基本地貌形态数学定义的研究A Reseach on the Mathematical Definition of the Basic Landform Shape
钟业勋,魏文展,李占元
摘要(Abstract):
根据拓扑学中覆盖和同胚的定义 ,论证等高线图形保持着覆盖它的三维曲面的拓扑性质 ,据此我们可以在平面上定义和描述三维曲面的空间特性。继而给出了如斜坡、山、山脊、凹地、谷地、鞍部等基本地貌形态的数学定义。这些数学定义使局限于定性描述的基本地貌概念获得了精密的数学形式和定量的刻划 ,并揭示了事物从量变到质变的变化规律和内在联系
关键词(KeyWords): 基本地貌形态;同胚;斜坡;山;山脊;凹地;谷地;鞍部
基金项目(Foundation): 广西自然科学基金资助项目 (0 135 0 0 2 )
作者(Author): 钟业勋,魏文展,李占元
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