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12:00 AM
@draks... tell us your name :)
 
user19161
@draks... Never saw Joe.
 
I'm draks ...
 
hmm :/
 
user19161
Why did Asaf delete his answer?
 
@JacobBlack sure you didn't. You're still here...
 
user19161
12:02 AM
@draks... Justin Bieber=Jason Bourne=Jacob Black=James Bond. QED.
 
@JacobBlack whoow I didn't realise that. Let there be Wodka, shakin' not stirred...
 
@draks... hahaha
 
@JacobBlack It wasn't really to the point, since OP didn't seem to be trying to use arithmetic on "infinity".
 
user19161
@HenningMakholm Ah yes.
 
Hi everyone, I have question about Riemann Stieltjes Integral topic
 
12:09 AM
and I have a bounty ongoing:
11
Q: Two Representations of the Prime Counting Function

draks ... The bounty will be granted for the best work out of Greg's answer. Since Raymond's contributions might be very helpful to recall the necessary math, upvoting his answers is highly appreciated... I have two representations of $\pi(x)$: The Prime Counting Function $\pi(x)$ is given $$ \...

@Pilot sorry, please go ahead. I'm sure somebody can help...
 
Hell yeah.
I have a new phone - why does an Android phone need windows to update?
Also - I want to uninstall the call software 8-).
 
@JonasTeuwen Eh? I never had windows and still managed android well. Upgraded the android too.
 
Sony Experia P?
 
Naah, I have HTC Desire Z.
 
It did an open the air update for 2.3 -> 4.0...
 
12:16 AM
I am beginner in Analysis and I am very confused in understanding the following: $\int_a^bfd\alpha=f(c_1)+5f(c_2)+12f(c_3)+1/2\int_c^df(x)dx$ so can we say from this that \alpha function has dicontinuitties at c_1,c_2 and c_3 with respective values 1,5,12
 
But for 4.0 -> 4.0.1 it needs...
 
@draks... does the bounty include saying your real name?
 
@Charlie let's see... provide an acceptable answer and we'll talk about it...
 
@draks... no talk, deal or no deal
 
@Charlie deal
 
12:18 AM
good ;) @draks
 
@JonasTeuwen I see.
 
if $1/k^{\log(k)} < 1/k^2$ for $k > 100$, this automatically implies that
$\sum_{k=1}^{\infty}1/k^{\log(k)} < \sum_{k=1}^{\infty}1/k^2$ Or only for $k=100$ to $\infty$
 
We're off to celebrate Valentine's Day early. Things are too busy later this week. BBL
 
@Charlie can you really do that?
 
@draks... I hardly think so
 
12:19 AM
@robjohn Have a good time.
 
@OrangeHarvester thanks
 
@draks... If I couldI would change my name to Bobba Fett
 
user19161
@robjohn Have fun! I will celebrate by myself, as usual...
 
@Charlie reminds me that I was wrong with the last Star Wars citation...
 
@OrangeHarvester Hmm... I just went in the store and hold it, thought... looks good! Do this. 1 minute. Seems to be nice anyway.
 
12:22 AM
@JonasTeuwen Yeah, Xperia P is a really cool design. Is it full metal?
 
@draks... haha :P
 
@OrangeHarvester Looks like it.
The back side, at least :P.
 
@draks... Great song!
 
user19161
Amazing huh? People upvote comments but not questions and answers, so STINGY.
 
12:23 AM
@JonasTeuwen Awesome. :-)
 
@Charlie you wanna samba?
 
Oh noes
 
@draks... no
 
@Argon another anti-carnevalist...Hi there btw...
 
@Argon ;)
 
12:29 AM
@draks... Hm?
 
@Argon I thought your "noes" are related to the song i posted...
 
@draks... No, It was related to the Samba :). I know @Charlie is not a big fan
 
@Argon big carneval fans should be rare here today...
@Argon Why "Argon"? Are you a rare g(ue)as(t)?
 
@draks... Nobility, pal
My name is Aaron, so I like "Argon" as a username
 
@Argon no chemistry background?
 
12:35 AM
@draks... Not much. I know some elementary stuff though.
 
if you could help here
2
Q: Construction of Hadamard Matrices of Order $n!$

draks ...I'm trying to get a hand on Hadamard matrices of order $n!$, with $n>3$. Payley's construction says that there is a Hadamard matrix for $q+1$, with $q$ being a prime power. Since $$ n!-1 \bmod 4 = 3 $$ construction 1 has to be chosen: If $q$ is congruent to $3 (\bmod 4)$ [and $Q$ is the c...

 
@Argon no...
 
I would be ever so glad...
ok people gotta go now. CU...
 
@draks... Bye!
 
12:44 AM
@JonasTeuwen bugger - that is sad news
 
Yes, interestingly - there is a graph that states how long it takes before a drug gets on the market.
 
