ICS6B_Q2 - Quiz 2 Solutions Which relations are(1...

• Test Prep
• 15

This preview shows pages 1–15. Sign up to view the full content.

Quiz ° Solutions

This preview has intentionally blurred sections. Sign up to view the full version.

Which relations are ±²³ reflexive´ ±°³ symmetric´ ±µ³ antisymmetric´ ±¶³ transitive %
² Domain: {w,x,y,z} R: {(w,w),(w,x),(x,w),(x,x),(x,z),(y,y),(z,y),(z,z)} (w,w),(x,x),(y,y),(z,z) in R, so is reflexive. (x,z) in R, (z,x) not in R, so not symmetric. (w,x),(x,z) in R, (w,z) not in R so not transitive. (w,x),(x,w),(w,w) in R, w != x so not antisym.

This preview has intentionally blurred sections. Sign up to view the full version.

° Domain: Z (integers) Relation: aRb if |a-b| <= 1 reflexive and symmetric not antisymmetric, not transitive.
µ Domain: Z (integers) Relation: aRb if a^2 = b^2 reflexive, symmetric, transitive not antisymmetric.

This preview has intentionally blurred sections. Sign up to view the full version.

Domain: Set of all people. R: {(a,b) | a.height >= b.height} reflexive and transitive not symmetric and not antisymmetric
M= 1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 1 Diagonal so is reflexive, is not 'mirrored' by diagonal so not reflexive. Is, 'reverse mirrored' by diagonal so is antisymmetric, is transitive can be determined by testing <explain>.

This preview has intentionally blurred sections. Sign up to view the full version.

This preview has intentionally blurred sections. Sign up to view the full version.

This preview has intentionally blurred sections. Sign up to view the full version.

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.
• Spring '16
• Guillaume Dreyer
• Statistics, Transitive relation, Symmetric relation, Transitive closure, 5 m

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern