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Abstract Calculus


Abstract Calculus
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Formal Analysis By Abstract Interpretation


Formal Analysis By Abstract Interpretation
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Author : Benjamin Aziz
language : en
Publisher: Springer Nature
Release Date : 2021-12-13

Formal Analysis By Abstract Interpretation written by Benjamin Aziz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-13 with Mathematics categories.


The book provides a gentle introduction and definition of the denotational-based abstract interpretation method. The book demonstrates how the above method of formal analysis can be used, not only to address the security of systems, but other more general and interesting properties related to the testing, mutating and semantic ambiguity resolution of protocols. The book presents three case studies, all related to current complex protocols and standards used in industry, particularly in the context of IoT and Industry 4.0.



Abstract Computing Machines


Abstract Computing Machines
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Author : Werner Kluge
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-02-18

Abstract Computing Machines written by Werner Kluge and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-18 with Computers categories.


The book emphasizes the design of full-fledged, fully normalizing lambda calculus machinery, as opposed to the just weakly normalizing machines.



Abstract Fractional Monotone Approximation Theory And Applications


Abstract Fractional Monotone Approximation Theory And Applications
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Author : George A. Anastassiou
language : en
Publisher: Springer Nature
Release Date : 2022-03-11

Abstract Fractional Monotone Approximation Theory And Applications written by George A. Anastassiou and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-11 with Technology & Engineering categories.


This book employs an abstract kernel fractional calculus with applications to Prabhakar and non-singular kernel fractional calculi. The results are univariate and bivariate. In the univariate case, abstract fractional monotone approximation by polynomials and splines is presented. In the bivariate case, the abstract fractional monotone constrained approximation by bivariate pseudo-polynomials and polynomials is given. This book’s results are expected to find applications in many areas of pure and applied mathematics, especially in fractional approximation and fractional differential equations. Other interesting applications are applied in sciences like geophysics, physics, chemistry, economics, and engineering. This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines.



Advanced Calculus Revised Edition


Advanced Calculus Revised Edition
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26

Advanced Calculus Revised Edition written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.


An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.



Verification Model Checking And Abstract Interpretation


Verification Model Checking And Abstract Interpretation
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Author : Radhia Cousot
language : en
Publisher: Springer
Release Date : 2005-02-04

Verification Model Checking And Abstract Interpretation written by Radhia Cousot and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-04 with Computers categories.


The book constitutes the refereed proceedings of the 6th International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2005, held in Paris, France in January 2005. The 27 revised full papers presented together with an invited paper were carefully reviewed and selected from 92 submissions. The papers are organized in topical sections on numerical abstraction, verification, heap and shape analysis, abstract model checking, model checking, applied abstract interpretation, and bounded model checking.



Verification Model Checking And Abstract Interpretation


Verification Model Checking And Abstract Interpretation
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Author : Rayna Dimitrova
language : en
Publisher: Springer Nature
Release Date : 2023-12-29

Verification Model Checking And Abstract Interpretation written by Rayna Dimitrova and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-29 with Computers categories.


The two-volume set LNCS 14499 and 14500 constitutes the proceedings of the 25th International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2024, which took place in London, Ontario, Canada, in January 2024. The 30 full papers presented in the proceedings were carefully reviewed and selected from 74 submissions. They were organized in topical sections as follows:Part I: Abstract interpretation; infinite-state systems; model checking and synthesis; SAT, SMT, and automated reasoning; Part II: Concurrency; neural networks; probabilistic and quantum programs; program and system verification; runtime verification; security and privacy.



Verification Model Checking And Abstract Interpretation


Verification Model Checking And Abstract Interpretation
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Author : Agostino Cortesi
language : en
Publisher: Springer
Release Date : 2003-07-31

Verification Model Checking And Abstract Interpretation written by Agostino Cortesi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-31 with Computers categories.


This book constitutes the thoroughly refereed post-proceedings of the Third International Workshop on Verification, Model Checking, and Abstract Interpretation, VMCAI 2002, held in Venice, Italy in January 2002. The 22 revised full papers presented were carefully reviewed and selected from 41 submissions. The papers are organized in topical sections on security and protocols, timed systems and games, static analysis, optimization, types and verification, and temporal logics and systems.



Verification Model Checking And Abstract Interpretation


Verification Model Checking And Abstract Interpretation
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Author : Lenore D. Zuck
language : en
Publisher: Springer
Release Date : 2003-07-01

Verification Model Checking And Abstract Interpretation written by Lenore D. Zuck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Computers categories.


This volume contains the proceedings of the 4th International Conference on Veri?cation, Model Checking, and Abstract Interpretation (VMCAI 2003), held in New York city, January 9–11, 2003. The purpose of VMCAI was to provide a forum for researchers from three communities—Veri?cation, Model Checking, and Abstract Interpretation—that will facilitate interaction, cross-fertilization, and the advance of hybrid methods that combine the three areas. With the g- wingneedforformaltoolstoreasonaboutcomplex,in?nite-state,andembedded systems, such hybrid methods are bound to be of great importance. Topics covered by VMCAI include program veri?cation, static analysis te- niques, model checking, program certi?cation, type systems, abstract domains, debugging techniques, compiler optimization, embedded systems, and formal analysis of security protocols. VMCAI 2003 was the fourth VMCAI meeting. The previous three were held as workshops (Port Je?erson 1997, Pisa 1998, and Venice 2002). It is the success of the last meeting, and the wide response it generated, that made it clear the time had come to make it an annual conference.



Abstract Calculus


Abstract Calculus
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Author : Francisco Javier Garcia-Pacheco
language : en
Publisher: CRC Press
Release Date : 2021-09-08

Abstract Calculus written by Francisco Javier Garcia-Pacheco and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-08 with Mathematics categories.


Abstract Calculus: A Categorical Approach provides an abstract approach to calculus. It is intended for graduate students pursuing PhDs in pure mathematics but junior and senior researchers in basically any field of mathematics and theoretical physics will also be interested. Any calculus text for undergraduate students majoring in engineering, mathematics or physics deals with the classical concepts of limits, continuity, differentiability, optimization, integrability, summability, and approximation. This book covers the exact same topics, but from a categorical perspective, making the classification of topological modules as the main category involved. Features Suitable for PhD candidates and researchers Requires prerequisites in set theory, general topology, and abstract algebra, but is otherwise self-contained Dr. Francisco Javier García-Pacheco is a full professor and Director of the Departmental Section of Mathematics at the College of Engineering of the University of Cádiz, Spain.



Technical Abstract Bulletin


Technical Abstract Bulletin
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Author : Defense Documentation Center (U.S.)
language : en
Publisher:
Release Date : 1964

Technical Abstract Bulletin written by Defense Documentation Center (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Military art and science categories.