Making Presentation Math Computable

Author : André Greiner-Petter
Publisher : Springer Nature
Page : 209 pages
File Size : 52,7 Mb
Release : 2023-01-24
Category : Technology & Engineering
ISBN : 9783658404734

Get Book

Making Presentation Math Computable by André Greiner-Petter Pdf

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.

Author : Anna Maria Bigatti,Jacques Carette,James H. Davenport,Michael Joswig,Timo de Wolff
Publisher : Springer Nature
Page : 491 pages
File Size : 49,6 Mb
Release : 2020-07-07
Category : Computers
ISBN : 9783030522001

Get Book

Mathematical Software – ICMS 2020 by Anna Maria Bigatti,Jacques Carette,James H. Davenport,Michael Joswig,Timo de Wolff Pdf

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.

Author : Richard L. Epstein,Walter Alexandre Carnielli
Publisher : Unknown
Page : 370 pages
File Size : 46,5 Mb
Release : 2008
Category : Mathematics
ISBN : 098155072X

Get Book

Computability by Richard L. Epstein,Walter Alexandre Carnielli Pdf

This classic presentation of the theory of computable functions includes discussions and readings about the crisis in the foundations of mathematics in the early 20th century, while presenting the basic ideas of whole number, function, proof, and real number.

Author : Dana Fisman,Grigore Rosu
Publisher : Springer Nature
Page : 583 pages
File Size : 50,5 Mb
Release : 2022-03-29
Category : Computers
ISBN : 9783030995249

Get Book

Tools and Algorithms for the Construction and Analysis of Systems by Dana Fisman,Grigore Rosu Pdf

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.

Author : Antonio Montalbán
Publisher : Cambridge University Press
Page : 213 pages
File Size : 44,5 Mb
Release : 2021-06-24
Category : Mathematics
ISBN : 9781108423298

Get Book

Computable Structure Theory by Antonio Montalbán Pdf

Presents main results and techniques in computable structure theory together in a coherent framework for the first time in 20 years.

Author : Apostolos Syropoulos
Publisher : Springer Science & Business Media
Page : 170 pages
File Size : 41,6 Mb
Release : 2013-10-23
Category : Mathematics
ISBN : 9781461483793

Get Book

Theory of Fuzzy Computation by Apostolos Syropoulos Pdf

The book provides the first full length exploration of fuzzy computability. It describes the notion of fuzziness and present the foundation of computability theory. It then presents the various approaches to fuzzy computability. This text provides a glimpse into the different approaches in this area, which is important for researchers in order to have a clear view of the field. It contains a detailed literature review and the author includes all proofs to make the presentation accessible. Ideas for future research and explorations are also provided. Students and researchers in computer science and mathematics will benefit from this work.​

Author : Antonio Montalbán
Publisher : Cambridge University Press
Page : 214 pages
File Size : 45,9 Mb
Release : 2021-06-24
Category : Mathematics
ISBN : 9781108534420

Get Book

Computable Structure Theory by Antonio Montalbán Pdf

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.

Author : Adam Olszewski,Jan Wolenski,Robert Janusz
Publisher : Walter de Gruyter
Page : 551 pages
File Size : 42,8 Mb
Release : 2013-05-02
Category : Philosophy
ISBN : 9783110325461

Get Book

Church's Thesis After 70 Years by Adam Olszewski,Jan Wolenski,Robert Janusz Pdf

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.

Author : Alberto Accomazzi
Publisher : Springer Science & Business Media
Page : 163 pages
File Size : 51,7 Mb
Release : 2011-05-10
Category : Science
ISBN : 9781441983695

Get Book

Future Professional Communication in Astronomy II by Alberto Accomazzi Pdf

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.

Author : Alec Fisher
Publisher : Oxford University Press, USA
Page : 214 pages
File Size : 52,5 Mb
Release : 1982
Category : Mathematics
ISBN : UOM:39015017311146

Get Book

Formal Number Theory and Computability by Alec Fisher Pdf

Author : Anonim
Publisher : Unknown
Page : 884 pages
File Size : 47,8 Mb
Release : 2007
Category : Mathematics
ISBN : UOM:39015076649873

Get Book

Mathematical Reviews by Anonim Pdf

Author : Adam Day,Michael Fellows,Noam Greenberg,Bakhadyr Khoussainov,Alexander Melnikov,Frances Rosamond
Publisher : Springer
Page : 788 pages
File Size : 41,8 Mb
Release : 2016-11-30
Category : Computers
ISBN : 9783319500621

Get Book

Computability and Complexity by Adam Day,Michael Fellows,Noam Greenberg,Bakhadyr Khoussainov,Alexander Melnikov,Frances Rosamond Pdf

This Festschrift is published in honor of Rodney G. Downey, eminent logician and computer scientist, surfer and Scottish country dancer, on the occasion of his 60th birthday. The Festschrift contains papers and laudations that showcase the broad and important scientific, leadership and mentoring contributions made by Rod during his distinguished career. The volume contains 42 papers presenting original unpublished research, or expository and survey results in Turing degrees, computably enumerable sets, computable algebra, computable model theory, algorithmic randomness, reverse mathematics, and parameterized complexity, all areas in which Rod Downey has had significant interests and influence. The volume contains several surveys that make the various areas accessible to non-specialists while also including some proofs that illustrate the flavor of the fields.

Author : Alan P. Parkes
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781447101437

Get Book

Introduction to Languages, Machines and Logic by Alan P. Parkes Pdf

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.

Author : Avi Wigderson
Publisher : Princeton University Press
Page : 434 pages
File Size : 48,5 Mb
Release : 2019-10-29
Category : Computers
ISBN : 9780691189130

Get Book

Mathematics and Computation by Avi Wigderson Pdf

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

Author : American Mathematical Society
Publisher : Unknown
Page : 784 pages
File Size : 49,8 Mb
Release : 2008
Category : Mathematics
ISBN : CORNELL:31924099658993

Get Book

Abstracts of Papers Presented to the American Mathematical Society by American Mathematical Society Pdf