First Pigeonhole Principle

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  • เผยแพร่เมื่อ 25 ส.ค. 2024
  • In mathematics, the pigeonhole principle states that if n items are put into m containers, with n m, then at least one container must contain more than one item.

ความคิดเห็น • 19

  • @PrimeNewtons
    @PrimeNewtons  หลายเดือนก่อน +2

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    • @boguslawszostak1784
      @boguslawszostak1784 หลายเดือนก่อน

      ""Dirichlet's box principle" in Poland.
      We should not forget about Dirichlet.

    • @PrimeNewtons
      @PrimeNewtons  หลายเดือนก่อน

      @@boguslawszostak1784 Thanks. I forgot to mention that. I will do so in part 2

  • @thomasschoeck9080
    @thomasschoeck9080 หลายเดือนก่อน +14

    There is at least one restaurant in Paris, France that has pigeon on the menu.

  • @Modo942000
    @Modo942000 หลายเดือนก่อน +4

    In Egypt, pigeons are a relatively common delicacy. However, something i discovered compared to other countries is that the pigeons bred for consumption are different from the ones that are common in Europe and the Americas

  • @MadaraUchihaSecondRikudo
    @MadaraUchihaSecondRikudo หลายเดือนก่อน +2

    My favorite pigeonhole principle problem is calculating the probability that there exist two people in the US with the exact same number of hairs on their heads (not including bald people). It's easy to reason that there are fewer than ten million hairs on even the hairiest of heads, but there are more than 300 million people in the US - By reasoning of the pigeonhole principle, there must exist at least two people with the exact same number of hairs on their head, so the probability is 1.

  • @glorrin
    @glorrin หลายเดือนก่อน +3

    Yes people eat pigeon, I knew it was sometimes available in supermarket in my country (although it is not a common thing to eat), so i did a quick search, it is consumed, among others, in china, italy and france.
    I was put off by it cause when I read pigeon I was thinking about that fat sick bird in cities, turns out, pigeon specificaly bred for consumption is not the same.

  • @kinshuksinghania4289
    @kinshuksinghania4289 หลายเดือนก่อน +2

    Did you re-upload the video??
    I swear I saw the same thumbnail yesterday

  • @adrienberard5795
    @adrienberard5795 หลายเดือนก่อน +1

    Love your videos man

  • @ChalkyWhiteChalkyWhite
    @ChalkyWhiteChalkyWhite หลายเดือนก่อน

    respect a remake keep growing your channel

  • @haroldosantiago819
    @haroldosantiago819 หลายเดือนก่อน +1

    U are a great heart Man sir!

  • @gildedbear5355
    @gildedbear5355 หลายเดือนก่อน

    Why does the definition use the floor plus one rather than the ceiling? Do you know? I suppose the floor is slightly easier to calculate (and arguably is a step in calculating the ceiling function)

    • @nothingbutmathproofs7150
      @nothingbutmathproofs7150 หลายเดือนก่อน

      That's a simple one--the ceiling function does not work all the time. For example, the floor of 2 + 1 = 2 + 1 =3. However, the ceiling of 2 is 2!! Now if you don't have an integer like in the floor of 2.3 + 1 = 2+1 =3 = ceiling of 2.3

    • @gildedbear5355
      @gildedbear5355 หลายเดือนก่อน

      @@nothingbutmathproofs7150 Alright, that makes sense. I hadn't considered the case of an integer 8D

  • @XiOjala
    @XiOjala หลายเดือนก่อน

    Any chance you could do a resume of the attempts to prove/disprove the twin-prime conjecture? It's starting to annoy me.

  • @NondoPondo
    @NondoPondo หลายเดือนก่อน +1

    Yes. People eat pigeons.

  • @alikazemi1329
    @alikazemi1329 หลายเดือนก่อน +1

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