Mathematics

2:01 PM

in other words $rot(rot(F))= grad(div(F))-laplace(F)$ for a vector field F. i want to show this using differential forms

IE building the one form of the fields by contraction , but i am not sure how to contract or understand $laplace (F)$

Jam

2:29 PM

We know that if there exists a Q isomorphism between two extentions permutes roots of irreducible polynomials. But that doesnt prove that if it is possible for such a Q isomorphism to exist actually exists.

nvm it found it. its easy to construct them

bumblebee

More silent downvotes.

A plate of momos

I have a song for you

Adrenaline Mob - Come On Get Up

For me?

yes

Why?

2:40 PM

coz you said silent downvotes

I play this song everytime I get a silent downvote

bumblebee

lol

Every time?

Prithu biswas leftmse

@bumblebee I guess MSE has become too difficult for beginners like us =(

A plate of momos

@MadSpaces I think I can answer your question. Firstly associate your vector to a one form, now hit it with an exterior derivative, now use hodge dual to go back to a one form, now use the derivative again

Yes mostly every time

bumblebee

And there's always the bias towards high rep users.

I wonder how many downvotes I will have by tmr morning.

Heck, my questions may even be closed.

Jam

this is a general problem on rep based sites

i figure

bumblebee

2:42 PM

And get this, their reason for closure isn't even valid! 🤣

A plate of momos

I think so the laplacian is that you take a scalar field, turn it into a one form by exterior derivative, then hodge it, then you differentiate it again I think @MadSpaces

Jam

thats why i always use the chat :P @bumblebee

bumblebee

honestly, why can't they justify their reason for closure?

I mean you should have a good reason because you did close it.

A plate of momos

what question are you having trouble with?

I'll give a question-review if you want

bumblebee

1

Q: What are some topics in undergraduate mathematics to write about?

As a high school student, I will soon be going on to do the IB(college equivalent). As part of the IB curriculum we are expected to write an Extended Essay(EE) that counts towards our grade. For the EE we are expected to motive a question on a subject, or particular topic, and write a paper answe...

A plate of momos

2:45 PM

I mean yeah it's a good question, but people get mad if it's not something in a textbook

or maybe an actual calc

bumblebee

I really want this question to stay but people seem so desperate to downvote and not reopen it.

A plate of momos

the rules are being applied senselessly in my opinion

like, it is still not clear to me what type of purpose is achieved by closing such questions as the one you have shown. One can choose what to answer and spend time on. Most questions I doubt stay more than 10 second on front page, so the closing are like directed attacks than anything else imo

bumblebee

Then how do you justify these posts: math.stackexchange.com/questions/505367/…

110

Q: In calculus, which questions can the naive ask that the learned cannot answer?

Number theory is known to be a field in which many questions that can be understood by secondary-school pupils have defied the most formidable mathematicians' attempts to answer them. Calculus is not known to be such a field, as far as I know. (For now, let's just assume this means the basic top...

calculus education

A plate of momos

I think it's just like real life

if you see in Olden times, the pasts of many famous society and figure, it has some negative part. Later on when society may change opinion, still those people can keep their winning at that time without being reprimanded for negative

If that makes any sense at all

bumblebee

I just don't understand the downvotes.

Prithu biswas leftmse

2:48 PM

Is MSE about "learning math" or "learning how to ask a good math question"?

A plate of momos

Damnnnn

I think a mix of both

more like , how to ask a good question which satisfies the whims and fancies of whoever has the power to apply rules

bumblebee

Now i'm confused

The question got re-opened

If people thought it deserved to be closed why has it been re-opened?

i'm so confused

Prithu biswas leftmse

@bumblebee it will get closed again =P

A plate of momos

I guess cause democracy

bumblebee

Let's hop that they have a better reason this time.

Jam

2:50 PM

years ago these type of questions where welcomed alot

A plate of momos

have you guys heard of the chicken armour qiuestion on physics stackexchange?

