Added: 2 years ago
From: UMKC
Views: 9,451
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  • wow! I'm so glad I found this. Thank you so much!

  • Thanks man, never heard of any explaination that is as good as this one!!

  • very well done 

  • too complex for me.. i know all about e, but the proofs. proof of anything rather.

  • DERRRR THUNKZ FOR DA PREWF UH WILLZ NAU YOOSE IT AGENST MAH TEECHAHZZ!!!

  • Translation: DUR THANKS FOR THE PROOF. I WILL NOW USE IT AGAINST MY TEACHER!!

  • What an impressive teaching style, Thank you very very very much...

  • I can write e in fraction form a/b when a and b are integers:

    e = 0/0

    since 0/0 can equal anything.

  • @anticorncob6

    0 and 0 have got common factors coming out of their ears, you insufferable little shitbag.

  • @73neu

    1) The proof did not involve saying it was in simplest form

    2) When you try to simplify 0/0, you don't get anything but 0/0

    3) The definition of rathional number is that b does not equal zero, and it's still irrational after saying it's 0/0.

    4) It was just a joke.

  • @anticorncob6 He DID say that p/q was in its simplest form. Watch the video more carefully before you make such jokes, funny as it may seem to you.

  • @anticorncob6 (It was at 6:11.)

  • @bryanwangpengjun Well still, when you try to simplify 0/0 by dividing the top and bottom, you still get 0/0.

  • @anticorncob6

    You're not "highly educated" about anything kid. Also, numerous NON creationists (like Dr. Michael Denton and Dr. David Berlinksi) do NOT believe in your little magical mutation theory (aka evolution).

    Yep, hate to burst your bubble KID (since you're 13 and NOT a college professor) but evolutionism is just another dumb RELIGION.

    Its not science and never has been. Get educated you pompus little TWIT.

    You're a sad little BOY with fake "friend" accounts. Tsk, tsk

  • @evoTARDSareINSANE Yes I am highly educated. I have mostly A's on my report card and a couple of B's. I'm on honor roll. You, on the other hand, are ignorant.

    99% of scientists believe evolution, as stated in project steve.

    Evolution is science, and I brought up an argument explaining. You, on the other hand, have NO arguments why it isn't science.

    Now can you quit stalking me?

  • @anticorncob6

    No kid, you're a juvenile little twit that has ZERO understanding of the NUMEROUS FLAWS of Darwinian evolution and the numerous SCIENTISTS (unlike YOU) that have signed the Scientific Dissent from Darwinism.

    Kid, saying "evolution dunnit durr" is NOT science, never has been and never will be. MOST scientists do NOT believe in the UNOBSERVED process of abiogenesis and macroevolutionary transitions (because neither has been observed)

    Evolutionism = RELIGION not science

  • @evoTARDSareINSANE

    That little deluded kid doesnt have the 1st clue about Biology, so its no shock the little boy "believes" in unobserved nonsense and erroneous speculation. The educational system has failed these kids nowadays greatly.

  • @buffboynick

    I know man, these anti-science evotards are a disgrace to the scientific community. Its become its own naturalistic religion of nonsense. Ev-LIE-utionists are total hypocrites and anti-intellectual clowns.

  • @evoTARDSareINSANE Er, excuse me fraud, but aren't your comments on this video classified as 'trolling'?

  • @evoTARDSareINSANE STALKER. STALKER. STALKER.

    FUCK OFF.

  • @anticorncob6 = 8th Grader with no friends

    Do your parents know you have MULTIPLE TROLL ACCOUNTS

    go play with your Rubik's cube and believe in magical UNFOUND ape-men, moronic evo-clown

  • @evoTARDSareINSANE MY OTHER ACCOUNT ISN'T FOR TROLLING FAGGOT, YOU IGNORED WHAT I SAID AGAIN... THANKS FOR CONTRADICTING YOURSELF

  • @anticorncob6

    I heard you're a NAZI

    Racist scum = lowest of the low

  • @evoTARDSareINSANE I AM NOT PART OF ANY OF THOSE ORGANIZATIONS... NICE STRAWMAN ATTEMPT THOUGH

  • @anticorncob6

    I heard you wear Nazi swastikas and goto the zoo to hump chimpanzees.

    Troubled young lad you be.

  • @evoTARDSareINSANE THEN YOU HEARD WRONG.

  • @evoTARDSareINSANE "Racist scum = lowest of the low" And what about yourself hypocrite?

  • Comment removed

  • Elegant. And 12 mins long without even a single um or er.

  • Wow that was brilliant. I believe I was able to understand everything without pausing and rewinding. Amazing prof. I also like how we got to see him in the corner. As unreasonable as it may sound, it made it easier to stay focused with what he was doing.

  • I cant believe this only has 3.6k views!! Its brilliant!

  • Thank you! wonderfully done!

  • That's a wonderful proof - very clearly done - never saw it before - please keep posting these great videos!

  • ... w..o..w... what an idea...

  • pfft i could do this in my sleep

  • lol n !

    pfft, everyone knows that n! = N

  • Thank you for this.

    Could you imagine to present the proof that e is transcendantal here on youtube?

  • that was pretty nice... i saw a nicer and more concise one in a Number theory text (Leveque), but i enjoyed this one as well :)

  • Absolutely beautiful, i cried at 10:29 (well i came close).

  • That was the most ingenious thing that I have ever seen. And I thought I was good at maths. *EPIC FAIL* I'm honestly amazed.

  • this stuff is beyond my brain copasity so im gonna go eat a hut pocket now...

  • This is brilliant, I had never seen this proof before.

  • beautiful!

  • thank you for this video, this was far easier to follow than other online proofs of e's irrationality

  • succint. great job

  • Good job.

  • Professor, I am a bit confused. Why is it so important to make 1/n STRICTLY less than 1? Isn't n going to infinity? Aren't you squeezing your expression to zero, an integer?

  • No, n isn't going to infinity; it's just some integer.

    The number n was chosen to be greater than q, so that n!(e - Sn) would turn out to be an integer, and the significance of 1/n < 1 is that n!(e - Sn) cannot be an integer, since there are no integers between (not including) 0 and 1.

    Since n!(e - Sn) cannot be both an integer and not an integer, there is contradiction, so the assumption that e = p/q (is rational) must be false.

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