导出方程

In this paper the process equation of Van der Waals polytropic process is derived and energy transformation of Van der Waald Gas in the Thermodymic procss is discussed.

导出了范氏气体多方过程的过程方程，并讨论了范氏气体的热容量，多方指数及在各热力学过程中的能量转化情况。

From these dynamic solutions, frequency and mode shapes of sectorial plate and sectorial annular plate under boundary conditions of GSS and GRS are derived. The three-dimensional exact solutions of the displacement, electric potential, magnetic potential, stress, electric displacement and magnetic induction of equilibrium problems are also obtained.

由动力学的一般解，导出了扇形板和扇形环板在广义弹性简支和广义刚性滑动边界条件下自由振动的频率方程和振型；并得到了平衡问题的扇形板和扇形环板在两种边界条件下的位移、电势和磁势，应力、电位移和磁感应强度的三维精确解。

Necessary and sufficient conditions for the matrix equation to have symmetric positive semidefinite solutions are derived using the generalized singularvalue decomposition.

利用广义奇异值分解导出了该矩阵方程有对称半正定解的充分必要条件，并且给出了一般对称半正定解的表达式

The research work is mainly focused on the phase mask method, the characteristics of near-field diffraction of the phase mask are analyzed with scalar diffraction theory, and the properties of grating formation are studied specifically when the writting light beam incidents normally and slantly, respectively, with some important conclusions derived.

我们首先采用按理想波导模展开的方法建立了FBG中的模式耦合方程，并用模式耦合理论研究了FBG中的模式耦合现象，导出了FBG的反射光谱和透射光谱的理论表达式，采用数值模拟计算的方法研究了FBG的结构参数对其反射光谱特性的影响，得出了若干重要结论。

Then, from the solid—liquid two phase flow theory, considering all the forces acted on the solid particle, the movement equations of single spheric particle are established.

然后，从固液两相流理论出发，导出单个球形泥沙颗粒的运动方程，由此建立泥沙颗粒的随机运动模型。

Based on anisotropic elastic theory,the linear and nonlinear constitutive equations of twistless fiber bundle s were worked out by utilizing elastic mechanics.

应用弹性力学方法，根据各向异性弹性理论，导出非加捻纤维束线性和非线性本构方程。

Based on division of regions of a typhoon and characteristic scales of physical quantities done by Anthes,sets of equations governing different parts of the typhoon are derived with scale analysis and wave energy equations for each part are obtained with the WKB method. Discussions indicated that physical factors contributing to typhoon development are unconstant in all parts of the typhoon,respectively shown as vertical changes in vorticity and tangential wind for the core and outer mid-tropospheric area,...

利用Anthes关于台风的区域划分以及物理量特征尺度的结果，采用尺度分析方法导出了台风不同区域的控制方程组，又用WKB方法得到各区的波能量方程并进行了讨论，指出影响台风发展的物理因子在各区的异同点：各区都有非定常因子；同时，台风内核及外围中层对流层的因子有涡度和切向风的垂直变化，外围边界层有热成风及其偏差，外围流出层有水平位温梯度，这些因子与重力波适当的移向相配合，可使台风能量发展，强度增大。

Gravitation as spacetime curvature is introduced and the field equations of general relativity derived.

引力时空曲率的介绍和广义相对论的场方程导出。

In this paper,the generalized equations of variable mass for high-order nonholonomic mechanical system in noninertial frame are de- rived by the universal D Alembert s principle and an example is given to illustrate the application of these equations.

本文由万有D'Alembert 原理导出变质量高阶非完整系统相对于非惯性系的广义方程，并举例说明其应用。

On the basis of the equivalent mechanism of swinging movable teethed transmission-crank-rocker mechanism, the tooth profile equation of central gear was derived by the use of complex numbered vector method.

基于摆动活齿传动的等效机构－曲柄摇杆机构，利用复数矢量法，导出了中心轮的齿廓方程。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。