Set Theory Proof: A subset of B and C subset of D then A x C is a subset of B x D

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  • เผยแพร่เมื่อ 15 ก.ย. 2024

ความคิดเห็น • 33

  • @stephen9351
    @stephen9351 4 ปีที่แล้ว +68

    wtf why is a random youtuber dressed as a wizard better at teaching proofs than my professors that earns a six figure salary

    • @fontanot
      @fontanot 3 ปีที่แล้ว +1

      and also free

  • @peiopascualhernando2236
    @peiopascualhernando2236 5 ปีที่แล้ว +16

    some of these things are obvious but I'm never sure about how detailed the proof must be in order to be taken as correct (for example in a test)

    • @TheMathSorcerer
      @TheMathSorcerer  5 ปีที่แล้ว +12

      yeah that's a common issue, the best way is to show every single step and justify every single step, make it as detailed as possible.
      A common thing is, you get your test back, and you lose points because you thought a certain part was obvious, but it wasn't.
      Anyways yeah, I know what you mean!

  • @hamzaelmi5584
    @hamzaelmi5584 ปีที่แล้ว +2

    YOU ARE SAVING MY DISCRETE MATH MARK THIS SEMESTER, THANKS

  • @d1m4e32
    @d1m4e32 9 หลายเดือนก่อน +1

    Wizard dude you just saved me for the miderms tommorow thanks man

  • @daldi5211
    @daldi5211 2 ปีที่แล้ว +1

    Thanks A LOT! I've been struggling with this problem which shows up on Ch. 1 of Zorich's Analysis I Book.
    Actually the problem is to prove that if B X D ≠ Ø then the relation is two-ways (iff), but I think that part is left to me as an exercise :p
    Keep up the great work Sir.

  • @ritujain8164
    @ritujain8164 4 ปีที่แล้ว +1

    When I read the word 'sorceror' it already reminded me of my fav Harry Potter series....and when I saw you...OMG...u wear the hat which actually looks like the one which classified students to Slytherin, Gryffindor and other grps! This was really very surprising!

  • @helenhe2536
    @helenhe2536 4 ปีที่แล้ว +2

    Thank you so much, this is really helpful!!!

  • @010.ratnashreemishra9
    @010.ratnashreemishra9 ปีที่แล้ว +1

    Thank you sir . This really helped me.

  • @SuperLucasGuns
    @SuperLucasGuns 5 ปีที่แล้ว +6

    u saved my life

  • @BronzeArrow
    @BronzeArrow 6 หลายเดือนก่อน

    why havent I found this channel sooner?!

  • @rakafebrianalfarizi9347
    @rakafebrianalfarizi9347 2 ปีที่แล้ว +1

    this is awesome, its very hellpfull thankyou so much

  • @oscaravila9045
    @oscaravila9045 ปีที่แล้ว +1

    I love you bro currently taking math 55 at cal

  • @aidensaenz6912
    @aidensaenz6912 3 ปีที่แล้ว

    Hello, good night, I have a question and how would the contention be back?

  • @retchellcalapiz8342
    @retchellcalapiz8342 3 ปีที่แล้ว +1

    Pls. Show example using numbers.

  • @luxtenebris764
    @luxtenebris764 4 ปีที่แล้ว +3

    thank you for the nth time sir !

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +1

      I appreciate the love my friend! Thanks for your comment:)

  • @martinhawrylkiewicz2025
    @martinhawrylkiewicz2025 2 ปีที่แล้ว

    Nice proof! Question: is the converse true?

    • @TheMathSorcerer
      @TheMathSorcerer  2 ปีที่แล้ว +1

      it is not! I actually made a video for you and was going to post it! BUT, someone on the forums gave a really good answer to your question, so check it out. I am assuming you asked on mathsorcererforums.com, so check the reply there. Good question:)

    • @martinhawrylkiewicz2025
      @martinhawrylkiewicz2025 2 ปีที่แล้ว

      @@TheMathSorcerer thank you so much for your help and for making great/informative vids. I am trying to teach myself Set Theory by using Munkres Topology (first chapter) and Schaums Outline which I find to be a great source of examples. Problem is Munkres doesn't offer any solutions so sometimes I don't know if I'm on the right track (exercise 2, problem K, L). Seems to me that he is asking to analyze different cases/scenarios when either set A or B is empty. The non empty case I did without any problems.

  • @dolevmazker736
    @dolevmazker736 2 ปีที่แล้ว

    amazing how you do this, and im losing my mind on some proofs

  • @saradev9445
    @saradev9445 5 ปีที่แล้ว +1

    Where are u from Sir?

  • @fontanot
    @fontanot 3 ปีที่แล้ว +1

    than you, you just earned another subscriber

  • @rifahtasnia3991
    @rifahtasnia3991 4 ปีที่แล้ว +1

    It is not my understand

  • @wilsongole8009
    @wilsongole8009 5 ปีที่แล้ว +1

    Thanks man😘😘😘😘😘😘

  • @manas4681
    @manas4681 2 ปีที่แล้ว

    I am from India (bihar)
    And from where are you

  • @ROTSENREDIVAD
    @ROTSENREDIVAD 3 ปีที่แล้ว +1

    Ufff !