阶数

Based on the chain rule techniques, AD seeks first or higher order derivatives of functions represented by a group of dependent program procedures and extended files, the so-called original model, through a number of code-to-code transformings under a series of differential rules.

基于链式求导法则的自动微分方法通过改写原程序模式代码，依赖机器自动构造不同的微分模式，来分析求解函数的一阶或高阶导数，即在一系列预定微分规则下对不同程序对象做从代码到代码的自动微分转换。

The characteristic of fractional order differential equation iscontaining the non-integer order derivative. It can effectively describe the memory andtransmissibility of many kinds of material, and plays an increasingly important role inengineering, physics, finance, hydrology and other fields.

分数阶微分方程的特点是含有非整数阶导数，能非常有效的描述各种各样的物质的记忆和遗传性质，在工程，物理，金融，水文等领域发挥越来越重要的作用。

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。

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。

According to the studies for this zero-order differential operator to make an expansion of a function, it can restrain border effect and control Gibbs effect.

并进一步构造了1阶和2阶导算子，对它们的导数矩阵的特性进行了研究，实现了用这样的导算子对微分方程的求解。

The boundary value problem for first-order differential equations with a parameter refers to the finite solution condition of equation which includes unknown quantity and its first-order derivative that not only relies on interval value but also relies on the parameter of the equation,which is always settled by fixed point theory or successive approximation method.

含一个参数的一阶微分方程边值问题是指：含有未知量及它的一阶导数的方程的定解条件不仅依赖于在区间端点的取值，而且依赖于方程中的参数。通常它用不动点定理或逐步逼近法来解决。

By Code extraction method is to investigate the edge of each image pixel in a neighborhood Gray-scale changes in the region, using the edge of the neighboring first-order or second-order directional derivative Changes of a few simple ways to detect the edge.

经 典的边缘提取方法是考察图像的每个像素在某个邻域内灰度的变化，利用边缘邻近一阶或二阶方向导数变化规律，用简单的方法检测边缘。

Rar can help factorial number of recursive algorithm is based on the learning algorithm design and

n的阶乘。rar 可以求数的阶乘是以递归算法为基础的对学习算法设计与

The solution and positive solutions are considered for a class of nonlinear fourth-order beam equations with first derivative.

考察了一类含有一阶导数的非线性四阶梁方程的解和正解。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。