basis of vector space 向量空间基底 on a basis of adv.以...为基础 distribution on a reciprocal basis 交互分配法 value of a basis point 基点价值指当殖利率(*rate of yield)变动一个基点时(即万分之一),每百元面额的债券其价格变动的金额。此价值可用以衡量债券的利率风险。 price on a uniform...
How to Find the Basis of a Vector Space Properties of Basis Coordinates of a Vector Over a Basis Change of Basis Lesson SummaryShow Frequently Asked Questions What is meant by base vector? A base vector, or basis vector, is a vector contained in the basis of a vector space. The numbe...
I of course had known before that Tr(AB)=Tr(BA) but I do not think I ever really saw trace in this context as a bilinear operator though I may have read it before somewhere. In any case, where I read it today, it was presented for a vector space corresponding to a field ...
the number of vectors in a basis for a vector space v ⊆ r n is called the dimension of v , denoted dim v . example 5 : since the standard basis for r 2 , { i, j }, contains exactly 2 vectors, every basis for r 2 contains exactly 2 vectors, so dim r 2 = 2. similarly...
BASIS FOR A VECTOR SPACEdoi:10.1142/9789811220418_0007Topics:basis, dimension…Exercises and Problems in Linear AlgebraJohn M. ErdmanPortland State University, USA
To understand a basis: independent vectors that "span the space". Every vector in the space is a unique combination of the basis vectors. Four essential ideas in this section are: Independent vectors (no extra vectors) Spanning a space (enough vectors to produce the rest) Basis for a sp...
basis of a vector module矢量模的基底 on a regular basisa. 1.经常 2.例行的 3.有规律的 on a scheduled basis【经】 按照预定日程的方式, 暂不付款, 帐款结算 相似单词 voluntarya. 1. 自愿的,故意的,志愿的 2. 非官办的,自发的 n. 即兴演奏,自愿者 ...
三维空间中,如果有 2 个 vectors,则它们的线性组合形成的 span 为该维空间中的一个平面;如果有 3 个 vectors,且每一个 vector 和另外 2 个所组成的 span 不在同一个平面上,则这 3 个 vectors 可以构造三维空间中任意一个向量。 可以想象一下,当你引入并不断变换第三个向量(拉伸、翻转、压缩),它会把前...
(of a vector space) a maximal set of linearly independent vectors, in terms of which all the elements of the space are uniquely expressible, and the number of which is the dimension of the space: the vectors x, y, and z form a basis of the 3-dimensional space all members of which ...
The nurse is paid on an hourly basis. He was chosen on the basis of his college grades. Mathematics.a set of linearly independent elements of a given vector space having the property that every element of the space can be written as a linear combination of the elements of the set. ...