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MyWikiBiz, Author Your Legacy — Thursday May 16, 2024
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Line 256: Line 256:  
p
 
p
 
\\
 
\\
\overline{~~~~~~~~~~~~}
+
\overline{~~~~~~~~~~~~~~~}
 
\\
 
\\
 
q
 
q
Line 274: Line 274:  
p
 
p
 
\\
 
\\
=\!=\!=\!=\!=\!=\!=
+
=\!=\!=\!=\!=\!=\!=\!=
 
\\
 
\\
 
p~q
 
p~q
 +
\end{array}</math>
 +
|}
 +
 +
<br>
 +
 +
{| align="center" cellpadding="8" width="90%"
 +
| width="1%" | <big>&bull;</big>
 +
| colspan="3" | '''Example 2.  Transitivity'''
 +
|-
 +
| &nbsp;
 +
| width="1%" | &nbsp;
 +
| colspan="2" | ''Information Reducing Inference''
 +
|-
 +
| &nbsp;
 +
| &nbsp;
 +
| width="1%" | &nbsp;
 +
|
 +
<math>\begin{array}{l}
 +
p \le q
 +
\\
 +
q \le r
 +
\\
 +
\overline{~~~~~~~~~~~~~~~}
 +
\\
 +
p \le r
 +
\end{array}</math>
 +
|-
 +
| &nbsp;
 +
| &nbsp;
 +
| colspan="2" | ''Information Preserving Inference''
 +
|-
 +
| &nbsp;
 +
| &nbsp;
 +
| &nbsp;
 +
|
 +
<math>\begin{array}{l}
 +
p \le q
 +
\\
 +
q \le r
 +
\\
 +
=\!=\!=\!=\!=\!=\!=\!=
 +
\\
 +
p \le q \le r
 
\end{array}</math>
 
\end{array}</math>
 
|}
 
|}
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