可微函数

词组短语

differentiable function

与可微函数相关的网络例句 [注：此内容来源于网络，仅供参考]

This paper investigates the absolute convergence of the Fourier Laplace series concerning of some smooth functions defined on the unit sphere in R n,hereinto shows that:if f is 2([n4]+1) th continuously differentiable function on H r P,then the series ∑∞k=0Y kf converges uniformly to f.

讨论了n 维球面上某些可微函数类的Fourier Laplace级数的绝对收敛性，其中指出：设f是Hrp上 2 ( [n4 ]+1)次连续可微函数，则级数∑∞k =0 Ykf一致收敛到f参

The exact form of exterior boundary value problems for plane potential problem is established with variational principle.

使用变分法确立平面 Laplace外问题的确切形式；在此基础上，为了避免使用无限区域上的 Green公式，通过构造紧支集上的无穷可微函数，获得满足非齐次控制微分方程的特解的重要结果。

Firstly, we prove that if we select nodes properly, and let the distance between these nodes sufficiently small, cubic polynomial spline can approximate a continuously differentiable function, which with continuous derivatives of second order and discontinuity of the first kind in the derivatives of fourth order, to any desirable accuracy. This result lays a theoretical foundation for representing trajectories by splines and double orthogonal basis.

一是证明了适当选取节点并使节点距充分小时，三次多项式样条可以逼近具有二次连续导数的分段四次连续可微函数到足够的精度，这一结论为用样条和双正交基表示弹道打下了理论基础。

Different from the former study,the value region of projective operator in the neural network which they study was a general closed convex subset of n demensional Euclidean space and it wasn't a compact convex set in general,that is,the value region of projective operator was probably unbounded.

与以前研究投影算子的值域一般是n维欧氏空间中的紧凸子集不同，而是n维欧氏空间中未必有界的闭凸子集，同时目标函数也是一般的连续可微函数，未必为凸函数。

Different from the former study, the value region of projective operator in the neural network which they study was a general dosed convex subset of n demensional Euclidean space and it wasn＇ t a compact convex set in general, that is, the value region of projective operator was probably unbounded.

与以前研究投影算子的值域一般是n维欧氏空间中的紧凸子集不同，而是n维欧氏空间中未必有界的闭凸子集，同时目标函数也是一般的连续可微函数，未必为凸函数。

Two mathematical derivations of them have been introduced by using the properties of differentiable function and the derivation algorithm of multiple function in present paper, and several mistakes in some derivative methods have also been pointed out.

介绍了应用可微函数的性质及多元复合函数的求导性质推导热力学中著名的麦克斯韦关系式的方法，指出了有关文献中推导过程的不

Ablish two decision theorems of relative compactness for unbounded function groups in an infinite interval.

sect；2.3我们建立了判定无穷区间上抽象无界连续函数组和抽象无界可微函数组相对紧性的充分必要条件，并对无穷区间上抽象二阶微分方程两点边值问题无界解的存在性做了研究。

In Chapter 2,we investigate the construction and dimension character-ization of fractal curves in the plane.The method proposed by Bush et al,yielding nondifferentiable continuous functions,is first extended to more gen-eral cases.

第二章研究平面分形曲线的构造及维数刻划问题，首先将Bush等人利用实数的b进制小数构造无处可微函数的方法发展到更一般的情形，借助于实数的Cantor级数表达式，构造了一类广泛的无处可微连续函数，使得Bush等人所构造的函数成为本文所构造函数类的特殊形式。

This chapter proposes three conceptions, i.e., Kernelled quasidiferential, star-kernel and star-diferential, and establishes their operational properties. A sufficient theorem and a sufficent and necessity theorem for a quasi-kernel being a kernelled quasidiferential are proven. Both the existence of star-kernel for a quasidiferentiable function and the existence of star-differential for a direnction-ally diferentiable function are established.

在这一章里，首先给出核拟微分，星核与星微分的定义及其它们的运算性质；然后证明了拟核微分的一个充分条件定理及一个充要条件定理；最后讨(来源：A27BC论文网www.abclunwen.com)论拟可微函数星核的存在性及方向可微函数星微分的存在性以及Penot-微分与上下导数之间的关系。

Thischapter proposes three concepts,i.e.,kernelled quasidifferential,star-kerneland star-differential,and establishes their operational properties.A sufficiencytheorem and a sufficiency and necessity theorem for a quasi-kernel being a ker-nelled quasidifferential are proven.Both the existence of star-kernel for a qua-sidifferentiable function and the existence of star-differential for a directionallydifferentiable function are established.The relationships between sub-and su-per derivatives and Penot differentials are discussed as well.

这一章我们引入了三个概念，即核拟微分，星核与星微分并建立了它们的运算性质；证明了拟核为核拟微分的一个充分条件定理及一个充分与必要条件定理；建立了拟可微函数星核的存在性及方向可微函数星微分的存在性并讨论了Penot微分与上、下导数的关系。

与可微函数相关的网络解释 [注：此内容来源于网络，仅供参考]

continuously differentiable function：连续可微函数

continuous variable 连续随机变量 | continuously differentiable function 连续可微函数 | continuum 连续统

infinitely continuously derivable function：无限次连续可微函数

infinite system of linear equations 无穷线性方程组 | infinitely continuously derivable function 无限次连续可微函数 | infinitely divisible distribution 无穷可分分布

differentiable function：可微函数

differentiable 可微的 | differentiable function 可微函数 | differentiable manifold of class c c类微分廖

weakly differentiable function：弱可微函数

weakly dense set 弱稠集 | weakly differentiable function 弱可微函数 | weakly distributive boolean algebra 弱分配布尔代数

piecewise differentiable function：分段可微函数

piecewise continuous function 分段连续函数 | piecewise differentiable function 分段可微函数 | piecewise linear element 分段线性元素

frechet differentiable function：弗莱谢可微函数

frechet derivative 弗雷谢导数 | frechet differentiable function 弗莱谢可微函数 | frechet differential 弗雷谢微分

differentiable：可微的

differentiability 可微性 | differentiable 可微的 | differentiable function 可微函数

left hand differentiable function：左可微函数

左一一的函子 left faithful functor | 左可微函数 left hand differentiable function | 左下狄尼导数 left hand lower dini derivative

totally differentiable function：完全可微函数

totally differentiable 完全可微分的 | totally differentiable function 完全可微函数 | totally disconnected 完全不连通的

twice differentiable function：二次可微函数

twice differentiable function 二次可微函数 | twin primes 素数对 | twisted curve 空间曲线