« first day (2730 days earlier)      last day (2201 days later) » 

3:00 PM
My boy Meek Mill is out
 
free meek worked
 
yup
I was shocked !
I am happy though
very elated!
 
I never found out what he got locked up for
 
this time it was nothing
the judge and cop were on a personal vendata thing
 
what was the charge
 
3:02 PM
Billionaire power and pressure from celebrities
Once this kind of money came in, even the prosecutors and the supreme court intervened and an immediate order of his release was . . .
 
probation violation
did he do the dirt or not
 
he did not
 
if he was innocent, ofc it's fucked up, but if he did it, lol
@Cows proof?
 
@Danu I'm primarily interested in functions of the form $F(x,y,z) = \det (z\mathbb I - M(x,y))$ where $M(x,y)$ is a square matrix with analytical entries
 
3:05 PM
@0celo7 The Pensyvania supreme court decided there was nothing. Even the prosecution refused to move on it.
@0celo7 the legal community is planning on coming up with creative ways of firing the judge involved
@0celo7 He left jail like the boss into a quarter billion dollar car, then into a hellicopter with a billionaire, then there were women all over lined up waiting for him at his crib. Total boss lol
 
as I understand it, in 1D there's plenty of results on that line, so you look at e.g. $S=\{(z,w)\in \mathbb C^2 : \det (z-M(x))=0\}$ where $M(x)$ is $n\times n$, which in a Bloch-function band-formalism perspective has $n$ bands and $n-1$ gaps, and in some circumstances one can show that $S$ is a manifold of genus $n-2$ or something
I'd like to take that stuff up one dimension
 
@0celo7 so the rumors are . . . . . the cop was dirty and conspired. Second the judge did not get the D from him at some point so . . . .
hehe
presumably the judge also wanted him to do a b2m remake and he refused. So she got angry
Presumably she decided to go after his producer, his manager then him
 
@Cows this sounds like an Alex Jones theory
 
@0celo7 it sounds so except it happens to be true which is crazy lol
@0celo7 It also helps that Meek's lawyer was en.wikipedia.org/wiki/Joe_Tacopina
Joseph "Joe" Tacopina, is an American-Italian lawyer and chairman/owner of Venezia F.C.. He was born and raised in Manhattan to Italian immigrants. He and his family currently split time between living in Italy and Dyker Heights, Brooklyn. == Lawyer == Tacopina graduated from the University of Bridgeport in 1991, his law firm, "Tacopina & Seigel" is based in Manhattan. He has defended the former head of the New York Police Department, Bernard Kerik, actor Lillo Brancato, Italian sailor Chico Forti, and Joran van der Sloot, who was the suspect in the mysterious disappearance of the Natalee Holloway...
 
@EmilioPisanty One thing that might be good to know is that if you can get $F$ to be homogeneous (and with non-zero differential at 0) then you're in really good shape
 
3:16 PM
@Danu as in, a homogeneous polynomial?
nope
 
yes
 
reasonable examples are above, lemme find them
5 hours ago, by Emilio Pisanty
wait, simpler version. $$H(k) = \begin{pmatrix} 2 & -k & 0 \\ -k & -2 & k \\ 0 & k & 0 \end{pmatrix}$$ with characteristic polynomial $$ E^3 -2(2+k^2) E +2k^2=0$$
also
6 hours ago, by Emilio Pisanty
and $$ E^2 = 1+ k_x^2+k_y^2$$
 
what are teh complex variables here?
 
all of 'em
 
$E,k_x,k_y$?
 
3:18 PM
@Danu yes
 
and $k$ is the norm?
 
@Cows he’d better make some good music now
Waiting for DC5
 
@0celo7 yeah I'd be looking out for his music.
 
