My professor is great. I love her lectures and the fact that she knows what she's talking about. However, I missed one and I had to find someone equally as great to teach me. Thanks man!
If I have enough resources to visit and thank you, I'd definitely do that man without thanking in comments. The perfect vedio I found so far on youtube to learn relations is this. All three types of relations were came at once and the important part is it was so clear. Thank you for this unconditional help.
I know this video is old but man this guy did a great job. Its literally perfect, short to the point with a well articulated explanation and visuals to pair. love it thank you!!!
Dr. Trefor Bazett, you are honestly my professor right now since my Discrete Math professor does not explain anything at all and does not even want to solve any questions that I might have. Thank you for your video you have clarified all my questions.
For anyone interested in Category Theory as a foundation of Mathematics, this is an excellent video to use as a springboard. Prof. Trev would add a letter on the lines (like f or g) to represent the function that makes the line symmetric. Of course symmetric would be more commonly known as a function and its inverse. Category Theory is so abstract and generalized, that it includes Set Theory within it! If you understand that last sentence, then you would understand how profound that it is and you should look into some Cat. Theory.
4:27 I might be in the wrong but he said that is does not matter that point z is not involved in this symmetric directed graph for the relation to be symmetric, however the defintion states for all x,y in A, thus indicating that is must be true for all pairs of elements in A. Idk if I understand something wrong here
Not all relations are morphisms. While drawing arrows is good practice- Heoff diagrams / Directed Graphs dont capture the bigger picture (currently looking for a video that captures the bigger picture)
Is this where graphs (graph theory) come from? Every time we see a directed or undirected graph, is it safe to assume that there is some relation on a set that relates the vertices to each other?
I think the answer is yes. I thought the same question while watching as I was trying to find other 2 step paths, which is probably why you asked this. Trefor's statement is correct but unrelated i think
One thing I can't wrap my head around: anti-symmetry. How would you describe that one? Thanks for the video! You've said in 6 minutes what take some, 2 hours to explain.
I m a 2nd year student nd was confused with these there relations bt sir ur explanation was great.... it was like my own teacher was explaining to me😊😊
Is this relation R = {(1, 1), (1, 2), (1, 3), (2, 2), (2, 1), (3, 3)} symmetric and transitive? Apparently it's symmetric because 1R2 2R1 however 1R3 but 3R!1 so I don't understand why it's symmetric.
careful, he's a hero
That's ture❤
when you haven't studied for an entire year yet you pass the exam with the help of youtube teachers. amazing
My professor spent two hours trying to explain this to my class and you explain it in 6 minutes. Amazing. Thank you.
Always trust TH-cam if you wanna pass a test
My professor is great. I love her lectures and the fact that she knows what she's talking about. However, I missed one and I had to find someone equally as great to teach me. Thanks man!
wierdo
@@Aminakzyzz no you
Just saved me from a fast 50 min lecture where my professor went over it like it was review.
Holy shit are you me?
Oh yeah...
If I have enough resources to visit and thank you, I'd definitely do that man without thanking in comments. The perfect vedio I found so far on youtube to learn relations is this. All three types of relations were came at once and the important part is it was so clear. Thank you for this unconditional help.
you are clutching up and you have no idea! Professor was straight yapping for an hour and 15 minutes and in 5 minutes you just explained it perfectly!
The sound of the pen kills me slowly
That sound of the pen gives me pleasure. BUT SERIOUSLY! Thank you for these videos!
better than indian accent videos tho
When people said 'math will end you' i didnt actually imagine it to be from a screeching pen
Perit Jan Aydemir I like it. It’s like some sort of ASMR
I came to type this. loool
I know this video is old but man this guy did a great job. Its literally perfect, short to the point with a well articulated explanation and visuals to pair. love it thank you!!!
Dr. Trefor Bazett, you are honestly my professor right now since my Discrete Math professor does not explain anything at all and does not even want to solve any questions that I might have. Thank you for your video you have clarified all my questions.
Thank you! I'm sorry you've been struggling with your actual professor, but glad I could help a bit:)
Incredibly concise and clear. Thank you!
For anyone interested in Category Theory as a foundation of Mathematics, this is an excellent video to use as a springboard. Prof. Trev would add a letter on the lines (like f or g) to represent the function that makes the line symmetric. Of course symmetric would be more commonly known as a function and its inverse.
Category Theory is so abstract and generalized, that it includes Set Theory within it!
If you understand that last sentence, then you would understand how profound that it is and you should look into some Cat. Theory.
I can't thank you enough! You're out here saving my grades and I'm so glad i found your channel! :))
You are most welcome!
Damn ! The best explanation for set relations without any doubt.Thanks a lot Mr and keep up the good work
this is the best video on the internet about the topic
Once again I find myself watching your videos for my class, and once again you fail to let me down.
I usually don't write comments but this is very well explained. What a great video!
so much better than my lecturer
Thanks but at 5:54 you said "You can go directly from x to y". Shouldn't it be x to z?
Yes sir! You’ve saved a soul from Zimbabwe 🇿🇼
Exam is in just over an hour. Ur saving me rn fam
You've explained this with such simplicity! Thank you so, so much!
This is such great revision for me. Cheers
I find these videos very very helpful. I cannot thank enough.
Glad you like them!
Thank you for your knowledge Calvin Harris
the entire class didnt understand the lecturers explanation and he asked us to change our course lol,thanks for the clear explanation
ten outta ten, would come again 💯💯💯
He is teaching this to college students and here I am, had to study it in class 11 only.😭
Esa hi hota h
me too this is in ncert class 11
Well done professor , I really like your calm voice
JESUS THANK YOU!!! Why are math professors so stupid to explain something so simple??? You saved the day. STOP DESTROYING THE BEAUTY OF MATH!!!
