对于任意两分量,混合偏导数相等。
For every pair of components the mixed partials must be the same.
结果表明 :方程中混合偏导数项系数具有控制网格正交性的作用;
The factor of the mixed partial derivative term controls the grid orthogonality. The other two factors of second order partial derivative terms control the grid spacing.
海森矩阵被应用于牛顿法解决的大规模优化问题。混合偏导数和海森矩阵的对称性海森矩阵的混合偏导数是海森矩阵非主对角线上的元素。
Hessian matrices are used in large-scale optimization problems within Newton-type methods because they are the coefficient of the quadratic term of a local Taylor expansion of a function.
应用函数列的极限与函数的极限交换次序定理,研究了二元函数的二重极限与它的两个累次极限的关系定理,研究了二元函数的两个二阶混合偏导数可交换次序定理。
By using the limits of functions and the exchange limit theorem, we considered the relationship between the double limit of function with two variables and its repeated limits.
应用函数列的极限与函数的极限交换次序定理,研究了二元函数的二重极限与它的两个累次极限的关系定理,研究了二元函数的两个二阶混合偏导数可交换次序定理。
By using the limits of functions and the exchange limit theorem, we considered the relationship between the double limit of function with two variables and its repeated limits.
应用推荐