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

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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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Hame nhe lagata yesa or koye teacher pada payega thanks so much sir 🙏 👍 👏 😀 🙌 😊 🙏 👍

manmohansirclasses
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Thank you sir
You are the best teacher for all students
You provide free education of engineering students without taking fee❤❤❤

Manav-yx
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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

HarshKumar-ccpj
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Sir keep making videos Your subscription will grow

godofwar
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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 ❤

avinashkumar
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Thank you much sir for working hard for us 💞

abhisheksharma
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Thanks sir for this phenomenal lecture ❤️

FusionTechTube
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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...

amannawab
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thank you soo much sir this chapter is now very very easy for me by watching your video lecture

Langharboys
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49:32 sir (a, b) belongs to NXN hoga kyonki hum Relation on NxN kar rahe hai….maine verify kiya

rajmaurya
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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

hindutva
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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

abhii-fitness-world
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Sir example 6 me,
Equivalence relation ha ke nahi ye check karna ha, to phir sir
Example ke sath ise transitive prove nahi bhi kiya ja sakta hai kya .
Please explain 🙏

Flamemantra
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4:50 sir
For all value of a, b, c belongs to A ya R?

the_memer_bro_
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Sir 52:02 par cb=da hai to ye(c, d)R(a, b) kaise hua

Asad-ks
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Sir agar reflexive symmetric and transitive ma pair ban rhe hai but sabhi ke sath nhi toh kya tab bhi relation equivalence hoga?

kuldeepkumar-pmzf
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sir transitive same element pe check ni karte?

explorer
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Sir yeh math 3 ka discrete structure unit 1 b kya

Chamelisree
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1:04:31 Excuse me sir, yh
l a+b l=l a l+l b l 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

amitgangwar
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sir dstl ke notes bhi de dijiye please🙏🙏🙏🙏🙏🙏

sudhanshudixit