Chapter 9: Q2E (page 581)
To determine the relation in tabular form, as was done in example 4.
The relation is displayed in tabular form.
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To prove that the relation \(R\) on set \(A\) is anti-symmetric, if and only if \(R \cap {R^{ - 1}}\) is a subset of the diagonal relation \(\Delta = \{ (a,a)\mid a \in A\} \)
Let \(R\) the relation \(\{ (1,2),(1,3),(2,3),(2,4),(3,1)\} \) and \(S\) be the relation \(\{ (2,1),(3,1),(3,2),(4,2)\} \). Find \(S \circ R\).
Draw the Hasse diagram for the greater than or equal to relation on \(\{ 0,1,2,3,4,5\} \).
Find the lexicographic ordering of the bit strings 0, 01, 11, 001, 010, 011, 0001, and 0101 based on the ordering \(0 < 1\).
Which projection mapping is used to delete the first, second, and fourth components of a 6-tuple?
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