From Dimension Free Matrix Theory to Cross Dimensional Dynamic Systems Book

From Dimension Free Matrix Theory to Cross Dimensional Dynamic Systems


  • Author : Daizhan Cheng
  • Publisher : Academic Press
  • Release Date : 2019-05-18
  • Genre: Mathematics
  • Pages : 364
  • ISBN 10 : 9780128178027

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From Dimension Free Matrix Theory to Cross Dimensional Dynamic Systems Excerpt :

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.

Modeling and Analysis of Dynamic Systems Book

Modeling and Analysis of Dynamic Systems


  • Author : Ramin S. Esfandiari
  • Publisher : CRC Press
  • Release Date : 2018-01-29
  • Genre: Technology & Engineering
  • Pages : 595
  • ISBN 10 : 9781351751643

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Modeling and Analysis of Dynamic Systems Excerpt :

Modeling and Analysis of Dynamic Systems, Third Edition introduces MATLAB®, Simulink®, and SimscapeTM and then utilizes them to perform symbolic, graphical, numerical, and simulation tasks. Written for senior level courses/modules, the textbook meticulously covers techniques for modeling a variety of engineering systems, methods of response analysis, and introductions to mechanical vibration, and to basic control systems. These features combine to provide students with a thorough knowledge of the mathematical modeling and analysis of dynamic systems. The Third Edition now includes Case Studies, expanded coverage of system identification, and updates to the computational tools included.

Structural Dynamic Systems Computational Techniques and Optimization Book

Structural Dynamic Systems Computational Techniques and Optimization


  • Author : Cornelius T. Leondes
  • Publisher : Routledge
  • Release Date : 2021-09-02
  • Genre: Mathematics
  • Pages : 395
  • ISBN 10 : 9781351413237

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Structural Dynamic Systems Computational Techniques and Optimization Excerpt :

The finite element, an approximation method for solving differential equations of mathematical physics, is a highly effective technique in the analysis and design, or synthesis, of structural dynamic systems. Starting from the system differential equations and its boundary conditions, what is referred to as a weak form of the problem (elaborated in the text) is developed in a variational sense. This variational statement is used to define elemental properties that may be written as matrices and vectors as well as to identify primary and secondary boundaries and all possible boundary conditions. Specific equilibrium problems are also solved. This book clearly reveals the effectiveness and great significance of the finite element method available and the essential role it will play in the future as further development occurs.

A Dynamical Approach to Random Matrix Theory Book

A Dynamical Approach to Random Matrix Theory


  • Author : László Erdős
  • Publisher : American Mathematical Soc.
  • Release Date : 2017-08-30
  • Genre: Random matrices
  • Pages : 226
  • ISBN 10 : 9781470436483

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A Dynamical Approach to Random Matrix Theory Excerpt :

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.

Echinoderms  Munchen Book

Echinoderms Munchen


  • Author : Thomas Heinzeller
  • Publisher : CRC Press
  • Release Date : 2005-12-08
  • Genre: Science
  • Pages : 664
  • ISBN 10 : 0415390370

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Echinoderms Munchen Excerpt :

Since 1972, scientists from all over the world working on fundamental questions of echinoderm biology and palaeontology have conferred every three years to exchange current views and results. The 11th International Echinoderm Conference held at the University of Munich, Germany, from 6-10 October 2003,continued this tradition. This volume comprises 95 submitted papers and 96 abstracts covering a wide spectrum from innovative student contributions to the lessons learnt from experienced specialists. The content of the contributions ranges from original research results to the latest synopses concerning a variety of topics, including visual sensing, larval cloning, mutable collagenous tissues, sea urchin aqua-culture, deuterostome phylogeny, palaeobiology and taphonomy.

High Energy Physics Index Book

High Energy Physics Index


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1992
  • Genre: Particles (Nuclear physics)
  • Pages : null
  • ISBN 10 : PSU:000052636363

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Nuclear Science Abstracts Book

Nuclear Science Abstracts


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1974
  • Genre: Nuclear energy
  • Pages : null
  • ISBN 10 : UOM:39015023544771

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Nuclear Science Abstracts Excerpt :

Applied Mechanics Reviews Book

Applied Mechanics Reviews


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1979
  • Genre: Mechanics, Applied
  • Pages : null
  • ISBN 10 : UIUC:30112008993229

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Compliant Mechanisms Book

Compliant Mechanisms


  • Author : Nicolae Lobontiu
  • Publisher : CRC Press
  • Release Date : 2020-11-19
  • Genre: Technology & Engineering
  • Pages : 546
  • ISBN 10 : 9780429527401

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Compliant Mechanisms Excerpt :

With a rigorous and comprehensive coverage, the second edition of Compliant Mechanisms: Design of Flexure Hinges provides practical answers to the design and analysis of devices that incorporate flexible hinges. Complex-shaped flexible-hinge mechanisms are generated from basic elastic segments by means of a bottom-up compliance (flexibility) approach. The same compliance method and the classical finite element analysis are utilized to study the quasi-static and dynamic performances of these compliant mechanisms. This book offers easy-to-use mathematical tools to investigate a wealth of flexible-hinge configurations and two- or three-dimensional compliant mechanism applications. FEATURES Introduces a bottom-up compliance-based approach to characterize the flexibility of new and existing flexible hinges of straight- and curvilinear-axis configurations Develops a consistent linear lumped-parameter compliance model to thoroughly describe the quasi-static and dynamic behavior of planar/spatial, serial/parallel flexible-hinge mechanisms Utilizes the finite element method to analyze the quasi-statics and dynamics of compliant mechanisms by means of straight- and curvilinear-axis flexible-hinge elements Covers miscellaneous topics such as stress concentration, yielding and related maximum load, precision of rotation of straight- and circular-axis flexible hinges, temperature effects on compliances, layered flexible hinges and piezoelectric actuation/sensing Offers multiple solved examples of flexible hinges and flexible-hinge mechanisms. This book should serve as a reference to students, researchers, academics and anyone interested to investigate precision flexible-hinge mechanisms by linear model-based methods in various areas of mechanical, aerospace or biomedical engineering, as well as in robotics and micro-/nanosystems.

NASA Tech Brief Book

NASA Tech Brief


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1970
  • Genre: Aeronautics
  • Pages : null
  • ISBN 10 : UIUC:30112027812194

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Elements of Applied Bifurcation Theory Book

Elements of Applied Bifurcation Theory


  • Author : Yuri Kuznetsov
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-09
  • Genre: Mathematics
  • Pages : 632
  • ISBN 10 : 9781475739787

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Elements of Applied Bifurcation Theory Excerpt :

Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.