnikov, S
2014-01-01
The fact that the null generators of a future Cauchy horizon are past-complete was first proved by Hawking and Ellis (1973 The Large Scale Structure of Spacetime (Cambridge: Cambridge University Press)). Then, Budzyński, Kondracki and Królak outlined a proof free from the error found in the original one (2000 New properties of Cauchy and event horizons arXiv:gr-qc/0011033). Now, Minguzzi has published his version of the proof (2014 J. Math. Phys. 55 082503), patching a previously unnoticed hole in the preceding two. I am not aware of any flaws in that last proof, but it is quite difficult. In this note, I present a simpler one. (note)
Wireless Sensors Grouping Proofs for Medical Care and Ambient Assisted-Living Deployment.
Trček, Denis
2016-01-02
Internet of Things (IoT) devices are rapidly penetrating e-health and assisted living domains, and an increasing proportion among them goes on the account of computationally-weak devices, where security and privacy provisioning alone are demanding tasks, not to mention grouping proofs. This paper, therefore, gives an extensive analysis of such proofs and states lessons learnt to avoid possible pitfalls in future designs. It sticks with prudent engineering techniques in this field and deploys in a novel way the so called non-deterministic principle to provide not only grouping proofs, but (among other) also privacy. The developed solution is analyzed by means of a tangible metric and it is shown to be lightweight, and formally for security.
Wireless Sensors Grouping Proofs for Medical Care and Ambient Assisted-Living Deployment
Directory of Open Access Journals (Sweden)
Denis Trček
2016-01-01
Full Text Available Internet of Things (IoT devices are rapidly penetrating e-health and assisted living domains, and an increasing proportion among them goes on the account of computationally-weak devices, where security and privacy provisioning alone are demanding tasks, not to mention grouping proofs. This paper, therefore, gives an extensive analysis of such proofs and states lessons learnt to avoid possible pitfalls in future designs. It sticks with prudent engineering techniques in this field and deploys in a novel way the so called non-deterministic principle to provide not only grouping proofs, but (among other also privacy. The developed solution is analyzed by means of a tangible metric and it is shown to be lightweight, and formally for security.
The Proof of the Heir Quality in the New Civil Code
Directory of Open Access Journals (Sweden)
Ilioara Genoiu
2011-05-01
Full Text Available Similar to the Civil Code in force, Law no. 287/2009 regarding the Civil Code, published in theOfficial Gazette, but whose date of entry in force has not been established yet, regulates, as a main proof ofthe heir quality, the heir certificate. Like de lege lata the proof of the heir quality may be realised, integratedin the petition of heredity, and by other means of evidence. In the present paper we aim to analyze theproblem of the heir quality’s proof, under all its aspects in the light of the Law no. 287/2009 and to reveal thenovelties brought by this governmental decree in the matter subjected to our analysis and to appreciate uponits correctness. We consider our scientific approach, through which we intend to contribute to the knowledgeof the new Civil Code dispositions on successional matter, until its entry in force, is current and useful.
A note on the use of the temperature–entropy diagram in the proof of the second carnot theorem
International Nuclear Information System (INIS)
Morad, M R; Momeni, F
2014-01-01
A general graphical proof for the second Carnot principle is presented using the temperature–entropy diagram. This proof is simple and is independent of the proof of the first Carnot principle. The Carnot relation for thermal efficiency is also obtained simultaneously for all totally reversible heat engines between the same two reservoirs. The concept of reversibility in heat transfers and the role of environments in heat engine cycles will be further clarified and could be better understood using the proof presented here, which will be useful both for teaching and performing research in thermodynamics. (letters and comments)
Aichatou, Barry; Seck, Cheikh; Baal Anne, Thierno Souleymane; Deguenovo, Gabrielle Clémentine; Ntabona, Alexis; Simmons, Ruth
2016-12-23
April 2014) and a 6-month intervention period (November 2014 through April 2015), from about 8,000 units to nearly 12,000 units. In Rufisque, contraceptive provision increased by 30%, from more than 17,000 units to more than 22,000 units. Couple-years of protection provided in Diamniadio increased by 82% and in Rufisque by 56%. The experience in these 2 districts in Senegal suggests that it is feasible for districts to play a leadership role in implementing family planning services and mobilizing some of their own resources and that international projects can facilitate capacity building and sustainability within public-sector systems. © Aichatou et al.
