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Formalization Of Complex Analysis And Matrix Theory


Formalization Of Complex Analysis And Matrix Theory
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Formalization Of Complex Analysis And Matrix Theory


Formalization Of Complex Analysis And Matrix Theory
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Author : Zhiping Shi
language : en
Publisher: Springer Nature
Release Date : 2020-08-10

Formalization Of Complex Analysis And Matrix Theory written by Zhiping Shi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-10 with Mathematics categories.


This book discusses the formalization of mathematical theories centering on complex analysis and matrix theory, covering topics such as algebraic systems, complex numbers, gauge integration, the Fourier transformation and its discrete counterpart, matrices and their transformation, inner product spaces, and function matrices. The formalization is performed using the interactive theorem prover HOL4, chiefly developed at the University of Cambridge. Many of the developments presented are now integral parts of the library of this prover. As mathematical developments continue to gain in complexity, sometimes demanding proofs of enormous sizes, formalization has proven to be invaluable in terms of obtaining real confidence in their correctness. This book provides a basis for the computer-aided verification of engineering systems constructed using the principles of complex analysis and matrix theory, as well as building blocks for the formalization of more involved mathematical theories.



Formal Methods For Industrial Critical Systems


Formal Methods For Industrial Critical Systems
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Author : Frédéric Lang
language : en
Publisher: Springer
Release Date : 2014-09-01

Formal Methods For Industrial Critical Systems written by Frédéric Lang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with Computers categories.


This book constitutes the proceedings of the 19th International Conference on Formal Methods for Industrial Critical Systems, FMICS 2014, held in Florence, Italy, in September 2014. The 13 papers presented in this volume were carefully reviewed and selected from 26 submissions. They are organized in topical sections named: cyber-physical systems; computer networks; railway control systems; verification methods; and hardware and software testing.



Theorem Proving In Higher Order Logics


Theorem Proving In Higher Order Logics
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Author : Joe Hurd
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-08

Theorem Proving In Higher Order Logics written by Joe Hurd 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 2005-08-08 with Computers categories.


This book constitutes the refereed proceedings of the 18th International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2005, held in Oxford, UK, in August 2005. The 20 revised full papers presented together with 2 invited papers and 4 proof pearls (concise and elegant presentations of interesting examples) were carefully reviewed and selected from 49 submissions. All current issues in HOL theorem proving and formal verification of software and hardware systems are addressed. Among the topics of this volume are theorem proving, verification, recursion and induction, mechanized proofs, mathematical logic, proof theory, type systems, program verification, and proving systems like HOL, Coq, ACL2, Isabelle/HOL and Isabelle/HOLCF.



Formal Methods And Software Engineering


Formal Methods And Software Engineering
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Author : Kazuhiro Ogata
language : en
Publisher: Springer Nature
Release Date : 2024-11-28

Formal Methods And Software Engineering written by Kazuhiro Ogata and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-28 with Computers categories.


This volume LNCS 15394 constitutes the refereed proceedings of 25th International Conference on Formal Engineering Methods, ICFEM 2024, in Hiroshima, Japan, in December 2024. The 22 full papers presented were carefully reviewed and selected from 50 submissions. The conference focuses on wide range of research areas, covering both theoretical foundations and practical applications of formal engineering methods



Theorizing Teaching And Learning In Asia And Europe


Theorizing Teaching And Learning In Asia And Europe
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Author : John Chi-Kin Lee
language : en
Publisher: Taylor & Francis
Release Date : 2017-03-27

Theorizing Teaching And Learning In Asia And Europe written by John Chi-Kin Lee and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-27 with Education categories.


There has been much debate in recent times between the Anglo American tradition of curriculum studies and the Continental and North European tradition of didactics (Didaktik). As important as such debate has been, this book seeks to add new voices to the debate representing ideas and traditions from a different part of the world. The focus is on Chinese curriculum thinking that has passed through a number of stages and currently represents a blend of some aspects of the American tradition and Chinese cultural traditions. How does Chinese thinking about curriculum, teaching and learning resonate with European didactic traditions and what are the implications for theorizing an expanded field of curriculum studies? This book deliberately transcends borders and cultures to explore new territory, to provide a platform for open dialogue and to open up new areas of investigation Chapters include, Curriculum Reform and Research in China: A Social-Historical Perspective What Mathematics Did Teachers Learn? Comparison of the School and the Pre-Service Teacher Mathematics Curricula in Germany and Taiwan Living in Parallel Worlds: A Transatlantic Dialogue between General Didactics and Instructional Design



Nasa Formal Methods


Nasa Formal Methods
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Author : Guillaume Brat
language : en
Publisher: Springer
Release Date : 2013-05-09

Nasa Formal Methods written by Guillaume Brat and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-09 with Computers categories.


