r/Physics 1d ago

Image This makes me laugh and idk why.

Post image
1.7k Upvotes

182 comments sorted by

510

u/Heretic112 Statistical and nonlinear physics 1d ago

This is why summation notation was invented lol

235

u/ThatOneShotBruh Condensed matter physics 1d ago

Or just using a single sigma with multiple variables beneath it to denote multiple summations.

70

u/Sug_magik 1d ago

Imagine multilinear algebra, but writting one sigma to each summation. Creepy right?

2

u/Bean_from_accounts 2h ago

Honestly that's what I do with integrals. It's so much more elegant and less space-consuming to only write one sum/integral symbol with lots of variables underneath.

79

u/zekufo 1d ago

Imagine doing GR longhand

91

u/stepdadonline Graduate 1d ago

I don’t have to… I remember an assignment where we had to derive the Ricci curvature tensor by explicitly showing all the connection coefficient terms that disappear. That shit took like 7 pages

29

u/IllllIIlIllIllllIIIl 22h ago

I'm computational scientist, not a physicist, and this isn't nearly as bad, but I recall having to derive a 6th order implicit Runge-Kutta method for an exam once. My ADHD ass had to bring in a pack of colored pencils like some kind of toddler to use for the different terms or there's no way they'd have correctly simplified.

18

u/urethrapaprecut Computational physics 21h ago

Nah dude the color code method is necessary one your number of terms goes over like 8. I've had to do massive expansions on homework before and just used colored white board markers on a white boards and it was so much easier! Being able to erase and color code is extremely useful

5

u/IllllIIlIllIllllIIIl 21h ago

Haha, fair enough. In grad school I was lucky enough to find two giant melamine boards in a dumpster. I polished them with automotive wax and hung them up in my room as whiteboards. Pretty sure I would not have graduated without them.

5

u/Jenkins_rockport 21h ago

This is honestly my dream application for AR tech. I want to be able to go out hiking and be able to write on a virtual whiteboard that I can always keep with me... I've been dreaming about tech like that since the 90's and it feels within reach now -- it may even exist right this moment and I just don't know about it.

2

u/tlmbot Computational physics 8h ago

You and me both! We should start-an-up and get rich!*

*joking, the target market is approximately ... checks notes on everyone I have ever met, including various stents in grad school and a pretty full professional life in computational simulation.... uh... 5 or 6 of us!

But yeah, I posted on social media about wanting this about 10 years ago and was immediately shat on by my social circle of the time for, like, not knowing real white boards exist and solve the problem. ... I suppose I had an upbringing in one of those places where you got beat up for being smart.

2

u/tlmbot Computational physics 8h ago

This reminds me: I want a latex "white board" so bad! Huh, why have I not investigated doing this. Just let me "go right" as long as the equation, and good sense, may warrant, ya know?

Also, what do you like to compute? For work or fun?

2

u/Inevitable_Ad7080 21h ago

Thank you for all your hard mental work. I think a lot of people don't appreciate how hard this kind of thing is-i do (tho i can only imagine your 6th order thingie with colored pencils...)

Ps, great reddit name

2

u/raverbashing 14h ago

but I recall having to derive a 6th order implicit Runge-Kutta method for an exam once

These are the kind of professors that don't get flowers at retirement

1

u/Evening-Stable-1361 20h ago

How do you memorize those n number of  itsy bitsy tricks used in the derivation? (Assuming you got this in your exam without you knowing it will be asked?)

1

u/PhysicalStuff 15h ago

Syntax highlighting.

9

u/biggyofmt 1d ago

Oof.

I had a teacher make us do a Laplace transform by long hand integration and that took me 2 and a half pages. I thought that was quite bad enough

2

u/zekufo 20h ago

It’s a rite of passage.

Kind of like doing QM the long way then being shown ladder operators.

That never took seven pages, though.

1

u/Evening-Stable-1361 20h ago

Do you guys have to do this without looking into textbook?

35

u/schrodingers_30dogs 1d ago

The fact that this ISN'T in summation notation has me questioning this book's author immediately.

