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关于修正曲线方程的探讨
引用本文:宋盘根.关于修正曲线方程的探讨[J].河南国土资源,1995(3).
作者姓名:宋盘根
作者单位:河南省地矿厅地调二队
摘    要:该文说明“修正曲线方程”与“曲线方程”的差异及其建立的过程。曲线方程实质上是采用直线方程表达的两相关函数的关系式。但是,按直线方程发展趋势推测的范围较小,误差较大。而修正曲线方程是在曲线方程的基础上探索出的一种新的计算方法。它将曲线方程y=a+bx中的参数(a、b)由常数值导成随x变化的不定值(a_i、b_i)。因此,修正曲线方程则是拟合曲线自然发展的一种方程式。函数的变化规律基本上是沿曲线变化的。它推测的较远,结果误差较小,可广泛应用于水文地质、工程地质等不同学科的领域中。

关 键 词:修正曲线方程,斜率(b_i),截距(a_i),斜率比值(n),截距比值(m)

PROBING INTO CORRECTIVE AMELIORATIVE CURVILINEAL EQUATION
Song Pangen.PROBING INTO CORRECTIVE AMELIORATIVE CURVILINEAL EQUATION[J].Henan Land & Resources,1995(3).
Authors:Song Pangen
Abstract:The dissimilitude of ameliorative curvilineal equation with curvilineal equation and the settingprocess have been probed.In fact,curvilineal equation is the relation of the two interdependentfunction expressed in straight-line equation,But,according as the results of straight-line e-quation,the range is small and the error is large. The corrective cirvilineal equation is a new cac-ulated method probed based on curvilineal equation. The constants that the parameter(a ,b)ofcurvilneal equation(y=a+bx)have been deduced the indeterminate value varied as the x val-ue. SO the corrective curvilineal equation is exactly a equation fitting natural development of thecurve,The varying law of function varies basically along the curve,It can infer the remote valueand the error is smaller.It can be apply widespreadly to hydrogeology,engineering geology andother fields.
Keywords:corrective curvilineal equation  slope(b_i)  intercept(a_i)  ratio of slope(n)  ratioof intercept  
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