« first day (1477 days earlier)      last day (3527 days later) » 

12:32 AM
Hi @robjohn how are you?
 
@skullpatrol pretty good... trying to figure out why I am getting a different answer than others for a particular sum
 
icic :-)
 
Found it! :-)
I forgot a factor of 1/2 at one point that got squared to 1/4 and then caused a problem much further down.
 
Grrrreat!
:D
 
12:56 AM
Huh! Managed to prove the upper-tail Chernoff bound I was looking for myself!
Now just need to prove the lower-tail one..
Basically have to find some $x$ that will hold $e^{-x(np-a)}*(pe^x+1-p)^n=e^{\frac{-a^2}{2np}}$, I believe it's probably some $ln(x)$ where $x<1$ and thus it's equivalent to finding $e^{\frac{(1-x)(np-a)}{x}}*(px+1-p)^n=e^\frac{-a^2/2np}$
Which doesn't make it any easier..
 
1:22 AM
Off topic: I have to pass 2 out of three quals, and I need some advice. I am very confident I can pass 2 of the three but algebra is not my strong point. Is it a better strategy to (1) Focus way more on two of the three or (2) Give all three exams an equal amount of effort?
 
2:04 AM
@Studentmath: Glad to see you're still safe and sound!
 
2:18 AM
@TedShifrin Hi
@robjohn How you doing Rob?
@skullpatrol Where on earth are you man?
 
@MrWho doing fine, how about you?
 
@robjohn Well, nervous, I made payment for the freshman year today.
 
@MrWho that means you start soon?
 
@robjohn Unfortunately, I have to take some irrelevant ( general courses ) like US politics and stuff too. Yeah, 25 Aug
 
@MrWho I was lucky enough not to have to take those classes. I guess AP or grades or something got me out.
@MrWho Good luck!
 
2:23 AM
@robjohn They don't accept anything here.Oh, thanks.I was about to take Calculus I and II simultaneously but I have financial issue so I dropped the course and found one with less credit hour(general lesson)
 
@MrWho where is here? If you don't mind saying...
 
@robjohn University
 
@MrWho guessed that, but okay.
 
@robjohn I don't want to say it in public channel.If you have mail or something, I will.
 
@MrWho No, that's okay. Is is a local school, or are you going out of state?
 
2:26 AM
@robjohn I'm already international, so , out of state.
 
@MrWho Ah, so you're already out of your home country...
 
@robjohn Unfortunately, yeah.
 
@MrWho So you're already in the area of your school. Are you in dorms or living off campus?
 
@robjohn Off-campus, in fact, on-campus is for the wealthy groups !
 
@MrWho Ah, that can be the case, depending on the school.
 
2:30 AM
@robjohn Being off-campus is bad, because you can't go to school easily, more importantly, you can't connect to people and find last-longing friends.At least, for a shy guy like me, it is the case.
 
@MrWho That's not necessarily true. It is easier in dorms, but you can still make friends living off-campus.
 
@robjohn I am kind of new to the university, just don't know what I'm about to do.I seriously rely on the Ebooks rather than paper books because of their noticeable cost.
 
@MrWho books are a major cost in college. Do you have loans or are parents helping?
 
@robjohn Parents, I can get loans, but it's like trap, however, money is the main issue.
@robjohn I tried to get funds, but there is no available opportunity right now!
 
@MrWho it's too bad that money affects people's education, but university employees need to live, too.
 
2:36 AM
@robjohn Yeah, it seriously sucks, sad to say, I pay double of the price given to residence people because of being international, also I can't work more than 20 hours.No job available is the other thing, even if there is, it's not affordable because of transportation.
 
@MrWho once you're there for a while, I bet you can find public transportation to a lot of places where you might work
 
@robjohn I already use bus to go to school !
 
@MrWho So you're far away from campus, not just a walking distance.
 
@robjohn Yeah, it's hard, but I get used to it.
 
2:58 AM
@robjohn Do you know the way to prepare oneself for a math competition like putnam?
 
3:58 AM
@robjohn Here I come. It's so quiet.
@robjohn I think some professors are overpaid, considering that they only care about research and not about teaching.
@MrWho Are there past year papers for you to practise?
 
