查询词典 compatible system of algebraic equations

Wave equation, heat conduction equation and Laplace's equation are the second-order linear equations.

波动方程、热传导方程和拉普拉斯方程都是二阶线性方程。

With incidence condition, solution of the coupled-mode equations can be obtained by inversion of the Laplace transform.

然后根据给定的初始条件进行拉普拉斯变换反演，求出耦合模方程组的解。

"Transform",The Laplace transform can be used to solve the state equations for the state and output vectors.

"，"拉普拉氏转换可以用来解状态方程的状态向量和输出向量。

CFD ; navier-stokes equation ; laplacian ; regular grid ; partial differential equations

其中，主要包括基于网格的欧拉法和基于粒子的拉格朗日法。

At last, this study also takes the sensitivity analyses of input parameters for the prediction equations. The result shows that Bowen Ratio is the most influencing surface parameter for the development of the MH and the same with the potential temperature lapse rate in the layer above mixing height.

本文亦针对混合层预测式所需输入之各参数进行敏感度分析，结果显示Bowen Ratio为影响混合层发展最显著的地表参数，而混合层上方位温斜率值对於混合层高度的发展亦有相当程度之影响。

By using the conformal mapping technique and the Laurent series expansion, a group of equations to predict effective bulk modulus and transverse shear modulus of multiphase fiber composites was obtained.

通过解析函数的保角变换与罗朗级数展开，获得了相应问题的解。根据复合材料平均应力与应变关系，获得了混杂纤维复合材料横向剪切模量和体积模量的预测公式。

And we show the form of the reduced density matrix master equation and its solution at first .Then we derive the solutions of Ohmic spectrum and Laurent series spectra master equations. Finally, we make analysis of the solutions of stochastic process and their coefficients from the cumulants, late time uncertainty function and linear entropy

首先展示了有关约化密度矩阵主方程的形式和解的形式；接着推导出欧姆谱和分洛朗级数谱这两个随机过程主方程的解；最后从累积量，延时不确定关系和线性熵等方面来研究随机过程主方程的解及其系数特点。

In this paper, a new vehicle collision model based on deformation energy is presented, through establishing two supplement equations based on restitute coefficient and energy loss, and combining the law of conservation of momentum, the speed before collision can be calculated.

提出了基于变形能的汽车碰撞分析新模型，以动量守恒为基础，根据恢复系数与碰撞过程中的能量损失，建立补充方程来进行碰撞过程的分析计算。

In part I, using the concatenating method and the discrete Leibnitz rule, we construct three multisymplectic algorithms, three local energy-conserving algorithms and one local momentum-conserving algorithm for the second order nonlinear Schrodinger equations.

第一部分利用复合构造方法和离散Leibnitz法则，给出了二阶非线性Schrodinger方程的多辛守恒格式，局部能量守恒格式和局部动量守恒格式，并给出了详略的推导过程。

The four different ERH/EMC models including the Henderson, Chung-Pfost, modified Halsey and Oswin equations were respectively used to investigate the fitting agreement of the measured data. Based on the comparison of the residual distributions, the coefficient of determination R2 values, the residual sum of squares SSE values, and the mean relative percentage deviation P values obtained from the regression analysis of six temperatures 20、30、35、40、50 and 60 ℃ tests, the Oswin model with two parameters and the modified Oswin model with three parameters all had the equivalent representative to the prediction of ERH/EMC values for the samples of lemon balm, and was also the best predicting models for the desorption isotherms of lemon balm.

试验时分别以四种平衡含水率模式，即Henderson、Chung-Pfost、修正Halsey与Oswin方程式，经由量测数据适称性之探讨，综合回归分析之残差图及决定系数R2值、残差平方和SSE值与平均相对偏差百分比P值比较后，获致在六个温阶20、30、35、40、50与60 ℃下，Oswin二参数模式与修正Oswin三参数模式皆具有相等的之平衡含水率与平衡相对湿度之适用代表性，可作为香蜂草去湿平衡含水率之最佳预测模式。

Methods Clinical data of 3 cases of bile duct injury during laparoscopic cholecystectomy were analyzed retrospectively.

回顾总结3例LC术中胆管损伤的临床资料，分析3例胆管损伤的原因及对策。

These techniques are applied to the gobang.

本文将这些技术用于五子棋中。