Agastya

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Agastya

Agastya

@botanisant

Consolidate the surface of human knowledge . Synesthesia can be taught . I like the technovitalists

Katılım Şubat 2022
167 Takip Edilen88 Takipçiler
Mathelirium
Mathelirium@mathelirium·
I'm taking requests. What would you love to see visualized?
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Matt Kramer 🔪
Matt Kramer 🔪@kramerposts·
if you were going to write a book based on an idea or concept that feels central to your life, and then a sadistic man put a gun to your head and said: "summarize your book in one sentence. make it perfect, or else 🔪" What would your one sentence be?
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Agastya
Agastya@botanisant·
The little blue ‘save’ ribbon is less of an “I’ll go back to this later” and more of an “if I tap a second, different color button, I’ll be less likely to forget this post” Some day I’ll go thru my saves and, having never optimized the process, drown in noise and walk away empty
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Agastya
Agastya@botanisant·
@QiaochuYuan Oh WOW so x^2=-1 is imaginary because NEGATIVE NUMBERS ARE IMAGINARY HOLY F UUUUUCK
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QC
QC@QiaochuYuan·
funnily enough the deeper you go into mathematics the more suspicious negative numbers seem. it becomes increasingly meaningful that there's no such thing as, like, -1 apples, as they say. addition is very straightforward but subtraction is surprisingly often bizarre black magic i can't think of a really simple example but here's a calculus example. so the taylor series of e^x goes e^x = 1 + x + x^2/2! + x^3/3! + ... and so forth. when x is positive this is all fine and dandy, each of these individual terms is an increasing function and you add them up and you get a really quickly increasing function, an exponential curve when x is negative something really strange happens. e^x decreases as you get negative, e^{-10} is really small, e^{-100} is tiny. but the individual terms of the taylor series are getting much larger! the taylor series expansion e^{-100} = 1 - 100 + 100^2/2! - 100^3/3! +-... results in a number whose decimal expansion starts with 44 zeroes, it is absolutely tiny. and yet the largest term in the taylor series expansion (it's a nice exercise to figure out what term this is and why, take a few seconds to try before reading on) is 100^100 / 100! which is a 1 followed by 42 digits it's almost a googol times bigger than the final result! which means this whole taylor series expansion involves a really insane amount of very precise cancellation, even though if you didn't know this was the taylor series expansion of e^x you'd have no way of knowing this a priori and it wouldn't be remotely obvious staring at the series from first principles
davidad 🎇@davidad

It seems odd that there’s a rough societal consensus that 1+x=0 needs to have a solution—and that it’s not just an imaginary number to appease the accountants—but 1+x²=0 need not have a solution, unless it’s an imaginary number to appease the physicists and electrical engineers.

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Agastya
Agastya@botanisant·
@madeofmistak3 If you account for the clock drift in the entangled minds it is simultaneous
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madeofmistake
madeofmistake@madeofmistak3·
are psychic communications instantaneous or are they limited by the speed of light?
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Agastya retweetledi
Laocoon of Troy
Laocoon of Troy@LaocoonofTroy·
"Metropolis II," by Polish painter, Jacek Yerka, 1989.
Laocoon of Troy tweet media
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Agastya
Agastya@botanisant·
when I see someone repost an artist saying “this is breathtakingly amazing” it takes away a lot of the impact
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Taijitu Observer
Taijitu Observer@taijitu_sees·
@botanisant @agraybee I was talking to marine biologist and they were researching seaweed for human consumption and said it's a good source of protein. Asked for the amino acid profile and they blanked out and started talking about its iodine content and other nutrients.
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Agastya
Agastya@botanisant·
@RonenV I’m afraid you’d just end up with Star Wars
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Ronen▼
Ronen▼@RonenV·
"dune but use the equivalent designs from star wars"
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Agastya
Agastya@botanisant·
@noveltokens Someone had Melody Rotator as their bio and I was like “follow”
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マガイト
マガイト@mamelong_ss·
赤いチューリップ3色になってた
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Agastya
Agastya@botanisant·
It’s honestly great that AI hallucinates n% of the time because if it always told the truth we would have shut that shit down So fast
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Agastya
Agastya@botanisant·
@eshear Words are shadows of high dimensional shapes, projected onto a low dimensional screen I like this model bc it tracks with how shifty/subjective the meaning of words can be, and why it’s so difficult to model this x.com/taijitu_sees/s…
Taijitu Observer@taijitu_sees

Turns out everything in existence is connected. There's probably some fairly low level of semantic space that's in common with humans. This can be interesting, but the uncommon areas might be even more fascinating.

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Emmett Shear
Emmett Shear@eshear·
Numbers are (potentially very large) points in some state space. Words are shapes, which is to say high dimensional subspaces or distributions, in those same state spaces. So the real question is whether you can get your precision high enough to start rotating words directly.
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tautologer
tautologer@tautologer·
LLMs predict the next token in the same sense that humans predict the next body motion
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