I came across this nice integerological fact:
Define \(\operatorname{ord}_p(n)\) to be the power of \(p\) in the prime factorisation of \(n\).
Then
\[ \sum_{k=1}^n\gcd(n,k) = \prod_{p|n} \left(1+\left(1-\frac{1}{p}\right) \cdot \operatorname{ord}_p(n)\right) \]
I don't know why you'd want to do this, and all the references I've found to it talk about it as a special case of some more general identities, but for some reason it appealed to me.
I'm a graduate student in physics. My recent effort is on understanding the solutions of \(\partial_t^2 \psi - \nabla^2\psi + \psi(\psi\psi^* - \psi_0(t)\psi_0^*(t))=0\). But of course I'm open to be distracted by other good maths. #introduction
My favorite thing about Mastodon is that it feels like we're taking back the internet.. just like how it was back in the 90's: campy and unpolished, but genuine and personal. Also a little bit like a massive moderation disaster waiting to happen. I'm savoring it for as long as it lasts and before all the big ugly banners and ads inadvertently take over 🥹
RT @GeoPythonConf
We're happy to announce GeoPython 2023, March 06-08 in Basel, Switzerland - the conference for #Python and #Geo
Call for Speakers is now open: https://2023.geopython.net
#python #geospatial
hey #datascience #machinelearning peeps! could you please recommend a Mastodon instance for a new tooter interested in ML and data science?
Asking for a friend! thanks!
In case people haven't seen this yet, there's an "Academics on Mastodon" list on GitHub here: https://nathanlesage.github.io/academics-on-mastodon/
#Academia #Mastodon #Tips
We just got a bunch of fuzzy dice for the car except that they're a d20 and a d8 🤓
https://www.etsy.com/listing/808228964/custom-fuzzy-dice-d20-d12-d10-d8
I'm now aware of 4 tools that can help you find people on Mastodon, particularly people you followed on Twitter. Are there any others?
• Social Search: https://search.noc.social
• Twitodon: https://twitodon.com
• Debirdify: https://pruvisto.org/debirdify/
• Fedifinder: http://fedifinder.glitch.me
In Episode 3, we talked to Dr Lídia del Rio (@azul) about #QuantumInformation and what it took to co-found the community-driven scientific journal "Quantum".
Take a listen to the episode if you'd like to know more!
#QuantumInformation #QuantumThermodynamics #QuantumJournal #Quantum #insideQuantum #QuantumTechnology #QuantumComputing #Publishing #AcademicPublishing
In Episode 2, we talked to Dr Philippe Faist (@phfaist) about #errorcorrection and #complexity.
How can we make the most of noisy, current-generation quantum computers, and just what is the Error Correction Zoo? Take a listen to find out!
#QEC #ErrorCorrection #QuantumErrorCorrection #NISQ #QuantumComputing #QuantumTechnology #QuantumInformation #insideQuantum
@ayden it’s like the metaverse but with more text
It's a shame that so many people are joining mastodon[.]social and having a bad experience. Unless you enjoy consuming the internet from a fire hose, you're gonna have a bad time. Moderation there is likely not going to align with your needs.
I am fortunate to have been following @nova on Twitter and saw her posting about #hachyderm, such that I was able to migrate to hachyderm.io after only 12 days of joining the fediverse. Even though it's grown to >20k users, the local feed is still readable!
Trying this Mastodon thing by promoting a new preprint from the group on qubit cloaking. Check it out and let me know how it works for you in the lab! https://arxiv.org/abs/2211.05758
@hankeijzers welkom! Gezellig dat je er ook bent 😄
People don't realize that Reddit *used* to be open source. https://github.com/reddit-archive/reddit
Physicist, pythonista, quantum engineer