
What is parameterization? - Mathematics Stack Exchange
Apr 25, 2015 · Would it be still correct to say that parameterization is a mathematical method to turn an implicit function into an explicit form, or to introduce a controlling variable outside the chosen …
differential geometry - how to parameterize a curve f (x,y ...
Mar 7, 2013 · The curves are conic sections, and there are many well-known ways to parameterize them. If you still need help with this case, let us know. For curves described by implicit equations of …
Is there a general way to parameterize all implicit functions?
Compare the set of all parameterized surfaces (curves) and the set of all surfaces (curves) represented by implicit function. (which is which super-set?) (3) For the case of rational (including polynomial) …
How to parameterize an ellipse? - Mathematics Stack Exchange
Jul 15, 2018 · How to parameterize an ellipse? Ask Question Asked 7 years, 5 months ago Modified 7 years, 5 months ago
Why do we say function "parameterized by" vs just function of (x,y,z,...)?
Mar 1, 2016 · I'm studying statistics, and in a lot of textbooks, the regression formulas always refers to the functions themselves as f(x) parameterized by a,b,c or something. And ...
How do I turn the equation for a curve in 3d into a parametric function?
Oct 27, 2024 · I tried parameterize the 2D projection of the curve ($\frac {x} {2}-\frac {3y} {4}+\frac {23} {4}=\sqrt {x^ {3}+x+23-y^ {2}}$) but I honestly don't know how, or if it is even possible. I've also seen …
Parametrization for the ellipsoids - Mathematics Stack Exchange
The answer to your question will depend on what you want to do with the ellipsoid. The Wikipedia page on geodesics on ellipsoids gives three possible parametrizations of the surface: (1) geographic …
How do you parameterize a circle? - Mathematics Stack Exchange
Dec 7, 2014 · Your parametrization is correct. Once you have a parameterization of the unit circle, it's pretty easy to parameterize any circle (or ellipse for that matter): What's a circle of radius $4$? Well, …
Parametrize a curve, Multivariable Calculus - Mathematics Stack …
Apr 5, 2016 · Hint: First you find the set of points that intersect.Solve f (x,y)=z. Then try parametrizing the curve you get have in mind known curves as circles-parabolas-lines or planes or hyperbola most …
How do I parametrize a circle that's not centered at the origin?
Jun 23, 2015 · Your first example circle works with the "angle parameter" and the second one doesn't because $ \ \theta \ $ measures "differences in direction" of rays or vectors emanating from the …