International Nuclear Information System (INIS)
Kim, Miso; Hoegen, Mathias; Dugundji, John; Wardle, Brian L
2010-01-01
An electromechanically coupled model for a cantilevered piezoelectric energy harvester with a proof mass is presented. Proof masses are essential in microscale devices to move device resonances towards optimal frequency points for harvesting. Such devices with proof masses have not been rigorously modeled previously; instead, lumped mass or concentrated point masses at arbitrary points on the beam have been used. Thus, this work focuses on the exact vibration analysis of cantilevered energy harvester devices including a tip proof mass. The model is based not only on a detailed modal analysis, but also on a thorough investigation of damping ratios that can significantly affect device performance. A model with multiple degrees of freedom is developed and then reduced to a single-mode model, yielding convenient closed-form normalized predictions of device performance. In order to verify the analytical model, experimental tests are undertaken on a macroscale, symmetric, bimorph, piezoelectric energy harvester with proof masses of different geometries. The model accurately captures all aspects of the measured response, including the location of peak-power operating points at resonance and anti-resonance, and trends such as the dependence of the maximal power harvested on the frequency. It is observed that even a small change in proof mass geometry results in a substantial change of device performance due not only to the frequency shift, but also to the effect on the strain distribution along the device length. Future work will include the optimal design of devices for various applications, and quantification of the importance of nonlinearities (structural and piezoelectric coupling) for device performance
Testing of motor unit synchronization model for localized muscle fatigue.
Naik, Ganesh R; Kumar, Dinesh K; Yadav, Vivek; Wheeler, Katherine; Arjunan, Sridhar
2009-01-01
Spectral compression of surface electromyogram (sEMG) is associated with onset of localized muscle fatigue. The spectral compression has been explained based on motor unit synchronization theory. According to this theory, motor units are pseudo randomly excited during muscle contraction, and with the onset of muscle fatigue the recruitment pattern changes such that motor unit firings become more synchronized. While this is widely accepted, there is little experimental proof of this phenomenon. This paper has used source dependence measures developed in research related to independent component analysis (ICA) to test this theory.
An arithmetic transference proof of a relative Szemer\\'edi theorem
Zhao, Yufei
2013-01-01
Recently Conlon, Fox, and the author gave a new proof of a relative Szemer\\'edi theorem, which was the main novel ingredient in the proof of the celebrated Green-Tao theorem that the primes contain arbitrarily long arithmetic progressions. Roughly speaking, a relative Szemer\\'edi theorem says that if S is a set of integers satisfying certain conditions, and A is a subset of S with positive relative density, then A contains long arithmetic progressions, and our recent results show that S only ...
Burden of proof for the illegal immissions as prerequisite of in rem removal claim
Directory of Open Access Journals (Sweden)
Knežević Marko
2013-01-01
Full Text Available The paper examines the question of the burden of proof for the facts that imply illegal immission as prerequisite of in rem removal claim. The approach is different to the standard doctrine and it is in according to the general rule of the burden of proof in litigation - so called modified norm theory. In the centre of the attention is distinction of so called constitutive and impeditive facts, and criteria for distinction. The implementation of modified norm theory regarding issue of this paper shows that primal distinguishing point is not suitable, so the other modification methods should be applied, in order to get the answer.
Efficient, fair, and strategy-proof (re)allocation under network constraints
DEFF Research Database (Denmark)
Szwagrzak, Karol
2017-01-01
A resource available in different types is to be distributed or redistributed among agents differing in their ability to consume these types. Preferences over consumption levels are not observable but known to be single-peaked. We identify the only strategy-proof and efficient allocation rule...... to a new class of group strategy-proof rules. Our analysis provides a unified treatment of the applications in Bochet et al. (Theor Econ 7:395–423, 2012, J Econ Theory 148:535–562, 2013)....
A device for heat-proofing the closing slab of a fast neutron nuclear reactor
International Nuclear Information System (INIS)
Lemercier, Guy.
1973-01-01
A device proofing the closing-slab comprising a metal-shoe against which is applied said device, the latter being constituted by a plurality of panels, each of which is formed by a padding of superimposed metal-cloths arranged in parallel relationship to the slab to be heat-proofed. Said device is characterized in that each panel is contained in a casing applied against the slab, constituted by two metal half-boxes of parallelepipedic shape embedded into each other. This can be applied to high-power reactors for protecting the slab against the aerosols of the coolant liquid-metal [fr
National Research Council Canada - National Science Library
McGinniss, Mike
2003-01-01
.... This decision combines two crucial initiatives: first, transforming the Army from an individual soldier replacement system to a unit manning system that enhances cohesion and keeps trained soldiers, leaders, and commanders together longer, thereby...
