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From dimension-free matrix theory to cross -dimensional dynamic systems /
"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 promi...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London, United Kingdom ; San Diego, CA, United States :
Academic Press, an imprint of Elsevier,
[2019]
|
| Colección: | Mathematics in science and engineering.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_on1102049109 | ||
| 003 | OCoLC | ||
| 005 | 20231120010353.0 | ||
| 006 | m o d | ||
| 007 | cr bnu|||unuuu | ||
| 008 | 190522s2019 enka ob 001 0 eng d | ||
| 040 | |a N$T |b eng |e rda |e pn |c N$T |d N$T |d EBLCP |d OPELS |d OCLCF |d UKAHL |d OCLCQ |d NHM |d S2H |d OCLCO |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO | ||
| 020 | |a 9780128178027 |q (electronic bk. ; |q ePub) | ||
| 020 | |a 0128178027 |q (electronic bk. ; |q ePub) | ||
| 020 | |z 9780128178010 |q (print) | ||
| 020 | |z 0128178019 |q (print) | ||
| 035 | |a (OCoLC)1102049109 | ||
| 050 | 4 | |a QA845 | |
| 050 | 4 | |a QA188 |b .C46 2019e | |
| 072 | 7 | |a SCI |x 041000 |2 bisacsh | |
| 072 | 7 | |a SCI |x 096000 |2 bisacsh | |
| 082 | 0 | 4 | |a 531.11 |2 23 |
| 100 | 1 | |a Cheng, Daizhan, |e author. | |
| 245 | 1 | 0 | |a From dimension-free matrix theory to cross -dimensional dynamic systems / |c Daizhan Cheng. |
| 264 | 1 | |a London, United Kingdom ; |a San Diego, CA, United States : |b Academic Press, an imprint of Elsevier, |c [2019] | |
| 300 | |a 1 online resource (xix, 343 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Mathematics in Science and Engineering | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Online resource; title from digital title page (ScienceDirect, viewed July 14, 2020). | |
| 520 | |a "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."--Provided by publisher | ||
| 505 | 0 | |a Semi-tensor product of matrices -- Boolean networks -- Finite games -- Equivalence and lattice structures -- Topological structure on quotient space -- Differential geometry on set of matrices -- Cross-dimensional Lie algebra and Lie group -- Second matrix-matrix semi-tensor product -- Structure on set of vectors -- Dimension-varying linear system -- Dimension-varying linear control system -- Generalized dynamic systems -- Dimension-varying nonlinear dynamic systems. | |
| 650 | 0 | |a Matrices. | |
| 650 | 0 | |a Lie algebras. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 0 | |a Dynamics. | |
| 650 | 0 | |a Tensor products. | |
| 650 | 6 | |a Matrices. |0 (CaQQLa)201-0024157 | |
| 650 | 6 | |a Alg�ebres de Lie. |0 (CaQQLa)201-0025324 | |
| 650 | 6 | |a Groupes de Lie. |0 (CaQQLa)201-0025325 | |
| 650 | 6 | |a Dynamique. |0 (CaQQLa)201-0009968 | |
| 650 | 6 | |a Produits tensoriels. |0 (CaQQLa)201-0030333 | |
| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Mechanics |x Solids. |2 bisacsh | |
| 650 | 7 | |a Matrices |2 fast |0 (OCoLC)fst01012399 | |
| 650 | 7 | |a Tensor products |2 fast |0 (OCoLC)fst01147728 | |
| 650 | 7 | |a Dynamics |2 fast |0 (OCoLC)fst00900295 | |
| 650 | 7 | |a Lie algebras |2 fast |0 (OCoLC)fst00998125 | |
| 650 | 7 | |a Lie groups |2 fast |0 (OCoLC)fst00998135 | |
| 776 | 0 | 8 | |i Print version: |a Cheng, Daizhan. |t From dimension-free matrix theory to cross -dimensional dynamic systems. |d London, United Kingdom : Elsevier Academic Press, [2019] |z 0128178019 |w (OCoLC)1065720728 |
| 830 | 0 | |a Mathematics in science and engineering. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780128178010 |z Texto completo |