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Relation reduction (view source)

Revision as of 17:54, 17 May 2010

128 bytes removed ,  17:54, 17 May 2010
table bodies (style="background:#f8f8ff;) table heads (style="background:#e6e6ff")
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The 3-adic relations '''L'''<sub>0</sub> and '''L'''<sub>1</sub> are shown in the next two Tables:
 
The 3-adic relations '''L'''<sub>0</sub> and '''L'''<sub>1</sub> are shown in the next two Tables:
   −
{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:60%"
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:60%"
 
|+ '''L'''<sub>0</sub> = {(''x'', ''y'', ''z'') &#8712; '''B'''<sup>3</sup> : ''x'' + ''y'' + ''z'' = 0}
 
|+ '''L'''<sub>0</sub> = {(''x'', ''y'', ''z'') &#8712; '''B'''<sup>3</sup> : ''x'' + ''y'' + ''z'' = 0}
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! X !! Y !! Z
 
! X !! Y !! Z
 
|-
 
|-
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<br>
 
<br>
   −
{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:60%"
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:60%"
 
|+ '''L'''<sub>1</sub> = {(''x'', ''y'', ''z'') &#8712; '''B'''<sup>3</sup> : ''x'' + ''y'' + ''z'' = 1}
 
|+ '''L'''<sub>1</sub> = {(''x'', ''y'', ''z'') &#8712; '''B'''<sup>3</sup> : ''x'' + ''y'' + ''z'' = 1}
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! X !! Y !! Z
 
! X !! Y !! Z
 
|-
 
|-
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{| align="center" style="width:90%"
 
{| align="center" style="width:90%"
 
|
 
|
−
{| border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:90%"
+
{| border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:90%"
 
|+ proj<sub>''XY''</sub>('''L'''<sub>0</sub>)
 
|+ proj<sub>''XY''</sub>('''L'''<sub>0</sub>)
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! X !! Y
 
! X !! Y
 
|-
 
|-
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|}
 
|}
 
|
 
|
−
{| border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:90%"
+
{| border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:90%"
 
|+ proj<sub>''XZ''</sub>('''L'''<sub>0</sub>)
 
|+ proj<sub>''XZ''</sub>('''L'''<sub>0</sub>)
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! X !! Z
 
! X !! Z
 
|-
 
|-
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|}
 
|}
 
|
 
|
−
{| border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:90%"
+
{| border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:90%"
 
|+ proj<sub>''YZ''</sub>('''L'''<sub>0</sub>)
 
|+ proj<sub>''YZ''</sub>('''L'''<sub>0</sub>)
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! Y !! Z
 
! Y !! Z
 
|-
 
|-
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{| align="center" style="width:90%"
 
{| align="center" style="width:90%"
 
|
 
|
−
{| border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:90%"
+
{| border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:90%"
 
|+ proj<sub>''XY''</sub>('''L'''<sub>1</sub>)
 
|+ proj<sub>''XY''</sub>('''L'''<sub>1</sub>)
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! X !! Y
 
! X !! Y
 
|-
 
|-
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|}
 
|}
 
|
 
|
−
{| border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:90%"
+
{| border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:90%"
 
|+ proj<sub>''XZ''</sub>('''L'''<sub>1</sub>)
 
|+ proj<sub>''XZ''</sub>('''L'''<sub>1</sub>)
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! X !! Z
 
! X !! Z
 
|-
 
|-
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|}
 
|}
 
|
 
|
−
{| border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:90%"
+
{| border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:90%"
 
|+ proj<sub>''YZ''</sub>('''L'''<sub>1</sub>)
 
|+ proj<sub>''YZ''</sub>('''L'''<sub>1</sub>)
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! Y !! Z
 
! Y !! Z
 
|-
 
|-
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The 3-adic relations '''L'''<sub>A</sub> and '''L'''<sub>B</sub> are shown in the next two Tables:
 
The 3-adic relations '''L'''<sub>A</sub> and '''L'''<sub>B</sub> are shown in the next two Tables:
   −
{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:60%"
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:60%"
 
|+ '''L'''<sub>A</sub> = Sign Relation of Interpreter A
 
|+ '''L'''<sub>A</sub> = Sign Relation of Interpreter A
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! style="width:20%" | Object
 
! style="width:20%" | Object
 
! style="width:20%" | Sign
 
! style="width:20%" | Sign
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<br>
 
<br>
   −
{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:60%"
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:60%"
 
|+ '''L'''<sub>B</sub> = Sign Relation of Interpreter B
 
|+ '''L'''<sub>B</sub> = Sign Relation of Interpreter B
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! style="width:20%" | Object
 
! style="width:20%" | Object
 
! style="width:20%" | Sign
 
! style="width:20%" | Sign
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{| align="center" style="width:90%"
 
{| align="center" style="width:90%"
 
|
 
|
−
{| border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:90%"
+
{| border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:90%"
 
|+ proj<sub>''XY''</sub>('''L'''<sub>A</sub>)
 
|+ proj<sub>''XY''</sub>('''L'''<sub>A</sub>)
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! style="width:50%" | Object
 
! style="width:50%" | Object
 
! style="width:50%" | Sign
 
! style="width:50%" | Sign
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|}
 
|}
 
|
 
|
−
{| border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:90%"
+
{| border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:90%"
 
|+ proj<sub>''XZ''</sub>('''L'''<sub>A</sub>)
 
|+ proj<sub>''XZ''</sub>('''L'''<sub>A</sub>)
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! style="width:50%" | Object
 
! style="width:50%" | Object
 
! style="width:50%" | Interpretant
 
! style="width:50%" | Interpretant
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|}
 
|}
 
|
 
|
−
{| border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:90%"
+
{| border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:90%"
 
|+ proj<sub>''YZ''</sub>('''L'''<sub>A</sub>)
 
|+ proj<sub>''YZ''</sub>('''L'''<sub>A</sub>)
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! style="width:50%" | Sign
 
! style="width:50%" | Sign
 
! style="width:50%" | Interpretant
 
! style="width:50%" | Interpretant
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{| align="center" style="width:90%"
 
{| align="center" style="width:90%"
 
|
 
|
−
{| border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:90%"
+
{| border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:90%"
 
|+ proj<sub>''XY''</sub>('''L'''<sub>B</sub>)
 
|+ proj<sub>''XY''</sub>('''L'''<sub>B</sub>)
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! style="width:50%" | Object
 
! style="width:50%" | Object
 
! style="width:50%" | Sign
 
! style="width:50%" | Sign
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|}
 
|}
 
|
 
|
−
{| border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:90%"
+
{| border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:90%"
 
|+ proj<sub>''XZ''</sub>('''L'''<sub>B</sub>)
 
|+ proj<sub>''XZ''</sub>('''L'''<sub>B</sub>)
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! style="width:50%" | Object
 
! style="width:50%" | Object
 
! style="width:50%" | Interpretant
 
! style="width:50%" | Interpretant
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|}
 
|}
 
|
 
|
−
{| border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:90%"
+
{| border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:90%"
 
|+ proj<sub>''YZ''</sub>('''L'''<sub>B</sub>)
 
|+ proj<sub>''YZ''</sub>('''L'''<sub>B</sub>)
−
|- style="background:paleturquoise"
+
|- style="background:#e6e6ff"
 
! style="width:50%" | Sign
 
! style="width:50%" | Sign
 
! style="width:50%" | Interpretant
 
! style="width:50%" | Interpretant
Jon Awbrey
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