dual vector space里面的元素是vector space上的线性函数。设V是一个vector space，V^{*}是其dual vector space，对于a \in V^{*},a ：V \to \mathbb{R}是一个V上的线性函数。如果V是有限维的，那么V^{**}\simeq V,即对偶的对偶就是自身。假设e_1,e_2,...,e_n是V的一组基，那么我们可以得到...
在范畴论中, 表示两个对象之间的态射。 的对偶,就是指 , 的位置视情况而定,所以对偶的方式不是唯一的。 对象 在 意义下的对偶 ,我觉得可以看成用 去“衡量” ,简而言之是 的尺子。 什么是尺子的哲学呢?尺子拥有被测量的对象所公共拥有的性质(这种共性,似乎也在暗示着对象于对象的对偶之间似乎存在同一性)...
dual vector space 英 [ˈdjuːəl ˈvektə(r) speɪs] 美 [ˈduːəl ˈvektər speɪs]网络 对偶向量空间
在数学里，任何向量空间V都有其对应的对偶向量空间（或简称为对偶空间），由V的线性泛函组成。此对偶空间俱有一般向量空间的结构，像是向量加法及标量乘法。由此定义的对偶空间也可称之为代数对偶空间。在拓扑向量空间的情况下，由连续的线性泛函组成的对偶空间则称之为连续对偶空间。对偶空间是行向量（1...
Dual vector spaces - Ornstein - 1959 () Citation Context ...s well-known : if L is the modular lattice of all subspaces of an infinite-dimensional vector space E then L has no anti-automorphism ([2], Self-duality theorem, page 97). This results is extended in =-=[13]-=- to ...
dual vector space 对偶向量空间 quasi dual space 拟对偶空间 dual of tangent space 对偶切空间 strong dual space 强对偶空间 dual measure space 对偶测度空间 self dual linear space 自对偶线性空间 be on space 投稿为生 in space 片刻,马上,一会儿 in the space of 在…时间内 相似...
This paper proposes a dual-space vector control scheme for the open-end winding permanent magnet synchronous motor (OEW-PMSM) drive fed by the dual inverter with a single dc supply. Potential zero-sequence current in the open-end winding drive system has to be considered since it causes circul...
Note now that if take an arbitrary symmetric bilinear operator ⟨,⟩ on a vector space V with basis e1,e2,…,en , the dual basis is defined to be the e1∗,e2∗…,en∗ such that eiej∗=δij . We now solve for these dual basis element in the following fashion: Let ej...
Dual systems of vector fields derived from the Dirac theory on curved spacetimes A new theory of free vector fields on curved backgrounds is proposed considering systems of fields which are components of some general fields with values in the algebra of Dirac matrices. The general fields satisfy ...
A space vector based space vector pulse width modulation (SVM) is proposed in this paper for the 4-leg VSI by decomposing it into a dual single phase full-bridge VSIs. The switching algorithm is envisaged by exploiting the principles of SVM of three-phase VSIs. The implementation of the ...