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12:01 AM
I don't like competing about explanation. Hopefully the other user be able to help.
 
I need to calculate the hcf(11+7i, 18-i). I got the answer 1.
 
@MikeMiller Good point. It turns out it was a stupid case of misreading some notation due to wrong expectations
 
I'm not sure if this is correct though
Would someone be able to tell me if this is the case.
 
@MikeMiller As I expected, it was not a problem of mathematics, but rather of reading properly
 
I found that $11+7i=(1-4i)(1+2i)(1+i)$ and $18-i=(-1+2i)^2(-2+3i)$ are possible prime factorisations in $\mathbb{Z}[i]$
 
12:12 AM
Sure. I think those are still acceptable on the site, @Danu. I've posted similar things in the past.
 
@MikeMiller Fair enough. Nice poem, btw
I've been meaning to read some French---Grothendieck's memoirs, in fact!
...wondering how fast I'll lose track of what he's talking about
 
But I'm not sure whether there is some alternative factorisation where the $(-1+2i)$ and $(1+2i)$ coincide.
 
@MikeMiller Thanks!
 
user129943
12:23 AM
Hi
 
@I'mGettingThere Did you have a different username?
 
Actually, must the hcf of two gaussian integers be a factor of the hcf of the norms of those Gaussian integers?
 
user129943
@ABeautifulMind no
 
In which case I would only need to check whether any of $(1+2i), (1-2i), (2+i)$ and $(2-i)$ divide both $(18-i)$ and $(11+7i)$?
 
@DanielFischer I have to describe the operation of the processure "RADIX SORT" at the following list of words:

COW, DOG, SEA, RUG, ROW, MOB, BOX, TAB, BAR, EAR, TAR, DIG, BIG, TEA, NOW, FOX

When I want to show the work of the algorithm RADIX SORT do I have to sort the letters by comparing them or do I have to show also the work of COUNTING SORT ??
Hello @user1787331 !! I have to describe the operation of the processure "RADIX SORT" at the following list of words:

COW, DOG, SEA, RUG, ROW, MOB, BOX, TAB, BAR, EAR, TAR, DIG, BIG, TEA, NOW, FOX

When I want to show the work of the algorithm RADIX SORT do I have to sort the letters by comparing them or do I have to show also the work of COUNTING SORT ??
 
user129943
12:38 AM
@MaryStar you really need to get ... like go to a library and get a computer science book
 
Why?? I just want to know if I have to write analytically the work of Counting Sort. @I'mGettingThere
 
This is not really a computer science chat, now is it?
 
Maths and CS are indissolubly linked... @Danu
 
I disagree. In fact, they are separated on Stack Exchange, so this is not the right place for you to ask---sorry.
 
@MaryStar Did you post this on the main site? Better to ask there than ping random people in chat.
 
12:53 AM
I asked it on the main site but I didn't get a clear answer... @ABeautifulMind
 
@MaryStar Oh, lol.
 
@ABeautifulMind lol
 
Hello @ᴇʏᴇs I hope my miracle comes soon.
 
@ABeautifulMind Very soon
 
user129943
@Danu I wouldn't go that far. Algorithms are a part of mathematics. There is some overlap
 
user129943
1:01 AM
What I meant is Mary asks A LOT of not very advanced questions
 
She is a star, like me.
 
=D @ABeautifulMind
 
@MaryStar Did you watch my movie, A Beautiful Mind? You should.
 
@I'mGettingThere Yeah, sure
 
No, I haven't watched it... @ABeautifulMind
 
1:16 AM
@ᴇʏᴇs thanks, although I have to do well in the next two tests to get in the team that goes to Bulgaria.
@evinda thanks, although I have to do well in the next two tests to get into the team that goes to Bulgaria
 
Good luck @TheEmperorofIceCream
You can do it
 
1:34 AM
@Mike are you there?(and can you help me for a sec pls ;) <3)
 
;)
 
I can try
 
@MikeMiller Do you know how symmetric matrices are represented in terms of linear operators?
 
like what you can say about such a thing without picking a basis?
 
