Mathematical Analysis

Wednesday, October 20, 2010

Functions

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See also: Mathematical Analysis - index A relational graph   [;F;]  is said to be functional (a functional graph )   [;\Leftarrow :\Rightar...
Sunday, October 17, 2010

Linear ordering (losets)

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See also: Mathematical Analysis - index , and in particular: relational graphs & relations preorder equivalence partial ordering (posets...
Saturday, October 16, 2010

Partial ordering (posets)

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See also: Mathematical Analysis - index , and in particular: relational graphs & relations preorder equivalence A relational graph   T  ...
Thursday, September 30, 2010

Equivalence

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See also: Mathematical Analysis Let's recall that a relation is said to be a preorder   [;\Leftarrow : \Rightarrow ;] it is reflexive ...
Wednesday, September 29, 2010

Transitivity reflexivity preorder

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See also: Mathematical Analysis - index A relational graph [;T;] is called transitive   [;\Leftarrow : \Rightarrow;]  [; \forall_{x\ y\ z} ...

Relational graphs and relations

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See also: Mathematical Analysis — index Let's start with three definitions: The Cartesian product   [;X\times Y;]  of two sets  [;X\ Y;]...

Kuratowski ordered pairs

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See also: Mathematical Analysis — index An unordered pair is simply a 2-element set, say  [;\{a\ \ b\};],  where  [;a \ne b ;]  (note that w...
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