Hey y'all, in light of a few recent posts where people have used LLMs to varying degrees in their Desmos graphs, I think we should start a discussion about what AI norms we want to set as a community.
Here's my idea for a best practice:
AI disclosure: you should always disclose if and how you used AI in your graph
for example: "when I was stuck, I asked Claude to help me develop the parametric equations on lines 10 and 11"
for example: "I saw this cool geometric shape on wikipedia and asked ChatGPT to make most of the graph, then I adjusted the numbers a bit to make it look better"
I have a list of boundaries `B = [(-10,1), (1,10)]` and a list of functions `F = [x, x^2]`. I want to write a function that takes that as input and gives back a piecewise function equivalent to
`{-10<x<=1: x, 1<x<=10: x^2}`
I've found a couple ways, but was wondering if there are other ways.
This is my first time attempting to make a full on notebook (and actually finishing it) so idk how good it turned out, but I've made so many projects I ended up not even posting semi recently, I felt like I had to at least post this
In one discussion related to the introduction of matrices in Desmos, I wrote that complex matrices were missing. I was told that a complex number can be implemented by a real 2x2 matrix, and a complex matrix can be implemented by an extended block matrix where each block is an isomorphism of a complex number. That is, we expand a 2x2 complex matrix into a 4x4 real matrix.
On one hand, this is a solution; on the other hand, we can compute everything on paper without any implementations.
I would like to add that there is not only the classical representation of the imaginary unit as a 2x2 skew-symmetric matrix. In my Desmos graph, I show an entire class of matrices that perfectly supports complex numbers, being an isomorphism. It includes the classical skew-symmetric matrix as well.
The advantage of the classical matrix is that it supports the classical geometric representation of the complex plane and the multiplication operation on this plane as a 90-degree counterclockwise rotation. In the extended class, this is just a special case.
I graphed 2 circles, a X, and graphed the intersect points of the blue circle, the red circle is a bit smaller then the blue circle since they are the landings of sin(x) from pi to 2pi