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Revision as of 17:40, 9 July 2007
, 17:40, 9 July 2007→Transformations of Type '''B'''<sup>2</sup> → '''B'''<sup>2</sup>: wiki table
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</pre>
</pre>
−{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:96%"
−Table 68. Computation of an Analytic Series in Symbolic Terms
+|+ '''Table 68. Computation of an Analytic Series in Symbolic Terms'''
−|- style="background:paleturquoise"
−| u v | f g | Df | Dg | df | dg | rf | rf |
+| ''u'' ''v''
−| ''f'' ''g''
−| | | | | | | | |
+| D''f''
−| 0 0 | 0 1 | ((du)(dv)) | (du, dv) | (du, dv) | (du, dv) | du dv | () |
+| D''g''
−| | | | | | | | |
+| d''f''
−| 0 1 | 1 0 | (du) dv | (du, dv) | dv | (du, dv) | du dv | () |
+| d''g''
−| | | | | | | | |
+| d<sup>2</sup>''f''
−| 1 0 | 1 0 | du (dv) | (du, dv) | du | (du, dv) | du dv | () |
+| d<sup>2</sup>''g''
−| | | | | | | | |
+|-
−| 1 1 | 1 1 | du dv | (du, dv) | () | (du, dv) | du dv | () |
+|
−| | | | | | | | |
+{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
−| 0 0
−</pre>
+|-
+| 0 1
+|-
+| 1 0
+|-
+| 1 1
+|}
+|
+{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
+| 0 1
+|-
+| 1 0
+|-
+| 1 0
+|-
+| 1 1
+|}
+|
+{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
+| ((d''u'')(d''v''))
+|-
+| (d''u'') d''v''
+|-
+| d''u'' (d''v'')
+|-
+| d''u'' d''v''
+|}
+|
+{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
+| (d''u'', d''v'')
+|-
+| (d''u'', d''v'')
+|-
+| (d''u'', d''v'')
+|-
+| (d''u'', d''v'')
+|}
+|
+{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
+| (d''u'', d''v'')
+|-
+| d''v''
+|-
+| d''u''
+|-
+| ( )
+|}
+|
+{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
+| (d''u'', d''v'')
+|-
+| (d''u'', d''v'')
+|-
+| (d''u'', d''v'')
+|-
+| (d''u'', d''v'')
+|}
+|
+{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
+| d''u'' d''v''
+|-
+| d''u'' d''v''
+|-
+| d''u'' d''v''
+|-
+| d''u'' d''v''
+|}
+|
+{| align="center" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
+| ( )
+|-
+| ( )
+|-
+| ( )
+|-
+| ( )
+|}
+|}
+<br>
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:
