# Questions tagged [parametrization]

For questions on parametrization, the process of finding parametric equations of a curve, a surface, or, more generally, a manifold or a variety, defined by an implicit equation.

666 questions
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### complex line integration $\int_{\gamma}zdz$

enter image description here I am confused with $y$ parameter and the one in $z=x+iy$. I know how to perform line integrals. But I am not sure how to compute parts i and ii I know the third part... ...
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### What are the conditions for a curve/surface to be parametrized?

I wanted to know what's on the title because I see a lot of people parametrizing curves/surfaces or saying that they can be parametrized somehow, but I never really saw a proof that it can really be ...
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### Reparametrization by Arclength Definition

In my textbook, reparametrization by arclength is described as follows: Take a regular vector function $\alpha (t)$ whose arclength is $s(t)$. $s(t)$ is an increasing differentiable function, so it ...
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