Math 2.0

concept

Vector field

Summary

A vector field on a subset of Rn\mathbb{R}^n assigns a vector of Rn\mathbb{R}^n to each point of the subset. It models quantities with a direction and a size at each point, such as the velocity of a fluid or a force field.

What this node needs for W2
  • 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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What this needs

To read this node, read these 4 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 functionconceptVector field, concept, no evidence levelVector fieldconcept
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. Vector field concept

What depends on this

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

Sources

  1. Web https://en.wikipedia.org/wiki/Vector_field, Vector fields on subsets of Euclidean space

What links here

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Definitions