#cw: math

[laiuoes]

the haters will say there’s no point in using CORDIC in a microprocessor with a hardware multiplier but what the haters don’t know is that I’m a fucking dumbass

[mantacid]

Fuck me.

I Have to get two dental procedures done in one sitting, and my insurance caps at $1500. That’s only a little more than what I, a minimum wage worker, make in 6 weeks.

The bill is over $5000. For me to pay off the remaining $3500 would take me 14 weeks.

But wait! This assumes I’m working 4 hours a day, four days a week. This may not seem like a lot, but I’m fucking disabled, and get exhausted after THREE hours.

Even if I ran myself on empty and worked four hours a day (with no breaks because idk that’s probably not legal), five days a week, it would take THREE MONTHS WORTH OF PAYCHECK TO PAY THE $3500 THAT MY INSURANCE WONT COVER.

THAT IS A QUARTER OF A FUCKING YEAR.

But what about under my current hours? Well, that comes out to:

ONE THIRD OF A YEARS WORTH OF INCOME.

And I’m one of the lucky ones who lives in a state with a high minimum wage.

Fuck this. Fuck capitalism.

Fuck insurance.

[larabar]

sonic fun! sonic fun!

[ionomycin]

Welcome home

[mantacid]

These are great! I would also like to add my own principles for learning math, but tailored to a more exploratory-for-the-sake-of-the-journey kind of application. This approach treats math more like a game than a strictly academic pursuit; an approach and framework I wish more people used when learning in general. So without further ado, I present:

Mantacid’s Three “Fucks” of Mathematics:

1. Fuck around, then find out.

Just ask weird questions, and try to answer them. Why are the numbers one less than every fifth multiple of 6 (starting at 1, not 0) always a multiple of five? If x is less than or equal to n and y<n, what is the smallest valued element of the set of answers to x-y, given x and y are real numbers (my money is on epsilon)? How much wire do I need to power my house via geomagnetic pole reversal? Just go ham with it, look for patterns, always explore things further. You will certainly find something interesting.

2. Fuck it, we ball.

Don’t be afraid to be wrong; It’s the first step to being right. You see a pattern in something? Study that. Ask questions about it. When hearing about a problem that has remained unsolved, think “Sure, I like a good challenge.” Doesn’t matter if anything comes of it, you will get better at mathematic reasoning regardless of how your exploration into the subject goes. And if something does come of it, congrats! Write it down; There may be prize money to collect!

3. Fuck that guy, I did it better.

You’ll find that you often end up rediscovering things that others talked about already. That’s okay, just keep going with it. Sure, Bernoulli and Goldbach already said that the only nontrivial integer coordinates on the curve x^y=y^x are (2,4) and (4,2) but there’s so much they didn’t discuss, Like how the trivial and nontrivial values “intersect” at (e,e). Maybe try to extend the domain of the function to imaginary values as well. Don’t let loss of novelty dissuade you from exploring a beautifully abstract realm of ideas, patterns, and connections. There’s always more to discover, just ask Kurt Gödel.

tips for studying math

I thought I could share what I learned about studying math so far. it will be very subjective with no scientific sources, pure personal experience, hence one shouldn't expect all of this to work, I merely hope to give some ideas

1. note taking

some time ago I stopped caring about making my notes pretty and it was a great decision – they are supposed to be useful. moreover, I try to write as little as possible. this way my notes contain only crucial information and I might actually use them later because finding things becomes much easier. there is no point in writing down everything, a lot of the time it suffices to know where to find things in the textbook later. also, I noticed that taking notes doesn't actually help me remember, I use it to process information that I'm reading, and if I write down too many details it becomes very chaotic. when I'm trying to process as much as possible in the spot while reading I'm better at structuring the information. so my suggestion would be to stop caring about the aesthetics and try to write down only what is the most important (such as definitions, statements of theorems, useful facts)

2. active learning

do not write down the proof as is, instead write down general steps and then try to fill in the details. it would be perfect to prove everything from scratch, but that's rarely realistic, especially when the exam is in a few days. breaking the proof down into steps and describing the general idea of each step naturally raises questions such as "why is this part important, what is the goal of this calculation, how to describe this reasoning in one sentence, what are we actually doing here". sometimes it's possible to give the proof purely in words, that's also a good idea. it's also much more engaging and creative than passively writing things down. another thing that makes learning more active is trying to come up with examples for the definitions

