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00:17
@enumaris distributed queues are where it's at!
1. Put things in queue
2. Pull from queue on N machines for processing
Need stateful processing? Stick events in a new queue!
00:40
seems like MPI doesn't really do queues..
I dunno
00:52
Well I was thinking of other queue implementations, but wouldn't a queue be a uh...interface to pass a message?
I've never actually used MPI though
well MPI sends and receives messages, I don't know if it maintains some centralized queue
I don't think so
at least maybe not "normally"
Yeah looks like it may be pretty low level. But it walks like a queue and quacks like a queue, so good enough for me
01:11
If it walks like a duck and quacks like a duck, then it must be a duck!
01:35
maybe...
01:52
has duck typing ever been wrong?
not to my knowledge
I dunno what you could call a queue from what I saw of MPI tho lol
it's just processes sending messages to each other
It was mostly a joke, but if something can send and receive messages, I'd just call whatever is between them a queue!
Send someone a text message? The phones and cell network must be a queue!
It seems like a slightly flawed way of thinking of it with that example
02:36
@enumaris MPI doesn't have a built-in queue. You could build one, if you wanted, using the MPI commands though.
I've done it for a master-slave system, where a central server determined the work needed and farmed out chunks to it as nodes became available. The nodes asked for more work, got the next part, sent the result back, then asked for the next chunk to work on
yeah I'm sure you could build a queue with it..
The queue bit was just using the Queue module in Python
And then the MPI part just had the master pull the next bit from the queue and fire it off to the slave
right
hmmm
03:00
anyone here familiar with photogrammetry?
03:44
Is the cross product of space and time equal to infoentropy?
04:22
@Ultradark no
that's like...a lot of buzz words in one
maybe the cross product of space and time is equal to quantum shannon infoentropy
 
4 hours later…
08:29
Hm
I guess that whole automorphism business makes more sense if I consider first the map between the bundles, then apply this to the original section
ie x(t) becomes f(x(t)), g(t)
And then replace $t$ by g(t) through some inversion process
As Mark said
that sounds like the thing indeed
After all it's just a graph in the bundle, no need to think of it as a function just yet
09:06
Apparently the autmorphisms associated with coordinate changes are called external automorphisms
Fairly good article on the topic, btw
Although a bit rushed
But I assume it's for people who already know most of this
 
2 hours later…
10:48
@ACuriousMind help
11:37
0
Q: Extended objects, bundle description and transformations

SlereahIn the hope of trying to come up with a clear mental picture for what a transformation is in physics, I encounter some difficulties due to the variety of objects that appear in physics. While no picnic, the notion of transformations in field theory seems fairly straightforward, with the automorph...

 
2 hours later…
13:22
@EmilioPisanty Got any clever ideas for this one? It's a weird integral which G&R doesn't cite a source for
1
Q: Evaluate $\int_{-\infty }^{\infty } \left(\cos \left(\sqrt{x^2-1}\right)-\cos \left(\sqrt{x^2+1}\right)\right) \, dx$

Fengshan XiongFrom Gradshteyn&Ryzhik 3.692.6 we know that $$\int_{-\infty }^{\infty } \left(\cos \left(\sqrt{x^2-1}\right)-\cos \left(\sqrt{x^2+1}\right)\right) \ dx=\pi (J_1(1)+I_1(1))$$ Where two special functions on RHS is the original/modified Bessel function of the first kind (see here and here for their...

@Semiclassical The source was drinking vodka in a cabin in Siberia
as you well know
right, how foolish of me to forget
I suggest you do so until you find wisdom
i'd say it's too early in the day for that, but i guess that reveals me as insufficiently russian
13:40
the internet doesn't seem to have photos of Gradshteyn and Ryzhik
They remain a mystery
ancient soviet wizards
there's apparently a math professor called Lenya Ryzhik
I wonder if he's his son
13:56
Does the space of all embeddings have a name
ie for a manifold $\Sigma$ and $M$ with embedding $\iota : \Sigma \to M$, is there a space such that $\iota \in C(\Sigma, M)$
Obviously a subset of smooth functions between the two but not quite just that
14:55
@Slereah topological embeddings or smmooth ones
Let's say smooth
@Slereah Hirsch writes $\mathrm{Emb}^r(M,N)$ for $C^r$ embeddings $M\to N$
Could someone figure out how a spirit has two indices like this identity?
$\left( \sigma ^ { \mu } \right) _ { \alpha \beta } \left( \sigma _ { \mu } \right) _ { \gamma \delta } = 2 \epsilon _ { \alpha \gamma } \epsilon _ { \beta \delta }$
@RyanUnger thx
Good old Hirsch
15:12
I mean spinor not spirit
It's too late
Now we all think of the spirit of the Pauli matrices
My phone is rendering my words to mindless
Also there are no spinors there
Those are pauli matrices
@Slereah I mean I cannot think of these matrices $\sigma^{\mu}_{\alpha \beta}$ as spinor components?
They're not
It's a map
15:20
In P&S identified these two indices as spinor components
$$\sigma : S \times S \to TM$$
It maps spinors to vectors
It's essentially a solder form
Well it is a linear map on spinors, yes
so it does have spinor components
For example if look at sigma zero which his the identity matrix. What is the component one two of sigma zero? Is it zero?
Ok
M y phone could not recognise latex
15:44
@Slereah I'll look at it tomorrow, I'm playing cards this evening and won't have time
16:05
@ACuriousMind What game
16:15
Skat
18
Does anyone know why they simply use j = l+s without considering the direction of the vectors?
because what they're really 'adding' are just the vertical components
so $J_z=L_z+S_z$
the rest is just a visual way of depicting that the length of $\vec{S}$ would be $s(s+1)$ etc
16:56
@Student404Mus that is a completeness relation for 2 by 2 matrices, the Pauli matrices and $I$ form a basis for the space of 2 by 2 matrices, it's usually written in terms of $\delta$'s by raising the spinor indices on one of the terms on the LHS. It comes up in deriving Fierz identities. P&S say prove it by taking cases (which is nuts), there is a better derivation of it in Ryder's QFT.
17:31
bam bam
18:11
Could you please help me with this expression that uses Fierz id. I couldn't find a way to exchange the two indices $\nu\lambda$ in the second line

