Function in Discrete Mathematics | Types of Function | Classification of Function | One-one Onto

DISCRETE STRUCTURES AND THEORY OF LOGIC
UNIT-2
MATHEMATICS-3 (MODULE-4)
SET THEORY, RELATIONS, FUNCTIONS AND NATURAL NUMBERS
DISCRETE MATHEMATICS
LECTURE CONTENT:
CONCEPT OF FUNCTION
DOMAIN OF FUNCTION
CODOMAIN OF FUNCTION
RANGE OF FUNCTION
CLASSIFICATION OF FUNCTIONS
TYPES OF FUNCTIONS
ONE-ONE FUNCTION / INJECTIVE FUNCTION
MANY-ONE FUNCTION
ONTO FUNCTION / SURJECTIVE FUNCTION
INTO FUNCTION
BIJECTION / BIJECTIVE FUNCTION
ONE-ONE ONTO FUNCTION
ONE-ONE INTO FUNCTION
MANY-ONE ONTO FUNCTION
MANY-ONE INTO FUNCTION
REAL VALUED FUNCTION
IDENTITY FUNCTION
CONSTANT FUNCTION
FUNCTION AND THIER TYPES
Function in discrete mathematics examples, functions discrete mathematics playlist, one-one correspondence, relation and function.
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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
#mathematics3 #discretestructure #kcs303​

[@avinashkumar3809]

Sir ji आपका बहुत बहुत धन्यवाद जी । आपने math के सारे लेक्चर फ्री में दिए ह जी। आपकी वजह से ही मेरे math 1our math 2 मे अच्छे मार्क्स आ गए।आपके सब चीजे समझ में आ जाती ह। आपका बहुत बहुत thanku sir ji।❤

[@dr.anuj.fearlessinnocentmath]

Very nice dear ❤❤❤❤❤ & Most welcome🎉🎉🎉

[@Trend4ubro]

Sir ji adaab, your channel is life saving for me now i am more confident with my exam ,you are such a great teacher..

[@dr.anuj.fearlessinnocentmath]

Thanks dear💖💖

[@truthhaunt2590]

What a series of discrete mathe💕💕💕

[@dr.anuj.fearlessinnocentmath]

Thanks dear

[@sadhnachauhan7518]

Kitna achha padhate ho aap, just keep it up 👍👍👍👍

[@dr.anuj.fearlessinnocentmath]

Thanks dear💖

[@SuhailKhan-qq3dv]

Aallah apko or kamyabi de Aameen😊

[@dr.anuj.fearlessinnocentmath]

Thanks dear❤❤

[@ROBIN-HOOD--1212]

Thankyou sir because of you i scored very good CGPA 8 in my 1st year in both semester. Love from IIMT College greater Noida

[@dr.anuj.fearlessinnocentmath]

Excellent work dear💖💖💖

[@grunge1656]

Excellent explanation sir

[@dr.anuj.fearlessinnocentmath]

Welcome dear❤❤❤

[@rakeshgiri4465]

Sir you are superb

[@dr.anuj.fearlessinnocentmath]

Thanks dear💕💕💕💕

[@deepanshusaini4714]

Thank you Sir

[@dr.anuj.fearlessinnocentmath]

Welcome dear💖💖💖

[@Abhishekk7735]

Thanks sir 💙💙

[@dr.anuj.fearlessinnocentmath]

Welcome dear💖💖

[@shinobiworld860]

Thank you sir helping till nov 2024

[@dr.anuj.fearlessinnocentmath]

Welcome dear❤❤

[@rekhakansal8370]

Amazing lecture sir ..your videos helped me a lot..thank you soo much sir..

[@dr.anuj.fearlessinnocentmath]

Welcome dear

[@habiburrahman3212]

Sir aapne jo onto ka example diya usme 3 ka to preimage nhi ho raha then wo kaise onto ho raha (34:53)

[@dr.anuj.fearlessinnocentmath]

3 ka pre image root3 hoga kyonki vo real number hai

[@avinashkumar3809]

Real number me sirf integer number nahi aate । isliye preimage ban jaiga

[@Shubham-ri3vx]

Sir please also provide notes softcopy🙏🙏

[@Harikesh662]

32:34 sir positive real number hai to zero include nhi hoga so ae into hoga if non negative real number then zero include

[@avinashkumar3809]

Bro 0 include as a positive number

[@Harikesh662]

0 neither negative nor positive

[@avinashkumar3809]

@@Harikesh662 bhai 0 sayad positive number ki tarah lete h .kyuki maine bahut se que me use Kiya h our vo sahi bhi tha.

