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00:03
Alright.
00:19
@HenningMakholm I can win you the (future) backstabber award.
@JacobBlack Yes, it does not allow me to login :'). Also, I am working on papers.
00:34
@user58512 I tend to get my continued fractions from Wikipedia. :p I'm not sure how to find it, though... (I haven't had any classes that used continued fractions--when I told my current prof about continued fractions, he was a little surprised...)
00:45
Why?
01:28
@user58512 Hey, you here?
If we have THREE numbers
a=4 b=3.2 c=1.95
Their sum is 9.15
Can we find THREE multipliers for those numbers m1,m2,m3 whose sum m1+m2+m3 is equal or smaller by multiplication of a*m1, b*m2 or c*m3
Note: you can't multiplicate a*m3.
How is your head @jonas?
01:44
Anyone?
user19161
@Amzoti Yes, you can steal everything you want, except my heart. =)
@JonasTeuwen Man, the first thing I do when I get near your place is eat in the restaurant you posted pics of. Looks fucking delicious.
If I ever get near you place...
@oldjohn looks like your fb is getting spammed.
@PeterTamaroff hola
Buenas?
@Charlie Did you always have so little rep?
@PeterTamaroff yes, does it bother you?
user19161
02:00
@Charlie No.
user19161
@PeterTamaroff Pedro, I change my name in 19 hours. Can you think of a nice name for me?
Hmm
I'm dumb, that's why
user19161
@Charlie What are you talking about?
@Charlie I don't think we can talk anymore.
@jacob what about Jasper?
user19161
02:02
@Charlie That's why what?
@JacobBlack Wilhelm
user19161
@PeterTamaroff Ah, why is that nice?
@PeterTamaroff mejor
@JacobBlack Because I think it is nice.
@JacobBlack I have low rep,.because I'm dumb, and stupid
02:05
@Charlie Wrong. You can't be both!
@PeterTamaroff but I'm both
@Charlie If you insist.
I only know simple math, like count from 1 to 10
@Charlie But, can you count to POTATO?
No, I onky know positive integers
*only
Good night, everyone.
02:30
Grrr... sometimes, I get really annoyed at the people who try to "game" math.SE to get their homework done. I'm not an "on call" homework-checking service!
@anorton then don't answer the homework questions
I'm about to stop entirely... I've been spending way to much time on math.SE anyway, so I think a month-long hiatus would be good for me.
I can tolerate a lot, but it's when some user looks at my answer, accepts it, unaccepts it, and says "You took a different path than I did to get the answer. If you write out my solution, I'll accept your answer." (I'm the only answer on the question.)
The same user proceeds to post several more questions saying "I'll try this in a minute-- can you guys solve it?"
:\
-1
Q: Computing $\iint \sin(4x^2 +2y^2)\, \mathrm dA$ over an elliptical region

mathlover$$\iint \sin(4x^2 +2y^2)dA,$$ where the region is bounded by ellipse $4x^2 + 2y^2 = \pi$ and the lines $y = 0$ and $y = \sqrt{2}x$. This looks like a change of variables integral. Need some hints. You guys are right. say region is also bounded by first quadrant. Here is what I did: ok you mu...

(In comments and through the edits to the post)
(Now looking at his comment on my answer, it appears he changed its text. Originally, it contained wording very similar to (I paraphrased slightly) my chat message above...)
02:53
0
Q: Volume of bounded region between sphere and a plane

mathloverA solid spherical cap of radius $R$ is the solid delimited by a sphere of radius $R$ and a plane that intersects the sphere. The height $h$ of the solid spherical cap is the largest distance from a point of the solid to the plane intersecting the sphere. Show that the volume of a solid sph...

