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From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems – eBook PDF

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eBook details

  • Author: Daizhan Cheng
  • File Size: 3 MB
  • Format: PDF
  • Length: 353 Pages
  • Publisher: Academic Press; 1st edition
  • Publication Date: May 18, 2019
  • Language: English
  • ASIN: B07RZQ94QS
  • ISBN-10: 0128178019, 0128178027
  • ISBN-13: 9780128178010, 9780128178027

Description

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems – eBook PDF

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems, (PDF) reflects the primary 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 include prominently across many disciplines, and through innovative applications, its newly developed theory can transform large data systems such as genomics and biosystems, IT, deep learning, and information-based engineering applications.

  • Provides potential applications to the analysis and control of new dimension-varying systems.
  • Offers, for the first time, cross-dimensional system theory that is useful for modeling dimension-varying systems.
  • Explores the underlying mathematics of semi-tensor product, including the equivalence and lattice structure of matrices and monoid of matrices with arbitrary dimensions.

Review

Dimension-free matrix theory and the cross-dimensional dynamic system theory presented in this ebook may be useful tools to manage and even model dimension-varying systems. The aimed application areas are (i) genetic regulatory networks, where cells may die or be born at any time; (ii) some engineering applications, the modeling of spacecraft systems and vehicle clutch systems; (iii) the internet or some other service-based networks, where some users may join in or withdraw from time to time; etc. The results in the ebook are new. This ebook starts a new direction for further study.” — Mathematical Reviews Clippings

NOTE: The product only includes the ebook, From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems in PDF. No access codes are included.

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems – eBook PDF

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