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cs-401r:set-theory-identities [2014/09/09 14:52]
ringger
cs-401r:set-theory-identities [2014/09/09 21:00]
ringger [Other Useful Identities]
Line 1: Line 1:
 += Set Theory Identities =
 \begin{align} \begin{align}
 A \cup  \overline{A} & = & \Omega ​ \qquad & \mbox{Complementation law}\\ A \cup  \overline{A} & = & \Omega ​ \qquad & \mbox{Complementation law}\\
Line 24: Line 25:
 \begin{align} \begin{align}
 B - A \equiv B \cap \overline{A} \qquad & \mbox{Definition of set difference} \\ B - A \equiv B \cap \overline{A} \qquad & \mbox{Definition of set difference} \\
-\left(R \cap S\right) \cup \left(R \cap \overline{S}\right) ​\equiv ​R+\left(R \cap S\right) \cup \left(R \cap \overline{S}\right) ​R
 \end{align} \end{align}
  
cs-401r/set-theory-identities.txt ยท Last modified: 2014/10/06 07:08 by ringger
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