Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Question
For any \([x] \in \mathbb{Z}/n\) and any \(k \in \mathbb{Z}\), we can define \(k[x]\) by

\[ k[x] = [x] + [x] + \cdots + [x] \]

\(k\) times

where the result is an element of \(\mathbb{Z}/n\). We say \(k[x]\) is a multiple of \([x]\).

(a) List all the multiples of \([3]\) in \(\mathbb{Z}/9\). (Select all that apply.)
- [ ] [0]
- [ ] [1]
- [ ] [2]
- [ ] [3]
- [ ] [4]
- [ ] [5]
- [ ] [6]
- [ ] [7]
- [ ] [8]

(b) List all the multiples of \([3]\) in \(\mathbb{Z}/8\). (Select all that apply.)
- [ ] [0]
- [ ] [1]
- [ ] [2]
- [ ] [3]
- [ ] [4]
- [ ] [5]
- [ ] [6]
- [ ] [7]
expand button
Transcribed Image Text:For any \([x] \in \mathbb{Z}/n\) and any \(k \in \mathbb{Z}\), we can define \(k[x]\) by \[ k[x] = [x] + [x] + \cdots + [x] \] \(k\) times where the result is an element of \(\mathbb{Z}/n\). We say \(k[x]\) is a multiple of \([x]\). (a) List all the multiples of \([3]\) in \(\mathbb{Z}/9\). (Select all that apply.) - [ ] [0] - [ ] [1] - [ ] [2] - [ ] [3] - [ ] [4] - [ ] [5] - [ ] [6] - [ ] [7] - [ ] [8] (b) List all the multiples of \([3]\) in \(\mathbb{Z}/8\). (Select all that apply.) - [ ] [0] - [ ] [1] - [ ] [2] - [ ] [3] - [ ] [4] - [ ] [5] - [ ] [6] - [ ] [7]
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Computer Science
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
Database System Concepts
Computer Science
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:McGraw-Hill Education
Text book image
Starting Out with Python (4th Edition)
Computer Science
ISBN:9780134444321
Author:Tony Gaddis
Publisher:PEARSON
Text book image
Digital Fundamentals (11th Edition)
Computer Science
ISBN:9780132737968
Author:Thomas L. Floyd
Publisher:PEARSON
Text book image
C How to Program (8th Edition)
Computer Science
ISBN:9780133976892
Author:Paul J. Deitel, Harvey Deitel
Publisher:PEARSON
Text book image
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781337627900
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
Text book image
Programmable Logic Controllers
Computer Science
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education