Analytic and Algebraic Dependence of Meromorphic Functions, Aldo Andreotti; Wilhelm Stoll
Автор: Pei-Chu Hu; Chung-Chun Yang Название: Meromorphic Functions over Non-Archimedean Fields ISBN: 0792365321 ISBN-13(EAN): 9780792365327 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introduces value distribution theory over non-Archimedean fields, starting with a survey of two Nevanlinna-type main theorems and defect relations for meromorphic functions and holomorphic curves. This book is useful to graduate students working in complex or diophantine approximation as well as to researchers involved in the fields of analysis.
Автор: Pei-Chu Hu; Ping Li; Chung-Chun Yang Название: Unicity of Meromorphic Mappings ISBN: 1441952438 ISBN-13(EAN): 9781441952431 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: For instance, they proved that if 1 and 9 are two nonconstant entire functions and 8 , 82 and 83 are three distinctive finite sets such 1 1 that 1- (8 ) = g-1(8 ) CM for i = 1,2,3, then 1 = g.
Описание: Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. This book presents the classical theory of meromorphic systems of ODE, in the light of the achievements in the theory of summability of formal power series.
Автор: Pei-Chu Hu; Ping Li; Chung-Chun Yang Название: Unicity of Meromorphic Mappings ISBN: 1402012195 ISBN-13(EAN): 9781402012198 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introduces value distribution theory starting with a survey of two Nevanlinna-type main theorems and defect relations for meromorphic mappings from parabolic manifolds into projective spaces. The unicity theory of meromorphic functions or mappings is discussed and the discussion also covers value distribution theory of algebroid functions.
The purpose of this monograph is two-fold: it introduces a conceptual language for the geometrical objects underlying Painleve equations, and it offers new results on a particular Painleve III equation of type PIII (D6), called PIII (0, 0, 4, -4), describing its relation to isomonodromic families of vector bundles on P1 with meromorphic connections. This equation is equivalent to the radial sine (or sinh) Gordon equation and, as such, it appears widely in geometry and physics. It is used here as a very concrete and classical illustration of the modern theory of vector bundles with meromorphic connections.
Complex multi-valued solutions on C* are the natural context for most of the monograph, but in the last four chapters real solutions on R>0 (with or without singularities) are addressed. These provide examples of variations of TERP structures, which are related to tt∗ geometry and harmonic bundles.
As an application, a new global picture o0 is given.
Автор: Manuel ?beda Flores; Enrique de Amo Artero; Fabriz Название: Copulas and Dependence Models with Applications ISBN: 3319642200 ISBN-13(EAN): 9783319642208 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents contributions and review articles on the theory of copulas and their applications.
Автор: Tobias Schwedes; David A. Ham; Simon W. Funke; Mat Название: Mesh Dependence in PDE-Constrained Optimisation ISBN: 3319594826 ISBN-13(EAN): 9783319594828 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book provides an introduction to PDE-constrained optimisation using finite elements and the adjoint approach. The practical impact of the mathematical insights presented here are demonstrated using the realistic scenario of the optimal placement of marine power turbines, thereby illustrating the real-world relevance of best-practice Hilbert space aware approaches to PDE-constrained optimisation problems.
Many optimisation problems that arise in a real-world context are constrained by partial differential equations (PDEs). That is, the system whose configuration is to be optimised follows physical laws given by PDEs. This book describes general Hilbert space formulations of optimisation algorithms, thereby facilitating optimisations whose controls are functions of space. It demonstrates the importance of methods that respect the Hilbert space structure of the problem by analysing the mathematical drawbacks of failing to do so. The approaches considered are illustrated using the optimisation problem arising in tidal array layouts mentioned above.
This book will be useful to readers from engineering, computer science, mathematics and physics backgrounds interested in PDE-constrained optimisation and their real-world applications.
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