Reflexive, Symmetric, and Transitive Relations on a Set

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  • Опубліковано 14 гру 2024

КОМЕНТАРІ • 215

  • @soFrostyy
    @soFrostyy 5 років тому +346

    careful, he's a hero

  • @jacobjackson8619
    @jacobjackson8619 3 роки тому +79

    when you haven't studied for an entire year yet you pass the exam with the help of youtube teachers. amazing

  • @delealli9965
    @delealli9965 3 роки тому +63

    My professor spent two hours trying to explain this to my class and you explain it in 6 minutes. Amazing. Thank you.

  • @princeoppong1890
    @princeoppong1890 4 роки тому +91

    Always trust UA-cam if you wanna pass a test

  • @novelas3536
    @novelas3536 3 роки тому +72

    My professor is great. I love her lectures and the fact that she knows what she's talking about. However, I missed one and I had to find someone equally as great to teach me. Thanks man!

  • @lucasm4299
    @lucasm4299 6 років тому +155

    Just saved me from a fast 50 min lecture where my professor went over it like it was review.

  • @ysanipena3839
    @ysanipena3839 9 місяців тому +1

    you are clutching up and you have no idea! Professor was straight yapping for an hour and 15 minutes and in 5 minutes you just explained it perfectly!

  • @s.m.mhamny2790
    @s.m.mhamny2790 5 років тому +18

    If I have enough resources to visit and thank you, I'd definitely do that man without thanking in comments. The perfect vedio I found so far on youtube to learn relations is this. All three types of relations were came at once and the important part is it was so clear. Thank you for this unconditional help.

  • @ML-ek5ur
    @ML-ek5ur 6 років тому +33

    Incredibly concise and clear. Thank you!

  • @nishithbaravkar7549
    @nishithbaravkar7549 3 роки тому +2

    this is the best video on the internet about the topic

  • @peritjanaydemir2097
    @peritjanaydemir2097 6 років тому +293

    The sound of the pen kills me slowly

    • @Daniel.Jimenez
      @Daniel.Jimenez 6 років тому +5

      That sound of the pen gives me pleasure. BUT SERIOUSLY! Thank you for these videos!

    • @pablobiedma
      @pablobiedma 6 років тому +64

      better than indian accent videos tho

    • @jeffrey8770
      @jeffrey8770 6 років тому +8

      When people said 'math will end you' i didnt actually imagine it to be from a screeching pen

    • @expedition6731
      @expedition6731 5 років тому +3

      Perit Jan Aydemir I like it. It’s like some sort of ASMR

    • @Fega
      @Fega 5 років тому +1

      I came to type this. loool

  • @halo_582
    @halo_582 2 роки тому +2

    I know this video is old but man this guy did a great job. Its literally perfect, short to the point with a well articulated explanation and visuals to pair. love it thank you!!!

  • @GodknowsSibanda-sh9xf
    @GodknowsSibanda-sh9xf 8 місяців тому

    Yes sir! You’ve saved a soul from Zimbabwe 🇿🇼

  • @dhra09876
    @dhra09876 4 роки тому +6

    I can't thank you enough! You're out here saving my grades and I'm so glad i found your channel! :))

    • @DrTrefor
      @DrTrefor  4 роки тому +2

      You are most welcome!

  • @jay_ta708
    @jay_ta708 6 років тому +11

    so much better than my lecturer

  • @rudyj8948
    @rudyj8948 10 місяців тому

    Once again I find myself watching your videos for my class, and once again you fail to let me down.

  • @stargate4847
    @stargate4847 4 роки тому +5

    Dr. Trefor Bazett, you are honestly my professor right now since my Discrete Math professor does not explain anything at all and does not even want to solve any questions that I might have. Thank you for your video you have clarified all my questions.

    • @DrTrefor
      @DrTrefor  4 роки тому +2

      Thank you! I'm sorry you've been struggling with your actual professor, but glad I could help a bit:)

  • @epilepsyawareness
    @epilepsyawareness 4 роки тому +6

    For anyone interested in Category Theory as a foundation of Mathematics, this is an excellent video to use as a springboard. Prof. Trev would add a letter on the lines (like f or g) to represent the function that makes the line symmetric. Of course symmetric would be more commonly known as a function and its inverse.
    Category Theory is so abstract and generalized, that it includes Set Theory within it!
    If you understand that last sentence, then you would understand how profound that it is and you should look into some Cat. Theory.

