English translation for "单函数"

single function

Example Sentences:

	1.	Because in minimax theorems for two functions let g = f , we can receive the corresponding minimax theorems for a function , so , minimax theorems for two functions becomes the focal point studied at present 由于两个函数的极大极小定理中令函数g = f ，即可得到相应的单函数的极大极小定理，所以，两个函数的极大极小定理成为目前研究的重点。
	2.	According to the forms of minimax theorems , minimax theorems may be devided into minimax theorems for a function , minimax theorems for two or more functions , minimax theorems endowed with differential structure , etc . 根据极大极小定理的形式，极大极小定理可以分为单函数极大极小定理，双函数或多函数极大极小定理，赋予微分结构的极大极小定理等等。
	3.	We modified this method : ( 1 ) obtain an identity transformation , ( 2 ) extend the solutions from sole - function to double - function form , ( 3 ) point out some anatzs are redundant . kdv equation and ito 5 - order mkdv equation are illustrated by our method 我们对此方法做了三项改进：作了一个恒等变换，从而得到方程新的解；把解从单函数形式扩展到双函数形式，从而能得到新的解或结合第一项又能得到新的解；指出了一些式子是多余的，即可以避免重复计算。
	4.	Chapter one has introduced the background and classification of minimax theorems ; chapter two summarizes several proof method of minimax theorems , which are illustrated with examples ; chapter three has explained the development general situation of minimax theorems for a function and for two functions with chapter four respectively , and according to the classification of the theorem , has illustrated some important conclusionses in quantitative minimax theorems , topological minimax theorems and quantitative - topological minimax theorems separately 第一章介绍了极大极小定理的背景及其分类；第二章总结了极大极小定理的几种证明方法，并举出例子进行说明；第三章和第四章分别阐述了单函数的极大极小定理和两个函数的极大极小定理的发展概况，在第三章中，按照极大极小定理的分类，分别对数量极大极小定理，拓扑极大极小定理和数量拓扑极大极小定理的一些重要结论作了介绍。
	5.	We improve this method as follows : ( 1 ) single jacobi elliptic function is replaced with an unified jacobi elliptic equation , thus repeated calculation is avoided ; ( 2 ) extending the expansion method from sole - function to double - function form , the more solutions for npde are obtainted ; ( 3 ) using many of jacobi elliptic functions besides ordinary three kinds , the content of solutions represented by jacobi elliptic by the jacobi elliptic function expansion method and computer functions is very abundant 我们对此方法做了如下几点改进：用统一的jacobi椭圆方程组代替单个的jacobi椭圆函数，避免重复计算；将jacobi椭圆单函数展开方法推广到jacobi椭圆双函数展开，这样可以得到更多的解；将通常使用的三个jacobi椭圆函数推广到多个jacobi椭圆函数，丰富了用jacobi椭圆函数表示的解的内容。利用改进的jacobi椭圆函数展开法，求解了bbm方程和boussinesq方程组。

Similar Words：

"单过硫酸氢钾" English translation, "单过滤器" English translation, "单过氧邻苯二甲酸镁盐" English translation, "单涵道涡轮喷气发动机" English translation, "单寒" English translation, "单焊缝连接" English translation, "单焊工焊机" English translation, "单焊机" English translation, "单航程" English translation, "单航次租船" English translation