Mathematics - 2012-10-01 (page 2 of 2)

user19161

20:00

@OldJohn Ah, I selected the relevant paragraphs for you already. I think it is 38-44.

Old John

@JasperLoy aha - I lost that info - thanks, that will certainly narrow it down :)

user19161

@OldJohn Yes, now the reading will only take 1 minute. =)

Old John

reading now :)

@JasperLoy takes a minute to read - and a day to digest!

very interesting stuff

user19161

@OldJohn When I read them, suddenly every religion in the world started to make sense. It was like an epiphany!

Old John

@JasperLoy I have not had that experience yet - but maybe when I re-read them at a quieter time, I might :)

user19161

20:08

@OldJohn I am surprised this is not often quoted. I guess maybe it is to avoid possibly offending other religions' followers.

Old John

I have never personally felt that need :)))

I have a dim view of most of the traditonal western religious attitudes

my avatar is even based on a comic produced by an Iranian atheist group

user19161

When they burnt some buildings to protest against the inclusion of the Prophet in comics in the Netherlands, that was extreme.

N3buchadnezzar

Your believes does not make you a good person, your actions does.

2

Old John

@N3buchadnezzar agreed

user19161

But then, those who included it in the comics should know better not to do that either.

N3buchadnezzar

20:13

Actions/behaviour

user19161

So people should learn to show consideration for one another.

N3buchadnezzar

Buddism

Old John

@JasperLoy the comic I am talking about was not the infamous one that caused the burnings etc.

user19161

@N3buchadnezzar beliefs is the plural form of the noun

Charlie

@N3buchadnezzar i like buddism.what does it have?

Peter Tamaroff

20:14

@Charlie If they don't have cookies, it's not worth it.

Charlie

I studied in a catholic school but we studied all religions

N3buchadnezzar

@Charlie Serenity

user19161

@n3b I visited the nerdnirvana.org!

N3buchadnezzar

►

Charlie

@N3buchadnezzar I try to follow the 4 noble truth.

the truth is :it's really hard to do so

user19161

20:18

@Charlie Do you still call yourself a Catholic then? Officially, I have no religion. Unofficially, I study them all.

N3buchadnezzar

What I do like about Buddhists is that they mind their own business, they work for themselves. Not to provoke, displease, fight etc.

I mean Buddhists also have fought, killed and burned down villages. But not to the extent the other big religions have.

Charlie

@JasperLoy I , officially, don't like to talk about religion...I follow my heart and try to have some peace...question everything...etc.I have a religion , but , like you said, i like to read about others.like i told you, even judaism.

Old John

@JasperLoy we are very similar there

N3buchadnezzar

I try to study life instead...

It is much more fun!

Charlie

@Argon Hey Argon, If a scream with you, you wont react.

@N3buchadnezzar nice!

Argon

20:23

@Charlie :)

Charlie

@Argon love these jokes!

N3buchadnezzar

I love chemical jokes, but all the good ones Argon.

4

user19161

I just understood the argon thing. I am slow.

user19161

I like only stupid jokes, those that are not too deep.

Peter Tamaroff

@JasperLoy "Are gone"

Charlie

20:24

@N3buchadnezzar Ba dum tss

user19161

@PeterTamaroff Pedro!

Argon

@N3buchadnezzar Ouch.

:)

Peter Tamaroff

@JasperLoy Dude, just be quiet for a sec and see this:

$$\frac{1}{{1 + {x^2}}} = \frac{1}{{1 + {x^{4n + 2}}}}\sum\limits_{k = 0}^{2n} {{{\left( { - 1} \right)}^k}{x^{2k}}} $$

Charlie

@N3buchadnezzar man, in school i was full of scientifical jokes!!no one liked...i was the only one who used to laugh...

Peter Tamaroff

$$\int\limits_0^a {\frac{{dx}}{{1 + {x^2}}}} = \int\limits_0^a {\frac{1}{{1 + {x^{4n + 2}}}}\sum\limits_{k = 0}^{2n} {{{\left( { - 1} \right)}^k}{x^{2k}}} } dx$$

Charlie

20:26

I love when he does it

N3buchadnezzar

Our lecturer usually tells us a joke every lesson

Peter Tamaroff

By the IVT for integrals

user19161

Again for those interested in what I shared with oldjohn, it is the brahmajala sutta, paragraphs 38-44. You can find it here. accesstoinsight.org/tipitaka/dn/dn.01.0.bodh.html

Peter Tamaroff

$$\eqalign{
& \int\limits_0^a {\frac{1}{{1 + {x^{4n + 2}}}}\sum\limits_{k = 0}^{2n} {{{\left( { - 1} \right)}^k}{x^{2k}}} } dx = \frac{1}{{1 + {c^{4n + 2}}}}\int\limits_0^a {\sum\limits_{k = 0}^{2n} {{{\left( { - 1} \right)}^k}{x^{2k}}} } dx \cr
& = \frac{1}{{1 + {c^{4n + 2}}}}\sum\limits_{k = 0}^{2n} {{{\left( { - 1} \right)}^k}\frac{{{a^{2k + 1}}}}{{2k + 1}}} \cr} $$

But then....

