parametric equation


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parametric equation

[¦par·ə¦me·trik i′kwā·zhən]
(mathematics)
An equation where coordinates of points appear dependent on parameters such as the parametric equation of a curve or a surface.
References in periodicals archive ?
The use of this term in computational design came up in the decade of the seventies, with the emergence of methods to describe curves through parametric equations, from the seminal work of Steve Coons (1966), who proposed the definition of skewed surfaces by the subdivision in compound patches of four edge curves defined by similar equations for easier operation.
Although the PLMK has given better predictions than the PLM, its drawback is the difficulty of generalizing using a parametric equation as in the PLMK-parm.
Parametric equation of a second circle with center C2:
and the parametric equation for Q (where we apply Rolle's Theorem) is
After solving these equations, the parametric equations x (t) and y (t) (where x and y are spatial coordinates and t is the time) result from exponential functions.
The authors provide a precalculus review before covering limits, differentiations, the applications of the derivative, the integral, applications of the integral, techniques of integration, advanced applications of the integral and Taylor polynomials, differential equations, infinite series, parametric equations, polar coordinates, and conic sections over the bookAEs eleven chapters.
The parameters estimates presented in table 3 have also been used to build estimated Lorenz curve by applying parametric equations given in Table 1.
Finally, an adventurous student may wish to perturb the coefficients in the parametric equations and determine the manner in which the loop points change.
The topics are fundamentals, the unit-circle and right-angle approaches to trigonometric functions, analytic trigonometry, polar coordinates and parametric equations, vectors in two and three dimensions, conic sections, and exponential and logarithmic functions.
The piece is based on a set of parametric equations that create a deltoid, a type of hypocycloid which looks like a triangle with concave sides.
A consultant with over half a century experience in the aluminum and materials information industries, Kaufman explains how time-temperature parametric equations can permit the folding of data obtained over a variety of temperatures and exposure times into a single relationship.

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