有界函数

This paper gives a concept of Lebesgue-Stieltjes measure in monotone increasing left continuous bounded function and discuss some properties.

以单调递增左连续有界函数 f 给出了 Lebesgue-Stieltjes测度的概念，进一步讨论了由它产生的若干相应的性

Theorem 2 The product of a bounded function and an infinitesimal is an infinitesimal.

定理 2 有界函数与无穷小的乘积是无穷小。

In this paper,a proof is made of the equivalence in three definitions of the integral of bounded function in finite set measure.

关于Lebesgue积分，文献有不同的定义，本文给出了测度有限集上有界函数 Lebesgue积分三种不同定义的等价性的一种证明。

The main reason for using neural network in time series analysis and system identification is that a trained neural network has the capability to approximate a arbitrary bounded continuous function.

在时间序列分析和系统辨识中，利用神经网络的一个主要原因就是前向神经网络逼近任意连续有界函数的能力。

Limit the type of function is more extensive and complex, involving a bounded function, infinitely small amount, equivalent to infinitesimal, the continuity of function, and many other content.

函数极限的类型较为广泛、复杂，涉及到有界函数，无穷小量，等价无穷小，函数的连续性等多方面的内容。

On the basis of the coincident relation between a radar signal and a radar ambiguity function, an arbitrary bounded two-dimensional function of intergrable square is presented as a necessary and sufficient condition for radar ambiguity function.

本文基于雷达信号和雷达模糊度函数间的一致关系，提出了任意平方可积的二维有界函数是雷达模糊度函数的充要条件，并且指出它包括了Wilcox提出的离散的可实现条件。

Firstly, we get the necessary and sufficient conditions for Toeplitz operators that commutes with another such operator whose symbol is a monomial, meanwhile, we completely characterize when the mellin transform of the bounded function on the interval 0,1 is a rational function.

首先得到了以有界函数为符号的Toeplitz算子和以单项式函数为符号的Toeplitz算子可交换的充要条件，同时给出了0，1区间上的有界函数的Mellin变换为有理函数的充要条件。

It is proved that when all the ratios of the generic term of a subaddtive sequence to its ordinal number form a lower bounded sequence,the ratio sequence must have limitation .

从这一结果出发证明了，当定义在(0，+∞)上的次可加函数与其自变量之比为有界函数时，次可加函数必存在上下确界函数，并证明了其上下确界函数均为齐次线性函数。

Besides, through the study of essentially bounded functions on the unit circle, we get the necessary and sufficient conditions for the essential commutativity of k~-order slant Toeplitz operators with special symbols.

在此基础上，通过对单位圆周T上本性有界函数性质的研究，给出了以特殊函数为符号的两个k阶斜Toeplitz算子本性可交换的充要条件。

From this,it is proved that when all the ratios of a subaddtive function defined on the interval(0,+∞) to the value of its variable form a bounded function ,the subaddtive function must have supremum and infimum functions,which are homogeneously linear functions.

从这一结果出发证明了，当定义在(0，+∞)上的次可加函数与其自变量之比为有界函数时，次可加函数必存在上下确界函数，并证明了其上下确界函数均为齐次线性函数。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。