The h Bar

user228700

14:30

@JohnRennie Yayy! :-D

John Rennie

@Kaumudi.H Hi :-)

user228700

Hi! :-)

user228700

How goes it? How was the drive and all? Is ur house all dusty now?

John Rennie

Apart from a massive pile of junk mail inside the front door you wouldn't know I'd been away for two weeks :-)

But ... it's good to be home!

user228700

Ah :-)

user228700

14:33

@JohnRennie Yay! :-)

John Rennie

Though I'm going to miss my Mum's cooking.

user228700

Oh, yes :-(

user228700

At least now it will be easier not to eat everything though.

John Rennie

I weighed myself when i got home and I was 69.9kg.

When I left I was 65k.

5kg in two weeks!!!

user228700

^ YES!! :-o

user228700

14:35

Your mum must be one hell of a cook!

John Rennie

On Friday she made the best kedgeree I've ever tasted!

user228700

::Googles "kedegree"::

user228700

> Kedgeree is a dish consisting of cooked, flaked fish, boiled rice, parsley, hard-boiled eggs, curry powder, butter or cream and occasionally sultanas.

user228700

Oh, wow, that's a lot of stuff!

John Rennie

The name comes from kitchuri.

Balarka Sen

14:38

@Kaumudi good luck on trip to darjeeling

user228700

@JohnRennie Ah, I see...

John Rennie

The dish originated in the days of the Raj as a variant of kitchuri.

user228700

@BalarkaSen :-( Are u mocking me? I'm broke at the moment.

Balarka Sen

not well-informed on the news i see

user228700

@BalarkaSen Not at all.

Balarka Sen

14:39

google darjeeling news

user228700

Sigh. What's going on there? ::Googles::

user228700

MONTH LONG BANDH?!?!

Balarka Sen

"See you on Darjeeling"

John Rennie

What does bandh mean?

user228700

@BalarkaSen Wtf, man? It was a mistake trusting you -_-

John Doe

14:43

@Mithrandir24601 Hi, are you at all familiar with the concept of a 'typical sequence' in information theory?

Anonymous

Can someone suggest me a Classical Mechanics book suitable for self-study? I checked goldstein but it seem all the problems are unsolved in it.

Balarka Sen

@Kaumudi It's one of my favorite scenes from one of my favorite horror films.

Anonymous

@JohnRennie It means a strike during which shops and transport isn't functional

user228700

^ YES. Strike! That's the word I was looking for!

John Rennie

Aha, thanks.

Bandh

Bandh is rooted in Sanskrit word 'Bandhana', meaning "a bond". Also used in a Urdu word meaning "closed". It is a form of protest used by political activists in South Asian countries such as India and Nepal. It is similar to a general strike. During a bandh, a political party or a community declares a general strike. A Bharatha bandh is a call for a bandh across India, and a bandh can also be called for an individual state or municipality. Often, it is going to be the best community or political party declaring a bandh expects the general public to stay in at home and not report to work. Mo...

Balarka Sen

14:45

indeed

user228700

@BalarkaSen Damn.

Balarka Sen

Maybe I was lying. It's still a damn good movie.

user228700

@BalarkaSen I had the better fortune to watch another scene from the movie and nope, it's a bit too gruesome for my taste.

Balarka Sen

lol

It is body horror. A genre which isn't for everybody, but can communicate ideas no other genre of film can.

user228700

@BalarkaSen How so?

Balarka Sen

15:01

Well, per se, I suppose not many horror directors actually exploited this genre - most of non-Cronenberg movies boiled down to slasher, which is like, action movie with a lot of blood.

But the point of the genre is to inflict horror from bodily transformations, and Cronenberg at least uses it symbolically.

user228700

> uses it symbolically

user228700

Guess I'd have to watch the film but I don't want to subject my brain to more of what I just watched >.<

Balarka Sen

haha. well, the scene you just watched (i don't know what the other one is) is basically a violent hallucination

His artistically best movie from this genre is unquestionably Dead Ringers, which is not very violent, but I am not sure if many people are comfortable with the subject matter

user228700

A violent hallucination? Oh, wow, I see.

Balarka Sen

(Videodrome is not artistically significant, but contextually awesome)

SBM

15:04

hallucinations? scary

user228700

@BalarkaSen Oh, I see...

