Changes

MyWikiBiz, Author Your Legacy — Sunday April 06, 2025
Jump to navigationJump to search

Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 6 (view source)

Revision as of 04:04, 20 February 2013

3,170 bytes added ,  04:04, 20 February 2013
→‎6.35. Reducibility of Sign Relations: format tables
Line 8,828: Line 8,828:  
The next series of Tables illustrates the operation of <math>\operatorname{Proj}^{(2)}\!</math> by means of its actions on the sign relations <math>L_\text{A}\!</math> and <math>L_\text{B}.\!</math>  For ease of reference, Tables&nbsp;69.1 and 70.1 repeat the contents of Tables&nbsp;1 and 2, respectively, while the dyadic relations comprising <math>\operatorname{Proj}^{(2)}L_\text{A}\!</math> and <math>\operatorname{Proj}^{(2)}L_\text{B}\!</math> are shown in Tables&nbsp;69.2 to 69.4 and Tables&nbsp;70.2 to 70.4, respectively.
 
The next series of Tables illustrates the operation of <math>\operatorname{Proj}^{(2)}\!</math> by means of its actions on the sign relations <math>L_\text{A}\!</math> and <math>L_\text{B}.\!</math>  For ease of reference, Tables&nbsp;69.1 and 70.1 repeat the contents of Tables&nbsp;1 and 2, respectively, while the dyadic relations comprising <math>\operatorname{Proj}^{(2)}L_\text{A}\!</math> and <math>\operatorname{Proj}^{(2)}L_\text{B}\!</math> are shown in Tables&nbsp;69.2 to 69.4 and Tables&nbsp;70.2 to 70.4, respectively.
   −
<pre>
+
<br>
−
Table 69.1 Sign Relation of Interpreter A
+
 
−
Object Sign Interpretant
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
−
A "A" "A"
+
|+ style="height:30px" | <math>\text{Table 69.1} ~~ \text{Sign Relation of Interpreter A}\!</math>
−
A "A" "i"
+
|- style="height:40px; background:#f0f0ff"
−
A "i" "A"
+
| width="33%" | <math>\text{Object}\!</math>
−
A "i" "i"
+
| width="33%" | <math>\text{Sign}\!</math>
−
B "B" "B"
+
| width="33%" | <math>\text{Interpretant}\!</math>
−
B "B" "u"
+
|-
−
B "u" "B"
+
| valign="bottom" |
−
B "u" "u"
+
<math>\begin{matrix}
−
</pre>
+
\text{A}
 +
\\
 +
\text{A}
 +
\\
 +
\text{A}
 +
\\
 +
\text{A}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} \text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{i} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{i} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} \text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{i} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{i} {}^{\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} \text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{u} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{u} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} \text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{u} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{u} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
|}
 +
 
 +
<br>
    
<pre>
 
<pre>
Line 8,849: Line 8,910:  
B "u"
 
B "u"
 
</pre>
 
</pre>
 +
 +
<br>
    
<pre>
 
<pre>
Line 8,858: Line 8,921:  
B "u"
 
B "u"
 
</pre>
 
</pre>
 +
 +
<br>
    
<pre>
 
<pre>
Line 8,872: Line 8,937:  
</pre>
 
</pre>
   −
<pre>
+
<br>
−
Table 70.1 Sign Relation of Interpreter B
+
 
−
Object Sign Interpretant
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
−
A "A" "A"
+
|+ style="height:30px" | <math>\text{Table 70.1} ~~ \text{Sign Relation of Interpreter B}\!</math>
−
A "A" "u"
+
|- style="height:40px; background:#f0f0ff"
−
A "u" "A"
+
| width="33%" | <math>\text{Object}\!</math>
−
A "u" "u"
+
| width="33%" | <math>\text{Sign}\!</math>
−
B "B" "B"
+
| width="33%" | <math>\text{Interpretant}\!</math>
−
B "B" "i"
+
|-
−
B "i" "B"
+
| valign="bottom" |
−
B "i" "i"
+
<math>\begin{matrix}
−
</pre>
+
\text{A}
 +
\\
 +
\text{A}
 +
\\
 +
\text{A}
 +
\\
 +
\text{A}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} \text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{u} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{u} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} \text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{u} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{A} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{u} {}^{\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} \text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{i} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{i} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\backprime\backprime} \text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{i} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{B} {}^{\prime\prime}
 +
\\
 +
{}^{\backprime\backprime} \text{i} {}^{\prime\prime}
 +
\end{matrix}</math>
 +
|}
 +
 
 +
<br>
    
<pre>
 
<pre>
Line 8,893: Line 9,019:  
B "i"
 
B "i"
 
</pre>
 
</pre>
 +
 +
<br>
    
<pre>
 
<pre>
Line 8,902: Line 9,030:  
B "i"
 
B "i"
 
</pre>
 
</pre>
 +
 +
<br>
    
<pre>
 
<pre>
Line 8,915: Line 9,045:  
"i" "i"
 
"i" "i"
 
</pre>
 
</pre>
 +
 +
<br>
    
<pre>
 
<pre>
Jon Awbrey
12,080

edits

Retrieved from "https://mywikibiz.com/Special:MobileDiff/172567"

Navigation menu