变量代换

通过变量代换，该非线性蠕变方程可化为Logistic方程。

And by using variable substitution , the nonlinear creep equation can become of the Logistic equation .

通过变量代换，发现钢丝绳的运动方程是一个典型的Mathieu方程。

By means of the variables substitution , it is found that the equation of motion for the rope is just a Mathieu equation .

通过变量代换，将该问题转化为一维Hausdorff矩问题。

By variable transform , it is transformed to a Hausdorff moment problem .

随后，通过变量代换，我们将本文所考虑的Cauchy问题的形式幂级数解转化为一个q-级数。

By variable substitutions , we can transfer the divergent formal solution to our Cauchy problem into a q-series .

Dietz的接触率以一年为周期的SIR流行病模型推广到一般情况，对该模型进行变量代换并且列入三个参数，得到了次谐和解的分叉方程以及它们的稳定性。

Dietz with annual oscillation in contact rate is generalized , into which the dependent variables and three parameters are introduced .

针对水平面内绕定轴转动的柔性机械臂，利用变量代换和Hamilton原理，采用非约束模态法，推导出了其无量纲化的刚、柔解耦动力学方程和相应的频率方程。

The dimensionless rigid-flexible decoupled dynamic model and the frequency equation of flexible manipulator which is rotating around a fixed axle in the horizontal plane , were explored according to unrestrained modal , variable substitution and Hamilton principle .

在给出载流薄板的磁弹性非线性运动方程，电动力学方程的基础上，通过变量代换将描述载流薄板的磁弹性状态方程整理成含有10个基本未知函数的标准柯西（Cauchy）型。

Based on the nonlinear magneto-elastic kinetic equations and the electrodynamics equations of thin current-carrying plates , the nonlinear differential equations of normal Cauchy type , which includes ten basic unknown functions , are obtained by means of variable replacement method .

虽然大多数亚式期权都可以通过引用适当的变量代换降低维数，但是只有几何平均亚式期权的定价可以得到Black-Scholes类型的封闭形式解。

Though most Asian options permit a reduction in the dimensionality of the problem by use of a similarity variable , we can only obtain explicit solution for the price of geometric average Asian options by an appropriate Black-Scholes model .

通过变量代换，发现箕斗运动微分方程是可求解的Bessel方程，从而得到了装载过程中箕斗的弹性位移、速度、加速度和天轮处钢丝绳的张力的解析表达式。

By means of variable substitution , it is found that the differential equation of motion is a Bessel equation . Based on the equation , responses of elastic displacement , velocity , acceleration of skip and cable tension close to sheave were deduced .

本文提出一种稳定的模拟光波导中波传播的显式时域方法，该方法以Dufort-Frankel法和变量代换法为基础，采用了显式的差分方法，计算快速，节省内存，行之有效；

An explicit and stable time-domain method for solving the propagation of wave envelope in optical structures is proposed . Based on Dufort-Frankel method and variable change , it is a explicit difference .

求积分值的一种重要方法是变量代换法。

An important method for evaluating integrals is a change in variables .

基本不等式和变量代换法的几个应用

Some Applications of the Elementary Inequalities and the Variable Substitution

变量代换法计算缝隙天线互导纳

On the calculation of mutual admittance of slotted antenna using change of variables

条件极值与变量代换

The Conditional Extreme Value and Substitution of Variable

信号的线性变量代换

Linear Replacement of the Argument for Signals

用变量代换求解几类线性微分方程

Solving Linear Differential Equations with Variable Substitution

几类应用变量代换求解的常微分方程

Several Ordinary Differential Equations Applying Variable Substitution

用变量代换法求函数极值与最值的几个结论

A Few Results of Solving Extreme Value and Maximum of a Function Application of Variable-Substitution Method

无数的变化[变形]几类变系数微分方程化为常系数方程的变量代换法波及系数随时间的变化过程

Variable Substitution Method For Changing Several Kinds of Variable Coefficient Differential Equation Into Constant Coefficient Equation

根据空间几何条件并通过变量代换，确定了机构角台的位置和姿态。

The orientation is successfully determined by coordinate transformations in terms of the special geometric conditions .

首先对航天器运动方程进行变量代换，将方程中的小参量分离；

Firstly , the small parameters have been divided from the motion equation by variable substitution .

在求解加权系数时，使用一个新的变量代换得到了一组新的加权系数，从而得到一类新的分数傅立叶变换算子，因此，推广了分数傅立叶变换的定义。

Firstly , using another variable transformation , the new different weighted coefficients will be obtained .

具有重特征根的一类二阶常系数线性非齐次微分方程的变量代换解法

Solving the Constant Coefficient Non-homogenous Quadratic Linear Differential Equations with Repeated Characteristic Roots by Variable Replacement

条件极值与变量代换项目开发强度临界值具备条件性和多样性特征；

The Conditional Extreme Value and Substitution of Variable The critical development intensity is conditional and variable .

通过变量代换将非凸和不可分离的原问题转化为基于对偶分解的凸优化问题。

By applying appropriate variable transformations , we transform the non-convex and non-separable primal problem to a dual-decomposable convex problem .

欧拉方程一般都是用“变量代换”法求解的，但其过程一般都比较繁琐。

In general , Euler equation is solved by the method of variable transformation , but the procedure is complicated .

借助于变量代换，求解几类线性微分方程，并得到了几个求解的充分必要条件。

With variable substitution , several kinds of linear differential equations are solved and several sufficient and necessary conditions are obtained .

借助于因变量代换，得到了三阶变系数线性微分方程的若干新的可积类型。

Application of the transformations of function , some new integrable forms of third-order linear differential equation with variable coefficients are obtained .

采用变量代换的方法，处理水波的自由边界，获得了新的水波控制方程和边界条件。

The method of variable substitution in the water-wave equation and boundary conditions , this paper deals with the free-surface of the water-wave .

并利用自治梯度系统与突变模型的等价性，通过变量代换得到标准的尖点突变模型。

Due to the equivalence between autonomous gradient system and catastrophe model , a standard cusp catastrophe model can be obtained through variable substitution .