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Family of curves

Explanation

Family of curves: A family of curves is a set of curves, each of which is given by a function or parametrization in which one or more of the parameters is variable. In general, the parameter influence the shape of the curve in a way that is more complicated than a simple linear transformation. Sets of curves given by an implicit relation may also represent families of curves.

Printed dictionaries and other books with definitions for Family of curves

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Google previewEncyclopedia of Optical Engineering: Abe-Las, pages 1-1024 (2003)

by Ronald G. Driggers

gives a family of curves for emissivity measurement error vs. emissivity value for various target temperature rises above background, using the reference emitter technique (error, Eq. 17). The emissivity measurement error increases sharply ...

Google previewCRC Concise Encyclopedia of Mathematics, Second Edition (2002)

by Eric W. Weisstein

Lissajous Curve Lissajous curves are the family of curves described by the PARAMETRIC EQUATIONS x(t)0A cos(vx t(d x) (1) y(t)0B cos(vy t(d y);: (2) sometimes also written in the form x(t)0a sin(nt'c) (3) y(t)0b sin t: (4) They are sometimes ...

Google previewThe Rosen Comprehensive Dictionary of Math (2007)

by John O. E. Clark, William Hemsley

family of curves Set of curves that display a particular geometric pattern.

Google previewEncyclopedia of Soil Science (2007)

by Ward Chesworth

Appropriate calculations yield a family of curves (Figure F22). Extensions of the mathematical arguments that lead to Figure F22, and to cognate representations, explain the Schulze-Hardy rule (Sennett and Olivier, 1965), and in addition, the ...

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