Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision Next revision Both sides next revision | ||
|
relation_concatenation [2013/08/06 20:57] nikolaj |
relation_concatenation [2013/08/06 20:59] nikolaj |
||
|---|---|---|---|
| Line 10: | Line 10: | ||
| ==== Ramifications ==== | ==== Ramifications ==== | ||
| === Satisfies === | === Satisfies === | ||
| - | Concatenations/compositions are associative. | + | Concatenations/compositions are associative. |
| + | === 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 | ||
| + | |||
| + | $g:X\to Y,\ \ f:Y\to Z$ | ||
| + | |||
| + | then | ||
| + | |||
| + | $f\circ g:X\to Z$ | ||
| $(f\circ g)(x):=f(g(x))$ | $(f\circ g)(x):=f(g(x))$ | ||
