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  • In [[set theory]], the '''kernel of a function''' is the [[equivalence relation]] on the domain of the function expressing the property that equivalent ele ...nction gives rise to an equivalence relation as kernel. Conversely, every equivalence relation <math>\sim\,</math> on a set ''X'' gives rise to a function of which it is
    1 KB (191 words) - 16:00, 7 February 2009
  • #REDIRECT [[Equivalence relation]]
    34 bytes (3 words) - 17:43, 12 December 2008
  • In [[mathematics]], an '''equivalence relation''' is a (binary) [[relation (mathematics)|relation]] between objects that f A relation <math>\sim\,</math> on a set ''X'' is an equivalence relation if it satisfies the following three properties
    3 KB (477 words) - 17:43, 14 October 2009
  • ...that one element is the [[conjugate]] of the other. This relation is an [[equivalence relation]], and the [[equivalence class]]es are the '''conjugacy classes''' of the g
    802 bytes (124 words) - 01:13, 18 February 2009
  • * In [[abstract algebra]], an equivalence relation which respects algebraic operations
    645 bytes (93 words) - 12:51, 31 May 2009
  • ==Equivalence relation== {{main|Equivalence relation}}
    4 KB (684 words) - 11:25, 31 December 2008
  • ...f the set ''X'', and a partition <math>\mathcal{P}</math> gives rise to an equivalence relation where two elements are equivalent if they are in the same part from <math>\
    2 KB (336 words) - 07:17, 16 January 2009
  • * An [[equivalence relation]] is transitive:
    2 KB (295 words) - 14:28, 6 February 2009
  • The equivalence relation on the domain of a function defined by elements having the same function va
    195 bytes (30 words) - 15:56, 5 December 2008
  • {{r|Equivalence relation}}
    689 bytes (88 words) - 17:15, 11 January 2010
  • ...resulting [[relation (mathematics)|relation]] of ''[[conjugacy]]'' is an [[equivalence relation]], whose [[equivalence class]]es are the ''[[conjugacy class]]es''.
    2 KB (294 words) - 04:53, 19 November 2008
  • * Quotient set: the set of classes of an equivalence relation or of the fibres of a function.
    355 bytes (52 words) - 05:46, 9 January 2024
  • * [[Kernel of a function]], an [[equivalence relation]] on the domain of a function
    387 bytes (58 words) - 09:26, 30 September 2009
  • {{r|Equivalence relation}}
    1 KB (187 words) - 19:18, 11 January 2010
  • {{r|Equivalence relation}}
    898 bytes (142 words) - 02:34, 13 December 2008
  • ...dability preorder (assuming that it is a preorder) leads to the similarity equivalence relation, and a partial order (not just preorder) between classes of similar objects
    6 KB (944 words) - 08:32, 14 October 2013
  • ...dability preorder (assuming that it is a preorder) leads to the similarity equivalence relation, and a partial order (not just preorder) between classes of similar objects
    6 KB (944 words) - 15:09, 23 September 2013
  • {{r|Equivalence relation}}
    532 bytes (67 words) - 17:50, 11 January 2010
  • It is easy to verify that it is in fact an [[equivalence relation]]. Thus, it yields a partition of the set of reals into its equivalence cl
    4 KB (618 words) - 21:07, 15 November 2007
  • {{r|Equivalence relation}}
    856 bytes (107 words) - 18:36, 11 January 2010
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