3. exercises

many textbooks give exercises between definitions and theorem, doing them right away is generally a good idea, that's another way to make studying more active. I also like to take a look at the exercises at the end of the chapter (if that's the case) once in a while to see which ones I could do with what I already learned and try to do them. sometimes it's really hard to solve problems freshly after studying the theory and that's what worked out examples are for, it helps. mamy textbooks offer solutions of exercises, I like to compare the "official" ones with mine. it's obviously better than reading the solution before solving the problem on my own, but when I'm stuck for a long time I check if my idea for the solution at least makes sense. if it's similar to the solution from the book then I know I should just keep going

4. textbooks and other sources

finding the right book is so important. I don't even want to think about all the time I wasted trying to work with a book that just wasn't it. when I need a textbook for something I google "best textbooks for [topic]" and usually there is already a discussion on MSE where people recommend sources and explain why they think that source is a good one, which also gives the idea of how it's written and what to expect. a lot of professors share their lecture/class notes online, which contain user-friendly explenations, examples, exercises chosen by experienced teachers to do in their class, sometimes you can even find exercises with solutions. using the internet is such an important skill

5. studying for exams

do not study the material in a linear order, instead do it by layers. skim everything to get the general idea of which topics need the most work, which can be skipped, then study by priority. other than that it's usually better to know the sketch of every proof than to know a half of them in great detail and the rest not at all. it's similar when it comes to practice problems, do not spend half of your time on easy stuff that could easily be skipped, it's better to practice a bit of everything than to be an expert in half of the topics and unable to solve easy problems from the rest. if the past papers are available they can be a good tool to take a "mock exam" after studying for some time, it gives an opoortunity to see, again, which topics need the most work

6. examples and counterexamples

there are those theorems with statements that take up half of the page because there are just so many assumptions. finding counterexamples for each assumption usually helps with that. when I have a lot of definitions to learn, thinking of examples for them makes everything more specific therefore easier to remember

7. motivation

and by that I mean motivation of concepts. learning something new is much easier if it's motivated with an interesting example, a question, or application. it's easier to learn something when I know that it will be useful later, it's worth it to try to make things more interesting

8. studying for exams vs studying longterm

oftentimes it is the case that the exam itself requires learning some specific types of problems, which do not really matter in the long run. of course, preparing for exams is important, but keep in mind that what really matters is learning things that will be useful in the future especially when they are relevant to the field of choice. just because "this will not be on the test" doesn't always mean it can be skipped

ok I think that's all I have for now. I hope someone will find these helpful and feel free to share yours

[caprice-nisei-enjoyer]

Mathematical dual? Aint that the same shit that got Galois?

[spicyraeman]

im uhh... putting her through it

[magdaluxe]

useless ray of goddamn sunshine

individual frames under cut

[20mbiez]

me realizing that even if the crash never happened and everyone managed to survive, there was still a very real possibility that anya would have had to give birth. on the ship. in space. with her abuser.

- "How many days of transport do we have left?" - "Around 237 days. Just under-" - "8 months."

she knew. she fucking knew.

[dramashii]

Academic rivals to lovers is a superior romance trope because nothing is sexier than 2 smart people falling in love.

[moonlights-shadow-warrior]

I wanna see what everyone else says 'cause while I know my answer, I am an outlier

Also uh

They were 1.79

[facts-i-just-made-up]

whats equation??

An equation is a statement that shows the equality of two things, thus revealing a new understanding of mathematics or other truths about the world, like E=MC², or A²+B²=C², or MAGA=NAZI.

[mantacid]

Was scrolling through tumblr, and happened across a blog with 1312 (acab) in its description. I noticed that that number wasn’t prime, but the same number backward (2131) was.

Are there any integers that are prime when read both forwards and backwards? Obviously 2, 3, 5, and 7 work because they’re one digit, and 11 because it is a mirror of itself. But what about other numbers?

Like, off the top of my head I know 13 and 31 fit the bill, but what dictates the pattern? It’s not that all the digits of the number must be either prime or 1, because 53 reverses to make 35, which is not prime.

Whatever the answer, I know that neither the first nor last digit can be even; the last for obvious reasons, and the first because it would become the last upon reversal.

How many of these pairs are there? Are there an infinite amount? What kind of infinity?

[kkwasrat]

hello tungleer i have some gUYs for u

[subbyp]

we need more post-canon/40-yr-old content with Zoro as the bartender of Sanji’s restaurant in the all blue and you can’t convince me otherwise

[bone-yarddz]

TW for horror/gore artwork under the cut

Sometimes I forget how fun this genre is to draw. SOOOO quick fanart for @ravewing ‘s infection AU, which is very awesome so go check it out :)

Anywhooo here is the art of the Stage 4 infected dragon!!