导出方程

E By use of the deduced basic solution of antiplane problem, singular integral equation of the interaction between line inclusion and crack is established. Expressions of stress intensity factor of both inclusion and crack and interface stress of the inclusion are given. Numerical calculation of typical example is made.

导出了夹杂反平面问题的基本解，用此建立了线夹杂与线裂纹相互作用的奇异积分方程，给出了夹杂和裂纹端点的应力强度因子，及夹杂两侧界面应力的表达式，并用数值法计算了若干典型算例。

II.Based on the above fundamental solutions,the fundamental solutions ofplane and antiplane problems in two dimensional elasticity body are constructedunitedly by using the reduce dimension technique of integration and consideringtwo dimensional problems as particular cases of three dimensional ones.

将二维问题视为三维问题的特殊情形，由三维问题的基本解，采用积分降维技巧，统一导出了平面问题及反平面问题的单位集中不连续位移基本解；建立了一般边界积分方程；完成了相应的不连续位移边界元方法；给出了在断裂力学中的应用。

The first the relation of AD model and the energy variety of image is educed by thermal diffusion and the diffusion equations based energy flux, and proves the image processing by energy flux sufficing maximum-minimum principle, the variety of image energy is equivalent to that of image intensity.

首先通过热扩散及热扩散方程、基于能量流的扩散方程，导出了向异性扩散模型与图像能量的变化过程之间的关系，并证明了利用能量流方法获得的图像处理过程同样满足极大极小原理。

The power law scheme was used to calculate convective flux and diffusive flux,the over-relaxed correction approach was employed to calculate cross diffusion flux,and Rhie-Chow s momentum interpolation method along with SIMPLEC procedure was used to derive water level correction equation.

针对非结构网格下的潮流数值计算，采用有限体积法离散基本方程，对流-扩散项离散采用幂率格式，交叉扩散项引入超松弛校正方法，水位校正方程应用Rhie-Chow动量插值思想和SIMPLEC类算法导出。

According to the Planck formula,we have deduced a light wavelength equation of inflexion on Planck function , and solved two roots of the equation by Newton-Raphson method.

基于普朗克公式，导出普朗克函数拐点光波长的普遍方程，并利用牛顿迭代法求出该光波长方程的 2个根，找到普朗克公式中潜在的另外一个普适常数。

In general, the other vibratory equations of Timoshenko's beam are special example of this equation. The steady-state vibrations of rail by making use of this equation are solved.

应用导出的方程，求解了铁路钢轨的稳态振动问题，相应地也给出了轨枕和道床的振动方程及其振动特性。

The formula concerning how to control the oil contamination of coal mining machine hydraulic system was built based on the theory of the contamination control ,it is shown that the change of the oil contamination is in index regularity.

根据污染控制理论导出了采煤机液压系统油液污染控制方程，由方程知液压系统油液污染度的变化是按指数规律变化的，并分析了影响采煤机液压系统油液污染度的主要因素，提出在液压系统的设计阶段就要考虑液压系统的过滤净化性能，正确控制液压系统油液污染。

Eigenstates of laser system with negative GVD is constructed under the condition of steady state, and the expectation value of variables that describe optical field are obtained as well.

利用算符的海森堡运动方程以及算符之间的对易关系分别在频域和时域中导出了双波长飞秒激光器的量子锁模方程。

Due to the application of typical mass unit and general formula mentioned above, it overcame the disadvantages of"circular function method", which derided the thermal system into a main cycle and several subcircles, and simplified the calculation.

同时，由于典型质量单元的构建与通用矩阵方程的导出，改变了&循环函数法&把热力系统分成主循环和诸子循环分别计算、综合评价的弱点，减少了通用方程个数，简化了分析过程。

The Bucher diagrams of the Carnot cycle are used to present vividly three-heat-source cycle s.

应用卡诺循环的Bucher图形象地表示出三热源循环，并由图中的相似三角形直接导出三热源循环的能量守恒方程、熵守恒方程和性能系数。

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。