Extensions and Relaxations

Extensions and Relaxations

Author: A.G. Chentsov

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 420

ISBN-13: 9401715270

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In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of constraints. This construction is realized in a special class of generalized elements defined as finitely additive measures. A version of the method of programmed iterations is constructed. This version realizes multi-valued control quasistrategies, which guarantees the solution of the control problem that consists in guidance to a given set under observation of phase constraints. Audience: The book will be of interest to researchers, and graduate students in the field of optimal control, mathematical systems theory, measure and integration, functional analysis, and general topology.


Book Synopsis Extensions and Relaxations by : A.G. Chentsov

Download or read book Extensions and Relaxations written by A.G. Chentsov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of constraints. This construction is realized in a special class of generalized elements defined as finitely additive measures. A version of the method of programmed iterations is constructed. This version realizes multi-valued control quasistrategies, which guarantees the solution of the control problem that consists in guidance to a given set under observation of phase constraints. Audience: The book will be of interest to researchers, and graduate students in the field of optimal control, mathematical systems theory, measure and integration, functional analysis, and general topology.


Extensions and Relaxations

Extensions and Relaxations

Author: Aleksander Chentsov

Publisher: Springer

Published: 2014-03-14

Total Pages: 408

ISBN-13: 9789401715287

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In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of constraints. This construction is realized in a special class of generalized elements defined as finitely additive measures. A version of the method of programmed iterations is constructed. This version realizes multi-valued control quasistrategies, which guarantees the solution of the control problem that consists in guidance to a given set under observation of phase constraints. Audience: The book will be of interest to researchers, and graduate students in the field of optimal control, mathematical systems theory, measure and integration, functional analysis, and general topology.


Book Synopsis Extensions and Relaxations by : Aleksander Chentsov

Download or read book Extensions and Relaxations written by Aleksander Chentsov and published by Springer. This book was released on 2014-03-14 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of constraints. This construction is realized in a special class of generalized elements defined as finitely additive measures. A version of the method of programmed iterations is constructed. This version realizes multi-valued control quasistrategies, which guarantees the solution of the control problem that consists in guidance to a given set under observation of phase constraints. Audience: The book will be of interest to researchers, and graduate students in the field of optimal control, mathematical systems theory, measure and integration, functional analysis, and general topology.


Modern Methods for Teachers

Modern Methods for Teachers

Author: Charles Clinton Boyer

Publisher:

Published: 1908

Total Pages: 356

ISBN-13:

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Book Synopsis Modern Methods for Teachers by : Charles Clinton Boyer

Download or read book Modern Methods for Teachers written by Charles Clinton Boyer and published by . This book was released on 1908 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:


NBS Special Publication

NBS Special Publication

Author:

Publisher:

Published: 1974

Total Pages: 180

ISBN-13:

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Book Synopsis NBS Special Publication by :

Download or read book NBS Special Publication written by and published by . This book was released on 1974 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:


On the Correspondence Between Relaxation and Rate Characteristics in Plastic Extension

On the Correspondence Between Relaxation and Rate Characteristics in Plastic Extension

Author: L. I. Vasilyev

Publisher:

Published: 1954

Total Pages: 2

ISBN-13:

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Book Synopsis On the Correspondence Between Relaxation and Rate Characteristics in Plastic Extension by : L. I. Vasilyev

Download or read book On the Correspondence Between Relaxation and Rate Characteristics in Plastic Extension written by L. I. Vasilyev and published by . This book was released on 1954 with total page 2 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Tibetan Relaxation

Tibetan Relaxation

Author: Tarthang Tulku

Publisher: Duncan Baird Publishers

Published: 2004-01-30

Total Pages: 144

ISBN-13: 9781844830190

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The first illustrated guide to the yogic practice of Kum Nye by Lama Tarthang Tulku encompassing breathing techniques, massage and stretching exercises.


Book Synopsis Tibetan Relaxation by : Tarthang Tulku

Download or read book Tibetan Relaxation written by Tarthang Tulku and published by Duncan Baird Publishers. This book was released on 2004-01-30 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first illustrated guide to the yogic practice of Kum Nye by Lama Tarthang Tulku encompassing breathing techniques, massage and stretching exercises.


