# Family of curves

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## 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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### Encyclopedia 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 ...

### CRC 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 ...

### The 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.

### Encyclopedia 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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