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Partially Ordered Sets and Hasse Diagrams | Discrete Math 

Wrath of Math
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We cover posets (partially ordered sets) and Hasse diagrams that represent them. We'll see examples of sets with partial orders on them, beginning with a power set and the subset relation. Partial orders are reflexive, transitive, and antisymmetric, which we discuss with examples. We also cover the construction of Hasse diagrams, as well as minimal, maximal, minimum, and maximum elements of a partially ordered set. #discretemathematics
Lesson on Hasse Diagrams: • Hasse Diagrams for Par...
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5 ноя 2022

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Комментарии : 37   
@shayanzaidi2836
@shayanzaidi2836 4 месяца назад
Getting through discrete maths without a teacher is an absolute nightmare. I'm so glad I found your channel!!
@Xorked
@Xorked Год назад
Honestly the best math channel I've seen for Discrete Mathematics, great work
@WrathofMath
@WrathofMath Год назад
Thank you! Let me know if you have any requests!
@AManWithaZ
@AManWithaZ Год назад
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.
@jingyiwang5113
@jingyiwang5113 11 месяцев назад
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!
@Eggtamaa
@Eggtamaa 8 месяцев назад
man this 16 minute video covered so much. thank you and please continue making videos!
@WrathofMath
@WrathofMath 8 месяцев назад
Thank you - will do!
@ea1766
@ea1766 Год назад
This is my go to guy for discrete maths.
@punditgi
@punditgi Год назад
Nothing partial about the quality of this lesson!
@djdanzo206
@djdanzo206 Месяц назад
😆
@DrunkenJanitor
@DrunkenJanitor Месяц назад
Great Video Helped out a lot, Thankyou!
@joanofarc108
@joanofarc108 Год назад
Thank you so much! Clear and informative!
@WrathofMath
@WrathofMath Год назад
Glad to hear it, thank you for watching!
@Leo-ng7lq
@Leo-ng7lq 18 дней назад
I dont even speak english that well, and yet i could understand every single thing. Thanks!!
@WrathofMath
@WrathofMath 18 дней назад
Awesome, thanks for watching!
@priya-fz5pj
@priya-fz5pj 8 месяцев назад
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
@WrathofMath 8 месяцев назад
Thank you so much 😀
@roblox21242
@roblox21242 9 месяцев назад
Do you have a course playlist for Discrete Math?
@musicheals2263
@musicheals2263 2 месяца назад
Thank you so much sir I was preparing for my entrance exam, and I got your video which was very easy to understand
@WrathofMath
@WrathofMath 2 месяца назад
Glad it helped, good luck!
@ruixiaozheng
@ruixiaozheng 6 месяцев назад
amazing video!!!!!!!!
@AC-vp8fb
@AC-vp8fb 4 дня назад
Very helpful thank you good sir
@promisingnotes8597
@promisingnotes8597 5 месяцев назад
Is the "maximun" and "minimum" the same as "upper bound" and "lower bound" respectively?
@hiklnh
@hiklnh 3 месяца назад
thanks so much exam is some min away thanks
@nadred5396
@nadred5396 8 месяцев назад
this guy is literally jesus himself re-incarnated as the math god , all hail Shawn
@alexandrosvardakostas6270
@alexandrosvardakostas6270 Месяц назад
Thanks!
@WrathofMath
@WrathofMath Месяц назад
Glad to help, thanks so much!
@the.graduate
@the.graduate 21 день назад
You earned one more suscription by this vid!❤ love you to deaaaaaaath
@WrathofMath
@WrathofMath 21 день назад
Thank you! ❤
@the.graduate
@the.graduate 21 день назад
@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
@WrathofMath 21 день назад
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
@the.graduate 21 день назад
@@WrathofMath THANK YOU SOOOOO MUCHHHHH😭😭😭😭😭😭💓💓
@myronparaskevopoulos2341
@myronparaskevopoulos2341 8 месяцев назад
🎯 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
@rtxa
@rtxa 4 месяца назад
Very nice video but I miss that you didn't talk about upper and lower bound :(
@WrathofMath
@WrathofMath 4 месяца назад
Thank you - I definitely still have lots more videos to make about Hasse Diagrams and other discrete math stuff!
@mrboyban
@mrboyban Год назад
bang bang on on
@wednesdayaddams718
@wednesdayaddams718 8 месяцев назад
😴Slept literally after knowing this
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