The Theory of Sets of Points

The Theory of Sets of Points

Author: W. H. Young

Publisher: American Mathematical Soc.

Published: 2013-09-30

Total Pages: 346

ISBN-13: 1470409623

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From the Preface to the first edition (1906): "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."


Nil Bohr-Sets and Almost Automorphy of Higher Order

Nil Bohr-Sets and Almost Automorphy of Higher Order

Author: Wen Huang

Publisher: American Mathematical Soc.

Published: 2016-04-26

Total Pages: 98

ISBN-13: 147041872X

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Two closely related topics, higher order Bohr sets and higher order almost automorphy, are investigated in this paper. Both of them are related to nilsystems. In the first part, the problem which can be viewed as the higher order version of an old question concerning Bohr sets is studied: for any d∈N does the collection of {n∈Z:S∩(S−n)∩…∩(S−dn)≠∅} with S syndetic coincide with that of Nild Bohr0 -sets? In the second part, the notion of d -step almost automorphic systems with d∈N∪{∞} is introduced and investigated, which is the generalization of the classical almost automorphic ones.


Codes From Difference Sets

Codes From Difference Sets

Author: Cunsheng Ding

Publisher: World Scientific

Published: 2014-08-08

Total Pages: 354

ISBN-13: 981461937X

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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.


Kiplinger's Personal Finance

Kiplinger's Personal Finance

Author:

Publisher:

Published: 1999-08

Total Pages: 188

ISBN-13:

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The most trustworthy source of information available today on savings and investments, taxes, money management, home ownership and many other personal finance topics.


Rough Sets and Current Trends in Computing

Rough Sets and Current Trends in Computing

Author: Shusaku Tsumoto

Publisher: Springer

Published: 2004-06-16

Total Pages: 871

ISBN-13: 3540259295

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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.


A Book of Set Theory

A Book of Set Theory

Author: Charles C Pinter

Publisher: Courier Corporation

Published: 2014-06-01

Total Pages: 259

ISBN-13: 0486795497

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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.


Numbers Choices Board--Comparing and Ordering Rational Numbers

Numbers Choices Board--Comparing and Ordering Rational Numbers

Author: Wendy Conklin

Publisher: Teacher Created Materials

Published: 2014-02-01

Total Pages: 11

ISBN-13: 1425878482

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This choices board assignment offers diverse options for all types of learners to show what they've learned. Written specifically for mathematics teachers, this lesson helps facilitate the understanding and process of writing choices board lessons.