乘积

In order to get the transformation from the ordinary space to the noncommutative space, one needs to expand the star product, and the extension is simple and natural.

从普通空间中的量子力学过渡到非对易空间，只需要把原来的木乘积稍作推广，并且，从形式上来看，这样的推广是简单，自然的。

We obtain some neccessary and sufficient conditions of reverse order laws for g-inverse and reflexive g-inverse of matrix products on an arbitrary skew field.

获得了任意体上矩阵乘积的g一逆和自反g-逆的反序律的充分必要条件。

At last, we study the solvability of the feasible vector complementarity problem on product spaces.

最后，我们在乘积空间中研究了向量相补问题的可行性与可解性的关系。

The authors discuss a new numerical simulation method of the downburst wind loads on the basis of the previous research. Firstly, the wind speed is expressed as the sum of an instantaneous mean wind speed and an amplitude-modulating non-stationary fluctuating wind speed. Secondly, a new method based on the modified Osegguera and Bowles/Vicroy model to simulate the mean wind is presented and the fluctuating wind is simulated by a modified spectral representation method.

在将下击暴流风速表达为时变的平均风速和调制的非平稳脉动风速之和的前提下，本文采用基于改进的OBV模型Oseguera and Bowles/Vi-croy(OBV的方法来模拟平均风速，其平均风速直接由改进的OBV模型表达，而不同于已往研究中将平均风速表达为竖向风剖面与时间函数的乘积，并采用结合快速傅里叶变化的谐波叠加法来模拟调制的非平稳脉动风速。

The law of universal gravitation /states /that every particle of matter in the universe/ attracts /every other with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

万有引力定律是指宇宙中的物质粒子之间在压力下相互吸引，这种压力的大小与它们的质量的乘积成正比，与它们们之间距离的平方成反比2 请将下面的句子翻译成中文。

In the third part, we study an application of stereographic projection transformation in statistics, deriving Box-Muller formula (use two independent uniform random number to generate two independent standard normal random number) and spherical symmetric distribution (a product of a positive random variable and a random vector with uniform distribution) in multivariate statistical analysis.

第3章，研究了球极投影变换在统计中的应用，通过球极投影变换获得了利用两个相互独立的均匀随机数生成两个相互独立的标准正态随机数的Box-Muller公式以及多元统计分析中的球对称分布（一个正的随机变量和一个与之相互独立的均匀分布的随机向量的乘积）。

The 3-D thermal weight function method was proposed, in which the works ussually done for finite element stress analyses for every time instants could be avoided, and the transient stress intensity factor of a body subjected to thermal shock can be calculated through direct integration of products of temperature fields and TWF.

在国际上首次以三维热权函数法为核心，绕过对每一时刻有限元应力分析这一步，直接通过温度场与热权函数的乘积的积分来计算热冲击应力强度因子K的过渡过程，极大地提高了计算效率。

Chapter 4 proves the strong law of large numbers,Glivenko-Cantelli Lemma underΓ-weak dependence, and we can further investigate moment inequalities for associated r.v.s.in terms of this dependent coefficient.

第五章我们在Wasserstein距离意义下根据随机变量序列的有限维联合分布以及它的边际分布的乘积之间的渐近独立性提出了一种新的相依系数，并且给出了一些具体的例子。

Using the method of analysis to study strong limit theorem proposed by professor Liu Wen, and a plying Legbesuge theoremon differentiability of monotone function, a new proof of the theorem of strong law of large numbers for the sequence of random variables of the product distribution of Poisson is forwarded.

利用文献[1]刘文教授提出的研究强极限的纯分析方法，通过构造适当的辅助函数，然后利用单调函数异数存在定理，给出具有乘积泊松分布的随机变量序列的一个强大数定理的新证明。

Then we discusses the Poisson reduction of the submanifold in the product Poisson manifold T*M×g*.

其次，考察在特定的乘积Poisson流形T*M×g*中的子流形的Poisson约化。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了