Balarka Sen

The popular joke is that Jeremy Irons won Oscar for Dead Ringers, just on the next movie he did :P

Avantgarde

I want to make a movie named 'Canceling the d's in dy/dx'

Balarka Sen

I would watch that movie.

Avantgarde

Thank you. I knew I could count on you

SBM

15:13

@Avantgarde Fallacious title

user228700

I would too x'D

SBM

I'll also go watch it.

Avantgarde

:')

Canceling the d's in dy/dx: The return of the genius

Mostafa

@Avantgarde I'm gonna pirate it

Avantgarde

It's ok. It's an independent movie made just by me. I give you all them rights

Mostafa

15:18

String theory debunked in 50 seconds:

What Is Reality?

►

Avantgarde

lol the second comment goes "What's with all the drama?"

some youtube comments are precious

John Rennie

@Avantgarde It would have to be an 18 certificate. You couldn't risk impressionable young mathematicians being corrupted by such extreme material.

Balarka Sen

hahah

Avantgarde

hehe

Balarka Sen

the new X-rated movie which divides by 0

Avantgarde

15:27

The sequel is widely believed to be a horror

Balarka Sen

exploitation film brah

exploiting the fact that Z isn't a field

Avantgarde

going down in history for being a very bold, experimental film back in the day

Anonymous

@Avantgarde Any idea about a good self study book for classical mechanics (with solved problems) ?

Anonymous

I saw goldstein but all problems in it are unsolved

Anonymous

Is L&L series good?

Avantgarde

15:39

Yes, it's a hard book too. That's the one I used. And lecture notes.

It's supposed to be, yeah. Though I've never studied from them

Anonymous

@Avantgarde Do you recommend any other book?

Anonymous

And is the solution manual for goldstein available?

Avantgarde

Unfortunately, I don't know about classical mechanics/field theory books other than the 2 above. Not sure about Goldstein solutions either; you should google and check

Maybe look for some pdf lecture notes on classical mechanics.

on the internet

Mostafa

@blue It must exist, and you can pirate it.

Anonymous

@Mostafa I found one....it has only solutions for 3 chapters (on libgen)

AccidentalFourierTransform

15:43

Avantgarde

hahaha

SBM

@AccidentalFourierTransform haha

Balarka Sen

go away dude

-+++ is the right one

Mostafa

Hi @Accident

Avantgarde

No way!

AccidentalFourierTransform

15:45

sup

Avantgarde

-+++ is the only correct one here

SBM

@AccidentalFourierTransform supremum of?

Balarka Sen

inf

Mostafa

NaN

Giskard42

@Avantgarde isn't that just += 2?

AccidentalFourierTransform

15:47

Avantgarde

@Giskard42 eh?

Giskard42

-+++ is +=2

Avantgarde

O_o

Giskard42

(sorry, C operators.)

Mostafa

@Giskard42 Yeah that's true

Avantgarde

15:48

oh god

lol, I don't remember my C anymore.

SBM

@Giskard42 not only C but almost anything

Giskard42

@SBM with the exception, for some damn reason, of python.

Every time I switch languages that trips me up

SBM

@Giskard42 And Pascal

I don't like switching languages unless I need to.

Giskard42

@SBM me neither, I'd rather be lovingly caressed by a Python ad infinitum, but it's a job requirement :)

Balarka Sen

i like programming with a pen and a paper

SBM

15:53

@BalarkaSen that's the best

no syntax no rules just plain fun

Giskard42

@BalarkaSen I like programming with a steady hand and a magnetized needle.

SBM

but no complex stuff

Balarka Sen

you can also make... doodles!

Giskard42

I also like programming with rocks xkcd.com/505

@BalarkaSen Huh, since graphite's conductive, I wonder if you could actually program with pencil and paper

Given a suitably doped graphite pencil

Balarka Sen

Very nice xkcd

Giskard42

15:57

Now I've got this image of Bob Ross making AND gates on a canvas "Now just use a little bit of p-doped paint here, use what comes natural...a happy little flip-flop there"

5

Balarka Sen

lol

Jaime Gallego

KOHCTPYKTOP: engineer of the people

Design commie half-adders

Balarka Sen

@Avantgarde Best music I have heard in a while

Giskard42

@JaimeGallego That's pretty darn cool.

"Papers Please for people who want to be that much more nerdy."

