Making Presentation Math Computable

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Making Presentation Math Computable

Author : André Greiner-Petter
Publisher : Springer Nature
ISBN 13 : 3658404736
Total Pages : 209 pages
Book Rating : 4.6/5 (584 download)

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Book Synopsis Making Presentation Math Computable by : André Greiner-Petter

Download or read book Making Presentation Math Computable written by André Greiner-Petter and published by Springer Nature. This book was released on 2023-01-24 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Open-Access-book addresses the issue of translating mathematical expressions from LaTeX to the syntax of Computer Algebra Systems (CAS). Over the past decades, especially in the domain of Sciences, Technology, Engineering, and Mathematics (STEM), LaTeX has become the de-facto standard to typeset mathematical formulae in publications. Since scientists are generally required to publish their work, LaTeX has become an integral part of today's publishing workflow. On the other hand, modern research increasingly relies on CAS to simplify, manipulate, compute, and visualize mathematics. However, existing LaTeX import functions in CAS are limited to simple arithmetic expressions and are, therefore, insufficient for most use cases. Consequently, the workflow of experimenting and publishing in the Sciences often includes time-consuming and error-prone manual conversions between presentational LaTeX and computational CAS formats. To address the lack of a reliable and comprehensive translation tool between LaTeX and CAS, this thesis makes the following three contributions. First, it provides an approach to semantically enhance LaTeX expressions with sufficient semantic information for translations into CAS syntaxes. Second, it demonstrates the first context-aware LaTeX to CAS translation framework LaCASt. Third, the thesis provides a novel approach to evaluate the performance for LaTeX to CAS translations on large-scaled datasets with an automatic verification of equations in digital mathematical libraries. This is an open access book.

Mathematical Software – ICMS 2020

Author : Anna Maria Bigatti
Publisher : Springer Nature
ISBN 13 : 3030522008
Total Pages : 491 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Mathematical Software – ICMS 2020 by : Anna Maria Bigatti

Download or read book Mathematical Software – ICMS 2020 written by Anna Maria Bigatti and published by Springer Nature. This book was released on 2020-07-07 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 7th International Conference on Mathematical Software, ICMS 2020, held in Braunschweig, Germany, in July 2020. The 48 papers included in this volume were carefully reviewed and selected from 58 submissions. The program of the 2020 meeting consisted of 20 topical sessions, each of which providing an overview of the challenges, achievements and progress in a environment of mathematical software research, development and use.

Tools and Algorithms for the Construction and Analysis of Systems

Author : Dana Fisman
Publisher : Springer Nature
ISBN 13 : 3030995240
Total Pages : 583 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Tools and Algorithms for the Construction and Analysis of Systems by : Dana Fisman

Download or read book Tools and Algorithms for the Construction and Analysis of Systems written by Dana Fisman and published by Springer Nature. This book was released on 2022-03-29 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book constitutes the proceedings of the 28th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2022, which was held during April 2-7, 2022, in Munich, Germany, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2022. The 46 full papers and 4 short papers presented in this volume were carefully reviewed and selected from 159 submissions. The proceedings also contain 16 tool papers of the affiliated competition SV-Comp and 1 paper consisting of the competition report. TACAS is a forum for researchers, developers, and users interested in rigorously based tools and algorithms for the construction and analysis of systems. The conference aims to bridge the gaps between different communities with this common interest and to support them in their quest to improve the utility, reliability, exibility, and efficiency of tools and algorithms for building computer-controlled systems.

Computable Structure Theory

Author : Antonio Montalbán
Publisher : Cambridge University Press
ISBN 13 : 1108534422
Total Pages : 214 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Computable Structure Theory by : Antonio Montalbán

Download or read book Computable Structure Theory written by Antonio Montalbán and published by Cambridge University Press. This book was released on 2021-06-24 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: In mathematics, we know there are some concepts - objects, constructions, structures, proofs - that are more complex and difficult to describe than others. Computable structure theory quantifies and studies the complexity of mathematical structures, structures such as graphs, groups, and orderings. Written by a contemporary expert in the subject, this is the first full monograph on computable structure theory in 20 years. Aimed at graduate students and researchers in mathematical logic, it brings new results of the author together with many older results that were previously scattered across the literature and presents them all in a coherent framework, making it easier for the reader to learn the main results and techniques in the area for application in their own research. This volume focuses on countable structures whose complexity can be measured within arithmetic; a forthcoming second volume will study structures beyond arithmetic.

