对角化矩阵

With the assumption that electric field is constant within each element, the relationship of the degrees of freedom over each element is determined by introducing a local affine coordinate system.

在单元内部电场为常量场的假设下，使用局部仿射坐标架，确定出每个单元上自由度所服从的约束关系，由此导出对角化质量矩阵的公式。

In the perturbation approach the ro-vibrational Hamiltonian is expanded in terms of the normal coordinates, their conjugate momenta, and the rotational momenta. The harmonic oscillator and rigid rotor wavefunctions are then used as the basis functions.

根据光谱理论，在谐振子和刚性转子的表象中，通过切变换导出一个等效的哈密顿量，考虑各种共振相互作用后，对角化哈密顿矩阵得到本征能量。

The characteristic vector of the real symmetric matrix should be found out, which is orthogonalized and normalized to a standard orthogonal base and is used as row vector to construct the transformation matrix P, so the P~(-1)AP can be made into diagonal matrix.

实对称矩阵A经相似变换P-1AP可化为对角矩阵，在x =Py 下，不一定能化A的二次型为标准型；应寻求对称矩阵A的特征向量，将其正交化并单位化作为标准正交基，作为列向量构造变换矩阵P，可使P-1AP=Λ为对角阵，在x =Py 下，要将二次型化为标准型，且二次项系数即为对角阵Λ主对角线上元素。

The simultaneous diagonalization by congruence of pairs of Hermitian quaternion matrices is discussed.

讨论四元数Hermitian矩阵对在共轭合同关系下的同时对角化问题。

It is shown that finally this problem turns to the estimation of the real joint eigenvalues of three real matrices and solve the joint eigenvalue estimation by a recently proposed simultaneous diagonalization algorithm.

通过同时对角化算法估计矩阵的联合特征值，获得了参数联合估计的强可辨识性，即允许信号参数在任何一维任意重复，并可以使估计参数实现自动配对。

It develops a new method which makes interconnections between subsystems be "block-diag" by using matrix singular value decomposition technique.

利用矩阵的奇异值分解技术，提出了对关联项进行块对角化处理的一种新方法。

Constructing a unitary matrix for transformation of coordinates by means of quadratic form theory,the Hamiltonian of the 3D coordinate-momentum coupling harmonic oscillator is transformed into diagonalmatrix,it not only offer a general mathematic method for solving this kind of problems,but also have an active effect upon upgrading students ability to solve physics problems by mathematical theory.

利用二次型理论构造一个幺正矩阵进行表象变换，将|x〉表象中的三模坐标-动量耦合量子谐振子体系的哈密顿量对角化，这不仅提供了一种解决该类问题的一般数学方法，同时对培养和提升学生运用数学工具解决复杂物理问题的能力也具有积极的指导作用。

Two closest single-qubit states could be diagonalized by the same unitary matrix, which helps find the relative entropy of entanglement of a two-qubit \lq\lq X\rq\rq ~ state.

两个相隔最近的单比特量子态可以被同一个酉矩阵对角化，这一结论在文章中被严格证明。这一结论对求"X"型两比特量子态的相对熵纠缠很有帮助。

The proposed method is performed in abc phase-coordination,so it can be applied to transposition or untransposition lines(single-or double-cir cuit lines)and the non-diagonalizable situation of produce matrix ZY .

本文方法在abc相分量上进行计算，所以适用于均匀换位或不换位的单回线、双回线和线路传播常数矩阵ZY不能对角化的情况。

By mean of congruence transformation, when root of a polynomial has zero-root or double-root, a method for diagonalization of some Bezout matrics is given in this paper.

主要通过合同关系，对Bezout矩阵中当多项式存在零根和存在二重根时的对角化问题进行分析，得到一些有意义的结论。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。