MyWikiBiz, Author Your Legacy — Monday February 17, 2025
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, 16:46, 19 June 2007
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− | </font><br> | + | </font> |
− | | + | <br> |
− | <br><font face="courier new">
| + | <font face="courier new"> |
| {| align="center" border="1" cellpadding="12" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:left; width:96%" | | {| align="center" border="1" cellpadding="12" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:left; width:96%" |
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| Figure 69 gives a graphical picture of the difference map D''F'' = ‹D''f'', D''g''› for the transformation ''F'' = ‹''f'', ''g''› = ‹((''u'')(''v'')), ((''u'', ''v''))›. This depicts the same information about D''f'' and D''g'' that was given in the corresponding rows of the computation summary in Tables 66-i and 66-ii, excerpted here: | | Figure 69 gives a graphical picture of the difference map D''F'' = ‹D''f'', D''g''› for the transformation ''F'' = ‹''f'', ''g''› = ‹((''u'')(''v'')), ((''u'', ''v''))›. This depicts the same information about D''f'' and D''g'' that was given in the corresponding rows of the computation summary in Tables 66-i and 66-ii, excerpted here: |
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− | <pre> | + | <br><font face="courier new"> |
− | o-------------------------------------------------------------------------o
| + | {| align="center" border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:96%" |
− | | | | + | | |
− | | Df = uv. du dv + u(v). du (dv) + (u)v.(du) dv + (u)(v).((du)(dv)) | | + | {| align="left" border="0" cellpadding="1" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%" |
− | | | | + | | D''f'' |
− | | Dg = uv.(du, dv) + u(v).(du, dv) + (u)v.(du, dv) + (u)(v). (du, dv) | | + | | = || ''uv'' || <math>\cdot</math> || d''u'' d''v'' |
− | | | | + | | + || ''u''(''v'') || <math>\cdot</math> || d''u'' (d''v'') |
− | o-------------------------------------------------------------------------o
| + | | + || (''u'')''v'' || <math>\cdot</math> || (d''u'') d''v'' |
− | </pre> | + | | + || (''u'')(''v'') || <math>\cdot</math> || ((d''u'')(d''v'')) |
| + | |- |
| + | | |
| + | |- |
| + | | D''g'' |
| + | | = || ''uv'' || <math>\cdot</math> || (d''u'', d''v'') |
| + | | + || ''u''(''v'') || <math>\cdot</math> || (d''u'', d''v'') |
| + | | + || (''u'')''v'' || <math>\cdot</math> || (d''u'', d''v'') |
| + | | + || (''u'')(''v'') || <math>\cdot</math> || (d''u'', d''v'') |
| + | |} |
| + | |} |
| + | </font><br> |
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| <pre> | | <pre> |