导出

In the point of view of interacting forces among micro-particles in liquid pure substance and according to argon model and theorems and rules in semi-metal structure theory of organic molecules created by one of authors, a new theoretical equation of the liquid molar volume V at the normal boiling point to pure substance is proposed.

从液体纯质中的微观粒子间的相互作用力方面考虑，按照作者创立的氮模型理论和有机分子的半金属结构理论中的定理定则，导出液体纯质在正常沸点下的摩尔体积V理论方程，给出了理论方程成立的数学证明。

A model of an additive mixture of Gaussian and non-Gaussian impulsive noise is adopted, and the asymptotical solution of the closed-form expression for the average symbol error rate of orthogonal space-time block coding over Rayleigh flat fading channel is derived by means of the Moment Generating Function with the approximate equivalent Multiple-Input Single-Output model of mixture noise.

采用脉冲和高斯加性混合噪声模型，利用矩母函数分析方法，通过建立多发单收近似等效模型，推导出Rayleigh衰落信道下MISO空时分组码误符号率闭式表达式的渐近解。

A mechanics model is presented in this paper which explains the combinative action of bending moment, shearing force and axis force, and some related calculation formulas are hereby deduced.

该文对弯矩、力及轴力联合作用下的板料弯曲提出了一个力学模型，并按此导出了有关的计算公式。

And the conservation laws of moment and momentum are obtained by the combining the tiny element analysis method in continua mechanics with variation principle in analytical mechanics.

论文摘要：本文在建立时变边界挠性体的动力学方程时，将并入的质量对挠性体的作用当作时变边界上的表面力，并将连续介质力学中的微元分析法和分析力学中的变分原理相结合，导出了时变边界的变质量刚体的动量和动量矩矩方程。

Using the basic dynamic equation of rotary non-inertial system, the basic law of object s movement in the reference system of rotating about fixed axis , and the conditions of momentum conservation and conservation of momentum moment of objects are educed.

利用旋转非惯性系中的基本动力学方程，导出在定轴旋转参照系中物体运动的基本规律，以及物体动量守恒和动量矩守恒的条件。

According to theorem of motion of centre of mass and theorem of moment of momentum about centre of mass , we derive the theorem of moment of momentum about instantaneous center of rotation.

从质心运动定理和相对质心的动量矩定理出发，导出了相对瞬心的动量矩定理。

Export the animation into a high-quality movie file.

导出该动画为一个高品质的电影文件。

The study methods: Based on digital printing and offset printing technology principle, the basic parameters having effect on the ink-jet printing output quality were analyzed. And the mathematics models between the ink quantity and the solid density, and the relation between the gamma and printing contrast were established. The relation among the output dot area coverage, the original dot area coverage and the dot-gain percent was analyzed. And the mathematics models of printing characteristics curves and dot-gain curves were established. The factors influencing the dot-gain were analyzed, and then the dot-gain compensation function was acquired. All the models were verified by the method of regression analysis. And the precisions of the models were obtained by the correlation coefficient and multiple correlation coefficients.

研究方法：根据数码印刷以及胶版印刷的工艺原理，分析了影响喷墨印刷输出质量的基本参数，建立墨量与样张实地密度、γ与相对反差的数学模型；分析输出网点面积率、标定网点面积率以及网点扩大率三者之间的关系，建立网点扩大曲线和印刷阶调复制曲线的数学模型，并对网点扩大的影响因素进行了分析，导出了网点扩大补偿函数；运用回归分析方法分析模型，并用相关系数和复相关系数检验回归模型的显著性；使用灰平衡方程，结合回归法得出灰平衡控制曲线。

The multiplication theorem and MVDR beamforming are introduced. Various broadband beamforming methods and methods of broadband constant beamwidth beamforming are studied. 3. The necessity and the importance to introduce beamforming of array with virtual elements had been analyzed, the main ideas and principle are studied deeply.

分析了束控和加权对波束形成的影响，给出了仿真实例，介绍了乘积定理和MVDR波束形成方法，并且系统研究了频域和时域宽带波束形成的结构和特点，最后导出了宽带波束形成的恒定束宽实现方法。

Multistep method is the first method applied to DAEs.Because of some reasonsin history,all algorighms for DAEs come from those for stiff ODEs,mainly thebackward difference formula.

多步法是最早用于直接求解微分代数方程的方法，由于历史上的原因，长期以来使用的公式都是由刚性常微分方程的求解公式导出的，主要是向后差分公式。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。