本文就积分第一中值定理给出了一个简单的证明。
This paper gives a simple proof of the first mid -value theorem of Integral.
给出了亚纯函数四值定理中一个引理的简化证明。
We will give reduce demonstration for a lemma in four values theorem of meromorphic function.
给出并证明了关于积分第二中值定理“中间点”的渐近性定理。
In this article, the author has proved the theorem of "middle point" in the second integral mean value.
结果关于这个函数的值分布性质，给出了一个有趣的均值定理。
Results the value distribution properties of this function were solved and an interesting mean value theorem was obtained.
研究积分第一中值定理，获得了其中值 渐近性的一个新结果。
Study about the first mean value theorem for integrals, which obtain a new results on the mean value asymptotic behavior.
本文首先在有限概率空间中，运用经典的最值定理得到了勒让得变换；
We first consider the classical case where the underlying probability space is finite.
讨论了二元函数中值定理中间值的渐近性质，给出了一个相关反问题的解。
The asymptotic properties of mean value in the mean value of bivariate functions are discussed, a solution is presented for related inverse problem.
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.
本文建立了两类可积函数的积分第一中值定理的推广形式，推广了已有结论。
Two kinds of generalizations of the first mean value theorem of integral for integrable functions with different properties are established in the paper, the results extend the previous conclusions.
本文把复变函数的围道积分应用于泛函分析，对一般的线性闭算子得到了算子值函数的中值定理。
In this paper, the author USES the contour integral in analytic function to functional analysis, and obtains the mean value theorem of operator-valued functions.
对积分第二中值定理作了进一步的研究，得到了积分第二中值定理的逆问题及其逆问题的渐进性。
This paper intends to discuss and prove the asymptotic behaviour of mean point in second mean value theorem for integrals in concessional terms.
对积分中值定理中间点的渐近性进行研究，给出了推广的积分第一中值定理的中间点的渐近性的一个公式。
This paper presents a generalization of mean value theorem for integrals and discusses the asymptotic properties of mean value of mean value theorem for integral.
给出了在各种情况下积分第二中值定理“中间点”的渐近性的几个结论，相信在积分学中有着很重要的作用。
In this paper, second mean value theorem for integrals is studied, and some results of the inverse problem of the theorem are obtained.
利用罗尔中值定理给出了函数与其拉格朗日插值函数间的关系，得到中值定理的另外一种形式，并给出了它的应用。
Another form about the median theory and its application is put forward according to the relation between the function and its Lagrange interpolation function in accordance with Rolls median theory.
5倍于半径的高度，机械能守恒定理，告诉我们照着书，要经过这点的最小值。
5 times the radius, conservation of mechanical energy tells you that that is the minimum it takes to just go through that point.
本文利用数学定理和新的灵敏度定义给出特征值和特征向量导数的精确解。
The exact solution of derivatives of eigenvalue and eigenvector is presented by utilizing the mathematical theorem and new definitions of sensitivities.
由凸集分离定理及终端时间阈值函数方程，我们获得了最大值原理及最优控制时间的确定方法。
Using separation theorem of convex set and the time terminal value function equation, we obtain the determining method of optimal terminal time as well as the Maximum principle.
首先，我们利用投影型插值，证明了一个强超逼近定理。
At first, we prove a theorem of finite element ultra-approximation.
本文对四元数体上矩阵奇异值摄动定理给出了推广，且这些结果对复矩阵也是新的。
The quaternion matrix singular value perturbation theorem is generalized and these results are also new one for complex matrix.
此类研究将更多的精力集中在固定理想路网条件下通过交叉口间距合理值的讨论得到路网等级配置比例。
Among these researches, more than half start from the proper road spacing interval discussion based on an given ideal square networks.
本文给出了定义在星形集上的单值(集值)非扩张映象的几个不动点定理。
In this paper we obtain some fixed point theorems of nonexpansive mappings definited on star-shape set.
讨论了一般微分单项式的导数的值分布，提出一个新的定理，并进行较为详细的证明。
The paper discusses the value distributions of the derivative of differential monomials, presents a new theorem and proves it in more details.
在可测模糊随机函数及模糊值函数积分的基础上，研究了模糊值函数的有界控制收敛定理。
This paper gives the control convergent theorem of integral for fuzzy random functions on basis fuzzy functions and fuzzy integral.
根据卡诺定理给出了热机的循环效率极大值问题。
Carnot's Theorem discusses the extreme value of the efficiency of heat engines' cycles.
将压缩算子不动点存在性研究推广到集值的情形，证明了几个满足压缩性质的集值算子不动点定理。
The study of existence of fixed point for contractive operators is extended to the set-valued case, and some fixed point theorems for set-valued contractive operators are proved.
我们证明相对论维里定理，这定理对于连续谱空间里本征值的缺乏给出了简单的标准。
We prove the relativistic virial theorem, which gives simple criteria for the absence of embedded eigenvalues in certain regions of the continuous spectrum.
本文证明了一条关于K - S函数的梯度收敛于相应的极大值由数的次微分的定理。
In this paper, we prove a theorem on the convergence of the gradient of K-S function to the subdifferential of corresponding maximum function.
第二章，利用广义r - KKM映射，在不具任何凸结构的一般拓扑空间中证明了一个新的关于容许集值映射的叠合定理。
In the second chapter, by using generalized R-KKM mappings, we obtain a new coincidence theorem for admissible set-valued mappings in topological Spaces without any convexity structure.
第二章，利用广义r - KKM映射，在不具任何凸结构的一般拓扑空间中证明了一个新的关于容许集值映射的叠合定理。
In the second chapter, by using generalized R-KKM mappings, we obtain a new coincidence theorem for admissible set-valued mappings in topological Spaces without any convexity structure.
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