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22:09
hey
@Jordan can I say something to you
@BenjaminLim Sure
In life, try not to complain too much. No matter how tough things are, no matter how much you are suffering,etc.
Namely
because it does not get you anywhere
@Jordan Try not to look at life with the attitude "I'm hopeless everything sucks as hell"
I know that, but it doesn't change my attitude
22:13
well then change it jordan.
do you have skype?
@Jordan we talk on there
Eh, not really comfortable talking on skype
fine
but the point is
That in life
having the attitude "i'm like this, nothing will change, i'm hopeless, etc"
will lead you nowhere
the thing is
@Jordan Nothing is certain in life
the question then is
can you try not to run away from problems by complaining?
can you stay with that feeling of groundlessness at the pit of your belly?
I know what you are saying, I just need to figure out how to do things on my own
@Jordan You're probably the same age as me right?
I'm 19
common
lol
24
That is what is so frustrating about this, you are like 6 years ahead of me in math. I am struggling with math people slept through in junior high and high school
I feel like if I get stuck on a problem like this that I am just not able to do it
22:27
@BenjaminLim Hmm, so you discover this years before I did 8-). (I did not know when I was 19...) Good on you!
@JonasTeuwen In australia when you come here you should say
GOOD ON YA
Okay. Mate. Excuse me: meat.
@JonasTeuwen Complaining is sometimes just pointless.
Specially when studying.
@PeterTamaroff It almost always is if it is to people that cannot change anything in the situation.
@BenjaminLim Sorry, in what way?
everything about it
22:29
He explained what it was about, sounded very easy.
what he did not explain was how crazy it was
the lecturer for that course was terrible
@JonasTeuwen Jonas, you work with PV's everyday right?
What the heck are PV's?
@JonasTeuwen Principal Values.
@BenjaminLim And how about the students... P was not the lecturer?
@PeterTamaroff Oh, not daily, but yes.
22:30
well
pierre was not the main lecturer
it was another guy
pierre was teaching like only one lecture a week, like an extra additional "option" for students to take
@JonasTeuwen How would one PV this one? $$\int_{-\infty}^\infty \cos \varphi x dx$$
@JonasTeuwen the main material and the main part of the course was taught by someone else
I am pretty sure if Pierre had done all the teaching
@BenjaminLim How did the formal letter go?
@PeterTamaroff Wait. What? That is not a singular integral.
it would have been absolutely fabulous
@PeterTamaroff Haven't written it yet :D
22:31
@JonasTeuwen Well, see here
@PeterTamaroff I don't understand the integral.
@JonasTeuwen I'm not very sure about it either.
@JonasTeuwen Which one?
I mean, is this $(\cos \phi)x$?
@PeterTamaroff How well can you row reduce?
@JonasTeuwen $\cos (\phi x)$, sorry.
22:34
Right.
For $(\cos \phi)x$ I'd put $x \cos \phi$
@JonasTeuwen Are you surprised at a 19 year old with wisdom??
@BenjaminLim I'll turn 19 on 06/07 ! Yay! A prime number.
@BenjaminLim Yea, a bit.
@PeterTamaroff You're born in 93?
We're born on the same year!
22:36
@PeterTamaroff Okay, just split this into an integral from $-N$ to $-\epsilon$ and from $\epsilon$ to $N$ and then send $\epsilon$ to $0$.
user19161
Hello!
@BenjaminLim Yeah. You're good at maths, dude!
@PeterTamaroff not really :D
@BenjaminLim HAHAHHAA LOL
@JasperLoy are you the guy clark kent asking about tensor products :D
22:37
@JonasTeuwen Then I send $N$ to infty?
Tensoring Banach spaces?
@JonasTeuwen modules
@PeterTamaroff Yes, if it is a Riemann integral, that is how it is defined right?
@JonasTeuwen Yeah, sure.
@JonasTeuwen Well when I was like 18 I kinda got interested in buddhism and stuff
it really changed my life
22:37
Otherwise, you use some theorems...
Suddenly I started to look at life more positively
@BenjaminLim My motto nowadays is: "No problem!".
I have pneunomia and it feels like I am dying when I cough. No problem!
user19161
@BenjaminLim I was Clark Kent, but I did not ask about tensor products.
