多元函数的连续性，偏导数，方向导数及可微性之间的关系。
The Relation between the Continuity, the Partial Derivatives, the Directional Derivatives and the Differentiability of a Function.
探讨二元函数的连续性、偏导数、方向导数以及可微性之间的关系，有助于我们对二元函数的学习。
A discussion of the relations between continuity, partial derivative, directional derivative and differentiability of binary function is helpful for us to study binary function.
本文首次引入了模糊样本函数的连续性的基本概念，并且成功地解决了模糊随机过程的连续性这一最基本的理论问题。
In this paper we introduce the concept of continuity of a fuzzy sample function, and solve the basic theoretical problem of continuity of fuzzy stochastic processes successfully.
把四次有理插值样条函数的连续性降为C2连续就可以提供额外的自由度，这对于控制曲线的形状具有较大的灵活性。
If we decrease the splines continuity to C2 continuous, it can provide additional freedom degree, and this is very useful for shape constraint in curve design.
介绍了函数的连续性的三种等价定义，并对它们之间的的等价关系进行了互相证明，使人们更加深入地了解函数的连续性。
This article introduces three kinds of equal value definitions of function continuity, proves the equal value relation among them, and makes people understand further the continuity of function.
本文在泛灰函数的极限概念基础上，进一步讨论了泛灰函数极限的运算及运算性质，为讨论泛灰函数的连续性以及泛灰函数的导数奠定了基础。
Some definitions of four fundamental operations of grey number and grey function are given in this paper, also we have given the whiting method of grey function.
函数的容许性由连续性要求和边界条件来约束。
The admissibility of functions is regulated by continuity requirements and boundary conditions.
研究了这个函数在某一边界条件下的连续性。
The function continuity under a certain boundary is studied.
分析该复合函数的不同线段之间的连续性。
The continuity between different line segments of the compound function is also analysed.
连续开拓是函数连续性中的重要概念，对函数在某点做的连续开拓所得到的函数称为连续开拓函数，连续开拓函数在函数的有关问题证明中起重要作用。
It is called the continuous extension function which in some spot makes the continuously extension, the continuous extension function plays important affects in the relevant questions of function.
应用闭区间连续函数性质和实数连续性定理，给出证明广义中值定理的一个新思路。
Closed interval continuous function and continuity theorem of real number apply to a novel demonstration of general theorem of the mean.
用三次多项式在硬阈值的基础上插值，使新的阈值函数保持了连续性和可导性。
The continuity and differentiability are achieved by using cubic polynomial interpolation based on hard thresholding.
结合势函数有限跃变和无限跃变的几种实例，讨论波函数一阶导数在势函数跃变处的连续性问题，从而进一步明确连续性条件。
Continuity on first derivative of wave function is discussed by means of several instances of finite and infinite transitions of potential function and hereby continuity conditions is pinpointed.
本文指出前苏联学者布洛欣采夫由几率流密度的连续性论证波函数及其一阶导数的连续性中有不妥之处。
The paper will point out that there was a fault in deducing the continuity of probability current density through the continuity of wave function and first order devirative by a scholar of Soviet.
给出了一元函数在区间上一致连续的一个等价条件，并运用它证明了一些函数的一致连续性。
AN equivalent condition of function's consistent continuity is proved. Application of it in several examples is showed.
给出了半连续函数的定义，研究了函数具有半连续性的条件，推出了半连续函数的一些性质。
In this paper, we study the definition of semi continuous function and the sufficient conditions of semi continuity, obtain some properties of semi continuous function.
本文采用非标准分析方法，首先对广义函数的赋值问题进行了完善；接着界定了广义函数的积分；最后讨论了广义函数的广义连续性．。
We discuss the problem of valuation assignment and integration of generalized functions by nonstandard analysis method. The generalized continuity of generalized functions is also discussed.
本文讨论了无最小周期的周期函数性质，论证了无最小周期的周期函数的处处不连续性以及这种周期函数的周期构成的集合的稠密性。
In this paper, some properties of the periodic functions without minimum period are shown, the main results are: the functions are discontinuous everywhere and the set of periods is dense.
由流动的连续性引进了流函数，使流体动力学基本方程的未知量的个数减少一个；
Because of the continuity of the flow, the stream function is introduced and it makes that the numbers of the fluid dynamical basic equation is cut off one.
讨论了函数的介值性与连续性之间的相互关系以及导函数的介值性。
This paper intends to discuss the relation of the intermediate-value property and continuity of a function and point out the intermediate-value property of derivatives.
提出了运动优化的方法，通过预设传动误差抛物线函数，使齿面啮合时运动误差和不连续性减至最小。
The motion optimization method is proposed, by which transmission errors anddiscontinuousness of tooth surface meshing is decreased to minimum.
研究了函数和集在某点的邻近正则性与次微分连续性，给出邻近正则函数的次微分在某种意义下的单调性及函数的邻近正则性与其上图的邻近正则性的关系。
The monotonicity, in some meaning, of subdifferential of prox regular functions and the relationships between prox regular of function and its epigraph are studied in this paper.
遗传算法直接对结构对象进行操作，不存在函数可微性和连续性的限定，具有全局性，鲁棒性和隐并行性等优越性。
To solve problem, GA deals with structural object directly without any requirements of differentiability and continuation of function; it's global, robust and parallel in working mode.
本文在严格单调的前提下 ，讨论了积分中值函数的严格单调性、连续性和可微性 ，得到了具有一般性的结论。
In this paper, under the condition of strictly monotone, discusses strictly monotone , continuity and derivatiability of integral mean value function, and the general results are obtained.
并针对图像的深度连续性约束，定义了一个反映图像自身特征的新能量函数，应用于图割算法，提高了视差计算精度。
Moreover, to improve the disparity accuracy, a novel energy function is well designed to restrict the depth-continuity of an image and applied to the Graph Cut algorithm to describe the image feature.
利用加减速位移曲线函数的表达式保证位移、速度、加速度、加加速度曲线的连续性。
The continuity of acceleration deceleration displacement, speed, acceleration and jerk function is satisfied by the form of the acceleration deceleration displacement function.
从一致连续性的定义出发，给出了无穷区间上一致连续函数的几种类型。
The extension and the conjunction of continuous mapping and its propertiesz on a sequential compact set;
从一致连续性的定义出发，给出了无穷区间上一致连续函数的几种类型。
The extension and the conjunction of continuous mapping and its propertiesz on a sequential compact set;
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