@JonasTeuwen and I bet it is not very encouraging ...
 
It is a well-known thing.
 
@Argon it could be any Amir
 
@Charlie hahahaaha
"that is my house"
 
12:46 AM
@Argon hahahahahha
 
12:59 AM
Hello
Can somebody help me by any chance with this: math.stackexchange.com/questions/300748/…
I would really appreciate it
@Alex Hello
 
Hey
 
user19161
Good night bros, see you in your dreams.
 
See you.
Good night! I need a shave for I grow a beard.
 
1:16 AM
Can anyone help me with this: math.stackexchange.com/questions/300748/…
Please
Is anyone here?
 
user19161
1:44 AM
Oh man some of the hints are really too sketchy...
 
user19161
math.stackexchange.com/a/300790/4594 this should really be a comment.
 
user19161
Hey @people how are your classes?
 
any 1 here know about integer partions
 
Here I will use $\mathbf N=\{1,2,3,\ldots\}$. If $(f_n)_{n=1}^\infty$ is a sequence of functions from $\mathbf N\to \mathbf N$ and I define $g(n)=n\prod\limits_{i=1}^n f_i(n)$, then can I say that $\forall m\in\mathbf N$ $\lim\limits_{n\to\infty} \frac{g(n)}{f_m(n)}=\lim\limits_{n\to\infty} n\prod\limits_{i=1,i\neq m}^n f_i(n)=\infty$?
 
@JacobBlack Overly large.
 
user19161
1:48 AM
@peoplepower Must be calculus then LOL
 
@JacobBlack No I was just referring to the mathematical term class.
 
is there a way to display latex in this chat or must we all parse through the code like fluent experts?
 
see the link at the top right for latex in chat
 
user19161
@peoplepower Oh, I only understand silly jokes, not sophisticated ones.
 
$$\sum_{n=0}^\infty r_2(4n+1)x^{4n+1}=\sum_{n=0}^\infty\frac{4x^{4n+1}}{1-x^{16n+4}}-\sum_{n=0}^\infty\frac{4x^{12n+9}}{1-x^{16n+12}}$$
 
2:36 AM
@robjohn @robjohn I don't quite understand how you made the first step... how did you pull the $\arctan(e^{-x})$ out of the integral as $\frac{\pi}{4}$?
(referring back to that nice and hard integral)
 
user19161
Still awake...
 
user19161
3:01 AM
@argon Have you done your homework?
 
3:25 AM
@MichaelCorleone $g(n)/f_m(n)\ge n$, so yes
 
user19161
@CogitoErgoCogitoSum I saw your comment.
 
Ive made many
 
user19161
Ha, well, it's hard to give an answer without giving more or less the full answer sometimes.
 
The 10/40 problem?
 
user19161
Yes, but anyway I have edited it to give some work for the asker.
 
user19161
3:30 AM
See, some people don't like it when I give too incomplete an answer.
 
user19161
And some don't like it when I give too complete an answer.
 
user19161
It is very hard to please everyone.
 
I dont know if that person was being sarcastic or what. When people ask a simple question and you give a simple answer... I dont know, I cant help but to criticize when people who expect more complain about not getting it when its totally unnecessary.
It just proves how gross their misconceptions are.
 
user19161
Well, a little bit of sarcasm is fine on this site. I am not talking about this case but in general.
 
user19161
Also, we must know that every thing that is said can be interpreted in 9000 ways.
 
user19161
3:33 AM
It's hard enough to understand people in real life.
 
user19161
It's even harder over the internet.
 
You cannot please everyone. I dont even try. In fact, if anything, I go out of my way to be a critic to displease them. One of my favorite attributes of mathematics is that it is totally absolute. To hell with peoples feelings.
 
user19161
I have been downvoted for giving too few details and also too many details.
 
user19161
Also, sometimes we take the time to type an answer and post a few minutes after someone else.
 
I was down voted on a question a while back... for not citing sources... totally absurd. If I found sources I wouldnt need to ask the question.
 
user19161
3:34 AM
Then they get upset as if we are plagiarising them.
 
Find all $p \geq 0$ such that the following series converges:
$$
\sum_{k=1}^{\infty} \frac{1}{k\log^p(k+1)}
$$
The solution is here http://imgur.com/2tWgQOa but I really don't understand this. I get the inequality and how the second series converges if $p>1$, but I don't see how this implies that the first series must converge for $p>1$.
 
user19161
I don't need to plagiarise anyone for something as simple as 1+1=2 to me.
 
user19161
@CogitoErgoCogitoSum Well, a few downvotes now and then I have gotten used to, though I still complain in this chat over them. =)
 
Math is math, it stands on its own. It doesnt matter if the Joe Theorem was discovered by Joe or not. If not Joe then inevitably someone else. Its all there already, built into the fabric of reality. No mathematician deserves credit and I dont cite sources. Ever. As long as your premises are theorems then I dont cite mathematicians or articles... because that is just an appeal to authority and is a fallacious basis to give merit to a paper or answer.
 
