The sudden jump was insane for those who caught it.
This could be the easiest 15% in a few hours or day.
Remember that Claude Fable will also count as Mythos class release.
Proof:
[Lemma] sum(i=1..x) [degree n-1 polynomial] = [degree n polynomial]
Proof of lemma:
* Notice that x^n - (x-1)^n = x^n - x^n + nx^(n-1) - ... +- 1 = [degree n-1 polynomial, call it C(x)]
* Hence by telescoping sums, sum(i=1..x) C(i) = x^n
* Given any specific degree n-1 polynomial D(x), re-express it as D(x) = some k * C(x) + [deg <= n-2 stuff]. By induction on n, and by linearity, sum(1..x)D(i) = k * x^n + [deg <= n-1 stuff].
Therefore, sum(i=1...x) i^3 is degree 4, and (sum(i=1...x) i)^2 is degree 2*2 = 4.
Now, explicitly evaluate (sum(i=1...x) i)^2 and sum(i=1...x) i^3 on x=1...5, answers are: 1, 9, 36, 100, 225 in both cases
The two deg-4 polynomials are the same on five points, therefore they are equal
Therefore sqrt(sum(i=1...x) i^3) = sum(i=1...x)
@cobie@karlokor3n 1. Rasmr
2. FrankDegods
3. Gainzy
4. Ben Pasternak
5. Orangie
6. KookCapital
7. Hayden Devis
8. Brian Armstrong's Dog
9. German Govt Officials
10. SBF & CZ (Finale)
a small account with just intuition and no network access, literally ate your favourite kols alive
Alhamdullilah
its been a year since this post
i dont even have to let you know what has changed
it was probably the first time i got annoyed by the dumb shepherd letting all sheep into just one pasture, ignoring the greener lands far away
always keep the door open for exit
always try to figure out where the attention will go next
as for me , i am always a nomad looking out towards the stars in the sky