Mathematics - 2014-09-03 (page 2 of 2)

Hippalectryon

7:03 PM

wolframalpha.com/input/?i=volume+of+moon+as+swiss+cheese

^

Sawarnik

Hi.

Hippalectryon

@Sawarnik hi

@Sawarnik You like sequences ?

Sawarnik

@Hippalectryon Not sure :| :|

But you may give :)

Hippalectryon

I have way too much on my exercise sheet , so I thought I'd share some.

YOu might have already done them, they're quite classical

@Sawarnik Study the sequence defined by $U_0>0$ and $\forall n\in\mathbb{N},u_{n+1}=\frac{u_n^3+3}{3u_n+1}$

@Sawarnik I'm not sharing them so that you do them for me >:o i'm sharing them because I know that I won't have time to do them and therefore idc if someone spoils the solution

Sawarnik

@Hippalectryon I may not be able to do it :|

Anyways, work to do .. bye )

Hippalectryon

7:15 PM

:)

Alizter

@Khallil So today it turns out that I also apparently took chemistry a level. Which i didn't however I am going to trial it for 2 weeks. Who knows maybe it will not be too much work.

Khallil

Chemistry isn't worth the effort. Especially at A-Level, @Alizter.

Alizter

@Khallil I have a lot of choice with it so we will see. I start lessons tomorrow horay

@Khallil what uni are you gonna go to?

Khallil

It's up to you. If you enjoy the A-Level and wouldn't mind doing it, then by all means go head. I strongly advise you look at an A2 textbook. There's way too much to commit to memory without understanding in my opinion.

Warwick, @Alizter.

Alizter

7:32 PM

@Khallil I am putting that down as my second option!

With cambridge first

Khallil

Cambridge as your first?

Thought so.

Alizter

@Khallil Gotta try

Khallil

You'll get in for sure.

Wisely pick a college.

Alizter

@Khallil I still have to do well

Khallil

That's the secret to getting in.

You'll be fine!

Alizter

7:32 PM

I don't like oxford though

too snobby

Khallil

Mhm.

I totally agree.

Alizter

@Khallil Cambridge are a bit more open

plus I like the environment

Khallil

I enjoyed my very short stay at Cambridge.

Corpus Christi was very welcoming.

Alizter

I havn't been to warwick yet however I have google earthed it many a time

Hippalectryon

Cambridge._G>Oxford._G

such pun

Alizter

7:36 PM

I think imperial may also be another option

but I am scared of london :P

Khallil

KCL was my backup.

It was pretty cool when I went there.

I don't get the pun, @Hippa.

._G?

Alizter

niether do I

Hippalectryon

Lua

Programmation

Alizter

@Hippalectryon Hehe that language died very quickly imo

Hippalectryon

_G = environment

:P

@Alizter It's really useful

And incredibly simple

And flexible

Khallil

7:38 PM

Oh, I get it.

Alizter

@Hippalectryon I learnt C# and I stick with it

Hippalectryon

Btw that's where I study :D

Alizter

@Hippalectryon Wheres that?

Khallil

I haven't learnt a single comp language.

^_^, @Hippa.

Hippalectryon

@Alizter France google.fr/…

@Khallil It's never too late ;)

Alizter

7:39 PM

@Hippalectryon Our school has pain du chocolate

Hippalectryon

And Omelette du fromage ?

Alizter

But not trees like that

Hippalectryon

xD

Khallil

My school was terrible.

I had teachers that only knew how to do the most basic of things.

Alizter

@Khallil Where were you?

Hippalectryon

7:40 PM

It's pain au chocolat

Khallil

I asked a teacher for help with a C3 question and he said he only taught C1-2.

Where was I? As in which school I went to?

Hippalectryon

►

Chris's sis

@Hippalectryon you're missing in that picture.

Alizter

@Hippalectryon I forgotted french. bonjour, j'ai maple we no fromage

Hippalectryon

@Chris'ssis :) there's no one in that picture

@Alizter Do we say forgot or forgotted ?

Alizter

7:41 PM

@Hippalectryon forgotted is definitely most incorrect

Hippalectryon

j'ai maple -_____________________- did you by any chance mean *je m'appelle *

Alizter

@Hippalectryon It always reminded me of maple syrup

Khallil

No, he has maple, maple syrup.

Alizter

spelt completely differently

Hippalectryon

xD

Khallil

7:42 PM

Jinx!

Alizter

@Khallil No jinx otherwise our boxes would merge and the universe would end

Khallil

Je m'appelle Khallil et je voudrais apprendre le français, @Hippa.