SBM

@BalarkaSen huh

Avantgarde

16:06

@BalarkaSen this is gold

SBM

oh

Avantgarde

Donald Trump Bing Bong - Remix Compilation

►

Giskard42

@BalarkaSen I am infinitely disappointed that there's no We Are Number One in there

Avantgarde

oh my god, this is even better youtu.be/ynslyx0G0Vs

Balarka Sen

I cracked at the Mario tune

Avantgarde

16:12

same

Giskard42

@BalarkaSen Not quite in the same spirit, but youtube.com/watch?v=93fqlzu9pqk

Balarka Sen

lol Thomas & Friends

Giskard42

@BalarkaSen NSFW: youtube.com/watch?v=ETfiUYij5UE

Balarka Sen

hah

Avantgarde

We Are Number One but it's borked by Gabe the Dog

►

Giskard42

16:20

@Avantgarde My favorite version of that: youtube.com/watch?v=VhqeNUFCyI0

Danu

in Mathematics, 33 secs ago, by Danu

Does anyone here happen to have access to the book "Global Riemannian Geometry: Proceedings of the symposium held at the University of Durham, Durham, July 1983. Edited by T. J. Willmore and N. J. Hitchin."? I am really interested in obtaining (scanned copies of) certain chapters.

Sha Vuklia

Guys, why do they choose $R_2=-50$ to be negative? As far as I know, we have to determine whether the surface is convex or concave, and in the case of the planar-convex lens, I would say then that $R_2=+50$?

Avantgarde

@Giskard42 I didn't get the reference very well, but this series is hilarious

SBM

oh

Balarka Sen

This is also very good, but not relevant to the meme-series

pretty much whatever from that channel is dank

Avantgarde

16:29

lol

Giskard42

@BalarkaSen I recommend we now rename this chat room "The Meme Bar".

Avantgarde

ive never seen trump not in a suit

Balarka Sen

we never discuss physics in hbar aaaanyway

Giskard42

@Avantgarde He's been caught on camera getting out of a suit - though it was in court

:P

John Rennie

@ShaVuklia this article on Hyperphysics provides a nice explanation.

Slereah

16:32

lol hyperphysics

I was reading this site 15 years ago

Giskard42

I thought that was going to be a meme page for some reason.

Slereah

I don't think it has changed at all since

Balarka Sen

I should have spent my day doing something productive. Oh well.

Avantgarde

@Giskard42 lol

Slereah

It's still in glorious HTML

Giskard42

16:33

@Slereah It's basic in design and badass in content

Avantgarde

it's quite nice though

Giskard42

Sometimes I wish more sites went that way

Slereah

A lot of physics websites are like that

Because physicists, being academics, have used the internet since the olden days

Giskard42

Sometimes you go to a resource and it's a 10 Mb Bootstrap-enabled CSS-heavy HD-asset page for two paragraphs on Newton's Method

Sha Vuklia

@John thanks

Slereah

16:35

So a lot of their websites were made in the 90's

Giskard42

It's refreshing to find a page you can actually wget

Avantgarde

man, the people who made these memes are quite creative I must say

Balarka Sen

what do you mean? it's the aesthetics. this is postmodern art.

Giskard42

@Avantgarde Oh man, spend some time around me_irl on reddit and you'll be blown away

@Avantgarde reddit.com/r/biomememes/comments/5ypuba/…

Avantgarde

lol

Giskard42

16:41

@Avantgarde reddit.com/r/surrealmemes/comments/6bh0nh/your_prescription

Avantgarde

I'll check that reddit thing out

Balarka Sen

Ok, I'm done. I should do real work now.

Giskard42

@Avantgarde

Avantgarde

Lol! the first rule is "All posts must be surreal"

why have i never seen this before

Giskard42

@Avantgarde reddit.com/r/surrealmemes/comments/6f6zx3/a_story_about_a_door

@Avantgarde reddit.com/r/surrealmemes/comments/5zevkb/…

Ah, found my favorite. reddit.com/r/surrealmemes/comments/66p0ws/…

@Avantgarde

Jaime Gallego

16:46

Avantgarde

heh, very creative.

Thanks for this valuable link, @Giskard42

Giskard42

@Avantgarde One more excellent resource: reddit.com/r/hmmm/top

(I'm sorry.)

Avantgarde

lol seriously?

Giskard42

Speaking of things in the oven, my vacuum chamber is almost golden brown now

Physics Meta

0

Q: Can my question be reopened?

