Search Results: 'GVP Math System'
Nonlinearity in Life and Biomedical Sciences
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New nonlinear concepts for data analysis in life and biomedical sciences are introduced. Biological science is loaded with data with various curves: C-curves, S-curves, and symmetric and asymmetric... More > bell curves, etc,; these curves are nonlinear curves. Different types of cuves are outcome of different nonlinear physical phenomena that can have different degree of nonlinearity and different ways of meauring nonlinearity. All these nonlinear phenomena can be assembled into groups and described by simple nonlinear equations. A nonlinear phenomenon needs to be described by multiple graphs in association with nonlinear equations. The book discusses the fundamentals of nonlinearity followed by describing the methodoogy for analyzing the nonlinear data. The book is based on two mathematical axioms and two universal standards for linear and nonlinear measurements. A series of Proportionality laws along wth the GVP (graph based, true value compared, and proportionality oriented) math system are discussed.< Less
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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