hyperbolic functions meaning in English
双曲函数
Examples
- Firstly we deduce hyperbolic function transformation and then apply to a class of reaction diffusion equation and brusselator reaction diffusion model which has physics , chemistry and biology significance . thus we obtain many new exact and explicit solutions ( including solitary wave soluiton , peoiodic wave solution and rational functions solutions ) to above equations
推导出了双曲函数变换,利用此方法探讨了一类反应扩散方程, brusselator反应扩散方程这些具有物理、化学、生物意义的方程的精确解(包括奇性孤波解,周期解和有理函数解) 。 - Therefore , it can be used as an efficient new model for geometric design in the fields of cad / cam . at last , the spatial definition of periodic spline and natural spline constructed by polynomial and hyperbolic functions is given ; the dimension law and zero properties are demonstrated ; and therefore the non - uniform algebraic - hyperbolic period and natural spline curves are obtained . the applications of the low order are given in details
三、给出代数双曲周期样条及自然样条空间定义,证明其维数定理和零点定理,构造具有最小紧支撑的非均匀代数双曲周期及自然样条函数,进而定义非均匀代数双曲周期及自然样条曲线,最后具体给出低阶的表示和应用 - This paper summaries the researches on the new schemes of parameter curves and surfaces modeling - curves and surfaces modeling of trigonometric polynomial , which includes curves and surfaces of t - bezier , t - b - spline , tc - bezier and tc - b - spline . hc - b zier curves and surfaces are also discussed in the space of hyperbolic functions in the end
本文主要对参数曲线曲面造型的一种新方法? ?三角多项式曲线曲面进行了深入研究,其内容主要包括t - b zier曲线曲面、 t - b样条曲线曲面、 tc - b zier曲线曲面和tc - b样条曲线曲面。