Line 8,901: |
Line 8,901: |
| </pre> | | </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''' |
− | o-----o-----o------------o----------o----------o----------o----------o----------o
| + | |- style="background:paleturquoise" |
− | | u v | f g | Df | Dg | df | dg | rf | rf | | + | | ''u'' ''v'' |
− | o-----o-----o------------o----------o----------o----------o----------o----------o
| + | | ''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%" |
− | o-----o-----o------------o----------o----------o----------o----------o----------o
| + | | 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: |