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本文首先讨论脉动流的撞击液压问题解的可微性。The differentiability of the solution of impulsive flow in a hydraulic pipe due to impact are discussed.

甚至能在进入接口上依赖这个标记以实现更高的可辨性。This mark can even be dependent on the ingress interface so that higher differentiability can be achieved.

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在固定补偿情形下，证明了目标函数的连续性和可微性。In the case of complete recourse matrix, we prove the continuity and the differentiability of the objective.

最终讲明白连续性和可微性之间的区别的例子是由他给出的。The example that ultimately drove home the distinction between continuity and differentiability was given by him.

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.

本文引进了连续可微和均匀连续可微两个新的可微性概念。Two new notions of continuous differentiability and uniformly continuous differentiability are introduced in this paper.

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.

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本文以自然学科中分形理论的一般原理作为方法论，探讨其在产品识别系统的建构与完善中的价值。The thesis mainly discusses the value of the theory of differentiability in natural science to the system of product identification.

最后指出了在一维情形下方向可微与拟可微是等价的。Finally, it is pointed out that the directional differentiability is equivalent to the quaSi-differentiability in one-dimensional space.

至于后半学期，我们则回到学生已经「知道」的函数微分与积分的观念，并且加以检视。In the second half of the semester we go back and examine the notions that you already 'know' of differentiability of functions and integration.

首先，我们对舌象进行平滑去噪，再利用小波和基于彩色信息区分度的彩色边缘检测方法提取舌象边缘，获得舌面区域。First, we smooth the tongue picture. We detect the tongue edge by wavelets and a method of which is based on color information differentiability.

作为应用，我们证明了这两个新的可微性概念分别给出了导映象的连续性和均匀连续性的特征刻划。As to their applications, the continuity and uniformly continuity of derivative mapping are characterized by the two new notions of differentiability.

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本文讨论了一类含奇异系数双曲偏微分方程柯西问题解的可微性与低阶项之间的关系。The relationship between the differentiability of solution of Cauchy problem of weak—hyperbolic differential equationand its lower term is studied in this paper.

这是比实可微强得多的条件，它表示函数无穷可微并可以用它的泰勒级数描述。This is a much stronger condition than real differentiability and implies that the function is infinitely often differentiable and can be described by its Taylor series.

从有限元数值计算的角度对岩土工程参数的可辨识性进行了分析。The differentiability of the initial stresses and elastic constants of the surrounding rocks of tunnels is discussed firstly from the point of view of finite element method.

该方法适用范围广，不受相关性、可微性的限制，通用性强，而且可以通过编程实现不确定度的合成。The presented method can be used widely, and it does not be affected by relativity and differentiability. The combined standard uncertainty can be obtained through programing.

得到了特征函数、条件特征函数的一致可微性和条件特征函数的反演公式。The uniform differentiability of characteristic function and conditional characteristic function and reversion formula of conditional eigenfunction are obtained in this paper.

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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.

与已有结果相比，文中的稳定性条件并不需要映射的可微性及映射和的对称性。Compared with the existing results for this network, the given stability conditions do not require the differentiability of the mappings, and the symmetric of the sum of the mappings.

对于拟微分为有限点集凸包的拟可微函数，给出了判别其在任一点处是否可微的一种算法。An algorithm for determining the Gteax differentiability for a class of quasidifferentiable functions whose quasidifferentials are convex hulls of finite number of points is presented.