عنوان
پدید آورنده
موضوع
رده
QA188 .C46 2019e
QA188
.
C46
2019e
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0128178027
(Number (ISBN
9780128178027
Erroneous ISBN
0128178019
Erroneous ISBN
9780128178010
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
From dimension-free matrix theory to cross -dimensional dynamic systems /
General Material Designation
[Book]
First Statement of Responsibility
Daizhan Cheng.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
San Diego, CA, United States :
Name of Publisher, Distributor, etc.
Academic Press, an imprint of Elsevier,
Date of Publication, Distribution, etc.
[2019]
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xix, 343 pages) :
Other Physical Details
illustrations
SERIES
Series Title
Mathematics in Science and Engineering
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Semi-tensor product of matrices -- Boolean networks -- Finite games -- Equivalence and lattice structures -- Topological structure on quotient space -- Differential geometry on set of matrices -- Cross-dimensional Lie algebra and Lie group -- Second matrix-matrix semi-tensor product -- Structure on set of vectors -- Dimension-varying linear system -- Dimension-varying linear control system -- Generalized dynamic systems -- Dimension-varying nonlinear dynamic systems.
0
SUMMARY OR ABSTRACT
Text of Note
"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."--Provided by publisher.
OTHER EDITION IN ANOTHER MEDIUM
Title
From dimension-free matrix theory to cross -dimensional dynamic systems.
International Standard Book Number
0128178019
TOPICAL NAME USED AS SUBJECT
Dynamics.
Lie algebras.
Lie groups.
Matrices.
Tensor products.
Dynamics.
Lie algebras.
Lie groups.
Matrices.
SCIENCE-- Mechanics-- General.
SCIENCE-- Mechanics-- Solids.
Tensor products.
(SUBJECT CATEGORY (Provisional
SCI-- 041000
SCI-- 096000
DEWEY DECIMAL CLASSIFICATION
Number
531
.
11
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA188
Class number
QA845
Book number
.
C46
2019e
PERSONAL NAME - PRIMARY RESPONSIBILITY
Cheng, Daizhan
ORIGINATING SOURCE
Date of Transaction
20200822085256.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
