The h Bar

12:30 AM

@0celouvskyopoulo7 So I have read up to page 16. I don't think I have seen integrals cast this way up in physics text yet. So I take it this is the right way to look at integrals in the language of measure theory and characteristic functions

@0celouvskyopoulo7 Quite interesting I did not know there is this much to just an integral lol

0celouvskyopoulo7

12:45 AM

@Cows It is not, actually.

Their approach is...unique.

Most people think about integrals in terms of Theorem 1.18.

That is, a limit of simple functions.

Sir Cumference

My friend with insomnia sent me this:

> you ever wonder if mirrors can hear us, but can't respond? i mean, if you stand in front of a mirror, your reflection will have ears. what good are ears if not to hear things?

At 4:30am

0celouvskyopoulo7

@Slereah you still here?

Slereah

maybe

0celouvskyopoulo7

Ok, so we have $K=fg+\phi\otimes \phi$, in theory

So we raise an index and have $K=fI+\phi\otimes \phi^\sharp$

Now...what about we pick a basis in which $K$ is diagonal.

Slereah

$\phi^\sharp$ still has the metric components in it, though

So is that really better

0celouvskyopoulo7

12:51 AM

The metric is known

So the question is, can we diagonalize $K$ in some frame in the whole chart?

That's an ACM question

Slereah

I think there's always a transform to diagonalize a symmetric matrix, yes

0celouvskyopoulo7

...

how do tetrads work

Slereah

$\langle e_\mu, e_\nu \rangle = g_{\mu\nu}$

0celouvskyopoulo7

yeah but how do you construct the tetrad

I want to diagonalize $K$ in the coordinate chart

Slereah

take that equation, solve it

I don't know if there's an easy trick to solve it

Just do the usual matrix diagonalization tricks?

That works fine

you will just have functions instead of scalars

Sir Cumference

1:07 AM

Question: I notice on particle physics papers that the experiments usually have dozens of authors. Is it tough for an experimental physicist to stand out?

0celouvskyopoulo7

@dmckee @DavidZ ^

Slereah

Well, do you know any famous experimental physicist?

especially in the field of HEP

Sir Cumference

Well, I am in contact with a distinguished chemist

She mentioned that it's very hard to be a lead author for a physics experiment

0celouvskyopoulo7

@Slereah I got an answer

Also I continued to work on it just now and we both concluded it's not true as stated.

Sir Cumference

@AlfredCentauri Long time no see :)

Slereah

1:15 AM

What about this

Take two vectors $(K_{11} - f g_{11}, 0)$ and $(0,K_{22} - f g_{22})$

And you pick the factor $f$ such that $f g_{12} = K_{12}$

Would that not work

Wait no, wrong product

nvm

I am tired

"On quantum and parallel transport in a Hilbert bundle over spacetime"

What would be the connection of the Hilbert bundle anyway, the propagator?

dmckee

1:31 AM

9

A: Standing out in the era of big science

Primarily by succeeding in the informal respect economy that operates in these fields. He or she needs to impress the people they collaborate with (especially those who work with them daily or weekly) by some set of Playing an active part in a large number of useful side projects and analyses....

Short answer: yes and it only gets worse as the collaboration gets bigger.

Slereah

that's why you should work in theory

all the cool kids do it

"Radiations produced by neutrino-antineutrino annihilation at the $Z^0$ pole can be used to heat up the primary stage of a thermonuclear warhead and can in principle detonate the device remotely. Neutrino-antineutrino annihilation can also be used as a tactical assault weapon to target hideouts that are unreachable by conventional means."

Good paper

Alfred Centauri

@SirCumference It's been an 'interesting' few months. All good here?

Sir Cumference

@AlfredCentauri Yup. How bout you?

Oye, anyone like JS?

Or at least can help me with something?

Alfred Centauri

@SirCumference Getting old is bit of b**ch but otherwise, no complaints.

Sir Cumference

@AlfredCentauri Huh? Your health ok?

Slereah

1:45 AM

"THE 192 SOLUTIONS OF THE HEUN EQUATION"

a fun paper

alan2here

hello, anyone online?

and knows about light

HsMjstyMstdn

@alan2here I can try and help you

alan2here

Could a physical fresnel lens overlay be used to allow several gamers located horizontally across a room to have independent, if lower resolution, full screen views on one monitor?

