条件表达式

By integral transformation of basic equations, the stress and displacement expressions with unknown coefficients of elastic and viscoelastic materials were obtained in Laplace domain respectively, and introducing dislocation density functions, the singular integral equations were got according to the boundary conditions and interface connection conditions, further adopting Gauss integration and Gauss-Jacobi integration formula, the problem was reduced to algebraic equations, then it can be solved with the method of collocation dots in Laplace domain. Finally, the time response of dynamic stress intensity factor was calculated with the inverse Laplace integral transformation.

采用积分变换方法，得到Laplace域内弹性和粘弹性材料的应力和位移的含未知系数的表达式；引入位错密度函数，并通过边界条件和界面连接条件，导出反映裂纹尖端奇异性的奇异积分方程组，采用Gauss积分，并运用Gauss-Jacobi求积公式化奇异积分方程组为代数方程组，利用配点法进行求解；最后经过Laplace逆变换，求得动态应力强度因子的时间响应。

Optimal algorithm of combined nonlinear Hopfield network appears powerful validity in solving nonlinear planning, which includes nonlinear objective function, linear constrains and high-demension of decision-making variants, for its ability of nonlinear parallel computation. It is prominent among optimal algorithms because of its function of simply implement with electrocircuit hardware. Genetic algorithm is expressly suitable for optimal calculation regarding the planning of massive, highly nonlinear, inconsecutively differentiable and multiobjective function as well as objective function without analytical expression. However, it inclines to prematurity, as well as its limitation in ability of partial optimal search. Introducing the optimal algorithm of niche genetic simulated annealing to standard Genetic algorithm, can therefore improve the full-scale or partial search ability of Genetic algorithm effectively. It has a far-flung perspective in the field of systemic planning of water pollution control.

组合式非线性Hopfield网络优化算法所具有的非线性大规模并行计算能力在求解具有非线性目标函数、线性约束条件及高维决策变量的非线性规划问题方面显示出了强大的生命力，它易于电路硬件实现的功能更是在优化算法中独树一帜；遗传算法采用概率搜索技术，不受目标函数与约束条件的限制，特别适合大规模、高度非线性的不连续可微的多峰目标函数及无解析表达式的目标函数的规划问题的优化计算，但其存在容易早熟、局部寻优能力较差等缺点，本文在标准遗传算法中引入小生境技术及模拟退火算法有效地改善遗传算法的全局和局部搜索性能，提高了全局最优解的寻优质量，小生境遗传退火模拟优化算法在水污染控制系统规划中的应用前景极为广阔。

The principle of minimum potential energy was used to derive the governing differential equation and corresponding boundary conditions.

分析了压杆屈曲时的几何变形条件，导出了压杆的曲率、变形能和各项外力势的表达式，用最小势能原理导出压杆失稳的微分方程和边界条件。

Second, thestress-type ABC indicates that the ABC is an expression of interaction stress betweenthe near-field finite domain and the far-field infinite domain. It can compatible withthe finite element method very well as a natural stress boundary condition, leading tothe numerically stable near-field wave motion method.

其次，应力型指人工边界条件是有限域和无限域间相互作用应力的表达式，其作为自然边界条件较好地兼容有限元法，易于形成稳定的近场波动分析方法。

Based on the obtained results, a simulation method for evaluating the performance of multiuser detection on the condition of average, maximal, and minimal partial correlation coefficients is proposed.

进一步分析了平均部分互相关系数的解析表达式并给出了计算方法，采用进化算法求解了最大以及最小部分互相关系数存在的相对时延条件，提出了异步系统中多用户检测在平均、最大以及最小部分互相关系数条件下的性能仿真评估方法。

This method is for measuring photoconductive phaseshift of spreading resistance under a point contact.

这方法是测量触针下分布电阻的光电导相位移，在不同的表面情况和不同的激发光光谱成分下，导得各种结果表达式，文中对通常所使用的测量条件即粗磨表面和长波激发条件给出数值计算的结果。

By using holographic theory,hologram sampling theorem and separation condition of frequency spectrum,the maximum spatial frequency of off-axis Fresnel was analyzed,and recording conditions were studied.

根据全息理论，通过分析全息图光栅结构的极值频率，利用抽样定理以及频谱分离条件，分析了离轴菲涅耳全息的记录条件，得到了不同于以往文献的最小记录距离及参考光源设置表达式，并做了计算机模拟验证。

Based on the existence condition of the solution for singular ordinary differential systems,the existence condition of the solution of the degenerate neutral differential system as well as the general solution are obtained by defining the solvable matrix pair and fundamental solution and using Laplace transformation.

讨论了对于退化矩阵E不是方阵情形的一般退化中立型微分系统的解，基于退化的常微分系统解的存在性条件，通过定义可解阵对和基础解以及利用拉普拉斯变换，给出了一般退化中立型微分系统解的存在性条件以及通解表达式。

Considering the spectrometer with an array detector,a Gaussian-shaped calibration spectral line's integral sampling model is set up.The condition on which the peak position changes upon the impact of the detector spectral response is studied.And the limitation for the detector spectral response not to shift the peak position to another pixel is given.

为此，针对采用阵列探测器的光谱仪器，建立了以高斯线型为标定谱线轮廓的模型，分析了谱线在探测器上经光谱响应调制及积分抽样后峰值位置发生移动的情况，给出了保证在峰值位置不偏移的情况下探测器光谱响应需满足的条件，特别给出了当仪器分光元件为光栅时，在该条件下结合仪器参数的表达式。

Considering the spectrometer with an array detector,a Gaussian-shaped calibration spectral line's integral sampling model is set up.The condition on which the peak position changes upon the impact of the detector spectral response is studied.And the limitation for the detector spectral response not to shift the peak position to another pixel is given.The limitation's mathematical expression for a spectrometer with a grating is deduced.

为此，针对采用阵列探测器的光谱仪器，建立了以高斯线型为标定谱线轮廓的模型，分析了谱线在探测器上经光谱响应调制及积分抽样后峰值位置发生移动的情况，给出了保证在峰值位置不偏移的情况下探测器光谱响应需满足的条件，特别给出了当仪器分光元件为光栅时，在该条件下结合仪器参数的表达式。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。