00:03 Group theory is the topic of today's revision in discrete mathematics. 02:13 Unit 4 covers algebraic structures and group theory. 06:22 Algebraic structures syllabus has changed since last year 08:26 Binary operations are crucial in algebraic structures 12:36 Representation of binary operation 14:46 Lesson on binary operations and group theory 18:33 Algebraic structure involves binary operations on sets 20:25 Binary operation on natural numbers explained 24:08 Understanding binary operations on real numbers 26:07 Understanding the closure property of binary operations 29:54 Checking for the associative property in Group Theory 31:56 Identity element and its properties 35:54 Introduction to properties and types of algebraic structure 37:48 Understanding algebraic structures and group theory 42:13 Group theory basics explained 44:16 Binary operations should satisfy closure property for group id 48:02 Exploring the algebraic structures of group theory 49:51 Proving natural numbers under multiplication form a group. 53:34 Associative property explained with examples 55:36 Closure property in semigroups 1:00:07 Understanding identity elements in algebraic structures 1:02:13 Properties of multiplication for natural numbers 1:06:33 Understanding Algebraic Structures and Group Theory 1:08:22 Identity and Inverse properties in algebraic structures 1:12:27 Different ways to write a set 1:14:37 Identity property in rational numbers 1:19:35 Understanding the concept of Binary Operation in algebraic structures 1:21:33 Verifying Avillion group properties 1:25:28 Algebraic structures and group theory explained with binary operations 1:27:13 Understanding the concept of identity property in algebraic structures 1:31:15 Algebraic structures and group theory explained 1:33:02 Group theory in algebraic structures and rational numbers 1:36:36 Proof that the set of all non-zero real numbers is the same as non-zero real numbers. 1:38:24 Understanding closure property in algebraic structures 1:42:14 Algebraic Structure: Group Theory Overview 1:44:01 Proofing group properties using binary operations 1:47:54 Understanding the properties of associative and identity element in group theory. 1:49:49 Introduction to algebraic structures and Group Theory. 1:53:32 Understanding algebraic structures and group theory 1:55:20 Understanding the concept of cube root of unity 1:59:11 Understanding Omega cube and its value 2:01:11 Closure property ensures that the result of a binary operation is also in the set. 2:05:16 Understanding group theory and algebraic structures 2:07:13 Composition table verifies the cut property 2:11:02 Understanding algebraic structures and group theory 2:13:00 Discussing properties of inverse and Comte property in algebraic structures 2:16:52 Group theory and closure property 2:18:43 Introduction to Algebraic Structures in Group Theory 2:22:35 Understanding the algebraic concepts in group theory 2:24:32 Understanding addition and multiplication module 2:28:34 Understanding Binary Operations in Group Theory 2:30:26 Group theory properties and algebraic operations explained with examples. 2:34:23 Introduction to Group Theory and Algebraic Structures 2:36:09 Understanding the closure property and its importance in group theory. 2:39:50 Understanding the order of an element in group theory 2:41:45 Understanding the order in Algebraic Structures and Group Theory 2:45:21 Binary operations and identity in algebraic structures 2:47:24 Understanding order and identity in group theory 2:51:12 Cancellation law ensures that marks will be deducted if not followed. 2:52:55 Proving the uniqueness of the identity element in a group 2:56:38 Proving the property of reversing elements in a group 2:58:22 Explaining the associative law and its application in group theory. 3:02:02 Proving A and B inverses equal to e 3:04:03 Understanding inverses and properties of groups 3:07:51 Group theory is important in algebraic structures 3:09:38 Introduction to group theory 3:13:13 Understanding group and sub-group concepts 3:15:13 Understanding the conditions for forming a subgroup 3:19:47 Explaining the concept of subgroups within algebraic structures 3:21:37 Proving a group using necessary and sufficient conditions 3:25:24 Proof of subgroup theorem in group theory 3:27:19 Understanding subgroup and group operations 3:31:11 Proof of the intersection of two subgroups in group theory 3:32:59 Understanding identity element and intersection in algebraic structures.
