Mathematics - 2015-07-07 (page 1 of 3)

Owatch

12:01 AM

@Hippalectryon Do you mind having your name placed on the list of contributors to my App?

I only know your username, so perhaps you can tell if (if you wish) later.

Karim Mansour

12:34 AM

hi guys

Karim Mansour

12:50 AM

hey @TedShifrin

I was wondering when solving apostol how much details you think I should account for when proving something

is it good to include all the details

Ted Shifrin

It's hard for me to answer that. If I'm grading homework, I will allow you to skip details once I'm satisfied you know how to provide them.

Karim Mansour

for example consider this question: Determine the accumulation point of the following sets and determine if it is closed or open. 1)(a,b] For example we can see that (a,b] a is an accumulation point and I can show that explicility by constructing the ball such that when you intersect with the set it will be empty set.

not empty I meant

yeah I see

Ted Shifrin

Some students belabor obvious points and skip details that they really din't know how to do. Obviously, that's bad.

Karim Mansour

yeah

I guess I could do that for a question and skip in others once I make sure I know 100 % how to do all the details

Ted Shifrin

Right, examples like that are pretty straightforward. Not so clear when you get to harder ones.

Karim Mansour

12:56 AM

yeah

is the accumulation points of the following set $X = {2^{-n} + 5^{-m} m =1,2,...}$ is all of $R^1$ right ?

evening, chat

hi @Semiclassical

@karim @ted hi

btw I am at point of learning euler angles in my mechanics class

neat stuff

Semiclassical

ahh, euler angles. so wonderfully awkward :)

Karim Mansour

1:05 AM

and relating angular velocity between PA and a fixed axis

yeah :D

Semiclassical

what i do find interesting about euler angles, in retrospect, is the representation theory aspects of it

Karim Mansour

yeah

Ted Shifrin

Say whAt, @Karim?

Hi, @Semiclassic.

Karim Mansour

what is the set of all accumulation point of $1/2^n + 1/5^n$

sorry

$1/2^n + 1/5^m$

Ted Shifrin

I got the question. You should draw some pictures.

Karim Mansour

1:17 AM

we can easily see that $1/2^n$ will be an accumulation point for the set for any n and same thing for $1/5^m$ since we keep shifting them.

Ted Shifrin

Well, "since we keep shifting them" isn't exactly a precise justification. Any other accumulation points? @Karim

Karim Mansour

also there addition should be inside

Ted Shifrin

huh?

Karim Mansour

I don't know that is the points that I currently see as accumulation point I haven't written a careful argument yet just out my intuition so far

@TedShifrin

Ted Shifrin

1:32 AM

Well, you should be able to show in one line why $2^{-n}$ and $5^{-m}$ are all accumulation points. Any others?

Hello Math SErs

heya @Clarinet.

hm

Haven't seen ya in a while.

Clarinetist

Just started the new job today. I'm hoping it turns out well. Was out of town for the last week.

Ted Shifrin

1:34 AM

Ah, well, congratulations :)

Clarinetist

I think the friend I have who works 80 hrs/week is an outlier (bad management).

Ted Shifrin

or maybe just an outliar ? :D

Karim Mansour

I don't think so @TedShifrin ?

I was thinking

Clarinetist

Haha. :P Idk, I've talked to him at 2AM a few times and he tells me he's at work

Ted Shifrin

Maybe he doesn't go to work until 8 PM.

@Karim: Have you drawn a picture of this set of points?

Karim Mansour

1:36 AM

no I haven't drawn them

I will now to see how it goes

I was just thinking about it intuitively that is how I got to see that $1/2^n$ and $1/5^m$ are accumulation points

Ted Shifrin

Well, still, you should be able to give me a one-line proof for those. But I'm still waiting to be assured that there are no other accumulation points, or, if not, to know what the others are.

Clarinetist

I'll be honest, I was pretty annoyed with the naivete of the new college grads here oohing and aahing over the buildings here... but just thinking about it now, I think I'm in a good situation. I'm just itching to work and hoping these two weeks of this company bragging about itself go by quickly.

Ted Shifrin

LOL, maybe you can find one thing to ooh and aah over, @Clarinet :)

Karim Mansour

lol

Clarinetist

Haha. Well, let's see. Free Orville Redenbacher (sp?) popcorn, juice, tea, water, coffee (not a coffee drinker here) every day

Ted Shifrin

1:40 AM

with all that, they'd better give you a free hour in a gym, too.

