换元

第二类换元法是一种既重要又不易掌握的积分方法。

The second method of transformation is an important but not-easy-to-master calculus method .

重积分换元中Jacobians的几何含义

The Geometric Interpretation of Jacobians in the Transformation of Multiple Integrals

论换元修正Newton型方法

On exchange entry update Newton-like methods

双站聚束SAR极坐标格式成像算法关于利用极坐标换元法求二重极限的思考

Polar Format Algorithm for Bistatic Spotlight SAR Some Ideas About Seeking the Solution to Double Limit With the Substitution Technique of Polar Coordinate

你们应该了解换元法，让U等于某值，然后就能把式子变成udu的形式，这就是换元法了。

You should know also substitution , how to set U equals something , and then see , oh , this becomes u times du , and so substitution method .

之后我会讲到换元和Jacobian的，我认为这是不同的主题。

I will get to change variables and Jacobian soon , but I 'm thinking of this as a different topic .

结论躯体运动神经（L4VR）可以再生替代内脏传出和躯体运动混合神经，再生的神经纤维部分直接支配EUS，部分终止于MPG，在MPG内换元，由节后神经元支配膀胱；

Conclusion Somatic motor axons ( L4VR ) can regenerate into peripheral autonomic and somatic motor nerve fibers . Some of regenerate nerve fibers directly terminated EUS , and others terminated the MPG . Postganglionic neurons that project to the bladder were distributed in the MPG ;

作者采用正交的曲线坐标与坐标变换的概念，比较直观地阐明了Jacobians在重积分换元中的几何含义，即积分元素在不同的坐标系下的伸缩因子。

In this article , the geometric interpretation of Jacobian is expounded using the concepts of orthogonal curvilinear coordinates and transformation or mapping , that is , the adjustment factor of the integral elements in the transformation of multiple integrals .

二重积分换元公式的一种简便推导方法

Simple and Convenient Deductive Method of the Translation of Double Integral

利用定积分换元公式，可推导出一些非常实用的积分公式。

Several applied integral formula can be deducted from the method .

关于重积分换元公式证明的一个评注

A Remark on Change of Variables Formula for Multiple Integrals

含多个任意参数的广义变分原理及换元乘子法

Generalized Variational Principles with Several Arbitrary Parameters and the Variable Substitution and Multiplier Method

用换元法求连续型随机变量函数分布的两个问题

Two Problems in Finding the Distribution , of Continuous Random Variable Function by Substitution

有限群中两个可换元乘积的阶

Order of a Product of Group Two Elements

较强条件下三重积分换元公式的一种证法

A kind of indentification method of transform formulation of threefold integration under stronger condition

解布尔方程的换元法

Change of variables to solve Boolean Equations

矩阵分解因子的直接换元修正

Direct exchange entry updates of matrix factorizations

关于换元积分法的两点注记

A Note on Integral by Substitution

二元函数微分中值定理中值点的分析性质变量中含稳定点的第二积分换元定理及应用

Analytic Properties of the Intermediate Point in the Mean Value Theorem for Differential of Two-Variable Functions

我们现在来说明积分的换元公式也一样好记。

We shall now show that the change of variable formula for integrals is just as unforgettable .

用特定系数法、换元法、配方法探求二元二次函数的极值公式。

The extremal formula of binary quadratic functions is studied by using method of undetermined coefficients , substitution method and method of completing the square .

定积分换元法是定积分计算的主要方法之一。对称性在定积分计算中的应用

The method of the definite integral by substitution is one of the main techniques among the definite integral calculation . Application of the Symmetry in the Definite Integral Calculation

对高数的一类问题，初看起来，难以入手，而对这一类问题有时可利用换元思想解决之。

At a first glance , it is difficult to deal with some problems in higher mathematics , but sometimes they may be easily solved with the idea of changing variables .

第二换元积分法是求函数不定积分的一种重要方法，具有一定的适用范围，对某些无理函数的积分的求解通常使用该方法。

The integration by second substitution is an important method of calculating indefinite integral , it has a certain application , it usually applies to calculate some integrals of irrational function .

通过实例分析了在换元积分法中容易犯的一类错误及其产生的原因，指出了在解题中避免产生这类错误的一般方法。

Specific examples were cited to analyze the mistakes and causes in the use of integration by substitution , and the general method was pointed out to avoid such kinds of mistakes in operation .

高中数学中许多重要的数学思想方法如分类讨论、整体换元、数形结合、转化化归思想，都可以借助于不等式教学来实现。

High school mathematics discussed in many important mathematical thinking methods such as classification , overall in yuan , several form combining , the transformation of thinking , can be implemented by using inequality teaching .

以控制变分的概念探讨有限变形非对称弹性力学中两类变分原理的泛函π1和π2，并在此基础上用换元乘子法提出能满足全场方程的控制变量广义变分原理。

Two kinds of functional of variational principle π _1 and π _2 are studied in the concept of controled variational , and consequently the controled generalized variational principles are proposed using exchanging element method .

在定积分计算中初学者常用的计算方法有三种：（1）利用牛顿-莱布尼兹公式，（2）定积分的换元积分法，（3）定积分的分部积分法。

In calculation of definite integral , beginners tend to use three methods of calculation : ( 1 ) Leibniz formula ,( 2 ) integration by substitution of definite integral ,( 3 ) integration by parts of definite integral .

首先导出了厚板哈密顿对偶微分方程，然后采用换元乘子法导出了厚板哈密顿变分原理的泛函表示式，最后提出并证明了厚板理论的两个正交关系。

The Hamiltonian dual differential equations for thick plates are derived and the functional expressions of Hamiltonian variational principle are obtained using the variable substitution and multiplier method . Two orthogonality relationships of the thick plate theory are proposed and demonstrated .

可换四元数代数中一类一阶双曲方程的Riemann-Hilbert边值问题

The Riemann-Hilbert Boundary Value Problem for a First Order Hyperbolic Equation in Commutative Quaternion Algebra