equivalence classes

[@hovhadovah]

I can't help but wonder why I pay thousands of dollars for university tuition if my stupid textbooks can't explain things as easily as many of the wonderful videos by people such as yourself. Thanks so much for this!

[@stefdanut123]

so true :)

[@saomaster1021]

Because you want that piece of paper

[@Abdulrahman858]

In five minutes you teached me something that I spent all day trying to figure out ..thanks so much

[@jaredtweed7826]

Honestly same! This video simplified the idea so much.

[@acedev003]

Same here. Been scratching my head whole day staring at my note for this particular topic.

[@roxiogamer]

All these lectures in uni about this and I go to one 6 minuet KZbin video which explains something I failed to grasp in an hours lecture. You sir are fantastic! You made it simple and easy to understand.

[@readward2572]

My textbook says: "To find the equivalence class of every element of A, do this: [0] = {x E A | xR0 } = {0,4} [1] = {x E A | xR1 } = {1,3} [2] = {x E A | xR2 } = {2} ..... and so on." I have no idea what the author is talking about. I do not understand why some professors do not use simple English to express some new concepts. Your video makes it so easy for me to understand what Equivalence Class really is. For that, I say thank you.

[@ikik32]

Agreed. The authors of these textbooks are much to pompous and arrogant to realize who their audience is. They thought they would be winning a nobel prize in their youth and now take out their anger for their failures on university students trying to learn. Shame on them. I'm not going to get the job app for the free game tickets for the game tickets for my tickets and I don't get it because they don't get tickets to get the game tickets for tickets I want tickets and they will and I have a big ticket for a Christmas present and they don't have to be there when I'm leaving for Christmas because they are not going to be there because they are so big they have to come back with the squad they don't are there for Christmas they 🎄 with the a frat house that is a big bag security for a man to get a free game tickets for Christmas Day and the game tickets for Christmas Day and they will a frat ticket for yuyyour and the squad they have tickets to get tickets for tickets tickets to Christmas and Christmas Eve is going on a super smash ticket for Christmas and they are going out of their way and he came tickets to Christmas and Christmas dinner for Christmas present and tickets are on their team comes on

[@mahekshah9337]

what the author says is x is in equivalance with a and with realation to 0 i think . its my personal view

[@MaggotDiggo1]

I think lecturers should be explaining the concept both mathematically and intuitively.

[@LalitKumar-sr4ez]

Same here

[@ea1766]

Agreed, why do they make everything seem so complicated. It's torture.

[@V33D00]

I've spent 5 days trying to understand how equivalence classes actually work, you just taught me in five minutes. Super helpful video and detailed video. Thanks alot!

[@expectedmiracle]

The book, for which I paid $200, was so confusing. You made it crystal clear in 5 mins. You are awesome.

[@abhinavskumar1608]

Thank u sir....I've been trying to study it for an hour now....my textbooks are making it complex...but u explained in in the most simple way...thank you

[@tavrion]

Thank you for taking the time to make these videos. Such a fundamental concept, yet very few (if any) books clearly explain these concepts with examples as good as these.

[@REXanadu]

Nice refresher before a test. I had so much trouble remembering what an equivalence class was until I saw this video. Thanks.

[@謝霖泳-n8v]

Illustrated clearly!!! gratitude from NTHU, Taiwan.

[@MrHalberg]

Great video, thanks for the help! Still relevant info 10+ years later!

[@thomasallison6413]

Spent two days and a lecture trynna figure this out. You succeeded in 5 minutes my man

[@RagnarSwanson]

I just spent an hour trying to figure this out. Man, this is really simple. Thanks.

[@johnfcarter]

Glad it helped.

[@davidmooreulster]

This is a great explanation. Simple and concise, thank you!

[@ma5riam18]

Thanks, great video. Cleared my confusion on this topic.

[@acedev003]

Thanks a ton for this amazingly simple video. Hope you make more videos like this into the future.....

