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双自变量化学化工实验数据的新拟合方程
引用本文:盛景云,方维平,王跃敏.双自变量化学化工实验数据的新拟合方程[J].化工学报,2004,55(9):1515-1518.
作者姓名:盛景云  方维平  王跃敏
作者单位:厦门大学化学系,福建 厦门 361005
摘    要:The equation mostly used for correlating experimental data is normal polynomial: f(x, t)=co(t) c1 (t)x c2 (t)x^2 … cn(t)x^m. However correlation with this polynomial is undesirable when the curved surface formed by experimental data is not smooth or the correlating range of correlation is too large. In this paper, a new correlating equation for this purpose is proposed. There are no undetermined coefficients in the new equation. When this new equation is used for correlating different kinds of experimental data (curved surface), smaller errors will always be obtained in comparison with the normal polynomial.

关 键 词:拟合  多项式  双自变量  压缩因子  热力学数据
文章编号:0438-1157(2004)09-1515-04
收稿时间:2003-12-1
修稿时间:2004-3-22  

NEW EQUATION FOR CORRELATING EXPERIMENTAL DATA WITH TWO VARIABLES
SHENG Jingyun,FANG Weiping,WANG Yuemin.NEW EQUATION FOR CORRELATING EXPERIMENTAL DATA WITH TWO VARIABLES[J].Journal of Chemical Industry and Engineering(China),2004,55(9):1515-1518.
Authors:SHENG Jingyun  FANG Weiping  WANG Yuemin
Abstract:The equation mostly used for correlating experimental data is normal polynomial:f(x,t) =c0(t)+c1(t)x+c2(t)x2+…+cn(t)xn.However correlation with this polynomial is undesirable when the curved surface formed by experimental data is not smooth or the correlating range of correlation is too large.In this paper, a new correlating equation for this purpose is proposed.There are no undetermined coefficients in the new equation. When this new equation is used for correlating different kinds of experimental data (curved surface), smaller errors will always be obtained in comparison with the normal polynomial.
Keywords:correlation  polynomial  double independent variable  compressibility factor  thermo-dynamic data
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