6:04 PM
@Chris'ssis That still leads into the same sillyness

I love fish sticks
They are my favorite
I can eat them all day every day

@Chris'ssis I like the answer from the integral, kind of. However I don't think it is very well defined.

@Chris'ssis I think it has an imaginary answer.
well an imaginary part anyway
OH CRAP
$\sqrt{1-x}$ not the other way
Sorry for being so critical @Chris'ssis

@alizter I forgot. You will just be using the library for the A level math books right, or are you buying them?

6:18 PM
@Alizter NO WORRY ;)

@JasperLoy Both

@Alizter All the boards test similar material?

@JasperLoy Pretty much. There is some regulation on what to test but 50-40% is by board.

@Alizter Screeew you guys, I am going to StackOverflow.

@RespectMyAuthoritah I have the photo of you and Butters.
And I know you are "the Coon TM".

6:37 PM
@Chris'ssis :O

The hard part of $$\int_0^1 \log^2(\sqrt{1+x}-\sqrt{1-x}) \ dx$$ gets reduced to computing $$\int_0^{\sqrt{2}/2} \frac{\arcsin(x)}{x} \ dx$$
where this last kind of integral was studied by Ramanujan ...

@Alizter It seems the decision math part did not exist long ago.

@JasperLoy Some of the math taught is only 10-25 years old

6:55 PM
@Alizter can you finish it?

@Chris'ssis I got it to what you said. I got a bit bored. :P

@Alizter Do you have time to get bored? Be busy all the time! :D

That last integral I hate. I have seen it before and I remember not being too successful with it.
I am fairly sure it is $\log \pi$
Close

$$\int_0^{\sqrt{2}/2} \frac{\arcsin(x)}{x} \ dx=\frac{1}{2}G+\frac{\pi}{8}\log(2)$$

It has some catalan something in it right?
oh
I remember the one from 0 to 1
that is $\frac12\pi\log 2$

6:59 PM
@Alizter It flows naturally.

Hey everyone. Is there a way to make MathJex compile properly in chat?

@Chris'ssis You know that obsession you had with fractional part integrals at some point.
I would love to see some closed forms to ones you talked about

@daOnlyBG here

Got it. Thanks!

@Alizter I still like fractional part integrals ... :-)

7:01 PM
@Chris'ssis Do you remember the one I came up with?
That you found was $\log \pi$
that was a good day :P

@Alizter Yeah
@Alizter :D
Wait then ...

@Chris'ssis You did a similar generalisation of it what was the closed form?

@Alizter $$\int_0^1 \int_0^1 \left \{2\frac{x}{y} \right \} \left \{2\frac{y}{x}\right \} \ dx \ dy$$

@daOnlyBG np pal :-)

@Chris'ssis I have an idea. Maybe polar coordiantes.

7:08 PM
@Alizter

@BalarkaSen

@Alizter?

@BalarkaSen?

@Alizter What did you think of those geometric way to understand galois theory stuff then?

@BalarkaSen Oh it was cool however...
I still am not sure about the loops

7:10 PM
What loops?

For example $x^5-x-1$ was our symmetric group one right?

@JasperLoy

@Alizter Yes

@user130018 Yes.

@JasperLoy Hi

7:10 PM
If you do $x^5-x$ it is the same thing translated no? So what has it got to do with the group?

@Alizter It isn't.

@user130018 Hehe.

If I say B=A^5-A

Erm. Can we move on to NT chat? It's too crowded here.

it is same

7:16 PM
Hi people

hello @UserX

hi

how did your studying number theory go?

Hi Professor @TedShifrin

Hi @skull

7:18 PM
@TedShifrin!

re @Balarka

rehi to you too

@TedShifrin are you ready for Halloween?

@BalarkaSen I crammed 60 pages of NT and 80 of euclidean geometry, now I got a lot of euclidean geometry left

Good. Let those be left.

7:19 PM
Bought candy ... Usually trick 'r treaters don't show up much

@UserX what have you learned then?
modular arithmetic?

Up to euler's theorem. Although I don't really understand everything

how much time left?

I'll go with the hope that there will be no number theory on this one, I'll pass this one and will have time to read for the next one
11 hours
Gotta sleep too though...
Hah, I'm using modular arithmetic to answer you the how much time :P

:D

7:29 PM
@UserX Compute $2^{59}$ modulo $109$

"What is the difference between method and device? A method is a device which you used twice."
What is the difference between an analysis and a method? An analysis is a method which you used twice.

Thus analysis is a device which you used four times?

Indeed.
In different contexts...

@BalarkaSen No way, they are more rewarding.

@Sawarnik "rewarding" huh?

7:41 PM
Yes.
And interesting.

sure is. but number theory is interesting too.

Maybe.

i don't get the "rewarding" part

Well.
Ok, leave it, not really rewarding.

@IceBoy do you know statistics? :)

7:49 PM
@BalarkaSen I don't know how to compute that :P 59 is prime, 109 is prime is reminds me a little of fermat's little theorem that deals with some mod(p) but I can't connect them
Also, is there a faster way to check if x is prime other than eratosthesis sieve?

8:15 PM

8:29 PM
@IceBoy have you heard the viral news that earth will be in darkness for 6 days from dec 16 to 21 ? :p
I wonder how people fall for that O.o

no?

ignorance is infinite

And you know the theory backing it ?

nope

8:31 PM
Lol debris from a solar storm will cover the sun for 6 days lolzzz
And people actually believe that crap

:D

@TheArtist I thought they asked people from Hammerfest.

@DanielFischer whats hammerfest? :p

@TheArtist A town in the north of Norway. They sink in darkness for weeks every winter.

The viral Vedio and images go as "NASA confirms 6 days of darkness" :p
@DanielFischer this news is for the whole world :p

8:34 PM
@DanielF !

Hi @Ted.

Our last day of peace, @DanielF (not counting the ghosts and goblins that will be showing up at my door).

@TedShifrin are you ted the teddy bear? :D

Ah, speaking of Halloween, I see Sawarnik has transmogrified to a bat.

You never know, @Ted, some people actually cool down during suspension.

8:35 PM
Really, @DanielF? I would think the opposite :)

@TedShifrin Rare, but not unheard of.

You'll just never know, @TheArtist.

Why is Matt Ellen spelling his name in Cyrillic in the English room?

Double negation, @IceBoy?

8:37 PM
Insert comma, @DanielF.

^
:-)

@IceBoy the point is , legal media has to come out and tell that nasa didn't tell this :p until that people believe that

@DanielF, are you baking us a cake soon?

In the ELU room, they should be able to do that themselves.

LOL @DanielF (sans virgule).

8:38 PM
@IceBoy most people who hasn't seen this news still believes in the darkness lol

@TedShifrin Will you come around here soon?

Around where?

@TedShifrin Around here, it'll be difficult to pass you a piece of cake across the big pond.

Oh ... Well, you never know :) But no immediate plans. Still haven't 100% decided I'm retiring. I hate the agonizing. :(