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MyWikiBiz, Author Your Legacy — Thursday November 07, 2024
Jump to navigationJump to search→Table 49. Computation Summary for J
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:96%"
|+ Table 49. Computation Summary for ''J''
|
{| align="left" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
| <math>\epsilon</math>''J''
| = || ''uv'' || <math>\cdot</math> || 1
| + || ''u''(''v'') || <math>\cdot</math> || 0
| + || (''u'')''v'' || <math>\cdot</math> || 0
| + || (''u'')(''v'') || <math>\cdot</math> || 0
|-
| E''J''
| = || ''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''J''
| = || ''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''J''
| = || ''uv'' || <math>\cdot</math> || (d''u'', d''v'')
| + || ''u''(''v'') || <math>\cdot</math> || d''v''
| + || (''u'')''v'' || <math>\cdot</math> || d''u''
| + || (''u'')(''v'') || <math>\cdot</math> || 0
|-
| r''J''
| = || ''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''
|}
|}
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===Table 50. Computation of an Analytic Series in Terms of Coordinates===
===Table 50. Computation of an Analytic Series in Terms of Coordinates===
