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Revision as of 14:45, 12 November 2012
, 14:45, 12 November 2012→Current Work
Line 6,037:
Line 6,037:
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:90%"
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:90%"
|+ style="height:30px" |
|+ style="height:30px" |
−<math>\text{Table 70.1} ~~ \text{Group Representation} ~ \operatorname{Rep}^A (V_4)\!</math>
+<math>\text{Table 70.1} ~~ \text{Group Representation} ~ \operatorname{Rep}^\text{A} (V_4)\!</math>
|- style="background:#f0f0ff"
|- style="background:#f0f0ff"
| width="16%" | <math>\begin{matrix} \text{Abstract} \\ \text{Element} \end{matrix}</math>
| width="16%" | <math>\begin{matrix} \text{Abstract} \\ \text{Element} \end{matrix}</math>
Line 6,114:
Line 6,114:
\\[4pt]
\\[4pt]
\operatorname{d}_{\text{ai}} * \operatorname{d}_{\text{bu}}
\operatorname{d}_{\text{ai}} * \operatorname{d}_{\text{bu}}
+\end{matrix}</math>
+|}
+
+<br>
+
+{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:90%"
+|+ style="height:30px" |
+<math>\text{Table 70.2} ~~ \text{Group Representation} ~ \operatorname{Rep}^\text{B} (V_4)\!</math>
+|- style="background:#f0f0ff"
+| width="16%" | <math>\begin{matrix} \text{Abstract} \\ \text{Element} \end{matrix}</math>
+| width="36%" | <math>\begin{matrix} \text{Logical} \\ \text{Element} \end{matrix}</math>
+| width="16%" | <math>\begin{matrix} \text{Active} \\ \text{List} \end{matrix}</math>
+| width="16%" | <math>\begin{matrix} \text{Active} \\ \text{Term} \end{matrix}</math>
+| width="16%" | <math>\begin{matrix} \text{Genetic} \\ \text{Element} \end{matrix}</math>
+|-
+| valign="bottom" |
+<math>\begin{matrix}
+1
+\\[4pt]
+r
+\\[4pt]
+s
+\\[4pt]
+t
+\end{matrix}</math>
+| valign="bottom" |
+<math>\begin{matrix}
+(\operatorname{d}\underline{\underline{\text{a}}})
+(\operatorname{d}\underline{\underline{\text{b}}})
+(\operatorname{d}\underline{\underline{\text{i}}})
+(\operatorname{d}\underline{\underline{\text{u}}})
+\\[4pt]
+~\operatorname{d}\underline{\underline{\text{a}}}~
+(\operatorname{d}\underline{\underline{\text{b}}})
+(\operatorname{d}\underline{\underline{\text{i}}})
+~\operatorname{d}\underline{\underline{\text{u}}}~
+\\[4pt]
+(\operatorname{d}\underline{\underline{\text{a}}})
+~\operatorname{d}\underline{\underline{\text{b}}}~
+~\operatorname{d}\underline{\underline{\text{i}}}~
+(\operatorname{d}\underline{\underline{\text{u}}})
+\\[4pt]
+~\operatorname{d}\underline{\underline{\text{a}}}~
+~\operatorname{d}\underline{\underline{\text{b}}}~
+~\operatorname{d}\underline{\underline{\text{i}}}~
+~\operatorname{d}\underline{\underline{\text{u}}}~
+\end{matrix}</math>
+| valign="bottom" |
+<math>\begin{matrix}
+\langle \operatorname{d}! \rangle
+\\[4pt]
+\langle
+\operatorname{d}\underline{\underline{\text{a}}} ~
+\operatorname{d}\underline{\underline{\text{u}}}
+\rangle
+\\[4pt]
+\langle
+\operatorname{d}\underline{\underline{\text{b}}} ~
+\operatorname{d}\underline{\underline{\text{i}}}
+\rangle
+\\[4pt]
+\langle \operatorname{d}* \rangle
+\end{matrix}</math>
+| valign="bottom" |
+<math>\begin{matrix}
+\operatorname{d}!
+\\[4pt]
+\operatorname{d}\underline{\underline{\text{a}}} \cdot
+\operatorname{d}\underline{\underline{\text{u}}} ~ !
+\\[4pt]
+\operatorname{d}\underline{\underline{\text{b}}} \cdot
+\operatorname{d}\underline{\underline{\text{i}}} ~ !
+\\[4pt]
+\operatorname{d}*
+\end{matrix}</math>
+| valign="bottom" |
+<math>\begin{matrix}
+1
+\\[4pt]
+\operatorname{d}_{\text{au}}
+\\[4pt]
+\operatorname{d}_{\text{bi}}
+\\[4pt]
+\operatorname{d}_{\text{au}} * \operatorname{d}_{\text{bi}}
\end{matrix}</math>
\end{matrix}</math>
|}
|}