N3buchadnezzar

Proof that $\pi$ is irrational
$\sqrt{2}=1.41$
$\sqrt{3}=1.73$
$\sqrt{2}+\sqrt{3}=3.14=\pi$
Since both $\sqrt{2}$ and $\sqrt{3}$ is irrational, so is $\pi$.

Charlie

20:27

@N3buchadnezzar nice!my real analysis prof told a lot.i used to laugh more than the others.i even ilustrated one.

Peter Tamaroff

$$\frac{1}{{1 + {a^{4n + 2}}}}\sum\limits_{k = 0}^{2n} {{{\left( { - 1} \right)}^k}\frac{{{a^{2k + 1}}}}{{2k + 1}}} \leqslant \int\limits_0^a {\frac{{dx}}{{1 + {x^2}}}} \leqslant \sum\limits_{k = 0}^{2n} {{{\left( { - 1} \right)}^k}\frac{{{a^{2k + 1}}}}{{2k + 1}}} $$

Assume $|a|<1$

Then taking $n\to\infty $ means....

$$\eqalign{
& \mathop {\lim }\limits_{n \to \infty } \frac{1}{{1 + {a^{4n + 2}}}}\sum\limits_{k = 0}^{2n} {{{\left( { - 1} \right)}^k}\frac{{{a^{2k + 1}}}}{{2k + 1}}} \leqslant \mathop {\lim }\limits_{n \to \infty } \int\limits_0^a {\frac{{dx}}{{1 + {x^2}}}} \leqslant \mathop {\lim }\limits_{n \to \infty } \sum\limits_{k = 0}^{2n} {{{\left( { - 1} \right)}^k}\frac{{{a^{2k + 1}}}}{{2k + 1}}} \cr
& \mathop {\lim }\limits_{n \to \infty } \sum\limits_{k = 0}^{2n} {{{\left( { - 1} \right)}^k}\frac{{{a^{2k + 1}}}}{{2k + 1}}} \leqslant \int\limits_0^a {\frac{{dx}}{{1 + {x^2}}}} \leqslant \ma…

$$\int\limits_0^a {\frac{{dx}}{{1 + {x^2}}}} = \sum\limits_{k = 0}^\infty {{{\left( { - 1} \right)}^k}\frac{{{a^{2k + 1}}}}{{2k + 1}}} $$

Viz

@JasperLoy KAPOW.

Wait, is that the arctangent!? =)

user19161

@jayesh I got your beautiful sayings, thanks!

user19161

@PeterTamaroff Can't think now dude, can't think now. Let the other bros help you.

Peter Tamaroff

@JasperLoy I'm not asking for help, just showing you that...

user19161

@PeterTamaroff OK OK. =)

Charlie

20:33

2

@N3buchadnezzar here it is

N3buchadnezzar

@Charlie WOW

user19161

@Charlie What is that drawing about?

N3buchadnezzar

When I was a kid my best friend was $\sqrt{-8}$, too bad nobody else could see him..

Charlie

@JasperLoy my prof was talking about contradiction proof.then he said, to help us that, to deny quantifiers :"is the travel of no in the land of quantifiers"

@JasperLoy my prof

user19161

@Charlie As you can see, I need to keep refreshing Chrome for chat.

Charlie

20:36

@JasperLoy damn it

user19161

This is a very serious bug in functionality!

N3buchadnezzar

No your mum

Old John

@JasperLoy don't understand it - I always use Chrome or Chromium (under Linux) and never have to refresh

Argon

@Charlie Lets just take all these chemistry jokes, and barium.

Charlie

@Argon :DD

@Argon in portuguese some good jokes appear

Argon

20:39

@Charlie Unfortunately, I'm not able to speak this language.

N3buchadnezzar

I would tell you a chemistry joke, but I doubt I would get any reaction..

Argon

@N3buchadnezzar Haaa

Charlie

@N3buchadnezzar haha

Argon

You are in your element

N3buchadnezzar

Old John

20:41

enough with all the chemistry puns already!

N3buchadnezzar

Good thing I have never taken any chemestry ever.

Old John

@N3buchadnezzar I gave it up at the earliest opportunity

Argon

That bad?

