#maths posting

[kale-slice]

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

HEY I ALREADY POSTED THEM ALL JUST,, CHECK THE RBs IT'S IN THERE SOMWHERE

[bread-126]

to find a counterexample you have to think like a counterexample

[nekoflor]

The statement "Big if true" necessitates the existence of the equivalent contraposition "False if small".

[fireemoji1f525]

Are you an aspiring math major, but don't know what your field of study should be? Consider using this flow chart to help determine what you should focus on!

This is an updated version of a previous chart I made, shoutouts/heads ups to the following

@algebraic-dumbass I used smartdraw for the first one (I screenshotted instead of paying) but since the scope expanded I figured screenshotting wouldn't work well here, and so I used draw.io here. Thanks again for the idea!

@spinspinspinspinspin @renew-world I have tried to include some more algebra here!

@eulers-biggest-fan @khnuvr @zahlenfreak I have now included combinatorics (and friends?)

@the-least-undefinable-ordinal I had no idea where to put set theory I am so sorry. I had the idea for a prompt ('Do you want people to wildly underestimate how complicated your field is?') but couldn't find a place to slot it

@mathemagicalfae I added in math education and actuarial science (I can't believe I didn't think of those)!

Also thank you to everyone saying this is accurate or that they followed it and landed on their specialty. If you couldn't tell from the above @'s I did read every tag <3

[cauchyfeelings]

All math jokes aside (for now), we're generally first taught to "solve" problems in math and I think that may be where math loses a lot of people because the intuition doesn't come easily. It's plug and chug and input and output and you don't really get to "understand" the nature of it.

As you continue (if you should choose to do so) math becomes more abstract because it's not necessarily about plugging and chugging and solving (although yes you do need to solve it lmao). It's more about how to visualize and see the "nature" of the problem, how to see the entire system as a whole. This is where representation and structure start to matter because now it's about perspective. Understanding the system through different lenses.

You intentionally have to choose a space, coordinate system, etc. to "uncover" the structure because different representations illustrate and emphasize different properties.

We must be intentional with how we choose to "manipulate" the system because we're not just trying to "solve" something we're trying to understand what's actually happening. And this is where you have to be patient because the math might not come out clean or sometimes it doesn't work out on the first try etc. It might be a bit frustrating but math requires patience because it reveals itself slowly.

And for me personally this is where I find the beauty in math.

Some might not have the patience and might get frustrated because what they tried didn't work out or it becomes too complicated or simply because it just takes too long (I know I still get frustrated as well). But if you look at math as a relationship you'd understand how patience and being intentional and looking at different perspectives is so valuable.

Understanding anything deeply whether it's math people relationships etc requires patience intention and openness. And it's in that understanding that makes it beautiful.

Heck to take it one step further I argue it's in the endurance and slowness that you start to fall in love with things. I believe this is why modern day hustle culture and grind and all that overlooks slowness because it wants what is quick hitting and dopamine inducing only to feel unresolved and on the search of "whats next" rather than staying long enough to uncover "whats deeper".

Sometimes love is just staying.

[desmos-calculator]

y'know, one of the goofiest things I've learnt from the desmos community is that { } with nothing inside equals 1

but that's not just it, you can also add { }s

and it functions just the same as adding 2 1s

but therein lies the funniest part, that you can perform almost any function on it, from minus

to exponents

to even factorials!

and lists too!!!

you can even compare solutions of { }s in { }s

there's almost no restrictions, if you can do it with numbers, you can do it with { }

and this leads me to what I've seen a lot of people calling "desmosfuck" after the infamous programming language brainfuck, and it restricts you by not allowing any letters and no numbers, that includes sin, log, x, y and all the others. The only thing you can make out of { }s are points and numbers though, but thankfully that's usually enough to make a bunch of stuff.

like, if you need π, just use (-0.5)!^2

you need e? you already have π and i, just use e^(iπ)=-1 and rearrange it to e=-1^(1/(iπ)) and get -1^((π^-1)(i^-1))

want phi? sure, just use it's surd representation of (1+sqrt(5))/2

okay, but what if you really wanna do functions? well, if you're desperate, you can sorta do that, you just gotta use a concentration of points.

cos(x) and sin(x)? use the identities

cos seems easier

and x just has to be a dense list of numbers

now that we have x, let us... REWRITE!

that's dense... buuuut, it does the job as soon as we add the x part to the x coordinate!

absolute insanity

you can also get sin by subtracting x by half of pi

awesome

here's tan, btw

go play around with it yourself! it's very silly

[iwillsurvivecollege]

sin²x + cos²x = 1 (sweet nice lovely very demure very cutesy vibes 🎀)

cosh²x - sinh²x = 1 (ABSOLUTE OMINOUS VERY EVIL VIBES 😈)

[neatlymanifolded]

Definition 1.0. Let this be a post.