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For example, consider the case where ''k'' = 3.  Then the minimal negation operation <math>\nu (p, q, r)\!</math>, when there is no risk of confusion written more simply as <math>(p, q, r)\!</math>, has the following venn diagram:
 
For example, consider the case where ''k'' = 3.  Then the minimal negation operation <math>\nu (p, q, r)\!</math>, when there is no risk of confusion written more simply as <math>(p, q, r)\!</math>, has the following venn diagram:
   −
<pre>
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{| align="center" cellpadding="10" style="text-align:center"
o-------------------------------------------------o
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|
|                                                 |
+
<p>[[Image:Minimal_Negation_Operator_1.jpg|500px]]</p>
|                                                |
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<p><math>\text{Figure 1.}\quad (p, q, r)\!</math>
|                o-------------o                |
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|}
|                /              \                |
  −
|               /                 \              |
  −
|              /                  \             |
  −
|            /                    \            |
  −
|            o                      o            |
  −
|            |          P          |            |
  −
|            |                      |            |
  −
|            |                      |            |
  −
|        o---o---------o  o---------o---o        |
  −
|      /    \`````````\ /`````````/    \      |
  −
|      /      \`````````o`````````/      \      |
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|    /        \```````/ \```````/        \    |
  −
|    /          \`````/  \`````/          \    |
  −
|  o            o---o-----o---o            o  |
  −
|  |                |`````|                |  |
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|  |                |`````|                |  |
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|  |        Q        |`````|        R        |  |
  −
|  o                o`````o                o  |
  −
|    \                \```/                /    |
  −
|    \                \`/                /    |
  −
|      \                o                /      |
  −
|      \              / \              /      |
  −
|        o-------------o  o-------------o        |
  −
|                                                |
  −
|                                                |
  −
o-------------------------------------------------o
  −
Figure 1. (p, q, r)
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</pre>
      
For a contrasting example, the boolean function expressed by the form <math>((p),(q),(r))\!</math> has the following venn diagram:
 
For a contrasting example, the boolean function expressed by the form <math>((p),(q),(r))\!</math> has the following venn diagram:
   −
<pre>
+
{| align="center" cellpadding="10" style="text-align:center"
o-------------------------------------------------o
+
|
|                                                 |
+
<p>[[Image:Minimal_Negation_Operator_2.jpg|500px]]</p>
|                                                |
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<p><math>\text{Figure 2.}\quad ((p),(q),(r))\!</math>
|                o-------------o                |
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|}
|                /```````````````\                |
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|               /`````````````````\              |
  −
|              /```````````````````\             |
  −
|            /`````````````````````\            |
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|            o```````````````````````o            |
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|            |`````````` P ``````````|            |
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|            |```````````````````````|            |
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|            |```````````````````````|            |
  −
|        o---o---------o```o---------o---o        |
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|      /`````\        \`/        /`````\      |
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|      /```````\        o        /```````\      |
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|    /`````````\      / \      /`````````\    |
  −
|    /```````````\    /  \    /```````````\    |
  −
|  o`````````````o---o-----o---o`````````````o  |
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|  |`````````````````|    |`````````````````|  |
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|  |`````````````````|    |`````````````````|  |
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|  |``````` Q ```````|    |``````` R ```````|  |
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|  o`````````````````o    o`````````````````o  |
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|    \`````````````````\  /`````````````````/    |
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|    \`````````````````\ /`````````````````/    |
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|      \`````````````````o`````````````````/      |
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|      \```````````````/ \```````````````/      |
  −
|        o-------------o  o-------------o        |
  −
|                                                |
  −
|                                                |
  −
o-------------------------------------------------o
  −
Figure 2. ((p),(q),(r))
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</pre>
      
==Glossary of basic terms==
 
==Glossary of basic terms==
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