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MyWikiBiz, Author Your Legacy — Sunday September 07, 2025
Jump to navigationJump to search→Table 66-ii. Computation Summary for g‹u, v› = ((u, v))
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:96%"
|+ Table 66-ii. Computation Summary for g‹''u'', ''v''› = ((''u'', ''v''))
|
{| align="left" border="0" cellpadding="1" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
| <math>\epsilon</math>''g''
| = || ''uv'' || <math>\cdot</math> || 1
| + || ''u''(''v'') || <math>\cdot</math> || 0
| + || (''u'')''v'' || <math>\cdot</math> || 0
| + || (''u'')(''v'') || <math>\cdot</math> || 1
|-
| E''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''))
|-
| 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'')
|-
| 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'')
|-
| r''g''
| = || ''uv'' || <math>\cdot</math> || 0
| + || ''u''(''v'') || <math>\cdot</math> || 0
| + || (''u'')''v'' || <math>\cdot</math> || 0
| + || (''u'')(''v'') || <math>\cdot</math> || 0
|}
|}
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===Table 67. Computation of an Analytic Series in Terms of Coordinates===
===Table 67. Computation of an Analytic Series in Terms of Coordinates===
