Math 2.0

concept

Closed curve

Summary

A closed curve is a parametrised curve on a closed interval whose end point is equal to its initial point. Its image can be seen as the image of a circle under a continuous map.

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What this needs

To read this node, read these 5 nodes in this order. The foundations come first, and the list ends with this node.

Euclidean space, object, no evidence levelEuclidean spaceobjectFunction, concept, no evidence levelFunctionconceptVector-valued function, concept, no evidence levelVector-valued functionconceptParametrised curve, concept, no evidence levelParametrised curveconceptClosed curve, concept, no evidence levelClosed curveconcept
Each node uses the nodes above it. The colour of the bar on a box shows the evidence level, and the box also gives it as text. The list below has the same nodes.
  • no evidence level
  1. Euclidean space object
  2. Function concept
  3. Vector-valued function concept
  4. Parametrised curve concept
  5. Closed curve concept

Sources

  1. Web https://en.wikipedia.org/wiki/Curve, Topological curve

What links here

Definitions