Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
1. In the diagram below, there are 9 points and 8 lines: (a) Let be the relation between the points in the diagram, where AB if one of the 8 lines passes through both A and B. Explain why is not an equivalence relation. (b) Let o be the relation between the lines in the diagram, where l₁ ol2 if either l1=l₂ or else 1 and 2 have no points in common. This is an equivalence relation! Find the equivalence classes of o.

1. In the diagram below, there are 9 points and 8 lines: (a) Let be the relation between the points in the diagram, where AB if one of the 8 lines passes through both A and B. Explain why is not an equivalence relation. (b) Let o be the relation between the lines in the diagram, where l₁ ol2 if either l1=l₂ or else 1 and 2 have no points in common. This is an equivalence relation! Find the equivalence classes of o.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
1. In the diagram below, there are 9 points and 8 lines: (a) Let be the relation between the points in the diagram, where A + B if one of the 8 lines passes through both A and B. Explain why is not an equivalence relation. (b) Let o be the relation between the lines in the diagram, where l10 l2 if either l₁ = 12 or else 1 and 2 have no points in common. This is an equivalence relation! Find the equivalence classes of o.
Transcribed Image Text:1. In the diagram below, there are 9 points and 8 lines: (a) Let be the relation between the points in the diagram, where A + B if one of the 8 lines passes through both A and B. Explain why is not an equivalence relation. (b) Let o be the relation between the lines in the diagram, where l10 l2 if either l₁ = 12 or else 1 and 2 have no points in common. This is an equivalence relation! Find the equivalence classes of o.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS