Math 2.0

concept

Curl

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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  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

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To read this node, read these 7 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 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 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. Function of several variables concept
  4. Vector-valued function concept
  5. Partial derivative concept
  6. Vector field concept
  7. Curl concept

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2 nodes use this node, directly or through other nodes.

Sources

  1. Web https://en.wikipedia.org/wiki/Curl_(mathematics), Definition

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Definitions

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