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

Revision as of 02:42, 29 September 2012

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Line 3,831: Line 3,831:  
\end{matrix}</math>
 
\end{matrix}</math>
 
|}
 
|}
−
  −
<br>
  −
  −
==Current Work==
  −
  −
<br>
  −
  −
<pre>
  −
Table 59.1  LIR2 (B):  Lateral Representation of B
  −
Object Sign Interpretant
  −
A (B) a (b)(i)(u) a (b)(i)(u)
  −
A (B) a (b)(i)(u) (a)(b)(i) u
  −
A (B) (a)(b)(i) u a (b)(i)(u)
  −
A (B) (a)(b)(i) u (a)(b)(i) u
  −
(A) B (a) b (i)(u) (a) b (i)(u)
  −
(A) B (a) b (i)(u) (a)(b) i (u)
  −
(A) B (a)(b) i (u) (a) b (i)(u)
  −
(A) B (a)(b) i (u) (a)(b) i (u)
  −
</pre>
  −
  −
<br>
  −
  −
<pre>
  −
Table 59.2  LIR2 (Den B):  Denotative Component of B
  −
Object Sign Transition
  −
A (B) a (b)(i)(u) <<a>Y, <A>X>
  −
A (B) (a)(b)(i) u <<u>Y, <A>X>
  −
(A) B (a) b (i)(u) <<b>Y, <B>X>
  −
(A) B (a)(b) i (u) <<i>Y, <B>X>
  −
</pre>
  −
  −
<br>
  −
  −
<pre>
  −
Table 59.3  LIR2 (Con B):  Connotative Component of B
  −
Sign Interpretant Transition
  −
a (b)(i)(u) a (b)(i)(u) (da)(db)(di)(du)
  −
a (b)(i)(u) (a)(b)(i) u da (db)(di) du
  −
(a)(b)(i) u a (b)(i)(u) da (db)(di) du
  −
(a)(b)(i) u (a)(b)(i) u (da)(db)(di)(du)
  −
(a) b (i)(u) (a) b (i)(u) (da)(db)(di)(du)
  −
(a) b (i)(u) (a)(b) i (u) (da) db  di (du)
  −
(a)(b) i (u) (a) b (i)(u) (da) db  di (du)
  −
(a)(b) i (u) (a)(b) i (u) (da)(db)(di)(du)
  −
</pre>
      
<br>
 
<br>
Line 4,219: Line 4,174:  
\end{matrix}</math>
 
\end{matrix}</math>
 
|}
 
|}
 +
 +
<br>
 +
 +
==Current Work==
 +
 +
<br>
 +
 +
<pre>
 +
Table 59.1  LIR2 (B):  Lateral Representation of B
 +
Object Sign Interpretant
 +
A (B) a (b)(i)(u) a (b)(i)(u)
 +
A (B) a (b)(i)(u) (a)(b)(i) u
 +
A (B) (a)(b)(i) u a (b)(i)(u)
 +
A (B) (a)(b)(i) u (a)(b)(i) u
 +
(A) B (a) b (i)(u) (a) b (i)(u)
 +
(A) B (a) b (i)(u) (a)(b) i (u)
 +
(A) B (a)(b) i (u) (a) b (i)(u)
 +
(A) B (a)(b) i (u) (a)(b) i (u)
 +
</pre>
 +
 +
<br>
 +
 +
<pre>
 +
Table 59.2  LIR2 (Den B):  Denotative Component of B
 +
Object Sign Transition
 +
A (B) a (b)(i)(u) <<a>Y, <A>X>
 +
A (B) (a)(b)(i) u <<u>Y, <A>X>
 +
(A) B (a) b (i)(u) <<b>Y, <B>X>
 +
(A) B (a)(b) i (u) <<i>Y, <B>X>
 +
</pre>
 +
 +
<br>
 +
 +
<pre>
 +
Table 59.3  LIR2 (Con B):  Connotative Component of B
 +
Sign Interpretant Transition
 +
a (b)(i)(u) a (b)(i)(u) (da)(db)(di)(du)
 +
a (b)(i)(u) (a)(b)(i) u da (db)(di) du
 +
(a)(b)(i) u a (b)(i)(u) da (db)(di) du
 +
(a)(b)(i) u (a)(b)(i) u (da)(db)(di)(du)
 +
(a) b (i)(u) (a) b (i)(u) (da)(db)(di)(du)
 +
(a) b (i)(u) (a)(b) i (u) (da) db  di (du)
 +
(a)(b) i (u) (a) b (i)(u) (da) db  di (du)
 +
(a)(b) i (u) (a)(b) i (u) (da)(db)(di)(du)
 +
</pre>
    
