Gourt Home::Gourt :: Dilation (mathematics)

 

In mathematics, a dilation is a function f from a metric space into itself that satisfies the identity

$d(f(x),f(y))=rd(x,y)$

where d(x,y) is the distance from x to y and r is some positive real number.

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Dilation is yet another name for similarity of a Euclidean space.

See also

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• homothety
• Isometric dilation
• Unitary dilation
• Dilation (non mathematical uses)

Metric spaces

 

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