查询词典 positive definite form

Positive semi-definite matrices are positive definite if and only if they are nonsingular.

正半定矩阵是正定的，当且仅当它们是非奇异矩阵。

The property of extended sub-positive definite matrix is studied further by means of the method of matrix analysis to obtain the lower estimated Oppenheim inequality of Hadamard multiplication determinant to two extended sub-positive definite matrices under more general conditions and improve the past in the adaptation range and estimated exactness.

用矩阵分析的方法，通过对广义次正定矩阵性质的进一步研究，得到了更一般条件下的两个广义次正定矩阵的Hadamard乘积的行列式下界估计的Oppenheim不等式，在适用范围和估计精度上都改进了已有的相应结果。

In order to change the situation, this article is to give the definition of an axiomatic generalized real positive definite matrices and make analysis into some of the quality of generalized positive definite matrix under the new definition.

为改变这种现状，本文给出一种公理性的广义正定矩阵的定义，并对新意义下广义正定矩阵的若干性质进行了分析和研究。

In this paper, what happens to the inequality when the positive definite matrix is allowed to be positive semi-definite was considered.

本文进一步推广王松桂等的结论，对于半正定Hermite阵，给出了推广的Wielandt不等式的矩阵形式。

This paper discusses the ways in the problem of generalized characteristics in vibration to convert rigidity matrix or quality matrix into positive definite matrix when they are positive semi-definite matrix.

讨论振动中的广义特征问题的刚度矩阵或质量矩阵为半正定阵时如何使其转化为正定矩阵。

In chapter one, we give the definition of the sub-generalized positive definite matrix,study the inverse problem of matix eqution AX = B on the sub-generalized positive definite matrix.

第一章，给出了次广义正定矩阵的定义，进而研究了矩阵方程AX=B在次广义正定矩阵类上的反问题解。

Gave the concept of generalized positive definite matrices for the first time in 1970, the scholars, after 39 years' tough research, have put forward many more generalized positive definite matrix and acquired huge achievement.

首次给出广义正定矩阵的概念以来，学者们历经39年的艰苦研究历程，产生了许许多多更加广义的正定矩阵，获得许多丰富的研究成果。

In calculation of definite integral,beginners tend to use three methods of calculation:(1)Leibniz formula,(2)integration by substitution of definite integral,(3)integration by parts of definite integral.

在定积分计算中初学者常用的计算方法有三种：(1)利用牛顿-莱布尼兹公式，(2)定积分的换元积分法，(3)定积分的分部积分法。

After the simple statement of the legislative origin, the article points out the definite and concrete character of the regulation in the current Penal Code of Mongolia, and states the modem criminal law ideas reflected in current Penal Code of Mongolia as follows: humanistic principles in penalty; the reflection of theory of surplus behavior of joint offence; the definite regulation of involved offender; the definite regulation of decriminalization of a reasonable risk behavior in research and production; the no use of death penalty to the person above 60; the high extent of socialization in implementing penalty; the establishment of system of the cancellation of conviction in order to reform the criminals.

本文在简要评述蒙古刑法立法的渊源后，指出现行《蒙古固刑法典》的规定具有具体明確的特点，並讲述了现行《蒙古固刑法典》所体现的现代刑法思想：刑罚人道主羲原则；体现实行过限理论；在总则中明確规定速累犯；明確规定生產和调查研究中的合理风险行为不构成犯罪；六十岁以上的人犯罪不通用死刑；行刑社会化程度高；设立了有利於罪犯改造的前科消减制度等。

Results Compared with that in the NP tissues, the number of α-SMA positive cells increased significantly in BPH tissue, and the number of vimentin positive cells increased moderately in the stroma and prominently surrounding the acinus and in the basal layer. In BPH tissue, the myosin and ERα staining signal was lost in the stromal cells surrounding the acinus, and the positive staining cells gathered into bunches in the stroma far away from the acinus, while the positive cells were sporadically distributed in the NP tissue. The PCNA positive cells increased moderately in the stroma and increased significantly in the basal layer.

结果 与NP相比在BPH中，α-SMA阳性染色细胞显著增加；波形蛋白在间质中阳性染色细胞有所增加，在腺泡基底层及临近腺泡外层间质中阳性染色细胞明显增加；在临近腺泡外的数层间质细胞中肌球蛋白和ERα由部分阳性变为完全阴性染色，而在远离腺泡的间质中其阳性染色细胞由散在斑块状分布变为簇状密集排列；PCNA在间质中阳性染色细胞有所增加，在基底细胞层中阳性染色细胞显著增加。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。