One Shot Pdf Notes available in App for free ...play.google.com/store/apps/details?id= DSTL One Shot Playlist ua-cam.com/play/PL-vEH_IPWrhCPAROlXILsozAUKe3WnNGY.html&si=ht3KALwjY0SlNnMr
Sir notes video ke bad share kar diya kijiye taki hmlog ka preparation or next level pe jaye and thanks for such type of love provide from your platform its much better than college ❤
Sir one shot achha hai maine pahli baar dekha aaj Lekin mujhe permutation ke product me doubt hai fog me kai jagah product jaisa aapne kia hai waisa hai and kai jagah pahle g ka element dekhte hain fir f ka dono me alag alag permutation banta hai to kon sa sahi hoga? Ya dono sahi mana jaayega (fog)x=f{g(x)}=f(y)
Excluding 0 from rational number , doesn't make it division a group, because there will be still some number which can make it irrational like 1/3 , don't do such silly mistakes
00:03 Group theory is the topic of today's revision in discrete mathematics.
02:13 Unit 4 covers algebraic structures and group theory.
06:22 Algebraic structures syllabus has changed since last year
08:26 Binary operations are crucial in algebraic structures
12:36 Representation of binary operation
14:46 Lesson on binary operations and group theory
18:33 Algebraic structure involves binary operations on sets
20:25 Binary operation on natural numbers explained
24:08 Understanding binary operations on real numbers
26:07 Understanding the closure property of binary operations
29:54 Checking for the associative property in Group Theory
31:56 Identity element and its properties
35:54 Introduction to properties and types of algebraic structure
37:48 Understanding algebraic structures and group theory
42:13 Group theory basics explained
44:16 Binary operations should satisfy closure property for group id
48:02 Exploring the algebraic structures of group theory
49:51 Proving natural numbers under multiplication form a group.
53:34 Associative property explained with examples
55:36 Closure property in semigroups
1:00:07 Understanding identity elements in algebraic structures
1:02:13 Properties of multiplication for natural numbers
1:06:33 Understanding Algebraic Structures and Group Theory
1:08:22 Identity and Inverse properties in algebraic structures
1:12:27 Different ways to write a set
1:14:37 Identity property in rational numbers
1:19:35 Understanding the concept of Binary Operation in algebraic structures
1:21:33 Verifying Avillion group properties
1:25:28 Algebraic structures and group theory explained with binary operations
1:27:13 Understanding the concept of identity property in algebraic structures
1:31:15 Algebraic structures and group theory explained
1:33:02 Group theory in algebraic structures and rational numbers
1:36:36 Proof that the set of all non-zero real numbers is the same as non-zero real numbers.
1:38:24 Understanding closure property in algebraic structures
1:42:14 Algebraic Structure: Group Theory Overview
1:44:01 Proofing group properties using binary operations
1:47:54 Understanding the properties of associative and identity element in group theory.
1:49:49 Introduction to algebraic structures and Group Theory.
1:53:32 Understanding algebraic structures and group theory
1:55:20 Understanding the concept of cube root of unity
1:59:11 Understanding Omega cube and its value
2:01:11 Closure property ensures that the result of a binary operation is also in the set.
2:05:16 Understanding group theory and algebraic structures
2:07:13 Composition table verifies the cut property
2:11:02 Understanding algebraic structures and group theory
2:13:00 Discussing properties of inverse and Comte property in algebraic structures
2:16:52 Group theory and closure property
2:18:43 Introduction to Algebraic Structures in Group Theory
2:22:35 Understanding the algebraic concepts in group theory
2:24:32 Understanding addition and multiplication module
2:28:34 Understanding Binary Operations in Group Theory
2:30:26 Group theory properties and algebraic operations explained with examples.
2:34:23 Introduction to Group Theory and Algebraic Structures
2:36:09 Understanding the closure property and its importance in group theory.
2:39:50 Understanding the order of an element in group theory
2:41:45 Understanding the order in Algebraic Structures and Group Theory
2:45:21 Binary operations and identity in algebraic structures
2:47:24 Understanding order and identity in group theory
2:51:12 Cancellation law ensures that marks will be deducted if not followed.
2:52:55 Proving the uniqueness of the identity element in a group
2:56:38 Proving the property of reversing elements in a group
2:58:22 Explaining the associative law and its application in group theory.
