2.25 | Lattice in Discrete Mathematics

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  • Опубликовано: 9 ноя 2024

Комментарии • 472

  • @rishabhattri6055
    @rishabhattri6055 6 лет назад +254

    What you taught in 10 mins my teacher can't do it in one hour.
    Respect Sir

    • @kevins8850
      @kevins8850 4 года назад +2

      @@saurabhmishra4582 🤣🤣

    • @ashutosh8644
      @ashutosh8644 4 года назад +2

      @@saurabhmishra4582 😄😄😄😄😂😂

    • @kanchanslathia9650
      @kanchanslathia9650 4 года назад +1

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      SID JAMWAL.
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      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
      I only follow you and draco Bhaiya only.Bhaiya season 6 se khal rha hou but kbhi bi Roy's pass nai le pya due to lack of money...
      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
      I only follow you and draco Bhaiya only.Bhaiya season 6 se khal rha hou but kbhi bi Roy's pass nai le pya due to lack of money...
      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
      I only follow you and draco Bhaiya only.Bhaiya season 6 se khal rha hou but kbhi bi Roy's pass nai le pya due to lack of money...
      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
      I only follow you and draco Bhaiya only.Bhaiya season 6 se khal rha hou but kbhi bi Roy's pass nai le pya due to lack of money...
      My pubg ID-id...547162593
      & character name is-
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    • @kanchanslathia9650
      @kanchanslathia9650 4 года назад +1

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      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
      I only follow you and draco Bhaiya only.Bhaiya season 6 se khal rha hou but kbhi bi Royl pass nai le pya due to lack of money...
      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
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      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
      I only follow you and draco Bhaiya only.Bhaiya season 6 se khal rha hou but kbhi bi Roy's pass nai le pya due to lack of money...
      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
      I only follow you and draco Bhaiya only.Bhaiya season 6 se khal rha hou but kbhi bi Roy's pass nai le pya due to lack of money...
      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
      I only follow you and draco Bhaiya only.Bhaiya season 6 se khal rha hou but kbhi bi Royl pass nai le pya due to lack of money...
      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
      I only follow you and draco Bhaiya only.Bhaiya season 6 se khal rha hou but kbhi bi Royl pass nai le pya due to lack of money...
      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
      I only follow you and draco Bhaiya only.Bhaiya season 6 se khal rha hou but kbhi bi Roy's pass nai le pya due to lack of money...
      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
      I only follow you and draco Bhaiya only.Bhaiya season 6 se khal rha hou but kbhi bi Roy's pass nai le pya due to lack of money...
      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
      I only follow you and draco Bhaiya only.Bhaiya season 6 se khal rha hou but kbhi bi Roy's pass nai le pya due to lack of money...
      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
      I only follow you and draco Bhaiya only.Bhaiya season 6 se khal rha hou but kbhi bi Roy's pass nai le pya due to lack of money...
      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
      I only follow you and draco Bhaiya only.Bhaiya season 6 se khal rha hou but kbhi bi Roy's pass nai le pya due to lack of money...
      My pubg ID-id...547162593
      & character name is-
      SID JAMWAL.
      I only follow you and draco Bhaiya only.Bhaiya season 6 se khal rha hou but kbhi bi Roy's pass nai le pya due to lack of money...
      My pubg ID-id...547162593
      & character name is-
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  • @yash_soni7
    @yash_soni7 6 лет назад +119

    Thank you sir for saving our semester!!!

  • @venkateshdate9037
    @venkateshdate9037 7 лет назад +63

    May god give you......everything you want.

  • @debalinabiswas6086
    @debalinabiswas6086 3 года назад +4

    can't really express my gratitude towards ur teaching style. though it's hindi it didn't caused a single problem for my understanding. you did things that even IIT teachers couldn't do to me. really you deserve to be in unacademy for a reason. i am following your whole playlist of set, now relation. i couldn't comment on each videos. but I'll do as soon as i complete your whole discrete math course. you just cleared my whole head

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  3 года назад +3

      Thank you so much Debalina for your wonderful feedback. It gives motivation to make more videos and to reach more and more students. Do visit our website also, www.knowledgegate.in for more courses and contents. Keep learning and supporting !!