-2
Q: AT LEAST ONCE CALCULATOR, Is This Calculator Accurate?

NoFreeWill"MY FIRST JAVASCRIPT PROGRAM PLEASE GO EASY ON ME LOL", "AND I'M A STATISTICS BEGINNER" find the calculator in question at, http://js.do/NOFREEWILL/atleastonce and the code I am using for this is...... function calculate_this() { var input = document.getElementById('numbers').value; var ...

lol
 
1:38 AM
@MikeMiller I suppose I want to know what a symmetric matrix means in terms of linear operators, like for example: Semi simple in terms of linear operators means that we have a basis of e-vectors, and in terms of matrices it means that some matrix A is diagonalisable
 
I don't know that I have a satisfying answer, and I'd have to think about it a bit
Unfortunately I'm a bit busy right now so hopefully someone else can say something interesting? (I think this might be a good question on main if you flesh out a bit more by what you mean 'in terms of linear operators')
 
@MikeMiller Yeah I would have to think about it. I'll tell you if I work it out
(If you are interested)
 
Please do
 
Hi @mike @com.
 
@ABeautifulMind How are you?
 
1:42 AM
Hi and bye
 
@Committingtoachallenge Not too good. I will be seeing the doctor next week to get some meds.
 
@ABeautifulMind That may be a good thing though right?
Why did you say you were in the military(or some variant of this), aren't you disallowed due to mental conditions?
 
user129943
Has it been 4 hours?!
 
@Committingtoachallenge Yes. And after I am more stable, I will try to find the right therapist to work on my issues.
 
@I'mGettingThere No haha, you noticed though :)
 
1:44 AM
@Committingtoachallenge I do less things but I still have to do.
 
@I'mGettingThere I have to leave again in 6 min
@I'mGettingThere Then after that lecture it will have been 4 hours
@ABeautifulMind I haven't read much about country $X$, is this compulsory?
 
@Committingtoachallenge Yes, it is. If not, I wouldn't be doing it.
 
That's unfortunate :\
 
@Committingtoachallenge Well, my life has been mostly a series of unfortunate incidents, one after another.
 
@ABeautifulMind If you believe gamblers fallacy ;)...
 
1:46 AM
Maybe God wants me to be like Joseph.
 
@ABeautifulMind I don't know who that is unfortunately, I think he herded sheep or something?
Australia doesn't teach any religion at all, nor did my parents
(state schools that is[in queensland{when I went through}])
 
@Committingtoachallenge I am not too sure, just reading his story online a few hours ago, lol.
 
I have to leave now, best of luck :). Talk soon
 
@Committingtoachallenge I hope my miracle comes soon. Bye.
 
@ABeautifulMind I hope so also
 
1:50 AM
@ABeautifulMind: not sure, but you might find this song interesting (link)
 
Why did someone star my hi?
Hehe, you're all nuts.
 
Is there any good definition of "length of a curve" that does not depend on limits or integration?
Like, for area, all you need to do is define the area of a rectangle, and say that "A contains B" implies "A has a bigger area then B." This uniquely defines area for all open sets, I believe.
(So, in other words, it uniquely defines area for anything that you can actually say has an "area." The area under I_Q doesn't count.)
 
@ABeautifulMind Hi
2
 
> By I_Q, I mean the function that's equal to $1$ at rational points and $0$ at irrational points. Or other way around.
 
I have a low I_Q
 
2:04 AM
@ᴇʏᴇs I am watching the Nash documentary now, going to bed in an hour.
 
How rational of you.
 
@ABeautifulMind Oh, is it fun
 
@ᴇʏᴇs Yes, I watched it many times. A story for you. sivers.org/horses
 
Guess: Well, we know the length of lines. And we know that lines are the shortest paths. And we know that "A is convex and contains B, also convex" implies "A has a shorter perimeter than B." Does this define length?
 
@ABeautifulMind I'm not good at philosophical thinking
@ABeautifulMind I have no idea the purpose of this story
 
2:07 AM
@ᴇʏᴇs There is no philosophy. It just means that good things may be bad and bad things may be good.
 