Relaxation Studies in the Muscular Discriminations Required for Touch, Agility and Expression in Pianoforte Playing

Relaxation Studies in the Muscular Discriminations Required for Touch, Agility and Expression in Pianoforte Playing

Author: Tobias Matthay

Publisher:

Published: 1908

Total Pages: 162

ISBN-13:

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Book Synopsis Relaxation Studies in the Muscular Discriminations Required for Touch, Agility and Expression in Pianoforte Playing by : Tobias Matthay

Download or read book Relaxation Studies in the Muscular Discriminations Required for Touch, Agility and Expression in Pianoforte Playing written by Tobias Matthay and published by . This book was released on 1908 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Optimal Design through the Sub-Relaxation Method

Optimal Design through the Sub-Relaxation Method

Author: Pablo Pedregal

Publisher: Springer

Published: 2016-09-01

Total Pages: 139

ISBN-13: 3319411594

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This book provides a comprehensive guide to analyzing and solving optimal design problems in continuous media by means of the so-called sub-relaxation method. Though the underlying ideas are borrowed from other, more classical approaches, here they are used and organized in a novel way, yielding a distinct perspective on how to approach this kind of optimization problems. Starting with a discussion of the background motivation, the book broadly explains the sub-relaxation method in general terms, helping readers to grasp, from the very beginning, the driving idea and where the text is heading. In addition to the analytical content of the method, it examines practical issues like optimality and numerical approximation. Though the primary focus is on the development of the method for the conductivity context, the book’s final two chapters explore several extensions of the method to other problems, as well as formal proofs. The text can be used for a graduate course in optimal design, even if the method would require some familiarity with the main analytical issues associated with this type of problems. This can be addressed with the help of the provided bibliography.


Book Synopsis Optimal Design through the Sub-Relaxation Method by : Pablo Pedregal

Download or read book Optimal Design through the Sub-Relaxation Method written by Pablo Pedregal and published by Springer. This book was released on 2016-09-01 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive guide to analyzing and solving optimal design problems in continuous media by means of the so-called sub-relaxation method. Though the underlying ideas are borrowed from other, more classical approaches, here they are used and organized in a novel way, yielding a distinct perspective on how to approach this kind of optimization problems. Starting with a discussion of the background motivation, the book broadly explains the sub-relaxation method in general terms, helping readers to grasp, from the very beginning, the driving idea and where the text is heading. In addition to the analytical content of the method, it examines practical issues like optimality and numerical approximation. Though the primary focus is on the development of the method for the conductivity context, the book’s final two chapters explore several extensions of the method to other problems, as well as formal proofs. The text can be used for a graduate course in optimal design, even if the method would require some familiarity with the main analytical issues associated with this type of problems. This can be addressed with the help of the provided bibliography.


Advanced Mechanical Models of DNA Elasticity

Advanced Mechanical Models of DNA Elasticity

Author: Yakov M Tseytlin

Publisher: Academic Press

Published: 2016-04-08

Total Pages: 318

ISBN-13: 0128020369

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Advanced Mechanical Models of DNA Elasticity includes coverage on 17 different DNA models and the role of elasticity in biological functions with extensive references. The novel advanced helicoidal model described reflects the direct connection between the molecule helix structure and its specific properties, including nonlinear features and transitions. It provides an introduction to the state of the field of DNA mechanics, known and widely used models with their short analysis, as well as coverage on experimental methods and data, the influence of electrical, magnetic, ionic conditions on the persistence length, and dynamics with viscosity influence. It then addresses the need to understand the nature of the non-linear overstretching transition of DNA under force and why DNA has a negative twist-stretch coupling. Includes coverage of 17 contemporary models of DNA mechanics with analysis Provides comparison of DNA and RNA mechanical features Covers advances in experimental techniques including AFM, X-ray, and optical tweezers Contains extensive references for further reading