  • @prashantlakhanpal7375
    @prashantlakhanpal7375 4 года назад +7

    Dear Sanchit, This 12 mins video was really very helpful. I was totally confused how to find if a structure is a Lattice, I had been struggling for the whole day. But after watching this video I am confident about the Lattice concept. Thanks you.

  • @crazeeealgorithms3236
    @crazeeealgorithms3236 5 лет назад +42

    'NOTHING IS PERFECT IN THIS WORLD' who told this, tell him that Sir's lectures are PERFECT.

  • @parthchadha2048
    @parthchadha2048 4 года назад +14

    may God give you
    .
    .
    .
    .
    .
    .
    .
    .
    Everything you want!

  • @shalinirai6314
    @shalinirai6314 6 лет назад +13

    When I was in btech..
    I found lattice was most difficult for me. But now it seems most easy..
    Thanks a lot sir..

  • @ankushsingh0
    @ankushsingh0 6 лет назад +17

    Bahut Achchha Sir.. 👌
    Aapki Jitni Tareef ki Jaaye utni Kam hai...

  • @VivekPandey-go4jo
    @VivekPandey-go4jo 5 лет назад +6

    Respected sir
    Your explanation way is on next level.
    The you taught to student is fabulous.and it hits last bancher also.
    Thanking you sir.

  • @tanujsh6385
    @tanujsh6385 7 лет назад +69

    Mitro! Phele like Kiya Kro phir dekha Kro. Lubb uuh sir ji😘

  • @ShantanuDwivedi1996
    @ShantanuDwivedi1996 6 лет назад +11

    100% efficiency in first attempt. Really helped clearing the concept

  • @niloykundu5946
    @niloykundu5946 7 лет назад +8

    Thanks is a little word for you sir.. I respect you sir very much for this tireless great effort... I salute u sir. 👍👍👍

  • @nihaltahariya8858
    @nihaltahariya8858 7 лет назад +16

    Your teaching style is phenomenal sir , Hats off

  • @abhijithowal9025
    @abhijithowal9025 6 лет назад +3

    People like you deserve more subscribers. !

  • @poojasahani7206
    @poojasahani7206 5 лет назад +18

    jo pure sem nh smjh aya 10 min m aa gya😘😘😘😘

    • @Sachin-js6jh
      @Sachin-js6jh 3 года назад +2

      ek baar bhi class attend kiya tha??????😣😣😣

    • @shorttroll239
      @shorttroll239 2 года назад +1

      OP 🤣😂

  • @doggoroni_
    @doggoroni_ 6 лет назад +4

    Please upload English versions, I love your teaching but I'll be out of college by the time I learn Hindi!

  • @vempatikavya4181
    @vempatikavya4181 2 года назад +1

    Ur the only one who explain better ...respect for u sir ...thankyou so much sir

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  2 года назад

      Thanks a lot dear Kavya, keep learning & supporting !! Do visit our website www.knowledgegate.in for more courses & contents !!

  • @harshitraj8409
    @harshitraj8409 4 года назад +2

    Successfully solved all without seeing solution. Thanks sir for best tutorials

  • @ktcreation.2868
    @ktcreation.2868 6 лет назад

    you are in the right way ......you r a teacher ..a real teacher

  • @edge123276
    @edge123276 7 лет назад +7

    Thank you sir, please upload decidability, algorithms and data structures , graph theory

  • @amanarizvi786
    @amanarizvi786 7 месяцев назад +2

    Thanku very much sir! Your all videos are very helpful for me

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  7 месяцев назад +1

      Am glad to know this Aman. Keep learning & stay connected for more useful content😊

    • @amanarizvi786
      @amanarizvi786 7 месяцев назад

      @@KNOWLEDGEGATE_kg sure sir ☺️

  • @priyanshu0122
    @priyanshu0122 6 лет назад +6

    Whenever i see ur video. I first like it and then see the video.
    Coz its awms.
    This is awsm.🙌🙌