Charlie

this is full of jokes about chemistry.it's portuguese..but it's fun!

what's the sound of chemist falling from a building?IUUUPAC

Argon

@Charlie :)

IUPAC has made my life miserable

Charlie

20:49

@Argon why?

Argon

@Charlie Nomenclature

Charlie

@Argon oh.

Argon

@Charlie I blame them for my misery.

Charlie

@Argon hehehe

Peter Tamaroff

@Argon Today I had chemistry at my uni...

Argon

20:52

@PeterTamaroff And how was it? Loads of fun, I'm sure?

Peter Tamaroff

@Argon Not really, we had some organic nomenclature and structures and formulas, chirality, esteroisometry, diax-something, levo something

Argon

@PeterTamaroff Sounds complicated. Organic chem is not too fun.

Peter Tamaroff

@Argon Yeah, then talked about polihidroxialehydes and polihidroxiketonesmaking up sugars and stuff

midtermis this Thursday

Argon

@PeterTamaroff Do you lose marks for spelling?

Peter Tamaroff

@Argon Hehehe, it is in Spanish, don't worry! I'm searching how they are called en english, though,

Argon

20:56

I know only how to name basic hydrocarbons, really

Peter Tamaroff

@Argon In Spanish we use "hidro" instead of "hydro"... I'm kinda lazy minded now, long day

Argon

@PeterTamaroff No problem

@PeterTamaroff Spanish? Where are you from?

Peter Tamaroff

@Argon Argentina.

Argon

@PeterTamaroff I have some family there

Jim_CS

Say we have a group G which is the integers under the operation of subtraction...In that case is every g in G its own inverse?

Charlie

20:58

@Argon where are you from?

Argon

Canada

Peter Tamaroff

@Argon Really? Where?

Argon

@PeterTamaroff Buenos Aires, I think

Jonas Teuwen

@JayeshBadwaik Basically none. Just different point of view. But there are distributions which are not measures.

@OldJohn Hi.

Argon

Many South Americans here, eh?

Jonas Teuwen

21:00

So say I see $t^n$ combinatorically as a ordered set of $n$ elements. Then products are concatenations. What are integer products? Disjoint copies?

Old John

@JonasTeuwen Hi Jonas

Charlie

@Argon many?i thhought it was only Pedro and I...

Jonas Teuwen

Has there already been shown a picture of "Charlie"?

Argon

@Charlie I thought there were a few more regulars.

Maybe I was mistaken

Charlie

@JonasTeuwen what you mean?

user19161

21:02

@OldJohn I always wonder if it is my settings. I have launched it using the incognito flag.

Argon

@Charlie Where are you from?

N3buchadnezzar

Gummy bears!

Charlie

@N3buchadnezzar gummy bears are cool

Jonas Teuwen

@Charlie That I have not seen a picture of you! Perhaps you don't want to (which is fine), but if there has been one I want to see it.

@N3buchadnezzar What? I just had beer.

Old John

@JasperLoy Maybe the incognito flag is the problem - I don't use it here

Jonas Teuwen

21:03

At the chess club (cheap, like 1 euro) and at the bar!

Charlie

@JonasTeuwen ok.I let you know.

N3buchadnezzar

@JonasTeuwen Gummy bears does not contain beer, geesh. They contain vodka!

Jonas Teuwen

@N3buchadnezzar That's why I don't eat them 8-(.

Vodka is for Sovjets.

user19161

@OldJohn Without the flag, I would not want to use Chrome at all!

Jonas Teuwen

I like my stuff Scottish.

I have never seen something offensive here. Except the time I got compared with Hitler.

N3buchadnezzar

21:04

Rum oder Whisky?

user19161

I like my stuff Jonas.

Peter Tamaroff

@JonasTeuwen All the Vokda to the Soviets!

Old John

@JonasTeuwen ah - but were you compared favourably with him? :)))

Argon

@OldJohn Is that possible?

N3buchadnezzar

@JonasTeuwen You are a terrible painter Jonas.

user19161

21:05

I think Hitler's moustache looks stupid.

Old John

@PeterTamaroff I have Russian in-laws - and they certainly know how to drink vodka ...

user19161

I feel like pulling out Hitler's whiskers one by one.

Jonas Teuwen

@N3buchadnezzar Yea, I know.

@JasperLoy Mm... he got burnt.

Peter Tamaroff

@OldJohn I was once told by a russian he had a chunk of butter before going to business meeting where they toasted with vodka...

@OldJohn Heheh, yes.

user19161

@PeterTamaroff What does butter do?

N3buchadnezzar

21:06

@OldJohn I drank with some Finns on friday, We drank quite an amount..

user19161

I mostly drink tea and water.