  • @kairaramon9554
    @kairaramon9554 4 роки тому +3

    I usually don't write comments but this is very well explained. What a great video!

  • @lahiruudayanga5989
    @lahiruudayanga5989 6 років тому +15

    Damn ! The best explanation for set relations without any doubt.Thanks a lot Mr and keep up the good work

  • @nothenry6782
    @nothenry6782 2 роки тому +1

    Exam is in just over an hour. Ur saving me rn fam

  • @noahrubin375
    @noahrubin375 3 роки тому +5

    This is such great revision for me. Cheers

  • @zacnetic3103
    @zacnetic3103 6 років тому +14

    Thank you for your knowledge Calvin Harris

  • @hectorg362
    @hectorg362 5 років тому +18

    Thanks but at 5:54 you said "You can go directly from x to y". Shouldn't it be x to z?

  • @brunostudies
    @brunostudies 7 місяців тому

    You've explained this with such simplicity! Thank you so, so much!

  • @NairaBRDE
    @NairaBRDE 3 роки тому +1

    JESUS THANK YOU!!! Why are math professors so stupid to explain something so simple??? You saved the day. STOP DESTROYING THE BEAUTY OF MATH!!!

  • @Dum0Dore
    @Dum0Dore 2 роки тому

    the entire class didnt understand the lecturers explanation and he asked us to change our course lol,thanks for the clear explanation

  • @vivekm07
    @vivekm07 3 роки тому +4

    I find these videos very very helpful. I cannot thank enough.

    • @DrTrefor
      @DrTrefor  3 роки тому +3

      Glad you like them!

  • @zaccalvert7341
    @zaccalvert7341 7 місяців тому +1

    Why didn't I find you earlier?! Great clear explanations.

  • @AbdhulBasith-vr6ih
    @AbdhulBasith-vr6ih Рік тому +1

    ten outta ten, would come again 💯💯💯

  • @imtheprinz
    @imtheprinz 2 роки тому +1

    Outstanding quality of explanation

  • @السيدمحمداشفاقالرحمانبنطهالسقا

    Damn...!! Straight to the point.

  • @nevin3543
    @nevin3543 8 місяців тому +1

    Thank you, understood it first time

  • @darya5434
    @darya5434 11 місяців тому

    Well done professor , I really like your calm voice

  • @RuxerHusky
    @RuxerHusky 4 роки тому +2

    Thank you for the lesson!

    • @DrTrefor
      @DrTrefor  4 роки тому +1

      You’re most welcome!

  • @Jax-ke6jf
    @Jax-ke6jf 3 роки тому +1

    Thank you for the video! I had trouble understanding this concept until this video

  • @bsohn1197
    @bsohn1197 4 роки тому

    why i find this guy right now your explanation is just awsome

  • @shivanshu226
    @shivanshu226 3 роки тому +8

    He is teaching this to college students and here I am, had to study it in class 11 only.😭

  • @abirislam2879
    @abirislam2879 Рік тому

    Absolutely brilliant
    From Bangladesh

  • @JamesBrodski
    @JamesBrodski 3 роки тому +2

    Wow, what an amazing video. Thank you so much. Very helpful!

    • @DrTrefor
      @DrTrefor  3 роки тому +3

      Glad it was helpful!

  • @mohameddoudou3285
    @mohameddoudou3285 5 років тому +3

    big thanks for you, you've helped me with transitive as well

  • @naveenr4153
    @naveenr4153 4 роки тому

    You just earned a fan from India! 🤙

    • @naveenr4153
      @naveenr4153 4 роки тому

      @@DrTrefor I feel like your channel is very underrated! I checked your channel and you've got some good stuff brother!

  • @JacobIX99
    @JacobIX99 Рік тому

    Short and concise! Thank you!

  • @zuggrr
    @zuggrr 3 роки тому +1

    This helped me so much ! thank you sir.

  • @Kradle
    @Kradle 2 роки тому +2

    Thanks mate! You've helped me a ton this semester. My discrete final is tomorrow! Wish me luck!

