Math 2.0

Real functions Concept

Curl

Builds on Vector fieldPartial derivative

Summary

The curl of a differentiable vector field in ℝ3\mathbb{R}^3 is a vector field that measures the rotation of the field at each point. Its direction is the axis of the strongest rotation, by the right-hand rule, and its length measures the rate of rotation.

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Euclidean space, object, no evidence levelEuclidean spaceobjectFunction, concept, no evidence levelFunctionconceptFunction of several variables, concept, no evidence levelFunction of several v…conceptVector-valued function, concept, no evidence levelVector-valued functionconceptPartial derivative, concept, no evidence levelPartial derivativeconceptVector field, concept, no evidence levelVector fieldconceptCurl, concept, no evidence levelCurlconcept
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.
  • no evidence level
  1. Euclidean space object
  2. Function concept
  3. Function of several variables concept
  4. Vector-valued function concept
  5. Partial derivative concept
  6. Vector field concept
  7. Curl concept

Where this leads

4 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Curl_(mathematics), Definition
About this page
Tag0NF6GQNXMY
URIm2://0NF6GQNXMY
Aliasesrotation-of-a-vector-field, rot
Kindconcept
WritingW1 stated
MSC26B12
UsesVector field, Partial derivative
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