[@peterkessinger1965]

Explained really well and straight to the point, thanks.

[@JamesDavidson424]

Really helped me understand this concept, thank you!

[@Kazutadashi]

Awesome video, makes perfect sense explained this way

[@Abdullah5267]

Thanks bro, i was confused about equivalence class but this blew away the fog

[@mosammatyeasmin2026]

Very helpful and very easy !!! Thank u....

[@yildizyeni]

you are THE MAN. thanks a lot, I mean A LOT

[@bunmiakinremi]

Thank you so much for this video, I haven't really gotten the concept since last year until now

[@nguchi1]

Thankyou so much. I was struggling with equivalence classes and its been most helpful...

[@137princyram3]

Very Helpful For my Exam Thank You Sir !!

[@FugieGamers]

I know their is really old but Im was studying a math book by myself and this concept never clicked for me. Thanks for this video man

[@빨리방리]

Thank you for clear explanation. plz come to my university and replace prof

[@rene-parizh]

Great video! Thanks!

[@BLCxlongboards]

Your video was finally able to help me. Thanks!

[@kartiksinghslathia2529]

Really helpful thanks for the information

[@roanrovu3479]

When you try to listen carefully to your teacher but his/her voice cracked 1:58

[@aeglen]

Clear explanation, the underlining really helped, thanks!

[@chummyigbo8844]

Great video. Thanks

[@ea1766]

Good video, straight to the point! Rubbish lecture notes that make this seem extremely confusing.

[@10kevinle]

Understood it instantly! Textbook made no sense. Thank you.

[@Raawr77]

Thanks for the video, very simple when its explained like this as opposed to how it was in my class.

[@martinfextremevocals]

I had some problems understanding this. thank you

[@priscillaton7669]

So clear and helpful, thank you so much!!

[@mark-6572]

THANK YOU I have a question so what is a quotient set (it's related to similar to equivalence classes) and could you give an example

[@ShawryaMehrotra]

Thank your John, very helpful

[@reubenwilliammpembe667]

Thank you Sir - you are the best!!!

[@akbarabbaskadaya8295]

How to find Rank of equivalent relations?

[@KellyMaryOnette]

Thank you so much! my textbook was so vague; this really clarified things!

[@n4223r]

Thanks. This was very helpful.

[@JuliaNagy-w3n]

1:24 and i finally understood why i can't make 2 different classes with one and the same value. Can i shout "THANK YOU"?

[@thelearner873]

Thank you for teaching this !!

[@davidgaster]

I thought equivalence classes are all disjoint? [Edit:] Wait nevermind, the equivalence classes of [1], [2], and [3] are all equal, so they are the same equivalence class.

[@DOUMIBRA]

Very clear sir. Thanks..

[@jsgodara9522]

It seems so easy now. Thanks.

[@amitapadhi2652]

Tysm ....u clear my all doubts in only 5 minutes tysm

[@mikesta2]

thank you jesus

[@ITI-xi5zx]

Is the video not showing text for anyone else?

[@ohehoyevlogger]

It's like Maggie in 4-5 minutes 😎😎🔥🔥😀

[@HoangTrongNghia]

is [6] = empty set or [6]=[1]=[2]=[3]?

[@iamsashanksahil]

🔥Thank You Sir!!🙏

[@oliviamcclure2873]

Thank you John.

[@I3uzzzzzz]

thank you for this. you made it so clear. if i wanted the quotient set, that would simply be all of the equivalence classes right?

[@nihao852]

Thank you so much! It helps a lot.

