Namespaces
Variants
Actions

Difference between revisions of "Dilatation"

From Encyclopedia of Mathematics
Jump to: navigation, search
(Importing text file)
 
(TeX)
 
Line 1: Line 1:
 +
{{TEX|done}}
 
An obsolete term used to denote special birational transformations. The modern term is [[Monoidal transformation|monoidal transformation]].
 
An obsolete term used to denote special birational transformations. The modern term is [[Monoidal transformation|monoidal transformation]].
  
Line 4: Line 5:
  
 
====Comments====
 
====Comments====
There are, however, also several non-obsolete meanings of the term, such as the dilatation (dilatation coefficient) <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d032/d032420/d0324201.png" /> of a [[Quasi-conformal mapping|quasi-conformal mapping]] and the theory of (unitary) dilatations in operator theory, cf. [[Contraction(2)|Contraction]] and [[Contraction semi-group|Contraction semi-group]]; cf. also [[Spectral set|Spectral set]].
+
There are, however, also several non-obsolete meanings of the term, such as the dilatation (dilatation coefficient) $k(f,a)$ of a [[Quasi-conformal mapping|quasi-conformal mapping]] and the theory of (unitary) dilatations in operator theory, cf. [[Contraction(2)|Contraction]] and [[Contraction semi-group|Contraction semi-group]]; cf. also [[Spectral set|Spectral set]].

Latest revision as of 14:10, 12 April 2014

An obsolete term used to denote special birational transformations. The modern term is monoidal transformation.


Comments

There are, however, also several non-obsolete meanings of the term, such as the dilatation (dilatation coefficient) $k(f,a)$ of a quasi-conformal mapping and the theory of (unitary) dilatations in operator theory, cf. Contraction and Contraction semi-group; cf. also Spectral set.

How to Cite This Entry:
Dilatation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Dilatation&oldid=31635
This article was adapted from an original article by V.A. Iskovskikh (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article