hyperbolic tangent function meaning in English
函
双曲正切
Examples
- A theoretical model for predicting ground displacement and deformation due to mining of phosphate body in wenjiaping by using hyperbolic tangent function was given in this paper
摘要针对文家坪磷矿地下开采岩体移动变形问题,给出了用于预测分析地下开采引起地表移动变形的双曲正切函数模型。 - One of most effectively straightforward methods to construct travelling solitary wave solutions is tanh - function method . the algorithm is based on the fact that the solitary wave solutions are essentially of a localized nature . seeking solitary wave solutions which are in terms of hyperbolic tangent function gives a nonlinear system of algebraic equation
寻求非线性演化方程孤波解的双曲正切方法是直接代数方法中最为有效的方法之一,其基本原理是利用非线性演化方程孤波解的局部性特点,将孤波解表示为双曲正切函数的多项式,从而将非线性演化方程的求解问题转化为非线性代数方程组的求解问题。 - Chapter5 : the recently developed method of hyperbolic tangent function expansion is extended and new function transformation is applied to construct some new solitary solutions of kdv equation and klein - gordon equation and the jacobi elliptic function expansion method , which is advanced in 2001 , and the extended method of doubly jacobi function expansion are used to construct the exact solutions of a kind of nonlinear evolution equations
第五章对近年来发展起来的双曲正切函数展开法加以改进,采用新的变换函数,得到了kdv方程和非线性klein - gordon方程的一些新的孤立波解。其次,分别采用2001年提出的jacobi椭圆函数展开法和本文由此扩展而来的双椭圆函数展开法,求解了一大类非线性发展方程,得到了一系列新的周期解。 - The mathematics - mechanization method is applied the field of differential equations . many algorithm for constructing solitary wave solutions for a class of nonlinear wave equations are given , and implemented in a computer algebraic system , such as the hyperbolic tangent function method and the hyperbolic function method etc . exact solitary wave solutions of a great deal of nonlinear equations are gained
将机械化数学方法应用于偏微分方程领域,建立了构造一类非线性波方程的精确孤立波解的许多算法,如,双曲正切函数展开法,双曲函数方法等,并在计算机数学系统上加以实现,因而推导出了一批非线性波方程的精确孤立波解。 - To deblur edge after image magnifying , an adaptie edge sharpness presering image magnification is put forword , which can fit edges of any direction , gradient and amplitude , utilizing the gradient imgormation of the image and the properties of the hyperbolic tangent function haing reiewing the character of a typical edge
针对图像放大后出现边缘模糊的现象,论文考察了典型边缘的特征,利用图像的梯度信息和双曲正切函数的性质,提出了一种较好地拟合任意方向、陡度和幅度的边缘,因此能够保持边缘锐度的自适应图像放大算法。