Changes

137 bytes added ,  02:34, 23 August 2009
Line 382: Line 382:  
{| align="center" border="1" cellpadding="4" cellspacing="0" style="background:#f0f0ff; font-weight:bold; text-align:center; width:90%"
 
{| align="center" border="1" cellpadding="4" cellspacing="0" style="background:#f0f0ff; font-weight:bold; text-align:center; width:90%"
 
|+ <math>\text{Table 1.}~~\text{Logical Boundaries and Their Complements}</math>
 
|+ <math>\text{Table 1.}~~\text{Logical Boundaries and Their Complements}</math>
| width="20%" | <math>\mathcal{L}_1</math>
+
| width="25%" | <math>\mathcal{L}_1</math>
| width="20%" | <math>\mathcal{L}_2</math>
+
| width="25%" | <math>\mathcal{L}_2</math>
| width="20%" | <math>\mathcal{L}_3</math>
+
| width="25%" | <math>\mathcal{L}_3</math>
| width="20%" | <math>\mathcal{L}_4</math>
+
| width="25%" | <math>\mathcal{L}_4</math>
 
|-
 
|-
 
| &nbsp;
 
| &nbsp;
Line 404: Line 404:  
{| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:90%"
 
{| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:90%"
 
|-
 
|-
| width="20%" | <math>f_{104}\!</math>
+
| width="25%" | <math>f_{104}\!</math>
| width="20%" | <math>f_{01101000}\!</math>
+
| width="25%" | <math>f_{01101000}\!</math>
| width="20%" | 0 1 1 0 1 0 0 0
+
| width="25%" | 0 1 1 0 1 0 0 0
| width="20%" | <math>( p , q , r )\!</math>
+
| width="25%" | <math>( p , q , r )\!</math>
 
|-
 
|-
 
| <math>f_{148}\!</math>
 
| <math>f_{148}\!</math>
Line 446: Line 446:  
{|  align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:90%"
 
{|  align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:90%"
 
|-
 
|-
| width="20%" | <math>f_{233}\!</math>
+
| width="25%" | <math>f_{233}\!</math>
| width="20%" | <math>f_{11101001}\!</math>
+
| width="25%" | <math>f_{11101001}\!</math>
| width="20%" | 1 1 1 0 1 0 0 1
+
| width="25%" | 1 1 1 0 1 0 0 1
| width="20%" | <math>(((p), (q), (r)))\!</math>
+
| width="25%" | <math>(((p), (q), (r)))\!</math>
 
|-
 
|-
 
| <math>f_{214}\!</math>
 
| <math>f_{214}\!</math>
Line 490: Line 490:     
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:90%"
 
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:90%"
|+ <math>\text{Table A1.}~~\text{Propositional Forms on Two Variables}</math>
+
|+ <math>\text{Table 1.}~~\text{Logical Boundaries and Their Complements}</math>
 
|- style="background:#f0f0ff"
 
|- style="background:#f0f0ff"
| width="15%" | <math>\mathcal{L}_1</math>
+
| width="25%" | <math>\mathcal{L}_1</math>
| width="15%" | <math>\mathcal{L}_2</math>
+
| width="25%" | <math>\mathcal{L}_2</math>
| width="15%" | <math>\mathcal{L}_3</math>
+
| width="25%" | <math>\mathcal{L}_3</math>
| width="15%" | <math>\mathcal{L}_4</math>
+
| width="25%" | <math>\mathcal{L}_4</math>
 
|- style="background:#f0f0ff"
 
|- style="background:#f0f0ff"
 
| &nbsp;
 
| &nbsp;
Line 568: Line 568:  
|
 
|
 
<math>\begin{matrix}
 
<math>\begin{matrix}
(~)
+
( p , q , r )
 
\\[4pt]
 
\\[4pt]
(p)(q)
+
( p , q , (r))
 
\\[4pt]
 
\\[4pt]
(p)~q~
+
( p , (q), r )
 
\\[4pt]
 
\\[4pt]
(p)~~~
+
( p , (q), (r))
 
\\[4pt]
 
\\[4pt]
~p~(q)
+
((p), q , r )
 
\\[4pt]
 
\\[4pt]
~~~(q)
+
((p), q , (r))
 
\\[4pt]
 
\\[4pt]
(p,~q)
+
((p), (q), r )
 
\\[4pt]
 
\\[4pt]
(p~~q)
+
((p), (q), (r))
 
\end{matrix}</math>
 
\end{matrix}</math>
 
|-
 
|-
Line 641: Line 641:  
|
 
|
 
<math>\begin{matrix}
 
<math>\begin{matrix}
~~p~~q~~
+
(((p), (q), (r)))
 
\\[4pt]
 
\\[4pt]
((p,~q))
+
(((p), (q), r ))
 
\\[4pt]
 
\\[4pt]
~~~~~q~~
+
(((p), q , (r)))
 
\\[4pt]
 
\\[4pt]
~(p~(q))
+
(((p), q , r ))
 
\\[4pt]
 
\\[4pt]
~~p~~~~~
+
(( p , (q), (r)))
 
\\[4pt]
 
\\[4pt]
((p)~q)~
+
(( p , (q), r ))
 
\\[4pt]
 
\\[4pt]
((p)(q))
+
(( p , q , (r)))
 
\\[4pt]
 
\\[4pt]
((~))
+
(( p , q , r ))
 
\end{matrix}</math>
 
\end{matrix}</math>
 
|}
 
|}
12,080

edits