Long tunnel is long https://youtu.be/gfPM4I_4KQ8
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@lagomoof
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Xennial burnout; Trivia sponge; Comfort zone junkie; IT savvy; Introverty; Mathemadoodler; Friend to imaginary friends
2026 = 254³ - 251³ - 83³
The number of iterations of x → x-√x to get to 0 is approximately 2√x - ln(x)/4 - 1. For sufficiently large x, this approximation differs from known true values by approximately 0.069555. The meaning of this constant is a mystery (to me).
A pretty variant of the Mandelbrot fractal that looks like a bee! The name "Mandelbee" doesn't seem to be taken so that's what I'm calling it. #math #maths #fractal #mandelbrot #mandelbee
Is it always the case that for multiples of 12 (except 12 itself), there exists at least one pair of primes p and q that not only sum to that multiple of 12, but also that their difference is twice a prime?
If not, what's the smallest multiple of 12 (after 12) where this fails to be the case?
So it turns out that this ε is equivalent to the nilpotent matrix [[-1,0],[0,0]] and these pairs (a+bε) are similarly equivalent to the matrix form [[a-b,0],[0,b]]. Nothing special, but still an interesting little toy.
#maths #math #mathstodon
#maths #math #mathstodon
What algebra is it where there's an element ε such that ε² = -ε, but that ε is not 0 or -1?
Does this have a name? Specifically or generally.
It seems to be fairly robust and work similarly to Dual numbers, but there are some critical differences.
For example, the "conjugate" of (a+bε) in this system would appear to be (b-a+bε).
Where there's a will, there's a way.
Where there are two, there's a war.
#Bundles schmundles. Turn them into backpack tiers. 3 tiers, 9 extra inventory slots per tier. Add a scaled speed debuff so that if all 27 slots are full, player moves at 50% speed. But if all empty, no debuff. #Minecraft suggestion.