closed interval

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.

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。

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On Best Simultaneous Approximation to a Closed Interval by Elements of a Closed Subspace in Real Hilbert Space

实Hilbert空间之闭子空间对闭区间的最佳同时逼近

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Continuous Self-Maps of the Closed Interval Whose Periodic Points Form a Closed Set

周期点集为闭集的闭线段连续自映射

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We prove that there exists no expansive Z2 actions on graphs, but the free product Z Z can act on the closed interval expansively.

证明了图上不存在Z~2膨胀作用；闭区间上存在自由积ZZ的膨胀作用。

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The Multinomial with Rational Coefficient Approximate to the Continuous Functions in Closed Interval

有理系数多项式逼近闭区间上的连续函数一类有理幂函数不定积分的计算方法

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Four theorems about continuous function on an closed interval are proved by a interval sequence theorem in mathematical analysis.

用数学分析中的区间套定理证明了闭区间上连续函数的四个定理。

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Based on the view that the theorem of closed mested interval is an axiom, this paper deduces the essential limit of monotonic bounded sequence of number and the Dedekind theorem, and proves the general theorem of bull closed nested interval of real number.

以通常所说的闭区间套定理作为公理推出单调有界数列存在极限和Dedekind定理，并且证明了通常所说的实数满闭区间套定理。

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Proof to properties of continuous function on a closed interval with an interval sequence theorem

用区间套定理证明闭区间上连续函数的性质序列的情形作了相应的推广

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Closed Interval Valued Martingales and Fuzzy Number Valued Martingales

闭区间值鞅及模糊数值鞅

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Proving the Existence of the Important Limit with Closed Interval Theorem

利用闭区间套定理证明重要极限的存在性

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