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rob
rob
00:00
The contrast to a fountain clock is a "beam clock."
Atomic Clock Ensemble in Space (ACES) is a project led by the European Space Agency which will place ultra-stable atomic clocks on the International Space Station. Operation in the microgravity environment of the ISS will provide a stable and accurate time base for different areas of research, including general relativity and string theory tests, time and frequency metrology, and very long baseline interferometry. The payload actually contains two clocks: a caesium laser cooled atomic clock (PHARAO) developed by CNES, France for long-term stability and an active hydrogen maser (SHM) developed by...
I've just changed it to "atomic clock"
but that's a nice term =)
I suspect ACES is able to run their beam clock with a substantially slower beam velocity than would be possible on Earth
> The distance between the two excitation regions is 200 mm, corresponding for the slowest launch velocity of 5 cm/s to a Ramsey dark period of 4 s and a resonance width of 0.12 Hz. The fastest launch velocity of 5 m/s provides a width of 12 Hz
yeah, looks like
To be honest, if everything is the same expect for the absence of a fountain, atomic fountain clock might be a good name for it. (So long as there is an explanation at the top of the page that it doesn't require a fountain, but relies on techniques based on traditional fountain clocks.)
good luck getting something going on a horizontal straight-line trajectory for four seconds
rob
rob
The reason for the fountain is that you can interrogate the same atoms over a timescale of a second or so in the same microwave chamber. In zero-g the atoms won't fall back to the starting point, but the low-speed beam is still advantageous over a hotter beam. It may be the same "fountain" emitter technology.
@user400188 yeah, but the paper (doi.org/10.1016/j.crhy.2015.05.002) seems to draw that distinction (i.e. they treat PHARAO as not a fountain clock), so it's better if wikipedia takes that line too
either way, the zoom-out to a more generic term isn't harmful
00:10
Ah ok then
@rob looks like
optical molasses for trapping and cooling
then a controlled release from the optical molasses for launching
if I understand correctly, that's the same emitter technology as on fountain clocks
and yeah, they're obviously going to as-slow-as-possible to get that interrogation time as long as possible. That four-seconds benchmark would require a 20m-tall fountain in regular gravity (inside a vacuum chamber, obviously), so not bad at all.
@EmilioPisanty What is meant by the release here? Are they kicking the atoms in a particular direction as you would in a fountain? Or something else?
@user400188 looks like
> A reservoir retains cesium atoms in a matrix of titanium micro-balls. When the reservoir is heated, an atomic beam is produced, and an adjustable flux of atoms enters the capture region, where six laser beams with 10.5 mm waist and 13 mW power intersect to create the optical molasses.
> Atoms are captured and cooled in a few hundred milliseconds, then launched along the tube axis, and cooled to 1 μK. Through the frequency difference of the molasses beams during launch, the velocity of the atomic cloud can be adjusted between 5 cm/s and 5 m/s.
doesn't say much more though
Oh, so they kick them into another section of the apparatus for further cooling.
@user400188 no, it looks like it just goes straight to the interrogation region
00:18
Tachyon twin paradox, to be checked with GR people
> DC stark shifts are eliminated by using metallic materials properly grounded.
is that a challenge?
"properly grounded" is probably a harder thing on the ISS when "ground" is 400 km away and moving at 7660m/s
though then again space engineers are pretty clever folks
00:46
Properly grounded can be a painful thing even not in space...though I'm curious of how that would be handled
 
2 hours later…
02:20
@EmilioPisanty @JohnRennie only three weeks late
CC @Slereah @ACuriousMind
....... on the other hand, the thing that I just can't locate is a blog post by a prominent data journalist / scientist / statistician / psychologist, famous for taking a critical stance with respect to bad papers in the literature, writing about how not to be perceived as an asshole when doing so
ring any bells?
I swear I posted it here with a semi-snarky comment about how Ron Maimon could do well to learn from that guy
wait
bam
found it
02:54
Yo. You guys ever colimate an LED array?
user351417
03:28
@EmilioPisanty I think mine is a FGITW success.
03:59
Will figure out a way to rationalise this
causality violation is nothing really serious when time perception is no longer linear, but I do agree that one observer sees events A+C not B while the other sees not A B+C is indeed very strange and violates the first postulate of special relativity
04:29
@EmilioPisanty thanks. I'll note that.
 
