1) second mixed partial derivative
二阶混合偏导数
1.
In this article,we have provided and proved a sufficient condition of the existence of generalized second derivative,meanwhile,we have discussed the relations between generalized second derivative and second mixed partial derivative of bivariate function.
给出并证明了函数在一点处广义二阶可导的一个充分条件,分析了二元函数在一点的广义二阶导数和二阶混合偏导数之间的关系。
2) mixed partial derivative of higher order
高阶混合偏导数
4) mixed partial derivative
混合偏导数
1.
At the same time we studied the exchange order theorem of its two second order mixed partial derivative.
应用函数列的极限与函数的极限交换次序定理,研究了二元函数的二重极限与它的两个累次极限的关系定理,研究了二元函数的两个二阶混合偏导数可交换次序定理。
2.
A further research is made on the two mixed partial derivatives of the binary function and comes to a full condition for their equality,which is weaker than the condition given in [1].
对二元函数的两个混合偏导数fyx(x,y)及fxy(x,y)进行了进一步研究,并得出了它们相等的一个充分条件,该条件比[1]中给出的条件更弱。
3.
When discussing whether the second mixed partial derivatives f″ xy (x,y) and f″ yx (x,y) have something to do with the sequence of derivation,most textbooks of mathematical analysis reach the conclusion that they have nothing to do with the sequence under the condition that they are continual.
大多数数学分析教科书讨论二元函数的二阶混合偏导数f″xy(x ,y)、f″yx(x ,y)与求导次序有无关系时 ,都是在其连续的情况下得出与次序无关的结论的 。
5) second partial derivative of shear modulus with respect to pressure
压强二阶偏导数
6) first-order partial derivative
一阶偏导数
1.
The method of the undetermined coefficient dealing with a first-order partial derivative is defined and presented.
介绍了待定系数法的定义及其基本思想,给出了该方法在处理热力学一阶偏导数中的应用及热力学关系式的证明和推导。
补充资料：偏导数
| 偏导数 partial derivative 二元函数z＝f（x，y）沿坐标轴方向的方向导数（或沿坐标轴方向的变化率）。即把z＝f（x，y）中的一个自变量y看作常数，于是z＝f（x，y）就成为关于x的一元函数，给x以改变量Δx，则有z关于x的（偏）改变量Δxz＝f（x＋Δx，y）－f（x，y），如果极限(  存在且有限，就称此极限为二元函数 z ＝f（ x，y ）在 P（x，y）点关于x的偏导数，记作 ，或 （x，y），类似地有
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