A Book of Set Theory

A Book of Set Theory PDF Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486795497
Category : Mathematics
Languages : en
Pages : 256

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Book Description
Accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Topics include classes and sets, functions, natural and cardinal numbers, arithmetic of ordinal numbers, and more. 1971 edition with new material by author.

The Theory of Sets of Points

The Theory of Sets of Points PDF Author: W. H. Young
Publisher: American Mathematical Soc.
ISBN: 1470409623
Category :
Languages : en
Pages : 326

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Book Description
From the Preface to the First Edition (1906): ``There are no definitely accepted landmarks in the didactic treatment of Georg Cantor's magnificent theory, which is the subject of the present volume. A few of the most modern books on the Theory of Functions devote some pages to the establishment of certain results belonging to our subject, and required for the special purposes in hand ... But we may fairly claim that the present work is the first attempt at a systematic exposition of the subject as a whole.'' In this second edition, notes have been added by I. Grattan-Guinness drawn from extensive annotations in the author's own copy. A further appendix has been added.

Rough Sets and Current Trends in Computing

Rough Sets and Current Trends in Computing PDF Author: Shusaku Tsumoto
Publisher: Springer
ISBN: 3540259295
Category : Computers
Languages : en
Pages : 860

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Book Description
In recent years rough set theory has attracted the attention of many researchers and practitioners all over the world, who have contributed essentially to its development and applications. Weareobservingagrowingresearchinterestinthefoundationsofroughsets, including the various logical, mathematical and philosophical aspects of rough sets. Some relationships have already been established between rough sets and other approaches, and also with a wide range of hybrid systems. As a result, rough sets are linked with decision system modeling and analysis of complex systems, fuzzy sets, neural networks, evolutionary computing, data mining and knowledge discovery, pattern recognition, machine learning, and approximate reasoning. In particular, rough sets are used in probabilistic reasoning, granular computing (including information granule calculi based on rough mereology), intelligent control, intelligent agent modeling, identi?cation of autonomous s- tems, and process speci?cation. Methods based on rough set theory alone or in combination with other - proacheshavebeendiscoveredwith awide rangeofapplicationsinsuchareasas: acoustics, bioinformatics, business and ?nance, chemistry, computer engineering (e.g., data compression, digital image processing, digital signal processing, p- allel and distributed computer systems, sensor fusion, fractal engineering), de- sion analysis and systems, economics, electrical engineering (e.g., control, signal analysis, power systems), environmental studies, informatics, medicine, mole- lar biology, musicology, neurology, robotics, social science, software engineering, spatial visualization, Web engineering, and Web mining.

Transactions on Rough Sets IV

Transactions on Rough Sets IV PDF Author: James F. Peters
Publisher: Springer
ISBN: 3540320164
Category : Computers
Languages : en
Pages : 378

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Book Description
Volume IV of the Transactions on Rough Sets (TRS) introduces a number of new advances in the theory and application of rough sets. Rough sets and - proximationspaceswereintroducedmorethan30yearsagobyZdzis lawPawlak. These advances have profound implications in a number of research areas such as the foundations of rough sets, approximate reasoning, arti?cial intelligence, bioinformatics,computationalintelligence, cognitivescience, intelligentsystems, datamining,machineintelligence,andsecurity. Inaddition,itisevidentfromthe papers included in this volume that the foundations and applications of rough sets is a very active research area worldwide. A total of 16 researchers from 7 countries are represented in this volume, namely, Canada, India, Norway, S- den, Poland, Russia and the United States of America. Evidence of the vigor, breadth and depth of research in the theory and applications of rough sets can be found in the 10 articles in this volume. Prof. Pawlak has contributed a treatise on the philosophical underpinnings of rough sets. In this treatise, observations are made about the Cantor notion of a set, antinomies arising from Cantor sets, the problem of vagueness (es- cially, vague (imprecise) concepts), fuzzy sets, rough sets, fuzzy vs. rough sets as well as logic and rough sets. Among the many vistas and research directions suggested by Prof. Pawlak, one of the most fruitful concerns the model for a rough membership function, which was incarnated in many di?erent forms since its introduction by Pawlakand Skowronin 1994. Recall, here, that Prof.