4:17 AM
@MrWho I don't know there is any "way" to do it. What works for one person may not work for another. Learning as many tricks and practicing as much as you can, I guess.
@JasperLoy It is not the professors' fault. Universities want people who publish rather than people who teach. They get new students by having a better profile and the profiles are helped by publishing more than teaching.
 
 
2 hours later…
5:49 AM
This chat is dead.
 
6:19 AM
@JasperLoy Long live the chat!
 
6:45 AM
@robjohn I think in Slovakia more money are given based on how many students university has than based on the "scientometrics".
However they change the criteria quite often and I don't really do not know details.
And still, universities/faculties need their people to publish. Publications are judged when accreditation is done. (I am not sure whether is correct English word.) Without scientific output, school might lose university status.
 
user97303
7:05 AM
oh hey Jasper Loy
 
user97303
@JasperLoy
 
Greetings
My way of approaching some integrals is about to be totally changed. Some great ideas came to my mind these days.
 
7:25 AM
OK, here is one example of such an integral $$\int_0^1 \frac{\log(x) \log(1+x)}{1+x} \ dx$$
The point is to do it without toching the polylogarithm.
The same thing to $$\int_0^1 \frac{\log(x) \log(1+x)}{1-x} \ dx$$
We don't even need to use Euler sums.
 
8:15 AM
@chell Oh hi, long time no see.
I am thinking of changing my reading list next year to Lang's books.
Serge Lang's "Introduction to linear algebra", "Linear algebra", "Undergraduate algebra", "Algebra", "A first course in calculus", "Calculus of several variables", "Undergraduate analysis", "Complex analysis" and "Real and functional analysis" will cover the GRE, algebra quals and analysis quals syllabus.
 
user97303
@JasperLoy
 
user97303
how've you been?
 
user97303
I might be transferring into combinatorics
 
user97303
finally
 
user97303
also I'm thinking of writing the putnam this year
 
user97303
8:27 AM
it's just to challenge myself and I really enjoy math contest-y things
 
8:44 AM
@Chris'ssis Hey Chris. What's the polylogarithm? :)
 
Thx
 
@robjohn What I proposed above is completely revolutionary. It leads us to a new way of evaluating $$\int_0^1 \frac{\log^2(1+x)}{x} \ dx$$
brb, I need to buy some food for pets.
 
@chell You mean you are changing your major to math?
 
Any tips here?
 
user97303
8:58 AM
pipette tips
 
user97303
sorry, that's what came to mind
 
@chell Putnam is hard. I would never take part in any competitions myself!
 
user97303
@Ja
 
user97303
@JasperLoy it seems really fun
 
@chell Your typing is really bad, lol.
 
user97303
8:59 AM
but probably a total morale killer though
 
Are you on a mobile?
 
user97303
sorry, I was used to tabbing to autocomplete for IRC
 
I am pretty much the same, trying to get better.
 
Sap ?
 
Will start studying math next year and take the GRE next next year.
 
user97303
8:59 AM
have you applied for grad school?
 
user97303
oh nice :D
 
user97303
congrats
 
Hopefully I enter next next next year, lol.
 
user97303
good luck
 
I changed my email, it is now on my profile.
 
user97303
9:00 AM
oh I heard
 
user97303
I haven't had a chance to reply, I've been so busy with school
 
user97303
now is the first break I've had
 
user97303
and I'm trying to solve some math puzzles
 
I changed my email several times the last few months, but the current one is jasperloy at outlook dot com.
 
user97303
ahh okay
 
9:01 AM
I won't change it again, I promise.
 
user97303
alright
 
I also promise not to delete my SE accounts again, lol.
 
user97303
hey, do you want to help me solve a math puzzle?
 