Old John

@PeterTamaroff the cure sounds more disgusting than the disease :)

Peter Tamaroff

@JasperLoy I think alcohol and butter react in some manner, no idea though...

Old John

@N3buchadnezzar Finns are great - but drink way too much

user19161

@PeterTamaroff Fail your chemistry!

Peter Tamaroff

21:07

(Usually, it is better to drink with a full stomach!)

N3buchadnezzar

Nooo, a perfect amount. Just a bottle each

Jonas Teuwen

I like to count things, why am I getting a PhD in analysis and not combinatorics? 8-(.

@OldJohn Until you feel the aftermath of the disease 8-).

user19161

@JonasTeuwen You can do both like Timothy Gowers!

N3buchadnezzar

I have heard and experienced Oil/butter makes you feel the effect of alcohol later. But when you feel it you get it 120 percent.

Old John

@JonasTeuwen True

Jonas Teuwen

21:08

@JasperLoy Yea, doing that.

N3buchadnezzar

@JonasTeuwen Drinking and counting is not a good combination.

Old John

@JonasTeuwen I followed your advice and unleashed Emacs again on my machines - I remember now why I liked it so much in the past

Jonas Teuwen

@N3buchadnezzar I am not allowed to count, therefore I drink.

@OldJohn 8-)! Good.

But my paper will be sent to a combinatorics journal... it is something to start with 8-).

user19161

@JonasTeuwen I think I would like to do something in fourier analysis or riemannian geometry.

N3buchadnezzar

►

Jonas Teuwen

21:09

I have some problems in especially the first.

Charlie

there was a brazilian singer/composer who drank brandy with beer for beer don't be alone

Jonas Teuwen

Also in the latter one.

Old John

Was Villa Lobos Brazilian or Argentinian?

user19161

The guys in the TeX room tell me that Brazil has the most beautiful women in the world. Is that true?

Charlie

@OldJohn brazil

incredible composer

N3buchadnezzar

21:10

@JasperLoy Sweeds are nice too

user19161

@N3buchadnezzar Good for you.

Old John

@Charlie yep - just realised my question was stupid - I remembered "bachianas brazilieras" :(((

N3buchadnezzar

It boils down to preferences as everything else.

user19161

I remember the 3 tenors singing Brazil.

Charlie

@N3buchadnezzar LOL i can't stop lauging...:DDDD

OMG

Jeez

user19161

21:12

@Charlie So many D's. How many mouths do you have?

Charlie

@JasperLoy just one.but capable to give many smiles

N3buchadnezzar

He is talking about counting obviously

Argon

@Charlie :))))

user19161

@Charlie My mouth is very small. I had to take out two teeth because there was not enough space.

N3buchadnezzar

Thats what ...

user19161

21:13

So without any wisdom teeth, I now have 26 visible teeth in my mouth.

Argon

@JasperLoy I had one wisdom tooth taken out

It was not fun

Charlie

@JasperLoy i still don't have wisdom teeth

user19161

@Charlie Yay!

N3buchadnezzar

@Charlie Read more math!

user19161

Wisdom teeth are painful.

Charlie

21:15

@N3buchadnezzar ba dum tss i have to eat the books

user19161

With 4 wisdom teeth, one would have 32 teeth.

user19161

That means I have very few teeth.

Charlie

@JasperLoy when i was a child ,i was called monica because of my incinsive

user19161

@Charlie Why?

Charlie

@JasperLoy it's a charcter from a comic book

user19161

21:16

Some people called me Chicken Little.

user19161

Some called me Spongebob.

Charlie

@JasperLoy my brother says that sometimes i give a bugs bunny look

N3buchadnezzar

anyone willy nilly to look at a PED? =)

user19161

Why not post on main?

user19161

It's better to post on main so we get rep for answering, and more people will see. =)

N3buchadnezzar

21:18

I did

user19161

Hmm, don't know anything about DEs.

user19161

The last time I touched DEs seriously was in high school.

N3buchadnezzar

=(!

user19161

We did up to second order.

N3buchadnezzar

I think I will just continue tomorow

I have a hand in for thursday with 6 problems. I was not able to complete a single problem today

Been sitting for a few hours now

user19161

21:20

@N3buchadnezzar Do you have difficulty in the classes?

user19161

What topic you find hardest?

N3buchadnezzar

@JasperLoy ?

user19161

I mean are you able to follow your courses well?

N3buchadnezzar

It deppends, they are all difficult in their own right.

Linear methods, a course about banach spaces, linearity and cauchy sequences is tough. Because of all the proofs.

user19161

I find the computations tough. =)

user19161

21:22

I can't solve differential equations...