1960-01-01
Original detector unit of the Instituut voor Kernfysisch Onderzoek (IKO) BOL project. This detector unit shows that silicon detectors for nuclear physics particle detection were already developed and in use in the 1960's in Amsterdam. Also the idea of putting 'strips' onto the silicon for high spatial resolution of a particle's impact on the detector were implemented in the BOL project which used 64 of these detector units. The IKO BOL project with its silicon particle detectors was designed, built and operated from 1965 to roughly 1977. Detector Unit of the BOL project: These detectors, notably the ‘checkerboard detector’, were developed during the years 1964-1968 in Amsterdam, The Netherlands, by the Natuurkundig Laboratorium of the N.V. Philips Gloeilampen Fabrieken. This was done in close collaboration with the Instituut voor Kernfysisch Onderzoek (IKO) where the read-out electronics for their use in the BOL Project was developed and produced.
Energy Technology Data Exchange (ETDEWEB)
Umanchik, N P; Demin, A V; Khrustalev, N N; Linnik, G N; Lovchev, S V; Rozin, M M; Sidorov, R V; Sokolov, S I; Tsaregradskiy, Yu P
1981-01-01
A drilling unit is proposed which includes a hydraulic lifter, hydraulic multiple-cylinder pump with valve distribution and sectional drilling pump with separators of the working and flushing fluid. In order to reduce metal consumption and the overall dimensions of the drilling unit, the working cavity of each cylinder of the hydraulic multiple-cylinder pump is equipped with suction and injection valves and is hydraulically connected to the working cavity by one of the sections of the drilling pump.
Fatigue design of a mechanically biocompatible lattice for a proof-of-concept femoral stem.
Arabnejad Khanoki, Sajad; Pasini, Damiano
2013-06-01
A methodology is proposed to design a spatially periodic microarchitectured material for a two-dimensional femoral implant under walking gait conditions. The material is composed of a graded lattice with controlled property distribution that minimizes concurrently bone resorption and interface failure. The periodic microstructure of the material is designed for fatigue fracture caused by cyclic loadings on the hip joint as a result of walking. The bulk material of the lattice is Ti6AL4V and its microstructure is assumed free of defects. The Soderberg diagram is used for the fatigue design under multiaxial loadings. Two cell topologies, square and Kagome, are chosen to obtain optimized property gradients for a two-dimensional implant. Asymptotic homogenization (AH) theory is used to address the multiscale mechanics of the implant as well as to capture the stress and strain distribution at both the macro and the microscale. The microstress distribution found with AH is also compared with that obtained from a detailed finite element analysis. For the maximum value of the von Mises stress, we observe a deviation of 18.6% in unit cells close to the implant boundary, where the AH assumption of spatial periodicity of the fluctuating fields ceases to hold. In the second part of the paper, the metrics of bone resorption and interface shear stress are used to benchmark the graded cellular implant with existing prostheses made of fully dense titanium implant. The results show that the amount of initial postoperative bone loss for square and Kagome lattice implants decreases, respectively, by 53.8% and 58%. In addition, the maximum shear interface failure at the distal end is significantly reduced by about 79%. A set of proof-of-concepts of planar implants have been fabricated via Electron Beam Melting (EBM) to demonstrate the manufacturability of Ti6AL4V into graded lattices with alternative cell size. Optical microscopy has been used to measure the morphological parameters
Cryogenic Propellant Storage and Transfer Engineering Development Unit Hydrogen Tank
Werkheiser, Arthur
2015-01-01
The Cryogenic Propellant Storage and Transfer (CPST) project has been a long-running program in the Space Technology Mission Directorate to enhance the knowledge and technology related to handling cryogenic propellants, specifically liquid hydrogen. This particular effort, the CPST engineering development unit (EDU), was a proof of manufacturability effort in support of a flight article. The EDU was built to find and overcome issues related to manufacturability and collect data to anchor the thermal models for use on the flight design.
A Proof-Irrelevant Model of Martin-Löf's Logical Framework
DEFF Research Database (Denmark)
Fridlender, Daniel
2003-01-01
objects with different degree of relevance: those that denote proofs are irrelevant whereas those that denote types are not. In fact a whole hierarchy of relevance exists. Another difference is the higher level of detail in the formulation of the formal theory, such as the explicit manipulation...
Paradoxes of proof and punishment: Psychological pitfalls in judicial decision making.
de Keijser, J.W.; van Koppen, P.J.
