I've been telling my friends and classmates (fellow math and physics majors) that they should really LaTex their homework. It's actually faster than handwriting, since writing by hand is just harder than typing, harder to erase, and with LaTex it's really easy to copy paste large expressions if they show up multiple times in calculations and proofs. It'll be a pain in the ass the first 2-3 assignments, but you'll never go back!
This'll be my third comment (sorry for the spam, pls forgive me) but you seem to be gaining some mathematical maturity, your proofs in the document were well written. I strongly recommend learning differential geometry and Lie groups, especially as a physics major. The book _Differential Geometry and Lie Groups for Physicists_ by Marian Fecko is a masterpiece, I'd recommend it for all physics majors and graduate students.
there is an online latex thing, its called overleaf sharelatex, and it comiles automatically and its like the latex analagous to google docs, where things save automatically and being able to access it online from anywhere
Mathematically speaking, a matrix is defined to capture the numerical information of a linear map (that is, a map T satisfying T(ax+by) = aT(x) + bT(y)) from F^n to F^m; and matrix multiplication is defined to be compatible with the composition of linear maps. Hence matrix multiplication is associative, as the composition of (any kind of) mappings is clearly associative.
I'd write my name and (Homework) in blue ink on the paper so the grader doesnt think your typed HW is a random quiz or something that got mixed in somehow
Hi Dude, I really enjoy watching your video. The editor that you are using is cool, while there is another one cooler: Lyx. More important, there is the coolest package: RMarkdown from Rstudio, and you can install "TinyTex" for math.
I use Markdown and convert it via pandoc to a PDF via LaTeX - when I started I liked using something that gave me instant feedback but now I know most of what the commands in Markdown and the occasional LaTeX command will actually do and so just type them and then error correct after converting via pandoc.
Andrew, if a particle has total energy 5 GeV and rest mass 3 GeV/c^2, its momentum is a) 6 GeV/c b) 3 GeV/c c) I thought this test was over, but Andrew hasn't come back and told us how it went yet
Can you share the template you use for homework assignments? I'm too lazy to manually copy the macros but still want to try using LaTex for assignments
Coming from a math major, you could have just broken down both sides into the multiplication of elements. Then just state the associativity holds because the elements of the matrix are associative.
Some ways get you the answer faster, some ways help you see what everythings doing easier. Expressing things as a matrix might help you solve specific problems, but then it's more difficult to see how all of the elements are related (in my opinion). Whereas how I was expressing things in the video help with that, but it's not as useful for actually calculating things. Kind of like how in Maxwell equations, I wouldn't calculate the electric field by starting in differential form, I'd use the integral representation. But if I want to see how the equations relate to eachother and derive other equations from them, I'd use differential form.
A huge formatting tip for your math: $$ and $$$$ are TeX primitive syntax, so it's harder to control them / redefine them properly in macros. For $$, one should use \( \) and for $$$$ one should use \[ \] instead. See: tex.stackexchange.com/questions/503/why-is-preferable-to www.ctan.org/tex-archive/info/l2tabu/english/ amsmath, for example, will redefine a lot of these nicely for you, something that can't be easily done with $'s since it's primitive TeX syntax.
Damn, man, take a look at LyX. It's waaay easier to write equations there! LaTeX is great for things like a thesis, but for this kind of stuff LyX is much more convenient. I even managed to write my linear algebra (yeah, matrices) in LyX during actual lectures.
I know you are a physicist and not a mathematician, so maybe your writing is good for what you are doing, but I just want to mention some things that I noticed you are not doing that are usually done in conventional mathematical writing that you don't seem to do. You are overusing colons. This comes from looking at equations as special things, and not as a part of the sentence. For example, after the "The matrix elements of AB can be written", you didn't have to put a colon. You could have just written the equation (still going down a line, so it's clear), put a colon, and came back to the paragraph doing the "where C" stuff. Same thing with the colon after the "then" before equation (3), and the lack of period after the equation. Does it really feel natural to you to read it like that? I like it when the writing is with sentences, and it doesn't feel too robotic. Same thing with (4), except here you could have made it much smoother (and of course write its instead of it's): "Its matrix element is then (4), so (5); hence (6), so matrix multiplication is associative." Of course at the end of the day this is a matter of preference, but I just wanted to say what I think (and mostly see with people writing math stuff), and I think you should consider it.
