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|   | <br>  |   | <br>  | 
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| − | <pre>  | + | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"  | 
| − | Table 77.  Adequated Sign Relation for Interpreters A & B  | + | |+ style="height:30px" | <math>\text{Table 77.} ~~ \text{Adequated Sign Relation for Interpreters A and B}\!</math>  | 
| − | 	Object	Sign	Interpretant
  | + | |- style="height:40px; background:#f0f0ff"  | 
| − | 	A	"[<A>]A"	"[<A>]A"
  | + | | width="33%" | <math>\text{Object}\!</math>  | 
| − | 	A	"[<A>]A"	"[<A>]B"
  | + | | width="33%" | <math>\text{Sign}\!</math>  | 
| − | 	A	"[<A>]A"	"[<i>]A"
  | + | | width="33%" | <math>\text{Interpretant}\!</math>  | 
| − | 	A	"[<A>]A"	"[<u>]B"
  | + | |-  | 
| − | 	A	"[<A>]B"	"[<A>]A"
  | + | | valign="bottom" |  | 
| − | 	A	"[<A>]B"	"[<A>]B"
  | + | <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"
  | + | \text{A}  | 
| − | 	A	"[<u>]B"	"[<A>]B"
  | + | \end{matrix}</math>  | 
| − | 	A	"[<u>]B"	"[<i>]A"
  | + | | valign="bottom" |  | 
| − | 	A	"[<u>]B"	"[<u>]B"
  | + | <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===  |