Regressive Sets and the Theory of Isols

Regressive Sets and the Theory of Isols PDF Author: Thomas G. McLaughlin
Publisher: Marcel Dekker Incorporated
ISBN:
Category : Mathematics
Languages : en
Pages : 371

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Book Description
Regressive sets and the theory of isols brings together, in a single convenient source, a substantial, representative sampling of available recursion-theoretic and algebraic material on isols and offers several recent theorems about regressive sets and isols that have not been published elsewhere. The only systematic, comprehensivetreatmentt specifically on isol theory, this important volume focuses initially on the recursion-theoretic properties of the sets belonging to an isol...details the algebra of isols, building gradually from ad hoc constructions through an increasingly potent hierarchy of "metatheorems" ...providessnumerouss open problems concerningisols andd their representatives. Algebraisits, combinatorists, set theorems, computer scientists, and students studying the topic will clearly find Regressive sets and the theory of isols the ideal research source for their own work with isols and related parts of recursion theory.

Codes From Difference Sets

Codes From Difference Sets PDF Author: Ding Cunsheng
Publisher: World Scientific
ISBN: 981461937X
Category : Mathematics
Languages : en
Pages : 356

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Book Description
This is the first monograph on codebooks and linear codes from difference sets and almost difference sets. It aims at providing a survey of constructions of difference sets and almost difference sets as well as an in-depth treatment of codebooks and linear codes from difference sets and almost difference sets. To be self-contained, this monograph covers necessary mathematical foundations and the basics of coding theory. It also contains tables of best BCH codes and best cyclic codes over GF(2) and GF(3) up to length 125 and 79, respectively. This repository of tables can be used to benchmark newly constructed cyclic codes. This monograph is intended to be a reference for postgraduates and researchers who work on combinatorics, or coding theory, or digital communications.

Theory and Examples of Point-set Topology

Theory and Examples of Point-set Topology PDF Author: John Jay Greever
Publisher:
ISBN:
Category : Topology
Languages : en
Pages : 130

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Book Description


An English-Arabic Lexicon

An English-Arabic Lexicon PDF Author: George Percy Badger
Publisher:
ISBN:
Category : Arabic language
Languages : ar
Pages : 1244

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Book Description


Serial set (no.12001-12799)

Serial set (no.12001-12799) PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


A Book of Set Theory

A Book of Set Theory PDF Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486795497
Category : Mathematics
Languages : en
Pages : 256

View

Book Description
Accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Topics include classes and sets, functions, natural and cardinal numbers, arithmetic of ordinal numbers, and more. 1971 edition with new material by author.

SAS/GRAPH Software, Map Data Sets

SAS/GRAPH Software, Map Data Sets PDF Author:
Publisher:
ISBN:
Category : Cartes géographiques
Languages : en
Pages : 165

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Book Description


The Theory of Sets of Points

The Theory of Sets of Points PDF Author: W. H. Young
Publisher: American Mathematical Soc.
ISBN: 1470409623
Category :
Languages : en
Pages : 326

View

Book Description
From the Preface to the First Edition (1906): ``There are no definitely accepted landmarks in the didactic treatment of Georg Cantor's magnificent theory, which is the subject of the present volume. A few of the most modern books on the Theory of Functions devote some pages to the establishment of certain results belonging to our subject, and required for the special purposes in hand ... But we may fairly claim that the present work is the first attempt at a systematic exposition of the subject as a whole.'' In this second edition, notes have been added by I. Grattan-Guinness drawn from extensive annotations in the author's own copy. A further appendix has been added.

