عنوان
پدید آورنده
موضوع
رده
QA188 .C46 2019e
QA188
.
C46
2019e
کتابخانه
محل استقرار
0128178027
9780128178027
0128178019
9780128178010
From dimension-free matrix theory to cross -dimensional dynamic systems /
[Book]
Daizhan Cheng.
San Diego, CA, United States :
Academic Press, an imprint of Elsevier,
[2019]
1 online resource (xix, 343 pages) :
illustrations
Mathematics in Science and Engineering
Includes bibliographical references and index.
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.
0
"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.
From dimension-free matrix theory to cross -dimensional dynamic systems.
0128178019
Dynamics.
Lie algebras.
Lie groups.
Matrices.
Tensor products.
Dynamics.
Lie algebras.
Lie groups.
Matrices.
SCIENCE-- Mechanics-- General.
SCIENCE-- Mechanics-- Solids.
Tensor products.
SCI-- 041000
SCI-- 096000
531
.
11
23
QA188
QA845
.
C46
2019e
Cheng, Daizhan
20200822085256.0
pn
مطالعه متن کتاب [Book]
Y
