371486
Tom Conlan
@tomconlan #371486
I’m working on learning math
399 Follower 181 Following
if Arbitrum and OP-stack L2's are both slightly modified versions of Geth, does this equate to poor client diversity for L2's? If there is a bug in Geth do we lose many of the L2's as well as the layer 1 Geth nodes?
I don't have many follows but I'll throw the question into the farcaster aether anyway, is anyone interested in a dedicated channel for Epistemology? My personal casting will mostly relate to how our emotions effect learning. Atm I'm particularly interested in better understanding the phenomenon of cope. lmk. If demand I'll create.
spotted a little cardiod in the wild at dinner on Friday night
With the right large algorithm the entire works of Shakespeare can be extracted from any random data.
With the right small algorithm, e.g. understanding English, the entire works of Shakespeare can be extracted from the entire works of Shakespeare.
In each case the entropy of the system is the same. Either you need an algorithm that can extract the works of Shakespeare from randomness, in which case the algorithm will have entropy equal to the works of Shakespeare itself, or the algorithm will be small (understand English) and the data will be patterned (Shakespeare).
So
entropy(massive_algorithm(randomness)) = entropy(understand_english(works_of_shakespeare))
This is why the factoid that the entire works of Shakespeare can be found within the digits of pi is not as awesome as it initially seems. This is true for literally any data set in the universe, given the right algorithm.
Either the information is in the data set and the algorithm is small, or the information is stored in the algorithm.
With the right small algorithm, e.g. understanding English, the entire works of Shakespeare can be extracted from the entire works of Shakespeare.
In each case the entropy of the system is the same. Either you need an algorithm that can extract the works of Shakespeare from randomness, in which case the algorithm will have entropy equal to the works of Shakespeare itself, or the algorithm will be small (understand English) and the data will be patterned (Shakespeare).
So
entropy(massive_algorithm(randomness)) = entropy(understand_english(works_of_shakespeare))
This is why the factoid that the entire works of Shakespeare can be found within the digits of pi is not as awesome as it initially seems. This is true for literally any data set in the universe, given the right algorithm.
Either the information is in the data set and the algorithm is small, or the information is stored in the algorithm.
to me that felt like the easiest political bet I've been exposed to @polymarket, it was also my first time betting on politics. Time to get overconfident and lose it all!
simply insane. what a time to be alive
Magma’s are the Eevee of algebraic structures.
A magma consists of a set equipped with a single binary operation that must be closed by definition. No other properties are imposed.
It’s common to find these various algebraic Pokémon in your travels. I like to think of them as evolved Magma’s. If you give your magma an associativity stone it will turn into a semi-group, if you give it the identity stone too it will become a monoid!
A magma consists of a set equipped with a single binary operation that must be closed by definition. No other properties are imposed.
It’s common to find these various algebraic Pokémon in your travels. I like to think of them as evolved Magma’s. If you give your magma an associativity stone it will turn into a semi-group, if you give it the identity stone too it will become a monoid!
Why does Warpcast make me feel like shit? I considering deleting it.
It gives me so many good things, I learn a lot, but the fact is it makes me feel like shit. Can someone explain this to me. I don’t want to throw the baby out with the bath water.
It gives me so many good things, I learn a lot, but the fact is it makes me feel like shit. Can someone explain this to me. I don’t want to throw the baby out with the bath water.
I have found that swiping on socials or flicking through short-videos cuts down the effect of a trip dramatically, up to the point that I can forget im tripping.
I have a theory that this dampening is happening also when one is not on psychedelics, and it accounts for the sickly feeling one gets from rapid content switching.
Has anyone read any research on this phenomenon?
I have a theory that this dampening is happening also when one is not on psychedelics, and it accounts for the sickly feeling one gets from rapid content switching.
Has anyone read any research on this phenomenon?
Tomcon-tan's brain go brrr with math and shrooms, but still can't figure out how to be cool uwu
Create a Waifu based off your FC profile with WaifuCast!
Create a Waifu based off your FC profile with WaifuCast!
Entropy always increases ≈ the universe is non-commutative
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In math, pondering “what is the implication of this”, even for the simplest of statements, is the closest I’ve felt to asking the universe “who are you?”.
I’ve just returned from my first 10-day silent meditation retreat, and it absolutely blew my mind to experience sensations that would normally require 2 grams of dried mushrooms. All from observing the breath!
Trig identities are beautiful once you learn to derive them.
cos(a - b) = cos(a)cos(b) + sin(a)sin(b)
cos(a + b) = cos(a)cos(b) - sin(a)sin(b)
sin(a + b) = sin(a)cos(b) + cos(a)sin(b)
sin(a - b) = sin(a)cos(b) - cos(a)sin(b)
It is more helpful to copy out the derivations than to copy out the identities themselves.
cos(a - b) = cos(a)cos(b) + sin(a)sin(b)
cos(a + b) = cos(a)cos(b) - sin(a)sin(b)
sin(a + b) = sin(a)cos(b) + cos(a)sin(b)
sin(a - b) = sin(a)cos(b) - cos(a)sin(b)
It is more helpful to copy out the derivations than to copy out the identities themselves.
A line that is perpendicular to a circles’ tangent line passes through its center. From Oliver Byrne’s 1847 “Elements of Euclid”.
Are there any special properties of a finite field if it is of a prime order that is also a twin prime (p = 13, p-2 =11), compared to a prime order that is not a twin prime (p = 17, p - 2 = 15) ?
Which is to say, does F(13) have different generalisable properties to F(17)?
Which is to say, does F(13) have different generalisable properties to F(17)?
In the epistemic hierarchy built-things sit above expert opinion.
I’m Volunteering @EthGlobal Sydney, a weekend hackathon from May 2-5.
Apply to participate here:
http://www.ethglobal.com/events/sydney
See you all there
Apply to participate here:
http://www.ethglobal.com/events/sydney
See you all there
It’s a beautiful afternoon in Canberra for lsd 🌅
Acting nonchalant with one’s wealth was not created in crypto, wealthy people have always traded money for reputation and friends.
I’m unclear what’s magical about it.
I’m unclear what’s magical about it.
The Kyle Davies episode on Unchained is a perfect example of the types of personalities to avoid.
Maybe before the crossover the feeling is that we have learnt most of what there is to learn about the game, and that the World Champ is approaching the asymptote of theoretically perfect play. After the crossover this vanishes, we see our mountain is a local maximum, curiosity is reborn.
Probably Queens Gambit tho.
Probably Queens Gambit tho.