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1)  mid-point theorem
中点定理
2)  centre punch mark
定中心点
3)  saddle point theorem
鞍点定理
1.
By using the least action principle and the saddle point theorem in Critical Point theory,the existence theorems for periodic solutions of a class of nonautomomous second-order systems are obtained.
分别利用极小作用原理及鞍点定理在势泛函为一次线性泛函和次二次泛函之和的条件下讨论了一类非自治二阶Hamilton系统周期解的存在性。
2.
Two saddle point theorems were proven in according to the H α conjugate map and its properties.
借助一类非闭非凸的 α-较多锥 ,对多目标规划问题引进 Hα- Lagrange映射及其鞍点的概念 ,利用 Hα-共轭映射及其性质得到了两个鞍点定理 ,并对含有不等式约束的多目标规划问题建立了鞍点定
3.
The existence of periodic solutions for second order systems (M(t)u′)′+Au+F(t, u)=h(t), u(0)-u(T)=u′(0)-u′(T)=0, is dicussed with sublinear nonlinearity, by using the saddle point theorem, the problem has at least one periodic solution.
 讨论了一类二阶系统(M(t)u′)′+Au(t)+ F(t,u(t)=h(t),u(0)-u(T)=u′(0)-u′(T)=0,在非线性项满足次线性条件下周期解的存在性,利用鞍点定理得到该问题至少存在一个周期解。
4)  Node theorem
节点定理
5)  theorem of zero point
零点定理
1.
Furthermore,it also discusses the application of theorem of zero point in our life,to achieve the goal of combining theory and practice in mathematical education.
高等数学中的零点定理是闭区间上连续函数的一个重要性质,利用它既可以证明方程根的存在性或求根的近似值,即解“等式”问题,又可以解“不等式”问题,本文从生活中谈谈零点定理的几个应用,以达到在数学教育教学中理论与实践相结合的作用。
6)  Zero-Point Theorem
零点定理
1.
Through some examples the author enumerates three kinds of problems testifying the existence of formula root and further proves it by using Zero-Point Theorem, Rolle Theorem , Lagrange Middle Theorem , reduction ad absurdum proof,etc.
通过例题列举了利用零点定理、罗尔定理、拉格朗日中值定理,反证法等证明方程根存在的三类问题。
2.
This article extends the zero-point theorem for continuous functions from a closed interval to other types of intervals,and a series of zero-point theorems for continuous functions on relevant intervals are obtained,so that the theory on the zero-point theorem can be applied in more general cases.
将闭区间上连续函数的零点定理扩展到其它区间上,得到若干个相应区间上连续函数的零点定理,从而使零点定理理论更完善、应用更广泛。
补充资料:中点
1.中午正餐前的点心。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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