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From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems illuminates the underlying mathematics of semi-tensor product (STP;

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Dimensions, Embeddings, and Attractors

in disparate fields: Lebesgue covering dimension (from classical 'dimension theory'), Hausdorff dimension (from geometric measure theory), upper box;

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High-Dimensional Probability

quantify uncertainty in high dimensions. Drawing on ideas from probability, analysis, and geometry, it lends itself to applications in mathematics;

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2018 Matrix Annals

Frontiers of High Dimensional Computation - Month of Mathematical Biology - Dynamics, Foliations, and Geometry In Dimension 3 - Recent;

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2018 MATRIX Annals

Frontiers of High Dimensional Computation - Month of Mathematical Biology - Dynamics, Foliations, and Geometry In Dimension 3 - Recent;

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Model Free Adaptive Control

Model Free Adaptive Control: Theory and Applications summarizes theory and applications of model-free adaptive control (MFAC). MFAC is a;

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Model Free Adaptive Control

Model Free Adaptive Control: Theory and Applications summarizes theory and applications of model-free adaptive control (MFAC). MFAC is a;

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High-Dimensional Covariance Matrix Estimation

setting, and introduces the basic concepts and major results related to spectral statistics and random matrix theory under high-dimensional;

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Control and Estimation of Systems with Input/Output Delays

betreatedby thein?nite-dimensional system theory which, however,leads to solutions in terms of Riccati type partial di? erential equations or;

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Random Matrices: High Dimensional Phenomena

behave on geometrical objects with large dimension. To prove such results for random matrices, the book develops the modern theory of optimal;

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Principles of Linear Systems

, observability, and stability of linear systems. A useful tutorial review of the key results from matrix theory and linear algebra is given in the;

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Principles of Linear Systems

, observability, and stability of linear systems. A useful tutorial review of the key results from matrix theory and linear algebra is given in the;

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J-Contractive Matrix Valued Functions and Related Topics

geometry of finite dimensional spaces with an indefinite inner product, and the theory of the Nevanlinna class of matrix valued functions with;

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Matrix Methods in the Design Analysis of Mechanisms and Multibody Systems

This book is an integrated approach to kinematic and dynamic analysis. The matrix techniques presented are general and fully applicable to;

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Spectral Theory Of Large Dimensional Random Matrices And Its Applications To Wireless Communications And Finance Statistics

The book contains three parts: Spectral theory of large dimensional random matrices; Applications to wireless communications; and;

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Ads/Cft Correspondence in Condensed Matter

) correspondence to condensed matter physicists. This theory relates a gravity theory in a (d+1)-dimensional anti-de Sitter space time to a strongly;

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Random Matrix Theory, Interacting Particle Systems, and Integrable Systems

contributions on all these topics, in addition to other core aspects of random matrix theory such as integrability and free probability theory. It will;

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Minimal Free Resolutions over Complete Intersections

This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions;

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Magnetism & Superconductivity in Low-Dimensional Systems

This book presents current research topics related to the physics of low-dimensional systems such as magnetic nanoparticles-proteins;

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Flexible Multibody System Dynamics

This book focuses on developing an all-purpose algorithm for the dynamic simulation of flexible treelike systems making use of matrix;

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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

metrics. Moreover, it introduces various types of Lyapunov dimensions of dynamical systems with respect to an invariant set, based on local;

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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

metrics. Moreover, it introduces various types of Lyapunov dimensions of dynamical systems with respect to an invariant set, based on local;

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Linear Groups

linear groups. The theory of finite dimensional linear groups is one of the best developed algebraic theories. The array of articles devoted to;

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Circuits, Matrices and Linear Vector Spaces

This high-level undergraduate text explains the mathematics behind basic circuit theory. Its self-contained treatment covers matrix algebra;

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Matrix Mathematics Theory, Facts, and Formulas Second Edition

theory to make this the most complete, current, and easy-to-use book on matrices. Each chapter describes relevant background theory followed by;

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Chaotic Dynamics of Nonlinear Systems

- and two-dimensional maps, universality theory, fractal dimension, differential and conservative dynamics, and other subjects. The text;

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Quantum Chaos

, random matrix theory, systems with periodic time dependences, the analogy between the dynamics of a one-dimensional gas with a repulsive;

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