The experiment of "Newtons Cradle" is introduced and its principle is studied with the generalized theorem of dynamics.
本文介绍“牛顿碰撞球”的有关实验，并用动力学普遍定理分析它的机理。
A new and simple proving method on the famous theorem of total torsion, "the total torsion of closed spherical curve is zero", and two generalized theorems for the. theorem are presented in the paper.
本文给出了关于全挠率的一个著名定理：“球面闭曲线的全挠率为零”一个新的简单证法，并且给出了这个定理的两个推广定理。
Stability and convergence of the model are proven by means of the weak convergence theorem of generalized function and the convolved integration theory.
由广义函数弱收敛定理和卷积理论，证明所提出的非局部连续模型具备收敛性和稳定性。
In this paper, we extend the theorem on generalized quasi-analyticity of the infinitely differentiable functions in the closed angular domain to the functions of several complex variables.
摘要本文将关于角形闭区域中无穷可微函数类的广义准解析性的结果推广到了多维情形。
The method suggested is based upon a theory of adjoint fields derived from generalized energy theorem of electromagnetism.
方法是根据作者在文中导出的电磁场的广义能量定理，选择适当的伴随场可以求出扰动后场的各阶容差。
By using a universal method a new existence theorem of solution for a generalized equilibrium problem in topological vector space is obtained.
通过一种具有普遍意义的方法，在线性拓扑空间中获得一个新的广义平衡问题解的存在性定理。
A generalized KAM theorem for lower dimensional tori in Hamiltonian systems is obtained, which applies to the case where there are normal frequencies and hyperbolic normal components simultaneously.
本文给出了关于哈密顿系统低维环面的一个推广的KAM定理，它适用于同时存在法向频率和双曲法向分量的情况。
In this paper, feasibility concerning the pole placement of generalized system was discussed by a theorem and the existence of submatrix Awas solved.
本文通过一个定理，给出了广义系统极点配置的可行性，解决了分块阵的子块的存在性问题。
This paper generalized and proved a famous geometry theorem, and obtained general solution of Fermat Problem by pure geometric method thereby.
本文对一道著名几何定理进行了推广与证明，从而用纯几何方法解决了一般的费尔玛问题。
In the paper, Existence theorem for generalized variational inequalities is established in locally FC-spaces space and its applications are presented.
文章提供关于局部FC -空间上的广义变分不等式的存在性定理，并给出它的一些应用。
Weak duality theorem is established under generalized convexity conditions.
在广义凸性条件下，建立了弱对偶性定理。
In this paper the theorem in which a curve integral is independent of the integral path on a single connected region is generalized.
本文把在单连通区域上成立的曲线积分与路线无关性定理推广到复连通区域。
A theorem to determine the generalized positive definiteness of high-order matrices by low-order matrices is given.
本文给出了用低阶矩阵来判定高阶矩阵的广义对称正定的判定定理。
A new minimax theorem and some theorems for variational inequalities with generalized monotone multivalued mapping in H-spaces are obtained.
得到H -空间中的一个新的极大极小定理和几个广义单调集值映象的变分不等式定理。
In this paper, we study a generalized class of univalent functions with negative coefficients. Sharp coefficient estimates, distortion theorem and radius of convexity and starlikeness are obtained.
本文研究一类广义负系数单叶解析函数，得到了准确的系数估计，偏差定理，凸性半径和星形性半径。
Then, a theorem of the alternative for generalized subconvexlike set valued maps in real linear spaces is established.
然后，在实线性空间中建立了一个广义次似凸集值映射的择一性定理。
Using an O-KKM type theorem, some existence theorems of solutions for abstract generalized vector equilibrium problems in the framework of topological ordered spaces is proved.
在拓扑序空间的框架下，利用一个序KKM型定理证明了一些广义向量值均衡问题解的存在性定理。
In this paper, we investigate the fluctuation limit of a series of fractional Brownian motions, and prove the large number law and the central limit theorem in generalized convergence.
研究了一列分式布朗运动的起伏极限，证明了广义收敛意义下的大数定律和中心极限定理。
Used the theorem of exponential correspondence, a theorem on quotient map was generalized to the cases of coinduced topology, and some applications of it in algebraic topology were also discussed.
利用指数对应定理，将关于商映射的一个定理推广到上诱导拓扑的情形，并给出其在代数拓扑学中的若干应用。
In this thesis, first, we employ the fixed point theorem to establish the existence of solution of a class of generalized vector quasi-variational-like inequality over product sets.
本文首先研究了一类积集上的广义向量拟类变分不等式问题，使用不动点定理给出了它的解的存在性结果。
In this paper, we introduce a new concept of generalized derivative, and derive its operational rules and the mean value theorem of continuous functions.
文章提出了一种广义导数的概念，得到了广义导数的运算法则，以及连续函数的中值定理。
In this paper, We prove a fixed theorem on two metric spaces. and this fixed point theorem is generalized on two K-metric Spaces.
本文证明了一个关于两个距离空间的不动点定理，并将此结果推广到两个K -距离空间。
Then relative interior is introduced and an alternative theorem of generalized convex set-valued maps is established by using the separation theorem.
引进了相对内部，应用凸集分离定理建立了一个广义凸集值映射的择一性定理。
The traditional logarithmic residue theorem is generalized, so a general conclusion is given to solve the calculating for residue.
推广了留数理论中的对数留数定理，给出了一般性的结论，从而解决了一类函数的留数计算问题。
The method suggested is based upon a theory of adjoint fields derived from generalized energy theorem of electromagnetism. examples of calculation are also given.
方法是根据作者在文中导出的电磁场的广义能量定理，选择适当的伴随场可以求出扰动后场的各阶容差。文中给出了计算实例。
A section theorem, a minimax inequality and a generalized fixed point theorem where the underlying space is a product space of two topological vector Spaces, are given.
给出了两个拓扑向量空间的乘积空间上截口定理，极小极大不等式及一个推广的不动点定理。
In this paper, the reciprocal theorem is applied to give the generalized displacement solution and its boundary values of the bending rectangular plate.
本文应用功的互等定理，给出了弯曲矩形板的广义位移解及其边界值。
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。
As application of generalized L-KKM type theorems, a nonempty intersection theorem is proved.
作为广义l - KK M型定理应用，证明了非空交定理。
A collectively fixed point theorem for a family of set-valued mappings defined on a product space of locally generalized convex uniform Spaces is first proved.
对一族定义在局部广义凸一致空间的乘积空间上的集值映射，给出了一个集族不动点定理。
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