Thanks majesty :)

HsMjstyMstdn

I'm not sure I understand your question. Are you asking if a split-screen could be made into four separate full-screens so four-player games on a single screen can be played on four separate screens ?

alan2here

yes

a fresnell lense placed/clipped over the top of one monitor

and colums of pixels being displayed apropreatly by the game to devide up the horizontal viewing angle

HsMjstyMstdn

2:01 AM

Well, theoretically yes. You could position four high quality fresnel lenses onto a screen to enlarge the split screen into four "full-screens" but how you'd get the enlarged screen to be somewhere else could need a bit of clever finagling.

alan2here

such that, for example quarters of a typical room would see 4 different images

I think one lense would be enough

HsMjstyMstdn

You mean one fresnel lens to make the whole split screen big and then shine that bigger split screen onto four different areas ?

alan2here

I've seen freznell lenses attached to cardboard that can be tilted to animate an image

this works because the lense alows various images broken up on one image to be directed in different directions.

I've also seen a 3D monitor not requiring any 3D glasses that works in the same way that used a frezness lens

HsMjstyMstdn

Hmm, gimme a second

Let me confirm; you want a single four-way split screen to project in a wide-angle like way such that the four split screens are enlarged into full screens respectively ?

alan2here

I think each pixel on the image behind the lens is broken into an n by n grid of points, each being directed in a dofferent X by Y direction. So the screen is mapped from X, Y, Color to X, Y, Direction_x, Direction_y, Colour. Some X and Y resolution is lost but in return a 2D array of light direction is gained for what becomes equiverlant to each pixel.

HsMjstyMstdn

2:09 AM

Yes, you could "relocate" each pixel to a new place. What you suggest I say is possible but you'd lose "resolution", which is just saying that the image quality is going to drop.

alan2here

in effect yes, it must be possible or those freznell lense animated card things wouldn't work

the reason why I don't think that the drop in resolution would be a big deal is because it's increased so dramatically over the last few years

If it drops from 4k to 1k for 4 players, it's still 1k in X and 4k in Y, which is good enough, certainly an improvement on each player loosing 3/4 of the screen.

HsMjstyMstdn

There are definitely high-quality fresnel lenses out there that can make a split screen big enough that it's full screen for a player but the math is nowhere as simple as 4k to 1k. You have light loss and reflection and rainbow lines (which are common with fresnel lenses), you have dimmer screens and fuzzy edges, etc.

but you'd be right if you meant that if the fresnel lens is of a good quality and the source video is also of high quality, the enlarged screens would be clear

alan2here

:) It's good to know and a shame that more quality is likely to be lost than I calculated.

HsMjstyMstdn

If you're willing to spend more time and effort, I think you'd have a better bet for quality if you tried some kind of emulator or something that takes the software of the game and spits it out onto four actual screens.

You have so many experts on the SE networks that I highly doubt you wouldn't find anyone capable of helping you.

alan2here

It's just an idea :) One of those things that it's crazy that nobody is doing, like retinal painting.

HsMjstyMstdn

2:21 AM

Sounds like a retro-gaming kind of idea, or a retro computer revisit-ish thing to do. I've always thought physical device solutions to things that could also be solved by software were mad cool, like building a battery-powered button presser as opposed to installing an auto-clicker.

alan2here

lol

4 way splitscreen is not great in purely software on a nirmal screen unless said screen is enormous

HsMjstyMstdn

I mean you could take the information output of that fourway split screen and somehow feed it into something that separates it into four cables that you then plug into four monitors. I'm fairly confident this could be done.

alan2here

and you might quite like the android/IOS property that a sausage also has the appropriate properties to successfully tap the screen, as well as a finger, good for a robot to do so

thats true, much less accessible though and much more expensive, users have to buy 3 new monitors as opposed to one lens thats like a plastic sheet, although and possibly change the software too

HsMjstyMstdn

Harder to do, definitely.

Alfred Centauri

2:37 AM

@SirCumference no health problems that I know of other than the usual for an old fart like me. Thanks for asking.

GPhys

3:17 AM

@dmckee This stresses me out, and I'm just a first-year PhD student!

Sir Cumference

@GPhys What uni?

dmckee

@GPhys Everyone starts there. Build up to it. Start building specific skills; perhaps leveraging things you already know or by getting help from colleagues and mentors. Always be on the look out for chances to take a leading role—even if it is just being the one grad student out of three who knows where the cables you are pulling need to be routed. Start thinking about the big picture as soon as you start on a new experiment; ask why things were done this way and not that way.

