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MyWikiBiz, Author Your Legacy — Wednesday April 09, 2025
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Line 382:
Line 382:
~p~(q)+~~~(q)+~~p~~q~~+~~~~~q~~+~(p~(q))+~~p~~~~~+
{| 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>
|-
|-
|
|
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{| 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>
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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>
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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"
|
|
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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 , r )
\\[4pt]
\\[4pt]
−((p), q , (r))
\\[4pt]
\\[4pt]
−(p,~q)
+((p), (q), r )
\\[4pt]
\\[4pt]
−(p~~q)
+((p), (q), (r))
\end{matrix}</math>
\end{matrix}</math>
|-
|-
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Line 641:
|
|
<math>\begin{matrix}
<math>\begin{matrix}
−(((p), (q), (r)))
\\[4pt]
\\[4pt]
−((p,~q))
+(((p), (q), r ))
\\[4pt]
\\[4pt]
−(((p), q , (r)))
\\[4pt]
\\[4pt]
−(((p), q , r ))
\\[4pt]
\\[4pt]
−(( 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>
|}
|}