2007-01-01
Purpose. This study focuses on two psychological mechanisms that may inadvertently affect judges' decisions on proof of guilt and on punishment. It involves mechanisms that are clearly in conflict with formal judicial doctrine. One hypothesis, the conviction paradox, asserts that, faced with very
Automated joint space width quantification of hand and wrist joints : a proof of concept study
Huo, Yinghe; Veldhuizen, Renske D; van der Heijde, Desiree M; Besselink, Nick J; Jacobs, Johannes W G; van Laar, Jacob M; Viergever, Max A; Vincken, Koen L; Lafeber, Floris P; De Hair, Maria JH
2016-01-01
Objective. To compare as proof of concept the sensitivity to change of automated quantification of radiographic wrist and hand joint space width (JSW) with scoring JSW according to the Sharp/van der Heijde scoring method (SHS) in two strategy groups of a treat-to-target and tight-control early
Disaster-Proofing Senior Leadership: Preventing Technological Failure in Future Nano-War
2009-02-01
then goes on to provide concrete ways to steer around each of the decision-making potholes. Chapter six gives recommendations for disaster-proofing...like China and Russia have become more translucent as they open up their borders to new trade opportunities brought forth by globalization. If former
Lantsoght, E.O.L.
2017-01-01
For existing bridges with large uncertainties, analytical methods have limitations. Therefore, to reduce these uncertainties, field testing of a bridge can be used. A type of such a field test is a proof load test, in which a load equivalent to the factored live load is applied. If the bridge can
Simple proofs of nowhere-differentiability for Weierstrass' function and cases of slow growth
DEFF Research Database (Denmark)
Johnsen, Jon
2010-01-01
Using a few basics from integration theory, a short proof of nowhere-differentiability of Weierstrass functions is given. Restated in terms of the Fourier transformation, the method consists in principle of a second microlocalisation, which is used to derive two general results on existence...
A heat kernel proof of the index theorem for deformation quantization
Karabegov, Alexander
2017-11-01
We give a heat kernel proof of the algebraic index theorem for deformation quantization with separation of variables on a pseudo-Kähler manifold. We use normalizations of the canonical trace density of a star product and of the characteristic classes involved in the index formula for which this formula contains no extra constant factors.
A heat kernel proof of the index theorem for deformation quantization
Karabegov, Alexander
2017-01-01
We give a heat kernel proof of the algebraic index theorem for deformation quantization with separation of variables on a pseudo-Kahler manifold. We use normalizations of the canonical trace density of a star product and of the characteristic classes involved in the index formula for which this formula contains no extra constant factors.
Tests of PROOF-on-Demand with ATLAS Prodsys2 and first experience with HTTP federation
Di Nardo, Roberto; Vilucchi, Elisabetta; Antonelli, Mario
2015-01-01
During the LHC Run-1, Grid resources in ATLAS have been managed by the PanDA and DQ2 systems. In order to meet the needs for the LHC Run-2, Prodsys2 and Rucio are used as the new ATLAS Workload and Data Management systems. The data are stored under various formats in ROOT files and end-user physicists have the choice to use either the ATHENA framework or directly ROOT. Within the ROOT data analysis framework it is possible to perform analysis of huge sets of ROOT files in parallel with PROOF on clusters of computers (usually organised in analysis facilities) or multi-core machines. In addition, PROOF-on-Demand (PoD) can be used to enable PROOF on top of an existing resource management system. In this work, we present the first performances obtained enabling PROOF-based analysis at CERN and in some of the Italian ATLAS Tier-2 sites within the new ATLAS workload system. Benchmark tests of data access with the httpd protocol, using also the httpd redirector, will be shown. We also present results on the startup ...
Systems for Teaching Complex Texts: A Proof-of-Concept Investigation
Fisher, Douglas; Frey, Nancy
2016-01-01
In this article we investigate the systems that need to be in place for students to learn from increasingly complex texts. Our concept, drawn from past research, includes clear learning targets, teacher modeling, collaborative conversations, close reading, small group reading, and wide reading. Using a "proof of concept" model, we follow…
A Comparison of Single-Cycle Versus Multiple-Cycle Proof Testing Strategies
McClung, R. C.; Chell, G. G.; Millwater, H. R.; Russell, D. A.; Millwater, H. R.