@Danu also if you can swap out $k^2 = k_x^2 + k_y^2$ on that first one
 
3:19 PM
yeah, right
 
$$H(k) = \begin{pmatrix} 2 & -k_x\pm ik_y & 0 \\ -k_x\mp ik_y & -2 & k+ik_y \\ 0 & k-ik_y & 0 \end{pmatrix}$$ to be definite
Though to be clear these are local approximations at the avoided crossings in the band structure of a material. I want to understand those first but ultimately I want to be doing things like $$H(k_x) = \begin{pmatrix} 1 & 3\cos(k_x) \\ 3\cos(k_x) & -1\end{pmatrix}$$
 
OKay
 
or in 2D $$H(k_x,k_y) = \begin{pmatrix} 1 & 3(\cos(k_x)+i\sin(k_y)) \\ 3(\cos(k_x)-i\sin(k_y)) & -1\end{pmatrix}$$
 
So.. you're interested in what are called affine algebraic varieties (for the polynomial case, at least).
 
ah, shit
remind me
what's the difference between a variety and a manifold?
 
3:27 PM
zero set of polynomial (or multiple poly's) inside $\Bbb C^n$
varieties are not locally homeo/diffeo to $\Bbb R^n$
they may have singularities
 
classic example is $\{(x,y)\in\Bbb C^2\mid xy=0\}$
that's the union of the coordinate axes
which is an affine variety but not a manifold
 
@Danu ?
wrong way round =P
 
lmao yes
 
@Danu so, like the branch points in $\{(x,y)\in \mathbb C^2 \mid y^2 = 1+x^2\}$?
 
3:28 PM
corrected
It's not like branch points; branch points on Riemann Surfaces are not singularities of the surface itself
 
@Danu hmmmm
 
if you just draw the set where $xy=0$ in $\Bbb R^2$ you see this is not a smooth manifold, cause it's a cross
same happens in the complex setting
 
@Danu ah
no
that probably classes as pathological in my setting
 
but there is one good, easy to check sufficient condition for smooothness
namely the "preimage of regular value theorem"
which tells you that if you have a smooth function $F$ (on a manifold such as $\Bbb C^n$) such that $\forall x\in F^{-1}(0)$, $F'(x)\neq 0$, then $\{F(x)=0\}$ will be a smooth manifold
 
@Danu but that fails at the 'branch points' when you project, no?
 
3:32 PM
in the example you gave to me $F^{-1}(0)=(0,0,0)$ and at that point the derivative is nonzero because it is $dF((0,0,0))=4d E$
@EmilioPisanty I'm not talking about Riemann surfaces here
I'm just talking about arbitrary smooth (real) manifolds
 
I don't think that this whole branch point story is very useful in higher dimensions
In any case, so the zero set of that polynomial you wrote down is in fact a smooth manifold
so that's nice
(no need to think about varieties in this case)
 
@Danu ugh
 
You spent a lot of time getting into the whole branched covering story? :P
 
So for me it's relevant (at least in the 1D case) because 'standard' physics only cares about solutions where everything is real, and there you get two disjoint bands, but if you allow the variables to wander into complex values then they can loop around that branch point, at which point the bands swap places.
 
3:37 PM
sure
 
I.e. the two bands are just two different intersections with a single connected manifold.
but the nature of those connections (including e.g. the genus / multi-connectedness) feels relevant
 
sure
but you gotta realize
that in higher dimensions
there are MANY more possibilities than just one infinite family (classified up to diffeomorphism by genus)
 
@Danu wait, one infinite family of what?
 
Riemann surfaces
 
spheres with $n$ handles?
 
3:39 PM
sure
 
aha
great
 
in 2d everything is very very simple
but in 4d everything is IMMENSELY complicated
 
@Danu so yeah, I'd like to get a feeling for what those possibilities are
at least
 
So... even assuming your space is let's say a compact complex manifold
then the classification is already extremely complicated
In mathematics, the Enriques–Kodaira classification is a classification of compact complex surfaces into ten classes. For each of these classes, the surfaces in the class can be parametrized by a moduli space. For most of the classes the moduli spaces are well understood, but for the class of surfaces of general type the moduli spaces seem too complicated to describe explicitly, though some components are known. Max Noether began the systematic study of algebraic surfaces, and Guido Castelnuovo proved important parts of the classification. Federigo Enriques (1914, 1949) described the classification...
But this is a classification up to isomorphism of complex manifolds; I don't know if you care about that. In the 2d case, did you jsut care about the genus?
 