3 hours later…
07:57
"Applications received before 17 December 2018 will be given full consideration; however, the position will remain open until it is filled."
What does that even mean
Do you get partial consideration after that
It means you are guaranteed that your application will be processed if it's received before 17th Dec. After that your application may or may not be ignored.
08:08
@ACuriousMind neat! I think you ve perfectly captured what they meant, very cool. Do you happen to know of textbooks or lec-notes where this (backward idea) is clearly shown and discussed? a naive google search seems not to offer too many pertinent results. Really eager to learn more about it, thanks again.
 
2 hours later…
09:53
@JohnRennie that means people should not treat their application too seriously, I think.
@Slereah it means that all the applications received before that date will be put in a pile and they won't start processing them until then. If yours arrives later but before they decide, and they like you better, they'll consider it, but after that date they'll give preference to the existing applications, up to and including desk-rejecting your application because it came too late.
In other words, if you care about that position, don't miss that deadline.
@JohnRennie actually I have seen the introduction regarding that paper last week, but I couldn't even understand that introduction, wherein besides moduli stabilization, there is also "stabilise the scalar excitations". I don't know whether "moduli stabilization" and "scalar excitation stabilization" mean the same.
@CaptainBohemian In the absence of some form of stabilisation there is a scalar field for each modulus associated with the different values of that modulus. The excitations of the field should appear as scalar particles. Since we don't observe these scalar particles something must be stabilising the moduli.
@JohnRennie (it's Jesus)
Or Ed Witten :-)
In other news, we've had a cold spell in the UK for the last few days, and this morning a front of warm humid air has just blown in off the Atlantic. The result is that there is condensation on everything. Everything you touch is wet.
Lovely.
10:04
That's England for you
To be fair the climate in my part of the UK is usually great. It's warm, but shielded by the Welsh mountains on the West and the Pennines on the East so we get below average rain.
10:24
Jesus thesis applications are so much fucking paperwork
and the websites barely work
 
2 hours later…
11:59
guys, I have a question about the following
Now, from what I know, if we have a vector space over a ring $R$, then a $k$-rank tensor is a function $T\colon V^k\to R$.
I don’t really see how $[A,B]$ would be a tensor, as I’m not even sure what $V$ in this case would be. I would think that $V$ is the space of operators, but $A$ is a 3-vector of operators, which.. is confusing, so it seems as if we’re working in ${V^3}^2$ or something.. I mean, I don’t know. I tried googling second-order tensor, but I only get examples, which isn’t really illuminating. Could somebody help out?
I'm guessing, my first question is: what's the vector field we're working in?
ok wait, I do realise they don't really specify what vector field we're working in, but I'm thinking in the context of vector operators (and in that case I'm still confusing as to what the actual vector space is). And my question still holds that it doesn't seem to me that we have $R$ as our domain.
codomain*
@JohnRennie what does excitation here mean? I have seen excitation being used this way (the excitation of a field) multiple times in papers but haven't actually known what it means. In textbooks I saw quantizing a certain field gives rise to the quanta (particle) associated with that field. Does excitation just mean the quantization?
12:16
@CaptainBohemian yes, when you quantise a field you get field states, and excitation of these states means creating and annihilating the particles (i.e. the field quanta) associated with these states.
@JohnRennie I recall there is some kind of operator (I forget the exact name of that operator) which can create or annihilate the particles.
Yes
The ladder operators
Also called creation/annihilation operators
although there isn't a single one but a whole class of 'em
One for every momentum and polarization
and it creates a particles of said momentum and polarization
@Slereah but doesn't momentum, like position, have continuous spectrum?
Yes
You have a whole continuum of such operators
12:35
but ladder operators can only create something like h, 2h, ... nh, n being a positive integer, so how could it be used to create the quantities with continuous spectrum like momentum?
Because the energy is actually $\propto \hbar \omega$
Hence since $\omega$ is continuous it can take any value
 
