Nick @internic@social.cleverlibre.org

Y'ALL!

CHECK OUT #NASA's INTERACTIVE EARTH MAP
https://eyes.nasa.gov/apps/solar-system/#/story/annular_solar_eclipse?rate=0&time=2023-10-14T16:42:49.076+00:00

was not feeling the annular #eclipse map that only includes USA. in the link i posted above, under the embedded eclipse simulation, there is a link that says "View Full Screen"

look at how beautifully the artists rendered the paths of the eclipse:

1) they calculated their widths
2) colored them with a violet-black
3) then changed the opacity by the degree of visibility. so 30% visibility = 30% opacity

more at the ALT!

Though we live in an age where literal cartoon and comic book supervillains abound, we are absolutely lacking in equivalent superheroes, so I guess it's up to us everyday people to fill that gap.

Sometimes in physics you get an integral equation that looks something like

F(t) = 1 + ∫ᵗ G(s)P(F(s))ds

where P is some function - maybe a polynomial.

A simple example might be

F(t) = 1 + ∫ᵗ F(s)²/s ds

(This kind of thing pops up as the "Dyson-Schwinger equation" in Quantum Field Theory.)

An approach to understanding this might be to start with F₀(t) = 1 and keep iterating by plugging in the last thing you got.

So Fᵢ₊₁(t) = 1 + ∫ᵗ Fᵢ(s)²/s ds

Write the integration step as an operator (TF)(t) = ∫ᵗF(s)/s and our original equation is

F=1+T(F²)

and the iteration is essentially finding terms

F₀ = 1
F₁ = 1+TF₀² = 1+T1
F₂ = 1+T((1+T1)²)
= 1+T(1+2T1+(T1)²)+…

which you can keep expanding out.

The equation F = 1+TF² looks like some Haskell:

data F = One | Tree F F

And now we have that when you expand out the Fᵢ the terms correspond to (weighted) trees and the numerical value of each tree is given by a fold (in the sense of F-algebras) over the tree.

And that helps to explain why this paper I came across by Joachim Kock exists:

Combinatorial Dyson–Schwinger equations and inductive data types
https://mat.uab.cat/~kock/papers/DSE-types.pdf

I think you can see this as a baby version of where Feynman diagrams come from. Really you want constructors, not for trees, but for graphs. You can sort of read off what the constructors look like from the Lagrangian but I haven't yet fully connected the dots to the physics courses I took years ago...

Roughly 1/3 of all sites on the Internet eat just entered the fediverse. You can’t stop an idea whose time has come. https://techcrunch.com/2023/10/11/wordpress-com-blogs-can-now-be-followed-on-mastodon-and-other-federated-platforms/

Apple’s position simply makes no sense. If there was no other valid alternative, they’d *have to* use Google for free, not be able to twist their arm to get $21B out of them. They’d have no leverage if Google were the only game in town. You pay someone to do things they don’t have to do, not to do the only option available to them. Certainly not to the tune of $21B. For some context, this is equal to their entire Services *revenue*. /cc @gruber

https://www.theverge.com/2023/9/26/23891037/apple-eddy-cue-testimony-us-google

https://daringfireball.net/linked/2023/10/12/cue-apple-google

For the #Spacetober prompt ‘historic launch vehicles’ it’s my portrait of #mathematician and NASA scientist Katherine Johnson (1918 – 2020). One of the first Black women employed as a NASA scientist (& its predecessor NACA), she was known for her mastery of complex manual calculations of orbital mechanics & played a pivotal role in the success of the US crewed spaceflights from the beginning.
🧵1/n
#mathematics #sciart #linocut #printmaking #womenInSTEM #spaceArt #histsci #BlackInSTEM #MastoArt

Seriously though this is rad. 8yo said the shadows look like “dragon scales” and he’s not wrong. #eclipse

Huh, I wonder why phishing works so well.

One of our core developers who primarily works on device support has had their Amazon account locked after purchasing a Pixel 8 with Amazon gift cards. Can an Amazon employee please contact us and help escalate their case? Amazon support isn't helping and it's time sensitive.

Happy #Caturday! I hope your day is restful.

#CatsofMastodon

Born in 1896, Ida Noddack was the first scientist to suggest the principle behind nuclear fission. But Otto Hahn demonstrated this (with Lise Meitner! & Fritz Strassmann) & he won the Nobel prize.

Noddack also discovered rhenium (atomic #75) & predicted #43, but couldn’t confirm it experimentally, so Segrè & Perrier were later credited.

She tried to speak up that the ideas for fission & #43 began with her, but it lost her credibility. https://royalsocietypublishing.org/doi/10.1098/rsnr.2014.0009 #HistoryRemix #history #science

Part of a tiling of the hyperbolic plane where 7 equilateral triangles meet at each vertex, wrapped isometrically onto a surface with curvature K=–1:
z = ±ξ |E(arcsin(cosh s) | m)–E(m)|
ρ = √[ξ^2–1] cosh s

E is elliptic integral
ξ is max radius
m = 1–1/ξ^2
s is dist from waist

More at https://www.gregegan.net/SCIENCE/PSP/PSP.html

Splunk's Ryan Kovar has put together a map with the places where it's legal to pay ransomware groups.

http://isitlegaltopay.com/

We're officially, reluctantly closing up shop. We're so grateful to all of you. Thank you for everything!

https://www.truthorfiction.com/so-long-and-thanks-for-all-the-facts/

Temporary moratorium on use of #FacialRecognition tech in state schools is now a matter of law in #NewYork, following the conclusion of study that found potential rights violations outweighed safety benefit. The ban is the result of temporary moratorium placed on facial recognition tech in the state’s K-12 schools issued in December 2020 by former governor Andrew Cuomo. https://www.cpomagazine.com/data-privacy/state-of-new-york-makes-moratorium-on-facial-recognition-technology-in-schools-permanent/ #CivilLiberties Privacy #Suveillance #education #students #legalresearch

I love that “too tired to care” edged out “insecure” to win @april’s poll
#curl #shell #InfoSec #security https://macaw.social/@april/111222117706035798