They Discovered Busy Beaver Five!

This exactly. It feels as if the brains of my friends flow smoothly towards the shore of certainty through the choppy seas of truth- meanwhile I'm taking a raft.

there's a very specific feeling that makes it difficult to study math in an academic environment when all students around you seem like they're exponentially more intuitive than you in this subject

A lot of people absolutely fail to distinguish between 'I hate this because I was taught this badly' and 'I hate this because this thing is inherently bad', and I hate it.

you know I absolutely agree with the fact that the education system is fucked and traumatises students. I absolutely agree with the fact classes like english and maths and history can be piss boring and teach you nothing of worth and could be a trigger depending on how hellish of a teacher you were given.

Hell, the only reason I love maths is because I primarily engaged with it outside of class and found it fun on my own terms. I'm still bitter towards my history teachers for having clear favourites and not engaging half the class.

but like. if you're railing against the *subjects* themselves, refusing to learn any of the basics as an adult, and bringing up how much you hate them at every opportunity? At some point that becomes a problem you have to deal with yourself.

and if you don't, you're going to be the reason this happens again for the next generation.

Getting a lot of: “No but like you don’t get it math is stupid and useless and reading books is actually morally good… and teaches us about the world around us and explains how it works which stupid math doesn’t do why should I learn calculus I would rather shame people into reading Jane Eyre than open a math book or website”

And like … out of the millions of things you can do with basic and foundational math … that shows you how the world works … Calculus, as one example, can literally explain to you why leaves grow at the angle they grow … there is little more beautiful than being able to calculate exactly how nature works and understand why.

There is beauty in every subject … and few other subjects encapsulate ways to understand your surroundings like math.

If you are comfortable shaming people for not reading fiction books because you personally are good at reading them, but uncomfortable being shamed for not doing mathematics consider you are in the exact same boat as people who are afraid to read fiction books because they don’t see why it is important to do so and are unwilling to begin.

You are the people you hate.

Also Griebach, known for the Griebach Normal Form!

Discover that a name you’ve been hearing for years belongs to a woman! (shout out Phyllis Nicolson of Crank-Nicolson method fame)

REBLOG THIS POST IF YOU ARE A MATH ENJOYER

No it is not optional, I desperately need to follow y’all so that there is more math on my dashboard.

ok so this is probably just me being a self-obsessed heartless dumbass but is it me or is it that when you're bad at doing something people just tell you to try harder but if you're REALLY BAD at doing something they say "oh it's [mental illness]" and try to actually give you help. what if i do have a mild version of a thing why shouldnt i get help. at least some. just a crumbe of adderall and empathy plz

Yes.

Suppose 2n/(n-2) is an integer. Call it k. Then 2n = (n-2)k. But notice also that (n-2)×2 = 2n-4. So 2n is divisible by n-2, and so is 2n-4. So their difference, 4, is also divisible by n-2.

(

To see this, subtract the two equalities above. You'll get 2n - (2n-4) = (n-2)k - (n-2)×2, or, simplifying, 4 = (n-2)(k-2), so 4 is divisible by (n-2)

)

The only (positive integer) factors of 4 are 1, 2, and 4. So n-2 has to be 1, 2, or 4, and thus n has to be either 3, 4, or 6.

The question asks only for positive integers, but it would be a mistake to exclude the negatives. If we take negatives into account also, then -4, -2, and -1 also work, for which we get n to be -2, 0, and 1. And notice here that 1, although reached via a negative, is in fact a positive integer solution.

So the only numbers are 1, 3, 4, 6.

For more information on this, this kind of question comes under a part of math called Number Theory.

Does anyone know if 3, 4, and 6 are the only positive numbers for which 2n/(n-2) is an integer or are there more?

Discovering something new in mathematics and then naming it after Euler just to fuck with people.

oh youre a math phd? Name 5 equations

1. The functional equation for the completed L-function associated with a modular form.

2. The Analytic Class Number Formula

3. 196883 + 1 = 196884

4. Chinese Remainder Theorem (gives an “equality” of rings)

5. Prime Number Theorem (gives an asymptotic equality of two functions)

(Can you tell what kind of mathematician I am from this? I feel like it’s pretty obvious lmao)

Things Math Professors Say

"The proof is trivial." (Oh, cool. Guess I’m just an idiot then.)

"Left as an exercise." (Translation: You’ll never solve this in a million years.)

"It’s obvious, really." (Sure, if you’re a demigod.)

"By inspection." (Stares harder at problem… still nothing.)

"For small values of epsilon." (How small? Subatomic? Microscopic? Vibes?)

"WLOG (Without Loss of Generality)." (Oh, we’re just assuming it doesn’t matter now? Alright.)

"Details omitted." (Because apparently, you don’t need to understand it.)

"By the usual argument." (Which you somehow don’t know because you weren’t born in 1702.)

"Assume the rest holds." (That’s some impressive optimism right there.)

"The usual abuse of notation." (Why does this feel like an emotional wound?)

"Almost surely correct." (But also possibly wrong? Cool, thanks for the clarity.)

"A non-rigorous approach." (I thought math was supposed to be precise?!)

"Assume it’s obvious." (Buddy, NOTHING about this is obvious.)

"The reader may verify." (No, the reader may CRY.)

"To the interested reader." (Guess I’m not interested enough, huh?)

"Well-behaved functions only." (We’re function-shaming now?)

"Obvious to the trained eye." (Guess I’ll never make it out of amateur league.)

"A trivial case analysis." (Trivial to WHO??)

"Integrate by parts, twice." (Bold of you to assume I got it the first time.)

"As you can clearly see." (Oh, I clearly see my FAILURE, alright.)

"It works in practice too." (Unlike me, who barely works at all.)

"Assume a spherical cow." (Are we doing math or abstract sculpture?)

"A standard result." (Not in my standards, pal.)

"We skip the tedious algebra." (No, no, please—I wanted to suffer MORE.)

"Assume non-zero solutions exist." (Okay, now we’re just assuming life works out.)

"The usual topology." (Bro, I don’t even know the unusual topology.)

"Finitely many cases left." (Just kidding, there’s 72.)

"By virtue of symmetry." (Virtue? I have none left.)

"Don’t worry about the constant." (The constant is probably my GPA dropping.)

"Assume continuity." (I’m assuming my brain is breaking.)

"Smooth functions only." (Guess I’ll leave, I’m clearly not smooth enough.)

"The simplest non-trivial case." (Simplest? NON-TRIVIAL? Pick a side!)

"Epsilon goes to zero." (Epsilon isn’t the only one losing it.)

"And the rest follows." (Where? Straight to my breakdown?)