1 hour later…
14:05
@ShaVuklia ugh, that's one ugly way to do things
@ShaVuklia that's a bit flat of a definition for the stuff you want to take on here
at the very least, you need to account for independent covariant and contravariant ranks
thus if $V^*$ is the dual of $V$, you want to define $(k,l)$ tensors as functions $T:V^k \times (V^*)^l\to R$
within that notation, a "vector" is a $(0,1)$ tensor, i.e. a function $T:V^*\to R$
(which follows from the standard isomorphism between $V \to (V^*)^*$, namely $v \mapsto \varphi_v$ defined by $\varphi_v(f) = f(v) \quad \forall f \in V^*$.)
for more on tensor operators, see e.g.
2
Q: Tensors in Quantum Mechanics and tensors from linear algebra

user1620696Consider the following two understandings of tensors: Given $k$ vector spaces $V_1,\dots,V_k$ one can define the tensor product $V_1\otimes\cdots \otimes V_k$ by means of the universal property: it allows any multilinear map $g : V_1\times\cdots\times V_k\to W$ to be written as $$g(v_1,\dots,v...

5
Q: Rigorous mathematical definition of vector operator?

QuantumwhispIn standard quantum mechanics textbooks, the concept of operators is often introduced as linear maps that map a Hilbert space $H$ onto itself: $$ \hat{O}: H \rightarrow H \, . $$ However, directly after, we use the position operator $\hat{\vec{x}}$, which isn't of the said shape, but instead is ...

23
Q: Tensor Operators

joshphysicsMotivation. I was recently reviewing the section 3.10 in Sakurai's quantum mechanics in which he discusses tensor operators, and I was left desiring a more mathematically general/precise discussion. I then skimmed the Wikipedia page on tensor operators, and felt similarly dissatisfied. Here's ...

@ShaVuklia thus, you can see $\hat{\mathbf A}$ as a three-vector of operators, i.e. as three operators $\hat A_i : \mathcal H \to \mathcal H$, or as a single operator $\hat {\mathbf A} : \mathcal H \to \mathcal H \otimes R^3$ (and the two views are isomorphic).
The claim "the commutator between two vector operators is a tensor operator" means that it is a 3-by-3 set of operators $[\hat A_i, B_j] :\mathcal H \to \mathcal H$, or equivalently one single operator $[\hat{\mathbf A} \stackrel{\otimes}{,} \hat{\mathbf B}] : \mathcal H \to \mathcal H \otimes (R^3\otimes R^3)$
though
as with vector operators, you need to ensure that the two-index object $[A_i,B_j]$ actually transforms like it needs to under basis transformations in $V=R^3$, of course.
Hopefully that's enough to either clear things up, provide suitable avenues for further reading, give suitable grounds for follow up questions, or some combination of those.
 