Church's Thesis After 70 Years

Author : Adam Olszewski
Publisher : Walter de Gruyter
ISBN 13 : 3110325462
Total Pages : 551 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Church's Thesis After 70 Years by : Adam Olszewski

Download or read book Church's Thesis After 70 Years written by Adam Olszewski and published by Walter de Gruyter. This book was released on 2013-05-02 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Church's Thesis (CT) was first published by Alonzo Church in 1935. CT is a proposition that identifies two notions: an intuitive notion of a effectively computable function defined in natural numbers with the notion of a recursive function. Despite of the many efforts of prominent scientists, Church's Thesis has never been falsified. There exists a vast literature concerning the thesis. The aim of the book is to provide one volume summary of the state of research on Church's Thesis. These include the following: different formulations of CT, CT and intuitionism, CT and intensional mathematics, CT and physics, the epistemic status of CT, CT and philosophy of mind, provability of CT and CT and functional programming.

Future Professional Communication in Astronomy II

Author : Alberto Accomazzi
Publisher : Springer Science & Business Media
ISBN 13 : 1441983694
Total Pages : 163 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Future Professional Communication in Astronomy II by : Alberto Accomazzi

Download or read book Future Professional Communication in Astronomy II written by Alberto Accomazzi and published by Springer Science & Business Media. This book was released on 2011-05-10 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume gathers together the talks presented at the second colloquim on the Future Professional Communication in Astronomy (FPCA II), held at Harvard University (Cambridge, MA) on 13-14 April 2010. This meeting provided a forum for editors, publishers, scientists, librarians and officers of learned societies to discuss the future of the field. The program included talks from leading researchers and practitioners and drew a crowd of approximately 50 attendees from 10 countries. These proceedings contain contributions from invited and contributed talks from leaders in the field, touching on a number of topics. Among them: - The role of disciplinary repositories such as ADS and arXiv in astronomy and the physical sciences; - Current status and future of Open Access Publishing models and their impact on astronomy and astrophysics publishing; - Emerging trends in scientific article publishing: semantic annotations, multimedia content, links to data products hosted by astrophysics archives; - Novel approaches to the evaluation of facilities and projects based on bibliometric indicators; - Impact of Government mandates, Privacy laws, and Intellectual Property Rights on the evolving digital publishing environment in astronomy; - Communicating astronomy to the public: the experience of the International Year of Astronomy 2009.

Mathematics and Computation

Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 884 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Languages, Machines and Logic

Author : Alan P. Parkes
Publisher : Springer Science & Business Media
ISBN 13 : 144710143X
Total Pages : 352 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Introduction to Languages, Machines and Logic by : Alan P. Parkes

Download or read book Introduction to Languages, Machines and Logic written by Alan P. Parkes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A well-written and accessible introduction to the most important features of formal languages and automata theory. It focuses on the key concepts, illustrating potentially intimidating material through diagrams and pictorial representations, and this edition includes new and expanded coverage of topics such as: reduction and simplification of material on Turing machines; complexity and O notation; propositional logic and first order predicate logic. Aimed primarily at computer scientists rather than mathematicians, algorithms and proofs are presented informally through examples, and there are numerous exercises (many with solutions) and an extensive glossary.

Computability and Logic

Author : George S. Boolos
Publisher : Cambridge University Press
ISBN 13 : 0521877520
Total Pages : 365 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Computability and Logic by : George S. Boolos

Download or read book Computability and Logic written by George S. Boolos and published by Cambridge University Press. This book was released on 2007-09-17 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fifth edition of 'Computability and Logic' covers not just the staple topics of an intermediate logic course such as Godel's incompleteness theorems, but also optional topics that include Turing's theory of computability and Ramsey's theorem.

Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles

Author : Denis R Hirschfeldt
Publisher : World Scientific
ISBN 13 : 9814612634
Total Pages : 231 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles by : Denis R Hirschfeldt

Download or read book Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles written by Denis R Hirschfeldt and published by World Scientific. This book was released on 2014-07-18 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has seen a particular surge of activity in the last few years. It provides an overview of some fundamental ideas and techniques, and enough context to make it possible for students with at least a basic knowledge of computability theory and proof theory to appreciate the exciting advances currently happening in the area, and perhaps make contributions of their own. It adopts a case-study approach, using the study of versions of Ramsey's Theorem (for colorings of tuples of natural numbers) and related principles as illustrations of various aspects of computability theoretic and reverse mathematical analysis. This book contains many exercises and open questions.

Abstracts of Papers Presented to the American Mathematical Society

Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 784 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Abstracts of Papers Presented to the American Mathematical Society by : American Mathematical Society

Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 2008 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Essential Turing

Author : B. J. Copeland
Publisher : Clarendon Press
ISBN 13 : 0191606863
Total Pages : 1428 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis The Essential Turing by : B. J. Copeland

Download or read book The Essential Turing written by B. J. Copeland and published by Clarendon Press. This book was released on 2004-09-09 with total page 1428 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ideas that gave birth to the computer age Alan Turing, pioneer of computing and WWII codebreaker, was one of the most important and influential thinkers of the twentieth century. In this volume for the first time his key writings are made available to a broad, non-specialist readership. They make fascinating reading both in their own right and for their historic significance: contemporary computational theory, cognitive science, artificial intelligence, and artificial life all spring from this ground-breaking work, which is also rich in philosophical and logical insight.

