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1)  hyperbolic function series
双曲函数级数
1.
A general class of solutions to nonlinear scalar equations with static cylindrical symmetry is obtained in the form of a hyperbolic function series.
利用双曲函数级数的技术 ,研究了静态轴对称非线性标量方程的解析解 。
2)  hyperbolic function series method
双曲函数级数解法
3)  hyperbolic function
双曲函数
1.
A new hyperbolic functions method for finding exact solutions of nonlinear partial differential equations;
寻找非线性演化方程精确解的新的双曲函数法
2.
An improved algorithm based on hyperbolic function of BP neural network
一种基于双曲函数的BP网络改进算法
3.
The control strategy based on hyperbolic function is proposed and relative mathematical model is built.
为此讨论了车辆变速行为的一般规律,提出基于双曲函数的车辆变速控制策略,建立了相应的数学模型,并针对实例进行了具体分析。
4)  hyperbolic functions
双曲函数
1.
Bézier-like curves and surfaces based on hyperbolic functions;
基于双曲函数的Bézier型曲线曲面
2.
This article arranges and disseminates the hyperbolic functions and the solution of differential equation.
本文在文 [1]的基础上 ,对求解微分方程的双曲函数法进行了整理和推广 ,有一定新意 。
5)  Hyperbolic Function
双曲线函数
1.
The load-settlement relationship of skin friction q of every part of squeezed branch and corresponding settlement s of plate pile is presupposed as hyperbolic function,the necessary parameters are obtained based on the measured data,and compared with q-s relationship of measured every part.
假定支盘桩直桩段的桩侧摩阻力和含有分支或承力盘桩段的等效侧摩阻力q与相应桩土相对位移s的关系可用双曲线函数表示,根据实测数据采用最小二乘法求出所需系数,并用所得的双曲线与实测各分段的q-s关系进行对比。
2.
According to the data statistics of max transformation aside of pit to time, the paper established 3 typical hyperbolic function of displacement to time (depth).
根据实测软土基坑坑侧最大位移与时间关系资料,经统计分析建立了3种有代表性的位移与时间(挖深)的双曲线函数。
3.
According to analysis of the behavior of sand surrounding pile tips,a hyperbolic function is presented considering the compressibility of soil around pile tip which establishes certain relation between end bearing capacity and penetration at pile base.
对桩端周围土体的性状进行了分析,引入考虑桩端土体压缩特性双曲线函数,将桩端阻力的发挥同桩的刺入变形联系起来。
6)  hyperbolic function method
双曲函数法
1.
A simple transformation,hyperbolic function method and exact solution for a class of reaction diffusion equation;
一个简单的变换,双曲函数法和一类反应扩散方程的精确解
2.
A united hyperbolic function method to find the solita ry wave solutions to nonlinear evolution equations was proposed,and two kinds of solitary wave solutions to the combined KdV-mKdV equation were obtained by this method.
提出一种统一的求解非线性演化方程孤波解的双曲函数法 ,并利用这种方法求出了组合KdV mKdV方程的钟状孤波解和激波状孤波解 。
补充资料:殆周期函数的Fourier级数


殆周期函数的Fourier级数
eriodic function Fourier smes of an almost-

殆周期函数的F以的份级数tF.币er胭iesof皿自协阅d-声训让俪以如,;。抑‘ep:月。o,T“Ilep,0口料ec耐中yU叫11,] 形式为 f(x)一艺a。e!‘·‘(*)的级数,其中又,是Founer指数,a。是殆周期函数f的Founer系数(见殆周期函数的f饭耐灯指数(Fo~知dja治of ana」Inost一沐‘浏元丘m面。n);殆周期函数的f加6甘系数(Fo~“犯m6翻匕of anal-住幻st一详石司元丘川以沁n)).任意实值或复值的殆周期函数都有形式(*)的级数与之对应.Founer级数的性质本质上依赖于该函数的Founer指数集的结构,也依赖于加在这个函数的Founer系数上的限制条件. 例如,下面的定理成立.如果 艺{a,}2<二, 月=0则存在一个B洲政州奴血殆周期函数(B昭icovitCh aha眺t-详力闭元几朗tions),使得三角级数(*)是它的Fo~级数.对于一致殆周期函数,如果a。>O,则级数 艺a。 ”=0收敛.如果一致殆周期函数的Founel,指数线性无关,则该函数的Fourler级数绝对收敛.如果一个一致殆周期函数有一个缺项Founer级数,则这个级数一致收敛.【补注】一致殆周期函数也称为B曲r殆周期函数(BOhra」11〕ost一详泳对允丘mctions).关于缺项Fo一级数的概念见缺项三角级数(la~T颐即nonr州c哭n。).
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