Mathematics

BAYMAX

1:26 AM

$\frac{sin(1 + (x^2 + y^2))}{(x^2 + y^2)}$

at $x = 0$ this blows up

@TedShifrin

Adeek

@ramanujan_dirac hi

ramanujan_dirac

@Adeek hi

BAYMAX

also @TedShifrin $\frac{1}{(x^2 + y^2)}$ blows up at $x = 0,y=0$ and is positive at other places !

Dodsy

Do you guys think you should learn a second language while an undergrad in math?

Simple

1:42 AM

I don't know since I speak three languages already

Dodsy

Impressive!

Fluently, I suppose?

I know a little german and a little french, but I'm thinking about taking a year course next year in german, french, or chineese.

Chinese*

Simple

As I know, many people from the Western world think Chinese is the most difficult language to learn

Dodsy

It used to be that to complete a PhD a candidate needed to show competency in another language.

I know a little bit, not much.

Chinese that is.

Mandarin to be more precise.

Simple

Since I speak Chinese (Mandarin and Cantonese), I always have no idea why people think Chinese is difficult, for me, I still have problem when I am writing homework in English

Dodsy

I would like to learn how to write in traditional chinese characters. I find the writing so interesting!

David

1:47 AM

papers are written in english

Dodsy

What papers.

Simple

Yeah, they are @Dodsy

David

math papers

Dodsy

That's quite a generalization.

Many mathematical papers coming out of france and china are not written in english.

Russia as well.

Or, often times you get a translated paper which does not capture the paper in it's entirety.

David

such a small percentage that learning an entire language would probably be a waste of time

if all you want to do is use it for math

Dodsy

1:51 AM

Okay, then look up some math research coming out of france or china. They say that of all the maths research in China only about 10% is translated into English.

Simple

interesting, I don't know that

David

do you usually come across papers like that in your area of research? it's entirely possible (even likely) that you'll be able to do research without them

lots of American math phd's don't know foreign languages

I know just enough french to work through the occasional paper from the 1920's, but other than that...

Dodsy

You'd probably know best, I have not even started my undergrad, I just think that people often undervalue learning another language and think that it is sufficient to only know English.

David

it you can get some liberal arts credits for it, go ahead. I'm just not sure you needed it strictly for math.

Dodsy

At harvard and MIT it is a requirement when completing a PhD in math.

David

1:59 AM

yeah I think it used to be a requirement everywhere

Dodsy

Sorry for arguing with you, David. You'd probably know better than I do, I'm not sure why I became so defensive.

LucasTizma

Apologies if this is answered somewhere, but I didn't know what terminology to search for...I'm basically looking to distribute some items (horizontally) less and less uniformly as the item gets further from some origin x value.

I guess I want some interesting examples of linear curves that flatten out that I can tinker with. :)

Dodsy

@David I came here to ask, and you gave a perfectly fine answer, thank you. I'll have to consider learning the language because I find the language interesting, and not because it would contribute to my math studies (necessarily)

@LucasTizma Can you explain a bit more, are you talking about something like stock price simulation? Or are we talking about statistical analysis of some sort?

LucasTizma

User interface, actually. I have a horizontal list of items that I'm scaling and so forth the further they move from the center of the screen. But I'd also like to distribute them non-linearlly as well.

I'm sure it's stupidly trivial. I use Bézier timing functions in my animations all the time, and a simple easing came to mind, but apparently it's not trivial to evaluate cubic Bézier curves deterministically? Kinda just want a simple y = f(x) evaluation.

As they move away from the center, I want them to get smaller (does this currently) and closer together.

Center may as well be the origin. I'm basing all the calculations around distance, not displacement, so things are mirrored to either side of the center and I'm normalizing the results like 0.0 (left) ... 1.0 (center) ... 0.0 (right).

Daminark

4:19 AM

Hey @s.harp and @kasmir!

And @Dodsy

The Substitute

10:07 AM

Is there a proper way to cite an oral communication in a math paper?

SteamyRoot

@TheSubstitute This sounds like the kind of question you should ask on Academia Stack Exchange

It's likely there's already a question about that there

Balarka Sen

Hi @Alessandro.

Shubham Singh rawat

how is log(1+x) = x+ O(x^2)
O is Big-Oh notation

SteamyRoot

Because $\log(1+x) = \sum_{i=1}^\infty (-1)^{i-1}\frac{x^i}{i}$ ?

Alessandro Codenotti

10:23 AM

Hi @Balarka

Martin Sleziak

@TheSubstitute Not sure whether it is proper way, but you can check a few random papers to see how other people cited this. For example, if I search for "private comunitcation" topology in Google Scholar, it seems that there are some papers citing something like this.

Balarka Sen

What are you upto?

Shubham Singh rawat

@SteamyRoot but what about higher powers of x? for any polynomial isn't

x^n + x^n-1+ ...... = O(x^n) ?

Alessandro Codenotti

@BalarkaSen Studying probability for an upcoming exam...

The Substitute

@MartinSleziak thanks!

Balarka Sen

10:25 AM

Good luck in advance!

SteamyRoot