开区间

this article discusses the integral theorem of mean the promoted question, mainly has two aspects: On the one hand in analyzes in the teaching material under the first integral theorem of mean condition, had proven lies between the value spot to have to be possible to obtain in the open-interval, further discusses this knot promotes to the generalized Riemann integral, and further proved the conclusion also establishes to the promoted first integral theorem of mean; Promotes on the one hand in addition the integral theorem of mean to in the curve and the curved surface, and has proven the curvilinear integral theorem of mean and the surface integral theorem of mean.

本文讨论积分中值定理的推广问题，主要有二个方面：一方面在分析教材中第一积分中值定理的条件下，证明了介值点必可在开区间内取得，进一步将这个结论推广到广义Riemann积分，并进一步证明结论对推广的第一积分中值定理也成立；另一方面，将积分中值定理推广到曲线和曲面中，并证明了曲线积分中值定理和曲面积分中值定理。

If is continuous on the closed interval and differentiable on the open interval, then there is at least one number in where

在闭区间上连续；(2)在开区间内可导

Wto Department of Mathematics : I insertion depth and the level of satisfaction you into the square more than two, In other words you searched every 1cm I will be 4% satisfaction, I am generally in the range of the interval (10cm, 20cm), then your satisfaction will also 10*4=40 and 20*4=80 in between, It is in range (40%,80%), note that the pool is open interval, the interval is not closed, So I need to do a lot of exercises.

数学系：我的插入深度和你的满意程度成2的平方比，也就是说你每伸进1cm我都将得到4%的满意度，一般我的范围在区间（10cm，20cm）内，那你的满意度也就会在10*4=40和20*4=80之间，也就是在区间（40%，80%），注意，这个集合是开区间，不是闭区间，所以我还要再做大量的练习。

Theorem 2 Letbe a continuous function on the interval and, then there is a , such that .

定理 2 设函数在闭区间上连续，且与异号即），那么在开区间内至少有一点使。

The positive number is called the convergent radius of power series, and is said to be the convergent interval of power series.

正数通常叫做幂级数的收敛半径，开区间叫做幂级数的收敛区间。

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

在此基础上给出有限开区间上的达布定理。

Darboux theorem on open interval is also given.

在此基础上给出有限开区间上的达布定理。

Based on the integral inequality and other quality proved,the paper discusses the conclusion of the mid-value in theorem of integration mean which is got in open interval.

在证明了定积分不等式等性质的基础上，给出并证明了积分中值定理的中值在开区间内取得的结论。

Theorem 3 Let be a continuous function on the interval and let be a number between and , then there is at least one number , such that.

定理 3 设函数在闭区间上连续，且在这区间的端点取不同的函数值及，那么，对于与之间的任意一个数，在开区间内至少有一点使。

A subset D of R is called to have property L, if there is a Lebesgue number for every family of open interval covering D.

该定理的证明通常都是利用闭区间的这样一个性质：覆盖闭区间的任一开区间族具有有限子族扭盖该闭区间参见

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了