Talk:Function composition: Difference between revisions
Content added Content deleted
m (J: do not wrap expressions in table headers) |
(J: fix representation of even/odd conjunctions) |
||
| Line 77: | Line 77: | ||
|- |
|- |
||
|<tt>..</tt> |
|<tt>..</tt> |
||
|<tt>(('''f''' |
|<tt>(('''f''' y) + '''f'''('''g''' ''y''))/2</tt> |
||
|<tt>((x '''f''' y) + ('''g''' ''x'')'''f'''('''g''' ''y''))/2</tt> |
|||
|<tt>N/A</tt> |
|||
|Given <tt>'''h'''←'''f'''..'''g'''</tt>, the resulting function, <tt>'''h'''</tt>, is ''even'' in the sense that <tt>('''h''' ''y'') = ('''h''' -''y'')</tt> for any <tt>''y''</tt> ; its graph is reflected in the vertical axis. |
|Given <tt>'''h'''←'''f'''..'''g'''</tt>, the resulting function, <tt>'''h'''</tt>, is ''even'' in the sense that <tt>('''h''' ''y'') = ('''h''' -''y'')</tt> for any <tt>''y''</tt> ; its graph is reflected in the vertical axis. |
||
|- |
|- |
||
|<tt>.:</tt> |
|<tt>.:</tt> |
||
|<tt>(('''f''' y) - |
|<tt>(('''f''' y) - '''f'''('''g''' ''y''))/2</tt> |
||
|<tt>((x '''f''' y) - ('''g''' ''x'')'''f'''('''g''' ''y''))/2</tt> |
|||
|<tt>N/A</tt> |
|||
|Given <tt>'''h'''←'''f'''.:'''g'''</tt>, the resulting function, <tt>'''h'''</tt>, is ''odd'' in the sense that <tt>('''h''' ''y'') = (-'''h''' -''y'')</tt> for any <tt>''y''</tt> ; its graph is reflected in the origin. |
|Given <tt>'''h'''←'''f'''.:'''g'''</tt>, the resulting function, <tt>'''h'''</tt>, is ''odd'' in the sense that <tt>('''h''' ''y'') = (-'''h''' -''y'')</tt> for any <tt>''y''</tt> ; its graph is reflected in the origin. |
||
|- |
|- |
||