Get Discrete Mathematics for Computer Scientists PDF

By Cliff L Stein, Robert Drysdale, Kenneth Bogart

ISBN-10: 0132122715

ISBN-13: 9780132122719

Stein/Drysdale/Bogart's Discrete arithmetic for laptop Scientists is perfect for desktop technology scholars taking the discrete math direction. Written in particular for computing device technological know-how scholars, this distinctive textbook at once addresses their wishes through supplying a starting place in discrete math whereas utilizing motivating, proper CS purposes. this article takes an active-learning technique the place actions are provided as routines and the cloth is then fleshed out via factors and extensions of the workouts.

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Example text

Therefore, the program carries out rmn multiplications. 1-3 shows us that thinking about whether the sum or product principle is appropriate for a problem can help decompose the problem into easily solvable pieces. If we can decompose the problem into smaller pieces and solve the smaller pieces, then we may be able to either add or multiply solutions to smaller problems in order to solve the larger problem. In this exercise, the number of comparisons in the program fragment is the sum of the number of comparisons in the first loop (Lines 1–8) and the number of comparisons in the second loop (Lines 10–12).

Set. A set is a collection of objects. In a set, order is not important. Thus, the set {A, B, C} is the same as the set {A, C, B}. An element either is or is not in a set; it cannot be in a set more than once, even if a description of a set names that element more than once. 2. Disjoint. Two sets are disjoint if they have no elements in common. 3. Mutually disjoint sets. A set of sets {S1 , . . , Sn } is a family of mutually disjoint sets if each two of the sets Si are disjoint. 4. Size of a set.

1 Using this notation, we can state the sum principle as follows. If S1 , S2 , . . , Sm are disjoint sets, then |S1 ∪ S2 ∪ · · · ∪ Sm | = |S1 | + |S2 | + · · · + |Sm |. 2). ” m m Si = i=1 |Si |. i=1 When we can write a set S as a union of disjoint sets S1 , S2 , . . , Sk , we say that we have partitioned S into the sets S1 , S2 , . . , Sk and that the sets S1 , It may look strange to have |{a, b, a}| = 2, but an element either is or is not in a set. An element cannot be in a set multiple times.

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Discrete Mathematics for Computer Scientists by Cliff L Stein, Robert Drysdale, Kenneth Bogart

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