The way I see , this first series certainly converges from $p>1$, but how does the comparison ensure that perhaps the first series does not converge for $p > .99999987$ ?
 
3:37 AM
If people dont recognize the truth of a theorem then they are in no position to judge.
 
I fee that the comparison theorem puts a "bound" on $p$.
 
I find that most people are just petty. They down vote their competitors to make themselves look more credible. I hated that with yahoo answers. Here, they actually dock you for down voting. I appreciate that. I think they should also inform people who gave the down vote
 
user19161
@CogitoErgoCogitoSum I also want to add that some of my downvotes are accidental.
 
user19161
It's not too hard to click wrongly on a moving screen.
 
user19161
But we can reverse them within 5 minutes.
 
3:40 AM
downvotes can be undone though. I already noticed that. Just click it again.
 
user19161
After 5 minutes, we have to edit the post.
 
Oh, there is a 5 minute limit?
 
user19161
Yes, there is.
 
user19161
But that comment on the question itself that you commented on, I don't know if he was joking @cog
 
It doesnt matter. I have actually asked someone explicitly if they were "joking". They asked for some elaborating details to a question. But it was totally absurd to ask. The question was sufficiently worded to answer. The commenter was throwing out the most off-the-wall alternative interpretations I could only assume they were either retarded, joking, or being malicious.
 
3:46 AM
Being malicious
Or just an act of superiority
 
user19161
@CogitoErgoCogitoSum I just wanna add that it is very easy to misunderstand people sometimes.
 
user19161
I try not to jump to conclusions too fast.
 
My downvotes tend to start chains of such, for I am not a bandwagon downvoter and I rarely downvote.
 
I can be malicious too though. There are some things I just sooo hate. Calculus students who get confused about basic algebra is one of my biggest pet peeves, or similar such questions where the questioner is confused about the most simplistic and fundamental of prerequisites.
 
user19161
Yeah we all have our faults.
 
3:49 AM
I feel as though 50/50 up and down voting is appropriate. You dont want to be a bandwagon anything. Doing either one a little too liberally and the other conservatively is a bias, I feel. I try to judge fairly.
 
user19161
The risk of giving too few details is that the asker may actually get the wrong answer in the end.
 
Given that one of my big pet peeves of question-askers is when they fail to provide context that would save potential answerers and commenters from wild goose chases, I am obligated to be suspicious of anyone negatively characterizing another for asking for details on a question.
 
I dont mind explaining calculus to a calculus student, calculus to an algebra student, or even algebra to an algebra student. But I cannot bite my tongue when a calculus student needs help with algebra. What a crappy education system we have that such students are promoted to levels they are so painfully obviously ill-prepared for.
 
user19161
Also, the question is not just for the asker, it is for the world to read.
 
user19161
If we just give hints that are too skinny, the site looks stupid.
 
3:53 AM
Indeed. In the interest of being constructive, why should down votes be justified when up votes dont have to be? I dont like doing homework for people though. Hints are appropriate when the question is soliciting homework help.
 
@Ethan Hey
 
hi
 
How is ur studying coming along?
 
tired lol
 
I gave up on math. @JacobBlack agrees with me that math and I just dont get along
 
user19161
3:56 AM
@math101 Haha, let's leave our private conversations to email. =)
 
What are you doing now
I think, if you do anything long enough, you start to enjoy it
 
user19161
@Ethan Are you talking to me?
 
@Ethan Not sure abt that
 
user19161
@Ethan She is studying analysis now.
 
user19161
I am trying to give her some help sometimes, LOL.
 
3:59 AM
Didn't know it was a she
2
whats analysis?
Sounds like a broad term
 
Ya IT is a SHE
 
user19161
Analysis is the study of limiting processes.
 
user19161
For example, calculus in high school is part of analysis.
 
user19161
Differentiation and integration are really limits.
 
user19161
@Ethan Where do you think "analytic number theory" came from?
 
4:01 AM
analysis
lol
 
user19161
Though "analytic" can mean various things.
 
and number theory
 
user19161
It can mean just analysis, or it can mean in particular complex analysis.
 
Water towers, are towers of water
 
user19161
Elementary can mean easy or it can mean not using the methods of complex analysis.
 
user19161
4:03 AM
Real analysis and complex analysis are of course related, but they are also quite different.
 
Can you give me some fundamental results of each
Significant ones
 
user19161
Haha, I am only a mango. But I will try.
 
user19161
Haha, well for you, can I just give you the fundamental theorem of calculus for real analysis?
 
no
lol
 
user19161
Too trivial for you?
 
