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词汇 Singular value
分类 英语词汇 英语翻译词典
释义

Singular value

原声例句
亨利·亚当斯的教育(下)

To an impartial student who gravely doubted whether the Czar himself acted as a conscious force or an inert weight, the straight-forward avowals of Roosevelt had singular value as a standard of measure.

对于一个严重怀疑沙皇本人是有意识的力量还是惰性砝码的公正学生来说,罗斯福直截了当的声明作为衡量标准具有独特的价值。

英语百科

Singular value

Visualisation of a singular value decomposition (SVD) of a 2-dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disc to an ellipse. The SVD decomposes M into three simple transformations: a rotation V*, a scaling Σ along the rotated coordinate axes and a second rotation U. Σ is a diagonal matrix containing in its diagonal the singular values of M, which represent the lengths σ1 and σ2 of the semi-axes of the ellipse.

In mathematics, in particular functional analysis, the singular values, or s-numbers of a compact operator T: XY acting between Hilbert spaces X and Y, are the square roots of the eigenvalues of the non-negative self-adjoint operator T*T: XX (where T* denotes the adjoint of T).

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