@JonasTeuwen that's good!
@JasperLoy You were Clark!?!??!?!
22:38
@JonasTeuwen shit are you for real that you have pneumonia????
@JonasTeuwen may you be healthy
But it is much better already.
I shall remember you in my daily wishing of metta:
user19161
@PeterTamaroff Yes, my username was Clark Kent and Will Hunting.
22:39
Mettā ( in Devanagari) or maitrī () is loving-kindness, friendliness, benevolence, close mental union (on same mental wavelength), and active interest in others. It is one of the ten pāramīs of the Theravāda school of Buddhism, and the first of the four sublime states (Brahmavihāras). This is love without clinging (upādāna). The cultivation of loving-kindness (mettā bhāvanā) is a popular form of meditation in Buddhism. In the Theravadin Buddhist tradition, this practice begins with the meditator cultivating loving-kindness towards themselves, then their loved ones, friends, teac...
@HenningMakholm Yeah, tell me about it. I just spent an hour working out an answer and graphics.
@robjohn sorry our conversation ended so abruptly yesterday
@JasperLoy LOL
user19161
@BenjaminLim You must remember me too. I don't have pneumonia but I have something else which I shan't disclose.
@PeterTamaroff: I just wrote an answer to this question, too. I will need to read yours now. It is a bit longer.
22:40
the problem is, how can I when I don't know what it is?
@robjohn You have to accept mine is longer, no matter what question we answer.
what is it?
ahahhahahahaha
user19161
@BenjaminLim You can just wish that my three wishes come true, though I won't disclose them. I assure you they are not evil wishes.
@JasperLoy (Just mocking you)
22:41
@robjohn what races exactly?
user19161
@JonasTeuwen I have a great sense of humour, don't worry.
Good that you are not German.
Always when I try this on Germans, they seem to feel insulted.
@robjohn because if you mean the rep races i'm going to be inactive the next few days as i have an exam coming up.
user19161
Anyway I just got 20k on ELU!
22:43
@JasperLoy Here, have a napkin.
user19161
@BenjaminLim Good for you!
user19161
@PeterTamaroff Er, what's the napkin for?
@JasperLoy Well, then have a cupcake.
@BenjaminLim Those are cool judges. Also, the not looking thing is cool.
22:47
hahahahah!
we have a show here called the voice
@PeterTamaroff One of the judges is Seal
and there's the guy from good charlotte
@Eugene It was just an expression... how are things.
@robjohn oh! i'm sorry i still don't understand north american colloquialisms. i'm fine. exams coming up so that's a bit irritating. have to stop doing algebraic geometry for a short while
@PeterTamaroff I was just looking at that in your answer. I don't see how that works out.
22:49
@Eugene They use a lot of slang here:
@BenjaminLim JK it is what it is.
@Eugene For example what do you understand by "salad"??
@PeterTamaroff hahahaha
troll comics?
@robjohn Jonas spelled it out. The solution is by means of principal values.
@PeterTamaroff but the limits don't exist.
youtube.com/watch?v=oTEJLohEEzU I hate it how they call him australia's justin bieber
justin bieber is not even hot
@JasperLoy his new hairstyle sucks
22:51
@BenjaminLim You'd be in jail, dude.
@PeterTamaroff I hate that guy
user19161
@BenjaminLim Oh I like JB. I used to look like him in the past.
his new hairstyle is not even attractive
In mathematics, the Cauchy principal value, named after Augustin Louis Cauchy, is a method for assigning values to certain improper integrals which would otherwise be undefined. Formulation Depending on the type of singularity in the integrand f, the Cauchy principal value is defined as one of the following: * the finite number ::\lim_{\varepsilon\rightarrow 0+} \left[\int_a^{b-\varepsilon} f(x)\,\mathrm{d}x+\int_{b+\varepsilon}^c f(x)\,\mathrm{d}x\right] :where b is a point at which the behavior of the function f is such that ::\int_a^b f(x)\,\mathrm{d}x=\pm\infty :for any a \int_...
@JasperLoy I don't like the new JB
22:52
@BenjaminLim the appetizer?
The old JB me gusta
@Eugene No it's marijuana
@BenjaminLim You're getting creepy dude
@BenjaminLim Is that related to the "suck-cut" a la Wayne's World?
