Math 2.0

concept

Algebraically closed field

Summary

An algebraically closed field is a field in which every nonconstant polynomial has a root. The complex numbers are the main example. The definition of an algebraically closed field gives equivalent conditions.

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)

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

Sources

  1. Web https://en.wikipedia.org/wiki/Algebraically_closed_field, lead section

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Definitions