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God Eidolon is really just a victim of the most ridiculous moral consequences ever. Like “Aha, you thought it was a good idea to neglect your own mental health in order to achieve a greater good and save other people’s lives? Well think again, because just maybe giant hell demons will emerge and destroy Japan.” Poor guy never had a chance. The guy got his brain connected directly to the “summon monsters that kill people” button with absolutely no warning that the button existed or that he could press it. Oh also if you reach a certain threshold of stress the button presses itself. Consequences of drinking alien brain goo i guess

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

What kind of math are you studying?

math tuition is hell im gonna shoot myself with a gun

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)

I look at this one uh from time to time -

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?

One of the worst parts about being a mathematician is that sometimes your working on a project that is relatively simple and your talking about it to a friend and in an effort to convey what your doing you simplify exactly what it is and somehow others end up more confused.

reading math textbooks means getting insane whiplash when you read the notes in the margins

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.

I remember being in elementary school and feeling a deep alienation at people’s just vicious rejection of mathematics, the reason being, like

It’s like. A classic approach to hypothetical communication with aliens that you start with the things you know you have in common and proceed from there. Mathematics is that.

Imagine you approach someone you don’t understand with a thing specifically designed to be something they and you can agree on as a starting point for communication and they just react with “yeah i hate this”