![2000px-Greek_uc_sigma.svg[1].png](https://i.imgur.com/AeDBS9E.png "2000px-Greek_uc_sigma.svg[1].png")
What's your favorite notation in mathematics?
What's your least favorite?
Ironic :(
>>7862321
And my absolute favorite
>>7862307
always thought alpha was p. cool
>>7862307
This is the stupidest fucking topic
>>7862307
Categorical
[math] \begin{array}{*{20}{c}}
{Spin\left( n \right)}&{\mathop \to \limits^\pi }&{SO\left( n \right)} \\
{}&{{ \searrow ^{\rho \circ \pi }}}&{{ \downarrow _\rho }} \\
{}&{}&{GL\left( V \right)}
\end{array} [/math]
nothing beats the floor and ceiling functions
>>7862326
The rest of my math threads died after one or two comments
>>7862333
Well if you like talking about math, maybe you can help me with the problem in pic related
the distance along the surface of the sphere between A and B is [math] \theta [/math] and the blue line is [math] \alpha [/math]
How can I show that [eqn] cos( \theta )=sin( \delta_1 )sin( \delta_2 ) +cos( \delta_1 )cos( \delta_2 )cos( \alpha ) [/eqn]
I got no help in the stupid questions thread.
>>7862343
Have you tried using the axiom of choice? :^)
>>7862348
I don't know why I even come to /sci/ anymore, this place is a joke
>>7862343
Transform the coordinates to a system that is easier to use.
θ is absolute bottom massive AIDS shit tier. Beta is top tier
>>7862356
There are no coordinates. A and B can be any two points on the surface of the sphere as long as [math] \delta_1 [/math] and [math \delta_2 [/math] are at right angles to the equator, and this relationship will hold true. I just don't know how to derive it.
>>7862343
Nigger why are you taking the sine and cosine of arc lengths?
>>7862370
Consider the surface as a smooth Riemannian manifold and θ as a differential form on the topological fibre bundle.
>>7862307
Bunch of math snobs here.
I like the plus sign because it symbolizes Latin "and" (et), as in "two and two is four" (duo et duo quattuor est), the simplest way of talking about sums.
et = +
It's simple and it's beautiful.
>>7862375
Because you can do that, they are angular distances. Look up the Law of cosines for spherical triangles, it does this too.
>>7862343
That's because the answer is on wikipedia :^)
https://en.wikipedia.org/wiki/Spherical_trigonometry#Cosine_rules_and_sine_rules
>>7862380
I don't know how to do that. It's a bit outside the scope of the course I need to do this for.
>>7862307
[math]\dot{x}[/math] is my least favorite. Terrible to read in cursive.
>>7862387
I've been reading over this page all weekend and it's getting me nowhere. The equation I posted is NOT the cosine rule, and there is no mention of it anywhere online other than an astronomical website that just states it with no derivation.
>sin^-1
literal aids
>>7862307
[math]p\equiv q [/math] mod [math]r[/math]
>favourite
The one on the top.
>least favourite
The bottom one.
Measure theory desu
[math] \int\nolimits_{ \Omega } 1_A d \mathbb{P} [/math]
>>7862410
This, I thought it was cosecant when I first saw it and got really confused.
>>7862410
An alternate but rarely used notation is sin^I
>>7862353
>please help me with my homework
>funny troll post
>why do I even come to /sci/ anymore!! ;_____; This place is a joke!
This is you. This is what you sound like.
I like
[math]\int_{a}^{b}[/math]
and
[math]\sum_{a}^{b}[/math]
>>7864768
use \limits you shit
[eqn]
\int\limits_{a}^{b}
[/eqn]
[eqn]
\sum\limits_{a}^{b}
[/eqn]
This is even sexier: [math]\int_{-\infty}^\infty e^{-\frac{x^2}{2}}dx = \sqrt{2\pi}[/math]
>Favorite
[eqn]\mathbb{Q}[/eqn]
>Least favorite
[eqn]\mathbb{R}[/eqn]
>>7864893
lol, nice meme
>>7864893
given the central role of computers in our lives and the fact that computers don't use real numbers i'd say this is the correct opinion
>>7864893
underrated post
>>7865110
>>>/reddit/
It's literally the only post that has been replied to since it was posted, and you say it's underrated? Please just get the fuck out
>>7862307
> What's your favorite notation in mathematics?
Variational calculus
> What's your least favorite?
Integration, square roots, sums
Favorite notation? Probably something about how we define functions, arrows and colons are cool, mapping is cool.
