Weierstrass function

On the fractional calculus functions of a type of Weierstrass function

关于一类Weierstrass函数的分数阶微积分函数

A Simple Weierstrass Function

一个简单的维尔斯特拉斯函数

The rotation error model of spindle was proposed by Weierstrass function , and the correctness and feasibility of this model was verified by comparing with actual test results .

从主轴回转误差的检测着手进行分析，提出了以维尔斯特拉斯函数建立的主轴综合回转误差模型，与实际检测结果的对比验证了此模型的正确性与可行性。

A load function in time domain based on the fractal Weierstrass function and an auto spectral model for crushing ice force similar to the gust wind speed spectrum were derived through the analysis to ice load data .

通过对压力盒冰荷载数据及冰挤压破碎过程的分析，基于连续挤压破碎冰力分形特征，利用Weierstrass函数对挤压破碎冰力时程进行了模拟，建立了冰力模型；

The fractional integral function , fractional differential function and their fundamental properties are studied in this paper . Based on the above properties , the fractional integration and fractional differentiation of a Weierstrass function are further discussed .

研究了分数阶积分函数与微分函数及其基本性质，在此基础上讨论了一类Weierstrass分形函数的分数阶积分和分数阶微分。

Combining the traditional idea and method for clutter simulation , the simulation method based on random fractal model is proposed by using X radix wavelet and random Weierstrass function respectively , which is the entia of the statistic property and the fractal property .

结合杂波仿真的传统思路和方法，提出了基于随机分形模型的λ进制小波仿真法和随机Weierstrass函数仿真法，从而完成了杂波统计特性和分形特性的融合统一。

A new method to construct Weierstrass elliptic function solutions for soliton equations

构造孤子方程的Weierstrass椭圆函数解的一个新方法

A variety of explicit exact solutions , such as solitary wave , triangular periodic , rational , Jacobi and Weierstrass elliptic function periodic solutions are obtained .

获得了其多种形式的显式精确解，包括孤波解、三角函数解、有理函数解、Jacobi椭圆函数周期解和Weierstrass椭圆函数周期解，进一步丰富了这两类方程的解。