@ABeautifulMind Isn't that a philosophy
 
Like, let's say we want to find the perimeter of a circle. Since lines are the shortest paths, we know that it has a bigger perimeter than any inscribed polygon. And because of the last thing, we know it has a smaller perimeter than any circumscribed polygon. This gives us the perimeter, since it's the only such number.
 
@ᴇʏᴇs I don't know what is philosophy. Is it a potato?
 
Is a tomato a vegetable?
 
sure
 
2:09 AM
wb
 
It is also a fruit.
There are 8 versions of this story here.
 
@MikeMiller I'm only gonna take 3 classes next semester, but 2 of them are grad courses
 
Interesting find jasper.
 
2:46 AM
@DanielFischer help please math.stackexchange.com/questions/1181676/… (I've got 2 upvotes, that means it is good!)
 
I think you made the right choice. Good luck, @ᴇʏᴇs
 
Thanks @MikeMiller, I got the same advice from my adviser and you so it must be good advice
 
A discrete set is something like {1, 2, 2.5, 6}, where each number is "separated" from all of its neighbors. An example of a not-discrete set would be the set of all rationals, or the set of all reals, or even {.9, .99, .999, .9999, ... , 1}, because the 1 isn't "separated" from anything (meaning that every open interval containing 1 also contains another number in the set).
At least, I think {.9, .99, .999, .9999, ... , 1} isn't discrete.
Another way of saying this: A discrete set is one where every point is an isolated point.
@AlecTeal
 
3:03 AM
c
@columbus8myhw it may be but I really doubt that is what it means in this case.
How on earth is [a,b] discrete and finite?
 
3:15 AM
[a,b] is neither discrete nor finite. {a,b} is.
{a,b} just means the set with only two points in it.
Or perhaps you're confusing "discrete" with "compact"? [a,b] is compact.
 
user129943
@columbus8myhw please no more help.
 
? @I'mGettingThere
 
user129943
You clearly don't get it, thanks for teaching us all that {a,b} is finite BTW
 
18 mins ago, by Alec Teal
How on earth is [a,b] discrete and finite?
I was just suggesting that maybe he misread something.
 
user129943
You misread the question!
 
3:24 AM
@DavidWheeler Cauchy, seeing that heaven is limitless, concluded that it was closed. Therefore, he ended up in hell.
6
 
That @robjohn begs the same question for hell.
 
Hi pal.
 
How are you pal?
 
Not too bad, yourself?
 
3:31 AM
Very tired, but otherwise good
I went to a 21st birthday party on Saturday and I lost that entire day, and some of the Sunday, which meant time for study had to come from somewhere(normal sleep time)
 
Commiting to:
 
Ouch :(
 
Which country are u from
 
United States?
 
3:33 AM
Australia
 
i see
Which university
 
m8=mate, straya=AuSTRAliA
 
Im wondering how is the culture there?
 
@yswong University of Queensland
Culture is great, we have every ethnicity pretty well represented(especially at the uni)
 
Thats good for u
 
3:35 AM
In fact we have more Asians than non-asians :P
Nah that's an exaggeration
 
Yup im an Asian
 
Many of my good friends are, and I notice they type better English than they speak
So it is pretty strange communicating online and then in person
 
This is my university
 
@Alec @i'm, how are you? How do I setup this page progression software?
 
Commiting: Do u all people go out for clubbing requarly
 
3:38 AM
@yswong I don't. I wouldn't have anywhere near enough time for one thing, and secondly I don't enjoy it(possibly related to having a girlfriend)
 
@Committingtoachallenge I'm going to bed now, try againlater
 
@AlecTeal I'll try in October :P?
 
I meant like 12 hours
 
@AlecTeal 1:38Am
@AlecTeal I will try again in 20 hours or so haha
 
Commiting: What do u normally do in ur free time
Commitng: DO u like ur school culture
 
3:40 AM
@yswong Culture is good, but mostly I just hang out with people at university and roommates and girlfriend when we go home
 
Thats good
 
I am overloading this semester so I will be spending most of my time only studying really
 
Commiting to: Is is stressful over there?
 