I asked a question which had a problem that the Hamiltonian was not Hermitian. However, after thinking about it for some time I managed to make the Hamiltonian Hermitian. While it may still have problems I think it can be re-opened at least. Hamiltonian that can produce random primes?

ACuriousMind

16:55

@Giskard42 Hmmm

Giskard42

The concept of having the baseplate to a vacuum chamber in my family's oven is infinitely amusing to me, though less so to my mother

The recipe's quite tricky, you have to make sure the Delrin doesn't caramelize.

Mithrandir24601

17:15

@JohnDoe Never heard of it...

Bernardo Meurer

18:34

@Sanya "I talk about topology in the hbar because ACM knows topology, not the other stuff I work on" - @0celouvskyopoulo7

AccidentalFourierTransform

18:55

@ACuriousMind halp

sanity check please

the Killing metric of $\mathrm{SO}(1,n)$ is therefore unique, right?

cuz the only invariant subalgebra is $\mathrm{SO}(n)$

Sanya

19:08

@BernardoMeurer :D

ACuriousMind

@AccidentalFourierTransform I don't understand what "invariant subalgebra" has to do with it being simple - the full classification of simple Lie algebras does not involve the Lorentz algebra, so it's not simple, so the metric is not unique.

AccidentalFourierTransform

hmm but its semi-simple

ACuriousMind

yes

AccidentalFourierTransform

so acc. to the text, there should be one arbitrary constant per simple factor

and $\mathrm{SO}(1,n)$ has only one simple factor, right?

or does it?

ACuriousMind

No, I don't think so

AccidentalFourierTransform

19:12

hmmm

ACuriousMind

It being semi-simple means it being the sum of simple algebras, and it not being simple means there's more than one.

Lozansky

Has anyone here dabbled with numerical relativity?

AccidentalFourierTransform

@ACuriousMind argh

nothing makes sense

FML

I h8 you

(thank you anyway, sweety)

Danu

19:28

@AccidentalFourierTransform It isn't so bad: Do you understand why simple Lie groups admit a unique bi-invariant metric up to scaling?

AccidentalFourierTransform

I mean, I know that. But I don't think I understand why.

Danu

@AccidentalFourierTransform OK. Do you want to go through it?

AccidentalFourierTransform

I probably don't know enough group theory to understand it :-P

im just a kid

Danu

You need zero group theory

It's geometry

AccidentalFourierTransform

then lets do it

Danu

19:32

So do you know the definition of a bi-invariant metric? :P

AccidentalFourierTransform

yep

Danu

So what is it?

AccidentalFourierTransform

well, $g(p,q)=g(Xp,Xq)$, right?

Danu

Where $X$ means what?

AccidentalFourierTransform

an element of the Lie Group, $X\in G$ and $p,q\in TG$

Danu

19:36

Okay

That doesn't quite work

but you're headed in the right direction

Maybe I'll introduce a bit of notation. Say we have a Lie group $G$; all of its elements $g$ induce natural self-diffeomorphisms $L_g$ and $R_g$, left- and right-multiplication by $g$.

AccidentalFourierTransform

uh-huh

Danu

Then, as usual with diffeomorphisms, there are the induced maps on the tangent bundle $D_h L_g$, $D_h R_g$ and those can in turn be used to yield maps on tensors (if you don't have a metric, just on $(0,k)$-tensors I guess) by pulling back, i.e. defining $(L_g^* T)_h=T_{gh}\circ D_h L_g$ and similarly for $R_g$

So there is now an obvious notion of left- and right-invariance for tensors: $L_g^*T=T$ $\forall g\in G$ and similarly with $R_g$

Does this all make sense?

AccidentalFourierTransform

yep

so basically I missed the * before

Mostafa

@Lozansky I guess KyleKanos can help you.

Danu

So what is a bi-invariant metric? Well, a metric which is both left- and right-invariant.

AccidentalFourierTransform

19:43

right?

oh right

Danu

Well, $X$ (my $g$) does not even act on tangent vectors

and you seemingly wanted to only mention left-invariance; that's not enough.

AccidentalFourierTransform

yes, I forgot about the right :-P

Danu

But it was in the right spirit anyways

Now, do you know how to produce left-invariant metrics?

AccidentalFourierTransform

let me think

:-(

I swear I used to know

Danu

Okay, so maybe some philosophy is in order

AccidentalFourierTransform

19:45

I have forgotten most of my diff. geom.

darn

Danu

Why are Lie groups so nice?

