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The main aim of this thesis is to extend some results of classical convex analysis to notions of Carnot groups, which contain the inequalities of Hadamard type, the Lipschitz continuity, the comparison principle and the second order derivatives for convex functions on Carnot groups G and regularity of quasiconvex functions on G.

本文的主要目的是推广欧氏空间凸分析中的一些结果到Carnot群上凸分析的情形,其中包括Carnot群上凸函数的Hadamard型不等式、Lipschitz连续性、比较原理、二阶可微性及拟凸函数的正则性问题。

We study the relations among MS, QMDS, RBVS, AMDS, GBVS and NBVS. Finally. we improve some classic results in Fourier analysis such as uniform convergence, L~1 convergence, L~p-integrability, strong approximation of continuous functions et al., by applying this new condition.

我们研究了MS,QMDS,RBVS,AMDS,GBVS和NBVS等不同数列之间的关系,在此基础上,我们给出了NBV条件在研究三角级数的一致收敛性、L~1收敛性、L~p可积性、连续函数的强逼近等Fourier分析经典问题上的应用,对一些经典的结论作了推广

We also develope the corresponding rational composite Bezier curve with geometric continuous design facility.

本文还将这一方法推广到有理情形,提出了有理组合Bezier曲线的几何连续设计方法。

Differing from the former studies, the growth rate is extended to be a general continuous function.

与以前的研究成果所不同的是,将出生率函数推广到了一般连续函数,通过运用一些运算技巧,得到了比文[14]更好的结果。

And then the approach is extended to continuous random variable. The optimal rule of general group decision-making is drawn by the new approach, which turns out to be a generalized weighted majority rule. The weight allocated to a decision-maker should be equal to the information quantity he provides.

鉴于Boltzmann—Shannon熵难以直接用来度量群体决策中信息的变动情况,我们提出了一种对离散随机变量的新的信息度量方法,证明了该信息函数仍然满足等状态时信息量最小这一性质;随后将其推广到了连续随机变量。

In this paper, the new bargaining set for continuous convex games is proved to be coincided with the core, thus the main results of [1] and [2] may be generalized to a great extent.

在这篇短文里,我们证明,对于连续凸对策,这种新的谈判集与核心重合。这就大大推广了文献[1]和[2]的主要结果。

The finite-element method can be regarded as an extension of the displacement method to two-and-three-dimensional continuum problem.

有限单元法可以看作是位移法对二维和三维连续体问题的推广

The theoretical analysis and experimental study on the mechanics of this new control rod driving system is important to the reactor safety and system application.

对这种新型控制棒驱动系统的机理进行详尽的理论分析和实验研究对于低温堆的安全和系统的推广应用有着重要的意义。

But it is still controvertible that whether only animal experimental study will promote development of traditional Chinese medicine TCM .

为了使导师这一理论得以系统并推广应用,本课题从理论与动物实验两个方面对其进行了探讨。

The control system can save energy remarkably and can easily realize net control, with simple and conveniency operation.

该系统节能效果明显,易于实现网络控制,操作简单方便,具有一定的推广应用价值。

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推荐网络例句

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面,更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值,分为几个相等的区间作为横轴,并将各区间内所测定值依所出现的次数累积而成的面积,用柱子排起来的图形,也叫做柱状图。

You rap, you know we are not so good at rapping, huh?

你唱吧,你也知道我们并不那么擅长说唱,对吧?