[@patanahi5]

Sir one shot bana dijiye सभी units ka

[@dr.anuj.fearlessinnocentmath]

Ok dear❤

[@chinmaykhemariya3816]

Thank you sir

[@dr.anuj.fearlessinnocentmath]

Welcome dear

[@ovesh_choudhary0]

Where I can get notes?

[@dr.anuj.fearlessinnocentmath]

Dstl ke notes nhi hai dear

[@amv_editz__7994]

33:22 ---------sir 3 ki mapping nhi hui...toh onto kse hua?

[@dr.anuj.fearlessinnocentmath]

Ho rhi hai dear 3 ki bhi mapping root 3 se Maine concept btya hai Infinite elements hai sabki mapping ho jayegi Or onto ko by definition bhi ker sakte hai tab bhi hogi

[@amv_editz__7994]

okay thank you sir@@dr.anuj.fearlessinnocentmath ☺

[@livecodealone]

thanks sir 😌

[@dr.anuj.fearlessinnocentmath]

Welcome deat

[@Ansh-y5q]

sir bina 1st unit kare unit 2 kar skte hai , ek fix pattern me karna hai hai jaruri toh nahi hai na

[@dr.anuj.fearlessinnocentmath]

Yes dear❤

[@Hanumanji246]

Thankyou sir

[@dr.anuj.fearlessinnocentmath]

Welcome dear

[@VaishaliUpadhyay-si2xt]

Sir ye new syllabus pr bassed h na?

[@dr.anuj.fearlessinnocentmath]

Yes dear

[@Hanumanji246]

Sir es unit ka pura vedio daal dijiye.

[@dr.anuj.fearlessinnocentmath]

Ye unit to already complete hai See playlist of Discrete structure and theory of logic dear

[@Brijeshkumar_14]

Thanks sir

[@amitgangwar5843]

Excuse me sir , agar types of functions aayga toh yhi 5 types likhenge na kahin kahin par 9 types hai but confusion hi raha hai ...marks toh nahi katenge na

[@dr.anuj.fearlessinnocentmath]

Agar types of function aaya to jitne aapko type aate hai likh dena Minimum 5

[@ayusharma11]

Sir aapne 2nd unit me ackermann function nhi kraya??????????

[@dr.anuj.fearlessinnocentmath]

I will upload

[@All_Round-Knowledge]

Sir can you please provide the PDF notes of the Units 🙏

[@dr.anuj.fearlessinnocentmath]

Pdf nHi hai dear❤❤

[@DivyanshBhardwaj-zm6fi]

Sir please new one shot start kar do please

[@dr.anuj.fearlessinnocentmath]

Ok dear❤❤

[@khalidachauhan7651]

Unit 3 bhi kra do ...

[@dr.anuj.fearlessinnocentmath]

Yes dear, very soon

[@karansingh-ck8qd]

Sir aapne kha ki domain ka every element codomain se uniquely connect hoga tabhi vo function hoga otherwise nhi fir type of function me asa ku ho rha h

[@dr.anuj.fearlessinnocentmath]

Explain kiya hai dear lecture me example se

[@karansingh-ck8qd]

@@dr.anuj.fearlessinnocentmath sir calculator use krna Sikha do please

[@dr.anuj.fearlessinnocentmath]

@@karansingh-ck8qd ok g

[@karansingh-ck8qd]

@@dr.anuj.fearlessinnocentmath sir kb tak

[@dr.anuj.fearlessinnocentmath]

@@karansingh-ck8qd Time per depend karta hai

[@wha752]

nice

[@dr.anuj.fearlessinnocentmath]

Thanks❤❤

[@Videos.Dairies-g4j]

Sir dSTL e mein one shot ban diye unit 1 k

[@dr.anuj.fearlessinnocentmath]

Abhi nhi dear

[@sanjaykumargta5534]

sir iske notes provide kr dijiye please

[@dr.anuj.fearlessinnocentmath]

Dear DSTL ke notes nhi hai

[@insulatormemes4147]

Sukriya sir

[@dr.anuj.fearlessinnocentmath]

Welcome dear

[@saifakhtar8611]

sir plz iska notes dedo ya link dedo noteska

[@dr.anuj.fearlessinnocentmath]

Dstl ke notes nhi hai dear💖

[@IndrawatiTripathi-ck8xe]

🎉

[@dr.anuj.fearlessinnocentmath]

💕💕❤

[@HappyMishra-r9t]

Jay Shree Ram

[@dr.anuj.fearlessinnocentmath]

Jay Shree Ram

[@kingkohli___1.5M]

Thank u sir❤

[@dr.anuj.fearlessinnocentmath]

Welcome dear❤❤