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

Revision as of 22:02, 21 February 2013

3,238 bytes added ,  22:02, 21 February 2013
→‎6.36. Irreducibly Triadic Relations: format tables
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<br>
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<pre>
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:75%"
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Table 74.1 Relation R0 = {<x, y, z> C B3 : x + y + z = 0}
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|+ style="height:30px" | <math>\text{Table 74.1} ~~ \text{Relation} ~ L_0 =\{ (x, y, z) \in \mathbb{B}^3 : x + y + z = 0 \}\!</math>
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x y z
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|- style="height:40px; background:#f0f0ff"
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0 0 0
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| width="33%" | <math>x\!</math>
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0 1 1
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| width="33%" | <math>y\!</math>
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1 0 1
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| width="33%" | <math>z\!</math>
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1 1 0
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|-
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</pre>
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| valign="bottom" | <math>\begin{matrix}0\\0\\1\\1\end{matrix}</math>
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| valign="bottom" | <math>\begin{matrix}0\\1\\0\\1\end{matrix}</math>
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| valign="bottom" | <math>\begin{matrix}0\\1\\1\\0\end{matrix}</math>
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|}
    
<br>
 
<br>
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<pre>
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:50%"
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Table 74.2 Dyadic Projection R012
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|+ style="height:30px" | <math>\text{Table 74.2} ~~ \text{Dyadic Projection} ~ (L_0)_{12}\!</math>
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x y
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|- style="height:40px; background:#f0f0ff"
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0 0
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| width="33%" | <math>x\!</math>
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0 1
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| width="33%" | <math>y\!</math>
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1 0
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|-
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1 1
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| valign="bottom" | <math>\begin{matrix}0\\0\\1\\1\end{matrix}</math>
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</pre>
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| valign="bottom" | <math>\begin{matrix}0\\1\\0\\1\end{matrix}</math>
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|}
    
<br>
 
<br>
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<pre>
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:50%"
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Table 74.3 Dyadic Projection R013
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|+ style="height:30px" | <math>\text{Table 74.3} ~~ \text{Dyadic Projection} ~ (L_0)_{13}\!</math>
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x z
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|- style="height:40px; background:#f0f0ff"
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0 0
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| width="33%" | <math>x\!</math>
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0 1
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| width="33%" | <math>z\!</math>
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1 1
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|-
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1 0
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| valign="bottom" | <math>\begin{matrix}0\\0\\1\\1\end{matrix}</math>
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</pre>
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| valign="bottom" | <math>\begin{matrix}0\\1\\1\\0\end{matrix}</math>
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|}
    
<br>
 
<br>
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<pre>
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:50%"
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Table 74.4 Dyadic Projection R023
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|+ style="height:30px" | <math>\text{Table 74.4} ~~ \text{Dyadic Projection} ~ (L_0)_{23}\!</math>
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y z
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|- style="height:40px; background:#f0f0ff"
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0 0
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| width="33%" | <math>y\!</math>
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1 1
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| width="33%" | <math>z\!</math>
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0 1
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|-
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1 0
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| valign="bottom" | <math>\begin{matrix}0\\1\\0\\1\end{matrix}</math>
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</pre>
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| valign="bottom" | <math>\begin{matrix}0\\1\\1\\0\end{matrix}</math>
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|}
    
<br>
 
<br>
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<pre>
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:75%"
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Table 75.1 Relation R1 = {<x, y, z> C B3 : x + y + z = 1}
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|+ style="height:30px" | <math>\text{Table 75.1} ~~ \text{Relation} ~ L_1 =\{ (x, y, z) \in \mathbb{B}^3 : x + y + z = 1 \}\!</math>
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x y z
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|- style="height:40px; background:#f0f0ff"
−
0 0 1
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| width="33%" | <math>x\!</math>
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0 1 0
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| width="33%" | <math>y\!</math>
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1 0 0
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| width="33%" | <math>z\!</math>
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1 1 1
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|-
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</pre>
+
| valign="bottom" | <math>\begin{matrix}0\\0\\1\\1\end{matrix}</math>
 +
| valign="bottom" | <math>\begin{matrix}0\\1\\0\\1\end{matrix}</math>
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| valign="bottom" | <math>\begin{matrix}1\\0\\0\\1\end{matrix}</math>
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|}
    
<br>
 
<br>
   −
<pre>
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:50%"
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Table 75.2 Dyadic Projection R112
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|+ style="height:30px" | <math>\text{Table 75.2} ~~ \text{Dyadic Projection} ~ (L_1)_{12}\!</math>
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x y
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|- style="height:40px; background:#f0f0ff"
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0 0
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| width="33%" | <math>x\!</math>
−
0 1
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| width="33%" | <math>y\!</math>
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1 0
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|-
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1 1
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| valign="bottom" | <math>\begin{matrix}0\\0\\1\\1\end{matrix}</math>
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</pre>
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| valign="bottom" | <math>\begin{matrix}0\\1\\0\\1\end{matrix}</math>
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|}
    
<br>
 
<br>
   −
<pre>
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:50%"
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Table 75.3 Dyadic Projection R113
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|+ style="height:30px" | <math>\text{Table 75.3} ~~ \text{Dyadic Projection} ~ (L_1)_{13}\!</math>
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x z
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|- style="height:40px; background:#f0f0ff"
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0 1
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| width="33%" | <math>x\!</math>
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0 0
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| width="33%" | <math>z\!</math>
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1 0
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|-
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1 1
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| valign="bottom" | <math>\begin{matrix}0\\0\\1\\1\end{matrix}</math>
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</pre>
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| valign="bottom" | <math>\begin{matrix}1\\0\\0\\1\end{matrix}</math>
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|}
    
<br>
 
<br>
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<pre>
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:50%"
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Table 75.4 Dyadic Projection R123
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|+ style="height:30px" | <math>\text{Table 75.4} ~~ \text{Dyadic Projection} ~ (L_1)_{23}\!</math>
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y z
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|- style="height:40px; background:#f0f0ff"
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0 1
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| width="33%" | <math>y\!</math>
−
1 0
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| width="33%" | <math>z\!</math>
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0 0
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|-
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1 1
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| valign="bottom" | <math>\begin{matrix}0\\1\\0\\1\end{matrix}</math>
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</pre>
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| valign="bottom" | <math>\begin{matrix}1\\0\\0\\1\end{matrix}</math>
 +
|}
    
<br>
 
<br>
Jon Awbrey
12,080

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