@yswong Not really, everything is relaxed now that I have a place to stay
If you aren't getting proper support from the government or family or something, then as a student it can be pretty bad
 
Committing to: Thats good for u
Commiting to: For us well, Our school is really very academic focus
Everything is about academics
And is very competitive in my school
Everyone will just simply study
And the expectations are very hgh
 
3:44 AM
That sounds very stressful
Most students have competitiveness here, but if you opt out(don't act competitive with anyone and don't say grades), everyone is nice and helpful
 
Commiting: Thats partly also because we are considered one of the best in our country
Commiting: And also thats the culture in our country generally
Commiting : Many people look forward to go for overseas exchange because its less stressful overseas and that they could get out
 
@yswong Oh wow, 22nd best uni by ranking in the world is pretty damn good
We are at 43rd right now
Australian National is at 25th
 
Yup: But that came as at price though
Im not sure is it worth it
Because my school is obsessed with ranking and stuff
But it isprobaly at the expense of the welfare of it students
In fact i can say that my country is obsessed with those ranking and stuff
And we would do whatever it takes just for the sake of the ranking
I understand some people might not like it but well thats our culture here
And lets say if u are not academically inclined
Then thats ur problem
U will just simply be out of the game
 
That sounds kind of depressing to be honest, in Australia everyone is laid back and noone really cares about that sort of stuff
The few people who are arrogant are generally disliked as a result
 
Its true:
I can only say tthe positive thing is that, if u can survive under such environment then it will be benefical for u
And it pudhes u to acheieve ur best potential
pushes
 
4:01 AM
Over crowding makes people too aggressively competitive.
 
Yeah true true
 
Well for us:
Among freinds we will help each other
Also because of the grading system used in our country
Our grading system go by the bell curve system
Ever heard of it?
 
Definitely
Bell curve is used here when the grades are overly skewed in either direction
 
aka Gaussian
 
For us all our grades are releative
That means for each grade such as an A grade there will only be alimited number of people who cn get it
limited
And u can say literally in order to do well we have to push someone else down
 
4:06 AM
Yes this is the same in many Australian unis
 
And know what happens when everyone wants to get the converted A grae
 
Especially Law
 
Survival of the fittest
 
Another thing is that most students are really very smart
Simply because only the best in my country could enter university
 
We have 55000 students
 
4:08 AM
In my country only the top 26% of the students in each cohort could enter university
The rest who could not make it ave to go overseas
 
/me hates googling for something only to find answers to questions I asked on various fora years ago :-/
 
Otherwise they end up in private university
 
@MarianoSuárez-Alvarez that happens to me, too!
 
morning, @Mariano
 
@yswong for a moment, there, i thought you said "pirate" university
 
4:12 AM
@MarianoSuárez-Alvarez How long have you been a moderator?
@DavidWheeler aving to go over the seas is the pirate university
 
good catch
 
hi all :-)
@Committingtoachallenge you can see that here
wow
I am the oldest :-/
 
Mariano is the founder
of the old school
 
i haven't seen you in here before, @Mariano
bored today? :)
 
@MarianoSuárez-Alvarez I can't believe that mixedmath and I are the second and third...
 
4:23 AM
:-O
How times have changed
 
@robjohn you are also old
 
@MarianoSuárez-Alvarez in several ways :-)
 
Let me count the ways, quoth the bard.
 
@MarianoSuárez-Alvarez Harro.
@robjohn Hey.
 
@PedroTamaroff hi pal
 
4:28 AM
Woah this turned into a moderator meeting pretty quickly
 
@PedroTamaroff wow... I remember when it would take severe problems to get four mods in chat.
 
Well, our friend Ali returned, didn't he?
>;)
 
4:41 AM
@MarianoSuárez-Alvarez uh, that was Elizabeth Barrett Browning, methinks
 
@DavidWheeler "How do I love thee, let me count the ways."?
That's a lovely poem.
 
@DavidWheeler Billy Shakespeare!
 