24

u/clanker_31 1d ago

Font of the book makes me say j.j. Sakurai.

21

u/schrodingers_30dogs 1d ago

If that's the case, then the idea must be to explicitly list the summation in problems until the student is comfortable. These are quite cumbersome though.

28

u/beerybeardybear 1d ago

Sometimes it's like a game: you gotta make the reader/player do it the hard way so they can appreciate the power that they're about to unlock.

2

u/Fabulous_Lynx_2847 19h ago

 Like “wax on … wax off” from Karate Kid.

2

u/James20k 11h ago edited 11h ago

I feel like a better way to do this is to present the concise syntax alongside the less concise syntax, and do this for a bunch of problems until you expect the student to have learnt it. Just presenting the verbose syntax on its own doesn't really add anything, because there's nothing 'new' to learn

Edit:

It also makes it completely useless as a reference once you have more experience

1

u/PhysicalStuff 15h ago

Can confirm. I have MQM on my coffee table (don't ask), and the passage is right there in section 3.10.

7

u/protestor 1d ago

I mean there's an uppercase sigma right there (a summation notation), do you mean Einstein notation?

4

u/LardPi 20h ago

You mean Einstein notation? I hate that shit so much... When people start using that, it becomes impossible to know which variable has not been declared because it is a summation and which variable has not been declared because the author is a sloppy, lazy nerd who thinks everyone just knows these equations by heart.

Summation notation would only be good if physicists were rigorous and there was not a giant gap between textbooks and research.

I'd rather be more explicit so that students can actually read what I write.

1

u/Agnosticpoopster 15h ago

I’m gonna pretend i know what you guys are talking about…

662

u/Lee_Sins_Left_Nip 1d ago

7 summations is pretty goofy lol

303

u/chillaxinbball 1d ago

That about sums it up.

30

u/BlazeCrystal 1d ago

D--DUDE

15

u/LovelyJoey21605 20h ago

Nah, can't just shorthand it. You gotta write 'em all out DDDDDDDUDE.

44

u/Silent-Selection8161 1d ago

7 Summations sounds like a math focused novelty metal band

11

u/metatron7471 20h ago edited 11h ago

Or satanic cult :D like: on the seventh day, the seventh seal to hell shall be broken ;)

2

u/MakingPlansForSmeagl 12h ago

See the Seven Summations shatter the seven seals to summon Satan this Saturday saturday saturday....

1

u/silver17raven 21h ago

My thoughts exactly!

1

u/DiversifyThisBitch 14h ago

lmao great band name!

15

u/OneMeterWonder 1d ago

Need a summation for the summations.

4

u/vegarsc 16h ago

yo dawg

1

u/Key-Green-4872 9h ago

Sum of a sum, sum of a sum, sum of a sum of a sailor...

157

u/TraditionalBandit 1d ago

Haha I recognized this page instantly, I remember my Prof going "this page alone is enough to make anyone want to quit physics" in class.

27

u/RecognitionSweet8294 1d ago

What book is this?

60

u/Mafacus 1d ago

Modern quantum mechanics by J.J. Sakurai 3rd ed.

7

u/ihateagriculture 18h ago

yeah, we’re using this book for our class this semester

238

u/Bipogram 1d ago

more ijk than idk

68

u/tehclanijoski 1d ago

Einstein notation: idk ijk lol

34

u/Bipogram 1d ago

Next time I have to loop over three indices they shall be w, t, and f.

174

u/echaffey 1d ago

The nested for-loop nightmare of mathematics

103

u/Substantial-Bear6299 1d ago

It’s funny because you will have soon forgotten more math than most people learn in their entire lives. 🤣

29

u/tannenbanannen 1d ago

somewhere, an algorithms prof is shaking with rage

7

u/AthiestAlien 23h ago

"this man knows NOTHING!"

21

u/Crafty_Ad9379 1d ago

The author of the book was definitely cooking smth

1

u/ihateagriculture 18h ago

Sakurai was cooking indeed

17

u/node-342 1d ago

What gets me is that there's only one numbered equation on this page. #470, in Chapter Three. How LONG is this chapter?

