Ultrio's math blog

ultrio's math blog (mostly nerdy stuff)

[ultriomafscomputer]

Probably the last thing you expected

Yup, that's right, a math blog from this lil old pc

if you ended up here it's probably by accident

that or you were curious enough to click on whatever link I sent you

either way welcome to my math blog, enjoy the brainmelt

Note: handwritten posts are my thought process, and LaTeX posts are actual solutions/proofs

[ultriomafscomputer]

n-dimensional Simplex n-measure formula

I don't know what to call the equivalent of length, area and volume in higher dimensions, so I'm calling it an n-measure with a 2-measure being area, 3-measure being volume and etc.

I derived this by myself after getting the inspiration from a 3b1b video, though this is already common knowledge amongst mathematician specializing in multidimensional geometry

[ultriodoodlers]

trust me if you asked me to prove something with AM-GM ineq. my brain will just crash

[ultriomafscomputer]

fuck wrong blog, oh well I guess the artists will have to get exposed to THE LIGHT OF THE N-SIMPLEX FORMULA

[ultriomafscomputer]

I had to explain a complex analysis meme to a friend which meant I took 11 days of my life cramming basic complex analysis into my brain

my head horts

edit: the contour Γ is the classic semicircle around 𝑖 and all

[mathematical-apprentice]

I'm curious, what was the joke?

[michaelrotonal]

I'm also curious, what was the joke?

[ultriomafscomputer]

[ultriomafscomputer]

n-dimensional Simplex n-measure formula

I don't know what to call the equivalent of length, area and volume in higher dimensions, so I'm calling it an n-measure with a 2-measure being area, 3-measure being volume and etc.

I derived this by myself after getting the inspiration from a 3b1b video, though this is already common knowledge amongst mathematician specializing in multidimensional geometry

[ultriomafscomputer]

I had to explain a complex analysis meme to a friend which meant I took 11 days of my life cramming basic complex analysis into my brain

my head horts

edit: the contour Γ is the classic semicircle around 𝑖 and all

[ultriomafscomputer]

NEW QotU on my website

Text ver:

Given z(θ)=13𝖾𝗑𝗉(2⁄17𝑖θ) and w(θ)=23𝖾𝗑𝗉(2⁄29𝑖θ), find θ∈ℝ such that:

¬[z(θ)<0]∧¬[z(θ)>0]

-w(θ)≤z(θ)≤w(θ)

z(θ)w(θ)<>0 (where a<>b⇔ab)

Note that neither grater than nor less than are well-defined in ℂ-ℝ.

[ultriomafscomputer]

it has come to my attention that this blog is, in fact, an aneurysm simulator for some

on an unrelated note please reblog as much of my posts as you can in the off chance I post ☺

we will give brain hemmorage to everyone

[ultriomafscomputer]

Integration practice - Fraction Decomposition

Absolute beaut if I do say so meself

(I don't know what accent I'm doing)

[ultriomafscomputer]

Recap of the stuff I learnt today

I learnt a cool algebra manuver and also the AM-GM inequality today