Anime i recently watched
2022
- kiki’s delivery service
- the tale of the princess kaguya
- re:zero s1
2020
- detective conan all eps
2019
- tokyo ghoul s1-3
- demon slayer s1
2017
- age 12 s1-2

It’s been 7 yrs since i decided to watch Your Name.
heard it’s a fad.

or at least 3, to play the game of life.

i want 10 friends to play a game of werewolf (aka mafia).

i’m currently organizing my research.
https://min.togetter.com/id/yuuki26

this is called a generating function n was discovered by de Moivre in the 18c, according to wiki.

seems using aₙ = aₙ₋₁ + aₙ₋₂, it follows
𝑓(x) = x/(1 - x - x²).

n some reasoning leads to
aₙ = (ϕⁿ - (-ϕ)⁻ⁿ)/√5.

• Recurrence relation
seems one way to find an exact formula for a sequence like
aₙ = 1, 1, 2, 3, 5, 8, …
is the “inverse of the Taylor expansion.”

its known that
eˣ = 1/0! x⁰ + 1/1! x¹ + 1/2! x² + …,
but the idea is to find 𝑓 such that
𝑓(x) = 1x¹ + 1x² + 2x³ + 3x⁴ + ….

0.999…=1 is obvious if the lhs is viewed as a limit.
there’s no doubt that 0.999… is getting closer to 1.

• Limit
lim[x→∞] f(x) = L
basically means that the point where the value gets closer (as x gets larger) is L.
nothing more, nothing less.
not smtg like “equals L after infinite steps.”
(idk if such an interpretation is possible in higher math.)

• Consider drawing a figure using only a function that draws a point (x,y) on a plane, say, drawPoint(x,y).

considering drawing a line leads to the equation of a line.

considering drawing a circle leads to trig functions.

however, it was discovered that this can be interpreted as the point (x,y) being moved to (e,f) by the matrix ((a,b),(c,d)). (by Cayley in the 19th century, according to wikipedia.)

so matrix multiplication represents the composition of maps f∘g, and so on.

My current understanding of mathematics.

• Matrices are linear maps.
matrices were historically just a notation for simultaneous equations with coefficients and variables separated.

e.g. writing

ax + by = e
cx + dy = f

as

(a b)(x) = (e)
(c d)(y) = (f).

deleted my ts complex number class.
(archive) https://web.archive.org/web/*/https://raw.githubusercontent.com/yuuki15/Complex.js/main/%2A

i forgot my ROG Phone 5s Pro (2021–2023)

i signed up for Rakuten Mobile n got a Rakuten Hand, then MNP’d to Y Mobile, got an Oppo n cancelled immediately.

I bought Rakuten Hand 5G for $10 n Oppo A55s 5G for $20.
(i never use multi acc. just use the same acc on multi devices.)

please refer to my channel for details.
https://www.youtube.com/@yuuki15

reposting my face for new ppl

i’m ngsb.¹ i never drink or smoke. my trainer level is 50. things i didn’t include.

¹ no girlfriend since birth

i mean, it’d be nice to know what background ppl r tweeting from.

Created my biodata.
𝕏 should’ve this feature so we can see what 📱 ppl r using in the iphone vs android war.
https://docs.google.com/spreadsheets/d/1hxW9GeBESb7CE66FCfcD5RXLQYIQsioALn0hLodsZsc/edit