查询词典 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。

This paper discusses the matrix of the basic theory of diagonalization. On this basis, it studies the two matrices at the same time or a contract similar to the conditions of diagonalization.

本文论述了矩阵可对角化的基本理论，在此基础上研究了两个矩阵同时相似或合同对角化的条件。

In this paper, the concept of congruent diagonalization of matrix is presented, and the problem of diagonalization of one matrix is generalized.

提出矩阵合同对角化概念，对一个矩阵对角化问题进行推广思考，讨论了二个矩阵的同时对角化问题，取得了一些结果，给出了有关算

Then, the relation between vibration and sound, the acoustic holography method, the indeterminacy and identifiability of BSS, the BSS algorithm are discussed in detail. Based on above researches, the dissertation is divided in following four sections. The first section investigates the BSS algorithm suitable to acoustic feature separation. The algorithm of the joint approximate diagonalization of eigen-matrices is proposed. The spectra or the time-frequency distributions of source signals are the interesting features in ABD and they are separated from mixing signals by JADE algorithm. Then, the convolutive mixing model is transformed into a high-dimension instantaneous mixing model, and the deconvolution of source signals is achieved by the joint approximate block diagonalization of eigen-matrices. The proposed algorithm has a global minimum, and it is unsensitive to noise interference.

论文首先概述国内外声学诊断研究进展与盲分离研究进展，给出机器噪声声场与盲分离的数学描述，讨论了声振辐射、声全息、盲分离模型、盲分离可解性、盲分离结果不确定性、分离算法等基本问题，在此基础上，论文的研究工作分为以下四个部分：第一部分研究适用于声学特征分离的盲分离算法，提出基于特征提取的联合近似对角化盲分离算法，该算法以频谱特征或时频特征作为分离目标，从混合信号中分离源信号频谱特征或时频特征，最大限度地保留了与声学特征提取有关的频谱特征或时频特征，采用模型变换把卷积混合模型变换为一个高维瞬时混合模型，通过联合近似分块对角化算法实现源信号频谱特征与时频特征的盲反卷积。

Means the parent directory, so this command means to execute "toolchain.sh," which is in the current directory.

代表父目录，所以这个命令就是执行当前目录下的"toolchain.sh"。

Yes,In fact,I'm on our city ream.

是的。事实上我是我们市队的。