How to Prove a Relation is an Equivalence Relation

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How to Prove a Relation is an Equivalence Relation
Proving a Relation is Reflexive, Symmetric, and Transitive;i.e., an equivalence relation.
I had never done this problem before so there are moments where you can see me pause briefly because I had to figure it out.

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3 окт 2024

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Комментарии : 93

@Joel-js2gk 2 года назад

This guy teaches me in 5 minutes things that I've struggled to understand after hours of studying teacher's notes. My teacher is actually really good for the most part but I think the majority of teachers struggle with over complicating matters. Or maybe I just don't pay enough attention in class 🤣

@Sigmafemale..14 Год назад

Obviously both came to the conclusion bruh

@erjon6569 3 года назад

This guy is the most American looking person I've ever seen Thanks by the way 🙂

@TheMathSorcerer 3 года назад

Lol

@isabelamaro7722 3 года назад

Oh my gosh! You thought better than my professor! I love that you repeat everything multiple times and show where you got it from!

@bingusdingus8239 3 года назад

Thank you so much, as someone with adhd you were able to actually keep my attention!!

@TheMathSorcerer 3 года назад

success!

@abrarrahman6302 4 года назад

Really great explanation. Thank you. Great teachers like you make studying worthwhile.

@TheMathSorcerer 4 года назад

aww thanks man!

@Ekkos_Baked 2 года назад

finally someone who knows what they're talking about and also has an accent i can decipher

@raminhussain2740 11 месяцев назад

Goes straight to the point, well explaned I love it. Keep up the amazing work!

@realyours643 3 года назад

the explanation was really good, i watch it while i was laying down, but it got to my brain. really great explanation, thank you sir, keep doing your hard work💪

@TheMathSorcerer 3 года назад

Awesome

@ralphcastro8661 3 года назад

this is way better than how my prof explained this topic

@nandinichaurasiya8362 5 лет назад

Nice way of explanation, thanks a lot😊😊

@jessesambro9535 5 лет назад

did you do a line of coke before this video. Good video tho

@wowowowzzz 3 года назад

2 lines

@NF-pk5mo 3 года назад

Thats the best thing about this guy XD

@TheMathSorcerer 3 года назад

Lol

@liem8687 2 года назад

u just saved my assignment, thankyou

@wytewolf77 4 года назад

Tiger King is a smart cookie, good vid, cheers.

@Jacob-rg8fj 11 месяцев назад

thx for the video, keep up the good energy

@Fearnotsforlove 3 года назад

This was very very helpful! Great method of teaching

@droidman425 11 месяцев назад

Thank you very much sir love from India ❤

@gpiludu 5 лет назад

Thanks, Sorcerer Cowboy. This was a good explanation.

@TheMathSorcerer 5 лет назад

thank you!!

@gerechte1 5 лет назад

Can you please start teaching at my university? The current prof even looks just like you but with 10 hours less sleep

@TheMathSorcerer 5 лет назад

Lol

@haleyanderson2258 Год назад

lol

@gabrielowen7933 Год назад

what a great video

@LeVraiment 4 года назад

Nice video. I also discover that we can prove the transitive property by adding a + d = b + c and c + f = d + e.

@TheMathSorcerer 4 года назад

yup:)

@princekumarsingh243 4 года назад

what a knowledge man

@TheMathSorcerer 4 года назад

Thx

@philmccavity Год назад

Makes me feel better watching math pros get confused doing proofs.

@דניאל-ט9ד 3 года назад

nice to see exotic joe finally learned math

@Thegamer-kf8zz 2 года назад

Awesome video!!!!!

@TheMathSorcerer 2 года назад

Thanks!!

@JamesBrodski 3 года назад

Amazing video! Thank you so much.

@epicblubber 3 года назад

This helped a lot thanks man. Nice hat by the way!

@TheMathSorcerer 3 года назад

Excellent !!

@natholdelessa6369 4 года назад

Really Helpful Thank you very much

@Ali124hdkflc 3 года назад

Currently learning this stuff in my theoretical foundations class haha. Good stuff man, you always put out great content. How did you feel about these when you were first introduced to them?😅

@TheMathSorcerer 3 года назад

I didn't understand what a relation was at first, struggled hard lol

@Sigmafemale..14 Год назад

@@TheMathSorcerer Not bad cos every master was once a beginner

@zeenatreddy7692 3 года назад

this video + these comments made my day lmao, loved it. ahh thank you!

@TheMathSorcerer 3 года назад

I'm so glad!

@S.edu2023 2 месяца назад

Thanks

@jeboitonny1901 3 года назад

Thanks for this vid. It helped me a lot

@TheMathSorcerer 3 года назад

Glad it helped!

@lemone9639 3 года назад

It's 3am, I was about to do three shots of expresso cause I wasn't able to understand this all night and I need to prove a point to my prof at 9. You just gave me an hour of sleep. Thanks

@xIEBx1 4 года назад

You are the best!

@TheMathSorcerer 4 года назад

❤️

@bestdeals-amazonus7779 5 лет назад

Amazing! Thank you!

@TheMathSorcerer 5 лет назад

np:)

@abelmedina-aispuro3716 Год назад

He is awesome

@Caarve 4 года назад

Thank you so much

@TheMathSorcerer 4 года назад

You're most welcome:)

@user-ee4yx2hs3k 5 лет назад

Thank you bro

@TheMathSorcerer 5 лет назад

@XxYoShIkOgAkIxX 5 лет назад

Coke is your friend lol. Nice video, I see you have fun doing what you are doing :)

@creepdrgaming1205 Год назад

Convert the condition to a-b=c-d, then every equivalent point appears on a line.

@saipansmall 3 года назад

Why do you add the inner and outer elements together? (A,B)~(C,D) becomes A+D=B+C

@itslogic9583 4 года назад

Well this was fun

@TheMathSorcerer 4 года назад

👍

@shawnl7966 4 года назад

Your videos are really great. If I may give my feedback, I preferred the ones that were just a blackboard. I think adding in mental processing of watching a person and all that comes with that is distracting. Goal is just to focus on the math for me.

@bunstie5208 2 года назад

hi, i pretty much have the exact same question but instead of outers + inners its, a+b = c+d. because addition is commutative i believe i can just rearrange to suit my question?

@정광빈-i8w 3 года назад

I LOVE YOU

@Lionfish5656 3 года назад

What if instead of (a,b) ~ (c,d), you have a + b? I'm trying to follow the video format, but it's very confusing. Perhaps I'm taking way too much meletonin.

@Uax101 3 года назад

math is a helluva drug

@mmmhhh842 Год назад

I LOVE YOUU

@Hi_Brien 3 года назад

Wild, you used to look like that?

@TheMathSorcerer 3 года назад

LOL wow yeah that facial hair, humm, I wonder if I should grow it back haha

@Hi_Brien 3 года назад

@@TheMathSorcerer so right now I am working with an equivalence relation. Specifically I have to show that bijectiveness defines an equivalence relation on sets. I can think of a few bijective relations that are not equivalence relations though, simply because of reflexivity, f(a) = a means the only function that works is an identity function like i: A->A, is there some kind of misinterpretation I am doing?

@Hi_Brien 3 года назад

@@TheMathSorcerer My current thought which I have very little faith towards is just showing that ~ is bijective? Is that what the prompt "prove that bijectiveness defines an equivalence relation"

@Hi_Brien 3 года назад

Update: The actual prompt was isomorphism defines an equivalence relation. I just renamed isomorphism wrongly in my head.

@Caarve 4 года назад

6:08 LMFAO that facial expression

@TheMathSorcerer 4 года назад

LOL