<br>
 
<br>
    
{| 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 56.1} ~~ \operatorname{LIR}_1 (L_\text{B}) : \text{Literal Representation of} ~ L_\text{B}\!</math>
+
|+ style="height:30px" |
 +
<math>\text{Table 58.1} ~~ \operatorname{LIR}_2 (L_\text{A}) : \text{Lateral Representation of} ~ L_\text{A}\!</math>
 
|- style="height:40px; background:#f0f0ff"
 
|- style="height:40px; background:#f0f0ff"
 
| width="33%" | <math>\text{Object}\!</math>
 
| width="33%" | <math>\text{Object}\!</math>
Line 4,231: Line 4,232:  
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
{\langle\underline{\underline{\text{A}}}\rangle}_W
+
~\underline{\underline{\text{A}}}~
 +
(\underline{\underline{\text{B}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{A}}}\rangle}_W
+
~\underline{\underline{\text{A}}}~
 +
(\underline{\underline{\text{B}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{A}}}\rangle}_W
+
~\underline{\underline{\text{A}}}~
 +
(\underline{\underline{\text{B}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{A}}}\rangle}_W
+
~\underline{\underline{\text{A}}}~
 +
(\underline{\underline{\text{B}}})
 
\end{matrix}</math>
 
\end{matrix}</math>
 
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
{\langle\underline{\underline{\text{a}}}\rangle}_W
+
~\underline{\underline{\text{a}}}~
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{a}}}\rangle}_W
+
~\underline{\underline{\text{a}}}~
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{u}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
~\underline{\underline{\text{i}}}~
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{u}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
~\underline{\underline{\text{i}}}~
 +
(\underline{\underline{\text{u}}})
 
\end{matrix}</math>
 
\end{matrix}</math>
 
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
{\langle\underline{\underline{\text{a}}}\rangle}_W
+
~\underline{\underline{\text{a}}}~
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{u}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
~\underline{\underline{\text{i}}}~
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{a}}}\rangle}_W
+
~\underline{\underline{\text{a}}}~
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{u}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
~\underline{\underline{\text{i}}}~
 +
(\underline{\underline{\text{u}}})
 
\end{matrix}</math>
 
\end{matrix}</math>
 
|-
 
|-
 
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
{\langle\underline{\underline{\text{B}}}\rangle}_W
+
(\underline{\underline{\text{A}}})
 +
~\underline{\underline{\text{B}}}~
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{B}}}\rangle}_W
+
(\underline{\underline{\text{A}}})
 +
~\underline{\underline{\text{B}}}~
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{B}}}\rangle}_W
+
(\underline{\underline{\text{A}}})
 +
~\underline{\underline{\text{B}}}~
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{B}}}\rangle}_W
+
(\underline{\underline{\text{A}}})
 +
~\underline{\underline{\text{B}}}~
 
\end{matrix}</math>
 
\end{matrix}</math>
 
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
{\langle\underline{\underline{\text{b}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
~\underline{\underline{\text{b}}}~
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{b}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
~\underline{\underline{\text{b}}}~
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{i}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
~\underline{\underline{\text{u}}}~
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{i}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
~\underline{\underline{\text{u}}}~
 
\end{matrix}</math>
 
\end{matrix}</math>
 
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
{\langle\underline{\underline{\text{b}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
~\underline{\underline{\text{b}}}~
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{i}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
~\underline{\underline{\text{u}}}~
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{b}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
~\underline{\underline{\text{b}}}~
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{i}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
~\underline{\underline{\text{u}}}~
 
\end{matrix}</math>
 
\end{matrix}</math>
 
|}
 
|}
Line 4,296: Line 4,353:  
{| 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" |
 
|+ style="height:30px" |
−
<math>\text{Table 56.2} ~~ \operatorname{LIR}_1 (\operatorname{Den}(L_\text{B})) : \text{Denotative Component of} ~ L_\text{B}\!</math>
+
<math>\text{Table 58.2} ~~ \operatorname{LIR}_2 (\operatorname{Den}(L_\text{A})) : \text{Denotative Component of} ~ L_\text{A}\!</math>
 
|- style="height:40px; background:#f0f0ff"
 
|- style="height:40px; background:#f0f0ff"
 
| width="33%" | <math>\text{Object}\!</math>
 
| width="33%" | <math>\text{Object}\!</math>
Line 4,304: Line 4,361:  
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
{\langle\underline{\underline{\text{A}}}\rangle}_W
+
~\underline{\underline{\text{A}}}~
 +
(\underline{\underline{\text{B}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{A}}}\rangle}_W
+
~\underline{\underline{\text{A}}}~
 +
(\underline{\underline{\text{B}}})
 
