Mathematics

Hi @Dami

How's everything going

tired, hungry

i literally had 10 hours of sleep, and i just woke up and im still tired as hell

Simply Beautiful Art

Mhm...

I think we're all tired, especially students

I was never as tired as a student as I am as a PhD student/ TA :P

3:49 PM

Lol, the worst is yet to come

Though I'll say that first quarter this year was my harshest

4:12 PM

i think second year is the worst... though differential geometry was alot of work i find most 3rd n 4th years class are less effort then the second year counterparts but perhaps im just a slow learner

Well, it depends a lot on what courses or projects you get at what time...

My third year was horrible, but that's because I did a twin-bachelor in maths and physics and had to make 2 bachelor projects at the same time :P

lol

physics labs are so nice though...

i did stuff its reasonable im going home now.

9/10

@Faust7 Physics labs for me were painful

And I mean, I'm a second year so it's possible that things are going to get much harsher

chem labs its go home write a dam report for 10hrs and get 8.5 for me anyway

But my first quarter professor basically assigned us 60 problems each week for homework

20-25 of which were linear algebra problems. We didn't cover that in class, so we also had to read the chapter where the problems came from

4:17 PM

i was in physics and biochem before switching to math third year is less work if you stick out the second year imo

My physics labs in my second year were awful, since I had to go to a different campus, which took 3 hours by bus+train...

(50 one time, which was an experience to do in 4 days...)

Then the remaining ones came from Rudin, Sally, and later on in the quarter Buck, which were all somewhat long

honestly if you just take as many math class as you can that you need each semester while in the physics program life becomes really easy

But that professor had particular tendencies which did not translate over to the other quarters

yeah one of my profs in a second year physics class gave us a problem on our final that u had to use stokes theorem 3 times on to integrate where most of the class myself included didnt even know what it was called

4:20 PM

@Faust7 That's cruel

you could do it with a quad integral if you really stuck to it aswell.

but if you knew the math it was a really simple integral from 0 to r over the volume of a spherical shell (which of course doesnt actually have volume) but w.e

4:48 PM

hi chat

why in doing complex integral we can change sin x with e^iz ?

@KasmirKhaan You have to take the imaginary part when you do that substitution

What do you mean ?

$e^{iz} = \cos z + i \sin z$ right?

am doing this integral sinx / x

Hi @MeowMix

4:50 PM

Hi @Balarka

Oh and hey @Alessandro

So what they wrote is : sin x /x can be replaced with e^(iz) / ( iz )

over what contour?

Hi @meow

how are you

5:16 PM

Hey Zach

Hi Nate

And how are you today?

tired, as always

Ah, perhaps an iron deficiency?

notadoctor

Idk.

I don't eat that much

5:26 PM

Hm.

So what are you working on today?

Thinking about one of Ted's problems

I need to finish a unit of chemistry today or else I am basically screwed and won't be able to go to the university I want to go to. I'll have to go to a different one for a year, and the courses aren't as good.

reading linear algebra

linear algebra seems interesting.

Morning @MikeMiller

5:27 PM

Like I want to take this first year class, it's got something to do with mathematics of computing, and it's proof based.

Mike Miller

morning

but this other school only has something random for computing that you need to take

I think it's called like "media and the world"

or something.

Like screw that.

Hey @BalarkaSen

Hey @MikeMiller

Hi

How are you guys today?

aright

5:31 PM

That's good!

@Dodsy Do you need another hint on the convex functions one?

Or do you just want a different problem

I can't even think about math right now Zach :C

So much chemistry.

And, I decided I'm going to upgrade my english mark, which is sitting at like 75% (I did that back in 2013...)

I figure I can get a mark in the 90's

heh "upgrade"

Yes :)

But really I'm recompleting the entire course.

So the first assignment is on comparing which is more tragic, hamlet or agommenon

I think that's what it's called.

anyways, I've already read hamlet. So I've got a one up.

I've read hamlet three times, actually.

Long story.

i don't know but what's tragic is going through the ordeal of doing that assignment

5:35 PM

Haha yes!

The best part is that it isn't even for mark!

marks*

The course set up is very strange, I need to complete 4 units to send the marks, and 2 units are "marked" but only one is worth marks, another is a peer assessment, and the third is a test.

This is helpful because you can't hand in the next assignment until the one before it is marked.

Sorry for flooding the chat with insignificant and off topic details!

It's not like there's anyone talking here, so it's fine :)

Adeek

hi everyone

did anyone ping me ?

@MeowMix I found this interesting property of squares, but I also found in an elementary number theory book the reason for it being the case, but what I've found is simpler and a bit more interesting.

Adeek

hi @MeowMix

So we know that if we have a single square and we add three more squares around it we have 2^2 , and if we add 5 more squares we have 3^2.

This is already widely known.

but then what I've found is that any number n^2 = 1 + 1 + 2 + 2 ... + n

5:50 PM

squares??

You mean just adding up?

Yeah

So $5^2 = 1 + 1 + 2 + 2 + 3 + 3 + 4 + 4 + 5$

Do you know why that's the case?

I've already said.

Uhh

no you didn't

LOL

because %n^2 = 1 + 3 + 5 + ...$

5:53 PM

wait what

I suppose that's true

I don't remember the exact formula of course, my book is upstairs.

the $n$-th odd number is just $n + n+1$ or $2n+1$

2n + 1

that's right.

5:54 PM

Nate, do you know induction?

Guys, does this mean that we can multiply the terms in a series as often as we want by $x$?

Yeah

the radius of convergence will always be the same

because $x$ can't be infinite by definition...

like the form of proof?

sorry i misread it

But zach, if we look at that other way of how squares come together, (we can see it geometrically) then we can see why my way works, it's a redistribution of the integers.

1 + 3 = 1 + 1 + 2

5:55 PM

Well, for a series to make sense, there may be conditions on $x$

1 + 3 + 5 = 1 + 1 + 2 + 2 + 3

Yeah

Just be careful when you use that line of reasoning

But these conditions don't change if you multiply or divide a series by a power of $x$