  • @vinayaksharma-ys3ip
    @vinayaksharma-ys3ip 3 года назад +1

    This video is a one-stop for understanding lattice......thank you so much Sir

  • @sahilgupta1783
    @sahilgupta1783 Год назад +2

    Thank you so much sir, I can't express what you have done for all students. You are like god to us in teaching. The way you explain each every detail of the concepts no one can do it .❤❤❤❤❤❤❤❤🥰🥰🥰🥰🥰🥰

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  Год назад +1

      Thank you so much dear for your valuable feedback & kind words, stay blessed ❤ keep learning & supporting! You can also check out our course for all Computer Science subjects, sharing the link below:
      www.knowledgegate.in/learn/Zero-to-Hero-in-Computer-Science

  • @harishk2209
    @harishk2209 5 лет назад +1

    I don't know Hindi...But I understood the concept...hats off,Sir!

  • @krishgoogol8653
    @krishgoogol8653 3 года назад +1

    Thank you sir even though I didn't know Hindi I understand ur class and helpful for my Internals

  • @MdSaddam-sg6jq
    @MdSaddam-sg6jq 2 года назад +2

    Sir aapne to dil jeet liya

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  2 года назад +1

      Thanks a lot dear, keep learning & supporting !! Do visit our website www.knowledgegate.in for more courses & contents !!

  • @ajaysinghsisodiya2316
    @ajaysinghsisodiya2316 4 года назад

    sir your teaching fabulous... after 1 to 2 example i understood lattice and then solve all posets myself and then check all are right

  • @akanshachoudhary3906
    @akanshachoudhary3906 4 года назад +1

    Wonderful explanation
    Sir modular lattice also explain

  • @ArvindKumar-lh3tw
    @ArvindKumar-lh3tw 5 лет назад +2

    you are doing great job sir .its too hard to find good teachers like you

  • @harmansaini256
    @harmansaini256 3 года назад +2

    Finally done! Thank you so much sir. It helped me alot and I'll surely suggest your channel to my juniors. Thanks again for these helpful videos 🙏

  • @Jaii_shree_Ram
    @Jaii_shree_Ram 4 года назад +1

    These many examples only you can provide while teaching ❤️when you say us to pause the video and we listen you ❤️ and the happiness of correct answer comes because of your explanation only 🙏

  • @mohdalim77
    @mohdalim77 4 года назад +1

    Sir, What are transitive edges in these lattices?

  • @anbor7778
    @anbor7778 4 года назад +3

    thanks for your efforts, means a lot🤟🏻

  • @Btechlife3
    @Btechlife3 Месяц назад

    01:30 A lattice is a poset that is both meet semilattices and join semilattices.
    03:00 Lattice in Discrete Mathematics
    04:30 Lattice cannot have a join for elements A and B because they do not have an upper bound.
    06:00 The structure discussed is a lattice
    07:30 D and E does not have a greatest lower bound
    09:00 Lattice is a structure that requires both join and meet operations.
    10:30 Lattice in Discrete Mathematics
    12:00 The video provides examples of lattice from previous year questions and other competitive exams.

  • @sagarchowdhury4u
    @sagarchowdhury4u 7 лет назад +5

    thanks sir for this wonderful topic which i requested for ,may god bless you sir

  • @muditgupta8813
    @muditgupta8813 3 года назад +3

    Awesome content, u taught 10 min and made me understood lattice so well, hattsoff to u sir i subscribe ur channel u deserve

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  3 года назад +2

      Thank you so much @Mudit , visit www.knowledgegate.in for more helpful content and courses.👍

  • @pradeepkumarsingh6964
    @pradeepkumarsingh6964 5 лет назад +2

    Sir ur way of explaining topics are really awesome, thnk u

  • @sikandersaini8648
    @sikandersaini8648 4 года назад

    Sir u r god for engineers
    Our teacher is unable to clear our doubts
    Thank u sir 🙏🙏🙏

  • @mayank_official8975
    @mayank_official8975 6 лет назад +1

    Indias best teacher

  • @HasanAli-fn2rf
    @HasanAli-fn2rf 3 года назад +1

    It is not only perfect but also more than that. Just mond blowing

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  3 года назад

      Thanks a lot Hasan.. Keep learning and supporting !! Do visit our website www.knowledgegate.in for more courses & contents !!

