分数

Lommel functions was used to represent the coefficients of ideal digital fractional differentiator, according to the relationship between two kinds of Lommel functions and the basic properties they each has, a new fast algorithm for coefficients of ideal digital fractional differentiator was presented.

利用Lommel函数表示理想数字分数微分器的系数，根据两类Lommel函数之间的关系和它们各自的基本性质给出理想数字分数微分器系数的一种新的快速算法。

It is difficult to compute directly the coefficients from the integral formula, since the integral function in the formula of the ideal digital fractional differentiator is a high-order oscillating function.

从理想数字分数微分器系数计算公式的特点考虑，利用变量代换把积分函数中的振荡因子转换成积分上限，避免高阶振荡函数积分计算，给出了计算分数微分器系数的递推公式。

Fractional integral is an essential branch of fractal theory. In this paper, the authors adopted fractional integral in the evaluation of time series dimension, which has a higher accuracy than other methods such as box dimension, gauge method and so on.

分数阶积分是分形理论的一个重要分支，应用分数阶积分进行时间序列维数估计，其精度比box维数、量规法等方法高。

In the first chapter, we firstly introduce the properties of weighted Herz spaces, then we establish the boundedness of fractional integral operators and maximal fractional operator with rough kernal on the weighted Herz spaces.

在第一章中，我们将先讨论加权Herz空间上的一些性质，再研究其上面的一类带有粗糙核的分数次极大算子和分数次积分算子的有界性。

The research on fractional system has absorbed more and more researchers.

对分数维的分数阶系统的研究吸引了越来越多的研究者。

Functional status for 7 activities of daily living was scored with the Minimum Data Set-Activities of Daily Living scale (0 - 28 points, with higher scores indicating greater functional dependence).

以日常生活活动最低资料分数（0-28分，分数越高代表功能依赖性越大）来将日常生活功能计分成七类。

In chapter 3, we study pricing of geometric average Asian capped calls, pricing of geometric average Asian option with transaction cost, pricing of the two kinds of exotic option in Fractional Brownian motion environment, pricing of capped calls with transaction cost in fractional Brownian motion environment.

在本文的第三章，研究了几何平均亚式上限型买权的定价，有交易成本的几何平均亚式期权的定价，分数次布朗运动环境中两种奇异期权的定价，以及分数次布朗运动环境中有交易成本的上限型买权的定价。

The change of mechanical properties and crystalline parameters during graphitization were also obtained.

研究结果表明，在制备沥青基炭纤维工艺过程中，各向同性沥青纤维的最佳氧的质量分数为19.63％，而各向异性沥青纤维的最佳氧的质量分数为8.03％。

Stormer, and the experimental verification of the fractional quantum Hall effect are reviewed.

Stormer发现分数量子霍尔效应和分数量子霍尔效应的实验验证等过程。

As a result, four major findings are provided in this research: First, the hortative strategy can enhance learning of students.

二、在社会学习态度问卷与社会学习成就测验中，学生后测分数皆优於前测分数。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。