Clarinetist

@TedShifrin You think they'd maybe have an on-site gym with their 380 or so acres of land, but they don't!

Ted Shifrin

Tut tut ...

Karim Mansour

ok so

hm

Clarinetist

This place is massive

I spent most of my day in a 11,000-seat auditorium

today

Karim Mansour

so to be an accumulation point we have to have for every Ball B(x,r) where x is accumulation point we must have $B(x,r) \cap S \neq \phi$

where S = {$1/2^n + 1/5^m$: n,m = 1,2,...}

so

Clarinetist

1:42 AM

And that's MAYBE 1/4 of one of the 10 or so buildings they have here

Karim Mansour

hm

1 moment thinking

Ted Shifrin

BTW, @Karim, you should write \emptyset, not \phi.

Karim Mansour

okay

Ted Shifrin

What do they do with 11,000 seats, @Clarinet?

Clarinetist

@TedShifrin host.madison.com/business/…

Karim Mansour

1:44 AM

are also some irrational numbers accumulation points ?

Ted Shifrin

I want you to think hard and have a proof in mind before you ask me, @Karim.

Clarinetist

@TedShifrin "Epic Systems Corp.’s enormous new auditorium — known as Deep Space — made its debut this week as more than 15,000 employees and customers gathered Monday for the Verona electronic health records company’s annual users’ group meeting, one of the area’s biggest tourism engines.

The Greater Madison Convention & Visitors Bureau estimates the economic impact of the annual gathering at $6.5 million, second only to the World Dairy Expo.
Deep Space, a five-story, underground auditorium, is believed to be the biggest in Wisconsin with 11,400 seats and room for a future 3,000-seat balco…

Karim Mansour

okay

Ted Shifrin

Holy *** @Clarinet

Clarinetist

@TedShifrin As I've told people sometimes, I think the CEO of this company has money to burn. Construction is being done to open 3 new buildings, and from what I learned today, construction and creation of new buildings has been done virtually constantly since 2010, at least.

She is - I think - the richest woman billionaire in the U.S.

Ted Shifrin

1:46 AM

How many times a year do they plan to fill that auditorium? That's bigger than any sports arena I've been in.

Clarinetist

@TedShifrin At least quarterly (all-employee meeting), and during the annual event mentioned above

Ted Shifrin

All employees? How many is that?

Clarinetist

@TedShifrin It's at least 8,500.

and growing

There were 760ish new hires today.

Ted Shifrin

Wow. Maybe I should come out of retirement :P

Clarinetist

But high turnover. Still, the place is growing.

Semiclassical

1:50 AM

why the high turnover?

Clarinetist

@Semiclassical Lots of fresh no-experience college graduates. Just google Epic Systems and you will find a slew of complaints. I've only been there for a day and haven't done any true work yet, so I don't have an opinion on the workload yet.

Semiclassical

mmkay

Clarinetist

@Semiclassical Perhaps I will find myself back in Minneapolis, idk. A lot of it will depend on how this job goes.

Ted Shifrin

Well, @Clarinet, if they send you out to San Diego, come visit.

Clarinetist

@TedShifrin Of course :)

Semiclassical

1:53 AM

i wonder a lot about what i'll be doing post grad school

Ted Shifrin

(I'll even give you a cooking lesson, @Clarinet ... for free. :D)

Clarinetist

Lol

Semiclassical

esp. since i really have no intention of staying in academia. the career outlook is just no good.

Karim Mansour

why

I thought post grad is actually safe

Ted Shifrin

@Karim: You got distracted from your mission.

Karim Mansour

1:56 AM

0 is accumulation point 2 @TedShifrin

Clarinetist

@Semiclassical Easy way to stay in academia and make $60k+: take some actuarial exams and apply for an actuarial professor position.

Ted Shifrin

Aha. Any others?

Karim Mansour

no @TedShifrin

Semiclassical

eh, no

i've no interest in actuarial science

Ted Shifrin

OK, @Karim.

Nor I, @Semiclassic.

Clarinetist

1:58 AM

@Semiclassical Can't blame you there, but it is an option. I'm surprised how many profs I met in my last few years asked if I could give them tips on studying for those

Karim Mansour

S` = {$1/2^n$} U {$1/5^m$} U {0}

@TedShifrin

correct ?

Ted Shifrin

If I loved teaching, I would still pursue academia, even now, @Semiclassic. The job market was dismal when I finished my Ph.D.

