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Orthomodular Lattices

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Release : 2012-12-06
Genre : Computers
Kind : eBook
Book Rating : 155/5 ( reviews)

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Book Synopsis Orthomodular Lattices by : L. Beran

Download or read book Orthomodular Lattices written by L. Beran. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. Bowever, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programmi ng profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-s.cale order", which are almost impossible to fit into the existing classifica tion schemes. They draw upon widely different sections of mathe matics.

Orthomodular Lattices

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Release : 1983
Genre : Mathematics
Kind : eBook
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Book Synopsis Orthomodular Lattices by : Gudrun Kalmbach

Download or read book Orthomodular Lattices written by Gudrun Kalmbach. This book was released on 1983. Available in PDF, EPUB and Kindle. Book excerpt: This book has evolved from a set of lecture notes of a course on orthomodular lattices given at the University of Ulm. Most concepts are developed from their very first notions, but in some instances basic set theory and Hilbert space theory may be needed. The text is in general independent of the exercises and supplementary remarks. The book can be used for a general lecture on orthomodular lattices and also for seminars on special geometrical or logical topics. As the first monograph in the field it makes the widely spread results on orthomodular lattices more easily accessible for researchers.

Measures And Hilbert Lattices

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Release : 1986-10-01
Genre :
Kind : eBook
Book Rating : 901/5 ( reviews)

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Book Synopsis Measures And Hilbert Lattices by : Gudrun Kalmbach

Download or read book Measures And Hilbert Lattices written by Gudrun Kalmbach. This book was released on 1986-10-01. Available in PDF, EPUB and Kindle. Book excerpt: Contents: IntroductionOrthomodular MeasuresGleason's TheoremJordan-Hahn DecompositionOrthofacial Sets of StatesEquational Classes Related to StatesDecomposition of Complete Orthomodular LatticesCharacterization of Dimension LatticesBirkhoff-Von Neumann TheoremCoordinatizationsKakutani-Mackey TheoremKeller's Non-Classical Hilbert Spaces Readership: Mathematician and Physicist who are interested in Hilbert Lattices.

Canadian Mathematical Bulletin

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Release : 1975-06
Genre :
Kind : eBook
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Book Synopsis Canadian Mathematical Bulletin by :

Download or read book Canadian Mathematical Bulletin written by . This book was released on 1975-06. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Quantum Logic and Quantum Structures

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Release : 2011-08-11
Genre : Mathematics
Kind : eBook
Book Rating : 38X/5 ( reviews)

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Book Synopsis Handbook of Quantum Logic and Quantum Structures by : Kurt Engesser

Download or read book Handbook of Quantum Logic and Quantum Structures written by Kurt Engesser. This book was released on 2011-08-11. Available in PDF, EPUB and Kindle. Book excerpt: Since its inception in the famous 1936 paper by Birkhoff and von Neumann entitled "The logic of quantum mechanics quantum logic, i.e. the logical investigation of quantum mechanics, has undergone an enormous development. Various schools of thought and approaches have emerged and there are a variety of technical results.Quantum logic is a heterogeneous field of research ranging from investigations which may be termed logical in the traditional sense to studies focusing on structures which are on the border between algebra and logic. For the latter structures the term quantum structures is appropriate. The chapters of this Handbook, which are authored by the most eminent scholars in the field, constitute a comprehensive presentation of the main schools, approaches and results in the field of quantum logic and quantum structures. Much of the material presented is of recent origin representing the frontier of the subject. The present volume focuses on quantum structures. Among the structures studied extensively in this volume are, just to name a few, Hilbert lattices, D-posets, effect algebras MV algebras, partially ordered Abelian groups and those structures underlying quantum probability.- Written by eminent scholars in the field of logic- A comprehensive presentation of the theory, approaches and results in the field of quantum logic- Volume focuses on quantum structures

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