MyWikiBiz, Author Your Legacy — Friday November 22, 2024
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, 14:25, 19 June 2007
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| In their application to the present example, namely, the logical transformation ''F'' = ‹''f'', ''g''› = ‹((''u'')(''v'')), ((''u'', ''v''))›, the operators E and D respectively produce the enlarged map E''F'' = ‹E''f'', E''g''› and the difference map D''F'' = ‹D''f'', D''g''›, whose components can be given as follows, if the reader, in lieu of a special font for the logical parentheses, can forgive a syntactically bilingual formulation: | | In their application to the present example, namely, the logical transformation ''F'' = ‹''f'', ''g''› = ‹((''u'')(''v'')), ((''u'', ''v''))›, the operators E and D respectively produce the enlarged map E''F'' = ‹E''f'', E''g''› and the difference map D''F'' = ‹D''f'', D''g''›, whose components can be given as follows, if the reader, in lieu of a special font for the logical parentheses, can forgive a syntactically bilingual formulation: |
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− | <pre> | + | <br><font face="courier new"> |
− | o-------------------------------------------------o
| + | {| align="center" border="1" cellpadding="12" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:left; width:96%" |
− | | | | + | | |
− | | Ef = ((u + du)(v + dv)) | | + | {| align="left" border="0" cellpadding="12" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:left; width:100%" |
− | | | | + | | width="8%" | E''f'' |
− | | Eg = ((u + du, v + dv)) | | + | | width="4%" | = |
− | | | | + | | width="88%" | ((''u'' + d''u'')(''v'' + d''v'')) |
− | o-------------------------------------------------o
| + | |- |
− | </pre> | + | | width="8%" | E''g'' |
| + | | width="4%" | = |
| + | | width="88%" | ((''u'' + d''u'', ''v'' + d''v'')) |
| + | |} |
| + | |} |
| + | </font><br> |
| | | |
| <pre> | | <pre> |