Damn...!! Straight to the point.
Outstanding quality of explanation
why i find this guy right now your explanation is just awsome
Thank you for the video! I had trouble understanding this concept until this video
big thanks for you, you've helped me with transitive as well
Thank you, understood it first time
Have been trying to grasp this concept for the longest of time...finally all of it makes sense..thanks😁
4:27 I might be in the wrong but he said that is does not matter that point z is not involved in this symmetric directed graph for the relation to be symmetric, however the defintion states for all x,y in A, thus indicating that is must be true for all pairs of elements in A. Idk if I understand something wrong here
Why didn't I find you earlier?! Great clear explanations.
Best explanation on this topic...❤
Wow, what an amazing video. Thank you so much. Very helpful!
Glad it was helpful!
If the videos... He post will be of 2 to 3 mins.. He will hit many likes and the concept will be to clear...
Yep... I admit... Hey same surname...coincidence 😆
Thanks mate! You've helped me a ton this semester. My discrete final is tomorrow! Wish me luck!
a year later, how did you do?
I did fine. B+. This channel helped a lot. @@ivanroman-y7q
Thank you for the lesson!
You’re most welcome!
Absolutely brilliant
From Bangladesh
mt profs notes are so confusing on this concept, thanks a lot for the clarity!!
This helped me so much ! thank you sir.
You just earned a fan from India! 🤙
@@DrTrefor I feel like your channel is very underrated! I checked your channel and you've got some good stuff brother!
You are the best! Great teaching skills... you make it approachable and intuitive.
Short and concise! Thank you!
Sir, How we check reflexivity if a relation on A×B ??
You need to check that for any (a,a) is in the relation R for every value of a.
@@DrTrefor thank you sir.
@@DrTrefor but sir if R contain in form of (a,b) or in form of order pair then?
thankyou for the video. It helps me understand the topic relation.
Yoo! Thanks bro. A lot informative video just over the concept which is the way i like to study.
Amazing explanation! I loved it!! Thank you Mr. Bazett. ☺
Thank you! I had a question(related to this topic) that I needed help with. Is there a way i can reach out to you ?
Not all relations are morphisms. While drawing arrows is good practice- Heoff diagrams / Directed Graphs dont capture the bigger picture
(currently looking for a video that captures the bigger picture)
Is this where graphs (graph theory) come from? Every time we see a directed or undirected graph, is it safe to assume that there is some relation on a set that relates the vertices to each other?
Giving examples with some numbers could further comprehending how these relations actually look like
Is it necessary that it can go in just 1 step instead of 2 in order for it to be transitive, or 2 is also ok?
In Transitive, when we have X->Y and Y-> X, should we have X->X and Y->Y too?
I think the answer is yes. I thought the same question while watching as I was trying to find other 2 step paths, which is probably why you asked this. Trefor's statement is correct but unrelated i think
What if there was no path to Z in the last example? Would that relation still be transitive since Z has no relation to the set? (*ie. it is isolated)
the way u explain is awesome
Ty you just saved my day!
Oh man you just made this click. I have read my textbook I have watched other videos and nothing made this click until I watched your video.
Fantastic explanation
This made me easily understand the topic thank u so much
Thank you. This was extremely helpful. It would have been even better if you included antisymmetric as well.
Amazing explanation, straight to the point.
Simple and clear
I appreciate your video.
One thing I can't wrap my head around: anti-symmetry. How would you describe that one? Thanks for the video! You've said in 6 minutes what take some, 2 hours to explain.
Thanks man! You're so easy to understand.
Maybe the ASMR will help me remember this stuff for an exam.
seems "3 different points" has omitted some cases, how about xRy and yRx, but x not R x, is it transitive?
Nope. The x,y,z are just place holders so in your example z was replaced with x, and thus not transitive.
You are really good
Today is my Exam I don't have any idea about that relation but then I found this video now I'm unstopable
Seriously a great explanation...!!
I m a 2nd year student nd was confused with these there relations bt sir ur explanation was great.... it was like my own teacher was explaining to me😊😊
Thanks! Such a great explainer!
Suppose we have a set A={ 0,1,2,3} and a R={(0,1),(2,3)} . Is this transitive Sir?
today I learned I'm not necessarily related to myself? feeling a little reflexive about it.
Amazingly Described !!
_WHO are you_ ???
I L💖ve you! Thank Y💝u!!👏🤓
Thank you sir!
Really helpful.
Thank you very much!
Is this relation R = {(1, 1), (1, 2), (1, 3), (2, 2), (2, 1), (3, 3)} symmetric and transitive? Apparently it's symmetric because 1R2 2R1 however 1R3 but 3R!1 so I don't understand why it's symmetric.
Really, It's latent talent of teaching Mathematics.
directly from my x to my ' says y maps to z'.
Herroooooo saved 8h lecture time
Is non empty set symmetric or reflexive or transitive ? And why if it is symmetric or reflexive or transitive ?
Thank u . Can u show us practicals ex
Thank u💕💕💕💕
extremely helpful, thankyou!
非常簡單易懂,我的離散有救了
If a relation is reflexive, symmetric and transitive then its called an equivalence relation.
I have a doubt....why your hand is so red 😕?
What about the anti-symmetric?
Everything is fine. But how does he write backwards
haha I just flip it on the computer:D
@@DrTrefor 😂😂😂
3:55 if this is my ex and this is my wife!!!
Why do you have a relationship with your ex and wife ?!
thank you so much! excellent explanation