"Give me a few min to try it out."
;_;
@GeorgeV.Williams Exactly. :\
user19161
03:14
Wow, I have 7 messages on the star wall. This is a miracle!
03:55
You must have believed.
@AlexanderGruber I see you are in exalted neighbourhoods. :-)
By the way, I asked yesterday the topic of your thesis, but I think you had gone away by then. So, if you don't mind, may I know what are you working on?
Ohhh, my undergrad thesis?
i'll show you
04:45
this is a paper by alan parks written the year i was born
the point is to describe M-groups completely group theoretically
so they can be understood by people who don't know character theory
so he defines these things called good pairs, which are subgroups (H,M) with 1 < M < H < G that abide to some certain properties
there is an equivalence relation on the set of good pairs in any group, which can be proved relatively easily using characters
then using that equivalence relation, he can prove all the things he is trying to prove
04:48
but the whole point of the thing was to describe these guys completely using group theory, so it's a little dumb that there's still a part of it that can't be proved without characters
my thesis is a group theoretic proof of the equivalence relation
ah, I see.
nice.
yeah, i think it's pretty neat.
Why do we want a purely group theoretic way of describing them?For example, even though people really wanted a group theoretic way to prove Burnside's theorem, it is much better/nicer/easier to use character theory.
basically just because it's not necessary
characters are kind of overkill for a lot of basic M-group stuff - parks was showing that you can understand the definition easily without any representaiton theory at all
What are M-groups?
04:51
groups for which every irreducible character is induced from a linear character
Haha. Is there hope that they can be phrased without characters?
yeah! parks was successful.
Is it as simple as the character theoretic description?
Yeah haha
I just read it
Why are M-groups useful?
I mean, I guess I see their simplicity in character theory
04:53
i actually have no idea why but they are studied a whole lot
there are some interesting results though, unexpected ones - for example, they have to be solvable
i never would've seen that coming.
Hmm. Interesting.
then for physics my thesis is just a bunch of data analysis algorithms for cherenkov detectors
(basically just using my work from the past few years so that I don't have to do anything new)
 
