Partially Ordered Sets and Hasse Diagrams | Discrete Math

[@shayanzaidi2836]

Getting through discrete maths without a teacher is an absolute nightmare. I'm so glad I found your channel!!

[@Xorked]

Honestly the best math channel I've seen for Discrete Mathematics, great work

[@WrathofMath]

Thank you! Let me know if you have any requests!

[@anesp.a913]

Honestly You are a Lion in Discrete Mathematics... From Kerala,India .. Keep it up Sir

[@myronparaskevopoulos2341]

🎯 Key Takeaways for quick navigation: 00:27 📚 *A partially ordered set (poset) is defined by a relation that is reflexive, anti-symmetric, and transitive.* 02:48 🛠️ *The power set of a set, with the subset relation as the partial order, forms a poset.* 05:42 🔄 *Hasse diagrams visually represent posets without the need for arrows by ensuring a consistent direction of the relation.* 11:53 📈 *Maximal elements in a poset relate only to themselves and can be found at the tops of components in a Hasse diagram.* 13:24 📉 *Minimal elements in a poset relate only to themselves and can be found at the bottoms of components in a Hasse diagram.* Made with HARPA AI

[@AManWithaZ]

This video is a really great break-down on the fundamentals. PO sets and Hasse Diagrams have recently been on my mind because I've been trying to teach myself a subject involving filters and ultrafilters, and Hasse Diagrams are a great way to visualize them.

[@Eggtamaa]

man this 16 minute video covered so much. thank you and please continue making videos!

[@WrathofMath]

Thank you - will do!

[@jingyiwang5113]

I am really grateful for your patient and detailed explanation. This has helped me a lot as I am previewing for my discrete mathematics class for the coming fall semester. And I think that your videos are among the best discrete mathematics tutorial. I can watch your videos regularly as I proceed with my next semester as well. Thank you so much!

[@priya-fz5pj]

He is the best.. every time i have a doubt..there is never a chance it's not cleared by watching his videos..keep up the good work

[@WrathofMath]

Thank you so much 😀

[@ea1766]

This is my go to guy for discrete maths.

[@punditgi]

Nothing partial about the quality of this lesson!

[@djdanzo206]

😆

[@musicheals2263]

Thank you so much sir I was preparing for my entrance exam, and I got your video which was very easy to understand

[@WrathofMath]

Glad it helped, good luck!

[@alexandrosvardakostas6270]

Thanks!

[@WrathofMath]

Glad to help, thanks so much!

[@EliStettner]

8:00 literally saved me.

[@joanofarc108]

Thank you so much! Clear and informative!

[@WrathofMath]

Glad to hear it, thank you for watching!

[@Leo-ng7lq]

I dont even speak english that well, and yet i could understand every single thing. Thanks!!

[@WrathofMath]

Awesome, thanks for watching!

[@DrunkenJanitor]

Great Video Helped out a lot, Thankyou!

[@AC-vp8fb]

Very helpful thank you good sir

[@the.graduate]

You earned one more suscription by this vid!❤ love you to deaaaaaaath

[@WrathofMath]

Thank you! ❤

[@the.graduate]

@WrathofMath Hey, can I ask you a question?! When you say (A, R) is a POset, how do you read (A, R)? I mean, what these symbols ( , ) represent here? Does it mean that A has an R relation in its elements?

[@WrathofMath]

That's correct, in general (A,R) is fairly ambiguous notation and can mean a lot of things, but in context we understand (A,R) is the set A with the partial order relation R on it.

[@the.graduate]

@@WrathofMath THANK YOU SOOOOO MUCHHHHH😭😭😭😭😭😭💓💓

[@Liichess02]

thanks so much exam is some min away thanks

[@roblox21242]

Do you have a course playlist for Discrete Math?

[@ruixiaozheng]

amazing video!!!!!!!!

[@seven1856-r1z]

Is the "maximun" and "minimum" the same as "upper bound" and "lower bound" respectively?

[@rtxa]

Very nice video but I miss that you didn't talk about upper and lower bound :(

[@WrathofMath]

Thank you - I definitely still have lots more videos to make about Hasse Diagrams and other discrete math stuff!

[@nadred5396]

this guy is literally jesus himself re-incarnated as the math god , all hail Shawn

[@wednesdayaddams718]

😴Slept literally after knowing this

[@mrboyban]

bang bang on on