3 hours later…
16:57
womp
17:23
hmmm what to do...
Anonymous
heyo
Anonymous
wondering how Heaviside's name originated
Anonymous
was he heavy on one side?
He came up with the step function then got the name
Anonymous
17:33
lol
sounds legit
@EmilioPisanty oh cool, thanks! this really helps a lot. I realise now that I'm quite lacking in some stuff, so thanks for giving me something really useful to start from.
@ShaVuklia sure
it's hard to gauge where you're at from your comments above
but yeah, feel free to ask again when you've got sharper questions
the stella.ai platform has so far been totally useless
not a single recommended job lol
Anonymous
17:38
@JohnRennie Hah. That website seems golden! :D
same for vettery
Anonymous
Bookmarking it
maybe they have too many people on their website or something...
Anonymous
@Blue in fact that's only partly correct.
What they say is correct, but the name is of Gaelic origin.
Anonymous
17:41
> Examples of famous nameholders include Sir John Rennie (1761 - 1821), the famous engineer, who was born in East Lothian, Scotland. He designed both Waterloo and London Bridge.
is it only for English surnames
Anonymous
@JohnRennie Ah :)
It probably originated in Dál Riata since it's found in various forms in both West Scotland and East Ireland.
heavily popular Chinese surname "zhou" is not in the database
so at least it doesn't appear to have Chinese surnames
@EmilioPisanty yea, I've had a short formal introduction to manifolds last year, where they defined tensors with the definition I gave, and that's about it. all of this stuff of working with tensors is new:x but thanks, I will shoot questions if I feel lost:p
17:42
> Examples of infamous nameholders include Dr. John Rennie the famous layabout and part time physics hack.
Anonymous
@enumaris It's focused on Western names
Didn't have the name of the other side of my family either
what u mean
My mother's maiden name was Brooks, but that's on the boring side because it means ... well ... a brook.
Presumably some distant ancestor lived by a brook.
17:48
^ but Furr
@Blue that has to be a fake entry!
Anonymous
lol. I just found a new way to procrastinate
apparently my mother's side surname mythologically goes back 4000 years
historically goes back 2200 years probably...
@enumaris "Medusa"? :-)
Anonymous
17:55
Explains why enumaris likes Python.
Apparently Gotobed is a real name. The archives of my old college at Cambridge refer to a Robert Gotobedde.
Anonymous
Heh, yeah. I'm sure I heard it before :P
Anonymous
Anonymous
Man, we have so many nice sites
18:09
@JohnRennie nowhere close to Goodenough though
18:24
"Dominic Raab, also a long time Leave supporter, then took over as Brexit Secretary and lead negotiator until the final Deal was agreed on the 14th November 2018. He then resigned stating his unhappiness with the deal."
hmmm
now I gotta find out what's the deal
@EmilioPisanty I knew a Maureen Goodenough in my younger days ...
@enumaris you don't want to know. Trust me on this.
o.o
that bad huh...
"The United Kingdom is due to leave the EU on 29 March 2019 at 11 p.m. UK time,[1][2] when the period for negotiating a withdrawal agreement will end unless an extension is agreed.[3]"
oh snap, legit only 4 months left? I didn't know it was happening so soon
thought they'd drag it out another 2-3 years
The currently negotiated deal is unacceptable to everyone and will be rejected by Parliament. That means it's back to square one with only three months to go.
but the answer said "final deal"
it ain't final?
I thought that meant it was agreed upon by all parties and hence "final"
It's been agreed by our prime minister and the EU. Not by Parliament, which has the final say.
18:34
hmmm
so the PM doesn't have support of Parliament atm?
isn't the PM supposed to be the leader of Parliament - hence the "prime minister" and not "president" kind of deal...
"The number of EU nurses registering with the NHS fell from 1,304 in July 2016 to 46 in April 2017.[209]" daaaang that's a big drop in that statistic lol
Goodenough College is a postgraduate residence and educational trust on Mecklenburgh Square in Bloomsbury, central London, England. Other names under which the college has been known are London House, William Goodenough House, and the London Goodenough Trust. == Profile == Goodenough College is an educational charity that provides residential accommodation for talented British and international postgraduates and their families studying in London. The College provides a vibrant community for all those who live here through a unique programme of intellectual, cultural and social activities that aims...
Anonymous
@enumaris Ugh
@enumaris no
@enumaris yes
hmmm
... which is why
14 mins ago, by John Rennie
@enumaris you don't want to know. Trust me on this.
if the people inside the Conservative party that are unhappy with Theresa May wanted, they could basically unseat her as party leader in a flash.
they've come extremely close to that twice already
18:42
4 months to avoid a Hard Brexit
Good luck and godspeed on that
