这们课是为了工程和科学应用，是一门介绍随机矩阵理论基础的课程。
This course is an introduction to the basics of random matrix theory, motivated by engineering and scientific applications.
发现准晶的电子能级分布服从随机矩阵理论与量子混沌理论中的统计分布规律。
We also found that energy level distribution in quasicrystals follows the level statistics in the random matrix theory and quantum chaos.
利用随机矩阵理论我们发现相对收益的关联矩阵的特征值分布也具有幂律的特征。
By using random matrix theory we find that the distribution of eigenvalues of correlation matrix of relative return also follows a power-law.
课程会有补充的阅读材料和客席专家讲座，强调著重于随机矩阵理论及其现状的应用范围。
Lectures will be supplemented by reading materials and expert guest speakers, emphasizing the breadth of applications that rely on random matrix theory and the current state of the art.
本文采用随机矩阵理论，计算了： （1）正常态金属小粒子的电子热容和顺磁磁化率。
In this thesis, we use the Random-Matrix-Theory to revise the following calculating methods:(1) The heat capacity and the spin susceptibility of the normal metallic small particles;
利用随机矩阵理论(RMT)方法除去肺癌基因表达数据中的噪声，并将去噪后的数据分别用模块方法和等级聚类方法进行处理。
We used random matrix theory (RMT) to remove the noises in lung cancer gene expression data and used the modules approach and the hierarchical clustering approach to construct the gene networks.
查卡拉波蒂和他的研究团队从大规模数据库中获取蛋白质数据，使用随机矩阵理论分析病毒的基因序列，最后发现几组氨基酸的突变是可调节的。
Working with HIV proteins taken from a massive database, the team used random matrix theory to analyze HIV's genetic code and find groups of amino acids whose mutations were coordinated.
本文以现代数学理论为依托，研究了随机结构系统的一般实矩阵的特征值问题。
The eigenvalue problem of general real matrices was researched in random structure system that it is from depending on modern mathematics theories.
虽然随机矩阵的应用和分析十几年前就出现了，但在数学理论和工程师对它的理解中间还存在差距。
Although applications and analysis using random matrix methods have emerged over the past decade or so, there is a gap between the mathematical theories and understanding of it by engineers.
非线性矩阵方程来源于控制理论，梯形网络，动态规划，排队理论，随机过滤，统计学等应用领域。
Nonlinear matrix equations arise in areas of control theory, ladder networks, dynamic programming, queueing theory, stochastic filtering and statistics.
从事高等数学、线性代数、概率统计、高等代数、矩阵理论、数理统计、随机过程等课程。
He has been working on the teaching of Higher Mathematics, Linear Algebra, Probability Statistics, Higher Algebra, Matrix Theory, Mathematical Statistics, and Stochastic Process, etc.
文中首先给出了杂交模式的裂纹尖端奇异单元的刚度矩阵，然后基于随机场的局部平均理论和一阶泰勒展开得到了应力强度因子均值和方差的计算公式。
The stiffness matrix of a hybrid crack-tip singular element is first derived, then by use of first-order Taylor expansion the mean and variance of stress intensity factors are formulated.
文中首先给出了杂交模式的裂纹尖端奇异单元的刚度矩阵，然后基于随机场的局部平均理论和一阶泰勒展开得到了应力强度因子均值和方差的计算公式。
The stiffness matrix of a hybrid crack-tip singular element is first derived, then by use of first-order Taylor expansion the mean and variance of stress intensity factors are formulated.
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