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190522s2019 enka ob 001 0 eng d |
020 |
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|a9780128178027 (electronic bk.)
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|a0128178027 (electronic bk.)
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|a9780128178010 (print)
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|a0128178019 (print)
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|aN$T|beng|epn|cN$T|dN$T|dEBLCP|dOPELS|dOCLCF|dUKAHL|dOCLCQ|dNHM|dS2H|dOCLCO
|
041 |
0
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|aeng
|
050 |
4
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|aQA845
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050 |
4
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|aQA188|b.C46 2019e
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082 |
04
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|a531.11|223
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095 |
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|aNF|tLCC|p|dQA845|e|c
|
100 |
1
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|aCheng, Daizhan,|eauthor.
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245 |
10
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|aFrom dimension-free matrix theory to cross -dimensional dynamic systems|h[electronic resource] /|cDaizhan Cheng.
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260 |
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|aLondon, United Kingdom ;|aSan Diego, CA, United States :|bAcademic Press, an imprint of Elsevier,|c2019.
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300 |
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|a1 online resource (xix, 343 p.) :|bill.
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490 |
1
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|aMathematics in Science and Engineering
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504 |
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|aIncludes bibliographical references and index.
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505 |
0
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|aSemi-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.
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520 |
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|a"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.
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588 |
0
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|aOnline resource; title from digital title page (ScienceDirect, viewed July 14, 2020).
|
650 |
0
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|aMatrices.
|
650 |
0
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|aLie algebras.
|
650 |
0
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|aLie groups.
|
650 |
0
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|aDynamics.
|
650 |
0
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|aTensor products.
|
650 |
7
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|aSCIENCE|xMechanics|xGeneral.|2bisacsh
|
650 |
7
|
|aSCIENCE|xMechanics|xSolids.|2bisacsh
|
650 |
7
|
|aMatrices.|2fast|0(OCoLC)fst01012399
|
650 |
7
|
|aTensor products.|2fast|0(OCoLC)fst01147728
|
650 |
7
|
|aDynamics.|2fast|0(OCoLC)fst00900295
|
650 |
7
|
|aLie algebras.|2fast|0(OCoLC)fst00998125
|
650 |
7
|
|aLie groups.|2fast|0(OCoLC)fst00998135
|
655 |
0
|
|aElectronic books.
|
655 |
4
|
|aElectronic books.
|
830 |
0
|
|aMathematics in science and engineering.
|
856 |
40
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|uhttps://www.sciencedirect.com/science/book/9780128178010
|