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According to the fundamental theory of group representations, a direct proof is given for the singleness of demension of Dirac s matrix in the relativistic quantum mechanics. 根据群表示论的基本定理，对相对论量子力学中狄拉克矩阵维数的唯一性给出直接证明。
Recent perspectives in random matrix theory and number theory. 随即距阵理论和数论新观点。
Fuzheng Zhang, “Matrix Theory”, Springer-Verlag, N.Y., 1999. 程云鹏，“矩阵论”，西北工业大学出版社，1999。
Positive definite matrix occupies a very important position in matrix theory, and has great value in practice. 摘要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。
Generalized strictly diagonally dominant matrix play an important role in matrix theory and real applications. 广义严格对角占优矩阵在矩阵理论和实际应用中具有重要的作用和意义。
In this paper, the judgement of existing solution to circulant linear equations set and the solutions under all kinds of circumstances are presented by polynomial matrix theory. 摘要利用多项式矩阵理论，给出了循环线性方程组有解的判定并求出各种情况下的解。
Using matrix theory, we present a sharp upper bound on the spectral radius of digraphs and strongly connected diagraphs. 摘要利用矩阵理论，给出了简单有向图的谱半径可达上界和强连通有向图的谱半径上界。
We also discuss the effect of GDOP with the number of satellites. It is also proved in theory that the lowest GDOP using the matrix theory. 讨论了卫星数量对GDOP的影响,并用矩阵理论对其最小值进行证明。
The topics represented are by no means exhaustive but are meant to be indicative of the work done by researchers in diverse communities involving random matrix theory. 这些课题不能说是完全无遗漏的，但可以看到各领域的研究人员用随机矩阵论所做的工作。
Based on matrix theory,this paper analysed input-output elasticity coefficients and proposes a new method to determine the elasticity coefficients. 根据矩阵理论,对投入产出弹性系数进行分析,提出了一种新的确定弹性系数的方法。
Such deviations from the predictions of random matrix theory RMT [1] can provide clues about the underlying interactions between various stocks. 这种偏离预测的随机矩阵理论可以为有基本相互作用的各种股票提供线索。
The mathematical model is established and the algorithm is put forwa rd based on matrix theory for evaluating straightness in this paper. 从矩阵变换的基本理论出发,建立了在最小二乘法意义下的评定直线度的数学模型,提出了基于矩阵理论的直线度评定新算法。
If the gauge compensating term is added to the action, the S matrix in the physical state vector space can be expressed in a form which has no couplings of physical and unphysical particles, and so the physical S matrix is gauge independent and unitary. 在作用量中添上规范补偿项以后;物理态空间中的S矩阵可以写成物理粒子和非物理粒子之间没有耦合的形式;显示出S矩阵的规范无关性和么正性.
To analyze and judge the condition of GG conductors, a mathematic model based on electric circuit and matrix theory is established. 为了掌握接地网导体的腐蚀和断裂情况，利用电网络和矩阵理论，建立了接地网在土壤中腐蚀、断裂点诊断的数学模型。
We also discuss the effect of GDOP with the number of satellites.It is also proved in theory that the lowest GDOP using the matrix theory. 讨论了卫星数量对GDOP的影响,并用矩阵理论对其最小值进行证明。
This paper firstly puts forward the preparation method of novel antifriction nano-composites with graphite nano-sheets (NanoG) as lubricant, heat-resistant bismaleimide (BMI )for composite’s matrix. 本文首次提出利用高、低温膨胀不同粒度的可膨胀石墨制备的纳米石墨薄片（NanoG）为润滑剂，以耐高温的双马来酰亚胺树脂（BMI）为基体，制备新型耐热纳米减摩复合材料。
In this paper, expound a semiclassical density matrix theory, it was used by Author in theoretical study of miniature optically pumped submillimeter wave laser. 重点论述在小型光泵亚毫米波激光的理论研究中所应用的量子系统的半经典密度矩阵理论。
On the basis of fabrics weaves.a mathamatical model of fabrics is structured with the principle of matrix theory,provides a theoretical base for CAD/CAM system of computer. 本文以织物组织结构为依据,以矩阵理论为基础,构建了织物的数学模型,为建立计算机的CAD\\CAM系统提供了基础。
On the basis of Lifting Matrix theory, the paper provides a new arithmetic model, and presents the detailed steps of realizing 8 points single dimension DCT. 通过对视频图像压缩编码技术中的8×8整型离散余弦变换(DCT)正反变换算法进行了讨论和研究,在以提升矩阵为工具的基础上提出了一个新的8×8算法模型,并给出实现一维8点DCT/IDCT的具体步骤。
Based on the matrix model of a finite automata and with the tools of Matrix Theory and Boolean Algebra,a new method for minimizing a finite automata is presented in this paper. 论文基于有限自动机的矩阵模型????并以矩阵理论和布尔代数为工具,给出了一种有限自动机极小化的新方法。