noelements-setempty

[noelements-setempty]

Remember:

A squarefree integer is not divisible by any square number apart from 1, and is happy that way because it would prefer not to have square factors.

A squareless integer would actually love to have square factors, but it's been unable to get any square number greater than 1 to divide it.

[noelements-setempty]

[noelements-setempty]

reasons to do math

because it's beautiful

because it's cool

because it will scratch my brain right when i understand the thing

because i haven't understood the thing, and that deeply bothers me

the thing is looking at me from my whiteboard. it's mocking me. i can feel it

i'm gonna go back to the thing

[noelements-setempty]

things i wish i could visualize in my head:

a klein bottle without self-intersections

a hypercube where all walls actually look straight and at 90 degrees from each other (no projections! the actual thing!!!)

the Long Line

something else (i forgot)

[noelements-setempty]

I need that HRT that turns you into a mathematical object

[noelements-setempty]

in my regime all ads will be replaced by ads of mathematical objects

[noelements-setempty]

If I made the rules, mathematicians would be obligated to wear wizard cloaks. Or robes or hats. Not like, legally or anything, just in a social obligation "it would be kinda weird if you didn't, because that's just what they do" kind of way

[noelements-setempty]

The signs as different-order derivatives of e^x

Leo: e^x

Libra: e^x

Cancer: e^x

Virgo: e^x

Aries: e^x

Sagittarius: e^x

Aquarius: e^x

Gemini: e^x

Scorpio: e^x

Taurus: e^x

Capricorn: e^x

Pisces: e^x

[noelements-setempty]

moving into a non-abelian accommodation such that you don't have to commute

[noelements-setempty]

This full binary tree branches out over 8 levels 🌿✨, stitched with stem stitch and dotted with French knot leaves. Who knew recursion could look so cute? Template in my blog description if you want to stitch your own!

[noelements-setempty]

i have a folder dedicated to "bad math memes" i made on mspaint in 2022. a friend of mine said tumblr would eat them up? but you know... i'll post one just to test the waters

[noelements-setempty]

It's amazing that if you know enough non-essential math, you will know that you cannot end an exclamatory sentence with a number, or you will be made fun of on the internet, but you have to be such a nerd to know you can't do that.

[noelements-setempty]

hey I think I may have just solved 3x+1 (I'm not kidding)

i deduced that 17772^^^330000088880001 - 6 goes into a loop.

proof is here

https://youtu.be/xMHJGd3wwZk

The proof is in a youtube video because this askbox is too small to contain it...

[noelements-setempty]

For me, finding an identity label is like finding the orthogonal projection of a vector. Namely, the projection fails to encompass the entirety of the original, but is as close as you can get in a given dimension. And that I've been known to approximate either and call it a day. As a mathematical blog, what are you thoughts, and how far can we carry the metaphor?

That's a really good comparison! Something is always lost when you reduce the dimension. The comparison with identity labels reminds me of 4D to 3D projections specifically because those are often done so that something can be visualised, and choosing an identity label is often done in part so that other people can get a (limited) understanding of you.

[noelements-setempty]

I forgot about this post but yes, it's about multiplication and divisibility by each number 2 to 10. I left out 1 because obviously that's just the whole thing coloured in solid, which isn't very interesting.

I started out knowing that the prime numbers were gonna make those lattice formations, but wondering what patterns I'd get from the composite numbers.

Shout out to the person who said 'alien pride flags'. They do look kind of flag-like.

Challenge of the day: what are these?

[noelements-setempty]

0⁰=0 and 0⁰=1 are both true statements mathematically speaking. Why?

It was a dying prank of the math goddess Pemdas. She was also responsible for original (sin), but that would be going on a tangent.

[noelements-setempty]

My perfect day is ruined 💔

I am going to steal your blog and post nothing but those ambiguous order of operations memes

Good morning mathematicians, I wish you all a perfect day