$$
\begin{aligned}\left(\overline{u}_{1 L} \overline{\sigma}^{\mu} \sigma^{\nu} \overline{\sigma}^{\lambda} u_{2 L}\right)\left(\overline{u}_{3 L} \overline{\sigma}_{\mu} \sigma_{\nu} \overline{\sigma}_{\lambda} u_{4 L}\right) &=2 \epsilon_{\alpha \gamma} \overline{u}_{1 L \alpha} \overline{u}_{3 L \gamma} \epsilon_{\beta \delta}\left(\sigma^{\nu} \overline{\sigma}^{\lambda} u_{2 L}\right)_{\beta}\left(\sigma_{\nu} \overline{\sigma}_{\lambda} u
In addition, the id. has two components whereas the above expression has one $\beta$
 
1 hour later…
19:14
@Slereah
 
2 hours later…
20:45
@SirCumference Could you give us a hint?
20:55
Ako si doshul da mi sa praish, brum brum murdai
21:07
@Student404Mus something like
\begin{align}
( \overline{u}_{1 L} \overline{\sigma}^{\mu} \sigma^{\nu} \overline{\sigma}^{\lambda} u_{2 L} ) (\overline{u}_{3 L} \overline{\sigma}_{\mu} \sigma_{\nu} \overline{\sigma}_{\lambda} u_{4 L}) &= \overline{u}_{1 L \alpha} \overline{\sigma}^{\mu}_{\alpha \beta} (\sigma^{\nu} \overline{\sigma}^{\lambda} u_{2 L} )_{\beta} \ \overline{u}_{3 L \gamma} \overline{\sigma}_{\mu \gamma \delta} (\sigma_{\nu} \overline{\sigma}_{\lambda} u_{4 L})_{\delta} \\
&= [ \overline{\sigma}^{\mu}_{\alpha \beta} \overline{\sigma}_{\mu \gamma \delta}] \overline{u}_{1 L \alpha} (\sigma^{\nu} \overline{\s
Fierzing is frustrating
3
wowzah
21:24
@bolbteppa I appreciate your answer very well! But I'm sorry if this expression is all written by your own hand!
No worries, P&S are full of these one liners that take ages to expand!
but now it is clear.
I think all where I have stuck is in fifth line (compact spinor expansion)
Anybody on
22:16
@Student404Mus Please look at the top post on the star wall
22:44
wooah the UI is almost completed for the demo and it looks really nice :D
the system returned the speed of light in ft/s instead of m/s though...now my soul hurts...
T_____T
Is the speed of light important for ML now?
23:08
the system is an open domain question-answering system
so I just asked it "What is the speed of light"
and it gave back...983571056 ft/s...kill me now...
it's a metric system!
er, imperial
Or maybe light is like a bullet since that's about the only thing I know of being measured in ft/s
It found the answer to my question from this article: en.wikipedia.org/wiki/Data_mile
what a weirdo
the speed of light article on wikipedia says: The speed of light in vacuum, commonly denoted c, is a universal physical constant important in many areas of physics. Its exact value is 299,792,458 metres per second (approximately 300,000 km/s (186,000 mi/s)[Note 3]).
The system would have to perform coreference resolution on that second one for "it"...and that's probably why the system didn't choose that passage of text for extracting the answer...
funky
23:30
Too bad it didn't come up with 1ft/ns from that article
the system is purely extractive
it can't return with abstractive answers
answers must be spans in the source text
but it could have returned "one foot per nanosecond"
never "1ft/ns"

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