定理

We give several sufficient conditions of NA and NSD properties of random variables, compare the closeness of distribution functions of order statistics between NA and independent rv's, investigate properties of NSD defined by supermodular functions, study the dependence structure of stationary Markov process and order statistics and their spacings from two samples, establish stochastic comparisons of order statistics of heterogeneous rv's in the hazard rate and the reversed hazard rate orders, and give the first analytic proof of the closure property of the up shifted likelihood ratio order under convolution.

给出判定一组随机变量NA性质的几个充分条件，并给出NA和独立随机变量的次序统计量之间"贴近性"的比较，系统地研究基于特殊函数类所定义的NSD负相依概念，给出一些判别NSD性质的结构定理和一些有用概率不等式。系统研究平稳马氏过程的相依结构。研究两样本次序统计量及其问题隔的相依结构。在失效率、反向失效率序和似然序意义下给出非齐次随机变量次序统计量的比较。给出上漂移似然序卷积封闭性的第一个解析证明。

On the basis of the probe and research into space analytic geometry and seeing from the students ' thinking characteristics , this paper has got a proof about three vector double vector product theorem .

本文通过对空间解析几何的研究和探讨，从学生的思维特点出发，给出一个有利于学生认知结构形成的三矢量的双重矢性积定理的证明

Its primary coverage includes: Function and limit, derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral and application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral and curvilinear integral, infinite series, differential equation and so on.

其主要内容有：函数与极限，导数与微分，中值定理与导数应用，不定积分，定积分及其应用，空间解析几何与矢量代数，多元函数的微分法及其应用，重积分与曲线积分，无穷级数，微分方程等。

the conditions of acquisition of minimum deviation is proved by means of rolle's theorem and the reversibility principle of beam path for triple prism, it is that the angle of incidence is equal to the angle of emergence for monochromatic incident beam.

利用数学中的罗尔中值定理及光路的可逆性原理证明了三棱镜获得最小偏向角的条件，即单色光线的入射角等于出射角。

Week 5 Angular momentum of particle and conservation law of angular momentum, angular momentum of rigid body, theorem of angular momentum, conservation law of angular momentum.

第5周 质点的角动量和角动量守恒定律，刚体的角动量、角动量定理、角动量守恒定律。

To use respectively that rigid body plane differential equations of motion, theorem of angular momentum, conservation law of mechanical energy , and the law of conservation of energy.

分别采用刚体平面运动微分方程、动量矩定理、机械能守恒定律以及能量法，对拟定的半圆柱体微振问题进行分析求解，并作以比较，明确了从不同角度入手分析解决微振动问题所需基础知识和基本理论以及相对难易程

According to the Vegard's law and density functional theory of quantum mechanics, the lattice match conditions of Boron-contained arsenide and antimonide quaternary materials have been deduced, the bandgap properties of such quaternary materials have been theoretically analyzed, and the bandgap bowing parameters of all ternary compounds included have been theoretically calculated.

依据维加德定理和量子力学中的密度泛函理论计算出含硼砷化合物和含硼锑化合物四元系材料与GaAs、Si晶格匹配的条件及其带隙性质，同时计算出上述四元系材料所含三元系材料的能带弯曲参数，进而推导出BInGaAs、BInAlAs、BGaAsSb和BGaPSb四元系材料的发光波长与硼元素并入比例的关系。

Composite materials with doubly periodic rigid line inclusions under antiplane shear in an infinite medium are discussed.

利用微结构的周期性和平均应力/应变定理得到了复合材料有效反平面剪切模量的精确公式。

C. Those theorems that apply exclusively to the dual system of values, and which yet do have an independent interest to an economist who has no penchant for antiquarian study in the history of doctrines and ideas.

C。 独有地适用于价值二重性的那些定理。对历史上的教条和观念没有文献研究爱好的经济学家对它们有着独特的兴趣。

Without presuming the activation functions to be continuous, bounded and monotone nondecreasing, by utilizing linear matrix inequality and Cellina approximate selection theory in differential inclusion, a sufficient condition is provided to ensure existence of periodic solutions for that recurrent neural networks.

在并不要求激励函数连续、有界及单调非减的情况下，通过利用线性矩阵不等式和微分包含中的Cellina近似选择定理，得到了该神经网络模型存在周期解的充分条件。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。