开区间

如果在开区间I（？）R上f（x）有界连续，g（x）非负可积（广义），则对（？）

If f ( x ) is a bound continuity , and g ( x ) is not a negative generalized Riemann integrable on the open interval I (?) It has generalized R.

文章在第一积分中值定理的条件下，证明了介值点ξ必可在开区间（a，b）内取得，并且给出以上结果的一些应用。

This paper proves that the point ζ must be in the open interval ( a , b ) under the conditions same as in the first mean value theorem of integrals , and gives some applications of the above results .

Interval为半开区间，这表示由Interval封装的时间跨度包括这段时间的起始时刻，但是不包含结束时刻。

The Interval is half-open , meaning that the span of time encapsulated by the Interval includes the beginning of the span but excludes the end .

leftright和topbottom是分别用于列和行的类STL（标准模板库）的半开区间（half-openrange）。

The leftright and topbottom are STL ( Standard Template Library ) - like half-open ranges for column ( s ) and row ( s ) respectably .

通过构造由多项式的Sturm序列所确定的实对称矩阵，给出了实系数多项式在给定的开区间内不同实根个数的矩阵描述。

Constructing real-symmetric matrix based on polynomial 's Sturm sequence , we give the matrix description for the real root numbers of real-coefficient polynomial on given open interval .

给出了开区间内有不可导点的微分中值定理。

Give a set of mean-value theorem in open-interval with non-differentiable points .

整数把数轴分成无穷多个半开区间。

The integers divide the number line into infinitely many half-open intervals .

σ2拓扑比开区间拓扑粗；

O_2-topology is coarser than the open interval topology .

格的序拓扑比开区间拓扑粗；

The order topology is coarser than the open interval topology in a lattice .

在此基础上给出有限开区间上的达布定理。

And based on this conclusion , Darboux theorem on open interval is also given .

本文通过对开区间内连续可导函数的详细分析讨论，给出了一种求开区间上连续可导函数最大值和最小值的普遍方法。

This paper gives a general method of how to solve the maximum and minimum of the continuous derivatived functions in open interval by a detailed analysis .

粗糙函数模型基于对应某一标度的不可分辨关系，将实数轴划分成由点及开区间构成的等价类，即将实轴离散化。

Rough function model , in which the indiscernibility relation is the starting point of our considerations , divides the axis of reals into equivalent classes composed of points and open intervals , i.e. , makes the axis of reals discrete .

在高等数学教材中，主要给出了闭区间内函数一致连续的充要条件，本文给出开区间内函数一致连续的二个充要条件以及二个性质并加以证明。

The necessary and sufficient condition of the uniform continuity function in closed interval is given in the textbook of higher mathematics . In this paper , we give two necessary and sufficient conditions of the uniform continuity function in open interval and two properties .

已知函数在开区间内一致连续，可证得在处有有限极限（指单侧极限存在）。

If f ( x ) is uniformly continuous function in the open interval ( a , b ), the existence of limit of f ( x ) on the point of a and b can be proved ( Here it refers to the existence of single-sided limit ) .

顶部开孔地铁区间隧道自然通风计算研究

Investigation of Nature Ventilation in Subway Tunnel with upper Vents