13

Q: How do I find the approximate surface area of a chicken?

I'm working on building a chicken army and I'm trying to find out how much metal or kevlar (still deciding) I need to make armor for the chickens. this measurement does not need to be exact I'm just trying to get an estimate for how much I will need. You will be spared when my chickens take over ...

measurements estimation geometry

this question was reopened and closed like 2-3 times in a row

Jam

hahahahahaha

bumblebee

lol!

A plate of momos

there is answer from thermodynamcis to quantum mechanics to japanese art techniques

Prithu biswas leftmse

"he question is off-topic but has historical significance" I haven't ever heard of a chicken warfare happening in the past....

some chicken liberation war.

A plate of momos

2:53 PM

turning point of physics stackexchange ig

bumblebee

You know what

Instead of striving to hate them, I want to know how I can improve my question so that it isn't closed in the future.

I think that way everyone wins.

But I refuse to accept the downvotes.

A plate of momos

I feel the cases where you can do something, they are some what clear

like writing in latex, adding effort etc

but here, I don't think so there is anything substantial you could do

Prithu biswas leftmse

So I guess this teaches us something very fundamental about SE: Quality $\neq$ Score.

bumblebee

Then would math overflow work?

Since it is listed as a research site, a question proposing research topics should be very on-topic right?

After all, it is what they are saying

math.stackexchange.com/help/on-topic

So is the idea valid?

A plate of momos

I mean, I think same with real life, what the rules say vs what rules are actually applied is at a big gap

but idts it'd be well received on MO either

also a good illustration at the issues which democracy may suffer

1526

Q: Visually stunning math concepts which are easy to explain

Since I'm not that good at (as I like to call it) 'die-hard-mathematics', I've always liked concepts like the golden ratio or the dragon curve, which are easy to understand and explain but are mathematically beautiful at the same time. Do you know of any other concepts like these?

soft-question recreational-mathematics education big-list visualization

bumblebee

3:00 PM

Maybe we should turn to communism.

A plate of momos

but communism is about economic growth isn't it?

this is more about political system

Jam

ye

bumblebee

communism is about economic growth?

Jam

mostly

Prithu biswas leftmse

@Aplateofmomos Can you ask non-math questions on MO?

A plate of momos

3:01 PM

I thought so

Jam

it has also social aspects

as every political ideology

A plate of momos

I guess you can ask non math Qs, there are many such like anecdotes of mathematicians which are there

Prithu biswas leftmse

141

A: Is St. Petersburg a good place for the 2022 Int. Congress of Mathematicians

To answer the question in the title: "No." And I would imagine that Ukrainian mathematicians would boycott any ICM held in Russia, in these times. So the question of whether Russia would honor their passports will probably not arise.

A plate of momos

bruh

another famous example

1067

Q: How long will it take Marie to saw another board into 3 pieces?

So this is supposed to be really simple, and it's taken from the following picture: Text-only: It took Marie $10$ minutes to saw a board into $2$ pieces. If she works just as fast, how long will it take for her to saw another board into $3$ pieces? I don't understand what's wrong with ...

arithmetic word-problem

bumblebee

AHA! a subjective question which they let slip by.

I'm posting my question on mo

see ya

A plate of momos

3:03 PM

362

Q: Thinking and Explaining

How big a gap is there between how you think about mathematics and what you say to others? Do you say what you're thinking? Please give either personal examples of how your thoughts and words differ, or describe how they are connected for you. I've been fascinated by the phenomenon the questio...

soft-question ho.history-overview big-list big-picture math-communication

292

Q: What's a mathematician to do?

I have to apologize because this is not the normal sort of question for this site, but there have been times in the past where MO was remarkably helpful and kind to undergrads with similar types of question and since it is worrying me increasingly as of late I feel that I must ask it. My questio...

career soft-question advice

the close reason is the funniest thing I have ever read

>This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, visit the help center.

how could one think of even putting this as a close reason in research level mathematics site

Prithu biswas leftmse

@Aplateofmomos Doesn't this defeat the entire purpose of MO?