Yes, @Karim.

Karim Mansour

lgood :D

Clarinetist

@TedShifrin Yeah, my alma mater hasn't had merit raises since 2000, from what I've gathered

Semiclassical

teaching is something i actually rather enjoyed, esp. when i got out of the intro physics grind

Ted Shifrin

1:59 AM

Some succinct proof would be good, @Karim.

Karim Mansour

yeah

Semiclassical

though i should really say TA-ing

Karim Mansour

I will write a careful proof now

Ted Shifrin

Try to be short and to the point, but precise, @Karim.

Semiclassical

the difference between TA-ing and lecturing is a big one, i suspect

Karim Mansour

1:59 AM

yeah

Ted Shifrin

when you TA you get to play good cop bad cop :P

Clarinetist

I got to do a few lectures on special topics. Loved it.

Semiclassical

snerk, yep

the frustrating thing is that i actually like research in the sense of "learning things and applying them in interesting ways." and i love being part of research conversations, and lending my expertise/interest

Ted Shifrin

Of course, often when I've taught a course using my own text, I would make snide comments about how the author really bungled the exposition and I was going to show them the right way in class. :)

Clarinetist

@Semiclassical That's the part of academia I miss most of all.

I haven't seen that in industry much, tbh with you.

Ted Shifrin

2:01 AM

Yes, @Semiclassic, I think it might be too early for you to give up altogether.

Clarinetist

I remember I would spend many days and nights in the seminar room. Sure, it was hard work, but I loved it. Got to converse with a lot of the professors when they'd walk by.

Karim Mansour

hmm

Ted Shifrin

well, @Clarinet, you hang around here a lot ... so you obviously like math.

Your $ usage sucks, @Karim :)

Clarinetist

@TedShifrin Haha, very good statistical inference :P

Karim Mansour

yeah I know

let me fix it

Ted Shifrin

2:03 AM

@Karim, \{ ... \} is how you do sets in math mode.

Semiclassical

amusingly, i actually do enjoy grad school right now. (even if i'm still being a really stick-in-the-mud re: writing things out properly. the drawbacks of doing things a lot by intuition)

Clarinetist

If anyone wants a $\LaTeX$ for dummies document, I created one for an Abstract Algebra I class years ago.

Karim Mansour

that would be good @Clarinetist

Semiclassical

the stuff i'm doing is interesting and engaging

Karim Mansour

okay so we have $S = \{ 1/2^n + 1/5^m \} = \cup_{m = 1}^{m = \infty}\{1/2 + 5^{-m} ,1/4 + 5^{-m},...,1/2^n + 5^{-m},...\}$

good

Semiclassical

2:06 AM

problem is, i'm enjoying it right now -precisely because- i'm not having to engage so much at the moment with the parts of it i find utterly anxiety-provoking. (and even without that i've already had a few weeks where i couldn't come into the office b/c my nerves were shot)

Karim Mansour

and from this we can expand it further and see that $S` = \{1/2^n\} U \{1/5^m\} U \{0\}$

Clarinetist

Here you go @KarimMansour . Can't guarantee the document is free of typos (I haven't looked at it for years).

dropbox.com/home?preview=Text.pdf

Ted Shifrin

LOL ... no justification at all, @Karim.

Clarinetist

@KarimMansour Whoops

dropbox.com/s/90i28fwteewnk4q/Text.pdf?dl=0

Semiclassical

though that's a -tad- besides the point, since in order to stay in academia at a serious research level i'd have to do a few post-docs before going for tenure

and to hell with that.

Clarinetist

2:07 AM

@KarimMansour I don't explain everything, FYI. A lot of the exploring is left to you: I just give you the tools and give you explanations where I think necessary.

Karim Mansour

good thank you @Clarinetist

Semiclassical

that's something i'm just not at all willing to explore

Clarinetist

@Semiclassical Yeah, I've only heard horror stories when it comes to postdocs.

Semiclassical

i'm also speaking as a theor. physics guy, and the academic job market in that realm isn't great.

Karim Mansour

yeah @TedShifrin I am thinking atm to make a clear proof that properly justifies it

is it supposed to be simple ?

because most of the proofs I can think of are in about many lines

to properly justify it

Ted Shifrin

2:12 AM

You should justify why each of those points is and why there are no others. Yes, simple. I need to reboot. BRB.