\end{matrix}</math>
 
\end{matrix}</math>
 
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
{\langle\underline{\underline{\text{a}}}\rangle}_W
+
~\underline{\underline{\text{a}}}~
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{u}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
~\underline{\underline{\text{i}}}~
 +
(\underline{\underline{\text{u}}})
 
\end{matrix}</math>
 
\end{matrix}</math>
 
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
({\langle\underline{\underline{\text{a}}}\rangle}_W,
+
({\langle\underline{\underline{\text{a}}}\rangle}_Y,
−
  {\langle\underline{\underline{\text{A}}}\rangle}_W)
+
  {\langle\underline{\underline{\text{A}}}\rangle}_X)
 
\\[4pt]
 
\\[4pt]
−
({\langle\underline{\underline{\text{u}}}\rangle}_W,
+
({\langle\underline{\underline{\text{i}}}\rangle}_Y,
−
  {\langle\underline{\underline{\text{A}}}\rangle}_W)
+
  {\langle\underline{\underline{\text{A}}}\rangle}_X)
 
\end{matrix}</math>
 
\end{matrix}</math>
 
|-
 
|-
 
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
{\langle\underline{\underline{\text{B}}}\rangle}_W
+
(\underline{\underline{\text{A}}})
 +
~\underline{\underline{\text{B}}}~
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{B}}}\rangle}_W
+
(\underline{\underline{\text{A}}})
 +
~\underline{\underline{\text{B}}}~
 
\end{matrix}</math>
 
\end{matrix}</math>
 
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
{\langle\underline{\underline{\text{b}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
~\underline{\underline{\text{b}}}~
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{i}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
~\underline{\underline{\text{u}}}~
 
\end{matrix}</math>
 
\end{matrix}</math>
 
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
({\langle\underline{\underline{\text{b}}}\rangle}_W,
+
({\langle\underline{\underline{\text{b}}}\rangle}_Y,
−
  {\langle\underline{\underline{\text{B}}}\rangle}_W)
+
  {\langle\underline{\underline{\text{B}}}\rangle}_X)
 
\\[4pt]
 
\\[4pt]
−
({\langle\underline{\underline{\text{i}}}\rangle}_W,
+
({\langle\underline{\underline{\text{u}}}\rangle}_Y,
−
  {\langle\underline{\underline{\text{B}}}\rangle}_W)
+
  {\langle\underline{\underline{\text{B}}}\rangle}_X)
 
\end{matrix}</math>
 
\end{matrix}</math>
 
|}
 
|}
Line 4,349: Line 4,422:  
{| 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" |
 
|+ style="height:30px" |
−
<math>\text{Table 56.3} ~~ \operatorname{LIR}_1 (\operatorname{Con}(L_\text{B})) : \text{Connotative Component of} ~ L_\text{B}\!</math>
+
<math>\text{Table 58.3} ~~ \operatorname{LIR}_2 (\operatorname{Con}(L_\text{A})) : \text{Connotative Component of} ~ L_\text{A}\!</math>
 
|- style="height:40px; background:#f0f0ff"
 
|- style="height:40px; background:#f0f0ff"
 
| width="33%" | <math>\text{Sign}\!</math>
 
| width="33%" | <math>\text{Sign}\!</math>
Line 4,357: Line 4,430:  
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
{\langle\underline{\underline{\text{a}}}\rangle}_W
+
~\underline{\underline{\text{a}}}~
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{a}}}\rangle}_W
+
~\underline{\underline{\text{a}}}~
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{u}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
~\underline{\underline{\text{i}}}~
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{u}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
~\underline{\underline{\text{i}}}~
 +
(\underline{\underline{\text{u}}})
 
\end{matrix}</math>
 
\end{matrix}</math>
 
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
{\langle\underline{\underline{\text{a}}}\rangle}_W
+
~\underline{\underline{\text{a}}}~
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{u}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
~\underline{\underline{\text{i}}}~
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{a}}}\rangle}_W
+
~\underline{\underline{\text{a}}}~
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{u}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
~\underline{\underline{\text{i}}}~
 +
(\underline{\underline{\text{u}}})
 