@Danu I'm just lost in a sea of geometry =/
 
3:44 PM
So let's put it this way
given a manifold
 
so, generally, I'm integrating a function along $k$ and I want to deform that path into the complex plane
 
there are tons of different structures it can have
 
and in 1D there's that branch point at which the naive approach breaks down, if nothing else
 
(i) topological, (ii) smooth structure (iii) Riemannian structure (iv) complex structure (v) symplectic structure, etc
 
but in 2D that "point" becomes something much scarier
@Danu what exactly do you mean by complex structure?
 
3:45 PM
do you remember how manifolds are defined in terms of charts?
 
which give local patches diffeomorphic to R^n
and the transition functions have to be smooth, right
 
So a complex structure is an atlas of charts to $\Bbb C^n$ with holomorphic transition functions
 
gotcha
 
3:46 PM
quite restrictive
anyways; let's try to get to the bottom of what your'e interested in
so let's recall the basic story for Riemann surfaces
essentially, if you're looking at the zero locus of $F$, what you do is something like the following
instead of looking at e.g. $F=y^2-x^2-1=0$ you "solve for one of the variables" and look at $y^2=x^2+1$ right
and then you sorta think of this as a graph
 
where $x$ parametrizes the x-"axis" (=a complex plane) and $y$ the y-"axis"
 
yep. With multiple "branches " on $y$.
 
so this thing is not acutally globally a graph, of course, if the algebraic equation is of degree >1
however, if you look at things LOCALLY, it does look like a graph almost everywhere
except at the so-called branch points
where essentially the graph has a vertical bit
 
@Danu what do you mean exactly by a graph?
 
3:50 PM
In the real case, it's really jsut a graph with an x-axis and y-axis
the graph of a function $\Bbb R\to \Bbb R$
now you're in the complex case but you can still get intuition from the real situation
 
@Slereah actually I think I figured it out, thanks :D
 
a subset where if $(x,y)$ and $(x,y')$ are in the graph then $y=y'$?
 
@enumaris Oh hey, you're back
 
Right, so that's the case LOCALLY almost everywhere @EmilioPisanty
 
kinda lol
 
3:51 PM
(so what I mean is if you only allow x to vary a little bit then $y=y'$), except at the branch points
 
@Danu yes
 
OK. So that essentially means that you have 2 separate bands almost everywhere, except when you don't because they cross, and then that's a branch point
 
yes
though at that branch point you could choose some other projection and it would look perfectly regular
 
yes, of course
 
this conversation looks fun
 
3:53 PM
that is to say, the surface itself is not actually singular
oh yes, @Semiclassical is really into this stuff too
 
not sure I can do much right now beyond just listen, though
yeah, I'm the one who pointed Emilio in this direction
 
oh, I see
 
enumaris
enumaris
@Slereah actually I think I figured it out, thanks :D

Emilio Pisanty
Emilio Pisanty
11:50
a subset where if (x,y)
(
x
,
y
)
and (x,y′)
(
x
,
y

)
are in the graph then y=y′
y
=
y

?

Sir Cumference
Sir Cumference
@enumaris Oh hey, you're back

Danu
Danu
Right, so that's the case LOCALLY almost everywhere @EmilioPisanty

enumaris
enumaris
kinda lol

Danu
Danu
(so what I mean is if you only allow x to vary a little bit then y=y′
y
=
y

), except at the branch points

Emilio Pisanty
 
Anyways @EmilioPisanty if I understood correctly, you said that it was interesting to understand what the genus of the corresponding Riemann surface (which is a branched covering of $\Bbb C$ (or $\Bbb CP^1=\Bbb C\cup \{\infty\}$ if you will) is, right?
 
@SirCumference r u ok
 
3:56 PM
@Danu as a starting point, yes
 
OK, and you were hoping to do that in a higher-dimensional case, right?
 
@eulB ?
Oh what the hell
 
stuff like $z^2=f(x,y)$ instead of $z^2=f(x)$, for instance
 
another way to put it is that in the 1D case the branch points will come in pairs, with the branch cuts going from one to the pair, and I can sort of see what that does to the geometry in terms of adding handles.
but if you add a second independent complex variable then all my intuition goes completely woozy
 
(aside from othe case with $f(x,y)$ being homogeneous of degree 2 of course)
 
3:57 PM
copy pasted a big chunk thar
 
I'm not entirely sure what the terminology is in that case beyond just "complex manifold"
obv. it's still an (affine) algebraic variety
 
my deep spell checker is not doing all that great...=/
 
@Semiclassical What's the difference between a variety and manifold
 
A variety is the zero set of some polynomial.
 
