查询词典 rational fractional function

In Chapter 2, starting from the basic fractional ordinary differential equations,weapply a high order approximation of fractional derivative advanced by Lubich to frac-tional differential equation, construct a high numerical difference scheme to solve thefractional differential equation, present error analysis of the algorithms theoretically,and prove the consistency ,convergency and stability.

接下来的第二章中，首先从基本的分数阶常微分方程出发，对Lubich提出的一个关于分数阶导数的高阶近似，将其应用于分数阶微分方程，构造高阶数值差分格式来进行分数阶微分方程的数值求解，并在理论上给出这一算法的误差分析，证明了它的相容性，收敛性和稳定性。

In this paper we first present some essential properties for continue fractional Fourier transform and discrete fractional Fourier transform.

首先讨论了连续分数傅立叶变换和离散分数傅立叶变换并提出了一些重要性质。

Based on pretty performance of fractional Fourier transform, discrete fractional cosine transform adaptive filtering algorithm is proposed.

针对分数阶傅里叶变换的分数阶次不确定问题，提出一种寻找最优分数阶次的方法：建立分数阶次和失调的关系曲线。

Fractional Fourier transform procedure, this is a discrete fractional Fourier change process.

分数傅里叶变换程序，这个是离散分数阶傅里叶变化程序。

We construct an explicit finite difference approximation for the equation by using the equivalence relation between Riemann-Liouville fractional derivative and Grünwald-Letnikovmake fractional derivative.

再利用Riemann-Liouville分数阶导数与Grtinwald-Letnikov分数阶导数之间的等价关系，构造一显式有限差分近似，这一离散格式可以解释为一个随机游走模型，并且收敛于稳定的概率分布。

Experimental results show that the fixed vector hierarchical fractional coding approach achieves higher compression obviously, and it codes and decodes faster than the standard fractional block coding method.

实验表明，与基本的分形块编码方法相比，本文提出的固定矢量层次分形编码方法在保证一定的重建图象质量下，使图象的压缩比有了明显的提高，并且大大提高了编码和解码速度。

This paper presents a new fractional block coding approach with concept of fixed vector. The approach uses lineral combination of fixed vector in image flat, and it adopts hierarchical thought about fractional coding.

将固定矢量的概念应用于分形块编码中，对图象的平缓区进行固定矢量的线性组合编码，并且在分形编码中，采取了分层处理的思想。

Satisfactory numerical validation is presented including a preliminary investigation of time step effect and the value of fractional derivative order for different types of fractional differential equations.

数值算例对不同的分数阶微分方程进行了讨论，探讨了不同的分数阶和时间步长对计算结果的影响，并将计算结果与文献中相关算法的计算结果进行了比较。

In this paper,a space fractional differential equation is considered.The equation is obtained from the advection-diffusion equation by replacing the second order derivative in space by a fractional derivative in space of order.

考虑空间分数阶微分方程(即在一个标准的扩散-对流方程中，用分数阶导数代替空间二阶导数)，给出了该分数阶微分方程的显式和隐式有限差分格式。

The main research contents and results are described as follows:The constitutive equation of the elastomer modeled by the fractional derivative Maxwell model has been investigated. Based on the thermodynamics constraints analysis of the physical parameters of the fractional derivative Maxwell model, the relaxation modulus and the creeping modulus of the model are analyzed.

本论文针对该目的，采用理论研究与试验研究相结合的方法，首先研究了胶泥缓冲器的耗能机理，进而设计开发了较理想的缓冲器产品，具体研究内容和成果如下：研究了胶泥的本构模型——分数微分Maxwell模型。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。