  • @Vishalk_mandal
    @Vishalk_mandal 4 года назад

    (7:13-7:17) ,sakal dekh k samjh aa rha h,isme koi lakshan hi nahi hain,lattice hone ke.......super line......👌🕴️

  • @538345
    @538345 6 лет назад +3

    Amazing work!

  • @shwetanksrivastava9848
    @shwetanksrivastava9848 6 лет назад +3

    Sir, thank u for posting these videos... We students really appreciate this, many students might just not comment about u but trust me all of us know that Ur way of making us understand the concepts is so good that we never forget it.

  • @tapaskumarsahu9698
    @tapaskumarsahu9698 4 года назад +1

    Loved ur lectures sir❤️🙏

  • @dubeyd5384
    @dubeyd5384 6 лет назад

    U r best in discrete maths in all prof.

  • @silkygupta5997
    @silkygupta5997 6 лет назад

    Hello sanchit sir..
    Recently I have started to watch ur videos due to my problem in discrete mathematics.....and seriously....now I don't think so that anyone can teach me this subject except you.....!!!!😄😄😄thnqq..so..much sir....☺

  • @Rggj-pu1f
    @Rggj-pu1f 4 года назад

    You are the best teacher in world

  • @shrutipatil246
    @shrutipatil246 Год назад +2

    A big big big thankyou sir ...i was searching for almost 5-7 hourse for perfect lattice concept video ...and i got this one ....thnku ...I'll be able to attempt tomorrow's lattice question which would come for my insems just because of you ....🫡

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  Год назад

      Glad it's helpful❤ Thanks a lot for your valuable feedback, keep supporting & stay connected for more amazing contents 👍😊
      You can also check out our course for all Computer Science subjects, sharing the link below:
      www.knowledgegate.in/learn/Zero-to-Hero-in-Computer-Science

  • @DevCrafters.
    @DevCrafters. 2 года назад +1

    Very very thanks from bottom of my ❤️❤️ for this excellent video. I will definitely used your content for my gate as well as aktu exam

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  2 года назад

      You're most welcome dear Pranjal ❤️ Prepare well, all the best, keep learning & supporting !! Do visit our website www.knowledgegate.in for more courses & contents !!

  • @pulkitgupta1946
    @pulkitgupta1946 6 лет назад

    sach me sir mazaa aa gaya puri series dekhkar

  • @sanskrutijena3628
    @sanskrutijena3628 3 года назад +1

    Thanks for your effort sir...your teaching style is outstanding

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  3 года назад +1

      You're most welcome dear Sanskruti, keep learning and supporting !! Do visit our website www.knowledgegate.in for more courses and contents !!

  • @apurvapete3800
    @apurvapete3800 4 года назад +1

    Amazing way of explaining ❤️

  • @rishabdon6008
    @rishabdon6008 3 года назад +1

    very good teaching

  • @amanbasor9673
    @amanbasor9673 4 года назад +1

    Thanks a lots sir ,it helped me a lot,also I have watched al your discrete mathematics lectures

  • @arjubanupathan4421
    @arjubanupathan4421 3 года назад +1

    Thank you so much sir 😊

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  3 года назад +1

      Most welcome Arjubanu.. Keep learning and supporting !! Do visit our website www.knowledgegate.in for more courses and contents !!