@SirCumference met JS’s student
 
3:58 PM
31 mins ago, by Emilio Pisanty
what's the difference between a variety and a manifold?
 
@0celo7 :o
 
@EmilioPisanty Oh wow lol
 
@SirCumference is a bot
 
What's up?
 
bad bot
 
3:59 PM
@eulB why is that surprising
 
it's not
just putting the word out there
stay safe people
 
Haha that is very funny fleshbags fellow humans
 
@EmilioPisanty So in the case where you start with an equation on $\Bbb C^3$, under the condition on the derivative I told you about earlier (in other words, 0 is a regular value of $F$) the set $\{F=0\}$ will be a complex manifold of complex dimension 2
 
A variety is a type of manifold, I think? (Only issue is re: singular points)
 
no
 
4:00 PM
@0celo7 How? Where?
I mean did he go to you or were you over here?
 
Jan 19 at 9:20, by Bernardo Meurer
Oh wow, lol
:o
 
@Danu gimme a few minutes, I need to check on something
 
the singularities are the problem; they're not manifolds in general. But like Isaid, if $0$ is a regular value of $F$ then it's fine and you get a manifold
 
Right, that's what I was getting at
the story is simpler with projective varieties than with affine varieties
 
rob
2
Q: What is the fastest speed you can ride a bicycle on wet roads without getting wet?

iguanitoOptimum speed without getting a line of muddy water splashing onto your back? no mud guards 26 inch wheels surface water on the road calculations to be based on my shirt and shorts remaining dry standard dimensions of an adult bike frame I am riding a bike and the water is being thrown upwar...

A flagger says,
> This question was closed by mistake by people who thought it was the same as the question: 'What is the angle at which water is splashed when a vehicle tyre rides in water on the road? '. It isn't. The latter is about sideways splash while the latter is about water following the bicycle wheel rim it is attached to, as it leaves the road, and then being thrown up behind the cyclist.
I think that's a sound argument but I don't want to reopen unilaterally. Thoughts from this group?
 
4:03 PM
I don't know what I'm saying at this point, I'm so tired
 
dang itttt
 
I forgot to bring my cellphone to work...boring day ahead...:(
 
@SirCumference I will probably meet JS this summer. I can recommend you to him
 
@0celo7 You don't know who I am
 
4:05 PM
You’re the Jewish physicist. Good enough?
 
And I haven't been in his class for two years
Wait no, one year
 
who JS
 
@0celo7 Well considering like half the physics majors here are Jewish (very small physics major here :P), that's not much
Well more like a third
 
half, a third what's the difference to an astrophysicist?
 
@enumaris We're not engineers
 
4:08 PM
if it ain't an order of magnitude, it ain't nothin
 
@0celo7 But please for the love of god back off a bit...
You're getting a bit too personal
 
Trying to help you buddy
 
@0celo7 you're being an obe
 
let's just grant each other our personal space, mmkay
 
but we're all crammed in this room together
 
I've recently watched that one
 
Anyone interested in helping with a tricky resistor circuit problem ? physics.stackexchange.com/questions/402242/…
 
for context, here's the image:
to which my immediate response is... D=
b/c that's just horrifying
 
Well, you can reduce part of the complexity with the usual series/parallel rules for sure, and then maybe more with the star-delta thing.
 
Haha indeed it looks horrifying! All the resistors are 4 ohm and batteries are 10V. It does piss me off when the hint says it is trivial if you have a good eye
 
4:24 PM
But sooner or later it is coming down to a fat system of linear equations. Just the sort of thing for students to do.
 
If there's a trick to it, I'd say it's that you can establish some of the relative voltages by inspection.
So, for instance, take the middle-left junction between the two batteries to be at zero voltage
 
Yeah I've already figured one neat thing : Looking at the outer most loop, current through the bottom most resistor is 0.
 
@Semiclassical Yikes
 
can't see images...
 