@MarianoSuárez-Alvarez Dis.
@DavidWheeler I absolutely love this one.
 
That one is quite lovely
 
@PedroTamaroff I dont like your profile picture
 
4:54 AM
@TheEmperorofIceCream I don't like it either.
 
why do you have it then?
so people fear you?
 
i'm fond of this one
 
@TheEmperorofIceCream He does this each time and they are sad :'(. He had a nice picture up when I voted for him
 
Call the roller of big cigars,
The muscular one, and bid him whip
In kitchen cups concupiscent curds.
Let the wenches dawdle in such dress
As they are used to wear, and let the boys
Bring flowers in last month's newspapers.
Let be be finale of seem.
The only emperor is the emperor of ice-cream.

Take from the dresser of deal,
Lacking the three glass knobs, that sheet
On which she embroidered fantails once
And spread it so as to cover her face.
If her horny feet protrude, they come
To show how cold she is, and dumb.
 
4:56 AM
it's just the pale man
don't eat his stuff and you're fine
 
yup, he's from the Pan's Labyrinth
 
@TheEmperorofIceCream Well, now you're given away you're not American.
 
but Mike is american and he knew about it too
 
I think Pan's labyrinth is well-known
 
Concupiscent curds-such language!
 
5:00 AM
@TheEmperorofIceCream No, no.
 
I watch a lot of foreign film but Pan's labyrinth is just generally pretty famous
 
In Spanish, it is called "El Laberinto del Fauno", but in English it's "Pan's Labyrinth"
 
i haven't seen it myself, but it's definitely a film that's well-known here
in america, i mean
 
@PedroTamaroff Oh you mean because I wrote Faun and then corrected it?
 
@TheEmperorofIceCream Yeah.
 
5:01 AM
technically, I think Pan was a satyr
 
think pan was a demigod. not sure if that would preclude him also being a satyr, though
 
I think Pan was a satyr, but the god Pan is not in the movie at all
soo
 
Ikr? Interesting movie, though
 
Do you get it with subtitles or translated to english?
 
wikipedia has "He has the hindquarters, legs, and horns of a goat, in the same manner as a faun or satyr."
 
5:04 AM
I watched it with subtitles
dubbing foreign films is always really jarring to me
 
I don't remember-I think subtitled first, dubbed at some point afterwards
 
Unless it's a 70s kung fu movie. Then dubbing makes it better.
 
of course
 
i always feel a little silly when i have a perfectly correct derivation of something, but still want to find a more elegant way.
especially when it's something fairly computational rather than conceptual
 
@Semiclassical Example?
 
5:12 AM
i've got a specific one in mind at the moment
which amounts to saying that a certain matrix determinant is equivalent to a sum of two chebyshev polynomials
i can do it by laplace expansion easily enough, and by rewriting in terms of transfer matrices. so i should be satisfied by that
but I still feel like there's a better way to do it :P
it's not like it actually matters---it's really just a sidenote in a larger calculation---but dagnabbit, i want elegance!
 
Einstein wrote "matters of elegance should be left to tailors..."
 
elegance is overrated
clarity is paramount
where are these chebyshev polynomials going?
 
(just curious)
 
5:18 AM
well, to be more precise, that matrix determinant is the characteristic polynomial of some symmetric matrix
and then i want to evaluate a certain function at each of the roots, and sum them up
 
ah, interesting
 
which is most easily done with contour integration and the argument principle
but one needs the characteristic polynomial itself as input, so a derivation is necessary. i'd just like to get it as short and sweet as possible
it's pretty nearly eq. 19 from here
except that the off-diagonal elements are -1 (think that's trivial, though) and the 11 component of the matrix is $2x+t$ instead
 
Oh weird, I haven't seen that one before
 
yeah, it's a neat one
and the result is that it's just $U_n(x)+t U_{n-1}(x)$ where $n$ is the size of that matrix
i can derive it in a similar way as one derives the version in eq. 19, but eh
i feel like there should be some nice way to reduce it to eq. 19 directly
 
5:24 AM
Actually iirc he was quoting Boltzmann @Semiclassical :-)
 
ahh, heh
like i said, it's a bit silly since the major work is on handling the resulting contour integral
 
I would be interested to see the end result eventually :)
 
heh, i'll see what i can do
okay, time to sleep
 
same here
night
 
Later guys :-)
 
5:34 AM
@infinitesimal Sleep well gentle angel
 
Thanks m8
 
@AntonioVargas that's an important determinant, as it essentially is the characteristic polynomial of the Cartan matrix of type $A_n$
and/or the discretization of the Laplace equation in dimension 1 :-)
 
why the latter?
 