ATTENTION SMART PEOPLE: We are now entering our first (hopefully only) season 2 hiatus. We as the smart people community can help. Flock to the physics meme subreddit and get the memes going, so when Andrew is done with his gre we can get a tasty meme review.
Dude don’t get used to doing new commands it’ll be a bitch if you have to collaborate, I use TexStudio and I create a macro shortcut for anything I use frequently and it’s honestly slightly faster but that’s just my opinion.
If you have the time, I'd highly recommend writing your own class file so that you don't end up copy-pasting your preamble every time. I can send you mine, if you're interested - also, do check out github.com/bgschiller/latex-therefore.
Did all my homework’s from uni in latex. Always felt great to turn it in, even if it’s wrong they would still look sexy.
weird flex but ok
edit: your matrices spell DAB
cue bass boosted sound effect
insert ali a intro
I've been telling my friends and classmates (fellow math and physics majors) that they should really LaTex their homework. It's actually faster than handwriting, since writing by hand is just harder than typing, harder to erase, and with LaTex it's really easy to copy paste large expressions if they show up multiple times in calculations and proofs. It'll be a pain in the ass the first 2-3 assignments, but you'll never go back!
Andrew, use the physics package. It makes partials so nice and even matrices super nice.
This'll be my third comment (sorry for the spam, pls forgive me) but you seem to be gaining some mathematical maturity, your proofs in the document were well written. I strongly recommend learning differential geometry and Lie groups, especially as a physics major. The book _Differential Geometry and Lie Groups for Physicists_ by Marian Fecko is a masterpiece, I'd recommend it for all physics majors and graduate students.
Good luck Andrew! Don't worry so much about the daily uploads. GRE > daily videos
The best of luck for you in the GRE!!! Demolish that exam!
there is an online latex thing, its called overleaf sharelatex, and it comiles automatically and its like the latex analagous to google docs, where things save automatically and being able to access it online from anywhere
Mathematically speaking, a matrix is defined to capture the numerical information of a linear map (that is, a map T satisfying T(ax+by) = aT(x) + bT(y)) from F^n to F^m; and matrix multiplication is defined to be compatible with the composition of linear maps. Hence matrix multiplication is associative, as the composition of (any kind of) mappings is clearly associative.
Good luck on your GRE Andrew!
I'd write my name and (Homework) in blue ink on the paper so the grader doesnt think your typed HW is a random quiz or something that got mixed in somehow
I’ve been doing my maths assignments in LaTeX also as a result of seeing it work for you
All the best bro!!!
Hey, Andrew can you tell me some good resource for learning Latex ??
Hi Dude, I really enjoy watching your video. The editor that you are using is cool, while there is another one cooler: Lyx. More important, there is the coolest package: RMarkdown from Rstudio, and you can install "TinyTex" for math.
Gd Luck with your GRE ! and nice vid btw
Glad its working for you!
Just imagine how this guy would react if he found out about Obsidian.
I use Markdown and convert it via pandoc to a PDF via LaTeX - when I started I liked using something that gave me instant feedback but now I know most of what the commands in Markdown and the occasional LaTeX command will actually do and so just type them and then error correct after converting via pandoc.
Where do I find all these latex commands from? I really want them in my deck!
I have used texmacs and it seems great
Andrew, if a particle has total energy 5 GeV and rest mass 3 GeV/c^2, its momentum is
a) 6 GeV/c
b) 3 GeV/c
c) I thought this test was over, but Andrew hasn't come back and told us how it went yet
We totally understand, Andrew. Get studying and knock that shit out on Saturday. :)
Can you share the template you use for homework assignments? I'm too lazy to manually copy the macros but still want to try using LaTex for assignments
Ouch! The sentence before (4) really hurt my eyes!
Edit: 4:18 Glad you realized your mistake
Goodluck!
I wish I could ctrl+c, ctrl+ v in real life :(
Which software are you using to write up latex?
I use texstudio
Hi. How do i remove extra gap between figure and caption?
andrew hasnt posted in 5 days :(, hope he's okay.
Your biceps are looking larger than usual.😉
Totally not weird comment.
@@KevinS47 smile emoji...
What the most efficient way to do the griffiths script r in latex?
I'm not super familiar with the US system but if you're already in grad school, why do you have to take the GRE ?
It's hard to explain, but he has a video where he talks about how graduate programs work in the United States.