Rough Sets and Current Trends in Computing

Rough Sets and Current Trends in Computing PDF Author: Shusaku Tsumoto
Publisher: Springer
ISBN: 3540259295
Category : Computers
Languages : en
Pages : 860

View

Book Description
In recent years rough set theory has attracted the attention of many researchers and practitioners all over the world, who have contributed essentially to its development and applications. Weareobservingagrowingresearchinterestinthefoundationsofroughsets, including the various logical, mathematical and philosophical aspects of rough sets. Some relationships have already been established between rough sets and other approaches, and also with a wide range of hybrid systems. As a result, rough sets are linked with decision system modeling and analysis of complex systems, fuzzy sets, neural networks, evolutionary computing, data mining and knowledge discovery, pattern recognition, machine learning, and approximate reasoning. In particular, rough sets are used in probabilistic reasoning, granular computing (including information granule calculi based on rough mereology), intelligent control, intelligent agent modeling, identi?cation of autonomous s- tems, and process speci?cation. Methods based on rough set theory alone or in combination with other - proacheshavebeendiscoveredwith awide rangeofapplicationsinsuchareasas: acoustics, bioinformatics, business and ?nance, chemistry, computer engineering (e.g., data compression, digital image processing, digital signal processing, p- allel and distributed computer systems, sensor fusion, fractal engineering), de- sion analysis and systems, economics, electrical engineering (e.g., control, signal analysis, power systems), environmental studies, informatics, medicine, mole- lar biology, musicology, neurology, robotics, social science, software engineering, spatial visualization, Web engineering, and Web mining.

Transactions on Rough Sets IV

Transactions on Rough Sets IV PDF Author: James F. Peters
Publisher: Springer
ISBN: 3540320164
Category : Computers
Languages : en
Pages : 378

View

Book Description
Volume IV of the Transactions on Rough Sets (TRS) introduces a number of new advances in the theory and application of rough sets. Rough sets and - proximationspaceswereintroducedmorethan30yearsagobyZdzis lawPawlak. These advances have profound implications in a number of research areas such as the foundations of rough sets, approximate reasoning, arti?cial intelligence, bioinformatics,computationalintelligence, cognitivescience, intelligentsystems, datamining,machineintelligence,andsecurity. Inaddition,itisevidentfromthe papers included in this volume that the foundations and applications of rough sets is a very active research area worldwide. A total of 16 researchers from 7 countries are represented in this volume, namely, Canada, India, Norway, S- den, Poland, Russia and the United States of America. Evidence of the vigor, breadth and depth of research in the theory and applications of rough sets can be found in the 10 articles in this volume. Prof. Pawlak has contributed a treatise on the philosophical underpinnings of rough sets. In this treatise, observations are made about the Cantor notion of a set, antinomies arising from Cantor sets, the problem of vagueness (es- cially, vague (imprecise) concepts), fuzzy sets, rough sets, fuzzy vs. rough sets as well as logic and rough sets. Among the many vistas and research directions suggested by Prof. Pawlak, one of the most fruitful concerns the model for a rough membership function, which was incarnated in many di?erent forms since its introduction by Pawlakand Skowronin 1994. Recall, here, that Prof.

Regressive Sets and the Theory of Isols

Regressive Sets and the Theory of Isols PDF Author: Thomas G. McLaughlin
Publisher: Marcel Dekker Incorporated
ISBN:
Category : Mathematics
Languages : en
Pages : 371

View

Book Description
Regressive sets and the theory of isols brings together, in a single convenient source, a substantial, representative sampling of available recursion-theoretic and algebraic material on isols and offers several recent theorems about regressive sets and isols that have not been published elsewhere. The only systematic, comprehensivetreatmentt specifically on isol theory, this important volume focuses initially on the recursion-theoretic properties of the sets belonging to an isol...details the algebra of isols, building gradually from ad hoc constructions through an increasingly potent hierarchy of "metatheorems" ...providessnumerouss open problems concerningisols andd their representatives. Algebraisits, combinatorists, set theorems, computer scientists, and students studying the topic will clearly find Regressive sets and the theory of isols the ideal research source for their own work with isols and related parts of recursion theory.

中華民國台湾地区, 出口貿易统計月報

中華民國台湾地区, 出口貿易统計月報 PDF Author:
Publisher:
ISBN:
Category : Exports
Languages : en
Pages :

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Book Description