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

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems
  • Author : Daizhan Cheng
  • Publisher :Unknown
  • Release Date :2019-05-18
  • Total pages :364
  • ISBN : 9780128178027
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Summary : From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems illuminates the underlying mathematics of semi-tensor product (STP), a generalized matrix product that extends the conventional matrix product to two matrices of arbitrary dimensions. Dimension-varying systems feature prominently across many disciplines, and through innovative applications its newly developed theory can revolutionize large data systems such as genomics and biosystems, deep learning, IT, and information-based engineering applications. Provides, for the first time, cross-dimensional system theory that is useful for modeling dimension-varying systems. Offers potential applications to the analysis and control of new dimension-varying systems. Investigates the underlying mathematics of semi-tensor product, including the equivalence and lattice structure of matrices and monoid of matrices with arbitrary dimensions.

The Bulletin of Mathematics Books

The Bulletin of Mathematics Books
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1992
  • Total pages :229
  • ISBN : CORNELL:31924074863436
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Summary :

NASA Tech Brief

NASA Tech Brief
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1970
  • Total pages :229
  • ISBN : UIUC:30112027812194
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Summary :

Introduction to Applied Linear Algebra

Introduction to Applied Linear Algebra
  • Author : Stephen Boyd,Lieven Vandenberghe
  • Publisher :Unknown
  • Release Date :2018-06-07
  • Total pages :500
  • ISBN : 9781316518960
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Summary : A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

International Aerospace Abstracts

International Aerospace Abstracts
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1999
  • Total pages :229
  • ISBN : STANFORD:36105021811372
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Summary :

A Dynamical Approach to Random Matrix Theory

A Dynamical Approach to Random Matrix Theory
  • Author : László Erdős,Horng-Tzer Yau
  • Publisher :Unknown
  • Release Date :2017-08-30
  • Total pages :226
  • ISBN : 9781470436483
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Summary : A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York University This book is a concise and self-contained introduction of recent techniques to prove local spectral universality for large random matrices. Random matrix theory is a fast expanding research area, and this book mainly focuses on the methods that the authors participated in developing over the past few years. Many other interesting topics are not included, and neither are several new developments within the framework of these methods. The authors have chosen instead to present key concepts that they believe are the core of these methods and should be relevant for future applications. They keep technicalities to a minimum to make the book accessible to graduate students. With this in mind, they include in this book the basic notions and tools for high-dimensional analysis, such as large deviation, entropy, Dirichlet form, and the logarithmic Sobolev inequality. This manuscript has been developed and continuously improved over the last five years. The authors have taught this material in several regular graduate courses at Harvard, Munich, and Vienna, in addition to various summer schools and short courses. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

The University of Virginia Record

The University of Virginia Record
  • Author : University of Virginia
  • Publisher :Unknown
  • Release Date :1993
  • Total pages :229
  • ISBN : UVA:X002591177
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Summary :

Physics Briefs

Physics Briefs
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1991
  • Total pages :229
  • ISBN : UOM:39015015962759
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Summary :

High Energy Physics Index

High Energy Physics Index
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1994
  • Total pages :229
  • ISBN : PSU:000052636073
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Summary :

Journal of the American Helicopter Society

Journal of the American Helicopter Society
  • Author : American Helicopter Society
  • Publisher :Unknown
  • Release Date :1999
  • Total pages :229
  • ISBN : UVA:X006157664
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Summary :

The Dynamics of Marine Vehicles and Structures in Waves

The Dynamics of Marine Vehicles and Structures in Waves
  • Author : Richard Evelyn Donohue Bishop,W. G. Price,Institution of Mechanical Engineers (Great Britain),United States. Office of Naval Research,Royal Institution of Naval Architects
  • Publisher :Unknown
  • Release Date :1975
  • Total pages :448
  • ISBN : UCSD:31822012200978
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Summary :

CAD/CAM Abstracts

CAD/CAM Abstracts
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1992
  • Total pages :229
  • ISBN : UOM:39015023871588
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Summary :

Chemical Abstracts

Chemical Abstracts
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :2002
  • Total pages :229
  • ISBN : UOM:39015057324520
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Summary :

Dissertation Abstracts International

Dissertation Abstracts International
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :2007
  • Total pages :229
  • ISBN : STANFORD:36105123442563
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Summary :

Large Space Structures & Systems in the Space Station Era

Large Space Structures & Systems in the Space Station Era
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1993-03
  • Total pages :229
  • ISBN : UIUC:30112037982243
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Summary :

NASA SP.

NASA SP.
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1962
  • Total pages :229
  • ISBN : OSU:32435079706131
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Summary :

Mathematical Reviews

Mathematical Reviews
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :2000
  • Total pages :229
  • ISBN : UVA:X006089042
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Summary :

Abstract Journal in Earthquake Engineering

Abstract Journal in Earthquake Engineering
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1993
  • Total pages :229
  • ISBN : UIUC:30112119600051
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Summary :

Physics, Uspekhi

Physics, Uspekhi
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :2003
  • Total pages :229
  • ISBN : UOM:39015057324892
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Summary :

Journal of the American Statistical Association

Journal of the American Statistical Association
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1999
  • Total pages :229
  • ISBN : UCSD:31822023384258
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Summary :

Journal of Dynamic Systems, Measurement, and Control

Journal of Dynamic Systems, Measurement, and Control
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1999
  • Total pages :229
  • ISBN : UOM:39015048219060
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Summary :