形式导数

词组短语

formal derivative

与形式导数相关的网络例句 [注：此内容来源于网络，仅供参考]

Because the derivation of the extended system has a block lower triangular form, the method of splitting iteration is applied to compute simple bifurcation point, not only computational work is reduced, but also local quadratic convergence is achieved.

由于所构造的扩充系统的导数具有分块下三角形式，采用分块迭代的方法进行数值求解，不仅减少了计算量，而且是二次收敛的，从而为Navier-Stokes方程非退化简单分歧点的数值逼近提供了有效的算法。

By discussing the position hypothesis of fractional-dimension derivative about general function and the formula form the hypothesis of fractional-dimension derivative about power function, the concrete equation formulas of fractional-dimension derivative, differential and integral are described distinctly further, and the difference between the fractional-dimension derivative and the fractional-order derivative are given too. Subsequently, the concrete forms of measure calculation equations of self-similar fractal obtaining by based on the definition of form in fractional-dimension calculus about general fractal measure are discussed again, and the differences with Hausdorff measure method or the covering method at present are given. By applying the measure calculation equations, the measure of self-similar fractals which include middle-third Cantor set, Koch curve, Sierpinski gasket and orthogonal cross star are calculated and analyzed.

通过讨论一般函数的分维导数的位置假设及幂函数的分维导数的形式假设，进一步明晰了幂函数的分维导数、分维微分及分维积分的具体方程形式，给出分维导数与分数阶导数的区别，随后讨论了基于一般分形测度的分维微积分形式定义导出的自相似分形的测度计算方程具体形式，给出了其与目前 Hausdorff 测度方法的区别，并对包括三分 Cantor 集合、 Koch 曲线、 Sierpinski 垫片及正交十字星形等自相似分形在内的测度进行了计算分析。

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。

Reduce the computing complexity of magnetic field integral equation with differential quotient, which makes the computing which combined field integral equation more efficiently.

在AIM算法的实现技术方面作了两个改进：一是采用了新的多极子展开方案，保证了迭代的数值稳定性；二是在差商逼近偏导数的过程中全部采用二阶形式，保证了差商逼近偏导数的精度。

The paper expounded internal difference between 0/0 of the derivative and of algebra, and discussed in detail the dual nature of 0/0 about algebraic substance of derivative on the basis of the philosophical thought about the concept of the differential quotient of Marx and Engels, and thus answered how derivative itself is converted to differential quotient logically.Then the discussion was extended to the Concept of the partial derivative, and proved that the form of differential quotient converted f...

本文依据马克思、恩格斯关于微商概念的哲学思想，阐述了代数的0/0与导数的0/0的内在差异，并详细讨论了导数的代数实体0/0的双重性质，从而回答了导数本身是如何合平逻辑地转化为微商的问题；其次，把这一讨论推广到偏导数的概念中去，论证了偏导数转化为微商形式的合理性，以及偏微商表述的意义，文中还就微商所牵涉到的形式逻辑与辩证逻辑的问题做了具体分析。

The paper expounded internal difference between 0/0 of the derivative and of algebra, and discussed in detail the dual nature of 0/0 about algebraic substance of derivative on the basis of the philosophical thought about the concept of the differential quotient of Marx and Engels, and thus answered how derivative itself is converted to differential quotient logically.Then the discussion was extended to the Concept of the partial derivative, and proved that the form of differential quotient converted from pa...

本文依据马克思、恩格斯关于微商概念的哲学思想，阐述了代数的0/0与导数的0/0的内在差异，并详细讨论了导数的代数实体0/0的双重性质，从而回答了导数本身是如何合平逻辑地转化为微商的问题；其次，把这一讨论推广到偏导数的概念中去，论证了偏导数转化为微商形式的合理性，以及偏微商表述的意义，文中还就微商所牵涉到的形式逻辑与辩证逻辑的问题做了具体分析。

We give some equivalent characterizations of Bloch type functions in term of fractional derivative, via studying the relative of growth of the different order fractional derivatives of holomorphic function, including the form of supremum and limit, the form of integral and Carleson measure, which are the generalizations of some known results in the unit disc and in the unit ball.

我们从研究全纯函数分数次导数的增长性入手，利用分数次导数给出了它的一类刻画，包括上确界和极限形式的特征，积分形式的特征以及Carleson测度形式的特征，推广了单位圆盘和单位球上一些已有的结论。

About the title of statistic of planar vector, probability, its solve problem process to permeating function form not only, and still permeating function thought; again criterion the tool that derivative is research function, had derivative, function content more appear profundity, rich and colorful.

有关平面向量、概率统计的题目，其解题过程不仅渗透着函数形式，而且还渗透着函数思想；再则导数是探究函数的工具，有了导数，函数内容就更显得深刻、丰富多彩。

Fractal dimension structure of the Cosmos are explored, and the mathematical foundation, which include the expressions of fractal dimension differential and calculus, regular space integral solutions of fractal dimension differential equations, the fractal calculus definitions of fractal measure as well as the measure computational equation of self-similar fractal, of fractal dimension calculus and fractal measure are given.

摘 要：探讨了宇宙分维构造的形式，给出了分维微积分及分形测度的数学基础，包括分维导数及分维微积分的表述形式、分维微分方程的规整空间积分解、分形测度的分维微积分定义及自相似分形的测度计算方程。

In Chapter 1,some basic concepts and related qualities areintroduced,for example,Gateaux derivative,Fréchet derivative and the complexform for elliptic systems of equations etc.

第一章我们介绍了Gateaux导数和Fréchet导数的概念、有关性质以及椭圆型偏微分方程组的复形式与椭圆型条件等基础知识。

与形式导数相关的网络解释 [注：此内容来源于网络，仅供参考]

exterior differential：外微分

exterior derivative 外导数 | exterior differential 外微分 | exterior differential form 外微分形式

first fundamental form：第一基本形式

first derivative 一阶导数 | first fundamental form 第一基本形式 | first fundamental form of surface 曲面的第一基本形式

formal derivative：形式导数

formal 形式的 | formal derivative 形式导数 | formal language 形式语言

Integrating factor：积分因子

方法是积分因子(integrating factor)法. 思想就是等式两边同乘u(x)希望等式左边是一个东西的导数形式,然后两边积分就好了. 最后解出来积分因子是exp(intP(x)). 大概就是这么个东东.

linear form：线性形式

"...微积分学的基本思想乃是以线性函数来作函数的'局部,近似.碰巧我们有这样一个事实:对于卜维向量空间来说,在线性形式(linear form)与数(numbers)之I'ul,存在一种一一对应关系,所以在某一点的导数就被定义为一个数而不是一个线性形式.因此,

Martingale approach：鞅方法

数第二步就是把这个(函数形式的)最 优消费/投资策略代入到HJB 方程这便得到一个非线性的偏微分方程解这个方程17 第 三步把方程的解和它的偏导数代入最优消费/投资策略函数得到它们的显性解 2)鞅方法(martingale approach)18 这种方法出现

second factor：第二因子

second derivative 二次导数 | second factor 第二因子 | second fundamental form 第二基本形式

Bianchi identity：毕安其恒等式

它涉及到协变导数:...给定流形某点的任一坐标表示,上述恒等式可以用黎曼曲率张量的分量形式表示为:另一个有用的恒等式可以由上面这些导出:...称为毕安其恒等式(bianchi identity),经常也叫第二毕安其恒等式(Second bianchi identity)或