Equivalence Relation | Equality of Relation | Equivalence Relation Important Questions | Examples
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- Опубликовано: 19 сен 2024
- 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
Hame nhe lagata yesa or koye teacher pada payega thanks so much sir 🙏 👍 👏 😀 🙌 😊 🙏 👍
Thanks dear for the lovely comment
Thank you sir
You are the best teacher for all students
You provide free education of engineering students without taking fee❤❤❤
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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 ❤
Very nice dear 💖💖💖
Nice explanation 👍👍
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Sir keep making videos Your subscription will grow
Ok dear
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
Very nice dear
Thank you soooooo much sir for working hard for us 💞
Thank you dear
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...
Most welcome dear❤❤❤
Thankyou Thankyou sir....🎉❤❤❤❤
Welcome dear💖💖
thank you soo much sir this chapter is now very very easy for me by watching your video lecture
Very nice dear
Thanks sir for this phenomenal lecture ❤️
Welcome dear
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
49:32 sir (a,b) belongs to NXN hoga kyonki hum Relation on NxN kar rahe hai….maine verify kiya
To dear Maine wrong kha likha hai ye btao
49:58 yaha par (a,b) R (a,b) hona chahiye .
Please correct me if I am wrong
@@rajmaurya4721 Ye bhi thik hai dear
Elements kisi bhi form me le sakte hai
Appreciate a lot thankyou sir
Welcome dear
Thank you 😊 so much sir 😊
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Thank you❤🌹🙏 sir
Welcome dear
Thanks 🙏🏻 🎉🎉
Welcome dear❤❤
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
Ye set per depend karta hai dear
Sabhi question same nhi hote
Thanks sir
Welcome dear
sir you are great
Thank you dear
Thanks sir ji
Welcome dear
Thanks sir 🙏
Welcome dear
Sir group me mathematics 1 ke notes send kr dijie
sir dstl ke notes bhi de dijiye please🙏🙏🙏🙏🙏🙏
DSTL Notes nhi hai dear mere pass
Thanks
Welcome dear
sir please also upload unit 2 lectures :)
Check playlist of module 2
All lectures are there
3 module is going on
@@dr.anuj.fearlessinnocentmath thank you so much sir
sir transitive same element pe check ni karte?
Ok
Sir 52:02 par cb=da hai to ye(c,d)R(a,b) kaise hua
By the given definition ❤
Sir agar reflexive symmetric and transitive ma pair ban rhe hai but sabhi ke sath nhi toh kya tab bhi relation equivalence hoga?
No dear
jaise (1,1) pr
complecated lacture but sitll nice🙂
Thank you dear
👏🏻👏🏻👏🏻
Thanks dear💖
4:50 sir
For all value of a,b,c belongs to A ya R?
Belongs to A dear
My mistake
@@dr.anuj.fearlessinnocentmath where sir ?
@@kartikeyashakya4272
4:50
@@dr.anuj.fearlessinnocentmath sir vahi to samjh nhi aa rha kaha pr time se pta nhi chl rha mujhe .
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
Yes less than equal me hoti hai ye property
Yes likh sakte hai
both greater than and equal sign me
Sir ye sare pdf kaha milenge
Dstl ke notes nhi hai dear
Ex 5 m, R = ~ kya name h iska sir ?
Tilde or tilda symbol
~
Sir yeh math 3 ka discrete structure unit 1 b kya
Yes, see the syllabus
Dear, same syllabus of module 3 math 3
Unit 1 h kya discrete structure .
Dear
Math 3 ka unit 3
and
Discrete ka module 1
almost same syllabus hai.
See the syllabus dear
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
Dear reflexive ki definition lagai hai maine
Base ko jano pehle dear
@@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 🙏🙏
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 😭
Ek ek video dekho shuru se
Notes bnao
Fir samjh aane lagega dear
Sir in question no2 you have forgot to solving the next part we have to prove it further.
In last, I done it
See dear
@@dr.anuj.fearlessinnocentmath yes sir I got it. 😀
😵💫
Thank you so much sir 🙏🙏🙏
Welcome dear