Ace

Mathematician

Twitch:

[Ace @mathace_xiom]

If I ever start streaming on Twitch, the very first thing I’m doing is challenging a VTuber to a chess match.

Spoiler: I suck at chess.

[Mathematica @mathemetica]

Every periodic signal is just a stack of pure tones.

A square wave collapses to odd cosines scaled by 4A/(nπ) sin(nπ/2). Shift it and the same amplitudes become sines. A pulse train keeps the duty-cycle factor (Aτ)/T₀ plus the sinc envelope (2A/(nπ)) sin(nπτ/T₀).

Triangles decay as 1/n², sawtooths as 1/n with alternating signs, and both rectified sinusoids isolate their known DC offsets 2A/π and A/π together with the surviving even harmonics.

The pictures and the sums are the same object seen two ways.

Smoothness is nothing more than how fast those coefficients vanish.

[Ace @mathace_xiom]

@BedeeliaVT https://t.co/YqgXhBRhyM

I stream usually on saturdays at 9 am or 1 pm in PHT. Depends if I feel like streaming generally. I don't have a fixed schedule lol

[Ace @mathace_xiom]

@LadyMizuki8 Science taught me never to accept anything without hard evidence. If you want me to trust you, prove it that I can.

[Ace @mathace_xiom]

@chesscom OH YEAAAAAH HIKARU NAKAMURA

[Ace @mathace_xiom]

@JonnyRyushi

[Ace @mathace_xiom]

@bonniecdraws You are here and not here at the same time until observed

[Ace @mathace_xiom]

@MycenaXanh Anyways, time to jumpscare you back

[Ace @mathace_xiom]

@ShekaiGoto You forced my hand to disprove your claim.

[Ace @mathace_xiom]

@Pontifex I respect you for that statement, Holy Father Pope Leo XIV

[Ace @mathace_xiom]

@MathMath901 This is just sophomore's dream ngl

[Ace @mathace_xiom]

@ThankGod1903 You could've went for Qf6 and then if Rxf6 then bhxf6# 😔

[Ace @mathace_xiom]

It gets me curious because since I interact with many vtubers here on 𝕏, I wonder what's their reaction the moment they check out my reposts? 🤔

[The Scientific Lens @LensScientific]

A hot object has slightly more mass than the same object cold. Adding internal energy increases its rest mass by Δm = ΔE/c²

The change is tiny because c² is enormous. Mass–energy equivalence applies to everyday heating as well as nuclear reactions. Even an object at rest carries energy.

[Ace @mathace_xiom]

@ai_meh_s It's 81

[Ace @mathace_xiom]

@antwanetteVT I would if you can beat me in a game of chess

[Mathematica @mathemetica]

Why does a surface’s steepness depend on the direction you walk?

For z = f(x, y), the partial ∂f/∂x is the rate of change when only x varies and y is held fixed. ∂f/∂y does the opposite. Those two numbers are the slopes of the blue and red curves on the surface.

Every gradient-descent step in machine learning is built from them: backpropagation differentiates the loss with respect to each weight while the others stay constant.

[Ace @mathace_xiom]

@itsliliavtuber A prime number is a number (positive integer) greater than 1 where you can only divide it evenly with 1 and itself.

For example, 2 is a prime number because the only numbers you can evenly divide to 2 is 2 and 1

[Mathematica @mathemetica]

Behind every intelligent algorithm lies the quiet power of geometry in motion.

From transformations written as Ax = y to optimal approximations formed by x̂ = (AᵀA)⁻¹Aᵀb, linear algebra turns abstract multi-dimensional spaces into actionable human insights.

Matrices do not merely calculate, they hold the entire geometry of intelligence.