3:02:02 Proving A and B inverses equal to e
3:04:03 Understanding inverses and properties of groups
3:07:51 Group theory is important in algebraic structures
3:09:38 Introduction to group theory
3:13:13 Understanding group and sub-group concepts
3:15:13 Understanding the conditions for forming a subgroup
3:19:47 Explaining the concept of subgroups within algebraic structures
3:21:37 Proving a group using necessary and sufficient conditions
3:25:24 Proof of subgroup theorem in group theory
3:27:19 Understanding subgroup and group operations
3:31:11 Proof of the intersection of two subgroups in group theory
3:32:59 Understanding identity element and intersection in algebraic structures.
4:01:58 Lagrange theorem
Gulshan sir ka content humesha top notch rehta hai
One Shot Pdf Notes available in App for free ...play.google.com/store/apps/details?id=
DSTL One Shot Playlist
ua-cam.com/play/PL-vEH_IPWrhCPAROlXILsozAUKe3WnNGY.html&si=ht3KALwjY0SlNnMr
One Shot Pdf Notes available in App for free ...play.google.com/store/apps/details?id=co.white.mvxiz
The reason why Gulashan sir is a great teacher is that he not only teaches us , but guides us too
Thanks sir for uploading this unit and please uploaded next 3,2,1 unit one sort as soon as possible ❤
Yess
Eagerly ,i am waiting for this lecture.
thank you ! sir.
📖 Keep Learning 🎉 and Keep Sharing 😊
Sir dil se dhanywaad iske liye 😊🙏❤️🙏
Mujhe laga ab nhi aayegi one shot , but finally aa hi gya🥹
📖Keep Learning 🎉 and Keep Sharing 👍
Sir unit 2 kab aayegi @@gatewayclasses
@@gatewayclasses sir plz unit 1 and 2 in DSTL plz sir 😅😅
Yes sir please unit 1&2 ke one short daal dijiye
Kl@@juli704
Well explanation sir ❤👍🏻
Thanks and welcome
Thank thank sir you are number one teacher in the world ❤❤❤
📖 Keep Learning and Keep Sharing 😍
Very helpful video sir 🙏🏻
Keep watching and Keep Sharing
Thank You sir♥........... pls also upload one shot of unit 2 and 1 ASAP
📖 Keep Learning 🎉 and Keep Sharing 😊
😊😊😊😊😊😊 thank you sir 😊
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Thanks sir ❤❤
Thank You sir!! Please upload the one shots of rest of the units too.....
Keep Learning 🎉 and Keep Sharing 😊
Sir finally aa gai 😇😇
Keep Learning 🎉 and Keep Sharing 😊
thak you so much sir ❤
Thank you sir your way of teaching is very nice
Gateway classes running due to Gulshan sir only
Gateway classes one shot videos are best ❤❤, waiting for unit 3 😅😅
Bahut mast padhate h sir aap ❤😊
Unit 3 bhi chahiye sir please wo like kare
Sahi hai
Thanks sir aapne bahut hardwork kia hai hum logo ke liye thanks dil se aapko sir. ❤
exact like innocent fearless maths
Thank you so much sir 🙏
Keep Learning 🎉 and Keep Sharing 😊
Much neededd...Thanks..💙🥀
You are so welcome
Sir aur unit kara dijiye please sir unit 1,2 please 😢
3:37:00 cyclic group
Also Sir please Upload all chapter oneshot Asap.
sir please also upload dstl unit 5 video
Sir notes video ke bad share kar diya kijiye taki hmlog ka preparation or next level pe jaye and thanks for such type of love provide from your platform its much better than college ❤
Thanks sir
This support means a lot to me
Sir please send maths and dstl pending oneshot also as exams are going to start from 26
All the best
Really appreciate the effort he puts into his lectures.such a great teacher
Sir your are great teacher
Your videos very interesting and helpful all students
Love you sir
thank you so much sir
Most welcome
Sir one shot of dstl unit 3 also uploaded this channel
Sir please unit 5 ki bhi UA-cam par video daal dijeye
BHAI 10 MAHINE SE PADI H YT PE
Please next cover the Unit 1 DSTL 🙏🙏
sir, It is a humble request to please add time stamps for different topics.
Thank you so much 🙏 sir
Very useful video ✨
All the best
Thank you so much sir ❤❤
Think you sir bahut wait kya
Sir one shot achha hai maine pahli baar dekha aaj
Lekin mujhe permutation ke product me doubt hai
fog me kai jagah product jaisa aapne kia hai waisa hai and kai jagah pahle g ka element dekhte hain fir f ka dono me alag alag permutation banta hai to kon sa sahi hoga?
