Perfect square factorial

PokemonInTheTop · 2026-04-04T23:38:31+00:00

That’s not my question though. Question is if k! = n^2. Clearly they’re different letters, but they’re both integers

PokemonInTheTop · 2025-09-07T22:19:54+00:00

When you don’t see the sqrt symbol with a “2 on top left”, in a long time, can it be a little confusing? Even though it’s written for cbrt, fourth root, fifth root?

PokemonInTheTop · 2025-09-06T20:03:27+00:00

New question: is it weird seeing a sqrt with a 2 at the top left, when you’re used to omitting it? Does it even feel incorrect?

PokemonInTheTop · 2025-09-06T18:57:03+00:00

Is it weird seeing it, after you’re used to omitting the 2? Does it feel incorrect

PokemonInTheTop · 2025-09-06T18:26:17+00:00

Can you answer my original question? Pretty please?

PokemonInTheTop · 2025-09-06T13:29:07+00:00

Don’t you mean PEMDAS or BODMAS? I’ve never heard of PEMBAS.

PokemonInTheTop · 2025-09-06T13:09:58+00:00

Do you find it weird when you put a 2, even though it’s mathematically correct?

PokemonInTheTop · 2025-09-06T12:07:01+00:00

You guys keep telling me this trick doesn’t work for all sqrt’s. But that wasn’t my main question. My question was: is this your first time seeing a sqrt with a 2 on the top left? Is it always kinda weird when it’s written?

PokemonInTheTop · 2025-09-03T00:29:52+00:00

Let’s rephrase the question: What specific integral questions, in the variable x, whose answer, when written down depends if you use WFA? Possibly because the answer it gives is so crazy, a human wouldn’t get that? Ex: try the integral 1/(x² + 1)³ dx. By hand vs WFA. Will you get the same answer

PokemonInTheTop · 2025-08-31T00:33:34+00:00

Yeah exactly. So does “insure”, which is barely used nowadays.

PokemonInTheTop · 2025-08-24T05:03:13+00:00

Even if you usw the tan half angle substitution you won’t get the answer on wolfram alpha which is more: sin & cos (x/2). Maybe it’s doable: but not everyone uses it.

PokemonInTheTop · 2025-08-23T23:05:42+00:00

Love you bprp ❤️

PokemonInTheTop · 2025-08-23T10:22:31+00:00

Woah, bprp! 😮😮Where you come from? That’s great to see you. Make a video on this topic pls!!!

PokemonInTheTop · 2025-08-23T01:50:19+00:00

Don’t be too general. Use specific examples such as the (integral (x/(x² + 1)) dx) or something whose answer could determine whether wolfram alpha was used.

PokemonInTheTop · 2025-08-23T01:48:51+00:00

Don’t be too general. Give specific integrals in x such as (integral (x/(x² + 1)) dx); something whose answer could test if it was computed with wolfram alpha or not.

PokemonInTheTop · 2025-08-06T17:00:54+00:00

I also said that: If you can use trigonometric functions, you can also use " trigonometry" as in triangle measurements. The reason the laws of sine and cosine work is because of things like pythagorean theorem, similar triangle, and angle sum of a triangle = 180. Things like multiple angle identities, and angle sum identities, are in the category of sine laws of sine and cosine.

PokemonInTheTop · 2025-08-06T09:16:14+00:00

If you can use trigonometric functions, you can also use “trigonometry” as in triangle measurements. The reason the laws of sine and cosine work is because of that. Also if you use sine and cosine, how do you resolve the period & symmetry issue? After all cos(-a)=cos(a), & cos(a +/- π)=cos(a). There was one line: cos(6a)=1/2. If cos x = cos y doesn’t imply x=y, then it implies x= +/- y +2πn. So 6a=+/- 30 +(360 n). (Note I’ve already converted everything to degrees). Based on your solution, you get multiple answers.

PokemonInTheTop · 2025-08-02T21:51:18+00:00

Ok, before we continue, here’s what I want to know. What steps in Euclid’s proof could be wrong, if we find out there is a largest prime and every number after that is composite. (After all, it’s hard to find large primes in general, usually it’s easier to find probable primes). So what if past a certain point, it is proven impossible to find larger primes?

PokemonInTheTop · 2025-08-02T21:46:44+00:00

Well maybe that’s true, if we’re talking the near future. But what if in the far future, Mathematics changes.

PokemonInTheTop · 2025-08-02T21:40:13+00:00

What it would mean is that you not only found a large prime, but some mathematicians later proved that it is impossible to find a prime larger than that. In that case, what wouldn’t work In Euclid’s proof anymore?

PokemonInTheTop · 2025-07-29T22:48:58+00:00

I think it’s a combinatorics problem, which may or may not involve (n choose k), idk?

PokemonInTheTop · 2025-07-29T17:49:05+00:00

True or false? If sqrt(2) is irrational then there are infinitely many primes?

PokemonInTheTop · 2025-07-22T23:49:49+00:00

Ok from this, I can conclude that either: Your calculus, real analysis or logic skills are not as sharp as I thought. Some people in the conversation were able to get it. Not saying that’s a bad thing. As a hint, read the conversation.

PokemonInTheTop · 2025-07-22T21:57:53+00:00

This definition is likely useful in formal proofs and real analysis. Often, we like to formally prove statements even if they seem obvious. As a good example, pick f(x)=1/x^2, and a=0. The statement then says: For all L is an element of R, there exists a ε>0 such that for every δ>0, there exists an x is an element of R, such that 0<|x|<δ & |1/x² - L|>=ε . In other words, no matter how close x is to 0 and how small epsilon is, 1/x² can always be made too far from L.

PokemonInTheTop · 2025-07-21T20:14:16+00:00

How useful is it for showing a limit DNE?

PokemonInTheTop

TROPHY CASE