drcaberry, to RomanceBooks
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amici, to Funny
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seav, to til
@seav@en.osm.town avatar

#TIL about the #Mandelmap, which combines two nerdy things that I love: #maps and #fractals! 😍

https://www.mandelmap.com

#MandelbrotSet #math #maths #mathematics #cartography #GraphicDesign

drcaberry, to RomanceBooks
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drcaberry, to RomanceBooks
@drcaberry@blacktwitter.io avatar
synkr3tyk, to music
@synkr3tyk@mastodon.social avatar

Okay, it's time. Time to change servers. Time to have local & federated timelines that don't make my eyes bleed. Time to support an indie effort.

Does anyone want to share about their server? My main interests are - I play , , , and software, with varying degrees of skill - and - I'm attempting to get into grad school for to facilitate a career change. I'm also liberal af, if that matters one way or the other on your server.

mina, (edited ) to fantasy German
@mina@berlin.social avatar

Gefällt euch eine der drei folgenden Ideen für #Fantasy Geschichten

Wenn ja, welche?

Anna arbeitet für die Planungsabteilung der Berliner E-Werke. Bei einer Revision stellt sie fest, dass jedes Jahr etliche MWh Strom unabgerechnet im Stadtbezirk Mitte verbraucht werden.

Als sie beschließt, der Sache auf den Grund zu gehen, stößt sie auf einen zunächst verlassenen scheinenden U-Bahn-Schacht. Als sie jedoch Stimmen hört, versteckt sie sich. Sie fängt einzelne Gesprächsfetzen auf, …

1/6

mina,
@mina@berlin.social avatar

@benni

Jetzt denke ich:

Ich könnte auch mal wieder einen ⁣e-Thread schreiben:

Z.B.: Der Cantor-Staub und das Geheimnis der Überabzählbarkeit.

@IsabVann2

drcaberry, to RomanceBooks
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JeanBaptisteEt4, to math French
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drcaberry, to RomanceBooks
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paysmaths, to mathematics French
@paysmaths@mathstodon.xyz avatar

"Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true." – Bertrand Russell (1872–1970)

drcaberry, to RomanceBooks
@drcaberry@blacktwitter.io avatar
dlakelan, to math
@dlakelan@mastodon.sdf.org avatar

My Mastodon peeps. These days school doesn't emphasize teaching logic and proofs, like they did when I took plane geometry which was really about proof and not really about triangles and such.

Does anyone have suggestions for modern resources I could assign my kids to do beginning proofs? One kid is studying calculus in 7th grade the other is in more normal speed, studying basic algebra. I'd just like to give them maybe a problem a week to prove something but in a thoughtful way.

dmm, to math
@dmm@mathstodon.xyz avatar

Just started writing up a few of my notes on introductory Category Theory. Not much here yet (it took me awhile to get Figure 1 to look right, and it's still not perfect).

In any event, the pdf, such as it is, is here: https://davidmeyer.github.io/qc/category_theory.pdf. The LaTeX source is here: https://www.overleaf.com/read/wnptmrwwfjgv#a36a79. As always, questions/comments/corrections/* greatly appreciated.

#categorytheory #math #maths

drcaberry, to RomanceBooks
@drcaberry@blacktwitter.io avatar
ascherbaum, to ChatGPT
@ascherbaum@mastodon.social avatar

That's what gave me when I asked for a script for a Parabola, and plot a vertical and horizontal line crossing the zero point.

I don't see a vertical line, and neither does it cross or touch the zero point.

The generated plot command:

plot f(x) with lines title "y = x^2 - 4x - 5", \
2 with lines title "Vertical Line" lc rgb "red" lw 2, \
-9 with lines title "Horizontal Line" lc rgb "blue" lw 2

rwxrwxrwx, to math
@rwxrwxrwx@mathstodon.xyz avatar

From the introduction of [1]:

"Our principal ambition for this paper is to make invitations to pure mathematicians to consider deploying constraint logic programming systems to assist in research, and to enthusiasts of the logic programming paradigm to consider applying their skills to problems in Lie theory. To this end we narrate a recent adventure searching for new simple Lie algebras over the field F2 = GF(2) of two elements in dialogue with the Prolog programming environment"

[1] D. Cushing, G. Stagg, and D. Stewart, “A Prolog assisted search for new simple Lie algebras,” Math. Comp., vol. 93, no. 347, pp. 1473–1495, May 2024, https://www.ams.org/journals/mcom/2024-93-347/S0025-5718-2023-03889-3/home.html

#prolog #math

drcaberry, to RomanceBooks
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gimulnautti, to math
@gimulnautti@mastodon.green avatar

Quite an intresting mathematical experiment: Even the infamous prisoner’s dilemma changes to favour co-operation when groups enter the equation!

https://medium.com/predict/the-foundation-of-morality-is-woven-into-the-fabric-of-the-universe-c42c5c27ff0c

drcaberry, to RomanceBooks
@drcaberry@blacktwitter.io avatar
shanecelis, to math
@shanecelis@mastodon.gamedev.place avatar

And Jesus took the two spheres of bread and said, “Want to see something cool?”

https://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox #math

dmm, to ChatGPT
@dmm@mathstodon.xyz avatar

"No, A → B is not equivalent to - B → - A in logic."

Except that the truth table that ChatGPT [1] generated says the opposite. Also, see the law of contraposition [2].

Claude [3] makes the same mistake.

I've had pretty good luck with the chatbots. This is the first thing that I have asked that all of them seem to get wrong.

Interesting.

References

[1] "ChatGPT", https://chat.openai.com

[2] "Contraposition", https://en.wikipedia.org/wiki/Contraposition

[3] "Claude", https://claude.ai

#chatgpt #claude3 #firstorderpredicatelogic #math #maths #logic

smote, to KindActions
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drcaberry, to RomanceBooks
@drcaberry@blacktwitter.io avatar
ai6yr, to math

Holy crap. Someone won the Texas Lotto -- to the tune of $95 million -- by buying every combination of number available. They apparently invested approximately $25.8M to accomplish that. (Paywall busted below) https://archive.is/etkX9

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