英语词汇“Index of inertia”是什么意思，翻译、用法及简单造句-英汉双解词典-英汉网

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单词	Index of inertia
释义	Index of inertia 中文百科西尔维斯特惯性定理 Sylvester's law of inertia （重定向自Index of inertia）在代数学中，西尔维斯特惯性定理（Sylvester's law of inertia）是指在实数域中，一个形如 $a_{11}x_1^2+a_{12}x_1x_2+a_{13}x_1x_3+...+a_{nn}x_n^2$ 的二次型通过线性变换可以化简成惟一的标准型 $y_1^2+y_2^2+...+y_p^2-y_{p+1}^2-....-y_r^2$ 。其中的正项数（称为正惯性系数）、负项数（称为负惯性系数）以及 0 的数目惟一确定，其中的 $r$ 为系数矩阵的秩。正惯性系数 $p$ －负惯性系数 $(r-p)$ 的值 $(2p-r)$ 称作符号差。英语百科 Sylvester's law of inertia 西尔维斯特惯性定理（重定向自Index of inertia） Sylvester's law of inertia is a theorem in matrix algebra about certain properties of the coefficient matrix of a real quadratic form that remain invariant under a change of basis. Namely, if A is the symmetric matrix that defines the quadratic form, and S is any invertible matrix such that D = SAS is diagonal, then the number of negative elements in the diagonal of D is always the same, for all such S; and the same goes for the number of positive elements.
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更新时间：2026/1/2 1:55:22