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Measurable Spaces with C.c.c

Measurable Spaces with C.c.c PDF Author: Rae Michael Shortt
Publisher:
ISBN:
Category : Borel subgroups
Languages : en
Pages : 52

Book Description


Measurable Spaces with C.c.c

Measurable Spaces with C.c.c PDF Author: Rae Michael Shortt
Publisher:
ISBN:
Category : Borel subgroups
Languages : en
Pages : 52

Book Description


Absolute Measurable Spaces

Absolute Measurable Spaces PDF Author: Togo Nishiura
Publisher: Cambridge University Press
ISBN: 0521875560
Category : Mathematics
Languages : en
Pages : 26

Book Description
Emphasizes topological, geometrical and analytical properties of absolute measurable spaces; of interest for real analysis, set theory and measure theory.

Measure and Measurable Dynamics

Measure and Measurable Dynamics PDF Author: R. Daniel Mauldin
Publisher: American Mathematical Soc.
ISBN: 0821850997
Category : Mathematics
Languages : en
Pages : 352

Book Description
Dorothy Maharam Stone's contributions to operators and measure algebras has had a profound influence on this area of research. This volume contains the proceedings of the Conference on Measure and Measurable Dynamics, held in honor of Stone at the University of Rochester in September 1987.

Integral, Measure, and Ordering

Integral, Measure, and Ordering PDF Author: Beloslav Riecan
Publisher: Springer Science & Business Media
ISBN: 9401589194
Category : Mathematics
Languages : en
Pages : 389

Book Description
The present book is a monograph including some recent results of mea sure and integration theory. It concerns three main ideas. The first idea deals with some ordering structures such as Riesz spaces and lattice or dered groups, and their relation to measure and integration theory. The second is the idea of fuzzy sets, quite new in general, and in measure theory particularly. The third area concerns some models of quantum mechanical systems. We study mainly models based on fuzzy set theory. Some recent results are systematically presented along with our suggestions for further development. The first chapter has an introductory character, where we present basic definitions and notations. Simultaneously, this chapter can be regarded as an elementary introduction to fuzzy set theory. Chapter 2 contains an original approach to the convergence of sequences of measurable functions. While the notion of a null set can be determined uniquely, the notion of a set of "small" measure has a fuzzy character. It is interesting that the notion of fuzzy set and the notion of a set of small measure (described mathematically by so-called small systems) were introduced independently at almost the same time. Although the axiomatic systems in both theories mentioned are quite different, we show that the notion of a small system can be considered from the point of view of fuzzy sets.

General Topology and Applications

General Topology and Applications PDF Author: Susan J. Andima
Publisher: CRC Press
ISBN: 1000147878
Category : Mathematics
Languages : en
Pages : 440

Book Description
This book is based on the proceedings of the Fifth Northeast Conference on General Topology and Applications, held at The College of Staten Island – The City University of New York. It provides insight into the relationship between general topology and other areas of mathematics.

Delta-convex Mappings Between Banach Spaces and Applications

Delta-convex Mappings Between Banach Spaces and Applications PDF Author: L. Veselý
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 60

Book Description


Measure Theory

Measure Theory PDF Author: D. H. Fremlin
Publisher: Torres Fremlin
ISBN: 0953812952
Category : Fourier analysis
Languages : en
Pages : 292

Book Description


Containing Spaces for Planar Rational Compacta

Containing Spaces for Planar Rational Compacta PDF Author: J. C. Mayer
Publisher:
ISBN:
Category : Compact spaces
Languages : en
Pages : 40

Book Description


Integral, Probability, and Fractal Measures

Integral, Probability, and Fractal Measures PDF Author: Gerald A Edgar
Publisher: Springer Science & Business Media
ISBN: 9780387982052
Category : Mathematics
Languages : en
Pages : 300

Book Description
Providing the mathematical background required for the study of fractal topics, this book deals with integration in the modern sense, together with mathematical probability. The emphasis is on the particular results that aid the discussion of fractals, and follows Edgars Measure, Topology, and Fractal Geometry. With exercises throughout, this is and ideal text for beginning graduate students both in the classroom and for self-study.

Algebraic Geometry and Statistical Learning Theory

Algebraic Geometry and Statistical Learning Theory PDF Author: Sumio Watanabe
Publisher: Cambridge University Press
ISBN: 0521864674
Category : Computers
Languages : en
Pages : 295

Book Description
Sure to be influential, Watanabe's book lays the foundations for the use of algebraic geometry in statistical learning theory. Many models/machines are singular: mixture models, neural networks, HMMs, Bayesian networks, stochastic context-free grammars are major examples. The theory achieved here underpins accurate estimation techniques in the presence of singularities.