查询词典 improperly integrable function

The paper states the distinctions between Riemann integral and Lebesgue integral from the aspects of the definition of integral,the continuity of integrable function,the additivity of integral,integral limitation theorems and Newton-Leibnitz formula.

从积分的定义，可积函数的连续性，积分的可加性，积分极限定理，牛顿-莱布尼兹公式五个方面阐述了黎曼积分与勒贝格积分的区别。

Double pendulum ; analytic method ; Whittaker's theorem ; elliptic function ; integrable system

双摆；解析方法；惠特克定理；椭圆函数；可积系统

In the second part, we give the definition of Loeb measure space ofσ- finite measure space, discuss its properties; Then the Loeb measure space of image measure has been constructed; Finally, the definition of Loeb counting measure is given, by which, a construction of Lebesgue measure has been given, and discuss some simple properties of Lebesgue measurable and integrable function.

在第二部分里，首先给出σ-有限测度空间的Loeb测度空间的定义，讨论该空间上的一些简单性质；接着讨论了像测度的Loeb测度的构造及其性质；随后定义了L(来源：A14BC论文网www.abclunwen.com)oeb计数测度，并用Loeb计数测度给出Lebesgue测度的一种构造形式，同时讨论了Lebesgue可测和可积函数的一些简单性质。

The anti-integrable limit theory is much simpler than the KAM theory since it is just obtained as a variation of the standard implicit function theorem.

近年来提出的反可积极限理论是研究完全混沌系统的扰动。

It is proved that a function is Riemann integrable if and only if it is continuous almost everywhere.

证明了函数可积的充要条件是该函数几乎处处连续。

Any integrable function can be the in put signal for identification and convenient realization of recursive algorithm make the method especially suitable

实现方便及辨识精度高等优点；任何可积函数均可作为辨识输入信号及辨识过程可由递推算法实现这一特点使得BPF辨识法能方便有效地用于动态过程的系统实时在线辨识。

It expands Lebesgue characteristic of integrable function of Riemann through the definition of gather zero measure and builds up the theory of many integral calculus.

通过定义多维零测度集将可积函数的特征扩展到多维情形，同样统一了多维情形的充分条件，建立了多维情形的可积性理论。

It is proven that the radial wavelet family generated from a single radial wavelet can constitute a frame in L〓 and the square integrable function can be reconstructed from its dyadic radial wavelet transform.

得出这样的结论：由一个本质上为一维的径向小波的伸缩和平移可以构成n维平方可积函数空间L〓的框架。

The main tool is the notion of theLipschitz condition with positive nondecreasing integrable function L-average along thepieces one-parameter subgroup which includes the classical Lipschitz condition as well as theγ-condition as special cases.

我们在研究中引入沿着任意段单参数子群的关于取正值非减可积函数L-平均的Lipschitz条件。从而把李群上的Kantorovich定理及Smale理论放在统一的形式下进行研究。

The main tool is the notion of the Lipschitz condition with positive non-decreasing integrable function L-average along the piecewise geodesic which includes theclassical Lipschitz condition as well as theγ-condition as special cases.

同时，我们在研究中引入了沿着分段测地线的关于取正值非减可积函数L-平均的Lipschitz条件的概念，从而把流形上的Kantorovich定理及Smale理论统一起来研究。

Fostering the concept of multi-culture firmly and mastering the development of advanced culture correctly are conductive to resisting terrorism, separatism of nationalities and ultraism of religion, which is of great academic theoretical, immediate and profound historical si...

牢固树立多元文化的理念和正确把握先进文化的发展方向，有助于在世界范围内自觉地抵制恐怖主义，民族分裂主义和宗教极端主义。不仅具有重大的学术理论意义，而且也具有重大的现实意义和深远的历史意义。

But if anyone walks in the night, he stumbles, because the light is not in him.

11：10 若在黑夜行走，就必碰跌，因为那光不在他里面。