Semiclassical

this blog post is a good summary of why i find post-docs revolting: backreaction.blogspot.com/2015/06/…

Clarinetist

@Semiclassical Yep, I read that. Huge discussion on Reddit about that

Karim Mansour

what about theortical physics like string theory @Semiclassical ?

Semiclassical

that's not what i do myself, no

Karim Mansour

I mean is it safe to go there ?

Semiclassical

2:14 AM

i'm more in the realm of mathematical physics + condensed matter theory. quantum stuff

Karim Mansour

I see

Semiclassical

oh. no, i wouldn't say so.

iluso

Hi! Is there someone into combinatorics around here ?

Semiclassical

depends on what kind of combinatorics. what do you have in mind?

iluso

@Semiclassical A closed form for the number of distinct unordered factorizations

9

Q: Distributing groups of objects into boxes

How can I enumerate the number of ways of distributing distinct groups of identical objects (but various cardinality) into $k$ boxes such that at most one box is empty $(1)$ and no combination of objects is repeated between boxes ? The order of objects inside their box or the order of boxes do n...

Semiclassical

2:19 AM

i've seen that before, given that my upvote for it is there

but it was beyond my capabilities

Soham Chowdhury

2:34 AM

@BalarkaSen what kind?

Karim Mansour

3:01 AM

hi

I was wondering if we have B(y,r) when we represent the ball as ||x - y|| < r do we consider x in our set ?

for example if our universe is $R^1$ and we consider S = (a,b) that is set of open ball in $R^1$

for example I am proving that open interval in $R^1$ is open set I want to include all the details in the proof I decided too solve stuff fully in details instead of fooling myself I know it.

so

let y $\in$ (a,b) consider B(y,r) such $r = \frac{y + b}{2}$ we can show that indeed ||x - y|| < r < b so it is less than b I can show it,but how do we know that it is bigger than a ? in order to show that it must be subset of (a,b) ?

that is how can I show for every x $\in$ B(y,r) a < ||x - y|| ?

because we could have some points ||x - y|| that is bigger than a

Soham Chowdhury

3:21 AM

@KarimMansour of course we do.

$\forall r>0\;.\; ||x-x||<r$, so, by definition . . .

@KarimMansour what's the definition of an open set?

Karim Mansour

all of the points are interior point

so a point is interior point if it is in our set

Soham Chowdhury

okay. that's a weird def.

anyway.

Karim Mansour

but how do we know it is bigger than a?

Soham Chowdhury

what are open balls in $\Bbb R$?

Karim Mansour

so in $R^1$ we have all points such that |x - a| < r

ohh oke

I got it

Soham Chowdhury

3:28 AM

no. open balls in $\Bbb R$ are just open intervals.

Karim Mansour

yeah

Soham Chowdhury

now construct an open interval $(a-\epsilon,a+\epsilon)$ contained in $(x,y)$ around every point $a$ in your open interval $(x,y)$. (how will you do this?)

if you can, then $(x,y)$ is automatically an open set. qed.

Karim Mansour

I see

yeah the way I did it is that I made sure it doesn't touch the left part b

but it could touch a

so I need to construct the open interval as you said

okay you know a way to do it is the following

Soham Chowdhury

it shouldn't touch either.

Karim Mansour

yeah exactly

Soham Chowdhury

3:31 AM

because if it touches $a$, it goes outside the set.

Karim Mansour

yeah

Soham Chowdhury

so?

one way is this: let $\epsilon < \min(|x-a|,|y-a|)$. done.

Karim Mansour

I see

Soham Chowdhury

then it touches neither, and you're done.

Karim Mansour

yeah

Soham Chowdhury

3:33 AM

one piece of advice: draw pictures.

it helps a great deal.

okay I gtg

Karim Mansour

yeah I am just solving questions in apostol at first I was like yes I can do this and just skip writing details but yeah that is bad because details make me think if I did it correctly or not

cya

r9m

@DanielFischer sama you there?

Soham Chowdhury

3:59 AM

Can't $B_3 \notin \mathscr{B}$?

It might just be a union of a bunch of basis sets, as the text says, but not one itself.

oops, wrong font.

oh, wait. ignore all this. i'm stupid.

r9m

6:45 AM

@AlexanderGruber (^_^)/ hello! Haven't seen you in a while ..

Alexander Gruber

@r9m Hi there. Yeah, I have been away. Been grad schoolin'.

How's it going round here?

Tobias Kildetoft

@AlexanderGruber Hi. Long time indeed.

