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Revision as of 14:45, 12 November 2012
, 14:45, 12 November 2012→Current Work
{| 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>
\\[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>
|}
|}
