MyWikiBiz, Author Your Legacy — Sunday February 16, 2025
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172 bytes added
, 16:39, 25 June 2009
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| Writing functional compositions <math>f = g \circ h</math> "on the right", we have the following data about the situation: | | Writing functional compositions <math>f = g \circ h</math> "on the right", we have the following data about the situation: |
| | | |
− | <pre> | + | {| align="center" cellpadding="8" width="90%" |
− | X = {1, 2, 3, 4, 5}
| + | | |
− | M = {b, e}
| + | <math>\begin{array}{ccl} |
− | Y = {A, B, C, D, E, F}
| + | X & = & \{ 1, 2, 3, 4, 5 \} |
− | | + | \\[4pt] |
− | f : X -> Y, arbitrary
| + | M & = & \{ b, e \} |
− | g : X -> M, surjective
| + | \\[4pt] |
− | h : M -> Y, injective
| + | Y & = & \{ A, B, C, D, E, F \} |
− | | + | \\[8pt] |
− | f = g o h
| + | f & : & X \to Y, ~\text{arbitrary} |
− | </pre> | + | \\[4pt] |
| + | g & : & X \to M, ~\text{surjective} |
| + | \\[4pt] |
| + | h & : & M \to Y, ~\text{injective} |
| + | \\[8pt] |
| + | f & = & g \circ h |
| + | \end{array}</math> |
| + | |} |
| | | |
| What does all of this have to do with reification and so on? | | What does all of this have to do with reification and so on? |