3

u/urethrapaprecut Computational physics 21h ago

Very long

15

u/specialsymbol 1d ago

Which book is this? I want it.

33

u/ken_zeppelin Graduate 1d ago

Sakurai's Modern Quantum Mechanics (Third Edition). Pretty much the de facto graduate-level QM textbook.

13

u/siupa Particle physics 1d ago

Pretty much the de facto graduate-level QM textbook

Weinberg, Townsend, Shankar?

0

u/csappenf 20h ago

Weinberg would just skip most of the computations and expect you to do them in your head as you read along. That's a real grad level textbook. Here's some physics, kids, have fun. Hope you can do the math.

I have no idea why it isn't used more often. Grad school is meant to be a place of suffering. And there's a lot of physics in Weinberg's little book. It's not a bad book at all.

6

u/csquared_yt 22h ago

Damn so is this what he's been up to when he's not working on kirby lately

2

u/ihateagriculture 18h ago

that’s the one

44

u/EroniusJoe 1d ago

So now I'm rollin' down Rodeo with a shotgun. These people ain't seen a brown skinned man since their grandparents bought one... Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ Σ... and now I'm rollin' down Rodeo with a shotgun!

10

u/d0odk 1d ago

lol why is this so funny and what made you even think of it

11

u/heavy_metal 1d ago

too much nesting. please refactor.

9

u/Strange-Resource875 1d ago

Gonna read this equation but lemme say sigma 7 times rq

9

u/ThisOpinionIsWrong 1d ago

Reminds me of when old operating systems would lag and the cursor would multiply itself as you dragged it across the screen.

2

u/ihateagriculture 18h ago

i have mine set up to do that on my laptop lol

9

u/kezinchara 1d ago

EEEEEEEEEEEEEEEEEEEEEEEEEEEE!!!

1

u/tinybike 10h ago

Scrolled to find this

1

u/Heart_Is_Valuable 6h ago

Sigma notation go BRRRRRRRRRRR

11

u/trucci3 1d ago

You've heard of six sigma?... hold my beer!

16

u/darthelwer 1d ago

Angular momentum sucks…

6

u/physik34 23h ago

The 7th sum of a 7th sum...

2

u/metatron7471 20h ago

was a great Iron Maiden album :D

6

u/Poopy_Zombie_625 22h ago

You call yourself sigma yet you're scared of it

4

u/fkbaganoff 1d ago

I think it’s the same reaction as when you see a guy hit in the nuts and you give an involuntary laugh. It’s the shared pain coupled with better you than me.

4

u/coolguy420weed 1d ago

EEEEEEK!

5

u/ConnectionOk8273 1d ago

Damn you made me remember EEK the cat !

4

u/I_SawTheSine 1d ago

All those spiky Sigma signs are quite tickly.

4

u/disagreeable_moose Particle physics 1d ago

Gotta love Sakurai

5

u/TheXtraReal 1d ago

Math, uhg, somebody.

3

u/West0xy 1d ago

Rush e but physics

5

u/Artistic_Credit_ 23h ago

[X^(k₁) ⊗ Z^(k₂)]^(k) = ∑_K C(k₁k₂K; k) T^(K)

3

u/GodRishUniverse 1d ago

I personally like using more sigmas early on and then condensing but this person. Some people find it more clearer (imo) but here it seems like a mess

2

u/Aranka_Szeretlek Chemical physics 1d ago

I mean, its not your call to increase the sigmas when you combine tensors

3

u/horguscadaver 1d ago

A summing summing sum summing summing sums

3

u/hofdichter_og 1d ago

So sigma

3

u/purple-kitties 1d ago

laughing in hysteria

3

u/Derice Atomic physics 1d ago

Flashbacks to my PhD when I spend a few months doing quantum mechanical angular momentum theory. Damn you Wigner 3nj-symbols!

1

u/ihateagriculture 18h ago

oh boy, that’s about to hit me too

3

u/External-Pop7452 23h ago

Seven summations, might as well make a new sign for it XD.

