查询词典 fractional derivative

The content of this course is: analytic function (the definition of analytic function, elementary functions, etc.), conformal mapping (the definition if conformal mapping, fractional linear functions, elementary mappings, etc.), complex integration (Cauchy's integral formula, Cauchy's theorem, etc.), Series (Laurent Series, singularities, local property, etc.), residues and its applications (the Residues Theorem, integration by residues, the Argument Principle, the Maximum Principle, Schwarz's Lemma, etc.), analytic continuation and harmonic functions, etc.

本课程内容主要包括：解析函数(解析函数的定义、初等函数等)、共形映射(共形映射的定义、分式线性变换及初等映射等)、复积分(Cauchy 积分公式、 Cauchy 定理等)、级数(Laurent 级数、孤立奇点、局部映射等)、留数及其应用(留数定理、利用留数计算积分、幅角原理、最大模原理、 Schwarz 引理等)、解析开拓和调和函数等内容。

Unfortunately, most of the analytical solution for fractional differential equation are complicated owing to complex series or special functions.

然而大多数分数阶微分方程的解析解含有复杂的级数或特殊函数，不利于近似计算。

During the evolution of these granitoids which resulted from rejuvenation and anatexis of the old basement (1200-2000Ma), the main ways for REE differentiations were:(1) partial melting;(2) fractional crystalization;(3) thermogravitational diffusion;(4) differentiations of metamorphism and migmatism, and (5) hydrothermalism.

在花岗岩的形成和演化过程中，有五种最主要的方式造成REE的分馏作用：(1)部分熔融作用；(2)分离结晶作用；(3)热重力扩散作用；(4)变质-混合岩化作用和(5)热液流体作用。

The mathematical equation of dependence of anolyte volume on fractional conversion, the expression of reaction rate, and the macro-kinetic model were established, and the macro-kinetic parameters were calculated.

建立了阳极液体积随转化率变化的数学方程、反应速率表达式和宏观动力学模型，确定了宏观动力学参数。

The kinetic data such as anolyte volume, fractional conversion, etc., were experimentally measured at different reaction times, different temperatures and different initial anolyte concentrations.

实验测得不同温度、不同初始阳极液浓度、不同反应时间下阳极液体积、转化率等宏观动力学数据。

If these n independent random variables have nearly uniform distribution densities then the fractional part defined above will converge to uniform distribution when n approach to infinity.

论文以随机数产生、随机变量产生和方差衰减为主线，系统研究了随机系统仿真中的一些基本问题，提出了解决这些问题的若干办法，得到了一系列的结论。

Using this method, we will get the approximate solution of the fractional differential equations.

第三章在第二章的基础上把这个方法推广到更加复杂的分数阶微分方程，同样通过数值例子表明了该方法的高精度性和有效性。

One is the asymptotic nature with the solution of small fractional damping oscillator.

一类是具有小分数阶阻尼振子解的渐近性。

For the accelerating targets, an autofocus algorithm based on fractional Fourier transform is proposed.

针对加速转动的目标，提出了一种基于分数阶傅里叶变换(FRFT：fractional Fourier transform)的自聚焦算法。

By averaging the nonzero weights of operator template to the image pixels which have the same distance to constant coefficient "1" as well as utilizing self-dependency of surrounding pixels, an improved fractional order differential operator template was achieved.

将算子模板的非零权值平分到与常系数"1"距离相同的像素点中，利用周围像素点的自相关性，得到一种改进的分数阶微分算子模板。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。