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Tensor-Valued Random Fields for Continuum Physics

isotropic tensor-valued random fields (TRFs)? Previously, only the TRFs of rank 0 were completely described. This book assembles a complete;

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Random Fields of Piezoelectricity and Piezomagnetism

principles. On this basis, a statistical description of second-order (statistically) homogeneous and isotropic rank-3 tensor-valued random fields;

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Tensor Analysis for Engineers and Physicists - With Application to Continuum Mechanics, Turbulence, and Einstein's Special and General Theory of Relativity

of continuum mechanics and the turbulence physics prepares the reader for fully understanding the Einstein tensor equations, which exhibits one of the;

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Tensor Analysis With Applications In Mechanics

encountered in tensor discussions.A tensor field is a tensor-valued function of position in space. The use of tensor fields allows us to present;

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Tensor Analysis With Applications In Mechanics

encountered in tensor discussions.A tensor field is a tensor-valued function of position in space. The use of tensor fields allows us to present;

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Covariance and Gauge Invariance in Continuum Physics

electromagnetic potential and torsion tensor.;

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Tensor Analysis

Tensor analysis is an essential tool in any science (e.g. engineering, physics, mathematical biology) that employs a continuum description;

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Continuum Mechanics

of Mathematical Models provides a comprehensive foundation for mathematical models used in fluid mechanics, solid mechanics, and heat transfer. The book;

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Limit Theorems For Associated Random Fields And Related Systems

. Naturally, this scope comprises families of independent real-valued random variables. A variety of important results and examples of Markov;

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Tensor Network Contractions

of tensor network algorithms have been proposed for different problems. However, the connections among different algorithms are not well discussed;

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Colored Discrete Spaces

in higher dimension regarded triangulations, converging towards a continuum random tree, or gluings of simple building blocks of small sizes, for;

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Colored Discrete Spaces

in higher dimension regarded triangulations, converging towards a continuum random tree, or gluings of simple building blocks of small sizes, for;

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Mathematical Physics at Saint-Flour

Gross, Leonard: Thermodynamics, statistical mechanics, and random fields.-Foellmer, Hans: Random fields and diffusion processes.- Nelson;

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Methods of Bosonic & Fermionic Path Integrals Representations

(QCD, Chern-Simons Theory, Ising Models, etc.)- the called Random Geometry in Quantum Field Theory, which are hoped to be useful to graduate;

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Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables

After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed;

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Cambridge Tracts in Mathematics

Many phenomena in physics, chemistry, and biology can be modelled by spatial random processes. One such process is continuum percolation;

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Cambridge Tracts in Mathematics

Many phenomena in physics, chemistry, and biology can be modelled by spatial random processes. One such process is continuum percolation;

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Introduction to Tensor Calculus and Continuum Mechanics

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Theoretical And Mathematical Physics

and strategies required for problem solving. Teachers will also find this text useful as a supplement, since important concepts and techniques;

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Theoretical And Mathematical Physics

and strategies required for problem solving. Teachers will also find this text useful as a supplement, since important concepts and techniques;

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Matrix Calculus, Kronecker Product and Tensor Product - A Practical Approach to Linear Algebra, Multilinear Algebra and Tensor Calculus with Software Implementations (3rd Edition)

standard techniques for linear algebra, multilinear algebra and tensor calculus, many advanced topics are included where emphasis is placed on the;

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Infinite-Dimensional Manifolds

, derivatives, mean value theorem, manifolds, mappings of manifolds, scalar and vector fields, tensor products, tensor spaces, natural tensors, tensor;

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Tensor Operators & their Applications

geometry. This book is intended to provide a systematic introduction to the theory of tensor operators. This book is suitable for researchers, and;

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Hybrid Random Fields

an impractical approach to machine learning, assuming that they only work well for low-dimensional applications and discrete-valued domains;

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Differential Geometry And Kinematics Of Continua

This book provides definitions and mathematical derivations of fundamental relationships of tensor analysis encountered in nonlinear;

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Random And Vector Measures

The book is devoted to the structural analysis of vector and random (or both) valued countably additive measures, and used for integral;

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The Structures of Mathematical Physics

This textbook serves as an introduction to groups, rings, fields, vector and tensor spaces, algebras, topological spaces, differentiable;

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