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User:Jon Awbrey/SCRATCHPAD (view source)
Revision as of 15:02, 13 February 2009
, 15:02, 13 February 2009→Evaluation Rule 1
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{| align="center" cellpadding="0" cellspacing="0" width="100%"
{| align="center" cellpadding="0" cellspacing="0" width="100%"
|- style="height:40px; text-align:right"
|- style="height:50px; text-align:right"
| width="98%" | <math>\text{Evaluation Rule 1}\!</math>
| width="98%" | <math>\operatorname{Evaluation~Rule~1}</math>
| width="2%" |
| width="2%" |
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{| align="center" cellpadding="0" cellspacing="0" width="100%"
{| align="center" cellpadding="0" cellspacing="0" width="100%"
|- style="height:40px"
|- style="height:50px"
| width="2%" style="border-top:1px solid black" |
| width="2%" style="border-top:1px solid black" |
| width="14%" style="border-top:1px solid black" | <math>\text{If}\!</math>
| width="14%" style="border-top:1px solid black" | <math>\text{If}\!</math>
| width="84%" style="border-top:1px solid black" | <math>f, g ~:~ X \to \underline\mathbb{B}</math>
| width="84%" style="border-top:1px solid black" | <math>f, g ~:~ X \to \underline\mathbb{B}</math>
|- style="height:40px"
|- style="height:50px"
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| <math>\text{and}\!</math>
| <math>\text{and}\!</math>
| <math>x ~\in~ X</math>
| <math>x ~\in~ X</math>
|- style="height:40px"
|- style="height:50px"
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| <math>\text{then}\!</math>
| <math>\text{then}\!</math>
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{| align="center" cellpadding="0" cellspacing="0" width="100%"
{| align="center" cellpadding="0" cellspacing="0" width="100%"
|- style="height:10px"
| width="2%" style="border-top:1px solid black" |
| width="14%" style="border-top:1px solid black" |
| width="64%" style="border-top:1px solid black" |
| width="20%" style="border-top:1px solid black; border-left:1px solid black" |
|- style="height:40px"
|- style="height:40px"
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| <math>\operatorname{E1a.}</math>
| <math>f(x) ~=~ g(x)</math>
| width="20%" style="border-top:1px solid black; border-left:1px solid black; text-align:center" | <math>\operatorname{E1a~:~V1a}</math>
| style="border-left:1px solid black; text-align:center" | <math>\operatorname{E1a~:~V1a}</math>
|- style="height:20px"
|- style="height:20px"
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| colspan="3" |
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| style="border-left:1px solid black; text-align:center" | <math>::\!</math>
| style="border-left:1px solid black; text-align:center" | <math>::\!</math>
|- style="height:40px"
|- style="height:40px"
| style="border-left:1px solid black; text-align:center" | <math>\operatorname{E1b~:~V1b}</math>
| style="border-left:1px solid black; text-align:center" | <math>\operatorname{E1b~:~V1b}</math>
|- style="height:20px"
|- style="height:20px"
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| colspan="3" |
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| style="border-left:1px solid black; text-align:center" | <math>::\!</math>
| style="border-left:1px solid black; text-align:center" | <math>::\!</math>
|- style="height:60px"
|- style="height:60px"
<p><math>\operatorname{E1c~:~$1a}</math></p>
<p><math>\operatorname{E1c~:~$1a}</math></p>
|- style="height:20px"
|- style="height:20px"
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| colspan="3" |
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| style="border-left:1px solid black; text-align:center" | <math>::\!</math>
| style="border-left:1px solid black; text-align:center" | <math>::\!</math>
|- style="height:40px"
|- style="height:40px"
| <math>\underline{((}~ f ~,~ g ~\underline{))}^\$ (x)</math>
| <math>\underline{((}~ f ~,~ g ~\underline{))}^\$ (x)</math>
| style="border-left:1px solid black; text-align:center" | <math>\operatorname{E1d~:~$1b}</math>
| style="border-left:1px solid black; text-align:center" | <math>\operatorname{E1d~:~$1b}</math>
|- style="height:10px"
| colspan="3" |
| style="border-left:1px solid black" |
|}
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