A few years ago Dave Neary started me down the path of trying to fill in the details of how the polar coordinates derivation of Euler's formula works. It takes a bit of detail (and a few pages) to connect the dots but this is what I came up with:
https://davidmeyer.github.io/qc/euler.pdf As always, questions/comments/corrections/* greatly appreciated.
@ansate
I'm an aging, retired in fact, person somewhat of your ilk. I dabble in #R, #PDL, #Yorick, #Euler, and #Octave. #Python wasn't so much the thing in my day as it is now, so I never used it.
I'll boost your request so you can hopefully find younger and more active practitioners.
#r #PdL #yorick #euler #octave #python
While finding a polynomial P(x) for sin(x) isn't the main result of Euler's solution to the Basel problem [1], it is still pretty amazing that it can be done. Even more mind-boggling is the Weierstrass Factorization Theorem [2] itself, which tells us that this can be done for a wide variety of functions.
See https://davidmeyer.github.io/qc/basel.pdf for a bit more detail. And as always, questions/comments/corrections/* are greatly appreciated.
#math #maths #baselproblem #euler
References
--------------
[1] "Basel problem", https://en.wikipedia.org/wiki/Basel_problem
[2] "Weierstrass Factorization Theorem", https://en.wikipedia.org/wiki/Weierstrass_factorization_theorem
#euler #baselproblem #maths #math
I wrote a bit about the connection between the zeta function ζ(s) and the primes, a relationship discovered by Euler in 1737 (the so-called product formula or as Derbyshire calls it, the "golden key" [1]).
Some of my notes are here: https://davidmeyer.github.io/qc/Euler_product_formula_for_the_Riemann_zeta_function.pdf. The LaTex source is here: https://www.overleaf.com/read/hvqdtdyftqpb.
As always, questions/comments/corrections/* greatly appreciated.
#math #zetafunction #goldenkey #primes #euler
References
------------
[1] John Derbyshire. Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics. The National Academies Press, Washington, DC, 2003.
#euler #primes #goldenkey #zetafunction #math
#Einstein and #Euler: Accelerating expansion of the #universe and #darkmatter #theories put to the test
https://phys.org/news/2023-06-einstein-euler-expansion-universe-dark.html
#einstein #euler #universe #darkmatter #theories
Jimbos Protocol offers deal to hacker, threatens police action - The deal was posted to both the Ethereum network and the protocol... - https://cointelegraph.com/news/jimbos-protocol-offers-deal-to-hacker-threatens-police-action #sentiment #analytics #exploit #jimbos #police #euler #hack
#hack #euler #police #jimbos #exploit #analytics #sentiment
Jimbos Protocol hacked for over $7.5 million using flash loan exploit - Shortly after it fell victim to a hack, Arbitrum-based Jimbos Protocol has decided to see... - https://cryptonews.com/news/jimbos-protocol-hacked-for-over-75-million-using-flash-loan-exploit.htm #blockchainnews #peckshield #sentiment #protocol #jimbos #euler #hack
#hack #euler #jimbos #protocol #sentiment #peckshield #blockchainnews
1736-1895: The science of topology slowly developed from Leonhard Euler, involving Lhuilier, Möbius, Poincaré, and others. #Poetry #Science #History #Topology #Mathematics #Euler (https://sharpgiving.com/thebookofscience/items/p1736b.html)
#poetry #science #history #topology #mathematics #euler
1736: In solving the “Seven Bridges of Königsberg” problem, Leonhard Euler invented graph theory. #Poetry #Science #History #GraphTheory #Mathematics #Euler (https://sharpgiving.com/thebookofscience/items/p1736a.html)
#poetry #science #history #graphtheory #mathematics #euler
Euler Finance opens redemptions after hacker returns funds - The Ethereum lending protocol was exploited in a $197 million fla... - https://cointelegraph.com/news/euler-finance-opens-redemptions-after-hacker-returns-funds #cryptocurrencies #ethereum #euler #hacks
#hacks #euler #ethereum #cryptocurrencies
Euler’s $200M Hacker Finally Returns All “Recoverable Funds” - Euler Finance hacker returned the stolen $200 million, and apologized.
Continue r... - https://dailycoin.com/euler-hacker-returns-all-recoverable-funds/ #zzzeditorspicks #flashloanattack #hacksandscams #technology #zz_popular #zz_index #zz_top #euler
#euler #zz_top #zz_index #zz_popular #technology #hacksandscams #flashloanattack #zzzeditorspicks
Euler Hacker Apologizes for $200M Attack, Returns Millions to Protocol - The exploiter said he “f**ed up” and “didn’t want” to steal the funds.
Continue re... - https://dailycoin.com/euler-hacker-apologizes-for-200m-attack-returns-millions-to-protocol/ #decentralizedfinance #zzzeditorspicks #hacksandscams #technology #definews #zz_index #defihack #zz_top #euler
#euler #zz_top #defihack #zz_index #definews #technology #hacksandscams #zzzeditorspicks #decentralizedfinance
Hacker Behind $200M Euler Attack Apologizes, Returns Millions in Ether, Dai to Protocol - The attacker sent over 7,000 ether to Euler Tuesday and seemingly apologized for their ac... - https://www.coindesk.com/tech/2023/03/28/hacker-behind-200m-euler-attack-apologizes-returns-millions-in-ether-dai-to-protocol/?utm_medium=referral&utm_source=rss&utm_campaign=headlines #on-chaindata #technology #euler #news #defi
#defi #news #euler #technology #on
Euler Finance Hacker Sends 51,000 Stolen Ether Back to Protocol - EUL tokens jumped 47% on the transfer of tokens. - https://www.coindesk.com/tech/2023/03/25/euler-finance-hacker-sends-51000-ether-back-to-protocol/?utm_medium=referral&utm_source=rss&utm_campaign=headlines #on-chaindata #technology #euler #news
Popular Mechanics: Euler's Number: What Is the Number e?
https://www.popularmechanics.com/science/math/a43341607/what-is-eulers-number/
#euler
#maths
Euler Finance's offer to hacker: Keep $20M or face the law - The hacker committed a $196 million flash loan attack on the Ethe... - https://cointelegraph.com/news/euler-finance-s-offer-to-hacker-keep-20m-or-face-the-law #smartcontractaudit #ethereumcommunity #on-chainmessage #vulnerability #chainalysis #eulerlabs #flashloan #exploit #attack #threat #euler #code #trm #bug
#bug #trm #code #euler #threat #attack #exploit #flashloan #eulerlabs #chainalysis #vulnerability #on #ethereumcommunity #smartcontractaudit
I wrote a thing on scientific knowledge authority, William Gillis, mathematicians, and capitalism.
#Anarchism
#Capitalism
#Mathematicians
#Euler
#Diderot
#AugustusDeMorgan
#WilliamGillis
#PhilosophyOfScience
#anarchism #capitalism #mathematicians #euler #diderot #augustusdemorgan #williamgillis #philosophyofscience
Blood in the Streets: DeFi Protocol Euler Hacked for Nearly $200M - The hacker exploited one of Euler’s smart contracts.
Continue reading at DailyCoin... - https://dailycoin.com/defi-protocol-euler-hacked-for-200m/ #decentralizedfinance #zzzeditorspicks #hacksandscams #technology #definews #zz_index #zz_top #euler
#euler #zz_top #zz_index #definews #technology #hacksandscams #zzzeditorspicks #decentralizedfinance