1 hour later…
06:10
I mean my comment below the answer of Don Antonio.
I cannot understand how can the order of the automorphism group of P be 48.
user19161
06:26
@κρανίοπεριπολία Indeed. I see you have changed your name. I know not how to call you now.
@κρανίοπεριπολία
What happened to skullpatrol??
What have you done to him??
Oh
This is Greek skull patrol!
I see!
It must be that you have traveled to Greek, and thus changed the name accordingly, right?
@awllower what is your profile picture
06:42
@Ethan It is a definition of zëta function on an elliptic curve.
Also it could imply the class-number formula for imaginary quadratic number fields.
lol, lost me at elliptic curve
So i thought it would be wonderful to use that as apicture. :)
Oh
is E a character?
$E$ means an elliptic curve in fact...
lol
06:44
You can view it as a formal group law, if this makes you more comfortable. :D
so its not an L function?
it is still L-function, with certain changes.
BTW, I am only a beginner in this field, so sorry I cannot provide a detailed and simultaneously intructive and inspiring explanation.
I am recently bothered by group actions...
I forgot a number of clever tricks now.
<-- Poor memory...
@awllower Have you ever used Sage or Pari?
Unfortunately I have never.
Ah, ok. Oh well haha
06:51
In my country, they are not very ubiquitous...
What is your country?
In fact I know what they are quite recently, haha
Taiwan, an island near china
I know what Taiwan is haha
Interesting. You're into number theory I see?
06:53
I hope. :)
Haha, I guess that's as honest of an answer as one could hope for.
But the truth is: there are still much more to be learned, so that I cannot be said to start the journey. :(
Yeah, I know the feeling. What are you learning about right now?
CFT, ellptic curves(again), and some other things such as cohomology, or Galois descent.
A ha! Very interesting!
06:55
and do not forget about the representations :D
Never forget those haha
What books are you using for those courses?
well
I am learning by DIY, so no courses at all.
And mostly I just look around, searching for some interesting books. :D
Haha, that's fair enough.
07:06
For CFT, personally I recommend Jürgen Neukirch!
Neukirch for everything haha
haha
cohomology: per chance Eilenberg will be good enough.
Have you tried Milne/
representations: Serre or IMartinIssacs
yes
07:07
I tried once, but failed to fall in love with, :D
That's fair enough I guess. It's hard to beat Neukirch honestly.
His approach is just so modern and clean
it's perfect
And one concludes by one sentence: all is in group theory. :P
Sure haha.
Also, recently I found the book by Emil.Artin and John.Tate
Artin and Tate is not bad
07:09
amazing! is what I felt.
if you're looking for something slightly easier--some bedside reading--Nancy Childress's book is good
in particular, I went to that book because many people recommend that one when doing explicit computations.
Oh
Sadly my university did not possess the book...
Hey, I found PDF!!
I shall spend some time o it. Thanks for the recommendation!
Haha, no problem
Judgeing from the content, it starts by global case, thus proceeding to local one? Interesting!
Yeah. In fact, it really does local kind of half-ass at the end. It's very much more in the spirit of the original development of CFT
07:23
I see. Good to find a book!
07:36
I am wondering: why a group of order $9$ cannot have automorphisms of order=5 or 7?
Well
there is a
way to see it but its a little crass
your G is either Z_9 or Z_3^2
the automorphism groups of each are
have orders
6 and (3^2-1)(3^2-3) respectively
neither of which are divisible by 5 or 7
I have no question about the first: Z_9 case.
But how about the latter?
How to comute Aut(Z_3^2)?
You can interpret Aut_{grp}(Z_3^2) as Aut_{Z_3}(Z_3^2), and so you're looking at GL_2(Z/3) which you can just compute to have order (3^2-1)(3^2-3)
Is it related to matrix groups?
07:41
haha
so it works like that...
Thanks a lot!
Haha, no problem. There may be a more elegant way--but you can just hack it that way.
indeed: it is quite good also.
Thanks ;)
In what context did that come up?
Ah, I see. Makes sense haha
I have not yet been able to find a way to solve it which does not use the above-mentioned fact...
:)
I think that fact is pretty important. You want to prove there doesn't exist a non-trivial semidirect product, which basically is equivalent to showing that Hom(H,Aut(N)) is trivial. The easiest way to show that Hom(H,Aut(N)) is trivial is to show that Aut(N) and H have incomensurable orders so that you can't have a non-trivial map H--->Aut(N).
Indeed: so it stems from a cohomological property in fact?
Oh: if interpreted this way, I think I can understand why Andreas Caranti wrote his answer that way now!
The vanishing of H^2? Yeah, it's Schur-Zassenhaus. You have the extension $1\to N\to G\to H\to 1$ where $N$ is order $21$ and $H$ is of order $9$. But, Schur-Zassenhaus says then that H^2 vanishes so the sequence splits
07:53
Good!
It breaks the mists!
Haha, I'm glad I could be a mist breaker
Congrats: you have earned the badge: mist-breaker!
:D
Oh great--now my parents are going to want to hang that up on the fridge.
haha
@AlexanderGruber I wonder if there is any more clever way to deduce this fact.
@awllower Ever studied modular forms?
08:10
Studied a little as well.
@awllower Do you mind if I ask you a question about intuition?
intuition about modular forms?
@awllower You know what, I'm going to ask this question on the main forum. I'll link you to it when I post it.
Alright.
Looking forward then.
@AlexYoucis Well
I have to depart now. Maybe you can tag me and link the question, or you can just e-mail me!
[email protected]
Thanks in any case in advance for the attention!
Nice to talk with you!
see ya!
08:22
Later everyone.
08:41
I am of the opinion that $\lim_{n\to \infty } \, \frac{(n-1) \mu (n-1)}{\mu (n)} = 0$,where $\mu$ is the Moebius function in number theory.
We need a latex parser for the chatroom.
We already have one.
robjohn has put latex parser links here:
http://www.math.ucla.edu/~robjohn/math/mathjax.html
@awllower Here is the link to the question I asked