Hippalectryon

@Khallil On va commencer par Omelette du fromage :P

Khallil

Omelette du fromage. Omelette du fromage. Pain au chocolat. Pomme de terre. Omelette du fromage.

^_^

Hippalectryon

xD

Khallil

7:46 PM

I love French. It sounds cool. Cependant, j'aime l'espagnol plus que le français.

Hippalectryon

Noooooooooooooooo

Khallil

Español es el mejor. ¡Sin duda!

Hippalectryon

@Khallil Then I got the perfect thing for you

Khallil

Por supuesto que si!

¿La cosa perfecta?

Hippalectryon

►

traditional Spanish music ^

Khallil

7:48 PM

Heart beer?

What?

Hippalectryon

Insta-starred

Alizter

@Hippalectryon "Traditional Spanish Music": Daaa da da daddadad ____ dadadadad ___ dadadadad_ dadadadad olay

Hippalectryon

@Alizter true :)

Alizter

We ar mehican!

Khallil

Dadadadadantoniobanderasdadadadacorazondadadadlivinlavidalocadadachachacha.

Alizter

7:50 PM

chchchahchcha

Khallil

Do you know how they write hahaha in Spanish?

Jajajajaja.

Alizter

JAJAJAJAJAJAJA

Hippalectryon

@Chris'ssis

Khallil

Is that a boarding school, @Hippa?

Also, what is this nonsense?

"You cannot star your own messages"

Chris's sis

@Hippalectryon That's a nice picture.

Hippalectryon

7:52 PM

There are prep school students living in, but most of the poeple live outside

What you see is mostly classrooms, labs, ...

Khallil

Is it free to get in?

Hippalectryon

No :c but that's not the hardest point

Lycée Louis-le-Grand

The Lycée Louis-le-Grand (French pronunciation: [lise lwi lə ɡʁɑ̃]) is a public secondary school located in Paris, widely regarded as one of the most rigorous in France. Formerly known as the Collège de Clermont, it was renamed in King Louis XIV of France's honor after he visited the school and offered his patronage. It offers both a sixth-form college curriculum (as a lycée with 800 pupils), and a post-secondary-level curriculum (classes préparatoires with 900 students), preparing students for entrance to the elite Grandes Écoles. Students at the Lycée Louis-le-Grand are called magnoludoviciens...

Khallil

I've heard good things about French schools.

Hippalectryon

The whole challenge is to be accepted in

Khallil

My old French teacher went to one of the best universities in the country. He's a cool guy.

Hippalectryon

7:54 PM

And to cope with the rythm

Khallil

I bet I could do it.

Joke!

Never!

Hippalectryon

:P

Khallil

I'm far too lazy!

Hippalectryon

Y u no like 42h of class a week

And 42h of personal homework

Khallil

84 hours a week?

6 mins ago, by Khallil

Alizter

7:55 PM

@Khallil That triangle...

ILLUMINATI

Khallil

That guy is the leader of the Illuminati.

Alizter

@Khallil That's a woman

Hippalectryon

I guess so

Khallil

Notice how his hair is white. He uses it to illuminate others.

Wait, what?

A woman?!?

:O

Alizter

clearly bewbs

Khallil

7:57 PM

Man bewbs?

Alizter

knee bewbs

Hippalectryon

It's a lady

sarah

@Alizter Do you know what a fifi is?

Hippalectryon

►

Alizter

wat

@sarah Google it I'm not telling you

Hippalectryon

7:58 PM

This one xD

Alizter

why did you ask that?

@Hippalectryon I loled

Khallil

Hahahahaha!

Jajajajaja!

sarah

@Alizter To make you go "wat".

It worked

Alizter

Touche

Khallil

Doucher?

Se doucher?

Hippalectryon

8:00 PM

Procrastiner ?

Alizter

obama call me maybe.

Not bad.

Hippalectryon

Someone stars the wat lady :c

sarah

Do you think she knows that she is internet famous?

Hippalectryon

No idea

sarah

Poor lady.

Hippalectryon

8:02 PM

google.fr/…

You might prefer the gif

sarah

...

Hippalectryon

we should invite people here and ask them what chatroom they think it is

Alizter

@Hippalectryon Look to the right and up

:O mathematics

Hippalectryon

I thought it was the wat channel :O

Alizter

@Hippalectryon What year are you in undergrad?

Hippalectryon

8:07 PM

Idk how you count years

When does it start, when does it end ?

Alizter

Like first, second, third?

