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MyWikiBiz, Author Your Legacy — Tuesday May 14, 2024
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Table 68.  Computation of an Analytic Series in Symbolic Terms
 
Table 68.  Computation of an Analytic Series in Symbolic Terms
 
o-----o-----o------------o----------o----------o----------o----------o----------o
 
o-----o-----o------------o----------o----------o----------o----------o----------o
| u v | f g |    Df    |    Dg    |    df    |    dg    |    rf    |    rf   |
+
| u v | f g |    Df    |    Dg    |    df    |    dg    |    rf    |    rg   |
 
o-----o-----o------------o----------o----------o----------o----------o----------o
 
o-----o-----o------------o----------o----------o----------o----------o----------o
 
|    |    |            |          |          |          |          |          |
 
|    |    |            |          |          |          |          |          |
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:96%"
 
{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:96%"
|+ '''Table 64Transformation of Positions'''
+
|+ '''Table 68Computation of an Analytic Series in Symbolic Terms'''
 
|- style="background:paleturquoise"
 
|- style="background:paleturquoise"
 
| ''u''  ''v''
 
| ''u''  ''v''
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| d''f''
 
| d''f''
 
| d''g''
 
| d''g''
| r''f''
+
| d<sup>2</sup>''f''
| r''f''
+
| d<sup>2</sup>''g''
 
|-
 
|-
| width="12%" |
+
|
 
{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 
{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 
| 0&nbsp;&nbsp;0
 
| 0&nbsp;&nbsp;0
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| 1&nbsp;&nbsp;1
 
| 1&nbsp;&nbsp;1
 
|}
 
|}
| width="12%" |
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|
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{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
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| 0&nbsp;&nbsp;1
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|-
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|-
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| 1&nbsp;&nbsp;0
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| 1&nbsp;&nbsp;1
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{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 
{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 
| 0
 
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{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 
{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 
| 1
 
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{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 
{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 
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{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 
{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 
| 0
 
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{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 
{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 
| 1
 
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{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 
{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 
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{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
  −
| &uarr;
  −
|-
  −
| ''F''
  −
|-
  −
| ‹''f'',&nbsp;''g''&nbsp;›
  −
|-
  −
| &uarr;
   
|}
 
|}
 
|}
 
|}
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