Find out what the big goal is: not just what are we measuring with this project, but also why do we care enough right now about learning it to spend all this money? Where does it lead?

Joshua Lin

3:38 AM

@Slereah were you saying something about the use of chinese in math?

what does that... even say

ok nvm
so confused

0celouvskyopoulo7

4:38 AM

@JoshuaLin Why would you read that

it's just algebra, not even math anymore

Joshua Lin

4:56 AM

@0celouvskyopoulo7 why not?

whats the difference between algebra and math?

Sir Cumference

@0celouvskyopoulo7 algebra isn't math?

Joshua Lin

i was thinking useless thoughts one day and realised that all definitions of math either fall short on capturing what math is; or "dilate" it so much that everything becomes math

i guess thats true of defining anything though

0celouvskyopoulo7

5:43 AM

@JoshuaLin one is useful, the other is algebra

Joshua Lin

useful... to like physicists or something?

0celouvskyopoulo7

Engineers

Joshua Lin

hate to be the devil but why care about what's useful to engineers

user228700

6:04 AM

Morning! :-)

John Rennie

Morning

A holiday morning, since it's a bank holiday here in the UK

user228700

Ah, yes, I remember!

John Rennie

Though I'm working. But then, that's what I do :-)

user228700

:-) You work everyday!

John Rennie

It's that or lie in bed wishing I had something to do :-)

user228700

6:07 AM

Right :-)

user228700

...contemplating which animal to eat for lunch :-P

John Rennie

It's funny, normally I plan my weekend meals and look forward to them but with an extra day of the weekend, as it were, I find myself uncertain what to do about lunch.

I don't have any immediate plans. I'll probably just wander round the shops and see if anything catches my eye.

user228700

@JohnRennie Hmm, nice :-)

John Rennie

I have to admit that I don't feel terribly hungry having eaten myself to a standstill yesterday.

user228700

x'D "Eaten myself to a standstill" is my new favorite phrase!

John Rennie

6:11 AM

My favourite quote is from Miss Piggy (of the Muppets fame):

Never eat more than you can lift

user228700

x'D That's great advice!

John Rennie

I've been training at lifting heavy weights :-)

user228700

Good man :-P

John Rennie

How are things back in Chennai? Much the same as they were before I guess ...

Oh, while I remember ...

user228700

@JohnRennie The same, yes. I went out to the doctor via train by myself so that was nice! (I greatly enjoy riding the trains here)

John Rennie

6:15 AM

Your laptop has bluetooth built in, but I've never tried connecting bluetooth headphones.

user228700

@JohnRennie Right, I know. I will look for a pair of headphones able to connect to laptops. I'll figure it out after this mess is cleared...

John Rennie

I don't know that much about the different kinds of bluetooth kit, but I believe there have been two revisions of the bluetooth standard since your laptop was made.

user228700

Ooh, I see...

user228700

I'll figure it out after my exam!

John Rennie

Before you spend a lot of money it might be worth checking to make sure they will work.

user228700

6:16 AM

Right, right.

John Rennie

But yes, add this to the (long) list of things to do on that mythical day when all the exams have finished :-)

user228700

Done! :-)

John Rennie

I do know you can can get USB headphone adaptors i.e. plug one end into a USB socket and your headphones in the other end, because a friend uses one.

This sort of thing:

user228700

Ah, OK...

John Rennie

amazon.in/Smacc-Channel-External-Sound-Adapter/dp/B01LZBAUN9

user228700

6:23 AM

Oh, wow, thanks! I will be sure to check it out :-)

user228700

Ooh, it's not costly at all!

John Rennie

That isn't a recommendation - it was just the cheapest I found after a quick look on amazon.in. But it has four good reviews ...

user228700

Wokay. I will do some more research later, then :-)

user228700

Ooh, my sisters are on the phone!

Shing

7:47 AM

I am in lack of a complete quantum mechanics textbook.

I don't like Griffth. (and my prof said Griffith got sth wrong in his QM book)

Slereah

there are no complete textbooks

Shing

any covers all the basic stuffs? (at least undergrad + advanced undergrad)

I am thinking of Townsend's A Modern Approach to QM.

Slereah

depends what you mean by "the basic stuff"

Landau is fine, though it never once mentions Hilbert spaces

Sanya

8:39 AM

@Shing try Ballentine's "A modern introduction to QM"

or "QM - a modern development"

I'm not sure about the exact title anymore

Slereah

9:12 AM

MYGz

9:32 AM

hellooo

Light is emitted when an electron jumps from one level to another. Right?

