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.
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.
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.
定积分换元法是定积分计算的主要方法之一。
The method of the definite integral by substitution is one of the main techniques among the definite integral calculation.
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.
分析了不定积分的四种基本求解方法：直接积分、第一换元法、第二换元法、分部积分法。
There are four solutions of indefinite integration in paper: direct integration, the first exchangeable integration, the second exchange - able integration, parcel integration.
通过在积分换元、微分方程求解、多（一）元复合函数求全微分、偏导数及高阶偏导数中的应用举例，论述了一阶微分的形式不变性在微积分学中的作用不应被忽略。
Based on the theory of differential geometry and geodesy, the second order differential equation and the first differential relationship are derived on the regional earth ellipsoid in this paper.
你好。我想换10元的零钱。
求出了薄板稳定换热方程的基本解并论述了这类问题的边界元解法。
Fundamental solutions to steady heat transfer equation of thin plates are derived and the formulation of boundary element method is described.
元表的键值称为事件；值（换而言之就是函数）称为元方法。
The keys of the metatable are called events; the values (in other words, the functions) are called metamethods.
换而言之，我们是否可以不让真正的程序员来做这些工作，而是让领域专家仅仅使用元编程工具来设计并构建全部应用程序呢？
In other words, can we skip the actual programmers to do the work, and let the domain experts simply use metaprogramming tools to design and build their entire applications?
你给我换五张一元的票子好吗？
你有一百元零钱换吗？
应用有限元分析软件ANSYS计算了1045钢淬火时具有相变和非线性表面换热系数的温度场。
The temperature field with phase transformation and non-linear surface heat-transfer coefficient of steel 1045 during quenching is calculated with ANSYS program.
主要针对三元混合物的池内核态沸腾换热实验及关联式拟合进行了总结。
The experiments of the ternary mixtures and the heat transfer correlations are summarized.
用有限元法和实验应力分析法对波纹换热管在内压作用下的应力分布规律进行探讨。
Stress distribution rule about corrugated tubes for heat exchanger under the interior pressure was studied by finite element method and experiment investigation.
换一下零件不用很多钱（大多数的零件价格都是十元以下），而且换起来也容易。
Replacing toilet components is inexpensive (most pieces are less than $10) and easy.
本文说明了在用有限元模式对机械结构的幅射换热问题进行求解时，必须计算形状因子矩阵。
It has been shown in this paper, that in solving radiation heat transfer problems for finite element model of mechanical construction it is necessary to compute the shape factor matrix.
本文说明了在用有限元模式对机械结构的幅射换热问题进行求解时，必须计算形状因子矩阵。
It has been shown in this paper, that in solving radiation heat transfer problems for finite element model of mechanical construction it is necessary to compute the shape factor matrix.
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