For the following problem, we will use string notation. If A is a set of symbols or characters, the elements of A" can be written without the usual punctuation (parentheses and commas) used for ordered n-tuples. For example, if A = {x, y), the set A² would be {xx, xy, yx, yy}. The sequence of characters is called a string. NOTE: you will use this a lot in the next theory class, CS 301. a Given A = {u}, B = {i, c}, and C = {u,i,!}, find the result of the set expression: AUBUC. b Find the result of the set expression: A × (BUC) c Fill in the blank of a triple Cartesian product that makes the following statement true: uic € (Xx Y × Z)? HINT: Your answer should be a triple Cartesian product with combination of A, B, and/or C. There are four ways to write this, please include at least two of the different ways in your answer. d Find the result of the set expression: P(A x B) e Find U B; and f Find UA; and ₁ B; where B₁ = {iº, i², i²)} for all positive integers i. ₁₁A; where A₁ = {...,-4,-2i, 0,2i, 4i,...} for all positive integers i.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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For the following problem, we will use string notation. If A is a set of symbols or characters, the elements of
A" can be written without the usual punctuation (parentheses and commas) used for ordered n-tuples. For
example, if A = {x, y), the set A² would be {xx, xy, yx, yy}. The sequence of characters is called a string.
NOTE: you will use this a lot in the next theory class, CS 301.
a Given A = {u}, B = {i, c}, and C = {u,i,!}, find the result of the set expression: AUBUC.
b Find the result of the set expression: A × (BUC)
c Fill in the blank of a triple Cartesian product that makes the following statement true: uic € (Xx
Y × Z)? HINT: Your answer should be a triple Cartesian product with combination of A, B, and/or
C. There are four ways to write this, please include at least two of the different ways in your answer.
d Find the result of the set expression: P(A x B)
e Find U B; and
f Find UA; and
₁ B; where B₁ = {iº, i², i²)} for all positive integers i.
₁₁A; where A₁ = {...,-4,-2i, 0,2i, 4i,...} for all positive integers i.
Transcribed Image Text:For the following problem, we will use string notation. If A is a set of symbols or characters, the elements of A" can be written without the usual punctuation (parentheses and commas) used for ordered n-tuples. For example, if A = {x, y), the set A² would be {xx, xy, yx, yy}. The sequence of characters is called a string. NOTE: you will use this a lot in the next theory class, CS 301. a Given A = {u}, B = {i, c}, and C = {u,i,!}, find the result of the set expression: AUBUC. b Find the result of the set expression: A × (BUC) c Fill in the blank of a triple Cartesian product that makes the following statement true: uic € (Xx Y × Z)? HINT: Your answer should be a triple Cartesian product with combination of A, B, and/or C. There are four ways to write this, please include at least two of the different ways in your answer. d Find the result of the set expression: P(A x B) e Find U B; and f Find UA; and ₁ B; where B₁ = {iº, i², i²)} for all positive integers i. ₁₁A; where A₁ = {...,-4,-2i, 0,2i, 4i,...} for all positive integers i.
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