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Magazine Problem 5
Determine if each is a partial order on \(\\{a, b, c\\}\). $$\\{(a, a),(b, b),(c, c)\\}$$
Problem 5
Find the transitive closure of each relation on \(A=\\{a, b, c, d\\}.\) $$\\{(a, a),(a, b)\\}$$
Problem 5
Using the boolean matrices $$ A=\left[\begin{array}{ll} 1 & 1 \\ 0 & 0 \end{array}\right], B=\left[\begin{array}{ll} 0 & 1 \\ 1 & 0 \end{array}\right], \text { and } C=\left[\begin{array}{ll} 0 & 0 \\ 1 & 0 \end{array}\right] $$ find each. $$A \vee(B \vee C)$$
Problem 5
Using the boolean matrices $$A=\left[\begin{array}{ll}{1} & {1} \\ {0} & {0}\end{array}\right], B=\left[\begin{array}{ll}{0} & {1} \\ {1} & {0}\end{array}\right],$$ and $$C=\left[\begin{array}{ll}{0} & {0} \\ {1} & {0}\end{array}\right]$$ find each. $$A \vee(B \vee C)$$
Problem 6
Using the relations \(R=\\{(a, a),(a, b),(b, c),(c, c)\\}\) and \(S=\\{(a, a),(b, b),(b, c)\) \((c, a)\\}\) on \(\\{a, b, c\\},\) find each. $$R \odot S$$
Problem 6
Find the connectivity relation of each relation on \(\\{a, b, c\\}.\) $$\\{(a, b),(a, c),(b, a),(c, a)\\}$$
Problem 6
Find the transitive closure of each relation on \(A=\\{a, b, c, d\\}.\) $$\\{(a, b),(b, c),(c, a)\\}$$
Problem 6
Determine if each is an equivalence relation on \(\\{a, b, c\\}.\) $$\\{(a, a),(b, b),(c, c)\\}$$
Problem 6
Using the relations \(R=\\{(a, a),(a, b),(b, c)\\}\) and \(S=\\{(a, a),(b, b),(b, c),\) \((c, a) \\}\) on \(\\{a, b, c\\},\) find each. $$R \odot S$$
Problem 6
Using the boolean matrices $$ A=\left[\begin{array}{ll} 1 & 1 \\ 0 & 0 \end{array}\right], B=\left[\begin{array}{ll} 0 & 1 \\ 1 & 0 \end{array}\right], \text { and } C=\left[\begin{array}{ll} 0 & 0 \\ 1 & 0 \end{array}\right] $$ find each. $$A \wedge(B \wedge C)$$
