TITLE:
Utilizing ACP Alpha Beta (αβ) Nonlinear Mathematics for Analyzing Astrophysics and Electrostatic Separation Data (Applications 3 and 4)
AUTHORS:
Ralph W. Lai, Melisa W. Lai-Becker, Grace Cheng-Dodge, Michael L. Rehmet
KEYWORDS:
Alpha Beta (αβ) Nonlinear Math, Asymptotic Concave and Convex Curve, Upper and Baseline Asymptote, Demulative Numbers (Opposite to Cumulative Numbers), Coefficient of Determination (COD), Proportionality and Position Constant, Skewed Bell and Sigmoid Curve
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.11,
November
12,
2024
ABSTRACT: Analyses of astrophysics and electrostatic separation data were illustrated with the Asymptotic Curve Based and Proportionality Oriented (ACP) nonlinear math for relating two physical variables. The fundamental physical law asserts that the nonlinear change of continuous variable Y is proportional to the nonlinear change in continuous variable X. Mathematically, this is expressed as dα{Y, Yu, Yb} = −Kdβ{X, Xu, Xb}, with Yu, Yb, Xu, and Xb representing the upper and baseline asymptotes of Y and X. Y is the continuous cumulative numbers of the elementary y and X is the continuous cumulative numbers of elementary x. K is the proportionality constant or equally is the rate constant.