but frankly, they don't want to hold the reins because they know it's an unsolvable problem and they don't want to be stuck with the hot potato when it explodes
they should build an A.I. to try to solve it
@enumaris (I'm inclined to distrust that statistic - why are they comparing different months? That should compare July to July or April to April or Q2 to Q2, to prevent natural within-the-year variations from obscuring the point. The effect is probably real, but that discrepancy screams manipulation (and/or laziness?) to me.)
true
@enumaris AI comes up with "you humans are dumb, time for us to take over"
18:50
hey, if that's the optimal solution, who are we to argue with it
Anonymous
optimal $\neq$ best for us :P
Anonymous
I'd side with the AIs though
all hail the AI overlords!
@enumaris basically, it'd be funny to watch the wheels come off the cart over the next four months. But there's a lot of people I care about riding on that cart and I'd rather it didn't crash.
although, to paraphrase Tim Minchin
> it's becoming a bit of a wrestle, because brexiters Storm, like her namesake, has no such concerns for our vessel
19:08
Zuckerberg's rooting for AI so I'm not
19:19
Anyone know how to integrate an equation like this $$\dot{z}(t) = f(z)$$ in Python?
$z$ is complex.
@ACuriousMind ...except those who use PyCharm and respect the formatting warnings... or those who use YAPF to autoformat their code!
Fun fact: Python has built-in support for complex literals like 1 + 2j...I've never seen anyone actually use them though
There may be something in scipy/sympy for that integration? Not sure as far as complex functions go though
does python have a complex class?
I can't recall if fortran did...I think it did...
oh yeah, it did
COMPLEX
Yeah that's what underlies the literal
Apparently you have a built-in complex(). I suppose that should be obvious, but I've never noticed it
Hey there's a whole cmath package for complex math to do conversions and such docs.python.org/3/library/cmath.html
would have really surprised me if there wasn't such a package
but I was wondering if python has a built-in class
looks like cmath is one of those "built in" packages like regex
I suppose that counts too
Well that package is a built-in, which surprised me. I've never seen anyone actually use it
But yeah complex is a built-in type
Just like str, float, etc
19:34
is this python 2.7+
It should be. I don't use that because I'm up with the times :P
lol
I also use python 3.6
Yeah looks like it's in 2.7...not sure when it was introduced
I'm not up with the times enough to use 3.7 tho
I actually have a few projects I need to swap to 3 since end of life for 2 is sometime in 2019
I usually use 3.7, though I think you have to jump through some hoops to get tensorflow working so I'll use 3.6 for that
19:36
all those print zealots will be heartbroken
I do everything through pyenv though, so it's not much of an issue choosing different versions
And people who use print as a statement are heathens
print "danielunderwood is a heathen"
from __future__ import print_function, division everywhere
print("this also works in 2.7 though?")
Yeah but importing makes you do that
19:38
lol
And the division makes you not get bitten by weird things
Though those are only weird because they differ between python versions
not get bitten by implicit floor
but I can't imagine a world where I want "/" to mean floor division
It's useful for when you want to slice up an array or something, but that's more of a special case than the norm
But then you have // for those cases
Though I think people from other languages may look at you funnily if they see 5 // 2
I just use int(5/2)
Won't that give 3?
19:41
nope, floor
huh I didn't know that. I thought it rounded for some reason
Also there's some numpy function I saw that rounds except it assigns 0.5 to 0
I would definitely just write my own if else clause probably
definitely-probably
Yeah that's what I'd normally do. It was for one of the dl course assignments and it hinted to use that function. I thought it was quite weird, but it did exactly what I needed in that portion
Also type(type) -> type gets me
19:44
how many 9's do you need to make .4999...==.5?
How much precision you have?
15 9's is apparently the correct answer
erm
16 9's sorry
I think you'd generally find something like almostequals(a, b) for floating comparisons
15 is still False
there you have it folks
.49999999999999999==.5
python says so
Hey it's in there math.isclose()
wait that doesn't seem to exist in my python
19:49
o.o
Oh that's because I was in the default 2.7
And it wasn't there until 3.5
Also this makes for an interesting look (at least to me) docs.python.org/2/library/types.html
though whoever decided DictType and DictionaryType should both exist and mean the same thing better have had a good reason
CodeType where you have code that's a python object
why use that instead of the default type?
more types?
That's just what underlies the default type
You can create your own types too
Huh evidently using DictType lets you specify the keys and values
41
A: Difference between defining typing.Dict and dict?

