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Equivalence Relation | Equality of Relation | Equivalence Relation Important Questions | Examples 

FEARLESS INNOCENT MATH
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DISCRETE STRUCTURES AND THEORY OF LOGIC
UNIT-1
SET THEORY, RELATIONS, FUNCTIONS AND NATURAL NUMBERS
DISCRETE MATHEMATICS
LECTURE CONTENT:
RELATION / BINARY RELATION
PROPERTIES OF RELATIONS
EQUIVALENCE RELATION
EQUALITY OF RELATIONS
REFLEXIVE RELATION
SYMMETRIC RELATION
TRANSITIVE RELATION
EQUIVALENCE RELATION IMPORTANT QUESTIONS
EQUIVALENCE RELATION EXAMPLES WITH SOLUTION
equivalence class, equivalence concept, congruence modulo relation, x-y is divisible by 3 equivalence relation, a+d=b+c equivalence class, congruence modulo equivalence relation, what is equivalence relation, Properties of relations discrete math, reflexive symmetric and transitive, symmetric and antisymmetric relations, Operations on relations in discrete mathematics, Relations in discrete mathematics, binary relation discrete mathematics, set theory discrete mathematics, set theory discrete structures.
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By: Dr. Anuj Kumar
Assistant Professor (Mathematics)
Ph. D, Gold Medalist in M. Sc and B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.
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BY DR. ANUJ KUMAR SIR
BY ANUJ KUMAR SIR
@FEARLESS INNOCENT MATH
#discretemathematics#discretestructure #kcs303​

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23 сен 2024

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Комментарии : 92   
@manmohansirclasses
@manmohansirclasses 11 месяцев назад
Hame nhe lagata yesa or koye teacher pada payega thanks so much sir 🙏 👍 👏 😀 🙌 😊 🙏 👍
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 11 месяцев назад
Thanks dear for the lovely comment
@Manav002-y1x
@Manav002-y1x 14 дней назад
Thank you sir You are the best teacher for all students You provide free education of engineering students without taking fee❤❤❤
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 13 дней назад
Welcome dear❤❤❤
@codergirl7
@codergirl7 Год назад
Nice explanation 👍👍
@dr.anuj.fearlessinnocentmath
Thanks dear💖💖
@avinashkumar3809
@avinashkumar3809 11 месяцев назад
Sir ye reflecsive , symmetric out trsnsitive class 11 me tha vaha par samajh nahi aaya tha . But aapse 1st attempt me sab samajh me aa gya Thanku sir for your efforts ❤
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 11 месяцев назад
Very nice dear 💖💖💖
@godofwar8262
@godofwar8262 Год назад
Sir keep making videos Your subscription will grow
@dr.anuj.fearlessinnocentmath
Ok dear
@abhisheksharma1842
@abhisheksharma1842 2 года назад
Thank you soooooo much sir for working hard for us 💞
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 2 года назад
Thank you dear
@HarshKumar-cc2pj
@HarshKumar-cc2pj 4 месяца назад
00:04 Understanding Equality of Relations 03:42 Equivalence relation has three properties: reflexive, symmetric, and transitive 09:09 Understanding equivalence relations 12:39 Understanding Equivalence Relations 24:17 Equivalence relation is an important concept in mathematics 29:20 Understanding equivalence relation in modular arithmetic 38:15 Exploring Transitive Relations 42:05 CD relates to R through reflexive relation 47:16 Exploring equivalence relation through examples 50:45 Explaining the properties of equivalence relation 57:58 Relation R is not an equivalence relation 1:01:04 Equivalence relation based on distance 1:08:06 Understanding some theorems of equivalence relation
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 4 месяца назад
Very nice dear
@FusionTechTube
@FusionTechTube Год назад
Thanks sir for this phenomenal lecture ❤️
@dr.anuj.fearlessinnocentmath
Welcome dear
@amannawab04
@amannawab04 11 месяцев назад
Sir lecture is crystal clear and surely I'm not going to drop any question related to it ... Thanks a lot sir My 2nd sem maths' result is much good as compared to other students because of you sir Thankyou ❤️ you once again...
