行列式方程

The necessary and sufficient condition of separation for homogeneous Scalar Helmholtz equation is both the existence of Stackel determinant and h 1h 2h 3S=f 1(μ 1)f 2(μ 2)f 3(μ 3)in orthogonal curvilinear coordinates system.

讨论了在正交曲面坐标系中齐次标量Helmholtz 方程变量分离的充要条件是Stackel行列式存在且h1h2h3S＝ f1（μ1）f2（μ2）f3（μ3）成立。

Based on the nonlinear static equilibrium equations of the system, the force singularity is described by the determinant and condition number of the Jacobian matrix clearly.

基于系统的非线性静力平衡方程，根据力传递Jacobian矩阵的行列式和条件数，剖析了工作空间内部的力奇异性。

It solved the transcendental equation of different terminalcondition rigid suspension bar cable force and the frequency byprogramming composition with the determinant search method.

采用行列式搜索法，通过编制程序对不同边界条件吊杆拉力与频率关系的超越方程进行求解。

In chapter 1, Galerkin alternating-direction procedures and an approximation to the Jacobian of the isoparametric map are applied to discuss a three-level and a four-level Galerkin alternating-direction procedures for two kinds of nonlinear hyperbolic equations which are given on a nonrectangular, curved region.

第一章结合[10]中对矩形域上双曲型问题提出的交替方向有限元方法和[19]中利用等参元，等参变换的Jacobi行列式的逼近来研究的思想，给出了两类非线性双曲型方程在非矩形域上的交替方向有限元方法。

By comparing the matrix theory over number field,we mainly discussed the quaternion matrix norm theory,the quaternionic determinant,the complex number expression of the quaternion matrix and the quarternion linear matrix equation.

通过对比一般域上矩阵理论，本文主要从四元数矩阵范数理论、四元数矩阵行列式、四元数矩阵的复表示以及四元数线性方程组和线性矩阵方程四个方面阐述了四元数矩阵理论。

To set the coefficient determinant for zero to solve the characteristic equation of one-layered plate, and to calculate the dispersion equation of any layered plates with recursive matrix method.

层状板当上下表面为自由边界面时板中将会产生板波，文中通过求解行列式和采用传递矩阵法分别得到了单层板和任意层板的特征方程，研究了单层板和双层板中板波的频散特性和板中位移和应力的分布，讨论了板波的动力响应，对测点的布置有一定的指导意义。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