The study of circulant matrices, an important component of the matrix theory, has become one of the most important and active research fields in applied mathematics.
循环矩阵是矩阵理论的一个重要组成部分，且日益成为应用数学领域中一个非常活跃和重要的研究方向。
Accordingly, we extended several important theorems of complex matrix theory to the quaternion field.
由此，把复数域上矩阵论的若干重要定理推广到了四元数体。
In past decade, "linear preserver problem" has been one of the most active subjects in matrix theory.
近几十年，“线性保持问题”已经成为矩阵论中最活跃的课题之一。
Positive definite matrix occupies a very important position in matrix theory, and has great value in practice.
正定矩阵在矩阵论中占有十分重要的地位，在实际中也有广泛的应用价值。
Circulant matrices, which are an important component of the matrix theory, have become one of the most important and active research fields of applied mathematics increasingly.
循环矩阵是矩阵理论的一个重要组成部分，且日益成为应用数学领域中一个非常活跃和重要的研究方向。
This is standard matrix theory.
这是规范的矩阵理论。
Adjoint matrix of matrix plays an important part during the matrix theory.
矩阵的伴随矩阵在矩阵理论中有着重要地位。
With the help of grey matrix theory, we propose the grey input-output analysis.
在灰色矩阵理论基础上，提出较完整的灰色投入产出分析基础。
A computational theory of learning from examples, extension matrix theory, is presented.
本文提出示例学习的一种计算理论，扩张矩阵论。
The general method of laser wave analysis by optical transmission matrix theory is given.
本文用光传输矩阵理论给出分析激光光腔模式波型特性统一处理方法。
This paper discussed the transfer matrix theory of vibration analysis of long-span arch bridge.
本文探讨大跨度拱桥振动分析传递矩阵法理论。
This paper probes into invariant and normal form of matrix and its application to matrix theory.
探讨了矩阵的不变量、准形及其在矩阵理论中的若干应用。
The semiclassical density-matrix theory with carrier intraband relaxation broading is described.
本文简明地描述了由载流子带内弛豫加宽的半经典的密度矩阵理论。
A method for bridge damage identification based on the sensitivity matrix theory was mainly studied.
重点研究了一种基于灵敏度矩阵对桥梁进行损伤识别的方法。
Using the density matrix theory describes the absorption and dispersion properties of the detecting light.
用密度矩阵理论描述了系统对探测光的吸收和色散性质。
This paper aims at discussing the value range of combination forecasting error square sum with matrix theory.
应用矩阵理论，对组合预测误差平方和的取值范围进行了研究。
Up to now, some heuristic algorithms have been proposed for learning from examples based on extension matrix theory.
到目前为止，一些启发式算法被提出用于基于扩张矩阵理论的示例学习研究。
A nonuniform transmission line is modeled for multilayer plates and an effective shielding is obtained by matrix theory.
利用非均匀传输线模拟了多层平板屏蔽体，并进一步采用矩阵原理得到了屏蔽体的屏蔽效能。
Furthermore, the corresponding parameters of the decay coefficient are analyzed through applying the transfer matrix theory.
此外，我们还运用转移矩阵的方法对衰减系数的相关参量进行了分析。
The matrix theory of sign patterns mainly studies its qualitative nature of the sign pattern which is only about its elements.
符号模式矩阵理论主要研究矩阵的仅与其符号模式有关的定性性质。
This paper presents constraints removed method for self-stress mode problems of spoke structures based on equilibrium matrix theory.
本文在平衡矩阵理论的基础上，提出了针对车辐式结构的逐点去约束法。
In this paper we give a way by which find general term formula of second order linear recurrence sequence by means of matrix theory.
文章借助矩阵理论解决了一般二阶线性递推数列通项公式的求法问题。
According to matrix theory, a unified interpretation is presented for both coordinate transformation and transformer transformation.
根据矩阵理论，对坐标变换和变压器变换进行了统一阐释。
On the basis of the transfer matrix theory, the authors have studied the transmission properties of the sampled chirped fiber grating.
运用传输矩阵理论，对取样啁啾光纤光栅的传输特性进行了模拟研究。
We also found that energy level distribution in quasicrystals follows the level statistics in the random matrix theory and quantum chaos.
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。
By using random matrix theory we find that the distribution of eigenvalues of correlation matrix of relative return also follows a power-law.
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。
The effects of atomic coherence on fiber amplifiers pumped by two lasers with different frequences are studied by using density matrix theory.
用密度矩阵的方法从理论上分析了不同频率的两个激光场混合泵浦的光纤放大器中，由光场诱导的原子相干效应。
You can say that the proof USES nothing beyond elementary matrix theory, repeated use of the triangle inequality, and the pigeonhole principle.
你可以简要地说其实证明就是初等矩阵理论，三角不等式和鸽笼原理的运用。
The nilpotent matrix nature and applies the abstract: The nilpotent matrix is a kind of special matrix, has the vital role in the matrix theory.
幂零矩阵性质及应用摘要：幂零矩阵是一类特殊的矩阵，在矩阵理论中有重要的作用。
The nilpotent matrix nature and applies the abstract: The nilpotent matrix is a kind of special matrix, has the vital role in the matrix theory.
幂零矩阵性质及应用摘要：幂零矩阵是一类特殊的矩阵，在矩阵理论中有重要的作用。
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