A plate of momos

tru

I think a more accurate reason would have been "coz we don't like it"

bumblebee

0

Q: What are some topics in undergraduate mathematics to write about?

As a high school student, I will soon be going on to do the IB(college equivalent). As part of the IB curriculum we are expected to write an Extended Essay(EE) that counts towards our grade. For the EE we are expected to motive a question on a subject, or particular topic, and write a paper answe...

reference-request big-list

Done

Prithu biswas leftmse

@bumblebee I guess it might be worth a shot.

bumblebee

Yup

A plate of momos

3:08 PM

bruh hopefully it is well received

bumblebee

I'm not gonna give up even if it means I have to request a policy change. Or even the creation of a new stack exchange website.

Prithu biswas leftmse

what if there is a dupe lurking somewhere?

A plate of momos

I mean these issues do exist, but I am concerned if this would be seen as good or bad on MO. Those people are usually more strict

ah yes, the good ol "your question is dupe from 1000 BC" close

bumblebee

@Aplateofmomos Fingers corssed

20 views already.

A plate of momos

I have an idea @bumblebee

what if you reframed the question to be like "what are topics which can be directly approached someone in undergraduate/ from highschool" in mathematics?

Or niche topics of such because if you allow all the normal topics, then the trivial answer is UG curriculum in itself

bumblebee

3:18 PM

Hmmm...That may be a good idea.

At least then the question is more focused

Bruh 27 vies and still no close/delete votes or comments or upvotes or downvotes. I'm sostressed/

Nvm im gonna sleep now

night!

I will ocnisder your idea @Aplateofmomos

Koro

Total no. of 2 by 2 RREFs is infinite.

Prithu biswas leftmse

@bumblebee It received a downvote. I guess the plan failed.

I am surprised that the question lasted for more than 5 minutes.

bumblebee

Now the MSE post has another downvote.

And close vote.

Prithu biswas leftmse

3:40 PM

@bumblebee Closure time: 33m

bumblebee

I deleted it.

Prithu biswas leftmse

@bumblebee oh....

Thats fine.

bumblebee

U know what I think, i'm not ready to be on this site.

I would like to say goodbye to everyone who has helped me and guided me with their thoughtful and interesting answers/advice. I am especially grateful to those who have recently helped me with getting new ideas to write. I hope you all have great lives and achieve great success wherever you go. @CalvinKhor @leslietownes @Prithubiswasleftmse @TedShifrin @AkivaWeinberger Cheers to you all especially! 😊

Prithu biswas leftmse

@bumblebee Wait don't leave this site.

If MSE doesn't help you learn, then use MSE chat instead. Our customer support is always up 24/7 =)

bumblebee

Sorry Prithu. Farewell.

A plate of momos

3:58 PM

Getting question closed on MSE : speedrun

sweaty gamer speedrun meme original

►

editing so hard to keep the question open but constant barrage of downvoet and close vote +"lol no effort kek"

Calvin Khor

@bumblebee you can just stay on chat if you want. Perhaps come back after your exams with less stress. Either case you're welcome and good luck man

Prithu biswas leftmse

4:33 PM

@bumblebee 😭😭😭😭😭😭😭😭

@Aplateofmomos My dark past

monoidaltransform

4:52 PM

can every finite dimensional lie group be embedded in $GL_n(\mathbb{R})$ for some $n$?

leslie townes

no, i don't think so.

a book on representation theory would have example. maybe serre?

maybe not. the book i was thinking of is about finite groups. i do think there are groups that don't have faithful finite dimensional representations despite being finite dimensional as manifolds.

math.stackexchange.com/questions/1553270/… look at the example with the quotient of the 3d heisenberg group.

as answers note there a compact finite dimensional lie group will embed in some GL_n.

it hasn't occurred to me whether R or C matters in the GL_n. all of the vibes i know would be specific to C.

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$Mathematics$ Mathematics