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relation_concatenation [2013/08/06 20:59] nikolaj |
relation_concatenation [2013/08/06 20:59] nikolaj |
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| Line 9: | Line 9: | ||
| ==== Ramifications ==== | ==== Ramifications ==== | ||
| + | === Satisfies === | ||
| + | Concatenations/compositions are associative. | ||
| === Discussion === | === Discussion === | ||
| A mayority of uses of the relation concatenation is when the relation is functional, i.e. one composes functions alla | A mayority of uses of the relation concatenation is when the relation is functional, i.e. one composes functions alla | ||
| Line 16: | Line 18: | ||
| then | then | ||
| - | $(f\circ g):X\to Z$ | + | $f\circ g:X\to Z$ |
| $(f\circ g)(x):=f(g(x))$ | $(f\circ g)(x):=f(g(x))$ | ||
| - | |||
| - | Concatenations/compositions are associative. | ||
| ==== Context ==== | ==== Context ==== | ||
| Set constructor | Set constructor | ||
| === Parents === | === Parents === | ||
| [[Binary relation]] | [[Binary relation]] | ||