N3buchadnezzar

4k, A course about PEDs, transformations, and so on is tough because of the computations.

Wave physics is just physics and complicated Peds, along with theory.

user19161

Looking back, I took all the wrong courses in undergrad.

user19161

I should have just taken ALL the math courses.

N3buchadnezzar

Thats what I am sort of doing..

user19161

So advice to those in undergrad: try to take ALL math courses.

N3buchadnezzar

21:23

Anyway I asked about this problem, showed my work and said this is where I am stuck.

The only reply I got was: Use that your solution satisfies the laplacian $\nabla^2 u = 0$. Which was what I had started by doing...

user19161

Hmm, I don't know what robjohn looks like.

N3buchadnezzar

It is like you have problems solving $Ax + B$ for x. And the only help you get is that you have to use math.

user19161

I have seen oldjohn before though.

user19161

@N3buchadnezzar Well, maybe someone will post an answer in a few hours.

N3buchadnezzar

@JasperLoy =)

I know, I am just frustrated. I have a lot on my mind now, where as schoolwork is only a small part.

user19161

21:28

@N3buchadnezzar Sounds bad... I hope you are not going crazy...

N3buchadnezzar

Ogeli bogeli boo, i LiKe to Eat PoO!

user19161

HAHAHA

N3buchadnezzar

25.22, 24.51, 21.56, 21.11, 16.50, 20.93

Charlie

@N3buchadnezzar is there a reason for these number or just kidding?please tell me before i get crazy trying to find a pattern

N3buchadnezzar

@Charlie Rubiks cube 3x3 times

Charlie

21:41

talking about pattern,i felt a little dumb today.after a while, few years, i only realized that the tiles in the bathroom had a problem in the pattern.one tile didn't fit messing up the pattern

@N3buchadnezzar oh

N3buchadnezzar

@Charlie Sorry I will try to do faster..

Charlie

when i was a child i got frustrated for not solving rubik cube...

still can't

i even disassembled it once.to see how it worked

i'm nuts

Old John

@Charlie Of course - we all are, that's why we are here :)

Charlie

@OldJohn that comforts me :D

N3buchadnezzar

19.66, 17.89, 17.53, 17.68, 14.88, 22.83

Old John

21:46

@Charlie I bought one of the first Rubik's cubes to be imported into the UK (in about 1977) and made a couple of moves to see what changes it made - and spent 2 weeks getting it back to the start :(

Charlie

N3buchadnezzar

Blow my whistle

Old John

darn - are there really 7 billion on planet earth? Last I heard it was 6 billion ... are they reproducing THAT fast? :((

Argon

@Charlie OEIS

Charlie

@Argon i didn't know that..

Argon

21:54

@Charlie "Decimal expansion of shortest length of segment from side AB through incenter to side AC in right triangle ABC with sidelengths (a,b,c)=(3,4,5); i.e., decimal expansion of 2*sqrt(10)/3."

oeis.org/A195284

Charlie

@Argon that's sexy

that changed my life forever :')

Argon

@Charlie Glad to hear it. It's great.

Charlie

@Argon :D

N3buchadnezzar

@Charlie What it changed your sex life =)

Charlie

@N3buchadnezzar ???

N3buchadnezzar

22:03

I read your last message wrong, it was funny.

Charlie

you are debauched

@N3buchadnezzar that count censored almost killed me

:D

I lost my breath laughing

Charlie

22:19

good that you removed

peoplepower

Terrible joke.

By hypothesis of course.

Charlie

better control your happines,@N3buchadnezzar...

Jonas Teuwen

I like miserably jokes. @N3buchadnezzar Hit me!

Old John

G'night all

Charlie

@OldJohn night!

Old John

22:28

@Charlie night!

Charlie

@JonasTeuwen let's put a limit for these jokes in this chat...

peoplepower

In an exercise in Isaacs' Algebra, that minimal normal subgroups of supersolvable groups are cyclic, I gave a much easier/shorter proof than what was hinted at, leading me to suspect that I have erred. Is anyone willing to help me see my mistake?

Charlie

Well,Have agood night, day Everyone!!Bye!

Argon

@Charlie Bye!

Charlie

@Argon bye!

user19161

22:44

What did I miss? What was the removed message?

user19161

Haha @n3b. I see you have been suspended from chat for an hour. Well, an hour will pass soon!

user19161

I once got suspended too for saying something about a pussy being a cat and Dick being your neighbour.

user19161

23:30

Hey @N3buchadnezzar welcome back to chat!

user19161

@peoplepower Just post on main.

Transcript for

$Mathematics$ Mathematics