Book Synopsis Advanced Mechanical Models of DNA Elasticity by : Yakov M Tseytlin

Download or read book Advanced Mechanical Models of DNA Elasticity written by Yakov M Tseytlin and published by Academic Press. This book was released on 2016-04-08 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Mechanical Models of DNA Elasticity includes coverage on 17 different DNA models and the role of elasticity in biological functions with extensive references. The novel advanced helicoidal model described reflects the direct connection between the molecule helix structure and its specific properties, including nonlinear features and transitions. It provides an introduction to the state of the field of DNA mechanics, known and widely used models with their short analysis, as well as coverage on experimental methods and data, the influence of electrical, magnetic, ionic conditions on the persistence length, and dynamics with viscosity influence. It then addresses the need to understand the nature of the non-linear overstretching transition of DNA under force and why DNA has a negative twist-stretch coupling. Includes coverage of 17 contemporary models of DNA mechanics with analysis Provides comparison of DNA and RNA mechanical features Covers advances in experimental techniques including AFM, X-ray, and optical tweezers Contains extensive references for further reading


Cell Growth and Cell Division

Cell Growth and Cell Division

Author: R. J. C. Harris

Publisher: Academic Press

Published: 2014-07-15

Total Pages: 352

ISBN-13: 1483282007

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Cell Growth and Cell Division is a collection of papers dealing with the biochemical and cytological aspects of cell development and changes in bacterial, plant, and animal systems. One paper discusses studies on the nuclear and cytoplasmic growth of ten different strains of the genus Blepharisma, in which different types of nutrition at high and low temperatures alter the species to the extent that they became morphologically indistinguishable. The paper describes the onset of death at high and low temperatures as being preceded by a decrease in the size of the cytoplasm and a corresponding decrease in the size of the macronucleus. The moribund organisms, still possessing structure, are motionless with no distinguishable macronuclear materials. Another paper presents the response of meiotic and mitotic cells to azaguanine, chloramphenicol, ethionine, and 5-methyltryptophan. The paper describes the failure of spindle action, arrest of second division, inhibition of cytokinesis, aberrant wall synthesis, and alterations in chromosome morphology in meiosis cells. In the case of mitosis, a single enzyme—thymidine phosphorylase—shows that reagents which inhibit protein synthesis also inhibit the appearance of that enzyme if the reagent is applied one day before it normally appears. Other papers discuss control mechanisms for chromosome reproduction in the cell cycle, as well as the force of cleavage of the dividing sea urchin egg. The collection can prove valuable for bio-chemists, cellular biologists, micro-biologists, and developmental biologists.


Book Synopsis Cell Growth and Cell Division by : R. J. C. Harris

Download or read book Cell Growth and Cell Division written by R. J. C. Harris and published by Academic Press. This book was released on 2014-07-15 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cell Growth and Cell Division is a collection of papers dealing with the biochemical and cytological aspects of cell development and changes in bacterial, plant, and animal systems. One paper discusses studies on the nuclear and cytoplasmic growth of ten different strains of the genus Blepharisma, in which different types of nutrition at high and low temperatures alter the species to the extent that they became morphologically indistinguishable. The paper describes the onset of death at high and low temperatures as being preceded by a decrease in the size of the cytoplasm and a corresponding decrease in the size of the macronucleus. The moribund organisms, still possessing structure, are motionless with no distinguishable macronuclear materials. Another paper presents the response of meiotic and mitotic cells to azaguanine, chloramphenicol, ethionine, and 5-methyltryptophan. The paper describes the failure of spindle action, arrest of second division, inhibition of cytokinesis, aberrant wall synthesis, and alterations in chromosome morphology in meiosis cells. In the case of mitosis, a single enzyme—thymidine phosphorylase—shows that reagents which inhibit protein synthesis also inhibit the appearance of that enzyme if the reagent is applied one day before it normally appears. Other papers discuss control mechanisms for chromosome reproduction in the cell cycle, as well as the force of cleavage of the dividing sea urchin egg. The collection can prove valuable for bio-chemists, cellular biologists, micro-biologists, and developmental biologists.