Mathematics

Meh. I was 40 when I finished. And there was a guy a year ahead of me in his mid 50s.

what a clown

Grapefruit merengue pie.

@Shaun I am interested in the bifurcations of strings of partially true statements in a given logical system can accumulate to a true statement

matt.might.net/articles/phd-school-in-pictures

@Shaun this?

The chat rooms are a little different to the main sites, and each chat room has its own culture. But most of the regulars in chat aren't interested in delivering answers to random questions on a silver platter. We tend to follow the philosophy of "teach a man to fish". We want to assist you in the process of understanding, and figuring out the answer yourself.

@ThomasFinley Yes, we want to help people to learn. But Stack Overflow / Stack Exchange was not created to be a help desk. Stack Exchange sites are knowledge repositories. Please see math.meta.stackexchange.com/q/21893/207316 & meta.stackexchange.com/q/256189/334566

when people volunteer all of their time and effort for free, having their presence here at all times is a bit too much to ask

now it's time for Thorgott to say that it's a consequence of some more general fact

new upvote/downvote design is ugly to me

The only sense in which inequalities are primitive is that some people simply state the axioms of the real numbers (i.e. that of a complete ordered field) without worrying too much about what the real numbers actually "are". If they do that, rather than, say, defining $\mathbb R$ using Dedekind cuts, then $\le$ is primitive in the sense that you are never thinking about what set-theoretic object it is – you only care about its properties, specifically how it behaves as a relation on $\mathbb R$.

Why do you not want to take it as a primative notion?

we should make a list of all groups and invent a different notation for the binary-operation-that-I'm-not-allowed-to-name for every entry individually

@psie that's where I draw the line (or two, one over the other)

What happens for a cube rather than a square? (I do not know the answer, other than that it should be larger)

@Jakobian No applications is still too many.

@leslietownes agnostic? Unacceptable. I only accept books that have no applications at all

allie so yes you probably want something that is very calculational and matrix focused

Its really nice the interplay between group theory and number theory. Makes me appreciate number theory a lot more

@Shaun I would like to find as much beauty in things as you do in math

yawns loudly

books are not meant to be read from start to finish

Lucky ... You are getting more and more intrusive.

@ShaVuklia Oh, that is some lovely mathematics. I really enjoyed funky anal in grad school.

@XanderHenderson "A monad is just a monoid in the category of endofunctors"- Sun Tzu

@Allie It's not the same without Ted.

Trump (and to a perhaps lesser extent, the modern Republican party) has a profound authoritarian streak. He clearly believes that the US president should have dictatorial powers, and has done quite a lot to ensure that if he is elected president again, he will be able to act in a much more authoritarian manner than has been historically possible.

@Sahaj In my opinion? A warm stone would be a better president than Trump.

@GratefulDisciple I don't mind being the target of controversy. :D

Just three guys here. Never seen that before.

@Pizza Wrong verb. You don't "solve" integrals (you solve equations and inequalities). You "evaluate" integrals. You also don't "set" $cos(x)$ equal to something. Presumably, you are making a change of variables (i.e. a "substitution"). In any event, the approach you suggest looks fine to me (I am not going to take the time to work through the details).

I started reading The infinite dimensional topology of function spaces by J. van Mill.

@robjohn maybe you'd like this question

anyone running for mod in chat?

@Pizza this is a standard substitution when you have an equation of the form $g(y,y',y'')=0$, i.e. explicitely there's no $x$

6 messages deleted

DEAR MATH ROOM: Please stop flagging frivolously. Chat flags are visible network-wide to mods on all sites, and you're making Math.SE look bad. Reserve your flags for serious issues only, not stupid reasons like bad jokes. Thanks for reading.

photos.app.goo.gl/woFTeWAW2Tid4vBcA

One can show that extreme values of a nice enough subset of the dual form the James boundary of it.

Peter Scholze explains mistake in Wiles' proof of Fermat's Last Theorem: https://www.youtube.com/watch?v=ub82Xb1C8os

mostly unreleased raps and b-sides from notorious BIG's "ready to die." next question

well, my comments are meant to help you understand what is going on

I destroyed the universe instead.

"what's yellow, normed, and complete" "a bananach space."

Math takes experience to gain insight.

@CowperKettle This isn't too surprising, and contrary to what many think, most IMO problems are not "non-standard/obscure/never before seen problems". They're very much based on well-known and studied patterns, in fact that's how IMO-contestants are trained. That's how I solve many Olympiad problems. With this in mind, training an AI on a bunch of well-known patterns isn't impossible to achieve.

there just isn't a ton of money out there chasing mathematical results, it is the other way around