双自变量化学化工实验数据的新拟合方程  

NEW EQUATION FOR CORRELATING EXPERIMENTAL DATA WITH TWO VARIABLES

作　　者：盛景云[1] 方维平[1] 王跃敏[1] 

机构地区：[1]厦门大学化学系,福建厦门361005

出　　处：《化工学报》2004年第9期1515-1518,共4页CIESC Journal

摘　　要：The equation mostly used for correlating experimental data is normal polynomial:f(x,t) = c 0(t) +c 1(t)x+c 2(t)x 2+…+c n(t)x n.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.The equation mostly used for correlating experimental data is normal polynomial: f(x,t) = c0(t) + c1(t)x + 2(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 was proposed. There were no undetermined coefficients in the new equation. When this new equation was used for correlating different kinds of experimental data (curved surface), smaller errors would 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 

分 类 号：O657.31[理学—分析化学]