\end{matrix}</math>
 
\end{matrix}</math>
 
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
0_{\operatorname{d}W}
+
(\underline{\underline{\text{da}}})
 +
(\underline{\underline{\text{db}}})
 +
(\underline{\underline{\text{di}}})
 +
(\underline{\underline{\text{du}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle
+
~\underline{\underline{\text{da}}}~
−
\operatorname{d}\underline{\underline{\text{a}}}
+
(\underline{\underline{\text{db}}})
−
~
+
~\underline{\underline{\text{di}}}~
−
\operatorname{d}\underline{\underline{\text{u}}}
+
(\underline{\underline{\text{du}}})
−
\rangle}_{\operatorname{d}W}
   
\\[4pt]
 
\\[4pt]
−
{\langle
+
~\underline{\underline{\text{da}}}~
−
\operatorname{d}\underline{\underline{\text{a}}}
+
(\underline{\underline{\text{db}}})
−
~
+
~\underline{\underline{\text{di}}}~
−
\operatorname{d}\underline{\underline{\text{u}}}
+
(\underline{\underline{\text{du}}})
−
\rangle}_{\operatorname{d}W}
   
\\[4pt]
 
\\[4pt]
−
0_{\operatorname{d}W}
+
(\underline{\underline{\text{da}}})
 +
(\underline{\underline{\text{db}}})
 +
(\underline{\underline{\text{di}}})
 +
(\underline{\underline{\text{du}}})
 
\end{matrix}</math>
 
\end{matrix}</math>
 
|-
 
|-
 
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
{\langle\underline{\underline{\text{b}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
~\underline{\underline{\text{b}}}~
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{b}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
~\underline{\underline{\text{b}}}~
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{i}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
~\underline{\underline{\text{u}}}~
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{i}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
~\underline{\underline{\text{u}}}~
 
\end{matrix}</math>
 
\end{matrix}</math>
 
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
{\langle\underline{\underline{\text{b}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
~\underline{\underline{\text{b}}}~
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{i}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
~\underline{\underline{\text{u}}}~
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{b}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
~\underline{\underline{\text{b}}}~
 +
(\underline{\underline{\text{i}}})
 +
(\underline{\underline{\text{u}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle\underline{\underline{\text{i}}}\rangle}_W
+
(\underline{\underline{\text{a}}})
 +
(\underline{\underline{\text{b}}})
 +
(\underline{\underline{\text{i}}})
 +
~\underline{\underline{\text{u}}}~
 
\end{matrix}</math>
 
\end{matrix}</math>
 
| valign="bottom" |
 
| valign="bottom" |
 
<math>\begin{matrix}
 
<math>\begin{matrix}
−
0_{\operatorname{d}W}
+
(\underline{\underline{\text{da}}})
 +
(\underline{\underline{\text{db}}})
 +
(\underline{\underline{\text{di}}})
 +
(\underline{\underline{\text{du}}})
 
\\[4pt]
 
\\[4pt]
−
{\langle
+
(\underline{\underline{\text{da}}})
−
\operatorname{d}\underline{\underline{\text{b}}}
+
~\underline{\underline{\text{db}}}~
−
~
+
(\underline{\underline{\text{di}}})
−
\operatorname{d}\underline{\underline{\text{i}}}
+
~\underline{\underline{\text{du}}}~
−
\rangle}_{\operatorname{d}W}
   
\\[4pt]
 
\\[4pt]
−
{\langle
+
(\underline{\underline{\text{da}}})
−
\operatorname{d}\underline{\underline{\text{b}}}
+
~\underline{\underline{\text{db}}}~
−
~
+
(\underline{\underline{\text{di}}})
−
\operatorname{d}\underline{\underline{\text{i}}}
+
~\underline{\underline{\text{du}}}~
−
\rangle}_{\operatorname{d}W}
   
\\[4pt]
 
\\[4pt]
−
0_{\operatorname{d}W}
+
(\underline{\underline{\text{da}}})
 +
(\underline{\underline{\text{db}}})
 +
(\underline{\underline{\text{di}}})
 +
(\underline{\underline{\text{du}}})
 
\end{matrix}</math>
 
\end{matrix}</math>
 
|}
 
|}
Jon Awbrey
12,135

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