This book constitutes the refereed proceedings of the 5th International Symposium on NASA Formal Methods, NFM 2013, held in Moffett Field, CA, USA, in May 2013. The 28 revised regular papers presented together with 9 short papers talks were carefully reviewed and selected from 99 submissions. The topics are organized in topical sections on model checking; applications of formal methods; complex systems; static analysis; symbolic execution; requirements and specifications; probabilistic and statistical analysis; and theorem proving.



Formal Methods And Software Engineering


Formal Methods And Software Engineering
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Author : Zhenhua Duan
language : en
Publisher: Springer
Release Date : 2017-10-13

Formal Methods And Software Engineering written by Zhenhua Duan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-13 with Computers categories.


This book constitutes the refereed proceedings of the 19th International Conference on Formal Engineering Methods, ICFEM 2017, held in Xi'an, China, in November 2017. The 28 revised full papers presented together with one invited talk and two abstracts of invited talks were carefully reviewed and selected from 80 submissions. The conference focuses on all areas related to formal engineering methods, such as verification and validation, software engineering, formal specification and modeling, software security, and software reliability.



Formal Aspects Of Component Software


Formal Aspects Of Component Software
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Author : Diego Marmsoler
language : en
Publisher: Springer Nature
Release Date : 2024-09-07

Formal Aspects Of Component Software written by Diego Marmsoler and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-07 with Computers categories.


This book constitutes the refereed proceedings of the 20th International Conference on Formal Aspects of Component Software, FACS 2024, held in Milan, Italy, during September 9-10, 2024. The 7 full papers and 1 short paper included in this book were carefully reviewed and selected from 16 submissions. They are organized in topical sections as follows: verification and testing, formal models, and security and blockchain.



Formal Methods And Software Engineering


Formal Methods And Software Engineering
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Author : Jing Sun
language : en
Publisher: Springer
Release Date : 2018-11-05

Formal Methods And Software Engineering written by Jing Sun and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Computers categories.


This book constitutes the refereed proceedings of the 20th International Conference on Formal Engineering Methods, ICFEM 2018, held in Gold Coast, QLD, Australia, in November 2018. The 22 revised full papers presented together with 14 short papers were carefully reviewed and selected from 66 submissions. The conference focuses on all areas related to formal engineering methods, such as verification; network systems; type theory; theorem proving; logic and semantics; refinement and transition systems; and emerging applications of formal methods.



First European Congress Of Mathematics


First European Congress Of Mathematics
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Author : Anthony Joseph
language : en
Publisher: Nelson Thornes
Release Date : 1994-08

First European Congress Of Mathematics written by Anthony Joseph and has been published by Nelson Thornes this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-08 with Mathematics categories.


The book contains the round table reports of the first European Congress of Mathematics, a new feature of this Congress devoted to furthering the contribution of mathematics to society and reporting on its interaction with the exact and social sciences. Topics: • Mathematics and the general public • Women and mathematics • Mathematics and educational policy • Let's cultivate mathematics! • Mathematical Europe: Myth or historical reality? • Philosophie des mathématiques : pourquoi ? comment ? • Mathématiques et sciences sociales • Mathe- matics and industry • Degree harmonization and student exchange programmes • The Pythagoras programme • Collaboration with devel- oping countries • Mathematical libraries in Europe • Mathematics and economics • Mathématiques et Chimie • Mathematics in medicine and biology. This book is also available in hardcover as Volume 121 of the series Progress in Mathematics, where it forms part of the three-volume set First European Congress of Mathematics. Volumes I (Invited Lectures Part 1) and II (Invited Lectures Part 2) of this set are also available separately as Volumes 119 and 120, respectively, of Progress in Mathematics.