@PeterTamaroff Porque no los dos?
ah just another version
22:52
@BenjaminLim I usually call salad grass. But just to mock veggies.
@robjohn no, it's a term the surfies and skaters use
@PeterTamaroff Trust me marijuana is not as fun as it seems
@BenjaminLim You really need a Nicholas Cage again?
@BenjaminLim Oh, tell me more!
need a nicholas cage?
Justin Bieber, when I last heard him reminded me of some boy that still has a voice to break, say.
Not really "manly".
@JonasTeuwen hahahahahahha
22:53
I sound like Tom Waits now.
look at him now jonas
@PeterTamaroff well you get a bit high but that's all
@PeterTamaroff but $\displaystyle\lim_{L\to\infty}\int_{-L}^L\cos(x)\,\mathrm{d}x=\lim_{L\to\infty}2\sin(L)$ which doesn't exist.
is that nicholas cage?
@BenjaminLim Seriously dude, stop taking me seriously!!
22:54
doesn't look like him
@robjohn According to Jonas, we use this
@PeterTamaroff :D
@robjohn $$\int\limits_{ - M}^M {\cos \varphi x} dx = \int\limits_{ - M}^{ -\epsilon } {\cos \varphi x} dx + \int\limits_{\epsilon}^M {\cos \varphi x} dx$$
@BenjaminLim I am familiar with "sucks", I was just relating it to haircuts :-)
Then let $\epsilon$ to $0$. I works out.
22:55
ahahahahahahahahah
user19161
@JonasTeuwen My voice is very deep, though I have a baby face. People are shocked when they hear me talk the first time.
@JasperLoy the problem is that cody simpson I believe is str8
@PeterTamaroff I will have to have a talk with Jonas... this is not right.
@JasperLoy Like Barry White?
@robjohn I don't see what he did 8-).
@JonasTeuwen Dude my uncle is seriously addicted to barry white
22:57
3 mins ago, by robjohn
@PeterTamaroff but $\displaystyle\lim_{L\to\infty}\int_{-L}^L\cos(x)\,\mathrm{d}x=\lim_{L\to\infty}2\sin(L)$ which doesn't exist.
@robjohn I just gave him a way to make sense of the integral, by two limits.
But if that is the correct interpretation: I don't know.
Well, actually I said, compute:
user19161
@BenjaminLim Well, not a problem unless you want to date him.
hahahahaha
$$\int_{[-M, M] \setminus (-\epsilon, \epsilon)} \cos \phi x \, \text{d}x.$$
@robjohn check out this discussion going on at MO
2
22:58
@JonasTeuwen Yeah.
Then, in some way, the limit for $M$ and $\epsilon$ "return" your original integral, but in the ordinary sense it fails to exist.
@JonasTeuwen I know. But it works out.
user19161
@BenjaminLim I'm straight by the way, in case you thought otherwise.
no worries :D
But what you wrote missed the integral $\int_{-\epsilon}^{\epsilon}$.
22:59
In australia it is legal to be straight and gay.
@JonasTeuwen Whoops!!!!
I'm really sloppy these days.
@BenjaminLim Wait, what?
yes I am serious.
user19161
But I had many gay friends in the past, of both sexes.
@BenjaminLim I'm sorry to hear that.
no problem
23:01
I wouldn't know. I usually don't ask people about their sexual preferences.
@Eugene I guess the answer to that question depends on your level of addiction :-)
@robjohn well i think they are referring to the creme de la creme
ie terence tao, noam elkies, etc
@BenjaminLim You mean bisexual. Why would it even be illegal?
@Eugene I am sure that Terry is busy doing work he gets awards and money for :-)
In The Netherlands is illegal not to be gay.
23:02
@JonasTeuwen I heard in CA pot is legal.
@PeterTamaroff It is legal to be st8, gay or bisexual
@Eugene He got a couple of awards at UCLA recenlty.
user19161
@robjohn While mere mortals hang out here answering trivial questions!
@PeterTamaroff Not quite, but they keep trying.
I like Bourgain more than Tao 8-)).
23:03
@JasperLoy Indeed!
@robjohn Ugh all my trip plans are ruined!
@PeterTamaroff If you can show medical need, then you can carry it.
Here you can just carry it, but I wouldn't know why you would want that.
