The Div N

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Structure Theory

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Author : Helmut Strade
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-04-24

Structure Theory written by Helmut Strade and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-24 with Mathematics categories.

The problem of classifying the finite dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one. Work on this question has been directed by the Kostrikin-Shafarevich Conjecture of 1966, which states that over an algebraically closed field of characteristic p > 5 a finite dimensional restricted simple Lie algebra is classical or of Cartan type. This conjecture was proved for p > 7 by Block and Wilson in 1988. The generalization of the Kostrikin-Shafarevich Conjecture for the general case of not necessarily restricted Lie algebras and p > 7 was announced in 1991 by Strade and Wilson and eventually proved by Strade in 1998. The final Block-Wilson-Strade-Premet Classification Theorem is a landmark result of modern mathematics and can be formulated as follows: Every simple finite dimensional simple Lie algebra over an algebraically closed field of characteristic p > 3 is of classical, Cartan, or Melikian type. In the three-volume book, the author is assembling the proof of the Classification Theorem with explanations and references. The goal is a state-of-the-art account on the structure and classification theory of Lie algebras over fields of positive characteristic. This first volume is devoted to preparing the ground for the classification work to be performed in the second and third volumes. The concise presentation of the general theory underlying the subject matter and the presentation of classification results on a subclass of the simple Lie algebras for all odd primes will make this volume an invaluable source and reference for all research mathematicians and advanced graduate students in algebra. The second edition is corrected. Contents Toral subalgebras in p-envelopes Lie algebras of special derivations Derivation simple algebras and modules Simple Lie algebras Recognition theorems The isomorphism problem Structure of simple Lie algebras Pairings of induced modules Toral rank 1 Lie algebras

Mathematical Knowledge Management

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Author : Michael Kohlhase
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02

Mathematical Knowledge Management written by Michael Kohlhase 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 2006-02 with Computers categories.

This book constitutes the thoroughly refereed post-proceedings of the 4th International Conference on Mathematical Knowledge Management. The 26 revised full papers presented were carefully selected during two rounds of reviewing and improvement from 38 submissions. The papers cover mathematical knowledge management. Topics range from foundations and the representational and document-structure aspects of mathematical knowledge, over process questions like authoring, migration, and consistency management by automated theorem proving to applications in e-learning and case studies.

Chronology 1941 1945

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Author :
language : en
Publisher:
Release Date : 1960

Chronology 1941 1945 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Government publications categories.

This chronology focuses on tactical events from the attack on Pearl Harbor on 7 December 1941 to the signing of the instrument of surrender on the USS Missouri on 2 September 1945. The work includes a comprehensive index.

A Gazetteer Of The World

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Author :
language : en
Publisher:
Release Date : 1856

A Gazetteer Of The World written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1856 with Geography categories.

Armor

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Author :
language : en
Publisher:
Release Date : 1974

Armor written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Armored vehicles, Military categories.

The magazine of mobile warfare.

Review Of Current Dhhs Doe And Epa Research Related To Toxicology

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Author :
language : en
Publisher:
Release Date : 1988

Review Of Current Dhhs Doe And Epa Research Related To Toxicology written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Toxicology categories.

Fundamentals Of Software Engineering

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Author : Hossein Hojjat
language : en
Publisher: Springer Nature
Release Date : 2023-08-29

Fundamentals Of Software Engineering written by Hossein Hojjat and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-29 with Computers categories.

This book constitutes the thoroughly refereed post-conference proceedings of the 10th International Conference on Fundamentals of Software Engineering, FSEN 2023, held Tehran, Iran in May 4-5, 2023. The 9 full papers and 2 short papers presented in this volume were carefully reviewed and selected from 19 submissions. The topics of interest in FSEN span over all aspects of formal methods, especially those related to advancing the application of formal methods in the software industry and promoting their integration with practical engineering techniques. The papers are organized in topical sections on coordination, logic, networks, parallel computation, and testing.

The Theory Of Quantum Torus Knots

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Author : Michael Ungs
language : en
Publisher: Lulu.com
Release Date : 2009-11-06

The Theory Of Quantum Torus Knots written by Michael Ungs and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-06 with Technology & Engineering categories.

A detailed mathematical derivation of space curves is presented that links the diverse fields of superfluids, quantum mechanics, and hydrodynamics by a common foundation. The basic mathematical building block is called the theory of quantum torus knots (QTK).

A Gazetteer Of The World Hensburrow Lurin

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Author :
language : en
Publisher:
Release Date : 1856

A Gazetteer Of The World Hensburrow Lurin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1856 with Gazetteers categories.

Isabelle Hol

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Author : Tobias Nipkow
language : en
Publisher: Springer
Release Date : 2003-07-31

Isabelle Hol written by Tobias Nipkow 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 Mathematics categories.

This volume is a self-contained introduction to interactive proof in high- order logic (HOL), using the proof assistant Isabelle 2002. Compared with existing Isabelle documentation, it provides a direct route into higher-order logic, which most people prefer these days. It bypasses ?rst-order logic and minimizes discussion of meta-theory. It is written for potential users rather than for our colleagues in the research world. Another departure from previous documentation is that we describe Markus Wenzel’s proof script notation instead of ML tactic scripts. The l- ter make it easier to introduce new tactics on the ?y, but hardly anybody does that. Wenzel’s dedicated syntax is elegant, replacing for example eight simpli?cation tactics with a single method, namely simp, with associated - tions. The book has three parts. – The ?rst part, Elementary Techniques, shows how to model functional programs in higher-order logic. Early examples involve lists and the natural numbers. Most proofs are two steps long, consisting of induction on a chosen variable followed by the auto tactic. But even this elementary part covers such advanced topics as nested and mutual recursion. – The second part, Logic and Sets, presents a collection of lower-level tactics that you can use to apply rules selectively. It also describes I- belle/HOL’s treatment of sets, functions, and relations and explains how to de?ne sets inductively. One of the examples concerns the theory of model checking, and another is drawn from a classic textbook on formal languages.