介值定理

Lagrange中值定理和介值定理是微分学中的重要定理，通过一个结论与多次应用Lagrange中值定理和介值定理证明该结论的方法具有实际应用价值。

Lagrange Middle Value Theorem and Intermediate Value Theorem are important theorems in calculus . This article will give an conclusion and Lagrange Middle Value Theorem was used for times for proof .

从连续到间断&关于介值定理的推广

From Continuous to Discontinuous , a Generalization of Intermediate Value Theorem

作为微积分中连续函数介值定理在n维欧氏空间Rn中的推广，G。

As a generalization of the intermediate value theorem in Rn , G.

基于连续函数介值定理思想和模拟人类的聚焦搜索行为，利用云运算实现交叉、变异操作，提出了CEA。

Based on the intermediate value theorem of the continuous function and the simulation of human focusing search , CEA is implemented using cloud models as crossover and mutation operators .

利用推广的介值定理，得到了求一类方程绝对误差为0.1m（m∈N）的近似解的一种行之有效的方法。

By using the deducted intermediate value theorem , an effective methods of getting approximate solutions to equations of the same class , in which the absolute error is 0.1 m ( m ∈ N ), is obtained .

教材的有效性；介值定理的推广及其应用

Validity in use ; Corollary of intermediate value theorem

介值定理在中学数学中的应用

The Applying of the Interposed Values Theory

介值定理的推广

The Popularization of Medium Value Theorem

介值定理及其应用

Intermediate value theorem and applications

关于第一类不连续点函数的介值定理和积分中值定理

The Intermediate Value and Mean Value Theorem for Integral for Functions with Discontinuity Points of the First Kind

给出了导数的介值定理的内容，并用不同的方法对定理进行了严格的证明。

The content of intermediate value theorem of the derivative is given and strictly proved by using various methods .

基于框架小波神经网络理论，利用连续函数介值定理，构造出一种紧致型小波网络，并对其初始化与学习算法进行了研究。

A close-type wavelet network was constructed using the theory of frame wavelet network and the intermediate value theorem of continuous functions .

提出与粗糙连续性密切相关的连通函数的概念，以此为工具对新介值定理作出严格的证明。

Furthermore , the concept of connectivity functions closely connected with the rough continuity is introduced , by which the new intermediate value theorem is proved strictly .

第四节将闭区间上连续函数的性质加以推广，给出闭区间上离散函数的最值定理，有界性定理及新的介值定理。

In section 5.4 , generalizing the properties of continuous functions on closed intervals , the maximin theorem , boundedness theorem and a new intermediate value theorem of discrete functions on closed intervals are proposed .

巧构辅助数列证明介值性定理

Intermediate Value Theorem Proved by Auxiliary Sequence

最后，考察并获得其介值性定理，从而得出其图形是一个分形。

At last , we investigate and obtain the intermediate value theorem on the error-sum function , as a consequence , we know its graph is a fractal .

在介值性定理与零点定理的基础上，对区间上的连续函数证明了平行弦定理，推广了介值性定理和零点定理，建立了几个不动点定理。

On the basis of the medium theorem and the zero-point theorem and according to the premise of the continuous function in the interval , this article proves the parallel chord theorem , popularizes the medium theorem and the zero point theorem , and establishes a few fixed point theorems .

介值在中值定理中的作用和应用

On the Functions and Application of the Intermediate Value in the Theorem of Midpoint

给出函数的介值性的定义，并由此推出了介值定理的一个逆定理。

In this paper , the intermediate-value property of function has been defined , and a converse theorem of intermediate-value theorem is given accordingly .