http://math.stackexchange.com/questions/325364/intuition-for-the-importance-of-modular-forms
@MatsGranvik Do you have to drag and drop that javascript every time you start a new chat?
No you drag and drop them once. And then in Internet Explorer you need to click them in the favourites for every new session. But I don't remember exactly how I got them moved to the favourites section.
Also I don't know if they need to be clicked for every new session.
delayed render is what works in my browser.
09:04
If in a ring a.b=0 for all a in ring, then can we say that b=0.
@AlexYoucis you save the javascript as a bookmark, and click on it everytime you manually refresh/visit this chat page.
for new changes from the server side, it does an automatic refresh.
@JayeshBadwaik How does one save the javascript as a bookmark?
@RaviUpadhyay No. Take $a=b=p$ in Z/p^2Z
@RaviUpadhyay Ah, I missed your "for all". The answer is still no, but I need a minute to remember the example.
On robjohn's page, you can right click on the link and save it as a bookmark.
Basically, bookmarks have two fields
1. Name
2. Location

The javascript is the location and name can be anything you like.
If you have some kind of bookmark bar, then you can drag and drop the link in the bar.
@JayeshBadwaik Thank you! I hate to be "that guy", but I have a mac, and can't just right-click and save as a bookmark. Do you know how it works on a mac?
09:12
@AlexYoucis How do you save other bookmarks? There should be no difference between them and this.
right click on bookmark toolbar, give it any name, and then in location copy paste the javascript.
*right click on bookmark toolbar and create a new bookmark
@RaviUpadhyay Duude, there is no right click in his mac. ;-)
@RaviUpadhyay Does this work
we clearly need the ring to be non-unital
yeah?
09:17
Ok, so let $A=\begin{pmatrix}0 &1\\ 0 & 0\end{pmatrix}$. Let $R$ be the ring $\{p(A):p\in \mathbb{R}[x], \deg(p(x))>0\}$
@RaviUpadhyay you cannot visit the javascript as a site, and that creates problems I suppose.
So you take the set of elements of the form c_nA^n+...+c_1A
note then that since A^2=0
A annihilates everything in this ring
@RaviUpadhyay Yeah?
@AlexYoucis I guess the best way is to open your bookmark manager, and try to add a custom bookmark and then enter the javascript as a location. (I have never used a mac, but I think this should be possible atleast.)
is there any zero element in the ring?
@RaviUpadhyay Yeah. So basically $R$ is the ring of matrices of the form $c_n A^n+...+c_1 A$, where all the $c_i$ could be zero.
09:24
@AlexYoucis but what is the zero element in your ring? All the elements in the ring are of degree > 0.
0 is degree infinity
@RaviUpadhyay
@AlexYoucis i
@RaviUpadhyay Yes, my friend?
've just begun Rings. Sorry but I am having trouble understanding which is the 0 element of the ring.
Here are some leements of the ring
3A_5A^3
sorry
3A+5A^3
-26A^2+A^7
4A^2+8A^8+88A^10
0A+0A^2=0
09:39
but degree is defined as the largest integer i for which the ith coefficient is not 0, and if the polynomial is constant we regard it as 0 degree.
so wouldn't that make the degree of 0A+0A^2 0, rather than infinity.
@RaviUpadhyay You're fixating on a minor concept. The zero polynomial is defined to be degree infinity--there is NO power of $A$ with non-zero ceofficients.
@AlexYoucis
no
If the coefficient of that poly was zero
that would mean the coefficient of A^0 was nonzero
which it isn't
its infinite degree
@RaviUpadhyay
ok, thanks. got it.
no problem man
09:44
@AlexYoucis Isn't a zero polynomial said to be of degree -1 in general?
No. Infinite degree.
The degree of a polynomial is the highest degree of its terms, when the polynomial is expressed in canonical form (i.e. as a linear combination of monomials). The degree of a term is the sum of the exponents of the variables that appear in it. The word degree is now standard, but in some older books, the word order may be used instead. For example, the polynomial 7x^2y^3 + 4x - 9 has three terms. (Notice, this polynomial can also be expressed as 7x^2y^3 + 4x^1y^0 - 9x^0y^0.) The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last te...
here it says -infy
Haha, jesus guys.
we define deg(p) to be inf{n:a_n\ne 0\}
In mathematics, the infimum (plural infima) of a subset S of a partially ordered set T is the greatest element of T that is less than or equal to all elements of S. Consequently the term greatest lower bound (abbreviated as glb or GLB) is also commonly used. Infima of real numbers are a common special case that is especially important in analysis. However, the general definition remains valid in the more abstract setting of order theory where arbitrary partially ordered sets are considered. If the infimum exists, it is unique. If S contains a least element, then that element is the inf...
infimum of empty set is infinity
ohh, sorry.
infinity it is. seconded :)
09:47
@Ethereal what?
Yes. its not big deal I agree.
How does this make an assumption that if $p|a^m$ then $p|a$?
@κρα Math symbols much?
on the contrary assume p does not divide a.
@AlexYoucis What what?
@Ethereal what?
09:51
@RaviUpadhyay Can you explain further?
@Ethereal use prime factorization of a.
since p doesn't divde a, it won't occur in p.f. of a.
hence it won't occur in p.f. of a^m
thus if p|a^m => p divides some other prime number other than itself
wait, let me think.
morning guys :-)
good afternoon.
Ah, all right.
09:54
if I have a triangle and a circle in 3D how can I determine the points in which they intersect?
I thought earlier what you were thinking, but I was in doubt.
* I have the coordinates of the triangle and the equation of the circle
user19161
My favourite colour is now black.
I see ;)
user19161
Zev is blue, Julien is red, and I am black, QED.
10:10
I was once black too, but then I decided to transform to much much cooler avatar, i.e trunks from dbz.
Why do I sound like Michael jackson :p
I run the "start chatjax" bookmarklet, from here , nothing happens , and error reported in the console is Uncaught ReferenceError: MathJax is not defined , though it was running like a charm few minutes ago. weird
Runs alright for me as of now. May be mathjax site is unaccessible from your place?
@JayeshBadwaik I am able to open Mathjax.org
Ahaa, then there must be some other error.
I think its the firewall, yes thats it.
what had you firewalled?
all non-approved javascripts?
10:25
Its my college firewall, and it blocks a lot of stuff. Its stupid as shit
proxytunnel is a good tool to keep all firewall headaches away.
Checkin it out
@libjup how would it be any different from 2D? That's what you should ask yourself
For windows I think proxifier is more popular, I am not sure.
@RustynYazdanpour Hi. I saw your question on meta "Academic Integrity" and I was not completely sure what you were getting at. I think that the main points of your worries were the following two:

