导函数

The present paper applies the quadratic splines to the Chemical Engigeering calculations for integration, interpolation and differentiation with good precision.

在样条函数的研究和应用日益广泛的今天，作者将人们所忽视的二次多项式样条函数引用到化工计算中的插值，求积和求导等方面，取得良好的结果。

This paper discusses a variation equation problem in a class of singular stochastic control with stopping time,gives its solution under two different conditions,which is a one order continuous differentiable and concave function,and gives the exact form.

讨论了一类带停时的奇异型随机控制问题中的一个变分方程问题，并且在两种不同的情况下给出了该变分方程的解，即为一阶连续可导凹函数，并在两种情况下给出了此函数的具体形式。

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。

From equations eliminated some unknown function and its derivative, are contained only one unknown function with constant coefficient of linear differential equations.

从方程组中消去一些未知函数及其各阶导数，得到只含有一个未知函数的高阶常系数线性微分方程 9。

This article is mainly discussed the relation between some important concepts and conclusions about the Limit of Sequence, the Limit, Continuity ,Differentiability, Integrability of Function, the Infinite Series , and the Limit, Continuity, Derivativeness,Differentiability of Multivariable Function ,as well as the Multiple Integral, and Integral with parameter .

本文对数列极限，一元函数的极限、连续性、可微性、可积性，无穷级数，多元函数的极限、连续性、可导性、可微性以及重积分，参变量积分中的一些重要概念和结论之间的关系进行了一些探讨，每一个问题都作了适当说明或举出反例，并对一些相关的内容进行了讨论，得到若干结果。

In this paper from three aspects, we discuss the structure of the three-level absolute continuous that are derivation,integration and resolution of convex function.

从导数、积分及凸函数分解3方面讨论了三级绝对连续函数的结构，给出了一些特性。

However, the smoothness and convergence of these methods are not satisfactory. Because cubic spline function can be a piecewise, and its second order derivative is continuous, it is smooth and convergent.

但以上算法的光滑性和收敛性不好，而三次样条函数具有连续的二阶导数，且可采用分段函数的形式，具有很好的光滑性和收敛性。

Firstly, with Gaussianizing filter being defined explicitly, a practical method on filtering performance evaluation is given. Secondly, two typical Gaussianizing filters are studied. One is called the U-filter, based on the probability density function and its derivate. The other is called the G-filter, based on the cumulative distribution function and its inverse. After implementation, mechanisms and performances of each filter are contrastively discussed, an example with lake trial is illustrated.

本文给出高斯化滤波的定义和效果评价方法，然后对比研究了基于概率密度函数及导数的U滤波和基于累积分布函数及反函数的G滤波两种高斯化实现方法、原理与性能，并使用一组测试数据刚试了它们各自的高斯化效果。

Give examples to show that the derivate of elementary function may be unelementary function.

给出实例说明初等函数的导数可以是非初等函数。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。