What happens in plasma?

Slereah

@MYGz Not necessarily light, but yes

in plasma the light is emitted either via electron transitions or just Brehmstrallung radiation

MYGz

hmm. let me check Brehmstrallung.

From a simplistic perspective I thought that photons bounce of objects and we see the object. Can we bounce off photon from an electron to see an electron? Does this even makes sense? :P

John Rennie

@MYGz a plasma radiates mostly by black body radiation. The radiation originates from acceleration of electrons so I guess it is Brehmstrallung although I'm not sure we'd normally call it that in a plasma.

@MYGz photons will scatter from electrons in a process called Compton scattering, but this isn't really electrons reflecting light in the way light reflects off e.g. a mirror.

In general a plasma will radiate more light than it reflects so we would be seeing the plasma by it's own glow.

MYGz

hmm

John Rennie

In principle plasmas will have some reflectivity, but they aren't (normally) dense enough to reflect much.

MYGz

9:49 AM

Thank you Slereah and John. Gave me a better understanding of plasma.
Quantum physics is hard to grasp. I was wondering if it's possible to see an electron.

Slereah

well it depends what you mean by "seeing"

MYGz

Like we see bigger objects for example chair.

John Rennie

1

Q: Why can't we see electrons with our naked eyes?

Why can we not see electrons or any other subatomic particle with our naked eye, without using any apparatus?

Not a great answer though ...

Reflection, in the sense that mirrors reflect, is a collective phenomenon i.e. it requires coherent scattering from many electrons over distances large compared to the wavelength of the light.

If you have a single electron it will scatter light but the scattering is essentially isotropic i.e. the electron acts as a point source for the scattered light.

So if you focussed that light onto a screen you'd just get a featureless point. I guess this is sort of seeing the electron.

Qmechanic

8

Q: Advice on doing physics under the umbrella of mathematics and the converse

In the current scenario of research in QFT and string theory (and related mathematical topics), which of the following would an undergraduate student, like me, be advised to do and why if s/he is interested in both the foundations and pushing the frontiers of these subjects and doesn't differenti...

quantum-field-theory string-theory education mathematics

Primarily opinion-based?

MYGz

Makes sense.
Thanks for the info John.

Mostafa

10:10 AM

@Shing What you're looking for is definitely Shankar's Principles of Quantum Mechanics.

Phase

10:59 AM

DAE use the stackexchange question writing box as a tool to Format things to make going back over and checking easier? if so, nice, if not, is there a better thing for it?

Phase

11:25 AM

Oh, that's a weird experience, just read through some of my questions I asked before, and I guess I had some answers from people in the chat before I encountered them. Spooky

ACuriousMind

11:52 AM

@Slereah What property exactly?

Albert Einstein

Hello @JohnRennie

ACuriousMind

@Phase "DAE"?

Slereah

Oops

It was supposed to be @0celouvskyopoulo7

Not you

Phase

Does anyone else

ACuriousMind

12:09 PM

@Phase I see. There's StackEdit if you want to type SE-style markdown with a preview somewhere other than the question/answer box

Phase

Ah nice

Jim

12:21 PM

why do I always get the fringe physicists commenting on my stuff?

2

ACuriousMind

@Jim Please don't call other users crackpots, regardless of how much you think they deserve it. Also, remember your own advice ;)

Jim

@ACuriousMind well, I can't argue with me. Kudos for playing the perfect strategy

wanna delete my comment?

Sir Cumference

Morning

Jim

@ACuriousMind that works too

Sir Cumference

@AlbertEinstein We used to have your biggest fan here

ACuriousMind

12:29 PM

@Jim I've edited it - if you don't like me putting words into your mouth I could also delete it, though

Bernardo Meurer

@ACuriousMind Is a chess master

But he didn't get me any birthday gifts

ACuriousMind

I'm pretty bad at chess, actually :P

Bernardo Meurer

@ACuriousMind So you're as good in chess as you are in getting me a birthday gift

Jim

Jim's tip #106: Sometimes the only way to win a fight is to deny your opponent the conflict. Telling a fringe physicist or a "new Einstein" every reason why they're wrong feels like a good idea, but remember that they're already a bit gone. If you want to hang on to your sanity, try giving them a logical reason why you shouldn't have the argument and they should accept what you say but without telling them they are right or wrong

AccidentalFourierTransform

You are very wrong and I'll tell you why

Jim

12:33 PM

@AccidentalFourierTransform That means you don't think I'm fringe or a "new Einstein". Yay! This has been a good day!