3

u/Optimal-Savings-4505 23h ago

Oh for crying out loud, why won't they use linear algebra already. All those sums may as well be implicit.

2

u/TheArthurAbbott 1d ago

Ask Siri to call you that

2

u/RecognitionSweet8294 1d ago

what book is this?

1

u/ihateagriculture 18h ago

Modern Quantum Mechanics by JJ Sakurai third edition, it’s the required text for my QM course this year.

2

u/SnekBills 1d ago

What the sigma

2

u/Pt4FN455 1d ago

Don't worry, most Glebsch-Gordon coefficients are zero, so no sweat, "sigh".

2

u/AndreasDasos 1d ago

At this point use one summation with commas between the indices underneath…

2

u/mrkrabswalkingsound 1d ago

erm what the sigma

2

u/Few-Emergency5971 1d ago

I have no idea what anything on that page means

3

u/Live_Wheel9022 1d ago

This makes me cry

2

u/Cake-Financial 1d ago

I have the feeling i never truly understand the spherical tensors

2

u/Oh_its_that_asshole 1d ago

God damn physicists aren't going to convince me that isn't a page of magical runes for summoning demons.

1

u/ihateagriculture 18h ago

Shhhhhh, you aren’t supposed to know that

2

u/YorakHant 22h ago

I once encounterrd something siniliar and just wrote an eftra wide Sigma with all of the summation variables listed underneath. Looked even goofier.

2

u/West_Competition_871 20h ago

Randomly came upon this post and I am so glad I'm not learning physics 

2

u/BDady 19h ago

470 equations in one chapter is wild

2

u/Magmatt7 19h ago

As a non-physicist that lack mathematical skills to decipher this, this page makes me go:

EEEEEEEEEEEEEEEEEEEE

2

u/Herb_Derb 19h ago

That is sum proof.

2

u/thriveth 18h ago

Ah, good old Sakurai. Recognize it immediately. Posts like this should come with a trigger warning...

1

u/ihateagriculture 17h ago

you’re right, my b lol

2

u/TheBigCicero 18h ago

People on this sub have been arguing that physics isn’t just math…

2

u/TheBeesElise 15h ago

Would you like summ more?

2

u/bartlesnid_von_goon 13h ago

And here we see why summation conventions are a thing.

2

u/PinusContorta58 Quantum field theory 11h ago

Typical graduate physics book proof be like: It is straightforward to show that (followed by 402483 indices tensor, with 32 sums or integrals)

3

u/Impossible_Trip_7164 1d ago

This is why Einstein got Nobel prize

2

u/FlimFlamBingBang 1d ago

Sooo glad I became an experimental physicist… and then switched into machine learning and other cool stuff.

1

u/Aranka_Szeretlek Chemical physics 1d ago

Welcome to spherical harmonic machine learning

2

u/surefirelongshot 1d ago

Sheet music for sigma boy?

2

u/Admirable_Ask_5337 1d ago

My eyes refuse to read this.

1

u/Iron_And_Misery 1d ago

Sumsumsumsusmsum

1

u/Not-Too-Fat 1d ago

dude im going to study physics at uni in a month is this what physics is because wtf bro

6

u/frogjg2003 Nuclear physics 1d ago

This is a graduate level book. It looks hard, but it's really just basic algebra on some special objects. All that's happening here is rearranging some indices and applying some formulas from earlier in the book to expand and then reduce these formulas. If you've done proofs in trig or calculus, it's easier than that.

1

u/jrp9000 23h ago

Enterprise FizzBuzz?

1

u/ihateagriculture 18h ago

Most of graduate level physics involves more fun math than just repeating summations (such as the tensor product of an integral of a repeated product of a summation of something etc.), but yeah this is from the required for my QM course this semester in grad school.

1

u/helomusic 1d ago

You are never using this in your life

1

u/ihateagriculture 18h ago

I mean, this book is the required text for my QM grad course this year

1

u/buenolo 1d ago

I have never used several summatories together. Just put the indexes under one of them.

