Math 2.0

concept

Regular curve

Summary

A regular curve is a continuously differentiable parametrised curve whose tangent vector is never zero. At each point a regular curve has a well-defined tangent line, and it can be reparametrised by arc length.

What this node needs for W1
  • an inventory row: the row of the inventory that the node accounts for (0 of 1)

The writing levels say how complete the text of a node is. They do not measure its truth.

What this needs

To read this node, read these 6 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 curveconceptTangent vector of a curve, concept, no evidence levelTangent vector of a c…conceptRegular curve, concept, no evidence levelRegular 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. Tangent vector of a curve concept
  6. Regular curve concept

What depends on this

1 node uses this node, directly or through other nodes.

Sources

  1. Web https://en.wikipedia.org/wiki/Differentiable_curve, Definitions

What links here

Definitions

Used by