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Chapter 9: Relations

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Discrete Mathematics and its Applications
Pages: 573 - 635
Discrete Mathematics and its Applications

Discrete Mathematics and its Applications

Book edition 7th
Author(s) Kenneth H. Rosen
Pages 808 pages
ISBN 9780073383095

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Illustration

290 Questions for Chapter 9: Relations

  1. In Exercises 9–11 determine whether the relation with the given directed graph is a partial order.

    Found on Page 630

  2. An example of a relation on a set that is neither symmetric and anti symmetric.

    Found on Page 581

  3. To determine

    Found on Page 596

  4. What do you obtain when you apply the selection operator \({s_C}\), where\(C\)is the condition Room \( = {\rm{A}}100\)to the table 7?

    Found on Page 590

  5. To prove there is a function \(f\) with A as its domain such that \((x,y)\) ? \(R\) if and only if \(f(x) = f(y)\).

    Found on Page 615

  6. Find the smallest relation containing the relation in Example 2 that is both reflexive and symmetric.

    Found on Page 606

  7. To calculate the matrix \(\bar R\), representing the complement of the relation \(R\), whose matrix is \(R\).

    Found on Page 596

  8. Which relations in Exercise 3 are irreflexive?

    Found on Page 581

  9. What do you obtain when you apply the selection operator \({s_C}\), where \(C\) is the condition Destination = Detroit, to the database in Table 8?

    Found on Page 590

  10. Show that the relation \({\rm{R}}\) consisting of all pairs \((x,y)\) such that \(x\) and \(y\) are bit strings of length three or more that agree in their first three bits is an equivalence relation on the set of all bit strings of length three or more.

    Found on Page 615

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