Turing Computability

Author : Robert I. Soare
Publisher : Springer
ISBN 13 : 3642319335
Total Pages : 289 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Turing Computability by : Robert I. Soare

Download or read book Turing Computability written by Robert I. Soare and published by Springer. This book was released on 2016-06-20 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turing's famous 1936 paper introduced a formal definition of a computing machine, a Turing machine. This model led to both the development of actual computers and to computability theory, the study of what machines can and cannot compute. This book presents classical computability theory from Turing and Post to current results and methods, and their use in studying the information content of algebraic structures, models, and their relation to Peano arithmetic. The author presents the subject as an art to be practiced, and an art in the aesthetic sense of inherent beauty which all mathematicians recognize in their subject. Part I gives a thorough development of the foundations of computability, from the definition of Turing machines up to finite injury priority arguments. Key topics include relative computability, and computably enumerable sets, those which can be effectively listed but not necessarily effectively decided, such as the theorems of Peano arithmetic. Part II includes the study of computably open and closed sets of reals and basis and nonbasis theorems for effectively closed sets. Part III covers minimal Turing degrees. Part IV is an introduction to games and their use in proving theorems. Finally, Part V offers a short history of computability theory. The author has honed the content over decades according to feedback from students, lecturers, and researchers around the world. Most chapters include exercises, and the material is carefully structured according to importance and difficulty. The book is suitable for advanced undergraduate and graduate students in computer science and mathematics and researchers engaged with computability and mathematical logic.

The Annotated Turing

Author : Charles Petzold
Publisher : John Wiley & Sons
ISBN 13 : 0470229055
Total Pages : 391 pages
Book Rating : 4.4/5 (72 download)

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Book Synopsis The Annotated Turing by : Charles Petzold

Download or read book The Annotated Turing written by Charles Petzold and published by John Wiley & Sons. This book was released on 2008-06-16 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Programming Legend Charles Petzold unlocks the secrets of the extraordinary and prescient 1936 paper by Alan M. Turing Mathematician Alan Turing invented an imaginary computer known as the Turing Machine; in an age before computers, he explored the concept of what it meant to be computable, creating the field of computability theory in the process, a foundation of present-day computer programming. The book expands Turing’s original 36-page paper with additional background chapters and extensive annotations; the author elaborates on and clarifies many of Turing’s statements, making the original difficult-to-read document accessible to present day programmers, computer science majors, math geeks, and others. Interwoven into the narrative are the highlights of Turing’s own life: his years at Cambridge and Princeton, his secret work in cryptanalysis during World War II, his involvement in seminal computer projects, his speculations about artificial intelligence, his arrest and prosecution for the crime of "gross indecency," and his early death by apparent suicide at the age of 41.

Doklady

Author :
Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Doklady by :

Download or read book Doklady written by and published by . This book was released on 2008 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computability, Forcing and Descriptive Set Theory

Author : Douglas Cenzer
Publisher : World Scientific Publishing Company
ISBN 13 : 9789813228221
Total Pages : 200 pages
Book Rating : 4.2/5 (282 download)

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Book Synopsis Computability, Forcing and Descriptive Set Theory by : Douglas Cenzer

Download or read book Computability, Forcing and Descriptive Set Theory written by Douglas Cenzer and published by World Scientific Publishing Company. This book was released on 2019-12-31 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents some exciting new developments occurring on the interface between set theory and computability as well as their applications in algebra, analysis and topology. These include effective versions of Borel equivalence, Borel reducibility and Borel determinacy. It also covers algorithmic randomness and dimension, Ramsey sets and Ramsey spaces. Many of these topics are being discussed in the NSF-supported annual Southeastern Logic Symposium. Contents: Limits of the Kucerea-Gacs Coding Method (George Barmpalias and Andrew Lewis-Pye);Infinitary partition properties of sums of selective ultrafilters (Andreas Blass);Semiselective Coideals and Ramsey Sets (Carlos DiPrisco and Leonardo Pacheco);Survey on Topological Ramsey Spaces Dense in Forcings (Natasha Dobrinen);Higher Computability in the Reverse Mathematics of Borel Determinacy (Sherwood Hachtman);Computability and Definability (Valentina Harizanov);A Ramsey Space of Infinite Polyhedra and the Random Polyhedron (Jose G Mijares Palacios and Gabriel Padilla);Computable Reducibility for Cantor Space (Russell G Miller);Information vs Dimension - An Algorithmic Perspective (Jan Reimann); Readership: Graduate students and researchers interested in the interface between set theory and computability.