查询词典 jacobi bracket

In this paper, by using the notable Mountain Pass Lemma of critical point theory, some sufficient conditions for the existence and multiplicity of periodic and subharmonic solutions to a class of second order nonlinear functional difference equations with Jacobi operators are obtained.

论文研究了一类具有Jacobi算子类型的二阶非线性泛函差分方程(1)的周期解和次调和解的存在性与多重性。首先将方程（1）的解的存在性问题转化为某个泛函临界点的存在性问题，然后验证此泛函满足著名的山路引理的条件，从而得到论文的主要结论。

From special to normal, the problem of constructing a Jacobi matrix with a prescribed principle submatrix and two ordered defective eigen-pairs has been solved gradually in this paper.

遵循从特殊到一般的原则，本文逐步解决了由给定一个顺序主子阵和两个有序缺损特征对构造Jacobi矩阵的问题。

These three algorithms can avoid to recompute the nth order head submatrix of the Jacobi matrix. Moreover, the last two algorithms are more stable, their precision can match well with the algorithm of Boley and Golub.

这三种算法都可以避免重构Jacobi矩阵的n阶首主子阵，并且后两种算法更稳定，数值精度可以与Boley和Golub的算法媲美。

The Jacobi matrix rank one update problems, given either their mix-type eigenpairs or their pricinpal submatrix and defective eigenpairs(the eigenvalues of the matrix and some elements of the corresponding eigenvectors) are also discussed.

n阶对称箭形矩阵与n阶Jacobi矩阵一样只有2n-1个非零元素，类似Jacobi矩阵逆特征值问题的提法，本文提出并讨论了六类对称箭形矩阵逆特征值问题，研究了这类矩阵的结构性质，得到了问题有解的充分必要条件及求解的数值算法和数值算例。

In this paper, Jacobi iteration methods for system of linear equations are derived from mulitparameter projection methods.

从线性方程组的多参数投影法推出Jacobi迭代法。

In addition, by utilizing Jacobi two square numbers theorem and Lagrange four square numbers theorem and some theta function identities, we also prove the known results of number theory: two triangular number theorem, four triangular number theorem, and the number of representations of a positive integer by various quadratic forms in terms of divisor functions

包括Jacobi二平方数定理，Lagrange四平方数定理等，然后利用这些结果结合几个theta函数恒等式，我们获得了把任意一个正整数表示成两个三角数或四个三角数的和以及其他的二次形式的方法数，这些方法数都是用因子函数来表示的。

Symmetric tridiagonal matrix; Jacobi matrix; Eigenvalue problem; Inverse eigenvalue problem; Spring-Mass system; inverse problem in vibration; double dimension; Laplace equation

基础科学，数学，代数、数论、组合理论对称三对角矩阵； Jacobi矩阵；特征值问题；特征值反问题；弹簧-质点系统；振动反问题；双倍维； Laplace方程

The calculation of controlling unstable equilibrium point of a post fault power system is transformed to nonlinear least squares issue. The Jacobi matrix, Hessian matrix and the residue formula are derived. It is found that the residue is changed in the calculating process, so it is appropriate to use the switch method to solve the problem.

将计算电力系统故障后的主导不稳定平衡点的问题转化为最小二乘问题，推导了计算所需要的雅可比矩阵、海山阵以及计算过程的残量公式，发现残量随著计算过程而变化，因此该问题适合于采用开关算法。

Multivariate hypergeometric functions, multivariate Jacobi polynomials and h-harmonic polynomials connected with root systems and Coxeter groups are introduced.

多元超几何函数，多元Jacobi多项式和h与根系考克斯特集团有关的调和多项式介绍。

With the help of a transformation formula of basic hypergeometric functions, known identities, and Jacobi triple, we have established some new Rogers-Ramanujan type identities.

2我们对Agarwal与Singh（见文献[1]）推导出的一个新的Rogers--Ramanujan型恒等式〓给出了一个新的、更为简单的证法，并得出一系列新的Rogers-Ramanujan型恒等式。

Connectors are lines that can be anchored to particular places, called glue points , on the graphic object.

连接符，可固定在图形对象的特定的地方的线条。

Another way of putting it, too many agents have a say in each other's work, and bureaucratic rigor mortis sets in.

另一种表达是，太多的作用物在彼此的工作里都有话语权，官僚的僵尸开始抬头。