Apr 25, 2015 · This parameterization looks qualitatively different from the trigonometric parameterization $\gamma (t)$ above, but they are related by a clever and important change of variable related to …

Aug 2, 2018 · What is the difference between parameterization and change of variables? How do I know when I'm doing one or the other? Also, under which one of these does "transformations" and …

Space filling curves are continuous, but wildly non-differentiable. There are a number of different definitions of "dimension" but for the one you're seeing in calculus, the functions have to be …

Dec 7, 2019 · Start asking to get answers Find the answer to your question by asking. Ask question

Apr 28, 2017 · How do I parametrize a triangle with vertices $A(1,1)$, $B(2,2)$ and $C(1,3)$? I have tried working with the equations of the lines that form it but am not completely ...

Parameterization is necessary to capture what your curve actually is but the particular parameterization used doesn't matter. If you setup the same line integral with two different parameterizations, those …

Feb 20, 2017 · How to find parameterization if 2 points are given? Ask Question Asked 8 years, 10 months ago Modified 8 years, 10 months ago

Oct 17, 2014 · What is the appropriate parametric equation of the boundary of a square? For example, the unit circle has a parametric equation $x(t)=\\cos(t)$ and $y(t)=\\sin(t)$.

Consider the parameterization of the unit circle given by x=cos (3t^2-t), y=sin (3t^2-t) for t in (-infinity, infinity). Describe in words and sketch how the circle is traced out, and use this to answer the …

Dec 5, 2023 · What Lee said is exactly what I said as well (indeed, Lee is one of the books I learnt from): parametrization goes from open set in $\Bbb {R}^k$ into the manifold, while charts go from manifold …