Proof 1 2 3 4 N 1 12

One can get out of them what one wants if one uses them and it is they which have made so much unhappiness and so many paradoxes. The euler maclaurin formula bernoulli numbers the zeta function and real variable analytic continuation by terence tao. For those of you who are unfamiliar with this series which has come to be known as the ramanujan summation after a famous indian.

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How To Prove That Math 1 2 3 1 12 Math Quora

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How To Prove That Math 1 2 3 1 12 Math Quora

The Ramanujan Summation 1 2 3 1 12 By Mark Dodds Cantor S Paradise Medium

$Q How Does 1 2 3 4 5 1 12 Make Any Sense Ask A Mathematician Ask A Physicist$

Q How Does 1 2 3 4 5 1 12 Make Any Sense Ask A Mathematician Ask A Physicist

People found the idea so astounding that it even made.

Proof 1 2 3 4 n 1 12. Divergent series are on the whole devil s work and it is a shame that one dares to found any proof on them. The idea featured in a numberphile video see below which claims to prove the result and also says that it s used all over the place in physics. John baez september 19 2008. Srinivasa ramanujan 1887 1920 was an indian mathematician.

A recursive evaluation of zeta of negative integers by luboš motl. Maths then the answer to this sum is 1 12. Recently a very strange result has been making the rounds. Can one think of anything more appalling than to say that 0 1 2 2n 3 2n 4 2n etc.

A recursive evaluation of zeta of negative integers by luboš motl. L addition de tous les nombres entiers positifs donne 1 12. Euler s proof that 1 2 3 1 12 by john baez. La série a pour terme général n sa n ième somme partielle est donc le nombre triangulaire s n 1 2 n égal à n n 1 2 la suite s n tend vers l infini.

A première vue oui mais quand on y regarde de plus près on découvre l une des plus b. 2010年4月22日閲覧 the euler maclaurin formula bernoulli numbers the zeta function and real variable analytic continuation by terence tao. à la différence de son homologue la série alternée des.

Elle n est pas non plus sommable au sens de cesàro. There is no ramanujan s proof to agree with or disagree with. Ramanujan was being a bit naughty in private correspondence with hardy who was meant to be amused and intrigued but it has escaped into the wild where people who don t. Euler s proof that 1 2 3 1 12 by john baez.

It says that when you add up all the natural numbers maths 1 2 3 4. La série n est donc pas convergente elle ne possède donc pas de somme au sens usuel du terme.