ACuriousMind

I don't think you're the next Einstein either, @Jim :P

Jim

@ACuriousMind if I'm not the next or the new, am I at least the "previous Einstein"?

ACuriousMind

You can be zombie Einstein, yes

Jim

Still a good day

ACuriousMind

Relevant Abstruse Goose

Slereah

12:36 PM

I don't think I could invent a fridge

Jim

@Slereah if it has to be a practical fridge, neither could Einstein

AccidentalFourierTransform

but he could boil eggs in his soup, so that's something

Slereah

Don't you think it's slightly odd that Einstein and Gödel knew each other, Einstein invented an ammonia-based fridge and Gödel was scared that his fridge was poisoning him

HsMjstyMstdn

@ACuriousMind, you're a chess enthusiast ?

Slereah

I'm not saying Einstein was trying to murder Gödel

But that is odd

ACuriousMind

12:38 PM

@HsMjstyMstdn not at all

HsMjstyMstdn

:(

ACuriousMind

I haven't played chess in...eight years, I think

HsMjstyMstdn

Jebaited by chat again

AccidentalFourierTransform

):

ACuriousMind

@Slereah You may be on to something there

Jim

12:40 PM

@Slereah I AM saying Einstein was trying to murder Gödel

::Clears throat:: Einstein was trying to murder Gödel

Slereah

"But Gödel was not promoted to professor until 1953 — the same year he was elected to membership in the National Academy of Sciences — in part because his expressed fear that poison gases were escaping from his refrigerator aroused continuing concern about his mental stability."

AccidentalFourierTransform

he wanted to take the case to court, but he knew he wouldn't be able to prove it anyway

Slereah

I think Gödel was right all along

Jim

didn't einstein die in 55? 2 years after Gödel became a professor. Clearly, Gödel figured out what Einstein was trying to do and killed him first

Slereah

how did Tesla die

I want to blame Einstein too

blood clot, apparently

"In a box purported to contain a part of Tesla's "death ray", Trump found a 45-year-old multidecade resistance box"

Phase

12:44 PM

@Jim imo worse than 'new einsteins' are the people who just take pop-sci and analogies at face value. I had someone who derided me for talking about electrons and atoms not behaving like planets, and that they don't 'exist' in well defined locations with well defined momentum, quantum behaviour bla bla bla and they instead posted pictures of the bohr model that's taught to high schoolers, and Quotes from neil degrasse tyson about the planet analogy.

They also somehow thought that electrons were a type of light

Slereah

Adults reading pop science is quite possibly the worst thing

Jim

@Phase was their name gabor fekete?

Phase

Nope, is that a joke / reference?

Jim

@Slereah no, adults taking pop-sci at face value instead of understanding that it is a simplification of more advanced things is the worst. Pop-sci is not inherently evil. It should be used as an introduction, though, not as a sole source of info

@Phase yes, but it takes a while to explain

type "gabor fekete" into google. A bit of research on him will illustrate it

Phase

@Jim if you give me the choice between eliminating Malaria or IFLScience... Well... Don't

Jim

12:48 PM

also worth knowing: I am one of the people on his enormous list

Phase

Oh jeez. Sounds ominous

Jim

@Phase I've never heard of IFLScience before now. At first glance, it looks like a big cluster-intercourse of click bait

Phase

Jesus christ

What the hell is wrong with this guy

Jim

@Phase he believes he deserves a nobel prize and that the only reason he hasn't gotten one is because of a conspiracy to prevent it

he has slowed down recently. I'd say I only get 2 or 3 emails from him a month, instead of the 10-20 I used to get

HsMjstyMstdn

@Jim IFLScience usually only features "fun" science that is easily accessible to the general public. It also sometimes employs clickbaity titles to an entire article when what they really want to show could be summarised into a sentence or two.

Phase

12:52 PM

That's funny because it's like someone took all the crackpots about Tesla, redirected their adoration and crackpottery to themselves, and fused them into one human being

Also @Jim your answer that attracted the "new Einstein" or whatever, actually confuses me: shouldn't an account like his [all but one of the things he's posted have been downvoted, the only thing that hasn't is a short question, that then goes into crackpottery] be closed?