6:01 AM
Hello !
 
Hi pal
 
@MikeMiller Any idea why $\dfrac{dS}{dr}\dfrac{1}{r\left(1+\left(\dfrac{dS}{dr}\right)^2\right)^{1/2}} \sim\dfrac{\frac{1}r\dfrac{dS}{dr}+\frac{1}r\left(\dfrac{dS}{dr}\right)^3} {\left(1+\left(\dfrac{dS}{dr}\right)^2\right)^{3/2}}$ ?
 
Does not render^
 
(if the latex doesn't render well :
~ means approx equal (it's physics)
@infinitesimal any idea ?
I'll ask in the physics room :D
 
@ɧɿρρԹʅȝՇԵՐՎԾՌ please read this answer
 
6:13 AM
@robjohn I know, but I was hoping that I'd get the white spaces at the right place :-)
 
@ɧɿρρԹʅȝՇԵՐՎԾՌ I added a couple of spaces
 
Do you have any idea on my formula ?
 
@MikeMiller the equation is $x''=0$, which you can discrtize as $x_{i-1}-2x_i+x_{i+1}=0$ (once you multiply by $h^2$) for $i=0,\dots,n$ (and so something at the endpoints...)
 
@ɧɿρρԹʅȝՇԵՐՎԾՌ because they are equal?
 
Oh wait, I can factor that denominator. Sorry for the silly question
 
6:16 AM
@ɧɿρρԹʅȝՇԵՐՎԾՌ $\sim$ is usually used for "asymptotically equal to". $\approx$ is better for "approximately equal to"
 
Oh thanks, I didn't know the command
Totally forgot about Detexify
 
@ɧɿρρԹʅȝՇԵՐՎԾՌ If you are looking for an integral to try, I just posted a solution to $$\int_0^{2\pi}\int_0^1\int_0^1xy\sqrt{x^2+y^2-2xy\cos(\theta)} \,\mathrm{d}x\,\mathrm{d}y\,\mathrm{d}\theta$$ Try it before looking :-)
 
 
2 hours later…
8:24 AM
Hello, can someone told me the definition by $\varepsilon$ of $\liminf_{x\rightarrow +\infty} F(x)=-\infty $
 
for all $K$ there exists an $L$ such that for all $y>L$ we have $F(x)<K$
in other words, for all sufficiently large values of $x$ the value of $F(x)$ is as small as we want.
 
it is the same as the definition of limite ?
@MarianoSuárez-Alvarez ?
 
what?
oh sorry, I missed the lim inf
I was answering for lim
so, canyou write down what $\liminf_{x\to x_0}F(x)=-\infty$ means?
for a finite $x_0$
 
9:01 AM
i have no idea
 
9:52 AM
@MarianoSuárez-Alvarez if you have an idea: math.stackexchange.com/questions/1182004/…
@MarianoSuárez-Alvarez i see that $\liminf_{x\rightarrow +\infty} F(x)=\lim_{x\to +\infty}(\inf_{y\geq x} F(y)$
 
 
1 hour later…
11:16 AM
Does $A^n = \operatorname{Id}$ imply that $A$ is diagonalisable?
Is it as simple as seeing that $A^n = \operatorname{Id}\implies A^{-1}AA=\operatorname{Id}$ where Identity is obviously diagonal, hence the $P$ that diagonalises $A$ is $P=A$?
Someone was saying something about similarity and self-adjoints, but I didn't follow
Not that I understand no first read, but I have to sleep now, night
 
user129943
11:38 AM
Morning
 

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