| 单词 | standard basis |
| 释义 | > as lemmasstandard basis standard basis n. Mathematics (in a vector space) a basis (basis n. Additions) consisting of all vectors having a single coordinate equal to 1 and no other non-zero coordinates; (also) a basis of an analogous form in a vector space of matrices, polynomials, etc. ΚΠ 1953 Communications Pure & Appl. Math. 6 265 In terms of the standard basis(eii) (i, j = 1, ... , 2r) of the ring of square matrices of order 2r, we define e. 1958 L. C. A. Corsten Vectors i. 5 As this basis will be used frequently, we call it the standard basis of this space. 1989 College Math. Jrnl. 20 230 There is a simple expression for the matrix [of rotation] in the standard basis which depends only on the coordinates of p and the angle θ. 2007 T. S. Shores Appl. Linear Algebra & Matrix Anal. iii. 175 It is very easy to write out any other vector..in terms of the standard basis. < as lemmas |
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