[@knaxel]

I can't believe how many of us are here because university convinced us they could actually teach better than random internet strangers

[@sharmilaraja3086]

in the set Z of integers define mRn if m-n is divisible by 7.prove that R is an equivalence relation.plz explain it

[@nicoletti901]

Whenever you need to prove equivalence relations, just show that the properties of reflexibility, symmetry and transitivity hold. For this example: Reflexibility. m-m=0 is divisible by 7, hence mRm holds Symmetry. If m-n is divisible by 7, then so is n-m (since n-m = -(m-n) ), hence mRn -> nRm holds Transitivity. If mRn and nRa, then 7 divides both m-n and n-a. 7 then also must divide their sum. (m-n) + (n-a) = m-a, hence mRn

[@thetosman]

Exactly what I was looking for, thanks.

[@TheAllen501]

but the x and y position is exactly the OPPOSITE from what my prof taught in class. Just found another video that explained the way my prof did.

[@tomashaddad]

yep, his definition is backwards ... for a binary relation R on a set A, the equivalence class containing a is the set [a] = {x in X: xRa}; i.e. for an ordered pair (x, y) in our set R, if y = a, then x is an element of the equivalence class

[@CodeProps]

Thanks ..it really helped.

[@Jae-espi]

I love you and everything you live and stand for.

[@Cwlluke]

Cool video.

[@awesomerfun6312]

Thanks for the help......:)

[@GaiusAnonymous]

thanks, well illustrated

[@shihabudheenillikkal1333]

good lecture

[@minwoo503]

Omg, thank you so much sir! I understand now!

[@METALsyndr0me]

This was fantastic, thanks!

[@chenzhuo9]

god bless you.

[@maneeeshind6692]

if we add (2,4) and (4,2) in relation set then then equivalence set of 1 will be {1,2,3} and equivalence set of 2 will be {2,1,3,4}.,.. now why the equivalence set of 1 and 2 does not match now,.??? plz guide.,.,

[@midaseosrs602]

With your additions, the equivalence relation is no longer an equivalence relation, as it isn't transitive. You would also need to add (1,4), and (4,1) which would result in the relation again being an equivalence relation. Then the equivalence class of 1 would be {1,2,3,4}.

[@kazjansen5762]

Not entirely true. If you add (2,4) and (4,2), this would imply that via transitivity you need the following extra relations: If 1 leads to 2, and 2 to 4, than 1 leads to 4 (so 1,4) If 3 leads to 2, and 2 to 4, than 3 leads to 4 (so 3,4) The problem is that, by symmetry, you would also require (1,4) and (3,4) to have symmetric pairs. By adding (4,1) and (4,3), this problem is also solved and equivalence is again obtained.

[@ricric4722]

Thank You!!! Thank You!!!

[@anshikasingh9177]

Thank you sir🙏

[@pintudon3209]

exactly what i was looking for thnks .

[@Yeasmin12]

Write distinct equivalence classes of Z if n=4 so that Z is the union of these

[@nevingeorge989]

Thanks bro

[@patrickdoll6036]

Thank you kind sir!

[@mti4225]

Thanku soo much man...

[@kulithnajika2565]

u are da best

[@forrest-forrest]

Why did I struggle so much understanding this?!

[@FReeARouND1992]

very helpful thanks a lot!

[@trinathon36]

Thanks SO much! Helped a ton =D

[@re7650]

Made my day1!!

[@MrNwanda]

thanks, this really helped me alot.

[@kuchki1]

thanks, that video helped me understand it

[@patbateman69420]

Cool video, thanks. Still glad I changed majors tho.

[@alekhyavaddempudi9386]

Handwriting doesn't matter content is important while watching this video ilearned

[@bajadude3k]

Thanks alot

[@yuvaliko]

helped a lot! thank you

[@InstantlyFail]

Understand it now, thanks

[@0MrJay0]

Thank you soooooooo much!!

[@humaidkidwai]

Thanks a ton!

[@walidzein1]

Lol he made this super easy

[@Collection-ez3jc]

thanks

[@amaljithindrajith2977]

Thank you

[@nmot97]

Thanks!

[@zenanuhaily7664]

thank you!

[@arushibhattacharya2143]

thanks!!