Properties of Relations | Reflexive | Symmetric | Transitive | Anti-Symmetric | Asymmetric
DISCRETE STRUCTURES AND THEORY OF LOGIC
UNIT-1
SET THEORY, RELATIONS, FUNCTIONS AND NATURAL NUMBERS
DISCRETE MATHEMATICS
LECTURE CONTENT:
CARTESIAN PRODUCT A X A
RELATION / BINARY RELATION
TYPES OF RELATIONS
PROPERTIES OF RELATIONS
OPERATIONS ON RELATION
REFLEXIVE RELATION
IRREFLEXIVE RELATION
ANTI-REFLEXIVE RELATION
SYMMETRIC RELATION
ASYMMETRIC RELATION
ANTI-SYMMETRIC RELATION
TRANSITIVE RELATION
Properties of relations discrete math, reflexive symmetric antisymmetric 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
Пікірлер: 43
Sir keep going on
Your teaching way is very nice, please complete discrete mathematics series
@dr.anuj.fearlessinnocentmath
Жыл бұрын
Yes dear
@dr.anuj.fearlessinnocentmath
Жыл бұрын
Thank you 💕💕💕
Thank you so much sir ❤
@dr.anuj.fearlessinnocentmath
Ай бұрын
Welcome dear💖💖
Great done sir😊
@dr.anuj.fearlessinnocentmath
Жыл бұрын
Thank you dear
Thank u sir 🙏❤
@dr.anuj.fearlessinnocentmath
28 күн бұрын
Welcome dear💕💕💕
🙏🙏🙏🙏
What is the difference between reflexive and antiymmetric??
@dr.anuj.fearlessinnocentmath
8 ай бұрын
Dono ki definition likh do with example Jase video me bataya
Op sir
Thanks 🙏🙏🙏
@dr.anuj.fearlessinnocentmath
Жыл бұрын
Welcome dear
Thank you sir
@dr.anuj.fearlessinnocentmath
6 ай бұрын
Welcome dear💖
sir matlab asymetric reflexive jaisa kaaM karta hai?
@dr.anuj.fearlessinnocentmath
4 ай бұрын
No
Sir thank so much bahut help mil rhi.... But sir transitive relation me jo last example hai usme (3,4) and (4,3) yeh to (a,b) and (b,a) hi ho gaya naa.... But transitive me to (a,b) and (b,c) hota hai naa
@dr.anuj.fearlessinnocentmath
5 ай бұрын
Yes
@feelthemusic547
5 ай бұрын
@@dr.anuj.fearlessinnocentmath then sir (3,4) and (4,3) ko compare nhi karenge Naa phir to because isme to aRb and bRa hi ho rha hai
If a is related to b and b is not related to a and a is not equal to b Then sir it will be antisymmetric or not...
@dr.anuj.fearlessinnocentmath
Жыл бұрын
Dear, Condition for Antisymmetric is aRb & bRa =>a=b
@BiloggerBhaiya
Жыл бұрын
@@dr.anuj.fearlessinnocentmath yes sir it's true when ais related to b and vice versa also but if ais related to b and b is not related to b Then it implies that a is not equal to b Us also the definition of antisymmetric..hamne ec book me dekha hai is liye or collage me bhi bataya
sir i think asymmetric me x is equals to y nhi hota hai , mene books me padha hai apne galat bayata hai, only in anti symmetric me x is equal y is allowed
@dr.anuj.fearlessinnocentmath
9 ай бұрын
Aap Antisymmetry ki baat ker rhe ho ya asymmetry ki
@user-cc8dq8dx6d
9 ай бұрын
ANTI KI@@dr.anuj.fearlessinnocentmath
sir please proviide notes too !!!!! and sir transitive relation ka example 2 m agr order pair (3,4) na lekr (5,4) le to ye transitive ho rha h esa kyu sir ???? ab kese pta chalega transitive h ya niii ???
@dr.anuj.fearlessinnocentmath
Жыл бұрын
Agar koi condition ek pair se satisfy na ho or baaki sabhi se satisfy ho jaye to bhi transitive property satisfy nhi hogi. Ek hi point kafi hai kisi ko galat sabit karne ke liye
Sir apne Antisymmetric and Asymmetric dono same bta diye h
@AmanGupta-vn8zc
Жыл бұрын
Asymmetric me itself nahi aate h
@AmanGupta-vn8zc
Жыл бұрын
Yes Sir
Transitive relation:- Ex 2:- Let A= {3,4,5} And R= {(3,4),(4,3),(5,4),(5,3)} Sol:- (3,4) belongs to R, This (a,b) (4,5) doesn't belong to R (b,c) Simple:- Is it wrong method sir ???
@dr.anuj.fearlessinnocentmath
Жыл бұрын
I am not getting What do you want to ask
@ekanshgarg6924
Жыл бұрын
@@dr.anuj.fearlessinnocentmath sir ye puchna chata hai ki apne tranitive relation ke example 2 ko example 1 ki tarah kyu solve nahi kiya.
@dr.anuj.fearlessinnocentmath
Жыл бұрын
@@ekanshgarg6924 Matlab
@demigodtherapper483
Жыл бұрын
@@ekanshgarg6924 sir transitive relationship ke example 2 Mae Agar if we let a=3, b=4, C=5 then, ( 3,4) e R (a, b) (4, 5) e R (b, c) (3, 5) e R (c, a) Toh fir transtive relation hua na kyuki teeno conditions satisfied hai toh apne yeh kyu likha hai ki transtive ni hai
@0.01-rohitsingh8
Жыл бұрын
@@demigodtherapper483 same i am confused brother 🤔🤔🤔
Sir notes dedo discrete ke
@dr.anuj.fearlessinnocentmath
6 ай бұрын
Dstl ke notes nhi hai dear💖