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分段连续性

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This paper discusses the continuity of elementary function and some special non-elementary function and how to decide the interval point by the conception of function' continuity.

本文利用函数的连续性定义,详细讨论了初等函数的连续性,以及几个特殊非初等函数的连续性和间断点的类型判断,展示了一些复杂的非初等函数连续性的讨论方法,这不仅说明了分段函数的多样性,而且对于研究函数的丰富性具有重要的指导意义。

If we can use suitable method to calculate the derivative at nodes, a new piecewise cubic hermit interpolation function can be proposed, which has C^1 continuity and monotonicity preserving in the subinterval.

如果能够用适当的方法来计算出节点处的导数,则可以构造一种新的分段三次Hermit插值函数,它具有C^1连续性并在子区间保持单调。

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