First Pigeonhole Principle

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First Pigeonhole Principle

Рет қаралды 3,195

Ай бұрын

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.

Пікірлер: 19

@PrimeNewtons Ай бұрын

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@boguslawszostak1784 Ай бұрын

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

@PrimeNewtons Ай бұрын

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

@thomasschoeck9080 Ай бұрын

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

@Modo942000 Ай бұрын

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 Ай бұрын

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 Ай бұрын

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.

@ChalkyWhiteChalkyWhite Ай бұрын

respect a remake keep growing your channel

@adrienberard5795 Ай бұрын

Love your videos man

@haroldosantiago819 Ай бұрын

U are a great heart Man sir!

@kinshuksinghania4289 Ай бұрын

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

@user-wl4zu2ok1e Ай бұрын

Yes, he did.

@PrimeNewtons Ай бұрын

Yes, I did

@XiOjala Ай бұрын

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

@gildedbear5355 Ай бұрын

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 Ай бұрын

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 Ай бұрын

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