Making Presentation Math Computable
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Making Presentation Math Computable
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Author : André Greiner-Petter
language : en
Publisher: Springer Nature
Release Date : 2023-01-24
Making Presentation Math Computable written by André Greiner-Petter and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-24 with Technology & Engineering categories.
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.
Computability
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Author : Richard L. Epstein
language : en
Publisher:
Release Date : 2008
Computability written by Richard L. Epstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
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.
Mathematical Software Icms 2020
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Author : Anna Maria Bigatti
language : en
Publisher: Springer Nature
Release Date : 2020-07-07
Mathematical Software Icms 2020 written by Anna Maria Bigatti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-07 with Computers categories.
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.
Theory Of Fuzzy Computation
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Author : Apostolos Syropoulos
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-23
Theory Of Fuzzy Computation written by Apostolos Syropoulos 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 2013-10-23 with Mathematics categories.
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.
Computable Structure Theory
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Author : Antonio Montalbán
language : en
Publisher: Cambridge University Press
Release Date : 2021-06-24
Computable Structure Theory written by Antonio Montalbán and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-24 with Mathematics categories.
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.
Tools And Algorithms For The Construction And Analysis Of Systems
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Author : Dana Fisman
language : en
Publisher: Springer Nature
Release Date : 2022-03-29
Tools And Algorithms For The Construction And Analysis Of Systems written by Dana Fisman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-29 with Computers categories.
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.
Computability
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Author : Richard L. Epstein
language : en
Publisher:
Release Date : 2008
Computability written by Richard L. Epstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
This is an instructor's manual to accompany Computability: Computable Functions, Logic, and the Foundations of Mathematics, written by the same authors. It is not sold separately but is available on request to instructors using that text.
Computability And Logic
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Author : Daniel E. Cohen
language : en
Publisher:
Release Date : 1987
Computability And Logic written by Daniel E. Cohen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Formal Number Theory And Computability
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Author : Alec Fisher
language : en
Publisher: Oxford University Press, USA
Release Date : 1982
Formal Number Theory And Computability written by Alec Fisher and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Church S Thesis After 70 Years
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Author : Adam Olszewski
language : en
Publisher: Walter de Gruyter
Release Date : 2013-05-02
Church S Thesis After 70 Years written by Adam Olszewski and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-02 with Philosophy categories.
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.