4:26 PM
It's like 50 resistors in parallel
 
And if there's no current through that resistor, you can basically remove it from said circuit without issue
 
Or you could just click the question
 
Since the current through the bottom most resistor is 0, is it okay to remove that resistor from the circuit ?
 
So if I had a pencil I'd write down the voltages along the edges and start eliminating resistors which have no current across them
Hmm
 
Ahh nice looks you read my mind ;)
 
4:27 PM
You can definitely replace the resistor by a wire in that case
 
@rsadhvika Do note that this isn't a homework help site
 
But you may want to leave that wire in place because it tells you that two nodes connected by it are at the same voltage
 
I can't see any images anywhere
my browser blocks like most of the servers
 
the other nice thing is that you can get some of the voltages of nodes inside the circuit rather than just on the outside
so that may let you figure out a lot of them right off the bat
my guess is that you'll end up with a lot of the resistors having zero current across them etc
 
someone draw the circuit using ascii characters in a comment, kthx
 
4:29 PM
i'd be lying if I said I had the patience myself for that right now, but with a pencil it shouldn't be hard
@enumaris nothxbai
 
Yeah looks some of the resistors in the mid section can also have 0 current. I'll give it a serious try once again..
 
I think if you trace the voltage changes then you can find the voltage drop across the four-resistor subcircuit which includes the one you're interested in
 
Just a quick question, when the current through a resistor is 0, should we remove the resistor, or replace it with a wire ?
 
replace it with a wire, I'd say
 
that essentially means joining both the nodes @enumaris I have a link to the image if it helps ?
 
4:36 PM
Do you know some good online sources which shows simulation of how angular velocity is added in 3d ?
 
right. the point is that, if they're at the same voltage, then you can effectively merge them
without losing any info
 
I can't access it...probably can't help you on this one, sorry D:
 
I think, though, that doing this may be unnecessary. What I'd suggest is this
 
if the current is 0, remove that whole circuit element...don't create a short circuit!
 
Start from the bottom left corner, and take that to be zero voltage.
 
4:37 PM
No worries @enumaris semiclassical gave some new hints which I'm going to try..
 
Then trace the voltage throughout the rest of the circuit, just by looking at the orientation of the batteries you pass over. you should be able to get to the node just above $i$ in your diagram
once you've got that, you've effectively reduced it from a many-resistor problem to a four-resistor problem with a known potential difference
 
Is it just me or is the toolbar (at the top right of the page) broken on the main site?
 
@JohnRennie Broken in what way?
 
3 mins ago, by Alex K Chen
Do you know some good online sources which shows simulation of how angular velocity is added in 3d ?
 
@ACuriousMind The icons have changed to simple links instead of opening menus.
 
4:40 PM
angular velocity adds like a vector...that's why it can be represented as a vector...
 
@JohnRennie They do that sometimes before the page has finished loading. Does this also occur for you on the fully loaded page?
 
@ACuriousMind So for example there is now no link to this chat room on the main site.
 
@JohnRennie opens up menues for me
 
works fine for me
 
@ACuriousMind yes, or at least the page claims to have completed loading. This is in Chrome. Let me try IE ...
 
4:42 PM
Works fine in FF for me
 
I'm in chrome
works fine
 
Ah, it works in IE. So Chrome is playing silly buggers then
 
maybe ur chrome...
 
@JohnRennie yeah in Chrome chat link is not showing on the main page, it shows if you go to a question page..
 
Ah, just closing all instances of Chrome then relaunching it has fixed the problem. Oh well, one of those things.
 
4:49 PM
@rsadhvika I know how to solve it. The answer is 4A upwards
 
yeah, I think that's right as well
 
@rsadhvika It follows really easily by choosing two inner loops that have all but one resistor
 
@Subho95 What is your strategy ?
 
eh. i'd say it's more that they have to deal with a lot of questions and that doesn't inspire patience
I wouldn't call it good by any means but i can see how it happens
 
@rsadhvika Let me point out the two loops by using some good old paint...
 
4:54 PM
@rsadhvika What makes you feel that way?
 