  • @tarundhiman5011
    @tarundhiman5011 4 года назад

    at 9:36 the greatest lower bound of {f,g} will be (a,b) and hence a lattice Please Correct me if i am right

  • @knowledgebharat119
    @knowledgebharat119 3 года назад +1

    Sir ji ek dam rta dete hai app 👌🙏🙏🙏

  • @amrutaahir959
    @amrutaahir959 4 года назад +1

    Thank you soooooo muchhhhhh sir :):)

  • @AmandeepKaur-wk5ww
    @AmandeepKaur-wk5ww 3 года назад +1

    Thank you sir for a wonderful video , know I completely understand which hasse diagram is lattice or not

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  3 года назад +1

      Hi Amandeep.. good to hear that you understood the concept. Keep learning and supporting. Do visit our website www.knowledgegate.in for more courses and contents.

  • @SurajKumar-fr8ks
    @SurajKumar-fr8ks 3 года назад +3

    Massive respect for your work sir 🙏🙏
    Really helped a lot !

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  3 года назад

      Glad to hear that, For more courses and content visit tiny.cc/yt_kgwebsite👍

  • @rituparnapradhan8615
    @rituparnapradhan8615 4 года назад +1

    Very nice 👍👍👍

  • @kunaaal5
    @kunaaal5 6 лет назад +2

    Thank you much sir for all the videos.You are doing great 👍🏻 keep it up 🙏🙏

  • @avinashsingh6192
    @avinashsingh6192 6 лет назад

    Bahut aache sir..Maza aata hai sir padhne me,👊👊👊👊👏👏👏👏👍👍👌👌👌

  • @rishabhchauhan9535
    @rishabhchauhan9535 4 года назад

    Thank you Mr. Sanchit

  • @somenkuiri
    @somenkuiri 5 лет назад

    Really sir ji..you are doing great.....your teaching is amazing....

  • @OrangeGamingPubg
    @OrangeGamingPubg 7 лет назад +3

    Sir please make some videos about functions and types of functions

  • @_-ghost-_711
    @_-ghost-_711 5 лет назад

    In 2nd row, 5th poset, how it is a lattice as f and a has 2 upper bound that is d,e and there is no relation between d and e so no LUB(join) should exist...therefore it is not a lattice
    Correct me if I'm wrong

  • @livemylife1942
    @livemylife1942 3 года назад +1

    Wish you all the best and thank you soo much

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  3 года назад

      Thanks a lot dear Shreyas, keep learning & supporting !! Do visit our website www.knowledgegate.in for more courses & contents !!

  • @starboy_jb
    @starboy_jb 7 лет назад +6

    Need of videos for Isomorphism graph

  • @secretsorcerer
    @secretsorcerer 3 года назад +1

    Thank you very much sir
    Aap to haanf gye padate padate
    Dedication 💯💯

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  3 года назад

      Thanks a lot Aman.. keep learning and supporting. Do visit our website www.knowledgegate.in for more courses and contents.

  • @dimplemalik5442
    @dimplemalik5442 7 лет назад +3

    Your video is very good sir

  • @psky1979
    @psky1979 5 лет назад

    How easily You teach us.. Sir.. Really you are great.. Thanks a lot sir..

  • @RFV7HD
    @RFV7HD 5 лет назад +2

    *sir nice explanation love u sir ji made my day* 😍😘

  • @shalinisinha7709
    @shalinisinha7709 5 лет назад +3

    Thanks a lot sir.... I was really in need of video of this topic...., 😍🎊🤗

  • @Tonyservers
    @Tonyservers 4 года назад

    Ur explanation is very Nyc SIR.. i can easily understand things.. which r tough to learn.. i have seen many many videos tnqs for ur efforts❤️❤️❤️

  • @ghulammohiyuddin387
    @ghulammohiyuddin387 7 лет назад +2

    Thanks sir ....u r well explained all video lecture .

  • @akashgautam7524
    @akashgautam7524 5 лет назад +1

    Thanku so much. You give us a golden knowledge of lattice.

  • @chandumj5968
    @chandumj5968 4 года назад

    09:16
    join:-
    B= { f, g }
    upper bound = { f }
    lower upper bound = { f }
    meet :-
    B={ f, g }
    lower bound ={ a, c, b }
    greater lower bound = { a, c }
    ... f /\ g = { }
    then it is not a structured lattice
    if I am wrong please correct my solution, thank you sir 😊

    • @keshavgupta1853
      @keshavgupta1853 4 года назад

      Yes i was also thinking about that,I think we are correct.

