From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems (e-bok)

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Format: E-bok
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Språk: Engelska
Antal sidor: 364
Utgivningsdatum: 2019-05-18
Förlag: Elsevier Science
ISBN: 9780128178027

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

Name: From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems
Price: 2143.00 SEK
Availability: InStock
Author: Daizhan Cheng
ISBN: 9780128178027

av Daizhan Cheng

E-bok (LCP), Engelska, 2019-05-18

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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.

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