4:06 AM
;f
Somthing more general
@JacobBlack nvm that, its ok
 
user19161
Well, for complex analysis surely Cauchy's theorem is fundamental?
 
@JacobBlack Know any good books as an intro to enumerative combinatorics
A book that goes over standard techniques
etc
 
user19161
@Ethan Koh's Principles and techniques of combinatorics and Cameron's Combinatorics are my favourites.
 
Let me look it up
 
user19161
However, I am not sure what level books you want.
 
user19161
4:10 AM
I know you are good in number theory, but I think you really need to build up the basics.
 
I have no real background in discrete mathematics, no abstract algebra or stuff like that
 
user19161
I think there is a lot of basic material you don't really know.
 
ye I have looked at this one before, its to hard for me lol
 
user19161
@Ethan Which one?
 
I have a really simple book for discrete math
 
4:11 AM
The principles and techniques one, it assumes knowledge I don't have
 
user19161
@Ethan No, that is very simple. You can read it.
 
user19161
Cameron is harder.
 
Discrete math and its applications by Susan Epp
 
@JacobBlack I don't know any of that set theory notation
 
user19161
@Ethan You can ask here.
 
user19161
4:12 AM
Notation is just notation dude.
 
user19161
I can call a cat a dog and a dog a cat.
 
user19161
@Ethan You can just wait till you enter college to learn stuff though, no hurry.
 
ye I think I should start practicing for the sat, my ocd really slows me down lol
 
user19161
I never practised for my SAT.
 
The english part
 
user19161
4:15 AM
I still got 790/800 for math in the end.
 
I don't like tests
 
I dont like english
 
user19161
Yeah tests are stupid.
 
me neither
 
user19161
Stephen Smale got poor grades in undergrad and even grad school.
 
4:16 AM
whose stephen smale
 
user19161
A Fields medallist.
 
@anon when did you start studying mathematics?
 
user19161
As a baby LOL
 
it is difficult to draw a line between playing and studying
 
what do you mean by playing
 
4:19 AM
it wasn't until I was 13 when I learned calculus from my dad's old textbook, so I'll pin it down there
 
It wasn't till I was 18 when I learned Calculus
 
user19161
Looking at my life, I have not yet started studying math seriously...
 
user19161
My whole life is a mistake...
 
lol no it isnt
 
user19161
I hope I am strong enough to mend it...
 
4:25 AM
how many have you killed?
 
hahahahahha
 
user19161
I have killed a few thousand ants.
 
@anon how hard is it to show $$\lim_{s\to1}\frac{1}{\zeta(s)}\sum_{n=0}^\infty\frac{\ln(an+r)\mu(an+r)}{(an+r‌​)^s}=0$$
 
they had it coming
dunno
 
I know I can express the mobius sum in terms of combinations of $$\frac{L'(s,\chi)}{L(s,\chi)^2}$$
I don't know much about L functions tho
 
user19161
4:26 AM
Anyway @ethan I don't know any number theory, but you seem to be doing lots of limits and I think you really should study analysis first before analytic NT.
 
Im not really studying ant
Im just manipulating series\
 
user19161
OK, but if the series are infinite ones then limits are certainly involved.
 
user19161
For example one can't always change the order of two infinite summations.
 
ye I kind of work liberally with my series lol
 
Ok gotta begin studying
Bye guys
 
user19161
4:28 AM
An integral really is a limit of some kind.
 
4:47 AM
@Sanchez can you help me
 
 
1 hour later…
5:55 AM
What a strange notation:
http://math.stackexchange.com/questions/300940/solving-non-linear-congruence
 
6:13 AM
@awllower what is strange?
 
It has been modified, but it was some equation modulo 0.
I was wondering what it means by dividing by 0...
 
I see. I could not see it in the edits. Must have been done within 5 minutes.
 
Per chance.
I tried to be clear, but I worry that OP cannot understand, as he is new in number-theory.
 
Yes. I think your solution is clear though. You might want to put Chinese Remainder Theorem instead of CRT.
 
All right.
I edit so as to illustrate upon the theorem.
 
6:25 AM
That's good.
 
Haha, it turned out that I was wrong.
 
Eh?
Ohh you got the wrong answer.
 
I am finding where I went wrong.
 
@awllower your factorization went awry?
 
I got x+1 is congruent to 2, hence x to 1
I treated x+1 as x. Apology here...
 
6:29 AM
Yes.
 
Finally.
So embarassing an event.
 
Happens. Happens.
 
@anorton Note that $\frac12(\arctan(e^{-x})+\arctan(e^{x}))=\frac\pi4$.
 
6:52 AM
At least I learn to look more carefully, haha
 
7:11 AM
@MarianoSuárez-Alvarez c'mon that is hazing!
 
@MarianoSuárez-Alvarez we could start The Axiom Clearinghouse...
 
7:32 AM
hello guys
anyone awake?
i need help regarding one math puzzle
 

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