Or topological groups in general?

AccidentalFourierTransform

they define a differentiable manifold?

there are plenty of reasons I guess

Danu

Because you can do mostly anything you like at a single point and "push it around" to get global statements. The pushing is guaranteed to preserve all structures (smooth, or topological, whatever category you are working in)

AccidentalFourierTransform

ah yes

Danu

There are many incarnations of this philosophy

(i) representation theory can be essentially reduced to that of its Lie algebra

AccidentalFourierTransform

19:47

good ol exp

Danu

(ii) For topological groups, Hausdorff is equivalent to $T_1$, which is equivalent to $\{e\}$ being a closed subset (oddly specific example that I happen to know)

(iii) the tangent bundle of a Lie group is trivial

All consequences of the homogeneity of groups

Anyways

Given this, can you find the application of this philosophy?

(to be clear, the exercise is to determine the left-invariant metrics on a Lie group)

Any guesses?

AccidentalFourierTransform

it has to be something about the algebra

Danu

A metric is an inner product on each tangent space

What does the homogeneity suggest?

AccidentalFourierTransform

I dont know what homogeneity means in this context :-S

you know what? I feel like I'm wasting your time lol

Danu

What it does is suggest that perhaps an inner product on a single tangent space will contain all the data you need

AccidentalFourierTransform

19:54

how about we continue this conversation after the summer?

I'll have some free time

Danu

Don't worry---this is only taking so long because I choose it to :P But if you're not interested, then we can forget about it.

Mostafa

@Danu I don't know why when I see the word Hausdorff I suddenly think of @0celouvskyopoulo7 discussing some topology stuff with ACuriousMind....

(sorry for the interruption)

AccidentalFourierTransform

@Danu something about Killing vectors

and geodesics

Danu

I'll give you the main results you need:
1. Left-invariant metrics are in bijection with inner products on $T_eG=\mathfrak g$.

2. Same goes for right-invariant metrics.

3. Bi-invariant metrics are in bijection with inner products on $\mathfrak g$ which are *invariant under the adjoint action* of $G$ on $\mathfrak g$.

@AccidentalFourierTransform You're being way too fancy.

There is a priori no metric, so no Killing nothing, no geodesics

4. Simple Lie algebra is equivalent to (or the definition of, depending on who you ask) being irreducible under the adjoint representation.

5. Incarnation of another philosophy: Schur's lemma. This tells you that any two inner product invariant under an irreducible representation of a group must be proportional.

AccidentalFourierTransform

so to find a bi-invariant metric you only need to know its action at $e$, right?

Danu

19:58

Conclusion: Simple Lie algebra/group means there is only one (up to scale) bi-invariant metric.

@AccidentalFourierTransform What does "its action" mean? You mean it is determined by an inner product on $T_eG$? Then yes, by the above, it is given by a special kind of inner product on $T_eG$.

AccidentalFourierTransform

ah yes, that's what I meant

and that's where the $\mathrm{tr}(\mathrm{ad}_X\mathrm{ad}_Y)$ comes from

Danu

It is not hard to check that the Killing form on $\mathfrak g$ is invariant under the adjoint action, indeed.

You have to be careful though

You may be confusing $\operatorname{Ad}$, the adjoint action $G\curvearrowright \mathfrak g$ with $\operatorname{ad}$, the adjoint action $\mathfrak g\curvearrowright \mathfrak g$.

It is the former that determines whether you get a bi-invariant metric.

(but the latter appears in the definition of the Killing form)

AccidentalFourierTransform

anyway, as I was saying, I'll have some free time this summer

what should I study?

my main options were differential geometry, CFT and string theory

what should I do?

Danu

Depends on your aims

AccidentalFourierTransform

I dont have aims

also, @Danu you are a mathematician

so you will probably tell me to study maths

ACM say sumfin

Bernardo Meurer

20:09

@dmckee @JohnRennie Do y'all miss my spam of C questions yet?

Mithrandir24601

@AccidentalFourierTransform Not string theory ;)

dmckee

@BernardoMeurer That would imply that I want to think about pointers. Which I don't most of the time.

