Brouwer fixed-point theorem

[brou-er fikst-point]

Brouwer fixed-point theorem

[brou-er fikst-point]
noun Mathematics.
the theorem that for any continuous transformation of a circle into itself, including its boundary, there is at least one point that is mapped to itself.

Origin:
named after L. E. J. Brouwer
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Brouwer fixed-point theorem is always a great word to know.
So is graph. Does it mean:
a proportion containing terms of which an increase in one results in a decrease in another
a series of points as in forming a curve or surface, each of which represents a value of a given function, a network of lines connecting points
FOLDOC
Computing Dictionary

Brouwer Fixed-Point Theorem definition

topology
A well-known result in topology stating that any continuous transformation of an n-dimensional disk must have at least one fixed point.
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(2001-03-29)

The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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