closed interval

1. Corollary Let be a continuous function on a closed interval, then can obtain any number between its absolute maximum and its absolute minimum.
   推论在闭区间上连续的函数必取得介于最大值与最小值之间的任何值。
2. Closed interval continuous function and continuity theorem of real number apply to a novel demonstration of general theorem of the mean.
   应用闭区间连续函数性质和实数连续性定理，给出证明广义中值定理的一个新思路。
3. 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。
4. Closed Interval Valued Martingales and Fuzzy Number Valued Martingales
   闭区间值鞅及模糊数值鞅
5. Closed interval continuity and principal ideal continuity on posets
   偏序集的主理想连续性和闭区间连续性
6. Monotonicity and Superadditive of Convex Function on Closed Interval
   闭区间上凸函数的单调性与超加性
7. Differs from classic set theory, fuzzy set theory uses a value in the closed interval [ 0,1] to denote the extent that an element belongs to the fuzzy set.
   和经典集合论不同的是，模糊集合论用单位闭区间[0，1]中的某个数值来表示元素隶属某个集合的程度。
8. 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
9. Let I be closed interval and let f: I → I be continuous. We use f n to denote the nth iterate of f.
   设I为闭区间，f：I→I连续，fn表示f的n次迭代。
10. This peper points out that usual identification flame has three types: symbol set, ordered statement set and closed interval of real number.
    本文指出常用辨识框可分为符号集合型、有序命题集合型和实数闭区间型。
11. This paper provides a practical calculating formula for the area of lateral surface of a body of rotation obtained by the rotation of a smooth curve around an arbitrary line at a closed interval.
    本文给出闭区间上光滑曲线绕任一直线旋转所产生的旋转体的侧面积的一个方便实用的计算公式。
12. The actual life together with various fields, often involves close-range continuous function on the most limited value, it is necessary to discuss the existence of continuous function maximum and minimum on a closed interval value.
    在现实生活及各个领域中经常涉及到非有限闭区间上连续函数的最值问题，因此有必要讨论非有限闭区间上连续函数最值的存在性。
13. There are maximum and minimum surely in a closed interval for the quadratic function with an argument. Depend on the relative position apex of its picture with the closes interval, the solutions of the maximum and minimum is also slightly different.
    一元二次函数在闭区间上一定有最大值与最小值，依其图像顶点横坐标与这一闭区间的相对位置的不同，求最大值与最小值的解法亦略有不同。
14. 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
15. The concept of ordered closed interval sheaths is introduced in ordered Banach spaces, and two sufficient and necessary conditions for closed convex cones being regular are obtained.
    本文在序Banach空间中引入了序闭区间套的概念，获得了闭凸锥正则的两个充要条件。
16. 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。
17. 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
18. It is important to fracturing result to know the variation of the pressure, temperature and density of the gas within downhole closed interval during HEGF.
    为了从理论上探讨在高能气体压裂过程中，井下施工层段的燃烧压力、燃烧温度及燃气密度的变化。
19. 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。
20. And finally we prove that let A be a subset of real numbers, if every continuous function which is defined on A and taken value in A has fixed point, then A is a finite closed interval.
    最后还证明了对于实数的子集A，如果定义在A上取值于A内的任一连续函数都有不动点，则A为实数的有限闭区间。
21. The author generalizes the theorem of Rolle in the calculus from closed interval to semi-infinite interval and infinite interval, which is useful for students to understand theorem of Rolle better.
    本文将微积分中的罗尔定理从有限闭区间推广到了半无限区间和无限区间，有助于对罗尔中值定理的理解。
22. The Closed Interval of the Vector of the process of the Limited Movement of Music Within the System of the Infinite Collection of Number Series
    音乐有限运动过程矢量在无限数集系统中的闭合区间&《音乐数控理论》导言
23. 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
24. 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
25. Theorem of Interlink of Closed Interval
    关于闭区间套定理
26. The former is a relatively simple to calculated, while the latter gives an assessment in the unit closed interval.
    前者计算相对简单，后者能在单位闭区间上给出定量评价。
27. From the analysis of the stability and numerical solution of a closed interval, the author comprehensively analyzes related properties of the model.
    本文从稳定性判断和求某一闭区间的数值解两方面来对模型的相关性质进行综合分析。
28. First, in 1988, Xiong Jincheng determined point sets of continuous self-mapping f on a closed interval I in Dynamical Systems of Interval Maps: Nonwandering Set, Topological Entropy and Chaos.
    一方面，1988年，熊金城在《线段映射的动力体系：非游荡集，拓扑熵以及混乱》一文中对线段连续自映射f：I→I上的一些重要点集进行了刻划。
29. Thirdly, under the situation that analytical solution of the equation cannot be obtained, S product theory of Laplace transform is applied to greatly simplify the process of solving the numerical solution in any finite closed interval with high precious.
    三，在无法求得方程解析解的情况下，利用拉普拉斯变化S积理论，在任意有限闭区间内大大化简数值解的求解过程，并且具有良好的精度。

noun

1. an interval that includes its endpoints

   Synonym:    bounded interval