A method of Gradation

[摘要] There are many methods to gradate a series of irregular values obtained by experiments or observations though most of tem are compound in process, the author's method developed here is very much simpler and more usable.Let A_??_(X_??_) be a series of observed values and be expressed as continuous broken lines in a diagram in which the ordinate is A and the abscissa X. Further, let the middle Points of _??_, _??_, _??_, _??_ etc, B_??_, _??_, C_??_ etc, and _??_, _??_ be the coordinates of n, the middle 'point thus obtained then we have_??_=xn/2_??_=1/2n{nC0y0+nC1y1+nC2y2+… +nCryr+…+nCnyn}wherenCr=_??_ r=0.1.2.…n_??_ may be considered as a weighted mean, the weights of which are given by the coefficients of binomial theorem.

[学科分类] 大气科学