Math 2.0

concept

One-form

Summary

A one-form is a differential form of degree one. At each point it gives a linear function of tangent vectors. One-forms are the natural integrands of line integrals, and the differential of a function is the basic example.

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 2 nodes in this order. The foundations come first, and the list ends with this node.

Differential form, concept, no evidence levelDifferential formconceptOne-form, concept, no evidence levelOne-formconcept
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. Differential form concept
  2. One-form concept

Sources

  1. Web https://en.wikipedia.org/wiki/One-form, lead section

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