1. Answers on different levels of expertise which may or may not benefit the reader.
2. Automatically providing answers to any questions which may help students cheat in their courses.

Is that correct?
@JayeshBadwaik 2. is my biggest concern
uhh but no.
I'm more concerned with the act of compulsive answering, (I'm no longer concerned with cheating)
Giving a full answer can hinder the learning process and create dependency cycles.
@JayeshBadwaik The student needs to develop their own rapport with mathematics, and that won't happen if he or she doesn't discover things. Logical leaps are what brings them closer to trusting their own faculties. They need to experience continual success attributed to their own efforts. By providing a full answer to a low quality question, (or demand), we perpetuate a dependency cycle. This action isn't fostering academic independence.
@JayeshBadwaik In that spirit, I should probably rename the question.
10:42
@AlexYoucis I see the question. But sorry I cannot help you: I am not familiar enough with such geometric notions as the line bundles, tangent bundles, and cotangent bundles. But I see what you are asking in general. Again I cannot help you, for I am only a beginner...Sorry again. :P
Okay, that is good. Because, personally I feel, fighting a battle against cheating by holding back answers is a completely losing proposition and will create more harm than help.

About providing full answers, I agree completely with you. Simple, short questions should be given only hints. The response of the answerer should be proportional to the response of the poster (especially for very basic questions).