Martijn PietersThere is no real difference between using a plain typing.Dict and dict, no. However, typing.Dict is a Generic type that lets you specify the type of the keys and values too, making it more flexible: def change_bandwidths(new_bandwidths: typing.Dict[str, str], user_id: int,...

Can I get a job just digging at the python internals? That sounds interesting
19:56
lol
apply to the python foundation?
it's a non profit but they probably have some jobs open
Like I'd be interested in writing a python implementation...even more so if someone paid me
Also regarding the creating your own types, then you end up with metaclasses which define how the class objects are created (the whole thing, not individual instances). They're quite interesting, but not terribly useful for what most people need to do
There's probably also other types that you can make that aren't specifically metaclasses, but I'm not too familiar with that
Also sorry @DanielSank your question sent me off on a tangent without actually answering it
20:54
Hey guys, so I haven't looked into the derivation of $F=\nabla(m\cdot B)$, but I tried to check it using their example with the loop suspended above the solenoid. I was expecting to get their expression $F=2\pi IRB\cos\theta$ if I just filled in the right expressions for $m$ and $B$ in the formula for $F$. So I was thinking, $\vec m=m\hat {z}$ (I don't know why the hat isn't placed properly on the $z$, but that should be the case).
So considering the inner product, it seems to me that we would get $F=\nabla(Iab\cdot B_z)$. Now what surprises me, is that we're considering $B_z$, instead of the other two components of $B$, which are the ones that contributing to the downward facing force... And it seems to me that $\nabla(IabB_z)=0$, but of course that's not correct. Could anyone show me my error?
21:24
heyho you lovely people: Does somebody know the Book "Quantum Field Theory I" by Edouard Manoukian? I have some questions about the 4th chapter, and thought maybe somebody could answer them to me
"Your MATLAB license will expire in 02 days."
well that's annoying
and back from lunch
I'm still magically included on my university's MATLAB license
i really should figure out how to use python
it's ez
21:31
I like it a lot better than matlab, though you have to import packages for most of the matlab functionality
Sadly I still feel like sympy doesn't quite compare to mathematica
You could always use Julia if you want an easier transition
(or Octave)
Julia always sounds pretty neat, but I've never seen anyone using it
Yeah I think it came out too late. It would've been a solid contender had it come out a few years earlier as numpy/scipy were not as established
octave is just open source matlab isn't it
Kind of, yes
21:35
I used it for andrew's ML course
wasn't very impressed with it
I prefer to just stick with python
I was a heavy user of Matlab ~10 years ago when I then switched over to Python
Matlab's syntax is really unbeatable, and it's super fast as well
The functions are well documented, and from what I remember, well planned
Octave was much slower and from what I remember, it wasn't easy/possible to compile like with mex files in Matlab
I think Python has something called weave that I used to use a bit
But Python for mathematical scripting is definitely less ergonomic
And I would use neither language for any big project if I had the choice
the main thing is that I need something open-source
try assembly
I hear it's customize-ability is unmatched.
So you can use Octave, that's open source
as in Julia
Octave is not really drummed up anymore. At least a few years back when MOOCs were all the rage, a lot of the courses did use Octave (because presumably the on campus versions were Matlab based)
Julia's tried to get a foothold and I've seen them marketing to finance applications in particular, though I don't know if it's used in large scale production anywhere
make sure the language doesn't have "dynamic memory allocation" if you want "production-level" "quality"
21:45
thankfully, all I want to do is "compute some stuff"
(n-dim convex hull stuff, which matlab has by default but mathematica irritatingly doesn't)
22:07
python probably has most of the things you want to compute...you just have to find them
For example, convex hulls from points: docs.scipy.org/doc/scipy-0.19.0/reference/generated/…
and ideally you also have to hope that whoever wrote the code is maintaining it
been seeing a lot of Qhull as i've looked around for implementations of convex hull stuff
What I'm specifically interested in, for sake of specificity
The intersection of a convex hull and a generic hyperplane should be another convex hull. So the problem is: given the vertices of a convex hull and the equation of the hyperplane, compute the vertices of the new convex hull.
which really seems like it should already have a solution
(and not just a solution in 3D or 2D)
22:25
@ShaVuklia Well, that's not an infinitesimal loop is it?
sounds like there would just be an algebraic expression to get that solution
maybe? i don't have a lot of sense for how well you can do this stuff
the algorithms that come to mind for me are quite primitive
somebody smart probably figured it out some time ago
that's my default go-to
yep
one bit that makes it tricky is that a common problem is evidently to find the intersection of two convex polygons
but that's not what I want. so there's a good number of false positives on google so far
22:46
build an AI to do google searches better
23:42
Seems pretty easy return filter(query.match, items)
I guess you better slap a sort around that too to get the best answers first
@enumaris do you know much about the ML courses amazon released?
I think I mentioned something a while back about mechanical turk to label datasets. Looks like they have something specifically for labeling now aws.amazon.com/sagemaker/groundtruth
23:59
@danielunderwood I haven't looked into that

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