Erm, I don't think I can. I only know high school math now, lol.
 
user97303
well, I'm not getting anywhere, so any kind of insight would be good
 
9:03 AM
Are you still planning to come to my country?
 
user97303
suppose you have a square matrix, A, with real entries. Is it possible to find 2 diagonal matrices C and B with -1 or 1 on the diagonal, such that for M = BAC, the sum of each row and column of M is non negative
 
user97303
probably not soon, I've got to get my bmath first
 
Sorry, I don't wanna think about math problems now.
 
user97303
ahh alright
 
@chell Is that what you call it, B Math?
 
user97303
9:04 AM
well, I think it's a bachelor's of math
 
user97303
so, bmath for short?
 
OK.
Some places call it a BA, some BS.
 
user97303
ah
 
A for arts and S for science
 
user97303
BA, is that arts?
 
user97303
9:05 AM
math is not really like arts
 
user97303
that's weird
 
I have never heard of B Math, lol.
 
user97303
oh
 
However, I have heard of M Math.
Anyway the name does not matter
 
user97303
yes
 
user97303
9:06 AM
I'm working on a problem set of all combinatorial puzzle like problems
 
So when do you finish your Bachelors?
 
user97303
there's no nearly enough problem solving in the math curriculum
 
user97303
I don't even know, my engineering degree is supposed to finish in 2016
 
user97303
but if I transfer now, I'd be looking at 2017 at the latest
 
Oh OK, so you are doubling?
 
user97303
9:07 AM
*earliest
 
Oh OK, transfer
 
user97303
I wanted to double major, but engineering is really not holding my interest
 
user97303
and the kind of math I want to do have nothing to do with what I'm learning in school
 
2017 is probably when I will enter grad school, so we may meet in the same class, lol.
 
user97303
heh, that would be good
 
9:08 AM
Or maybe I will never get well, then I will die a miserable death
 
user97303
hopefully I'll be done then so I can attend the more interesting grad math courses
 
user97303
nah, you'll be amazing
 
Shouldn't you be sleeping now?
 
user97303
yes
 
user97303
but I'm way too excited about these puzzles
 
It's really hot here now, sweating even with aircon
 
user97303
oh I wish I had your problem
 
user97303
I'm using a heater and wrapped in a thick blanket
 
I wish I were in your country, lol
I hate this place
 
user97303
nah, the winter gets me depressed
 
user97303
9:11 AM
we should switch lives
 
The people here make me depressed.
 
user97303
heh, here too
 
user97303
 
@chell Will you need to take GRE too?
 
user97303
hopefully
 
user97303
9:16 AM
I'd really want to go to the US
 
user97303
for grad school
 
You should check out the GRE syllabus now.
 
user97303
oh I did
 
user97303
I looked at math and physics
 
Nobody would know all the topics, but we try to cover most of them
 
user97303
9:17 AM
I got something like 58th percentile for math and something atrociously bad for physics, like 16th percentile
 
user97303
wanna study for it together?
 
Hmm, I have my own plans for studying next year, which may not suit you.
 
user97303
oh
 
My plans may change, but currently I am trying to read these 9 books:
 
user97303
well, I'm not planning to really study for it until at least next year
 
9:18 AM
1 hour ago, by Jasper Loy
Serge Lang's "Introduction to linear algebra", "Linear algebra", "Undergraduate algebra", "Algebra", "A first course in calculus", "Calculus of several variables", "Undergraduate analysis", "Complex analysis" and "Real and functional analysis" will cover the GRE, algebra quals and analysis quals syllabus.
 
user97303
oh neat
 
user97303
you're really into algebra eh?
 
It won't cover the geometry/topology quals though, but we can worry about that later.
Quals here mean PhD qualifying exams.
The beauty is that it's only one author!
 
user97303
I've stolen a copy of Friedberg Ingel and Spence, but all the other lin alg texts I've encountered weren't very good
 
user97303
ah
 
9:20 AM
@chell That is a good book.
 
user97303
yeah, I plan to work through it now and in the fall
 
@chell You know that many books are at en.bookfi.org ?
 
user97303
yep, but reading on anything other than actual paper is distracting
 
user97303
especially because I know entertainment is a click away
 
OK, the 9 books are cheaply available in hardcover from amazon.com
 
user97303
9:22 AM
heh, I'll just see if my school has it
 
user97303
chances are they would
 
Springer books are cheaper than say Wiley, lol.
I wanted to write to Wiley to complain about their expensive prices.
 
user97303
heh
 
user97303
or just torrent them
 
user97303
hmm my cd is skipping
 
9:24 AM
It must be a pirated cd, lol.
 
user97303
hah, you know it
 
user97303
the only way my parents could afford to any cds at all in the 90s
 
This Sat is my birthday, I will be 33! Soooo oooold
 
user97303
happy birthday!
 
