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Directory talk:Jon Awbrey/Papers/Differential Propositional Calculus (view source)

Revision as of 01:24, 1 June 2008

4,447 bytes added ,  01:24, 1 June 2008
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</pre>
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{| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%"
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|+ '''Table 5.  <math>\operatorname{E}f</math> Expanded Over Differential Features <math>\{ \operatorname{d}x, \operatorname{d}y \}</math>'''
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|- style="background:ghostwhite; height:48px"
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| &nbsp;
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| <math>f\!</math>
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|
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{| align="center"
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|-
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| <math>\operatorname{T}_{11}f</math>
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|-
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| <math>\operatorname{E}f|_{\operatorname{d}x\ \operatorname{d}y}</math>
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|}
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|
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{| align="center"
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|-
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| <math>\operatorname{T}_{10}f</math>
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|-
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| <math>\operatorname{E}f|_{\operatorname{d}x(\operatorname{d}y)}</math>
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|}
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|
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{| align="center"
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|-
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| <math>\operatorname{T}_{01}f</math>
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|-
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| <math>\operatorname{E}f|_{(\operatorname{d}x)\operatorname{d}y}</math>
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|}
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|
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{| align="center"
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|-
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| <math>\operatorname{T}_{00}f</math>
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|-
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| <math>\operatorname{E}f|_{(\operatorname{d}x)(\operatorname{d}y)}</math>
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|}
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|- style="height:36px"
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| <math>f_{0}\!</math>
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| <math>(~)\!</math>
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| <math>(~)\!</math>
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| <math>(~)\!</math>
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| <math>(~)\!</math>
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| <math>(~)\!</math>
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|-
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|
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{| align="center"
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|-
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| height="36px" | <math>f_{1}\!</math>
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|-
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| height="36px" | <math>f_{2}\!</math>
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|-
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| height="36px" | <math>f_{4}\!</math>
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|-
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| height="36px" | <math>f_{8}\!</math>
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|}
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|
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{| align="center"
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|-
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| height="36px" | <math>(x)(y)\!</math>
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|-
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| height="36px" | <math>(x)\ y\!</math>
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|-
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| height="36px" | <math>x\ (y)\!</math>
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|-
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| height="36px" | <math>x\ y\!</math>
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|-
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|
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{| align="center"
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|-
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| height="36px" | <math>f_{3}\!</math>
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|-
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| height="36px" | <math>f_{12}\!</math>
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|}
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|
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{| align="center"
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|-
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| height="36px" | <math>(x)\!</math>
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|-
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| height="36px" | <math>x\!</math>
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|-
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|
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{| align="center"
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|-
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| height="36px" | <math>f_{6}\!</math>
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|-
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| height="36px" | <math>f_{9}\!</math>
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|}
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|
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{| align="center"
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|-
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| height="36px" | <math>(x,\ y)\!</math>
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|-
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| height="36px" | <math>((x,\ y))\!</math>
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|-
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|
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{| align="center"
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|-
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| height="36px" | <math>f_{5}\!</math>
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|-
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| height="36px" | <math>f_{10}\!</math>
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|}
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|
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{| align="center"
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|-
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| height="36px" | <math>(y)\!</math>
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|-
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| height="36px" | <math>y\!</math>
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|-
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|
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{| align="center"
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|-
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| height="36px" | <math>f_{7}\!</math>
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|-
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| height="36px" | <math>f_{11}\!</math>
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|-
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| height="36px" | <math>f_{13}\!</math>
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|-
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| height="36px" | <math>f_{14}\!</math>
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|}
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|
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{| align="center"
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|-
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| height="36px" | <math>(x\ y)\!</math>
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|-
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| height="36px" | <math>(x\ (y))\!</math>
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|-
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| height="36px" | <math>((x)\ y)\!</math>
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|-
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| height="36px" | <math>((x)(y))\!</math>
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|
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{| align="center"
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|-
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| height="36px" |
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|}
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|- style="height:36px"
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| <math>f_{15}\!</math>
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| <math>((~))\!</math>
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| <math>((~))\!</math>
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| <math>((~))\!</math>
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| <math>((~))\!</math>
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| <math>((~))\!</math>
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|- style="background:ghostwhite; height:36px"
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| colspan="2" | Fixed Point Total :
 +
| <math>4\!</math>
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| <math>4\!</math>
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| <math>4\!</math>
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| <math>16\!</math>
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|}
 +
<br>
    
===Table 6===
 
===Table 6===
Jon Awbrey
12,080

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