I have never seen anyone become better.
@robjohn he is but the thing about tao is that he can do that and write a book and his blog and answer questions on MO, etc...
@PeterTamaroff Here it is "de-criminalised"
23:05
Usually they figure that out after a couple of months as well, and then stop 8-).
@BenjaminLim Where were you again?
ACT, australia
@PeterTamaroff Your surname tamaroff I don't know the origin where it's from
@Eugene I got the badge now :D:D
@BenjaminLim Russian. It should be Tamarov. I'm actually thinking about changing the $ff$ with $v$ someday.
oh shit
@BenjaminLim that's good
23:07
are you russian????
Where is our cool guy @Ilya?
how come you're in argentina?
@BenjaminLim No, my greatgrandparents were.
ah ok!!!!
@BenjaminLim My greatgrandparent escaped from Russia. He was a Jew, an Anarchist and a Socialist.
23:08
@PeterTamaroff I like how mexicans call americans "gringos"
it's so funny
user19161
@JonasTeuwen So Ilya is a guy, not a girl!
@PeterTamaroff Do you know the phrase "porque no los dos" ?
user19161
@PeterTamaroff Sounds complicated.
23:08
@BenjaminLim Hahaha right.
¿Porqué no los tres?
he was the son of a tsar?
@Eugene yes, but I am sure that MO takes a backseat. The presence of others there to take up the slack may reduce its urgency.
@BenjaminLim What? Why would he be the son of tzar?
Okay, I suck at combinatorics. Given $\ell$ how many different ways are there to have $\ell_1 + \dots + \ell_k = \ell$ for all integers $\ell_i$?
user19161
23:09
Oh JB sounded quite awful in the Christmas video with MC.
@robjohn We're not considering the same PV rob. I think my solution is OK.
@robjohn i guess. does it really matter how exciting MO is though?
These "regularization" techniques usually are not very unique.
@PeterTamaroff what PV are you considering?
@BenjaminLim And I have a German side too!
23:10
@JonasTeuwen I think you're looking at some kind of partition/generating function
@PeterTamaroff nice!!!!!!
@robjohn $$\int\limits_{ - M}^M {\cos \varphi x} dx = \int\limits_{ - M}^{ -\epsilon } {\cos \varphi x} dx + \int\limits_{\epsilon}^M {\cos \varphi x} dx +\int\limits_{ -\epsilon }^\epsilon {\cos \varphi x} dx$$
@Eugene It depends on who visits for what reason.
@PeterTamaroff what's with the part near $0$? there is no problem there.
I'm trying to compute the power series of $(\lambda - u)^{-2k}$ and I don't feel like integrating the geometric series too often 8-).
@robjohn i see now.
23:11
@robjohn The part near $0$? He wanted a principal value 8-).
@BenjaminLim HAHAHAH i didn't see it, I found out yesterday too. I loled, what a fool, Nalbi!
how did you find out?
@BenjaminLim Hmm, are that not just the Stirling numbers of the second kind?
@PeterTamaroff I think Carlos tevez would have been proud at that kick :D :D
@JonasTeuwen perhaps yes.
@BenjaminLim I am a tennis teacher, so I've been playing tennis for sometime, and people around me also do, so I found out.
23:12
@JonasTeuwen what we are arguing about is is there a PV for $\int_{-\infty}^\infty\cos(x)\mathrm{d}x$ that makes sense and has a value.
@BenjaminLim Hahaha, you seem to know us.
Errr, wait it means something else to me. For me it means cutting off near $0$.
@PeterTamaroff Although I think lionel messi is an arrogant dick
Which is probably wrong.
you guys still lost in the world cup to germany 4 - 0
23:13
@BenjaminLim Messi? You're kidding, right?
no I hate that guy and the rest like xavi and iniesta at barca
user19161
@BenjaminLim This reminds me, the Olympics is coming!
@BenjaminLim this is absolutely ridiculous.
@robjohn I think the fixing was ad hoc, but it works :P
23:14
@BenjaminLim Sad, you don't know Messi then.
@JonasTeuwen when they blow up near $0$, yes. but when the problem is oscillation near $\infty$, we need the symmetry with $L$ and $-L$
bunch of cheats barcelona
@robjohn Yes, so just split near $0$, right? Then we have cute cancellation.
