Math 2.0

Differential geometry Concept

Parametrised curve

Builds on Vector-valued functionEuclidean space

Summary

A parametrised curve in ℝn\mathbb{R}^n is a continuous vector-valued function of one real variable, defined on an interval. One can think of the parameter as time and of the curve as the trajectory of a moving point.

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Euclidean space, object, no evidence levelEuclidean spaceobjectFunction, concept, no evidence levelFunctionconceptVector-valued function, concept, no evidence levelVector-valued functionconceptParametrised curve, concept, no evidence levelParametrised curveconcept
Each page uses the pages above it. The colour of the bar on a box shows how strong the evidence is, and the box also gives it as text. The list has the same pages.
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  1. Euclidean space object
  2. Function concept
  3. Vector-valued function concept
  4. Parametrised curve concept

Where this leads

29 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Parametric_equation, lead section
  2. Web https://en.wikipedia.org/wiki/Differentiable_curve, Definitions
About this page
Tag0G7WM8DX4P
URIm2://0G7WM8DX4P
Aliasesparametric-curve, path-in-rn
Kindconcept
WritingW0 stub
MSC53A04
UsesVector-valued function, Euclidean space

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