一阶导数

Mean angular acceleration and the increment of angular coordinate as well as the first and second derivative of angular with respect to time is not only the physical quantities which often being used but also important physical quantities.

无限小角位移、有限大角位移、角速度、平均角速度、角加速度、平均角加速度和角坐标的增量以及角坐标对时间的一阶和二阶导数不仅是物理学中常用的物理量，而且也是很重要的物理概念。

As to its computing methods, this paper synthesizes six kinds, they are: utilizing a general integral method of complex function directly; utilizing Cauchy integral theorem; utilizing Cauchy integral formula; utilizing Cauchy high-level differential coefficient; utilizing Cauchy residue theorem; utilizing the residual of logarithm.

关于周线积分的计算方法，本文综合了六种，它们分别是：直接利用一般的复变函数积分的方法；利用柯西积分定理；利用柯西积分公式；利用柯西高阶导数公式；利用柯西留数定理；利用对数留数。

In this Chapter, we establish convergence theorem by using the majorizing method.

第二章，提出了一族具有三阶收敛迭代法，这族迭代法避免了求F的二阶导数。

ADAMS. According to a function with STEP5 has features of continuous first and second derivative,the higher degree of approximation,etc.,we test and verify feasibility of fore-and-aft movement and turning gait of the robot. Thus a solution of the Snake-like robot motion under the ADAM...

ADAMS软件对蛇形机器人进行了从样机模型建立到运动学仿真与分析等一系列研究；并根据STEP5函数具有一阶与二阶导数连续、较高的逼近程度等特性验证了蛇形机器人前后移动和左右转弯步态可行性；找到了一种在ADAMS环境下求解机器人运动的方法，简化了理论计算，提高了设计效率。

In Chapter 4, we consider more complex fractional nonlinear differential equation,also using the high order approximation presented by Lubich to construct correspond-ing numerical scheme and giving the error analysis of the algorithms.

在第四章中，进一步的考虑更复杂的非线性分数阶常微分方程，同样利用的是Lubich提出分数阶导数的高阶近似，构造相应的数值格式，并给出这一算法的误差分析，即相容性，收敛性和稳定性的证明。

This paper gives a method of image edge detection,using multiple edge features and fuzzy reasoning.To effectively extract edges,edge pixels are classified according to the difference of intensity distribution,and multiple effective edge features are defined.

图像边缘检测的传统方法一般仅基于边缘邻域的一阶或二阶导数这一单一特征，并且对模糊边缘图像不敏感，针对此问题，本文提出基于多特征和模糊推理的边缘检测算法。

KONG Xiang-wei,XIE Cun,XU Wei-ran(School of Electronic and Information Engineering,DUT,Dalian 116023,China)Abstract: This paper gives a method of image edge detection,using multiple edge features and fuzzy reasoning.

摘 要：图像边缘检测的传统方法一般仅基于边缘邻域的一阶或二阶导数这一单一特征，并且对模糊边缘图像不敏感，针对此问题，本文提出基于多特征和模糊推理的边缘检测算法。

Let be twice differentiable on the open interval. Then

如果函数在上连续，在内具有一阶和二阶导数，那么

In this project,we primarily investigated the growth of solutions of some types of differential equations,and the hyper order,the exponents of convergence of zeros and fixed points of solutions with infinite order, especially, expononts of convergence of fixed points of first, second order derivatives and differential polynomials of solutions.

中文摘要：在本项目中，重点研究了几种类型的微分方程解的增长性，及无穷级解的超级，零点收敛指数，不动点收敛指数，特别是解的一阶，二阶导数及微分多项式的不动点收敛指数。

In Chapter 3,we derive the second-order-derivative-free iterations with two parameters from the third-order iterations with one parameter to approximate the roots of nondifferentiable equations in Banach space.

第三章，从带一个参数的三阶迭代族出发，构造了一族免二阶导数计值带两个参数的迭代族，用其去逼近Banach空间中非线性算子方程的解。

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。