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单词 null-space
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null-space
null-space n. Mathematics a space composed of all quantities that are transformed into zero by some given transformation.
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1884 A. Buchheim in London, Edinb., & Dublin Philos. Mag. 5th Ser. 18 459 A linear space of (α−1) dimensions will be called an α-point... A matrix A of order n is considered as operating on the coordinates of the points of an n-point... If A is of nullity α, the equation A(xlxn) = 0 is satisfied by all the points of a certain α-point, and conversely. I call this α-point the null space of A.
1941 G. Birkhoff & S. MacLane Surv. Mod. Algebra x. 268 The null-space of a linear transformation T is the set of all vectors ξ such that ξT = O. The null-space of a matrix A is the set of all row matrices X which satisfy the homogeneous linear equations XA = O.
1971 C. W. Curtis in M. B. Powell & G. Higman Finite Simple Groups iii. 171 F vanishes on the nullspace of α.
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