查询词典 differentiable

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

First the associated Hamilton-Jacobi-Bellman equation is given, then its continuously differentiable solution is constructed.

首先给出了最优控制问题对应的Hamilton_Jacobi_Bellman方程，接着构造出了它的连续可微解。

The composite nonsmooth optimization problem is defined as follows:〓where h is a convex function defined on〓and is bounded from below,and〓〓is a mapping from〓to〓and〓are twicecontinuously differentiable function on〓.

复合NDO问题被定义如下：〓这里h是一个定义在〓上的凸函数，并且有下界，〓，〓是一个从〓到〓上的映照。

Based on Cantor series expressions of real number,we constructa wide class of nowhere differentiable continuous functions.

其次，讨论了这类函数的几何特性，给出了它们几何对称的一个判别条件。

Based on the viewpoint of set and denseness,this paper discusses some characteristics of the of continuity set and differentiable function set,and the structure of differentiable function sets,and demonstrates that there does not exist a continuous functional sequence {fn} which is convergent to Dirichlet function.

从集合观点和稠密性出发，讨论了连续函数和可导点集的一些特性及可导函数点集的构造，并证明了R上不存在收敛于Dirichlet函数的连续函数列{fn

In differentiable manifolds, one studies for instance differentiable structure, definition of differential manifolds, diffeomorphism, tangent space, Embedding theorem, partitions of unity etc.

微分流形部分主要涉及微分结构，微分流形的定义及例子，可微映射，微分同胚，切空间与余切空间，流形的嵌入，单位分解定理等。

The result indicates that the reconstruction based on differentiable basis function is better than that based on non-differentiable basis function and the reconstructions based on different differentiable basis function is approximately the same.

结果表明，对于少数投影计算机层析重建，采用连续可导的局部基函数展开比采用非连续可导的脉冲基函数展开具有更高的重建精度。

Another Two Forms of Necessary and Sufficient Condition of Differentiable Complex Function;2. The paper introduces a kind of differentiable fractal interpolation function,discusses its generating mechanismas well as the sufficient condition that generates its IFS.

文章介绍一类可微的分形插值函数，探讨了它的产生机理以及生成它的迭代函数系所满足的充要条件，在此基础上给出样条分形插值函数的定义，并讨论它所具有的部分收敛性质。

Theorem 1 Let and be differentiable at t, and let be differentiable at .

定理1 设函数和在点t可微，在点可微。

Ruck, Hirano and Reich extended Baillon抯 theorem to a uniformly convex Banach space with a Frechet differentiable norm. Hirano-Kido-Takahashi, Oka, Park and Jenong proved the ergodic theorem for commutative semigroups of nonexpansive mappings and asymptotically nonexpansive mappings in the uniformly convex I3anach space with the Frechet differentiable nonn.

aillon的定理被Bruck，Hirano及Reich推广到具Frechet可微范数的一致凸Banach空间中，而当G是一般交换拓扑半群时，Hirano-Kido-Takahashi，Oka，Park及Jeong分别给出了具Frechet可微范数的一致凸Banach空间中非扩张半群及渐近非扩张半群的遍历压缩定理和遍历收敛定理。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