1999-01-01
Single-cycle and multiple-cycle proof testing (SCPT and MCPT) strategies for reusable aerospace propulsion system components are critically evaluated and compared from a rigorous elastic-plastic fracture mechanics perspective. Earlier MCPT studies are briefly reviewed. New J-integral estimation methods for semielliptical surface cracks and cracks at notches are derived and validated. Engineering methods are developed to characterize crack growth rates during elastic-plastic fatigue crack growth (FCG) and the tear-fatigue interaction near instability. Surface crack growth experiments are conducted with Inconel 718 to characterize tearing resistance, FCG under small-scale yielding and elastic-plastic conditions, and crack growth during simulated MCPT. Fractography and acoustic emission studies provide additional insight. The relative merits of SCPT and MCPT are directly compared using a probabilistic analysis linked with an elastic-plastic crack growth computer code. The conditional probability of failure in service is computed for a population of components that have survived a previous proof test, based on an assumed distribution of initial crack depths. Parameter studies investigate the influence of proof factor, tearing resistance, crack shape, initial crack depth distribution, and notches on the MCPT versus SCPT comparison. The parameter studies provide a rational basis to formulate conclusions about the relative advantages and disadvantages of SCPT and MCPT. Practical engineering guidelines are proposed to help select the optimum proof test protocol in a given application.
Study of Solid State Drives performance in PROOF distributed analysis system
Panitkin, S. Y.; Ernst, M.; Petkus, R.; Rind, O.; Wenaus, T.
2010-04-01
Solid State Drives (SSD) is a promising storage technology for High Energy Physics parallel analysis farms. Its combination of low random access time and relatively high read speed is very well suited for situations where multiple jobs concurrently access data located on the same drive. It also has lower energy consumption and higher vibration tolerance than Hard Disk Drive (HDD) which makes it an attractive choice in many applications raging from personal laptops to large analysis farms. The Parallel ROOT Facility - PROOF is a distributed analysis system which allows to exploit inherent event level parallelism of high energy physics data. PROOF is especially efficient together with distributed local storage systems like Xrootd, when data are distributed over computing nodes. In such an architecture the local disk subsystem I/O performance becomes a critical factor, especially when computing nodes use multi-core CPUs. We will discuss our experience with SSDs in PROOF environment. We will compare performance of HDD with SSD in I/O intensive analysis scenarios. In particular we will discuss PROOF system performance scaling with a number of simultaneously running analysis jobs.
Convex Bodies With Minimal Volume Product in R^2 --- A New Proof
Lin, Youjiang
2010-01-01
In this paper, a new proof of the following result is given: The product of the volumes of an origin symmetric convex bodies $K$ in R^2 and of its polar body is minimal if and only if $K$ is a parallelogram.
The Body As Proof: Franklin D. Roosevelt's Preparations for the 1932 Presidential Campaign.
Kiewe, Amos
1999-01-01
Discusses how prior to the 1932 presidential campaign, Governor Roosevelt sought to dispel suspicion that he was physically unfit to become President; and though he never hid his disability, he minimized his appearance as a disabled person. Describes how Roosevelt arranged for the publication of a medical examination as proof that he was…
Proof-testing strategies induced by dangerous detected failures of safety-instrumented systems
International Nuclear Information System (INIS)
Liu, Yiliu; Rausand, Marvin
2016-01-01
Some dangerous failures of safety-instrumented systems (SISs) are detected almost immediately by diagnostic self-testing as dangerous detected (DD) failures, whereas other dangerous failures can only be detected by proof-testing, and are therefore called dangerous undetected (DU) failures. Some items may have a DU- and a DD-failure at the same time. After the repair of a DD-failure is completed, the maintenance team has two options: to perform an insert proof test for DU-failure or not. If an insert proof test is performed, it is necessary to decide whether the next scheduled proof test should be postponed or performed at the scheduled time. This paper analyzes the effects of different testing strategies on the safety performance of a single channel of a SIS. The safety performance is analyzed by Petri nets and by approximation formulas and the results obtained by the two approaches are compared. It is shown that insert testing improves the safety performance of the channel, but the feasibility and cost of the strategy may be a hindrance to recommend insert testing. - Highlights: • Identify the tests induced by detected failures. • Model the testing strategies following DD-failures. • Propose analytical formulas for effects of strategies. • Simulate and verify the proposed models.
2009-05-18
This document describes the objectives and the approach to the testing of the VII Proof of Concept system. A summary of the test results and findings for both the major system functions and the applications designed for the system, are presented alon...
The elementary theory of groups a guide through the proofs of the Tarski conjectures
Fine, Benjamin; Myasnikov, Alexei; Rosenberger, Gerhard; Spellman, Dennis
2014-01-01
After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela. This book is an examination of the material on the general elementary theory of groups that is necessary to begin to understand the proofs.
PoD: dynamically create and use remote PROOF clusters. A thin client concept.
CERN. Geneva
2012-01-01
PoD’s newly developed “pod-remote” command made it possible for users to utilize a thin client concept. In order to create dynamic PROOF clusters, users are now able to select a remote computer, even behind a firewall, to control a PoD server on...