Ya dono sahi mana jaayega
(fog)x=f{g(x)}=f(y)
Please firstly cover the Unit 1 DSTL
Poset and hass diagram is difficult to understand...
Please make on it ..🙏🙏
Next video unit 2 par banaye
Sir m4 ke saare upload kardijiye phle kuonki wo sabki kr me common hai please saare units
Excluding 0 from rational number , doesn't make it division a group, because there will be still some number which can make it irrational like 1/3 , don't do such silly mistakes
sir data structure ki 3rd unit one short apload kardo please 🙏🙏🙏 please
sir pls DAA ki bhi lecture available kara dijiye
Agar abhi tak kuch nahi padha ho is unit main and If I watch this 5 hour One shot for this unit 4 , is it sufficient for the semester exam.
Sir unit 1and 2 bhi jldi upload kr dijey..
Sir please upload math's 4 one shot 🙏
Sir Electrical Measurements Instrumentation ke one' short kb tak aayega sir please
Unit -1 kar diya
Sir please upload all subjects one shot please sir 🙏🙏
SIR NOTES UPLOAD KRDIJIYE AS SOON AS POSSIBLE
plz sir waiting from many days pr aap upload he nhi r raha h bs aapka bhrosa hu
sir dstl kab tak complete ho jayegi (approx)so that we can plan our prep
Sir data structure one short unit 3 please 🙏🙏❤
Very soon
Voice ky krna hai ..lipsync smjhni h kya
Keep Learning 🎉 and Keep Sharing 😊
sir please start linear transformation
Lgta hai ab m4 ki video nhi aaegi bs 2 hi chapter hua h
Sir jaldi se 3rd unit ka bhi upload kr dena sir
📖 Keep Learning 🎉 and Keep Sharing 😊
sir please upload unit 1st one sort of dstl
Sir please unit -5 upload kar dijiye ga
Sir feb last tak sare one shot kara dijiye 😊
sir 2nd unit also pls
Sir please upload Maths 4 unit 5 one shot
One hope ...GW ❤
Gulshan sir please maths 4 ka bhi ley aao
Sir Upload next units ASAP
Sir please provide all unut because it is very necessary 🥺🥺🥺
sir unit 5 ki video nahi mil rhi wo hidden hai please use provide kijiye
Good evening sir
Jaise teesra unit ka aapane dala hai please 🙏🙏🙏🙏 sir aapki ATI kripa hogi sar
Sir maths 1 ka unit 3rd ( differential calculus -2 ) ka one shot upload krwaye plzzz ...
Next vedio on Algebraic structure plx
❤❤❤
Sir bachi hui unit jaldi se upload kariye
Sir unit 1 or 2 bhi please jaldi krwa dijiye
Sir please dsa ka unit 1 ka one shot please sir
Sir please upload notes Also
Maths 4 ka one shot upload kar do sir
Sir ab data structure ka bhi one shot de do 🙂
Voice clear aa rhe h mere mein❤
Keep Learning 🎉 and Keep Sharing 😊
Sir unit 3 ka one shot upload kr dijiye
Voice nhi aa rha hai😭
Refresh karo...
Nhi aa ra sir
Nahi aa raha h sir@@gatewayclasses
What's app group invitation link nhi chal rhi h
Ok
@@gatewayclasses new link to dedo
Sir maths 4 ki v one shot aage ka daal do jldi please
Sir please unit 2 ka upload kijiye one shot paper najdik aa gya h😢
sir transdental function or definte integral padha sakte ho kya pls ek hi video mai agle mahine paper hai 2 back aagya hai maths mai sir pls help
Sir nxt unit kab aayega ab darr lag raha hai
Bahut jaldi upload kr diye sir.. 💀
Kal PUT h dstl ka..
Or video me audio ni Aa ra h..
Sir please upload unit 5 please sir
Sir aap ki voice kyu nahi aa rahi
Keep Learning 🎉 and Keep Sharing 😊
Sir Kar li Pr Nahi aa rahi
Sir jaldi jaldi video dalo please❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Sir plz all unit jaldi complete kara di jiye ✅
Keep Learning 🎉 and Keep Sharing 😊