View source for Adic

{{also|-adic}}
==English==

===Pronunciation===
* {{audio|en|LL-Q1860 (eng)-Flame, not lame-adic.wav|a=US}}

===Adjective===
{{en-adj|-}}

# {{lb|en|maths}} Relating to [[adicity]]
#* {{quote-journal|en|year=2015|date=|author=Thierry Giordano; David Handelman; Radu B. Munteanu|title=Nonsingular transformations and dimension spaces|journal=arXiv|url=http://arxiv.org/abs/1510.05672|doi=|volume=|issue=|pages=
|passage=For any '''adic''' transformation <math>T</math> defined on the path space <math>X</math> of an ordered Bratteli diagram, endowed with a Markov measure <math>\mu</math>, we construct an explicit dimension space (which corresponds to a matrix values random walk on <math>\mathbb{Z}</math>) whose Poisson boundary can be identified as a <math>\mathbb{Z}</math>-space with the dynamical system <math>(X,\mu,T)</math>. }}
# {{lb|en|algebra|of [[topology|topological]] [[ring]]}} Carrying the <math>I</math>[[-adic]] topology for some ideal <math>I</math> of the ring.

====Usage notes====
Some authors use the term ''[[pre-adic]]'' for the ring-theoretic sense given above, reserving the term ''adic'' for rings which are also [[complete]] with respect to this topology.

===Anagrams===
* {{anagrams|en|a=acdi|ACID|Daic|acid|cadi|caid}}

==Catalan==

===Pronunciation===
* {{ca-IPA}}

===Verb===
{{head|ca|verb form}}

# {{ca-verb form of|adir-se}}