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散点、域面MNO分析与半高法

李瓒 王民浩

西北水电Issue(1):1-13,13.
西北水电Issue(1):1-13,13.DOI:10.3969/j.issn.1006-2610.2025.01.001

散点、域面MNO分析与半高法

Analysis of Scattered Points and Domain Surface Based on MNO Principle and the Semi-height Method

李瓒 1王民浩2

作者信息

  • 1. 中国电建集团西北勘测设计研究院有限公司,西安 710065
  • 2. 中国电力建设集团有限公司,北京 100048
  • 折叠

摘要

Abstract

In the study of scattered points,the mathematical regression method is usually used to obtain an equation with a relatively high degree of fitting,and the closer the value is to 1,the better the equation is regarded as the final equation.Through the analysis of scat-tered points,the relationships among points,surfaces and lines are established.Under the control of the MNO principle,the linear do-main M and the non-linear domain N(the sum of the two is the real domain)and the regulation domain O(the empty domain)are ana-lyzed by using the factor area method,and the basic standard function(R2=1)is obtained.Specifically,the semi-height analysis is used to obtain the final standard function,and the standard function for the deformation of the Xiaowan Super-high Arch Dam is solved,and the first deformation curve of a super-high arch dam in China is drawn.

关键词

MNO原则/点面问题/半高法/标准曲线/小湾特高拱坝变形

Key words

MNO principle/point-surface problem/semi-height method/standard curve/deformation of the Xiaowan Super-high Arch Dam

分类

水利科学

引用本文复制引用

李瓒,王民浩..散点、域面MNO分析与半高法[J].西北水电,2025,(1):1-13,13.

西北水电

1006-2610

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