    • @ivanroman-y7q
      @ivanroman-y7q Рік тому

      a year later, how did you do?

    • @Kradle
      @Kradle Рік тому

      I did fine. B+. This channel helped a lot. @@ivanroman-y7q

  • @farhanlabibahan
    @farhanlabibahan Місяць тому

    Best explanation on this topic...❤

  • @Naruto_Uzumaki_
    @Naruto_Uzumaki_ Рік тому

    mt profs notes are so confusing on this concept, thanks a lot for the clarity!!

  • @hww3333
    @hww3333 5 років тому +2

    Simple and clear

  • @abelthomas5593
    @abelthomas5593 2 роки тому

    Ty you just saved my day!

  • @rakhiptk546
    @rakhiptk546 4 роки тому

    the way u explain is awesome

  • @klam77
    @klam77 Рік тому

    Fantastic explanation

  • @ayantikaC03
    @ayantikaC03 4 роки тому

    Have been trying to grasp this concept for the longest of time...finally all of it makes sense..thanks😁

  • @samuelalopa3405
    @samuelalopa3405 2 роки тому

    thankyou for the video. It helps me understand the topic relation.

  • @ericfricke4512
    @ericfricke4512 4 роки тому

    You are the best! Great teaching skills... you make it approachable and intuitive.

  • @archanakhobragaderamteke1509
    @archanakhobragaderamteke1509 3 роки тому +3

    If the videos... He post will be of 2 to 3 mins.. He will hit many likes and the concept will be to clear...

    • @Amy-be6xp
      @Amy-be6xp 3 роки тому +3

      Yep... I admit... Hey same surname...coincidence 😆

  • @kathiresanthulasingam4644
    @kathiresanthulasingam4644 4 роки тому

    This made me easily understand the topic thank u so much

  • @habinashhariharan3809
    @habinashhariharan3809 3 роки тому

    Maybe the ASMR will help me remember this stuff for an exam.

  • @imaenzi7346
    @imaenzi7346 4 роки тому +1

    You are really good

  • @ridovercascade4551
    @ridovercascade4551 6 років тому

    Herroooooo saved 8h lecture time

  • @hallushkah
    @hallushkah 2 місяці тому

    Giving examples with some numbers could further comprehending how these relations actually look like

  • @tac11
    @tac11 5 років тому

    Amazing explanation, straight to the point.

  • @xamogxusx
    @xamogxusx 6 років тому +2

    Thanks! Such a great explainer!

  • @prateeksenapati2152
    @prateeksenapati2152 6 років тому +1

    Amazing explanation! I loved it!! Thank you Mr. Bazett. ☺

  • @krishna9438
    @krishna9438 6 років тому

    Thanks man! You're so easy to understand.

  • @fakrulchoudhury2363
    @fakrulchoudhury2363 5 років тому +1

    Seriously a great explanation...!!

    • @fakrulchoudhury2363
      @fakrulchoudhury2363 5 років тому

      I m a 2nd year student nd was confused with these there relations bt sir ur explanation was great.... it was like my own teacher was explaining to me😊😊

  • @1944xinren
    @1944xinren Рік тому

    非常簡單易懂,我的離散有救了

  • @miat789
    @miat789 4 роки тому

    Oh man you just made this click. I have read my textbook I have watched other videos and nothing made this click until I watched your video.

  • @ap-dh8md
    @ap-dh8md 6 місяців тому

    today I learned I'm not necessarily related to myself? feeling a little reflexive about it.

  • @uw_rahul3630
    @uw_rahul3630 2 роки тому

    Yoo! Thanks bro. A lot informative video just over the concept which is the way i like to study.

  • @continnum_radhe-radhe
    @continnum_radhe-radhe Рік тому +1

    Sir, How we check reflexivity if a relation on A×B ??

    • @DrTrefor
      @DrTrefor  Рік тому +1

      You need to check that for any (a,a) is in the relation R for every value of a.

    • @continnum_radhe-radhe
      @continnum_radhe-radhe Рік тому +1

      @@DrTrefor thank you sir.

