From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems
Series: Mathematics in Science and Engineering;
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51 559 Ft
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Product details:
- Publisher Elsevier Science
- Date of Publication 21 May 2019
- ISBN 9780128178010
- Binding Paperback
- No. of pages364 pages
- Size 228x152 mm
- Weight 590 g
- Language English 0
Categories
Long description:
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.
MoreTable of Contents:
1. Semi-tensor product of matrices2. Boolean networks3. Finite games4. Equivalence and lattice structures5. Topological structure on quotient space6. Differential geometry on set of matrices7. Cross-dimensional Lie algebra and Lie group8. Second matrix-matrix semi-tensor product9. Structure on set of vectors10. Dimension-varying linear system11. Dimension-varying linear control system12. Generalized dynamic systems13. Dimension-varying nonlinear dynamic systemsA. Mathematical preliminaries
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