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Revision as of 13:28, 1 May 2012
, 13:28, 1 May 2012→Sign Relations
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
|+ style="height:30px" | <math>\text{Table 1.} ~~ \text{Sign Relation of Interpreter A}\!</math>
|+ style="height:30px" | <math>\text{Table 36.} ~~ \text{Semantics for Higher Order Signs}\!</math>
|- style="height:40px; background:#f0f0ff"
|- style="height:40px; background:#f0f0ff"
| <math>\text{Object}\!</math>
| <math>\text{Object Denoted}\!</math>
| <math>\text{Sign}\!</math>
| <math>\text{Equivalent Signs}\!</math>
|-
|-
| width="33%" |
| width="33%" |
\text{A}
\text{A}
\\
\\
\text{A}
\text{B}
\end{matrix}</math>
\end{matrix}</math>
| width="33%" |
| width="33%" |
<math>\begin{matrix}
<math>\begin{matrix}
{}^{\langle} \text{A} {}^{\rangle}
& = &
{}^{\backprime\backprime} \text{A} {}^{\prime\prime}
{}^{\backprime\backprime} \text{A} {}^{\prime\prime}
\\
\\
{}^{\backprime\backprime} \text{A} {}^{\prime\prime}
{}^{\langle} \text{B} {}^{\rangle}
& = &
{}^{\backprime\backprime} \text{B} {}^{\prime\prime}
{}^{\backprime\backprime} \text{i} {}^{\prime\prime}
\end{matrix}</math>
\end{matrix}</math>
|-
| width="33%" |
| width="33%" |
<math>\begin{matrix}
<math>\begin{matrix}
{}^{\backprime\backprime} \text{A} {}^{\prime\prime}
{}^{\backprime\backprime} \text{A} {}^{\prime\prime}
\\
\\
{}^{\backprime\backprime} \text{i} {}^{\prime\prime}
{}^{\backprime\backprime} \text{B} {}^{\prime\prime}
\\
\\
{}^{\backprime\backprime} \text{i} {}^{\prime\prime}
{}^{\backprime\backprime} \text{i} {}^{\prime\prime}
\\
\\
{}^{\backprime\backprime} \text{u} {}^{\prime\prime}
{}^{\backprime\backprime} \text{u} {}^{\prime\prime}
| width="33%" |
| width="33%" |
<math>\begin{matrix}
<math>\begin{matrix}
{}^{\backprime\backprime} \text{B} {}^{\prime\prime}
{}^{\langle\langle} \text{A} {}^{\rangle\rangle}
& = &
{}^{\langle\backprime\backprime} \text{A} {}^{\prime\prime\rangle}
& = &
{}^{\backprime\backprime\langle} \text{A} {}^{\rangle\prime\prime}
\\
\\
{}^{\backprime\backprime} \text{u} {}^{\prime\prime}
{}^{\langle\langle} \text{B} {}^{\rangle\rangle}
& = &
{}^{\langle\backprime\backprime} \text{B} {}^{\prime\prime\rangle}
& = &
{}^{\backprime\backprime\langle} \text{B} {}^{\rangle\prime\prime}
\\
\\
{}^{\backprime\backprime} \text{B} {}^{\prime\prime}
{}^{\langle\langle} \text{i} {}^{\rangle\rangle}
& = &
{}^{\langle\backprime\backprime} \text{i} {}^{\prime\prime\rangle}
& = &
{}^{\backprime\backprime\langle} \text{i} {}^{\rangle\prime\prime}
\\
\\
{}^{\backprime\backprime} \text{u} {}^{\prime\prime}
{}^{\langle\langle} \text{u} {}^{\rangle\rangle}
& = &
{}^{\langle\backprime\backprime} \text{u} {}^{\prime\prime\rangle}
& = &
{}^{\backprime\backprime\langle} \text{u} {}^{\rangle\prime\prime}
\end{matrix}</math>
\end{matrix}</math>
|}
|}
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