Some recursive relations were derived for the radial matrix elements of Hydrogenic Atom using hypervirial Theorem and ladder operators.
本文使用超维里定理与升降算符方法，导出了氢原子跃迁矩阵元与平均值计算的一些递推关系式。
Finally, intuitionistic fuzzy relations are investigated with the proof of a theorem on intuitionistic fuzzy similar matrix.
最后，研究了直觉模糊相似关系，证明了直觉模糊相似矩阵的一个定理。
A theorem of relation between quadrate and matrix operation is proposed; an iterating algorithm is then given based on the theorem.
提出了数组运算与矩阵运算之间的关系定理，利用该定理给出了计算矩的一种递推算法；
Tellegen's theorem 2 is important in circuit theory. This paper analyzes its conjugation with matrix method and represents the complete matrix formulation of Tellegen's theorem.
特勒根定理2是电路理论中的重要定理。本文用矩阵方法分析其共轭性，最后给出特勒根定理完整的矩阵表述。
By using the contain theory and partition theorem of symmetric matrix, three conjectures about YANG Hui matrix are cetified.
它使用了对称矩阵特征根的包含原理和分隔定理，并利用了正矩阵特征根的性质。
According to the field matching theorem, the transmission equation and scatter matrix expressions of the coaxial extractor system with support post are educed in this paper.
本文根据场匹配原理导出了具有支撑杆的同轴提取区系统的传输方程和散射矩阵，并对同轴提取区各部分的微波模式进行了理论分析。
We introduced the concept of block directed edge cover diagonal quasi dominant matrix, obtained a new nonsingularity criteria for matrices and distribution theorem on eigenvalues of matrix.
引进了拟块有向边覆盖对角占优矩阵概念，给出了新的矩阵非奇异判定定理和特征值分布定理。
There are two kinds of algorithmic structures for the method of weighted recursive least squares (WRLS) corresponding to the matrix reversing (MR) formula or the QR decomposing theorem.
对应于矩阵反演公式及QR分解定理，加权最小二乘法(WRL S)存在两类不同的算法结构。
ASM also provides an error correction formula deduced from matrix inversion theorem to clear up the error originated from approximate synchronous sampling.
近似同步法还提供了一个用基于系统辨识的矩阵反演定理导出的误差校正公式，它能消除近似同步采样造成的原始误差。
By using Gerschgorin Theorem, the inclusion regions of an interval matrix and their applications are discussed in this paper.
运用矩阵理论的圆盘定理，讨论了区间矩阵特征值的包含区域，得出了拟圆盘定理并讨论了稳定性。
When a new group of elements are added, the theorem of rank preservation is obtained and proved under judgement matrix of old elements being inconsistent.
得出并证明了原有元素的判断矩阵为不一致时，新元素组导入的保序性定理。
The paper proved the Hamilton-Cayley theorem in complex number space, and indicated the all matrix root of the sign multinomial of matrix A.
本文在复数域上证明了哈密尔顿-凯莱定理，并给出方阵A的特征多项式的全部矩阵根。
The quaternion matrix singular value perturbation theorem is generalized and these results are also new one for complex matrix.
本文对四元数体上矩阵奇异值摄动定理给出了推广，且这些结果对复矩阵也是新的。
This paper also proposes the qualities of adjacency matrix, derives the theorem of the relations between isomorphism and equivalent adjacency matrix.
提出关联矩阵的性质，推导出同型机构和等价关联矩阵关系的定理。
Two conclusions drawled by schmidt's orthogonalization:(1) The QR decomposition theorem of nonsingular matrix;
从施密特正交化出发，得到了：（1）可逆矩阵的QR分解定理；
A method is set forth to calculate the hydrodynamic pressure influence matrix of elastic dam using series development and linear superposition theorem in this paper.
利用级数展开和线性叠加原理，本文给出了一种求取弹性坝面动水压力影响系数矩阵的数值算法。
Using comparison theorem and some properties of the matrix norm and the matrix measure, the paper provides several stability conditions for single and symmetric composite uncertain delay systems.
利用比较定理、矩阵范数和矩阵测度的有关性质，提出了简单不确定时滞系统及对称组合不确定时滞系统的稳定条件。
The generalization of a theorem for circular matrix is given by using generalized Vandermonde matrix, and several properties of generalized circular matrix are obtained.
利用范德蒙矩阵对循环矩阵的一个定理给出了推广，并得到了广义循环矩阵的几个性质。
By using the continuation theorem of topology degree theory and properties of nonsingular M-matrix, we obtain sufficient conditions for the existence of positive periodic solutions of this system.
利用拓扑度理论中的连续定理以及M -矩阵的性质获得了该系统正周期解存在的充分条件。
The article discusses rank of a matrix by the solution theorem of system of homogeneous linear equations, and proves several famous inequalities and two propositions on rank of a matrix.
利用齐次线性方程组解的理论讨论矩阵的秩，给出几个关于矩阵秩的著名不等式的证明，并证明了两个命题。
Based on TIKHONOV regularization theorem, a new regularizer, which has explicitly physical meaning, is chosen to mitigate the ill-condition of the normal matrix.
基于TIK - HONOV正则化原理，选择了一种具有物理意义的正则化矩阵，以减弱法矩阵的病态性。
The generalization of a theorem for circular matrix is given by using generalized Vandermonde matrix, and several properties of generalized circular matrix are obtained.
然后讨论了推广的循环矩阵，即准循环矩阵和广义循环矩阵，利用类似方法，也给出了它们的求逆阵和求行列式的方法。
This text that make use of the order of matrix gives outs the unitary polynomials divide exactly theorem of judgment; And give a simple and convenient method about quotients type at the same time.
利用矩阵的秩给出一元多项式整除性的判定定理，同时给出商式的简便求法。
And the classical Courant-Fisher theorem is applied to the complex normal matrix by using a kind of decomposition of complex normal matrices.
利用正规矩阵和乘积可交换矩阵的重要性质 ，给出了亚正定矩阵的三个充分条件以及其合同矩阵的两个分解形式 。
And the classical Courant-Fisher theorem is applied to the complex normal matrix by using a kind of decomposition of complex normal matrices.
利用正规矩阵和乘积可交换矩阵的重要性质 ，给出了亚正定矩阵的三个充分条件以及其合同矩阵的两个分解形式 。
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