导数

The continuity and differentiability for composite function are the important content in advanced mathematics.

对高等数学中复合函数的连续性条件进行了弱化改进，得到了类似复合函数连续及在x0处极限存在的充分条件，对复合函数的可微性条件进行改进，得到了复合函数可微以及在x0处存在左右导数的充分条件。

Chapter 3 studies the compactness of product operators of a composition operator C〓 with the adjoint C〓 of another composition operator C〓 on weighted Bergman spaces A〓. We give some conditions in terms of angular derivatives of the inducing maps ψ and ψ for the operator C〓C〓 or C〓C〓 to be compact.

第三章研究了加权Bergman空间上的一个复合算子C〓与另一个复合算子C〓的共轭算子C〓的乘积C〓C〓与C〓C〓的紧性问题，我们用φ与ψ在〓D上的角导数的某种关系给出了C〓C〓与C〓C〓在A〓上为紧算子的一些判据。

The observed pressure derivative curve shows a concave shaped curve like a dual porosity behavior, but the curve never reaches the second flat state.

观察到压力导数曲线呈凹状曲线就像一个双重介质行为，但该曲线从未到达的第二个单位。

Inequality proof of various ways, they were: use derivative testify inequality nature, Includes using functional monotonicity and extreme value, the function and the concave and convex inequality, proving is concave and convex function in the original definition of equivalent definitions and a lemma is proposed on the basis of relevant concave and convex function of several theorems about inequality, and briefly discusses how to use the definitions and theorems in proof of inequality.

不等式的证明方法多种多样，它们分别是：用导数性质证明不等式；包括利用函数单调性，极值与最值，函数凹凸性证明不等式，其中在给出凹凸函数原始定义等价的解析定义和一个引理的基础上提出有关凹凸函数关于不等式的几个定理，并简要阐述了利用定义和定理在证明不等式中的运用。

Theorem A.If the density function fhas the first derivative andlogfis a concave function,the MLE of〓for the two-sample location modelPL uniquely exists.

定理A。若密度函数f具有一阶导数并且logf是严格的凹函数，则对于双子样位置参数模型在PL的限制下，〓的MLE唯一存在。

Theorem C.If the density function fhas the second derivative andlogfis a concave function,the MLE of〓for two-sample scale model PSuniquely exists.

定理C。若密度函数f具有二阶导数并且logf是严格凹函数，则对于双子样尺度参数模型在PS条件限制下，〓的MLE唯一存在。

Then in combination with its concavo-convex function,a simple and direct proof can also be found by using theorem deduction.

通过给出关于凹凸函数的一个性质定理及其推论，对一些特定类型的三角不等式通过构造辅助函数，求出函数的二阶导数；再结合其凹凸性利用定理的推论给予简捷的证明。

In chapter 2,by referring to the algorithm in paper[7],we present a class of conjugate gradient methods connected with Hestenes-Stiefel Algorithm.

在第一章中，我们首先简要的介绍了最优化问题的提出以及判断最优解常用的最优性条件；回顾了求解无约束优化问题常用的几类导数下降类算法。

The second time derivative is the constant acceleration.

它的二阶导数就是这个恒加速度。

Her breasts and buttocks illustrated Enneper's surface of negative constant curve, the differential coefficient of the pseudo-sphere.

她的双乳和臀部是艾纳帕的负恒曲面图和伪球面的导数。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。