查询词典 Jacobi

At first, the governing differential equations are solved by Fourier transform, then, under consideration of the mixed boundary value condition, a pair of dual integral equations about the vertical vibration are listed which are converted to linear algebra equations by the Jacobi orthogonal polynomial and solved by numerical procedures. Consequently, the dynamic compliance coefficient Cv versus the dimensionless frequency is derived, and the program is compiled.

首先，采用Fourier积分变换解析求解了Biot方程，得到了该动力控制方程在Fourier变换域上的一组通解，然后由混合边值条件建立了地基上基础竖向振动的对偶积分方程，并应用Jacobi正交多项式将其转化为一组线性代数方程组，通过求解得到了不同无量纲频率下基础振动的动力柔度系数Cv，编制了相应的计算程序。

The first one is to study how the convergence properties of Newton-type methods change with convergent order. The second one is to study what will infects the computation of the inversion of Jacobi matrix.

本项目对其涉及计算复杂性的几个问题进行的研究，关心的问题是： 1）Newton型方法的收敛性随着阶变化的关系。2）寻找是什么影响着Jacobi矩阵逆的逼近。

A dynamic model was developed with kinematic differential equation derived for a dual-disc over-hung rotor system with rub-impact fault. The stability of the system and stability regions were studied by setting up nonsingular linear transform matrix and by use of Jacobi matrix in combination with the theory of Routh Hurwitz. Then, the effects on the stability regions of the system were discussed with relevant parameters.

建立了悬臂双盘碰摩转子系统的动力学模型和运动微分方程，通过创建该系统的非奇异线性变换矩阵并利用变换矩阵的Jacobi矩阵结合Routh Hurwitz理论，研究了悬臂双盘碰摩转子系统的稳定性和稳定区域，并进行了相应的参数讨论。

Thirdly,we discuss the invarant factors of this kind of matrix,and obtainthe normal form of Jacobi matrix under the sense of symplectic similar.

再次，讨论这种矩阵的不变因子，得出它们若不是奇函数则必定是或偶函数。最后给出了哈氏系统Jacobi矩阵在辛变换之下的标准形。

The result shows that this algorithm not only has good numerical stability, but also can avoid iteration and solution of the Jacobi matrix.

结果表明，该算法不仅具有较高的数值稳定性，而且避免了迭代运算或Jacobi矩阵的求解。

Secondly,we prove that there exists one to one correspondence between the charac-teristic subspace of Jacobi matrix of Hamiltonian system and that of its conjugatematrix.

其次，证明哈氏系统Jacobi矩阵的特征子空间与其共轭矩阵的特征子空间是一一对应的。

If we know the exact value of ψ_m, we will have, for integers ψ_m, a deterministic primality testing algorithm which is not only easier to implement but also faster than either the Jacobi Sum test, the elliptic curve test, or the AKS algorithm.

如果知道ψ_m的准确值，那么对小于ψ_m的整数N，我们就有一个确定性素性测定算法，它不仅容易实现而且比Jacobi-Sum算法、椭圆曲线素性证明算法和AKS算法速度都要快。

Above all by hand in dc network to the coupling between concerns and be changed stream implement changeover equation, derivation gives rectangular coordinates to fasten matrix of the Jacobi that makes dc system, Hessian, the means that offers section to seek solution in the light of the change that makes dc system control fashion next begs solution voltage to stabilize the usable transmission ability below tie condition.

首先由交直流网络间的耦合关系和换流器转换方程，推导出直角坐标系交直流系统的Jacobi、Hessian矩阵，然后针对交直流系统控制方式的改变提出分段求解的方法求解电压稳定约束条件下的可用传输能力。

The Riemann- Jacobi inversion is discussed to yield the final expression of explicit solution by means of the Riemann theta function, which is directly related to algebraic geometry.

为了最终生成由θ函数所给出的显式解，我们讨论了Riemann-Jacobi反演，这一过程直接关系到代数几何。

Gauss- Seidel iterative and Jacobi iteration is different-first to be calculated first, used again in the second for the right side of the ceremony, followed by analogy.

Gauss-Seidel迭代和Jacobi迭代不同的是先计算第一式得到，用此数再参与第二式的右端的计算，依次类推。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。