From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems
暫譯: 從無維矩陣理論到跨維動態系統
Cheng, Daizhan
- 出版商: Academic Press
- 出版日期: 2019-06-05
- 售價: $5,370
- 貴賓價: 9.5 折 $5,102
- 語言: 英文
- 頁數: 364
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0128178019
- ISBN-13: 9780128178010
海外代購書籍(需單獨結帳)
商品描述
From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems illuminates the underlying mathematics of semi-tensor product, a generalized matrix product that extends the conventional matrix product to two matrices of arbitrary dimensions. As dimension-varying systems are everywhere, this newly developed theory can revolutionize large data systems, such as genomics and bio-systems, 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
- Includes a brand new dimension-free matrix theory and cross-dimensional dynamic system theory
- Investigates the underlying mathematics of semi-tensor product, including the equivalence and lattice structure of matrices and monoid (semi-group with identity) of matrices with arbitrary dimensions
商品描述(中文翻譯)
《從無維矩陣理論到跨維動態系統》揭示了半張量積的基本數學，這是一種將傳統矩陣乘法擴展到任意維度的兩個矩陣的廣義矩陣乘法。由於變維系統無處不在，這一新開發的理論可以徹底改變大型數據系統，如基因組學和生物系統、深度學習、IT及基於信息的工程應用。
- 首次提供對於建模變維系統有用的跨維系統理論
- 包含全新的無維矩陣理論和跨維動態系統理論
- 探討半張量積的基本數學，包括任意維度矩陣的等價性和格結構，以及具有單位元的矩陣的單元（半群）
