单调区间

连续函数的非极值点和单调区间

Non-Extreme Points and Monotonic Intervals of Continuous Functions

本文给出结构最优设计问题中求解约束非线性规划问题的区间方法，在引入区间算术的基础上，构造包含单调区间扩张以及相应的函数极大值的近似上界序列。

The Interval method is given for solving the constrained nonlinear programming problem in the optimum design of structures .

阐述了利用导数知识研究函数的单调区间、最大值最小值等问题的基本方法，以及导数方法为解决某些不等式的证明、数列求和等问题提供了捷径。

It explains some basic ways of how to use derivative to study monotonous zone in function , to calculate maximum and minimum , and how to solve some problems on inequality and number sequence , etc.

非单调变化区间插值曲线的实现方法

An Interpolation Curve Method in Non - Monotone Space

我们证明了对于单调函数，区间保持的性质与连续性等价。

We prove that interval - preserving property is equivalent to continuity for a monotone function .

针对该定量评价体系数值变化非单调、数值区间非连续等缺点，本文提出了一种改进方法。

To avoid the shortcomings such as non-monotonic changes and non-consecutive numerical range , this paper presents an improved method .