9:26 AM
You are still young, so good for you
 
@BalarkaSen such boring, little anything, wow
 
@N3buchadnezzar No meat, no pudding.
 
@N3buchadnezzar at least it's somewhat logical, botany. the other parts of biology are just remembering.
ugh
 
@BalarkaSen uuuuuuugh
 
@BalarkaSen You only need a good memory to be a doctor, but you need real intelligence to be a mathematician.
 
9:31 AM
exactly.
 
I should be starred.
 
does it worth a star? i thought everyone knew it.
 
What, no stars?
 
What you said is not exactly brain surgery
 
It is rocket science, however, lol.
 
9:33 AM
You have seen that sketch?
 
No.
 
I am leaving this chat now, goodnight @chell remember my new email!
 
user97303
night @JasperLoy
 
Let a function from the set $\{ f \in C^1 (\mathbb{R},\mathbb{R}) \ ; \ f(0) = 0 \}$
 
9:42 AM
Heya @Alyosha
 
user97303
like $a_n = a_{n-1} + 2*a_{n-2}$
 
Recurrence relation
 
user97303
thank you
 
@N3buchadnezzar I was under the impression that $a_n = \pi^{a_{n-1}}$ is also called a recurrence relation, even though the algebraic dependency is not satisfied in this case.
 
user97303
9:58 AM
I think it is, any time you recursively define a sequence with respect to some function it's apparently a recurrence relation
 
user97303
I only care about the algebraic ones which is why I said that, in case there's some other term for non-algebraic ones
 
I don't know of any name then. Call it algebraic recurrence relation, perhaps?
 
user97303
linear, homogeneous recurrence relation with constant coefficients
 
user97303
according to wikipedia
 
you said algebraically dependent.
 
user97303
10:00 AM
and huzzah, I remembered how to solve these fat cats
 
@chell so you don't care about, say, $a_n = \sqrt{1 + a_{n-1}}$?
 
user97303
I prolly didn't use the right term
 
user97303
what I meant was the way the next term is generated all you have are adding and multiplying previous terms and constants
 
user97303
I don't actually know what algebraic dependence means
 
user97303
@BalarkaSen no, not particularly. I was trying to remember what it was called so I can google how it actually works
 
10:04 AM
so you meant linear dependence instead of algebraic dependence.
 
user97303
like, please don't pick on me, I barely know any math, I'm just solving these for fun and I came here to ask if someone knew what it was called because googling "a_n = a_n-1..." is silly
 
user97303
sure, I don't know what the difference is and I'm prolly not gonna learn it
 
I was merely pointing out that the use different terms leads to different answers to your question.
 
user97303
I'm sorry I asked, I don't actually know what it's called
 
10:27 AM
@DanielFischer can I have another hint please, this is driving me mad!
 
@Khallil G'morning!
 
Good afternoon, @BalarkaSen! ^_^ It should be about 15:36 where you are, right?
 
Right. What is it there?
In fact it's 15:57 here now that I peeked at the clock.
 
Is there an easy series expansion of $$\log(-1+e^{\frac{1}{n+1}})$$?
 
10:46 AM
@BalarkaSen Over here, it's now 11:46. ^_^
 
I'm yawning here ... (preparing to attend something crazy hard)
 
What will you do?
 
@rehband Have you tried to find the $n^{th}$ term of the expansion by successively differentiating your original expression?
 
$$\int_0^1 \int_0^1 \int_0^1 \left \{ \left(\frac{x}{y}\right)^2\right\} \left \{\left(\frac{y}{z}\right)^2\right\} \left \{\left(\frac{z}{x}\right)^2\right\} \ dx \ dy \ dz$$
 

« first day (1477 days earlier)      last day (3527 days later) »