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🔊 SAIU!!! 🎉

As inscrições para o Prêmio IMPA-SBM de Jornalismo 2019 estão abertas!

O prêmio é destinado a reportagens que apresentem a Matemática e as Ciências de maneira interessante e original, provoquem reflexão sobre essas áreas do conhecimento e estimulem a sua popularização no Brasil.

Jornalistas têm até 15 de junho para concorrerem.

Mais informações em https://impa.br/premiodejornalismo

#premioimpasbmdejornalismo
#SBM #impa #jornalismo #matematica

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New video by Flammable Maths:
Second Order Linear Homogeneous ODE /w Constant Coefficients: Deriving ALL Cases!
https://youtu.be/2XV5b6YZwdg

New video by Dr Peyam:
Linear regression
https://youtu.be/-bgrezOT0VQ

Graduate Texts in Memes on Facebook
graduate texts in harmonic analysis

graduate texts in harmonic analysis

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Graduate Texts in Memes on Facebook
GTM SKINCARE

GTM SKINCARE

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New video by Flammable Maths:
𝗦𝗢𝗡 𝗢𝗙 𝗔 𝗣𝗨𝗧𝗡𝗔𝗠 𝗕𝗢𝗜! Integrating a CRAZY Variant!
https://youtu.be/WFmWCsOT6a0

New video by 3Blue1Brown:
But what is a partial differential equation? | Overview of differential equations, chapter 2
https://youtu.be/ly4S0oi3Yz8

New video by blackpenredpen:
Q15
https://youtu.be/AzwMgg9SGlk

New video by Flammable Maths:
OmG THiS iS So HArrRD!!!!1!1 VEry HaRd MAth PuZZlE SOLVed!!!111 CaN u Do iT iN HeaD?!?!?!1ß
https://youtu.be/lGwhNKv05Ss

New video by MindYourDecisions:
The Incredible Upside Down Equation - Math Ambigram
https://youtu.be/FJQKO_bq2FA

In number theory, the prime number theorem(PNT) describes the asymptotic distribution of the prime numbers among the positive integers. It formalizes the intuitive idea that primes become less common as they become larger by precisely quantifying the rate at which this occurs. The theorem was proved independently by Jacques Hadamard and Charles Jean de la Vallée Poussinin 1896 using ideas introduced by Bernhard Riemann (in particular, the Riemann zeta function). The first such distribution found is π(N) ~ N/log(N), where π(N) is the prime-counting function and log(N) is the natural logarithm of N. This means that for large enough N, the probability that a random integer not greater than N is prime is very close to 1 / log(N). Consequently, a random integer with at most 2n digits (for large enough n) is about half as likely to be prime as a random integer with at most n digits. For example, among the positive integers of at most 1000 digits, about one in 2300 is prime (log(101000) ≈ 2302.6), whereas among positive integers of at most 2000 digits, about one in 4600 is prime (log(102000) ≈ 4605.2). In other words, the average gap between consecutive prime numbers among the first N integers is roughly log(N).

Hoffman, Paul (1998). The Man Who Loved Only Numbers. New York: Hyperion Books, p. 227.