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 11 месяцев назад
Most welcome dear❤❤❤
@silkyrohila27
@silkyrohila27 10 месяцев назад
Thankyou Thankyou sir....🎉❤❤❤❤
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 10 месяцев назад
Welcome dear💖💖
@rajmaurya4721
@rajmaurya4721 25 дней назад
49:32 sir (a,b) belongs to NXN hoga kyonki hum Relation on NxN kar rahe hai….maine verify kiya
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 24 дня назад
To dear Maine wrong kha likha hai ye btao
@rajmaurya4721
@rajmaurya4721 24 дня назад
49:58 yaha par (a,b) R (a,b) hona chahiye . Please correct me if I am wrong
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 23 дня назад
@@rajmaurya4721 Ye bhi thik hai dear Elements kisi bhi form me le sakte hai
@mohamadkhurshidalam7959
@mohamadkhurshidalam7959 Год назад
Thank you 😊 so much sir 😊
@dr.anuj.fearlessinnocentmath
Welcome dear
@Langharboys
@Langharboys Год назад
thank you soo much sir this chapter is now very very easy for me by watching your video lecture
@dr.anuj.fearlessinnocentmath
Very nice dear
@mark_william
@mark_william Год назад
Appreciate a lot thankyou sir
@dr.anuj.fearlessinnocentmath
Welcome dear
@aashishjatran4462
@aashishjatran4462 2 года назад
Thanks sir
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 2 года назад
Welcome dear
@abhii-fitness-world
@abhii-fitness-world 7 месяцев назад
Sir en question ko example lekr smjaye jaise ki x k elements de rkkhe h or y k elements kya honge fr unko subtract krke ase kuch smj aata h kych nhi
@sauravsingh.2
@sauravsingh.2 2 года назад
Thank you❤🌹🙏 sir
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 2 года назад
Welcome dear
@ll_vijendra_
@ll_vijendra_ Год назад
Thanks sir ji
@dr.anuj.fearlessinnocentmath
Welcome dear
@livecodealone
@livecodealone 2 года назад
sir you are great
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 2 года назад
Thank you dear
@anchalsahani6567
@anchalsahani6567 7 месяцев назад
Thanks 🙏🏻 🎉🎉
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 7 месяцев назад
Welcome dear❤❤
@Brijeshkumar_14
@Brijeshkumar_14 2 года назад
Thanks sir 🙏
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 2 года назад
Welcome dear
@hindutva68
@hindutva68 4 месяца назад
sir transitive ke liye a= b ke liye dekhenge ya n? agar dekhte hai to equivalence ke pahle example me 2,2 ke liye transitive kaha hai
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 4 месяца назад
Ye set per depend karta hai dear Sabhi question same nhi hote
@explorer1712
@explorer1712 7 месяцев назад
sir transitive same element pe check ni karte?
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 7 месяцев назад
Ok
@nigamGvlog
@nigamGvlog 10 месяцев назад
👏🏻👏🏻👏🏻
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 10 месяцев назад
Thanks dear💖
@Brijeshkumar_14
@Brijeshkumar_14 2 года назад
Thanks
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 2 года назад
Welcome dear
@mayankjha316
@mayankjha316 Год назад
sir please also upload unit 2 lectures :)
@dr.anuj.fearlessinnocentmath
Check playlist of module 2 All lectures are there 3 module is going on
@mayankjha316
@mayankjha316 Год назад
@@dr.anuj.fearlessinnocentmath thank you so much sir
@sudhanshudixit4284
@sudhanshudixit4284 Год назад
sir dstl ke notes bhi de dijiye please🙏🙏🙏🙏🙏🙏
@dr.anuj.fearlessinnocentmath
DSTL Notes nhi hai dear mere pass
@shrikantchauhan4634
@shrikantchauhan4634 2 года назад
Sir group me mathematics 1 ke notes send kr dijie
@kuldeepkumar-pm7zf
@kuldeepkumar-pm7zf Год назад
Sir agar reflexive symmetric and transitive ma pair ban rhe hai but sabhi ke sath nhi toh kya tab bhi relation equivalence hoga?
