Author(s)

Ralph W. Lai¹, Melisa W. Lai-Becker², Grace Cheng-Dodge³

¹28 Cornerstone Ct., Doylestown, PA, USA.
²Harvard Medical School, Cambridge, MA, USA.
³Independent Education Consultants, West Hartford, CT, USA.

In this study, we explore the application of ACP (asymptotic curve based and proportionality oriented) Alpha Beta (αβ) Nonlinear Math to analyze arithmetic and radiation transmission data. Specifically, we investigate the relationship between two variables. The novel approach involves collecting elementary “y” data and subsequently analyzing the asymptotic cumulative or demulative (opposite of cumulative) Y data. In part I, we examine the connection between the common linear numbers and ideal nonlinear numbers. In part II, we delve into the relationship between X-ray energy and the radiation transmission for various thin film materials. The fundamental physical law asserts that the nonlinear change in continuous variable Y is negatively proportional to the nonlinear change in continuous variable X, expressed mathematically as dα = −Kdβ. Here: dα {Y, Yu, Yb} represents the change in Y, with Yu and Yb denoting the upper and baseline asymptote of Y. dβ {X, Xu, Xb} represents the change in X, with Xu and Xb denoting the upper and baseline asymptote of X. K represents the proportionality constant or rate constant, which varies based on equation arrangement. K is the key inferential factor for describing physical phenomena.

Asymptotic Concave and Convex Curve, Upper and Baseline Asymptote, Demulative vs. Cumulative, Coefficient of Determination, Proportionalityand Position Constant, Skewed Bell and Sigmoid Curve

Lai, R. , Lai-Becker, M. and Cheng-Dodge, G. (2024) Application of ACP Nonlinear Math in Analyzing Arithmetic and Radiation Transmission Data (Application 1 & 2) [4-21-2024, 820P] (V). Journal of Applied Mathematics and Physics, 12, 2302-2319. doi: 10.4236/jamp.2024.126137.