查询词典 condition equation

Based on Born approximationmethod and the local principles of wave function in inhomogeneous medium and theray theory and the integral equation theory,this dissertation researches the theory andsimulation of the inversion method of large perturbational medium parameters andbreaks through the approximation condition of the small perturbational parametersand the weak scattering in traditional inversion method.

本文在Born近似方法的基础之上，基于非均匀介质中波函数局部理论和射线理论及积分方程等理论方法，对大扰动参数反演方法的理论和数值模拟进行了研究，突破了传统反演方法要求的参数小扰动和弱散射条件。

In the first part, first of all, we have a priori estimate for solution of the reaction-diffusion equation with initial condition and Dirichret boundary conditions. Then, we construct a semidiscrete Legendre pseudospectral scheme, and have a priori estimate for approximate solution. We discuss the asymptotic stability of approximate solution. At last, we get a error estimation on large time for solution of the semidiscrete system.

首先，对此类方程初边值问题的解进行了先验估计；然后建立方程半离散的Legendre拟谱格式，并对近似解进行了先验估计，讨论了近似解的渐近稳定性；最后，得到了半离散系统解的长时间误差估计。

In the condition of 100℃,it could make use of regression equation in order to optimize degumming technology conditions and forecast the content of pectin. It is important to improve the spinning performance of hemp fiber.

利用此回归方程可以在100℃的条件下优化脱胶工艺条件，预测大麻纤维的果胶含量，对提高大麻纤维的可纺性具有重要的意义。

According to the equation of laser transmission in atmospheric turbulence field, has ratiocinated the relations between the system error rate and the luminous intensity fluctuation under the condition of different number of the transmitting antenna and the correlation coefficient.

根据激光在大气湍流场中的传输方程，分析了在发射天线数目和相关系数不同的条件下，系统误码率和光强起伏的关系。

Based on the theory of two-phase fluids dynamics, the general governing equation is established, which is applied to the fields of seepage, consolidation and deposit. For the first time, the mechanics properties of the soil affected by seepage are studied by the means of experiment. The problems of the modified indexes of mechanics and constitutive relation are solved due to the formulations obtained of mechanics parameter under seepage condition. Applied fuzzy theory and modern project design method, the fuzzy probability model for stability analysis is stetted up; Considered variation of mechanics parameter and curtain effect, the deformation patterns of deep execution are systematically analyzed.

基于两相流理论，推导了适用于渗流、固结和沉积的统一形式的控制方程；试验研究了渗流作用下土的力学性质的变化规律，经综合分析得到力学指标的定量表达式，为工程设计和数值计算中力学参数的确定提供了参考；基于模糊理论和现代工程设计方法，建立了基坑失稳的模糊概率模型，为基坑稳定性预测提供了新的方法；对基坑变形规律作了系统分析，考虑了土性变化和帷幕防渗效果对支护结构变形的影响，得到了较满意的结果。

All these show that taking the equilibrium line altitude of alpine glacier as a proxy of climate changes and calculating the climate condition from the equation is feasible.

证明利用山地冰川平衡线高度作为气候变化的代用指标，并且对气候状况进行半定量推断是可行的。

In the second part of of this thesis, we firstly derivate the operation condition of intracavity SHG of dualwavelength laser from the rate equation, and then numerically calculate the relationship between the laser operation parpmeters and the pumping powers. And then we discuss two possible ways to get balancing outputs of the harmonic waves of the two wavelengths. By comparing the two ways, we find that the method by increasing the geometrical factor of 1079. 5nm SHG has the higher efficiency than the method by adding the additional loss of 1079. 5nm basic wave. Besides, the first method is easier to realize in experiment than the second method.

本论文第二部分从速率方程出发，通过求解速率方程的稳态解得到了Nd：YAP腔内倍频双波长激光的连续运转条件，数值计算得到了随泵浦功率变化的激光运转情况；计算、分析了通过增加主波长的倍频耦合几何因子和增加主波长的腔内损耗两种方法获得均衡的双波长倍频输出的运转情况，通过二者的比较，发现增加倍频耦合几何因子的方法比增加损耗的方法效率更高，而且在实验上更易于实现。

We classified the forest fuel and studied the fuel spatial distribution based on forest inventory and sample plots. Vertical and horizontal distribution of fuel is calculated from sample plots and tree biomass equation. Based on fuel distribution, wind simulation and DEM, fire intensity and effective shaded fuelbreak width are calculated under the condition of crown fire occurrence.

根据历史气象数据确定当地平均最大风速平均值为3.6m/s，平均最大风速的最大值为14m/s，在此情景下，结合DEM数据和可燃物数据对研究区域的林火强度进行计算，并对防火林带的有效参数进行确定。

The method is as follows that the two ends of a nanometer are fixed on two pivots and an axial micro-pulling force T is applied on the nanometer; an electrode is arranged on the middle part of the side of the nanometer and an alternate voltage is applied on the electrode to motivate the nanometer to generate resonance, and therefore, the natural frequency f of the nanometer is measured and acquired; according to the material characteristics and the geometry characteristics of the nanometer as well as the boundary condition of the nanometer material, the relation between the natural frequency and the axial pulling force of the nanometer, namely the f-t curves of the nanometer, can be calculated by a vibration equation; according to the measured natural frequency f, the size of the micro-pulling force T can be acquired.

该方法将一根纳米材料的两端固定在两个支点上，给纳米材料施加一个轴向的微小拉力T；在纳米材料的侧面，位于该纳米材料的中部放置一个电极，在电极上施加一个交变的电压激励纳米材料使其发生共振，测得纳米材料的固有频率f；根据纳米材料的材料特性和几何特征以及纳米材料的边界条件，由振动方程计算出该纳米材料的固有频率与所受的轴向拉力的关系，即纳米材料的f-T曲线；根据上述测得的固有频率f，得到微小拉力T的大小。

And trust region type algorithm with memoryless technology not only satisfies new factorized quasi-Newton equation, but also saves much storage and algebraic operations than the original factorized quasi-Newton methods.we prove it posses the global convergence and the local superlinear convergence under some condition.

本文中利用无记忆技术产生的无记忆型信赖域算法不仅满足新分解牛顿方程，具有其所有的良好性质，而且比一般的分裂拟牛顿法节省存储空间，减少计算量。本文证明了在一定假设条件下该算法具有全局收敛性及局部超线性收敛性。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。