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Nonlinearity and Proportionality in Science, Medicine, and Engineering
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This book introduces a new αβ math for describing physical laws in science, medicine, and engineering. The αβ math is an extension to the traditional XY math to address the... More > nonlinearity of the continuous numbers. The book starts with introducing the fundamentals of nonlinearity followed by describing the methodology for analyzing the nonlinear phenomena.In the αβ math, the fundamentals of nonlinearity are based on two mathematical axioms and two universal standards for linear and nonlinear measurements. A series of proportionality laws, in conjunction with a Graph-based, true-Value compared, and Proportionality-oriented (GVP) math system, are introduced for assisting in data analyses. The new αβ math is built on the classification of continuous numbers into linear and nonlinear numbers. The linear numbers are defined as the continuous numbers that have no association with any asymptotes; and the nonlinear numbers are the continuous numbers that have association with one or two asymptotes.< Less
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