PARTIAL ORDERS - DISCRETE MATHEMATICS

In this video we discuss partial orders and Hasse Diagrams.

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*--Recommended Textbooks--*

We introduce the concept of asymmetry and partial orders.
Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.

[khaledb]

It's 4 am rn, and I have an exam at 10, wish me luck

[Xiorth_YT]

Have my discrete math exam tomorrow morning. Just wanted to say thanks for the videos, they've been great!!

[anonInDE]

You have such a great channel man! I'm studying computer Science and our math prof. does nothing except read out definitions and write them on the board all lecture long... You're really helping me understand what we're actually learning! Cheers man!

[ShanaAngliang]

I like how you mentioned that Hasse Diagrams are used to make relation diagrams clearer, this video has cleared some of my doubts about PO, thank you so much!

[grigoryshepelev]

I've found this video after I had some struggle with understanding "How to prove it" book, which opened a world of beautifull set theory for me.
Thank you for those.

[MrGreyScreen]

You're a better teacher than my lecturer.

[DanielDupriest]

This is one topic I think I never really figured out from my CS classes. Thank you for the clear and concise explanation!

[adrianalexisoscar]

it's easier if you explain transitive inequalities this way

2<4
and 4<5
then 2<5

because 2<4<5

even if it is equal
if x<=y
and y<=z
then x<=z

because x<=y<=z

[tinysosig]

12:46 Trevor you said "We know in a partial order, everything is going to be symmetric", but I think you meant antisymmetric? Correct me if I'm wrong, wanna make sure I'm understanding this correctly.

[eduardorivera]

Thanks for this. Definitely will start binging on these lectures from now on! I love that you explain what each concept means as you introduce them. My professor just mentions them and sort of expects us to know what it means. If it wasn't for this video, I wouldn't have known to have NOT thought of antisymmetry as "not symmetric". No wonder I was confused the entire lecture. Granted, I could have asked out loud, but our class is very quiet. It seems this course is particularly a very intimidating one.

[jayantabiswas]

sir, if u give more video with example of how to find maximal and minimal number n also for greatest nd least elements, it will b helpful

thax for giving this video

[MohammedAlAli]

Thanks Trevor. This is helpful for my Advanced Graph Theory class. We are talking about Comparability Graphs as well as partial order and transitive orientation.

[sfbteby]

hey @TheTrevTutor, you are a god send for your discrete math lessons! you are really doing a good thing here, really helpful for students with crappy lecturers

[stelpveri]

Thanks for explaining why the diagram looks the way it does

[JamesBrodski]

Amazing video. Thank you so much. I will pass my exam because of you.

[davidjohnson-mysr]

3:31: the equivalence class of a is {a, b} by reflexivity.

[bkevinF]

Hi @TheTrevTutor, thank you for this one. It makes more sense to answer my modules. And also, do you have something that discuss Operations on Relations? Like Complement of a relations, inverse of a relation, composite product, R restricted to X and Image of x under R.

[GoreDough]

my dawg Trev killin it on the teaching game, thx bruh

[D.]

Clean, perfect explantation. You helped a lot! Thanks!

[adiletdaniyarov]

THe only good discrete math teacher for the whole of the planet