1

u/styzonhobbies 1d ago

I'm reading about fensors now. Thought they used the summation convention.

1

u/frogjg2003 Nuclear physics 1d ago

Laughs in Varshalovich, Moskalev, and Khersonskii

1

u/The_Real_Cooper 1d ago

SUUUUUUUUUM nights I stay up

1

u/DaDanDans 23h ago

what the sigma what the sigma what the sigma what the sigma what the sigma what the sigma what the sigma

1

u/RedditsAdoptedSon 20h ago

i never passed algebra but i just wishhhh i could get to a point where stuff like this makes a lick of sense

1

u/DownBCounter 20h ago

SigmaSigmaSigmaSigmaSigmaSigma

1

u/lovelettersforher Computer science 20h ago

For-loop jumpscare (maths edition).

1

u/chuch1234 19h ago

Nobody tell /r/infinitenines about this.

1

u/CharlemagneAdelaar 19h ago

Sssssssnake math

1

u/Excellent_Rice_05 19h ago

one of the best sleeping pills

1

u/c_salad92 16h ago

This is the most awful notation that I've ever came across

1

u/TinyWestern4738 16h ago

What the ssssssssigma ?

1

u/notachemist13u 15h ago

Nervous laughter 😃

1

u/Striking-Milk2717 15h ago

Oh my lord what is this book? I WANT TO READ IT

1

u/ZealousidealWar4866 15h ago

Clebsch Gordan 😍

1

u/Fit_Gap2855 14h ago

EEEEEEEEEEEEEEEE

1

u/thunderbootyclap 14h ago

I have never seen so many summations

1

u/E_kiani96 12h ago

Imagine if Sakurai wrote a GR book!

1

u/Substantial-Taro-533 12h ago

Sakurai’s book was a nightmare. I know it’s not that better but I have really loved the more precise approach taken my Cohen.

1

u/Vrudr 11h ago

Yeah, it feels like every mathematician ever is trying to piss each other off via mathematic scream.

1

u/dearbokeh 9h ago

It makes me want to cry.

People who don’t know what it is would just see ‘eeeeeee’, which is also what people who know what it says may feel.

1

u/slappythejedi 9h ago

i started laughing at the page then saw the name of the post lol

as an aside i read in a novel today a character said they did mathematics instead of physics because physics was easier and i was like oh spoken like an english major

1

u/RoyalChallengers 9h ago

İf every summation is a for loop, no one ever would be using this algo coz of complexity

1

u/WingDingfontbro 9h ago

It’s just like the EA Sports intro but it’s just E

1

u/arivero Particle physics 8h ago

hmm the guys of LLM and transformers should start doing this.

1

u/tlmbot Computational physics 8h ago edited 8h ago

All it's missing is the classic:

"it is easy to show"

...proceeds to show something that gives me nightmares of my own inadequacy for the next 6 months to a year

(recognizing this is kind of a bad example since... I think (but haven't really looked, so I am quite happy to be corrected to hell) that we are just looking at a use case for the better notation which is ubiquitous. Maybe this is just a motivation/introduction page?)

1

u/Heart_Is_Valuable 6h ago

I can't believe nobody has made this comment, so I'll do it.

Sigma notation go BRRRRRRRRR

1

u/levistep32 4h ago

i feel so sigma!

1

u/FightingPuma 1d ago

Pretty shitty notation, this is why

-11

u/vodkapivoikompot 1d ago

Dumb people like to speak in difficult language🤷🏻‍♂️

-9

u/Existing_Tomorrow687 1d ago

Haha, I can see how the dense math might tickle your funny bone—those endless symbols and subscripts can feel like a cosmic joke! It’s a proof from tensor theory, specifically about combining spherical tensors using Clebsch-Gordan coefficients. Maybe it’s the absurdity of turning abstract math into a "laugh-out-loud" moment that’s getting you!

5

u/DonnaHarridan 1d ago

Hi chat gpt

3

u/Existing_Tomorrow687 22h ago

Don’t worry, one day you’ll have an original thought too.