differentiable
Examples
- In this papaer , a note about the proof of the chain rule in the book 《 an introduction to differentiable manifolds and riemannian geometry 》 is offered
给出了《微分流形与黎曼几何引论》一书中关于链法则证明的一个注记 - Abstract : the conditions of differentiable could be replaced with single - dirrerentiable , then extening differential mid - value theorem to concave ( convex ) functions
文摘:用“单侧导数”代替“可导”条件,将微分中值定理推广到凹(凸)函数中 - The uniqueness theorem of generalized quasi - analyticity of the infinitely differentiable functions in some closed angular domain is extehded to the functions of several complex variables
摘要把无穷可微函数类在角形闭区域上的唯一性结果推广到了多维情形。 - Let be continuous on the interval , then there exists differentiable function on , such that for any in , . in words , the continuous functions must have antiderivatives
如果函数在区间上连续,那么在区间上存在可导函数,使对任一都有。简单的说连续函数一定有原函数。 - Chapter one : this chapter discuss mainly about the astringency of several deformed newton ' s iterative methods and their application in solution of non - differentiable problems
第一章:主要讨论了几种变形newton迭代的收敛性问题,以及它们在求解不可导方程中的应用。 - Based on this idea , in this paper , we used an infinitely differentiable wavelet with a local support . its properties are different from those of orthonormal wavelet bases
基于这一思想,本课题所使用的小波不象一般的正交小波基局部性和正则性是冲突的,相反,它既是局部支撑的,又是无限光滑的。 - Rational number can approxim ate to real number , use the notation of approximate one can prove riemann function isn ' t differentiable anywhere , that the rational points are dense in unit circle
摘要利用有理数对实数逼近的表示方式,给出黎曼函数处处不可导的一种证明,给出单位圆周上的有理点在单位圆上稠密的证明。 - The object functions for synthesis of array antennas usually have the characteristics of multi - parameters , non - differentiable even discontinuities . the optimization of pattern function is non - linear problem
阵列天线的综合问题大多呈现多参数、不可微、甚至不连续的特性,其方向图参数的最优化是一种非线性优化问题。 - As one of the technologies for global optimization problems , genetic algorithm ( ga ) is always available no matter whether the objective function is continuous , differentiable and linear or not
遗传算法作为一种全局优化技术,由于其不要求目标函数具有连续性、导数存在、线性等条件的假设,具有搜索速度快、搜索空间广的特点。 - Gradient methods of them are efficient , but have disadvantages of getting stuck in local minima , requiring gradients calculations , working only on continuous and differentiable parameters
其中,共轭梯度法收敛速度较快,但要求目标函数可微、连续,而且优化参数数目有限;随机搜索无需计算梯度,但是效率太低,而且容易陷入局部极值。
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