Mathematics

@leslie townes Cars are clearly discovered lol

no, cars are discovered

it's only a good resource for someone who has already acquired a decent degree of maturity

Happy friday

it isn't a task like plowing a field, where more hours spent doing it translates into some concrete amount of accomplishment, either. a lot of people (even famous ones) will say that you need to make allowance for "downtime" and that you might even get more productive thoughts during or as a result of downtime, than during or as a result of being "on the clock"

@ModularMindset dropping such a hellish question out of nowhere might land you in jail :p

the suspense is killing me

wow you guys are just out of control

@pie Here are a couple of good ones: physics.stackexchange.com/q/363/123208 & physics.stackexchange.com/q/33215/123208 Here's the whole collection: physics.stackexchange.com/…

there's still absolutely no reason to put somebody's name on the board

I'm already compact

congratulations, you have discovered the 1-point compactification

@zetaspace 28 rep with 400+ questions and 30+ answers is crazy

dual eyes dualize dual lies

this is funny: I went to my probability professor's office to ask some questions and he was doing a weekly meeting with his student. One of his advice to his student was "don't take my class. it's a waste of time. Just google it if you forgot some concepts".

@SineoftheTime "Appear weak when you are strong, and strong when you are weak."~Sun Tzu (actually)

why all these stars?

Conclusion 2: everyone capable of learning math

Now I have LaTeX on phone!

Aloha algebros and topologists

@uhoh anything that looks at a set and a structure of that set is mathematics i guess

@Shaun good idea. I will check my prove 5 times, sleeping on it for 5 days, then announce

@IThinkHighlyOfEiligh bro is living life

no

see this channel for summary of my progress

@Shaun topology is very interesting, fun, and when you combine it with other fields, you get new theorems rather quickly.

@jasmine because if you define $(a+\mathfrak{m})\cdot (b+\mathfrak{m}^3) := ab+\mathfrak{m}^3$ then this might not be well-defined since if $a'\in\mathfrak{m}, b'\in \mathfrak{m}^3$ then by the same definition $(a+a'+\mathfrak{m})(b+b'+\mathfrak{m}^3) = ab+a'b+\mathfrak{m}^3$ where the term $a'b$ isn't necessarily in $\mathfrak{m}^3$

there was the time when i asked my mathematics professor about the delta durex function.

bread but in French

algebra= the class where we multiply by $1$ and add $0$, just in some fancy ways

Taken from the book TVS by Narici and Beckenstein.

everyone uses $(a,b)$, I'm the only one in chat who use $]a,b[$ :((

@Shaun I know PhD students who had “nothing” until their final year. I imagine your situation is not uncommon. But best wishes.

trust your logic

everything is a vector, if you have enough fantasy

There's an obvious """overlying""" vector space

The real question is: why are you using chatgpt?

@think_meaning_builds That is not what that phrase means.

glad to hear you're fine :)

so, of the infinite bag of positive integers for which x_n is in [0,M], you choose one, n_1. then you look at the sets of positive integers n larger than n_1 for which x_n is in [0, M/2] or for which x_n is in [M/2, M], respectively. one of those two bags will also be infinite. your selections from those infinite bags are indices n_1, n_2, .. that you use to form the subsequence, not the values x_{n_1}, x_{n_2}, etc. of the sequence itself

sku there's something a little weird about the way that argument is phrased. "one of them will have infinite points" - here "infinite" refers to the set of positive integers n for which x_n is in the given half of the interval, not to the set of real numbers x_n that lie in that interval (which might always be only finite, as it is in your example)

best to leave children to their toys

I think the lie was actually "All Octupi and Dolphins welcome!!!" since its not a very welcoming place

@SoumikMukherjee There is no reason other than amWhy didn't think your conversation fits the room.

I figured it out: depends on the audience

@Gian'sPizzeria you did not answer my question

@Sahaj Any sane person would be a better president than trump

would that be a stattitude?

slavery is wrong

@user20458579510081670432 Haven't heard that one before, but this article seems to agree with you, backed by cognitive science !