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MyWikiBiz, Author Your Legacy — Friday November 22, 2024
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
Table 77. Adequated Sign Relation for Interpreters A & B
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|+ style="height:30px" | <math>\text{Table 77.} ~~ \text{Adequated Sign Relation for Interpreters A and B}\!</math>
Object Sign Interpretant
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|- style="height:40px; background:#f0f0ff"
A "[<A>]A" "[<A>]A"
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| width="33%" | <math>\text{Object}\!</math>
A "[<A>]A" "[<A>]B"
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| width="33%" | <math>\text{Sign}\!</math>
A "[<A>]A" "[<i>]A"
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| width="33%" | <math>\text{Interpretant}\!</math>
A "[<A>]A" "[<u>]B"
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|-
A "[<A>]B" "[<A>]A"
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| valign="bottom" |
A "[<A>]B" "[<A>]B"
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<math>\begin{matrix}
A "[<A>]B" "[<i>]A"
+
\text{A}
A "[<A>]B" "[<u>]B"
+
\\
A "[<i>]A" "[<A>]A"
+
\text{A}
A "[<i>]A" "[<A>]B"
+
\\
A "[<i>]A" "[<i>]A"
+
\text{A}
A "[<i>]A" "[<u>]B"
+
\\
A "[<u>]B" "[<A>]A"
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\text{A}
A "[<u>]B" "[<A>]B"
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\end{matrix}</math>
A "[<u>]B" "[<i>]A"
+
| valign="bottom" |
A "[<u>]B" "[<u>]B"
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<math>\begin{matrix}
B "[<B>]A" "[<B>]A"
+
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{A} {}^{\prime\prime}
B "[<B>]A" "[<B>]B"
+
\\
B "[<B>]A" "[<i>]B"
+
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{A} {}^{\prime\prime}
B "[<B>]A" "[<u>]A"
+
\\
B "[<B>]B" "[<B>]A"
+
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{A} {}^{\prime\prime}
B "[<B>]B" "[<B>]B"
+
\\
B "[<B>]B" "[<i>]B"
+
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{A} {}^{\prime\prime}
B "[<B>]B" "[<u>]A"
+
\end{matrix}</math>
B "[<i>]B" "[<B>]A"
+
| valign="bottom" |
B "[<i>]B" "[<B>]B"
+
<math>\begin{matrix}
B "[<i>]B" "[<i>]B"
+
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{A} {}^{\prime\prime}
B "[<i>]B" "[<u>]A"
+
\\
B "[<u>]A" "[<B>]A"
+
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{B} {}^{\prime\prime}
B "[<u>]A" "[<B>]B"
+
\\
B "[<u>]A" "[<i>]B"
+
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{A} {}^{\prime\prime}
B "[<u>]A" "[<u>]A"
+
\\
</pre>
+
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
\text{A}
 +
\\
 +
\text{A}
 +
\\
 +
\text{A}
 +
\\
 +
\text{A}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
\text{A}
 +
\\
 +
\text{A}
 +
\\
 +
\text{A}
 +
\\
 +
\text{A}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
\text{A}
 +
\\
 +
\text{A}
 +
\\
 +
\text{A}
 +
\\
 +
\text{A}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{A} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
\text{B}
 +
\\
 +
\text{B}
 +
\\
 +
\text{B}
 +
\\
 +
\text{B}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
\text{B}
 +
\\
 +
\text{B}
 +
\\
 +
\text{B}
 +
\\
 +
\text{B}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
\text{B}
 +
\\
 +
\text{B}
 +
\\
 +
\text{B}
 +
\\
 +
\text{B}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
\text{B}
 +
\\
 +
\text{B}
 +
\\
 +
\text{B}
 +
\\
 +
\text{B}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{B} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{i} {}^\rangle ]_\text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} [ {}^\langle \text{u} {}^\rangle ]_\text{A} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
|}
 +
 
 +
<br>
    
===6.39. Prospective Indices : Pointers to Future Work===
 
===6.39. Prospective Indices : Pointers to Future Work===
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