3 messages moved to trash
Please don't call people jerks in this chat room
 
given that my message doesn't have context now, I'd ask it to be moved as well
 
@Subho95 thank you, I'm waiting... this is not really my homework. So you don't have to feel guilty of helping
 
1 message moved to trash
@Semiclassical done!
 
4:59 PM
"John Rennie has invited you to Trash"
 
quick screenshot, before that solution is moved to trash
 
I know why that happens, but its funny
 
:-)
 
your solution isn't going to be trashed.
 
do your thingy @JohnRennie
 
5:00 PM
this isn't the main site. the policies here are to do with respectful communication not with the integrity of Q&A
 
@rsadhvika there's nothing wrong with discussing homework and/or worked examples in the chat room. In fact there is a chat room specifically set up for precisely that purpose.

 Problem Solving Strategies

General chat for high school physics. For MathJax see [here](m...
 
the point is not to cast shade on the mods
 
(or anyone else)
 
Okay this is my first time chat so forgive my kindly
 
well, doing so with the mods is a particularly perilous venture :P
 
5:03 PM
Our mods are kinda superheroes
 
eh, they're people
they make good decisions and bad decisions
 
@rsadhvika I'm happy to respond to criticism more concrete and constructive than calling us jerks.
 
(I personally find the Be Nice policy to be silly and over the top, but that's what's enforced and I (usually) abide by it)
 
Brilliant! @Subho95 Calling that center node 0 did the magic! May I ask how many hours you have spent before spotting that center loop with a single resistor ?
 
@Danu Well, that took longer than expected, but I'm back
 
Sid
5:18 PM
@Semiclassical nested parentheses are just... wrong
 
@Sid they're not. Nested parentheses are (normally, of course (but not always)) perfectly OK.
 
As long as you close all you open, nothing wrong with nesting them. If you don't, however...obligatory xkcd 1, obligatory xkcd 2
 
@ACuriousMind I do like our moderators. The ones I've encountered are rly nice and decent ppl. Again this is my first time in chat here... I didn't use "jerk" to hurt you intentionally. I see it is not the right word to express sarcasm
 
@ACuriousMind is that all you're going to quote?
 
Sid
@ACuriousMind gah. You beat me to it
 
5:21 PM
@EmilioPisanty If I try to post every Lisp joke Randall ever made I'll be doing this for a while :P
 
'cause, I mean, this is also obligatory.
in this setting
 
Ah, right. I guess I don't relate to that one so much because the second alternative looks so obviously correct to me :P
 
Is xkcd a stackexchange user ?
I was crawling through chatrooms and saw this feed room full of his comics posted by an account "xkcd"
 
@ACuriousMind I guess as time goes on and you become more acutely aware of double-chin as something that happens to people you might change your mind
@AvnishKabaj no. It's just the fact that if you post a message that only consists of an xkcd url it will automatically onebox
look
 
@AvnishKabaj You can give names to automatic feeds, they just told the room to post things from the xkcd RSS feed and named the feed xkcd
 
5:24 PM
Aaah
It would have been cool if he was a user
 
Sid
I wonder if there ever was an xkcd comic on Stack Exchange...
 
@Sid The alt-text of this one refers to SO.
 
@Sid 979
 
@rsadhvika One of the comments struck me to think along those lines.
 
You
You've just figured it out ?
 
5:28 PM
@rsadhvika Yeah. It took some 10 mins
 
https://imgs.xkcd.com/comics/wisdom_of_the_ancients.png
Selected Comics
2
 
@AvnishKabaj well, there's this if you want a poor substitute
it does include this remarkable screenshot
 
Amaging! what must I do to have some of your quick reflexes ?
 
@EmilioPisanty Old topbar <3
 
@EmilioPisanty nice
 
5:34 PM
dangit latex
what am I doing wrong
for reasons of time management I decided to go back to the thebibliography environment, since most of my references were from papers that had used that format
and since I was using \include to do the chapters, I figured i'd be able to \include the bibliography in a similar manner. but no joy
...I wrote \include{bibltemlist} when I meant \include{bibitemlist}
(first l should be i)
ffs that was annoying
 
5:53 PM
@ACuriousMind meh
 
6:24 PM
meh
 
6:48 PM
mehhhhhh
 
classic
 

« first day (2730 days earlier)      last day (2201 days later) »