  • @Alina-er9vv
    @Alina-er9vv 5 лет назад +2

    2nd row 5th diagram, considering upper bound for af, we have {d,e}. Since we dont have a relation defined between d and e, how can we say that either one of them is the least upper bound.
    Also, if visualized in 3D, arm adf might also come as equal to arm aef.
    Since we cant obtain least upper bound, should it not be classified as non-lattice?

  • @rahulghangas896
    @rahulghangas896 4 года назад

    Sir aap bahut achha padata ho

  • @shrutikamangalekar7628
    @shrutikamangalekar7628 5 лет назад

    Thnku you sir...Your teaching method is superb....Going well...With lots of thanks for beautiful guidance..

  • @562rhitik9
    @562rhitik9 3 года назад +1

    really liked the video so helpful.

    • @KNOWLEDGEGATE_kg
      @KNOWLEDGEGATE_kg  3 года назад

      Glad it was helpful! Keep learning and supporting. Do visit our website www.knowledgegate.in for more courses and contents.

  • @syedasadjameelzaidi7548
    @syedasadjameelzaidi7548 6 лет назад +1

    Very effected teaching keep on

  • @shanayaarora8914
    @shanayaarora8914 6 лет назад

    your teaching makes everything so easy

  • @gagananeja1862
    @gagananeja1862 5 лет назад

    Best teacher ever

  • @syamantakdutta596
    @syamantakdutta596 6 лет назад

    Sir you are the best...understood lattice in less than 30 mins ..all thanks to you ..:)

  • @Muskan-wi2zz
    @Muskan-wi2zz 5 лет назад +1

    thank u so much sir.just loving ur teaching way

  • @drk.shirisha4578
    @drk.shirisha4578 6 лет назад +2

    too good. So simply made for the readers

  • @AnkitKumar-rl7wo
    @AnkitKumar-rl7wo 4 года назад

    thanks sir for resolving all problems

  • @RamanKumar-oz7si
    @RamanKumar-oz7si 6 лет назад +1

    Great for quick revision. Thank you sir.

  • @sirgemahender6148
    @sirgemahender6148 6 лет назад +1

    Thanks a lot sir...gone through your series of videos a couple of days before my sem exam..

  • @piyushgupta-oi8xg
    @piyushgupta-oi8xg 5 лет назад +2

    All Concept Clear Sir
    Thank You

    • @AnujSingh-eq4vn
      @AnujSingh-eq4vn 5 лет назад

      All concept clear!
      Please explain the join and meet of DC pair in the first diagram of second Row....
      As per my understanding there is none...

    • @chandumj5968
      @chandumj5968 4 года назад

      @@AnujSingh-eq4vn
      a--b, a--c,
      b--d,
      c--d, c--f,
      d--e,
      f--e
      is this the question u mentioned???
      join:-
      B={d, c}
      upper bound = { d, e }
      lower upper bound = { d }
      meet:-
      B= {d, c}
      lower bound = { c, a }
      greater lower bound = { c }
      if I did wrong correct my problem :-)

  • @phaneendrakumar9227
    @phaneendrakumar9227 5 лет назад

    Sir, thank you for giving good examples. But 16th example what about two elements d and g? Sup(d,g) inf(d,g)

  • @venkateshdate9037
    @venkateshdate9037 7 лет назад +2

    Thank you ....much needed topic

  • @surjitsingh8353
    @surjitsingh8353 6 лет назад

    sir u r best teacher...

  • @prakritigupta5640
    @prakritigupta5640 4 года назад

    Sir ur videos are justt osome.... More respect to u👌👌👌👌

  • @Ramya-dw9mp
    @Ramya-dw9mp 5 лет назад

    Sir can you take classes in English because I don't know hindi and impressed with ur videos

  • @lavkushnema6971
    @lavkushnema6971 4 года назад

    Superb video . Thank you sir