Hippalectryon

It's my second year in prep school

Alizter

ah ok

Balarka Sen

8:18 PM

WAT

Hippalectryon

@BalarkaSen Is there something.... watty ?

Balarka Sen

The chat room just blew up.

Hippalectryon

Balarka Sen

Oy vey.

Hippalectryon

@BalarkaSen you're on the right :c

Balarka Sen

8:26 PM

ignores @Hippa

sarah

8:47 PM

I thought this was a mathematics chat room but I was wrong...

4

leaves

Hippalectryon

@sarah It used to be

Never @Alizter and @Khallil and I alone in a chatroom >:)

Khallil

9:00 PM

Is prep school like undergrad, @Hippa?

Or do you go to prep school before starting undergraduate studies?

Hippalectryon

@Khallil How would I know ? How do you describe undergrad studies ?

Khallil

Starting to study analysis and other stuff at a rigorous level.

Hippalectryon

That's vague -__-

Khallil

I know!

That's because I'm not even an undergrad yet.

Hippalectryon

What is more, prep school is a generalist branch; we do maths, physics, chem, .....

Khallil

9:06 PM

Oh, I see.

Age doesn't even matter when it comes to anything.

Hippalectryon

Then after prep school we have competitive exams

If we pass, then we have whatever school our ranking gives us access to

usually engineering schools/chemistry schools/comp sciences related schools/research universities/...

Khallil

That's a pretty cool animation.

I like stuff like that.

Hippalectryon

I have lots of those

Khallil

What's the significance of those?

They represent loci of points, don't they?

Hippalectryon

I'm not sure, I've not studied conics

Khallil

9:20 PM

Ah, I see.

Hippalectryon

^ the meaning of math

Balarka Sen

9:43 PM

Loci and foci.

topper

10:02 PM

Is the derivative of $$x-\frac{1}{2x}$$ $$1+\frac{2}{\sqrt{2x}}$$? I think I'm losing my mind

Hippalectryon

urmmmmm

@topper What's the derivative of $x^{-a}$ ?

topper

$-ax^{-a-1}$

FFS

Hippalectryon

@topper So ? what's the derivative of $\dfrac{1}{2x}$ ?

topper

$$-\frac{1}{2x^2}$$

Hippalectryon

☺

topper

10:10 PM

Yes... Believe it or not, first time round, I tried (and failed, clearly), to use the chain rule for the right term. I just did it with the divide rule and of course it worked, and $(2x)^-1$ works as well. I think this massive balls-up is a sign that I need sleep

Hippalectryon

Indeed

topper

BUT NO! Another 50 minutes until 2am my time. Must...

Hippalectryon

:O

GO TO BED ლ(ಠ益ಠლ)

topper

:)

Hippalectryon

Here let me throw you on your bed （╯°□°）╯︵(\ .o.)\

topper

10:14 PM

Genuine LOL, thank you!

Chain rule for $\frac1{2x}$. Legend

Khallil

10:29 PM

I've got a pretty neat question for you, @topper.

topper

@Khallil I'm sunk with material here

Khallil

What is the value of the following sum? $$ \sum_{n=1}^{\infty} 24^{n-1} \left( \dfrac{1}{5} \right)^{2n} $$

It's a nice geometric series question to get you thinking! You'll thank me later. ^_^

Hippalectryon

10:41 PM

Anyone still here ?

Khallil

I'm still here, @Hippa!

Give that summation question a try.

It's really nice (and easy).

Nikhil01

can someone integrate this for me please ,im stuck (p+p′′)2p′=a2b2⋅2p′p3 .and on integrating that person got this answer:- p4+p′2p2=−a2b2+p2⋅K .can some explain me please.

topper

@Khallil Sorry, I have to stick to my syllabus. Counting in hours now, and I know if I just get a couple of new techniques under my belt, I might actually pass.

Nikhil01

can someone please help me out here.

Hippalectryon

10:56 PM

'that person got this answer' ? uh ?

Who is 'that person' ?

@IceBoy @Khallil Please look at this it should be quick

0

Q: $(u_{2n})$,$(u_{2n+1})$,$(u_{3n+1})$ converge $\underset{???}{\Rightarrow}(u_n)$ converges

Let $(u_n)_{n_\in\mathbb{N}}\in\mathbb{C}^\mathbb{N}$. We know that $(u_{2n})$,$(u_{2n+1})$ and $(u_{3n+1})$ converge. The question is to know whether $(u_n)_{n_\in\mathbb{N}}$ converges. /!\ I am not looking for the detailed answer to this question, please do not post it. Something is bugg...