Jim

@Phase I love his emails. They're so deliciously transparent, awful, ineffectual, and persistent. If he put as much effort into actual physics that he put into convincing others he deserves the nobel prize, he'd probably have earned a nobel by now

Phase

SE is designed to help propagate useful information right?

Is Gabor an actual physicist?

Jim

@Phase we don't use capital punishment here. There's always the possibility for redemption. A poor user can become a good user some day, but not if we close their account (unless they are constantly being an abusive user)

@Phase No, if you can find his "papers", they're worth a read. Always brighten my day

Phase

Still... Shouldn't there at least be some privileges taken away? Like only being able to ask questions rather than post answers, or something idk

Do you have any links to any?

ACuriousMind

@Phase We do not delete accounts that are not violating SE policy. Deletion is mostly reserved for spammers and sockpuppets

Phase

12:58 PM

I guess a slew of downvotes will have to suffice then

ACuriousMind

@Phase Accounts that post low-quality answers and questions are hobbled by several automatic restrictions, and eventually barred from posting any content whatsoever if they do not improve

Slereah

why do we need a new Einstein anyway

is there something wrong with the old one

He already discovered relativity, we don't need to discover it twice

Jim

@Phase nope. It's not good form to search out a user's posts and downvote them. Downvotes on posts that you come upon naturally are okay, but not actively seeking them out

Phase

@ACuriousMind Ah right ok

@Jim no no no I didnt mean that

@Jim I meant the amount of downvotes on a shitty answer will have to suffice as a warning of "this is nonsense"

but the automatic softbanning thing clarified it for me

Jim

cool

here's just one of Gabor's papers. It's his own site and probably tracks how far you read through it. Perhaps more. But I'm already on his list, so I don't care about going to it

Phase

1:06 PM

that loading bar sure is professional

inb4 malware

is it meant to take ages..?

Jim

you should abandon all line of reasoning when visiting the page. More things make sense that way

EdinburghDruid

Hi, could anyone show me how to go from
$\partial _\alpha F^{\alpha \beta} = J^\beta$ to
$\partial ^alpha F_{\alpha \beta} = J_\beta$ easily using g metric?

$\partial ^{\alpha} F_{\alpha \beta} = J_{\beta}$ for second line!

AccidentalFourierTransform

hint: $A^\mu=B^\mu\,\Leftrightarrow\,A_\mu=B_\mu$

Phase

its still loading

Slereah

$$\partial_\alpha F^{\alpha \beta } = \partial_\alpha \eta^{\alpha\gamma} F_\gamma^{ \beta } = \eta^{\alpha\gamma} \partial_\alpha F_\gamma^{ \beta }$$

Apply $\eta_{\beta\delta}$ on both sides

Robin Ekman

1:14 PM

Is there PhysicsOverflow x Phys.SE policy on cross-posting? I.e., posting the same question on both sites.

Slereah

$$\eta^{\alpha\gamma} \partial_\alpha F_{\gamma \delta} = J_\delta$$

$$ \partial^\gamma F_{\gamma \delta} = J_\delta$$

And then call the indices as you wish

Basically you just play around with the metric tensor and the fact that it commutes with the derivative

ACuriousMind

@RobinEkman That's completely fine (given that they are free to import the physics.SE question anyway, it would be pointless to try to prohibit that)

Robin Ekman

Great

EdinburghDruid

Yes I was trying, but I got stuck because I need 2 tensors to lower the indices on F, but I'm not sure on the rules to multiply across by 2 tensors

Thank you btw, I can see it clearer now

Slereah

when you have to do tensor gymnastics like that, it is best to not give the indices the same name, by the way

To avoid variable collisions

Use $\partial_{\alpha} F^{\alpha \beta}$ and $\partial^\gamma F_{\gamma \delta}$

Same equation, but you don't have to worry about what to call your intermediary indices

Phase

1:34 PM

@Jim Wow. how much wasted time is in this single webpage

Jim

@Phase I think he has at least 2 or 3 other papers somewhere. Can't find them though

They'll be in the next email I get from him

Phase

i feel bad for this guy

Uhhhh

I go to press ctrl, to ctrl prt scrn and post the screenshot of something here

and I realise pressing ctr, alt etc will all make gifs appear on the paeg

*page

0celouvskyopoulo7

@Slereah are you teaching someone SR?

@ACuriousMind Could you please take a look at this please?

Slereah

1:58 PM

@0celouvskyopoulo7 bit of an overstatement

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