yeah its OC

i was trying to say this command

mkdir union
cp -rf A/* union
cp -rf B/* union

would create the union folder

oh 8 is the axiom of infinity, 4 is the pair set axiom

i forgot the solution, this only covers the positive/positive case cuz im not a mosochist

what about this square, it does not have an inverse

1 1 1
1 1 1
1 1 1

was about to fall asleep but then PROPOSITION:

• all magic squares are constant multitles (all numbers multiplied by a certain value), or shifted (all numbers added to by a certain value) of a very few variations of “base” magic squares this seems intuitively true by a sleepy deprived person at 1am, but if we can prove for these “base” squares, would that be the way to prove for the general case?

i.e. there r and infinite number of 1x1 magic squares, but there is only one case to deal with if we want to prove anytning about it

this is actually interesting, im currently on bed so im not writing a proof, but the rule for a 3x3 magic square of conseqetive numbers seemed to be (tested on one other example) that its inverse is 1/(3*middle number), the 3 could be the dimension of the square?

if this is true, this begs the questions:

• is it still true for squares of non conseqetive numbers?
• what happens when the square is 4x4 where a centre number doesnt exist

either way im gonna have a go at it when i wake up tmr, and im pinning this for being one of the coolests finds in the community

of course the website has something to do with lean

CTRL + P and article mode enters the chat

when i first showed this question to my friend, he told me that f(x) = 0 satisfies the condition. It is incredible that he said this without delay (i have not thought of that possibility at all), but at the same time it made me wanted to explode,

This challenge requires some specific knowledge on the topics, so if you have no idea how to approach this question, take a hint

If you found f but not in the specific format

No hints on the extension, you are on your own.

I’m sure there are many other ways to solve this, as it is a very open ended question. But anyways this is one of the favourite proof i’ve done

proprietary, btw

Hint:

Hint

Solution: https://gmtex.siri.sh/fs/1/School/Extra/Maths/Qotd solutions/2024-08-04_extended-euclid.html

Hint:

Solution: https://gmtex.siri.sh/fs/1/School/Extra/Maths/Qotd solutions/2024-08-01_multiple-of-modulus.html

Hint:

Solution:

because I have never heard of this argument before, ever. most media’s stance on politics is “their party bad our party good”, but the “all the parties are pretty hypocritical” argument has never been explored properly, because its depressing and nobody likes it.