Alexander Gruber

:) I haven't been to chat for some time! Mostly I mod and dip, but not tonight.

r9m

@AlexanderGruber :-)

@AlexanderGruber after taking up mod duties @DanielFischer has also become rarer on chat ..

dREaM

What is a good place to obtain graphs of functions to add to answers'

?

Alexander Gruber

6:52 AM

@r9m There is a bottomless list of stuff to get into. My site participation has gone down a lot too.

@dREaM wolfram alpha?

dREaM

we can use those graphs?

Alexander Gruber

@dREaM You can save them and add them to answers.

Tobias Kildetoft

@AlexanderGruber So what sort of math have you been up to?

Alexander Gruber

@TobiasKildetoft applied algebraic topology most recently.

Tobias Kildetoft

@AlexanderGruber applied to what?

Alexander Gruber

6:56 AM

data

it is getting to be a "thing" now. Gunnar Carleson has some articles

Tobias Kildetoft

interesting

Alexander Gruber

long story short, you get some data, you assume it's collected from some topological space or another, you try to figure out what the space is

people are doing stuff like trying to detect cancer with that. Finding holes in lungs.

Tobias Kildetoft

@AlexanderGruber neat

Alexander Gruber

yeah. :) How bout you? Still representin'?

Tobias Kildetoft

@AlexanderGruber yeah, representing all sorts of things

put a paper on the arXiv with my mentor a few weeks ago

now I am learning about how representation theory can be used to study modular and automorphic forms (and generally the Langlands program), since I am planning to apply for a stipend for a project with a guy working on those topics

also still working on turning my dissertation into some papers

I am quite happy with how that arXiv paper turned out. The theorems are all "classical" (meaning the questions they answer could certainly have been asked 30 years ago). But the methods used are very much applications of theory developed in the past 5 years

Alexander Gruber

7:07 AM

@TobiasKildetoft well that's very cool!

Tobias Kildetoft

@AlexanderGruber and now that I looked at the references to see that I was correct about the number of years I found a really weird error. In the middle of one of the titles it says "Conjecture 2' is true"

Alexander Gruber

@TobiasKildetoft Haha, oh my. A message from the past.

Tobias Kildetoft

@AlexanderGruber Well, Conjecture 2' is from the paper, so maybe it is telling us that we are correct

Soham Chowdhury

8:12 AM

@Tobias, I was telling my mother about applied AT yesterday. It's a cool thing.
If you have, say, a 500-dimensional point cloud, you can turn it into a simplicial complex and use homology (?) to find, say, "holes" in the cloud where there's no data.

that may tell you that, for example, it's going to be stupid to invest in, say, neon-coloured dentures, because you have a "hole" in your customer data where the target audience for that would have been.

Hippalectryon

@Chris'ssistheartist Isn't there a repository of his work online ?

Tobias Kildetoft

@SohamChowdhury But homology can only tell you something about the number of holes, not the placement (and same for topology in general)

Soham Chowdhury

8:34 AM

Well, I wouldn't know. But I suppose there must be ways of finding out interesting features of one's data.

Tobias Kildetoft

@SohamChowdhury I suppose the idea is to then take subsets of the data and see if those subsets contain the holes

Soham Chowdhury

Yeah, perhaps.

Tell me, what does one do during a postdoc?

Tobias Kildetoft

@SohamChowdhury research and teach (my position is formulated as "max 20% teaching")

Mats Granvik

Table[Limit[
Exp[MangoldtLambda[n]] DirichletL[n, 1, s] -
Exp[MangoldtLambda[n]]*Zeta[s] + Zeta[s], s -> 1], {n, 1, 42}]

Soham Chowdhury

what do you teach, @Tobias? and so the position is at a university?

Tobias Kildetoft

8:40 AM

(technically, I am not a postdoc due to some strange technicalities. According to my contract, I am a researcher on a time-limited contract)

@SohamChowdhury Yes, at a university. I have not actually taught during my postdoc so far, but in the fall I will be teaching exercise sessions in linear and abstract algebra

Soham Chowdhury

What kinds of applications does representation theory have to physics and chemistry, @Tobias?

(Artin says in the preface to his Algebra, "I figured if the chemists could teach it, why not we?" :P)

iwriteonbananas

9:01 AM

@SohamChowdhury hmm where did you read about that?