@robjohn The thing is that what JT is saying.
@JonasTeuwen for example, with $\int_{-\infty}^\infty\frac{\sin(x)}{x}\mathrm{d}x$ which does exist
@JonasTeuwen cancellation with an even function?
23:16
If we centered the expansion at $\pi/2$ we'd be cool.
...As a Riemann integral right? (just use the alternating harmonic series 8-)).
@robjohn It converges conditionally.
@PeterTamaroff which is the same as what I was saying because there is no singularity at $0$
@PeterTamaroff Yes, it is the prototype of a singular integral which is not Lebesgue integrable but is Riemann integrable.
@PeterTamaroff The reason why argentina lost was because messi was snuffed out
when he got the ball 4 players surrounded him
he could do nothing
23:17
@PeterTamaroff the PV exists unlike with $\cos(x)$
yes usually people can do nothing when surrounded by 4 players if that's the benchmark you're using.
2
@Eugene Booyah!
@robjohn Errrr... Sorry. I will blame the pneumonia 8-).
@PeterTamaroff is maradona still the coach of the national team?
@BenjaminLim No way. He's in Saudi Arabia
23:19
but then again not many players are considered good enough to have 4 players take the time to surround him.
hahaha
@Eugene you forgot about cristiano ronaldo
and messi is really not arrogant.
@Eugene 245 rep today.
so messi is arrogant but christiano ronaldo is not??
you have a weird perception
@PeterTamaroff shut up
@Eugene Messi is not arrogant. He's the most humble footballist I know!
23:20
@PeterTamaroff you know messi personally? lol
@Eugene Yeah Yo
Even if you multiply it by $e^{-\epsilon x^2}$ this will depend on which limit you take first...
@Eugene Shut up. We all know him.
@PeterTamaroff yet you still ask me for help in number theory...
@JonasTeuwen The principal value of a principal value!
Principalvalueception.
@Eugene What?
23:21
But that is robjohn's point, the principal value of $\cos x$ is booo.
@PeterTamaroff 9452 rep but you still ask me for help in number theory??
@JonasTeuwen Then I shal ask for a Presidential decree that it is $0$. Our President is great with passing decrees.
@Eugene Hahaha, not again.
@PeterTamaroff bah!
@PeterTamaroff i should ask you for help in algebraic geometry oh mighty one!
@Eugene I downloaded the one by SPENCE INSEL and FRIEDBERG.
@PeterTamaroff who?
23:23
@Eugene Then what is Arturo? LOL
@Eugene The linear algebra book.
@PeterTamaroff arturo is i don't really know...
@PeterTamaroff Great.
@JonasTeuwen Is it good?
@BenjaminLim Yea, it must be the Stirling numbers plus some things because the "empty set" is also possible.
@PeterTamaroff Yea, set it $0$ by decree.
@Eugene I really like this one by Bill
@JonasTeuwen Hahaha I mean the book, lol.
23:26
Which book?
Linear Algebra SPENCE INSEL and FRIEDBERG.
@JonasTeuwen Yes. I dabbled in that stuff before but now no more!
@PeterTamaroff read messer like i suggested.
@Eugene OK. I'll try download it.
i think most of math reduces down to some linear algebra problem that must be solved.
23:28
@Eugene MOST OF MATH
What kind of sorcery is that?
you'd be surprised how much of it is about vector spaces or basis or rank
@robjohn I am such an idiot sometimes, but at the conference some people thought I was quite smart, but... maybe that is just being nice. I don't know 8-).
@Eugene Now I'm hooked. I'll start now.
i meant the advanced linear algebra. not the stuff you're reading now
ie modules
fields
linear maps
user19161
@PeterTamaroff Oh I have that book too.
23:36
@Eugene Ah, fuck.
23:49
@JasperLoy I'm downloading it nwo.
user19161
I think I'll retire from ELU and hang out here instead from now!
user19161
@PeterTamaroff Oh OK. It's one of the better linear algebra books.
@JasperLoy Good to know, Superman!
anyone ever watch battlestar here? is it any good?
user19161
@Eugene Is it a drama series?
23:56
@JasperLoy scifi
@Eugene Battlestar Galactica?
It shouldn't be bad.

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