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User:Jon Awbrey/SCRATCHPAD (view source)

Revision as of 17:40, 26 January 2009

431 bytes removed ,  17:40, 26 January 2009
→‎Equation Sequences : New Versions
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==Equation Sequences : New Versions==
 
==Equation Sequences : New Versions==
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{| align="center" cellpadding="4" style="text-align:left" width="90%"
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{| align="center" cellpadding="8" width="90%"
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|  
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|
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|-
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<math>\begin{array}{lll}
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| <math>[| \downharpoonleft s \downharpoonright |]</math>
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[| \downharpoonleft s \downharpoonright |]
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| <math>=\!</math>
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& = & [| F |]
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| <math>[| F |]\!</math>
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\\[6pt]
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|-
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& = & F^{-1} (\underline{1})
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| &nbsp;
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\\[6pt]
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| <math>=\!</math>
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& = & \{~ (x, y) \in \underline\mathbb{B}^2 ~:~ s ~\}
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| <math>F^{-1} (\underline{1})</math>
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\\[6pt]
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|-
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& = & \{~ (x, y) \in \underline\mathbb{B}^2 ~:~ F(x, y) = \underline{1} ~\}
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| &nbsp;
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\\[6pt]
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| <math>=\!</math>
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& = & \{~ (x, y) \in \underline\mathbb{B}^2 ~:~ F(x, y) ~\}
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| <math>\{~ (x, y) \in \underline\mathbb{B}^2 ~:~ s ~\}</math>
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\\[6pt]
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|-
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& = & \{~ (x, y) \in \underline\mathbb{B}^2 ~:~ \underline{(}~x~,~y~\underline{)} = \underline{1} ~\}
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| &nbsp;
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\\[6pt]
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| <math>=\!</math>
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& = & \{~ (x, y) \in \underline\mathbb{B}^2 ~:~ \underline{(}~x~,~y~\underline{)} ~\}
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| <math>\{~ (x, y) \in \underline\mathbb{B}^2 ~:~ F(x, y) = \underline{1} ~\}</math>
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\\[6pt]
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|-
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& = & \{~ (x, y) \in \underline\mathbb{B}^2 ~:~ x ~\operatorname{exclusive~or}~ y ~\}
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| &nbsp;
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\\[6pt]
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| <math>=\!</math>
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& = & \{~ (x, y) \in \underline\mathbb{B}^2 ~:~ \operatorname{just~one~true~of}~ x, y ~\}
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| <math>\{~ (x, y) \in \underline\mathbb{B}^2 ~:~ F(x, y) ~\}</math>
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\\[6pt]
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|-
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& = & \{~ (x, y) \in \underline\mathbb{B}^2 ~:~ x ~\operatorname{not~equal~to}~ y ~\}
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| &nbsp;
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\\[6pt]
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| <math>=\!</math>
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& = & \{~ (x, y) \in \underline\mathbb{B}^2 ~:~ x \nLeftrightarrow y ~\}
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| <math>\{~ (x, y) \in \underline\mathbb{B}^2 ~:~ \underline{(}~x~,~y~\underline{)} = \underline{1} ~\}</math>
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\\[6pt]
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|-
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& = & \{~ (x, y) \in \underline\mathbb{B}^2 ~:~ x \neq y ~\}
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| &nbsp;
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\\[6pt]
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| <math>=\!</math>
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& = & \{~ (x, y) \in \underline\mathbb{B}^2 ~:~ x + y ~\}.
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| <math>\{~ (x, y) \in \underline\mathbb{B}^2 ~:~ \underline{(}~x~,~y~\underline{)} ~\}</math>
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\end{array}</math>
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|-
  −
| &nbsp;
  −
| <math>=\!</math>
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| <math>\{~ (x, y) \in \underline\mathbb{B}^2 ~:~ x ~\operatorname{exclusive~or}~ y ~\}</math>
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|-
  −
| &nbsp;
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| <math>=\!</math>
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| <math>\{~ (x, y) \in \underline\mathbb{B}^2 ~:~ \operatorname{just~one~true~of}~ x, y ~\}</math>
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|-
  −
| &nbsp;
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| <math>=\!</math>
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| <math>\{~ (x, y) \in \underline\mathbb{B}^2 ~:~ x ~\operatorname{not~equal~to}~ y ~\}</math>
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|-
  −
| &nbsp;
  −
| <math>=\!</math>
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| <math>\{~ (x, y) \in \underline\mathbb{B}^2 ~:~ x \nLeftrightarrow y ~\}</math>
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|-
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| &nbsp;
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| <math>=\!</math>
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| <math>\{~ (x, y) \in \underline\mathbb{B}^2 ~:~ x \neq y ~\}</math>
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|-
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| &nbsp;
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| <math>=\!</math>
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| <math>\{~ (x, y) \in \underline\mathbb{B}^2 ~:~ x + y ~\}.</math>
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|-
  −
| &nbsp;
   
|}
 
|}
  
Jon Awbrey
12,089

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