Equivalence Relation in Discrete Mathematics with examples

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A relation R on a set A is said to be an equivalence relation if and only if the relation R is reflexive, symmetric and transitive.
Reflexive: A relation is said to be reflexive, if (a, a) ∈ R, for every a ∈ A.
Symmetric: A relation is said to be symmetric, if (a, b) ∈ R, then (b, a) ∈ R.
Transitive: A relation is said to be transitive if (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R
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Thank you for your efforts sir

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The way you teach it is very amazing
Thank you sir

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Kal paper hai yaar😫😫😫😫

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I m Pakistani u make discrete mathematics easy for me ... Thanks sir 😊

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Very well explained 😊 thank u sir

[@nothingisimpossible.1357]

Thanku sir ❤️

[@anshikakumari2978]

Thanku sir

[@cool-vv5hk]

Sir first relation mai transitive nhi honga na ?( 1,1) (2,2) us relation mai (1,2) hai hi nhi

[@itxbtsluvs]

Us mei hamary pass xy or yz hi ni hai to usy by default hum transitive likh dein gy

[@sawera605]

​@@itxbtsluvsjust like by default transitive?

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[@Growingmindsetalha]

5:25 pr transitive pr (3,2) (1,3) likha hai to is ka transitive (3,3) exist kr to rha hai but sir n kha y transitive ni hai.

[@studentstruggle7450]

Hoga transitive bhai

[@adityasalbarde9849]

Bhai x,y and y,z hona chaiye 2 is not equal 1 that why y is not equal

[@sanketmane2303]

R3 is symmetric bcz (1,1) ( 2,2) (3,3) is there only transitive is not there

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[@snehalmali3328]

How to solve this question....show that the relation R is an equivalence relation in the set A={1,2,3,4,5} given by the relation R={(a, b):|a-b is even}find equivalence class and rank of R. find equivalence class.

[@adi-vlogs]

you don't have mentioned your question properly, your results may complete when {set -A} is (Identity relation). Until you can't able to put the value of b to satisfied the condition (a-b)=even number.

[@madhavdhatrak]

Sir NUMBER Of relations par bhi video bana Do

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Best online teacher ever

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[@sanjaymittal2500]

👍

[@adi-vlogs]

@4:36 , how is this possible (2,1)=x,y but (1,2)=y,z .... please make sure that 2 is x or y. so that's why R³ isn't transative.

[@umarhayat7214]

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[@JayanaJoshi]

sir in R1 how is it transitive? as it is displaying same values...(1,1)(2,2)(3,3)?

[@iammahesh2597]

xy hai and yz hai nahi to transitive nahu hoga

[@JayanaJoshi]

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Parso tak

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Trigonometry topics ke vedio nhi hai sir

[@aaqibjaved2258]

Good

[@shraddha429]

R1 ke liye symmetric hai
Tho fir R3 ke liye tho symetric ho skta hai like (1,1) (2, 2) .

[@gayatri263]

hurray

[@itskhitish1265]

Thanks guru

[@Jutt---]

Sir (1,1) (2,2),(3,3) kaisy transitive ho skty hai. Ye definition k against hai

[@Jutt---]

Sir plz reply me. I am cofused

[@anandrajgupta8560]

agar sara element ka brabar wala pair aa rha h toh reflexive , symmertric & transitive bhi h kyuki, left to right (1, 1)
ke liye right to left (1, 1) bhi hai, and ab aise dekhiye (1, 1) ke liye (1, 1) bhi h , definiton ke according . So , transitive.
Note- R= {(1,1) , (1,1)} likh nhi skte, b/c set unordered and different element bolta h
Aap sare brabar wale pair ko ab 2 pair like (1, 1), (1, 1), (2, 2), (2, 2), (3, 3), (3, 3) leke dekhiye
aapka ans aa jayega, hope it would help you.

[@theroyalrashed8335]

sir empty set is reflexive

[@kamilaarshad5427]

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Pakistan se kaha se bhaijan.

[@raviram746]

Jai Shree Ram bhaiyon 🙏🚩
I'm in class 12th but watching it because explanation is so easy and this topic is in our syllabus 2023-24

[@Mbediting79]

❤

[@itxbtsluvs]

Sir empty set symmetric or transitive kesy hein? 🙂

[@MuhammadAslam-dm2st]

Great

[@AnsaBilal-kb2xm]

Ap nay arguments ki koi video nai dali plz wo bhi bna day

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When next video is coming sir ??

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❤❤❤

[@CodeInfo-h1g]

Sir aap bahut acha explain karte ho aage se mat karna

[@bhaveshdrathod4386]

Sir equivalence class kya hota hai isme?
Vo to isme nahi padhaya aapne but aata hai vo topic

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ye baar baar wahi bol rha har video mein

[@mathematician5878]

Superrrrrrrr

[@Hafsakhalid-j4g]

Sir equivalence classes and qoutient set ka topic khan han plz link snd kr dyn

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Sir remaining videos bhi send karo

[@dikshasingh2596]

,1st wala transitive kese h... Samajh nhi aaya.... X,z to hai hi nhi usme

[@inridas6671]

R1 transitive nahi hai

[@chsaad9214]

Sir Jo aapne bola R1 transitive ha jb k transitive ni ha toh phir phly wali equivalent ni ha

[@rishisharma314]

Right

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Kis kis ka tomorrow exam hai

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Mera

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Mera😂

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Mera Aaj hai

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Mera

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😂 mine

[@kamalakantamohanta829]

R3 is transitive

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Sir mera ye manna hai ki mai kahi same pair dekhunga to mai use direct equivalent man lunga

[@gourav1163]

One Private Video Between The Playlist

[@sumitshedge9196]

Sir iss video ko bsc cs vale dekh sakte he kya

[@studentstruggle7450]

R4 - set me transitive hoga sir aap
Wrong bata rahe ho

[@Sajikhankhokhar]

O yar reaaly mjy to ak vidio sy 4 topic clear hogy ...reflexcive symetric and transative

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Legend watching 1 day before exam 😂

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