    • @continnum_radhe-radhe
      @continnum_radhe-radhe Рік тому +1

      @@DrTrefor but sir if R contain in form of (a,b) or in form of order pair then?

  • @hassantariq8263
    @hassantariq8263 6 років тому

    Amazingly Described !!

  • @vasankeerthu3577
    @vasankeerthu3577 6 років тому +1

    Thank you sir!
    Really helpful.

  • @My_RI9
    @My_RI9 2 роки тому

    Today is my Exam I don't have any idea about that relation but then I found this video now I'm unstopable

  • @idosegev4938
    @idosegev4938 5 років тому

    GREAT EXPLANATION

  • @niom9446
    @niom9446 2 роки тому +2

    Amazing

  • @christopherhudson9383
    @christopherhudson9383 4 роки тому +1

    Thank you. This was extremely helpful. It would have been even better if you included antisymmetric as well.

  • @apoorvaupadhyay9328
    @apoorvaupadhyay9328 5 років тому

    Really, It's latent talent of teaching Mathematics.

  • @slykid139
    @slykid139 10 місяців тому

    Thank you very much!

  • @skmdsahil5165
    @skmdsahil5165 4 роки тому +1

    Thank you sir

  • @ItsPouring
    @ItsPouring 3 роки тому +1

    _WHO are you_ ???
    I L💖ve you! Thank Y💝u!!👏🤓

  • @bruhmannen7400
    @bruhmannen7400 3 роки тому +1

    thank you

  • @Amalalharbi9
    @Amalalharbi9 3 роки тому +1

    Thank u💕💕💕💕

  • @MagnusTheUltramarine
    @MagnusTheUltramarine 3 роки тому +2

    Is it necessary that it can go in just 1 step instead of 2 in order for it to be transitive, or 2 is also ok?

  • @DarvinJ
    @DarvinJ 5 років тому

    thank you so much! excellent explanation

  • @ObjSolid
    @ObjSolid 7 років тому +1

    extremely helpful, thankyou!

  • @nexonym2008
    @nexonym2008 6 місяців тому

    4:27 I might be in the wrong but he said that is does not matter that point z is not involved in this symmetric directed graph for the relation to be symmetric, however the defintion states for all x,y in A, thus indicating that is must be true for all pairs of elements in A. Idk if I understand something wrong here

  • @saviogilbertlewisanthony1696

    Thank you so so much

  • @bajida8910
    @bajida8910 4 роки тому

    I have a disorder of listening sharp sound by scratching........ this video kills me, but I have to watch it....

  • @EMPiRE25593
    @EMPiRE25593 Рік тому

    directly from my x to my ' says y maps to z'.

  • @not_intrested
    @not_intrested 5 років тому +2

    Zabardast!!

  • @marzia9274
    @marzia9274 9 місяців тому

    Thank you! I had a question(related to this topic) that I needed help with. Is there a way i can reach out to you ?

  • @arwa8164
    @arwa8164 4 роки тому

    not all heroes wear capes

  • @TheBlizzardfan7
    @TheBlizzardfan7 5 років тому +3

    In Transitive, when we have X->Y and Y-> X, should we have X->X and Y->Y too?

    • @jackbud427
      @jackbud427 4 роки тому

      I think the answer is yes. I thought the same question while watching as I was trying to find other 2 step paths, which is probably why you asked this. Trefor's statement is correct but unrelated i think

  • @gottafocus7092
    @gottafocus7092 Рік тому +1

    If a relation is reflexive, symmetric and transitive then its called an equivalence relation.

  • @karlag33
    @karlag33 4 роки тому

    Thank u . Can u show us practicals ex

  • @chrisoca958
    @chrisoca958 3 роки тому

    Well explained! Thank you very much, Sir! ^_^ I subbed!

  • @RiteshNEVERUNIFORM
    @RiteshNEVERUNIFORM 5 років тому +2

    The transitive is like 0th law of thermodynamics

  • @TheCuriousLifeOfCode
    @TheCuriousLifeOfCode 4 роки тому

    Thank You!!!

  • @soham8861
    @soham8861 6 років тому

    Thank you so much!!!

  • @CollinsRutto-j3h
    @CollinsRutto-j3h Годину тому

    Who studied 7years later hero😊😊😊