查询词典 simultaneous diagonalization

As advantage of this method, at the same time of diagonalization, one can know the algebraic structure in the Hamiltonian and get the eigenstates that are revealed to be an algebraic coherent state as well as some other possible information of the corresponding physical system.

这种方法的优点是，在用代数法将哈密顿量对角化的同时，不但得出了该系统哈密顿量的代数形式，并且可以得知对应的本征态与代数相干态的关系及对应的物理系统的其他物理信息。

The pupose of the research is to develops public key encryption and digital signature shemes based on matrix canonical decomposition problem, or matrix diagonalization problem over Z/n, the ring of integers with modulo-n addition and multiplication in particular, where n is an RSA modulus.

本课题研究基于矩阵经典分解问题，特别是Z/n上矩阵对角化问题的公钥密码与数字签名算法，其中n是一个RSA模数。新算法采用由一个矩阵多项式构成的多维单向陷门函数，其单向性由矩阵对角分解问题(即通过相似变换将矩阵化为对角型的问题)的复杂性来保障，对该函数求逆的陷门由矩阵的特征值或特征向量提供。

The diagonalization of the Cauchy kernel is one of the most important theorems in the theory of symmetric functions.

Cauchy核的对角化是对称函数理论中最重要的定理之一。

The latter one is our effort in attacking the diagonalization of the Cauchy kernel on Schubert polynomials (the noncommutative version conjectured by Alain Lascoux is still open).

后者是我们在关于Schubert多项式的Cauchy核对角化方面所做的努力（Alain Lascoux猜想在非交换的情况下也成立，但目前为止还没有被证明）。

A diagonalization algorithm was presented for the model.

给出了模型的对角化算法。

I n this note,a necessary and sufficient condition of diagonalization for square matrix is considering.

方阵是否可以对角化，是矩阵的一条很重要的性质。

By using conclusions of matrix rank,a necessary and sufficient condition of diagonalization for square matrix is given.

本文利用矩阵秩的相关结论，给出并证明了方阵可对角化的一个充要条件。

In this paper, a suboptimal user selection method is proposed based on Block Diagonalization.

摘要该文基于块对角化的思想提出了一种次最优用户选择方案。

Compared with traditional methods, the method in this thesis does not need to find all the eigenvalues and eigenvectors of a system, and to do diagonalization.

与常规方法相比，本文的方法不需要求系统全部特征值和特征向量，也不需要对角化。

The diagonalization of a normal matrix by a ''.

这一关系在对角化后仍旧为真。

The changes of the HAF after liver injury may be related to the volume of blood loss, the intraabdominal pressure and the pneumoperitoneum duration.

肝撞击伤伴失血后肝动脉血流量的变化与失血量、气腹压力以及气腹持续时间等有密切联系。

Reneging on our commitments to the world's poor cannot be an austerity measure, she said.

放弃我们给世界上的穷国的承诺不能成为一种紧缩措施。