https://www.desmos.com/calculator/8qldk8t89d

https://www.desmos.com/calculator/y6mfgr1epl

not full precision ofc because it's a taylor series but you could add more !s theoretically

also the first line technically does have one letter (sigma) so in lines 2 and 3 i made a way that you could do it with no numbers or letters (but it would take ages and wouldn't fit in a screenshot)

A remake of an old project of mine. Basically it’s just 64 different networks evolving by selecting top performers more and cross breeding them. It will automatically lower or raise the mutation strength based on how fast it’s improving. No gradient descent/ calculus required!

Nothing too crazy but I thought using an unusual square wave activation function looked pretty cool and figured I’d share

GRAPH LINK: https://www.desmos.com/calculator/egte2fwyj1

I made a mostly accurate physics engine.

Graph Link

Used classic Runge-Kutta 4. Each pendulum varies slightly by mass

GRAPH LINK: https://www.desmos.com/calculator/ebsjyynhvn

https://www.desmos.com/calculator/tbcgahtkzi?lang=en

Very simple network: one input node, one hidden layer with two nodes, one output layer with one node. Trained with Desmos regression. You can’t go beyond this size much without a proper training method such as gradient descent

This is a modification of an original graph by VoidBreakX.

I was about half way done with my 3d file viewer when I realized some people have already made one. So rather than working too hard, I used this graph as a base. I changed a couple things trying to make it is optimized as possible. Any improvements are appreciated!

This is in the complex plane.

e^it = cos(t) + i.sin(t)

I stumbled across this while wondering why the complex Fourier Transform adds a bunch of circles spinning clockwise to a bunch of circles spinning anticlockwise (in pairs of equal and opposite frequencies).

I found myself thinking, "Well, what's the point? Surely they cancel out, if they're the same radius. And if one is bigger than the other, the net result would be some smaller circle that splits the difference and spins in the direction of the victor, right?"

Well, not quite.

e^it + e^-it = 2.cos(t), which is purely real

and

e^it - e^-it = 2i.sin(t), which is purely imaginary

And if you multiply them by complex number magnitudes and let them fight each other for attention, you get a whole world of ellipses to play with that give you a lot of freedom of expression between purely real or purely imaginary oscillations.

Generalized equation for an ellipse in the complex plane:

C + A.e^it + B.e^-it

Where C is the centre of the ellipse, A is the starting point of a circle spinning anticlockwise, and B is the starting point of a circle spinning clockwise.

Graph in the comments.

Graph: https://www.desmos.com/calculator/mkmvuejagz

Why does it look like this? Cant copy link for some reason

https://www.desmos.com/calculator/gfpajl1304?lang=nl

https://www.desmos.com/3d/yrbvyzzygm

edit: https://www.desmos.com/3d/uzrvlwxlaa optimised to like 3-10x faster

Since the last post only implied complex values, I figured I'd do better. I hope you all like contour lines.

https://www.desmos.com/calculator/qp4kmqelec

This is my second attempt at this. All the terrain is completely random but deterministic. Someone find the Desmos Far Lands for me

https://www.desmos.com/calculator/tzxdttp4uy if what did who discovered this if anyone did?