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 未完全匹配句对 Relations among Almost Continuous, Almost everywhere Continuous and Fundamental Continuous 几乎连续几乎处处连续基本上连续的关系 Because this method makes the lateral displacement function continuous in deformed zone, the coordination of lateral displacements between strips is ensured and the theory of strip element method is further developed. 由于本方法使横向位移在整个变形区处处连续,保证了条元间的横向位移协调,进一步发展了条元法的理论。 The theory of Riemann type integrals is established on compact Hausdorff measure spaces. It is proved that a function is Riemann integrable if and only if it is continuous almost everywhere. 在紧Hausdorff测度空间上建立了Riemann型的积分理论,证明了函数可积的充要条件是该函数几乎处处连续. On a Function Continuous and Non-differentiable Everywhere 一个处处连续处处不可导的函数 A Continuous Function Without Derivatave at Anywhere 一个处处连续无处可微的函数 An Elementary proof to Riemannian Integrability Theorem on Bounded, Almust Everywhese continuous Functions 有界几乎处处连续函数Riemann可积定理的一个初等证明 On a Class of Function and Non Differen table Everywhere 一类处处连续处处不可导函数 The Discussion of The Integrability Problems on the Almost Everywhere Continuous Essential Functions 关于几乎处处连续的本性函数的可积性问题 At the meantime, the shape of side drum is available. The parabolic curve is used to fit side drum and the third power spline function is used to fit the exit lateral displacement, which makes the lateral displacement continuous in all deformation zones, and is satisfied with the compatibility conditions of the first-order and second-order partial derivative of exit lateral displacement on element nodes. 采用抛物线拟合侧边鼓形，采用三次样条函数拟合出口横向位移，不仅使横向位移函数在整个变形区处处连续，满足条元节线上出口横向位移协调条件，而且还满足节线上出口横向位移的一阶及二阶偏导数均连续的条件。 In the finishing, The movement of the grinder is irregular and uninterrupted but non-differential, it has fine structure and the statistical self-comparability. 加工中，磨块的运动轨迹是不规则的，是处处连续但处处不可微的，具有精细结构以及统计的自相似性。 The transformation of virtual displacement principle into the varia-tional energy form is performed on the bases of continuity conditions of stress and displacement throughout the integrated space. 但是从虚位移原理化为能量关系的变分形式时,要求位移和应力在积分域内处处连续. In fact, it propagates with a speed equal to (1+ a/h) where a is the negative wave height. The lowest point of the water surface is a singular point where the first order derivative has a, discontinuity of the first kind. The horizontal scale of the wave has actually no connection with the water depth. 这是一个处处连续、分片光滑的凹形孤立波,在波谷处为一尖点(奇异点),其移速比长波速度gh~(1/2)略小,为(1+a/h)(gh(1+a/h))~(1/2),其中a<0.其水平尺度与水深几乎无关. In this paper,almost continuous concepts are given,and we have proved that {almost everywhere continuous functions } { almost continuous functions} {fundamental conti nuous functions } are proper inclusions. 给出了几乎连续概念，并证明了几乎处处连续函数集合包含于几乎连续函数集合包含于基本上连续函数集合是真包含关系． In this paper an uniformly convergent continuous function sequence has been constructed, and it has been proven that its limit function is continuous and non - differentiable at anywhere in the interval [0, 1], Two problems of the relative topies. 构造了一个一致收敛的连续函数列,证明其极限函数在区间[0,1]处处连续无处可微,最后指出与此有关的两个问题. In this paper the notions of fine complex weights and the Choquet type for complex weights are introduced. And we discuss the relations between quasi continuity and fine continuity quasi everywhere. 本文引入细复广义权和Choquet型复广义权的概念．讨论了某些与复广义权相关的函数的拟连续性与细拟处处连续的关系． Harvey and J. Porking′s methods and traditional methods, we define the current Cauchy principal values in this paper by using homotopy formula and integral transformations. We study the boundary value of Weil type polyhedron integrals and obtain Plemelj formulas, which are different from the methods usually in the studies of boundary value problems. 本文利用R．Harvey和J．Porking的方法首先定义广义式的Cauchy主值，利用同伦公式，借助积分变换技巧研究Weil型积分的边界性质，得到Plemelj公式．它有别于通常研究边界性质的方法．本文引入细复广义权和Choquet型复广义权的概念，讨论了某些与复广义权相关的函数的拟连续性与细拟处处连续的关系． The intrinsic difference in fractal charateristics between the sea clutter and the echoes from a target is used to identify ship targets. 该方法以处处连续而不可导的非平稳不规则信号模型─-分数布朗运动作为数学模型，提取出海杂波与目标回波的多种分维参数，并利用其固有的差异进行了检测。 With elementary methods we hove prove foemannian integrability theorem on bounded, almost everywhese continuous functions in the present paper. 用初等方法证明了有界几乎处处连续函数Riemann可积定理。 An example of a function,Continuous and non-differentiable,is exhibited,using the method of one by one point definition The form of the function is different from Weierstrass functions. 本文应用分形的思想 ,采用逐点定义法 ,给出了一类形式不同于Weierstrass函数 ,但又处处连续处处不可导的函数 In this paper, a class of nowhere differentiable continuous functions on the unit interval are constructed by means of the Cantor series expressions of real numbers. Moreover, under a certain condition, the geometrical properties of these functions are also discussed. 借助于实数的Cantor级数表达式．在单位区间上构造了一类用二进小数表示的函数．证明了这类函数是处处连续但处处不可微的．并且在一定的条件下．讨论了这类函数的几何对称性．

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