Academic Press; 1st edition
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 traditional matrix product to two matrices of arbitrary dimensions. Dimension-varying techniques include prominently throughout many disciplines; and thru progressive functions; its newly developed idea can rework giant knowledge techniques corresponding to genomics and biosystems; IT; deep studying; and knowledge-based mostly engineering functions.
- Provides potential functions to the evaluation and management of recent dimension-various techniques.
- Offers; for the primary time; cross-dimensional system idea that’s helpful for modeling dimension-various techniques.
- Explores the underlying arithmetic of semi-tensor product; together with the equivalence and lattice construction of matrices and monoid of matrices with arbitrary dimensions.
“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 solely consists of the ebook; From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems in PDF. No access codes are included.