Tobias Kildetoft

@SohamChowdhury The one application I am familiar with (and only barely) is that the vibration of a molecule is given by the solutions to a set of differential equations, which form a vector space. The (finite) group of symmetries of the molecule acts on these solutions, giving a representation of that group.

Soham Chowdhury

9:25 AM

@iwriteonbananas don't remember. probably reddit.

Tobias Kildetoft

@SohamChowdhury There is a chapter about it in the book by James and Liebeck

Chris's sis the artist

@Hippalectryon Yeah, but I don't think he attended such stuff.

@Hippalectryon I prepared a new question to my book.

Hippalectryon

:D

Chris's sis the artist

:-)

Soham Chowdhury

@Chris'ssistheartist just a little tip: use "worked with" or "solved" or "attempted" instead of "attended". :)

Chris's sis the artist

9:34 AM

@SohamChowdhury Attempted doesn't have the meaning of trying?

Soham Chowdhury

then "worked on" is best.

"attended" sounds weird.

Chris's sis the artist

@SohamChowdhury OK

Soham Chowdhury

:)

Chris's sis the artist

@SohamChowdhury ;)

Soham Chowdhury

how many pages is your book now?

Chris's sis the artist

9:35 AM

@SohamChowdhury At least 500-600.

Soham Chowdhury

well . . . wow.

Chris's sis the artist

There is some work on it. :-)

Soham Chowdhury

good luck with it. and don't do the "this is obvious" thing too much ;)

Chris's sis the artist

@SohamChowdhury Thanks. :-)

Hippalectryon

@Chris'ssistheartist Happy Potter, but in maths :P

Chris's sis the artist

9:37 AM

@Hippalectryon loolllllllllll :-)))

Hippalectryon

A bit :P looks a bit awful to do though (unless you have a clever trick)

Chris's sis the artist

It's not exactly what I want, but I work on that.

Done. It was too easy.

BUT, I might add it to the very easy section.

The whole story gets reduced to calculating $$\sum _{k=0}^{\infty } (-1)^k \frac{2 k+1}{2 k^2+2 k+1}$$

I'm glad Mathematica offers latex function and I save a lot of time.

evinda

10:01 AM

Hello!!! :)

skill patrol

Hi :)

How are you @evinda?

evinda

Fine, thanks. You? @skillpatrol

skill patrol

Fine, thank you @evinda

Chris's sis the artist

$$\frac{1}{2} \pi \text{sech}\left(\frac{\pi }{2}\right)$$

Chris's sis the artist

10:27 AM

No free paper in this house anymore.

(that's amazing)

Hippalectryon

lol

evinda

Hi @Hippalectryon :)

Hippalectryon

hi :D how's your day ?

evinda

@Hippalectryon I don't do anything special. What's with you?

Hippalectryon

Nothing special either

evinda

10:34 AM

What kind of music do you like to listen? @Hippalectryon

Hippalectryon

@evinda "movie-like" music, epic scores, ...

evinda

For example? @Hippalectryon

Hippalectryon

@evinda youtube.com/watch?v=wFJRAMzrtkc (@Chris'ssistheartist look it up too :P)

@evinda And some music from Animes also

Chris's sis the artist

@Hippalectryon niceeeeeeeee ....

evinda

I agree.........

@Hippalectryon Do you like this?

https://www.youtube.com/watch?v=Aoc9SrvkZHs

Hippalectryon

10:43 AM

@evinda They're ok, but I try to avoid lyric I understand since I usually find them very dull

Hence why I usually listen instrumental music and/or with foreint (not english/french) lyrics

Chris's sis the artist

@Hippalectryon That one was very good. It represents me. ;)

Hippalectryon

@Chris'ssistheartist I should make a Playlist for you some day :P

Chris's sis the artist

@Hippalectryon yyyyeaaaaaahhhhhhh!!!! :D

evinda

@Hippalectryon A ok... I also like this french song: https://www.youtube.com/watch?v=K5KAc5CoCuk

Do you like this greek song? https://www.youtube.com/watch?v=fsGzFSqeV98

Hippalectryon

@evinda Once again it's Ok, but not what I would spontaneously listen to.

evinda

10:50 AM

@Hippalectryon Ok...

Hippalectryon

@Chris'ssistheartist Btw do you also like this kind ? youtube.com/watch?v=gtmdnB95Uxc I do, but it's quite different

Chris's sis the artist

@Hippalectryon I like it too. :-)

Hippalectryon

ok :D

evinda