E-Books →From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems (Mathematics in Science and Engineering)
Published by: freedown on 3-01-2020, 13:49 | 0
From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems (Mathematics in Science and Engineering)
June 4, 2019 | ISBN: 978-0128178010 | English | 364 pages | PDF | 2.7 MB
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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