@dr.anuj.fearlessinnocentmath
No dear
@clashingsword2685
@clashingsword2685 6 месяцев назад
Sir 52:02 par cb=da hai to ye(c,d)R(a,b) kaise hua
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 6 месяцев назад
By the given definition ❤
@the_memer_bro_21
@the_memer_bro_21 Год назад
4:50 sir For all value of a,b,c belongs to A ya R?
@dr.anuj.fearlessinnocentmath
Belongs to A dear My mistake
@kartikeyashakya4272
@kartikeyashakya4272 Год назад
@@dr.anuj.fearlessinnocentmath where sir ?
@dr.anuj.fearlessinnocentmath
@@kartikeyashakya4272 4:50
@kartikeyashakya4272
@kartikeyashakya4272 Год назад
@@dr.anuj.fearlessinnocentmath sir vahi to samjh nhi aa rha kaha pr time se pta nhi chl rha mujhe .
@ankitchaubey759
@ankitchaubey759 Год назад
complecated lacture but sitll nice🙂
@dr.anuj.fearlessinnocentmath
Thank you dear
@explorer1712
@explorer1712 7 месяцев назад
jaise (1,1) pr
@kartikeyashakya4272
@kartikeyashakya4272 Год назад
Ex 5 m, R = ~ kya name h iska sir ?
@dr.anuj.fearlessinnocentmath
Tilde or tilda symbol ~
@feelings4622
@feelings4622 7 месяцев назад
Sir ye sare pdf kaha milenge
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 7 месяцев назад
Dstl ke notes nhi hai dear
@Chamelisree5161
@Chamelisree5161 2 года назад
Sir yeh math 3 ka discrete structure unit 1 b kya
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 2 года назад
Yes, see the syllabus
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 2 года назад
Dear, same syllabus of module 3 math 3
@Chamelisree5161
@Chamelisree5161 2 года назад
Unit 1 h kya discrete structure .
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 2 года назад
Dear Math 3 ka unit 3 and Discrete ka module 1 almost same syllabus hai. See the syllabus dear
@alokindori1043
@alokindori1043 Год назад
15:10 ye kya bat hui sir.. X-y pucha usne.... Tumne x-x show Kr diya ... Or 3 se divisible h to reflexive kese Ho gya 0 kese divisible h 3 se.... Phali bat to x-y Lena ta.... Same element kese le Liye apne 😥😥 mera sir ghum rha isme back h pakka
@dr.anuj.fearlessinnocentmath
Dear reflexive ki definition lagai hai maine Base ko jano pehle dear
@alokindori1043
@alokindori1043 Год назад
@@dr.anuj.fearlessinnocentmath sir eke video bna do passing marks ke Liye.... Har unit important topic bta do Dstl me se..... Please sir kr do February ke last me exam h 🙏🙏
@PahadiChan05
@PahadiChan05 10 месяцев назад
Smjh nhi aara theoretically kese prove hori cheese 😭😭 Example se to tabh bhi aara tha smjh ye to esa lgra ki kuch bhi chlra Not blaming you sir I didn't understand the method or process 😭
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 10 месяцев назад
Ek ek video dekho shuru se Notes bnao Fir samjh aane lagega dear
@adityakhute9798
@adityakhute9798 Год назад
😵‍💫
@anushka_katiyar_9
@anushka_katiyar_9 Год назад
Sir in question no2 you have forgot to solving the next part we have to prove it further.
@dr.anuj.fearlessinnocentmath
In last, I done it See dear
@anushka_katiyar_9
@anushka_katiyar_9 Год назад
@@dr.anuj.fearlessinnocentmath yes sir I got it. 😀
@amitgangwar5843
@amitgangwar5843 10 месяцев назад
1:04:31 Excuse me sir , yh l a+b l=l a l+l b l ......yh modulus ki property hoti hai kya ki a+b ke mod ko mod a + mod b likh sakte hain ....... Sir doubt clear toh kijiye I mean mod a plus b ko mod a plus mod b likh sakte hain kya
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 10 месяцев назад
Yes less than equal me hoti hai ye property
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 10 месяцев назад
Yes likh sakte hai both greater than and equal sign me
@King12_02
@King12_02 2 года назад
Thank you so much sir 🙏🙏🙏
@dr.anuj.fearlessinnocentmath
@dr.anuj.fearlessinnocentmath 2 года назад
Welcome dear
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