query: Why is a curve parameterized by arc length necessarily a unit speed curve?
positive_passages.docid: 155291
positive_passages.text: Prove that for any piecewise smooth curve it is possible to find the parametrisation
negative_passages.docid: 91446
negative_passages.text: Average arc length of a uniformly distributed points
negative_passages.docid: 128258
negative_passages.text: Why aren't the graphs of $\sin(\arcsin x)$ and $\arcsin(\sin x)$ the same?
negative_passages.docid: 53661
negative_passages.text: Intuition surrounding units in $R[x]$
negative_passages.docid: 121904
negative_passages.text: Regarding the possibility of Closed Timelike Curves
negative_passages.docid: 66185
negative_passages.text: condition for curve on a sphere
negative_passages.docid: 120844
negative_passages.text: Intuitive explanation of unit root
negative_passages.docid: 37357
negative_passages.text: Rectifiability of a curve
negative_passages.docid: 18718
negative_passages.text: How can curves be converted to meshes?
negative_passages.docid: 63802
negative_passages.text: Parametric Equation of a Circle Using a Line
negative_passages.docid: 52316
negative_passages.text: Geodesics and Curves on a Plane
negative_passages.docid: 39684
negative_passages.text: What would a closed timelike curve look like?
negative_passages.docid: 52494
negative_passages.text: Why can't we use the circumference of a circle to find arc lengths of polar curves?
negative_passages.docid: 70303
negative_passages.text: Parametric form of a plane
negative_passages.docid: 136936
negative_passages.text: How do you tell if a metric is curved?
negative_passages.docid: 113516
negative_passages.text: Why can we only add or subtract things of the same dimension (meters/second, newtons, etc)?
negative_passages.docid: 121311
negative_passages.text: Simple Harmonic Motion - What are the units for $\omega_0$?