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.
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The values obtained by those data also aligned to the parametric equation Pr/Ir versus Ir, but the coefficients differ from the expected values.
From (1) and (4), we get that the corresponding parameter value of intersection of parametric equation for the vline segment [L.sub.1] and the torus [GAMMA] is [??].
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.
Parametric equation of a second circle with center C2:
Note that D, the image of the diagonal line {[r.sub.1] = [r.sub.2]} under the map [V.sub.depr], is a cubic curve whose parametric equation is given by the formulas {c = - [r.sub.1.sup.2] - [r.sub.2.sup.2] - [r.sub.1][r.sub.2], d = - [r.sub.1.sup.2] [r.sub.2] - [r.sub.2.sup.2][r.sub.1]}.
Example 18 Let S be the ellipsoid represented by the following parametric equation
3) Examining the parametric equation for the envelope (fig 3b), we see that X=0 occurs when the parameter t = 1/2.
We note that m = f(b)-f(a)/g(b)-g(a) and we get y = 1/2 x + [pi]/2, the parametric equation for AC can be written as
Equation (7) expresses the parametric equation of the generated path through the fictitious mechanism Wp-7.
The second paper, 'Modeling shell morphology of an epitoniid species with parametric equations,' dealt with mathematically modelling marine species and noted the significance of the method in differentiating each group of specie.
They cover preparation for calculus; limits and their properties; differentiation; applications of differentiation; integration; differential equations; applications of integration; integration techniques and improper integrals; infinite series; conics, parametric equations, and polar coordinates; vectors and the geometry of space; vector-valued functions; functions of several variables; multiple integration; and vector analysis.
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.

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