AccidentalFourierTransform

@Mithrandir24601 y tho

a lot of people seem to like it

it might be nice

idgaf about phenomenology

Danu

You should try to find concrete aims in order to decide what to study

Mithrandir24601

20:25

@AccidentalFourierTransform One reason: A lot of people want to do string theory because it's 'cool' or 'popular and therefore amazing' (i.e. they've heard of this thing called string theory that claims it solves a lot of problems - whether or not it actually does isn't my point) and so go off and study string theory without actually knowing what areas of theoretical physics they actually like or are good at. Meanwhile there are loads of areas of theoretical physics that are amazing and often ignored a lot more

AccidentalFourierTransform

well, to me it's more about recreational physics

so if it is actually fun - as a lot of people claim - then its fine for me

it's not that I think it solves problems, or that I could be good at it

it's just for fun

Mithrandir24601

@AccidentalFourierTransform If you look properly at various areas of physics and go 'oh, this is interesting' and it ends up you looking at string theory, then fair enough, especially if you just want to have a look and see what it's like. One of my friends actually started going into string theory before luckily realising that he didn't like it (just before starting a PhD...), so changed track completely. So it is nice to know whether you like it or not

AccidentalFourierTransform

yeah, that's kind of my point: I want something to study this summer

so I wont be able to get into the details

I just want a taste of it

Mithrandir24601

so... What do you enjoy?

AccidentalFourierTransform

otoh, if I studied diff.geom. then I would get into the details

diff.geom would be useful, ST would be for fun

@Mithrandir24601 pizza

@JaimeGallego hey how did your exams go?

Jaime Gallego

20:30

Still with them

AccidentalFourierTransform

selectividad right?

Jaime Gallego

Nope

That's next year

AccidentalFourierTransform

oh right :-P

Bernardo Meurer

@dmckee I only think of pointers

Jaime Gallego

@BernardoMeurer I have an exam on pneumatic circuits tomorrow. It's basically logic gates with air, you would like it.

Bernardo Meurer

20:32

I hate circuits

AccidentalFourierTransform

all my circuits

Jaime Gallego

And on Tuesday, Biology. ::runs away screaming::

AccidentalFourierTransform

ah, the Calvin-Krebs cycle

good old times

Mostafa

@AccidentalFourierTransform damn, this whole discussion (people telling AFT not to go into string theory, and his answer I just want to learn its basics for fun) reminds me of von Jolly's advice to Planck against studying physics, and Planck's answer that he just wants to study the fundamentals for fun....

ACuriousMind

@AccidentalFourierTransform I think I'd go for CFT

Jaime Gallego

20:35

@Mostafa Holy shit

AccidentalFourierTransform

@ACuriousMind so, no pure maths?

Jaime Gallego

AFT is bound to become an angry German then.

ACuriousMind

@AccidentalFourierTransform Well, if you wanna do pure math, then do pure math

AccidentalFourierTransform

idk

CFT could be fun - it's something new

ACuriousMind

But in the "math for fun" department, differential geometry does not rank highly on my list

AccidentalFourierTransform

20:37

but pure maths could be useful

ACuriousMind

I think CFT is pretty fun even if you only learn it superficially, because it's so much "nicer" than general QFT

Danu

@ACuriousMind Really? Surprising

I guess it depends on what you call differential geometry

Mostafa

@ACuriousMind CFT = classical field theory?

Danu

I don't like the analytic parts too much

ACuriousMind

No, conformal field theory

@Danu My sentiment precisely

Danu

20:38

Which do tend to be quite prominent in certain parts

Mithrandir24601

And let's be honest - how much string theory are you going to be able to learn in ~3-4 months?

ACuriousMind

Some of the results are nice, but I don't like the general style of reasoning

Danu

But I'm generous and call all topology of manifolds differential geometry too ^^

That makes it into the best field ;)

ACuriousMind

@Mithrandir24601 Since AFT already knows QFT quite well, he should be able to make decent headway

...so many FTs

Danu

In any case, it really doesn't have to be all to computational

Mithrandir24601

20:39

@ACuriousMind Fair enough

Danu

Especially complex geometry---no functions or vector fields to work with :D

Mithrandir24601

From my point of view - last year, it got to a point where I could have done a dissertation in error correction, or weak measurements. I was interested in both and thought that error correction would probably be more useful, but weak measurements more interesting to look at for a few months without PhD obligation. So, I did weak measurements and it's ended up being more useful than error correction would have been. I'm not sure if there's a point to that, or if it helps or not though

AccidentalFourierTransform

did I tell you guys? I can eat whatever I want: my pants are invariant under dilatations

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