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

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems, (PDF) displays the first arithmetic of semi-tensor product (STP), a generalized matrix product that extends the standard matrix product to two matrices of arbitrary dimensions. Dimension-varying methods embody prominently throughout many disciplines, and thru revolutionary functions, its newly developed principle can remodel massive knowledge methods corresponding to genomics and biosystems, IT, deep studying, and knowledge-based mostly engineering functions.

• Provides potential functions to the evaluation and management of latest dimension-various methods.
• Offers, for the primary time, cross-dimensional system principle that’s helpful for modeling dimension-various methods.
• Explores the underlying arithmetic of semi-tensor product, together with the equivalence and lattice construction of matrices and monoid of matrices with arbitrary dimensions.

Review

“Dimension-free matrix principle and the cross-dimensional dynamic system principle introduced on this ebook could also be helpful instruments to handle and even mannequin dimension-various methods. The aimed software areas are (i) genetic regulatory networks, the place cells could die or be born at any time; (ii) some engineering functions, the modeling of spacecraft methods and car clutch methods; (iii) the web or another service-based mostly networks, the place some customers could take part or withdraw from time to time; and so forth. The leads to the ebook are new. This ebook begins a brand new course for additional research.” — Mathematical Reviews Clippings NOTE: The product only consists of the ebook, From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems in PDF. No access codes are included.