I am also thinking of "hiding" answers by default and then showing them by drop-down arrow, in case the student wants to see a particular answer. In this way, a student willing to exer
@JayeshBadwaik I just renamed the question: 'Curtailing a student's potential'
@JayeshBadwaik Unfortunately now it's no longer on the community bulletin board :(
@RustynYazdanpour It will come back soon enough I guess. :-)
11:08
@JayeshBadwaik I have made some edits to the main post and I was wondering if you would feel inclined to read them.
11:18
@RustynYazdanpour I am reading. As I said, I am much in support of your effort. I am not sure how to act upon it though. One method which I think might work is a guideline of posting a complete answer only 1-2 days after the question has been posted. This delay might be enough in generating requisite effort on the part of the student.
Till the period, people should only comment on the answer. However, knowing of the answering dynamics among the users, this effort is bound to fail in a way similar to prisoner's dilemma in case the requirement is unofficial.
(People will answer a little early in order to gain reputation before other people and slowly the margin would corrode away.)
Homework tag is somewhat ill-defined. For example, some of my questions are (homework) category, but since I am currently self-studying, I am not sure I want to put a (homework) tag in the questions.
which essentially boils down to robjohn's suggestion somewhere on the site.
The suggestion is bound to fail due to prisoner's dilemma. The only hope is to design something that takes into account the factor.
@JayeshBadwaik I'm not suggesting a resolution to this problem. I realize we can't have uniformity in dealing with these issues. What I'm proposing is we embellish our about statement. I think we should have a different expectation in regard to dealing with questions from students, although I do not posit that we need any sort of uniform practice in dealing with these issues.
@JayeshBadwaik In regards to resolving the issue, 5pm gives the only plausible solution.
11:39
Yes, I understand that. But I think I might have some ideas to make the situation better without forcing people to do something or the other. Let me see if I can get some aspects of it correctly. I might post this on meta in some time.
@JayeshBadwaik I would appreciate your participation. The thread is not edited in full.
now*
12:18
@JayeshBadwaik: I think you are also a member of TeX.SX. If you don't mind, you can participate in meta.tex.stackexchange.com/questions/1564/tex-community-polls/….
@GarbageCollector Ahh yes. Thanks.
@JayeshBadwaik OK. Thanks for participating. :-)
@GarbageCollector How do I select my country? By upvoting the comment?
@JayeshBadwaik Yes. By upvoting the comment.
12:34
@RustynYazdanpour Perhaps your question should be tagged now that you added that it is about bearing the tag
user19161
@GarbageCollector Hey W.
user19161
@GarbageCollector I have deleted all my accounts except math.
@JacobBlack Oh my ghost!
user19161
@GarbageCollector LOL
12:43
hello
user19161
I have done 400 edits, so 100 more to get copy editor badge...
user19161
@κρανίοπεριπολία What does your new name mean?
The same as my old name.
user19161
12:52
These days I get very few votes for most answers, then suddenly many votes for an answer on a hot question.
Hi @GarbageCollector How are you?
@κρανίοπεριπολία Hi, I am almost fine everyday. :D And how are you?
Fine thanks. @GarbageCollector
:D
13:27
hi guys
if someone asks "how many meters of the triangle are outside the sphere?" what does he mean by that then?
user19161
13:50
@libjup It is not clear what he means without more context.
@JacobBlack there is a sphere and a triangle which intersect in two points. and now the question is "how many meters of the triangle are outside the sphere?". I don't get that question... I mean meters?! which distance?
@κρανίοπεριπολία Hiiiii!
user19161
@libjup Would be better if one can see the diagram.
true but I only got thet text info.with the help of SO math.stackexchange.com/questions/325411/… I was able to solve the intersection points
user19161
@libjup Probably means the part of the triangle outside the sphere. Triangle has 3 lines.
13:55
you mean from the triangle to the surface of the sphere?
user19161
Yeah the two line segments outside the sphere.
user19161
But I don't see that question on your link.
@jacob we're both black

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