Coming from a math major, you could have just broken down both sides into the multiplication of elements. Then just state the associativity holds because the elements of the matrix are associative.
@Andrew, ever heard of SageMath? It's a math software language that exports LaTeX code! (Coming from someone who LaTeXs everything)
What's ur opinion on the varied notation for the same thing regarding linear algebra.
Some ways get you the answer faster, some ways help you see what everythings doing easier. Expressing things as a matrix might help you solve specific problems, but then it's more difficult to see how all of the elements are related (in my opinion). Whereas how I was expressing things in the video help with that, but it's not as useful for actually calculating things. Kind of like how in Maxwell equations, I wouldn't calculate the electric field by starting in differential form, I'd use the integral representation. But if I want to see how the equations relate to eachother and derive other equations from them, I'd use differential form.
\begin{gather} and \begin{align} are your friends
Does GRE mean General Relativity exam? Anyway, ya good, man? It's been 4 days, anything over 24 hrs is a missing persons sitch.
General relativity makes me think of Gru laughing and idk why
Okay prob 1.1 was included in our recent probset😂😂 I should've watch this before
All the best for GRE
A huge formatting tip for your math: $$ and $$$$ are TeX primitive syntax, so it's harder to control them / redefine them properly in macros. For $$, one should use \( \) and for $$$$ one should use \[ \] instead. See:
tex.stackexchange.com/questions/503/why-is-preferable-to
www.ctan.org/tex-archive/info/l2tabu/english/
amsmath, for example, will redefine a lot of these nicely for you, something that can't be easily done with $'s since it's primitive TeX syntax.
Absolutely no prob take your time to study
I should too, actually
Damn, man, take a look at LyX. It's waaay easier to write equations there! LaTeX is great for things like a thesis, but for this kind of stuff LyX is much more convenient. I even managed to write my linear algebra (yeah, matrices) in LyX during actual lectures.
Isn't LyX a LaTeX editor?
@@FrostDirt It's kinda a WYSIWYG LaTeX editor.
What laptop are you using?
ARE YOU OKAY ANDREW
I know you are a physicist and not a mathematician, so maybe your writing is good for what you are doing, but I just want to mention some things that I noticed you are not doing that are usually done in conventional mathematical writing that you don't seem to do.
You are overusing colons. This comes from looking at equations as special things, and not as a part of the sentence. For example, after the "The matrix elements of AB can be written", you didn't have to put a colon. You could have just written the equation (still going down a line, so it's clear), put a colon, and came back to the paragraph doing the "where C" stuff. Same thing with the colon after the "then" before equation (3), and the lack of period after the equation. Does it really feel natural to you to read it like that? I like it when the writing is with sentences, and it doesn't feel too robotic. Same thing with (4), except here you could have made it much smoother (and of course write its instead of it's):
"Its matrix element is then
(4),
so
(5);
hence
(6),
so matrix multiplication is associative."
Of course at the end of the day this is a matter of preference, but I just wanted to say what I think (and mostly see with people writing math stuff), and I think you should consider it.
ATTENTION SMART PEOPLE: We are now entering our first (hopefully only) season 2 hiatus. We as the smart people community can help. Flock to the physics meme subreddit and get the memes going, so when Andrew is done with his gre we can get a tasty meme review.
Andrew why!?!? Jk good luck retaking the GRE. I’m sure you’ll do great.
What school are you in
Dude don’t get used to doing new commands it’ll be a bitch if you have to collaborate, I use TexStudio and I create a macro shortcut for anything I use frequently and it’s honestly slightly faster but that’s just my opinion.
It's pronounced Levi Chivita (Ch as in child) :D
1700 pages of notes
You ok??? #wheresandrew
he's probably thinking about the gre 24/7 and doing 3 hour practice tests..ie he is off in battle
If you have the time, I'd highly recommend writing your own class file so that you don't end up copy-pasting your preamble every time. I can send you mine, if you're interested - also, do check out github.com/bgschiller/latex-therefore.
Good luck with the GRE
associativity is kinda in the definition of having matrix multiplication.. nothing to prove.
Not really though, it's pretty immediate and was defined to be associative, but it's not by definition
Congrate for devlopping 😙😙😙....but I hate classical michanics😠
\eqref can help
Laaahhhhhhh tex not LAYYYY tex
It's too complicated to do ur homework in Latex, Why don't you do it in a Microsoft Word document?