[math]f : X \rightarrow Y[/math] or
[math]f : x \mapsto y[/math] for [math]x \in X, \: y \in Y[/math]
Least favorite is probably ket notation. Strangely enough, I just dislike (purely aesthetically) the ket vector; for instance with the SE
[math]i \hbar \partial_t \lvert \Psi \rangle = \hat{H} \lvert \Psi \rangle[/math]
it looks so much nicer without the kets. But bra-ket notation in general is pretty cool, probably partly because of the concise way it conveys information.
[math]\langle \psi \lvert A \rvert \psi \rangle[/math]
[math]\lvert \psi \rangle \langle \phi \rvert[/math]
>>7864772
Did they change the commands?
[eqn] \int^b_a f(x)\, \mathrm{d} x
>>7865269
kek, mine is
[math]\Omega[/math]
>>7865271
kek pleb, mine is
[eqn]\varpi[/eqn]
>>7865112
mad
>>7864772
Nice :)
[eqn]\int\limits_{-\infty}^\infty e^{-\frac{x^2}{2}}dx = \sqrt{2\pi}[/eqn]
[math]8=D[/math]
>>7862307
I don't know. Express calculus in set theoretic notation and we'll see.
Linear algebra is fucking trash tier for all of its notation.
>>7865990
[eqn]loli[/eqn]
>>7862410
f^n
Can't tell if it's nth power, derivative or f composed with itself n times
>>7866129
>derivative
That's denoted [math]f^{(n)}[/math], but you have a point on the other two. Fortunately, a little explanation in words can go a long way.
>>7866134
Saw the nth derivatives without parenthesis though
[math] abs(11) [/math]
>>7866171
Fuck
I meant to do
[math] |11| [/math]
>>7866174
At least there's no reason to write something so unsightly as [math] \| | 11 | \| [/math].
The QED symbol
I like the LaPlace transform 'L'. Its very elegant looking and powerful in what it represents
>>7866331
There's no way that proof is acceptable. I thought you were supposed to actually show that a contradiction occurs, not to leave it to the reader.
Something simple like assume [math]a = b[/math], then there would be no relationship [math]b=1a[/math] so [math]a \neq b[/math] which is immediately a contradiction.
That proof is so trivial I cannot imagine it being anywhere other than an 'Intro to proofs for 5 year old clinically retarded kids' book so I don't see why the proof wouldn't clearly illustrate the contradictions this would yield.
>>7862307
Einstein, the symbols don't mean shit, it's the ideas that count.
>>7862323
Fuck you, that shit looks awful with 99% of the populations handwriting.
>>7866365
I literally just googled QED symbol and this is the first that came up
>>7866365
pleb faggot undergrad detected
>>7866331
I prefer the empty box or ////
>>7866436
And when you want to seem like a total smartass you write out whatever quod erat demonstrandum substituted for from ancient greek.
>>7862329
cout << "this" << endl;
[math]\implies[/math]
>>7866445
>pleb CS faggot detected
topkek they don't even know that cout and endl are in the std namespace. topkek when are we kicking this scum out of academia?
>>7866451
http://www.math.rutgers.edu/~zeilberg/Opinion145.html
i hate CS fags as much as the next guy, but computers are just too stonk mang
>>7866466
>Mathematics will very soon, (like everything else!) become a statistical science, and mathematical knowledge will be obtained by statistical methods.
Translated:
We in the statistics department are too fucking stupid for deductive reasoning, or any kind of absolute and rigorous reasoning for that matter, so we will downgrade mathematics to our level so that we can feel good about our mediocrity.
>>7866472
>We in the statistics department are too fucking stupid for deductive reasoning, or any kind of absolute and rigorous reasoning for that matter, so we will downgrade mathematics to our level so that we can feel good about our mediocrity.
yeah pretty much this
>>7866143
the person who wrote it was a moron.
Move on
Anyone with any favorite but commutative diagrams is wrong.
Most hated:
[eqn]\mathfrak{R}\;\;\;\mathfrak{I}[/eqn]
Favs:
[eqn]\bigotimes\oint\coprod\bigoplus[/eqn]
Also love the entire mathcal alphabet:
[eqn]\mathcal{ABCDEFGHIJKLMNÑOPQRSTUVWXYZ}[/eqn]
>>7867472
Read the sticky on how to math.
>>7867882
it worked on the tex preview
good [math]\prod \lambda \theta[/math]
shit [math]\tau \xi [/math]
>>7867908
You gotta put spaces everywhere.
>>7867954
Isn't [ma.th] and [/ma.th] (without the periods)?
Or does [eqn] also work (or work for different things)?
>>7867961
eqn is for bigger and separate from text, while math is for inline with text
>>7867954
retry
Most hated:
[eqn] \mathfrak{R} \; \; \; \mathfrak{I} [/eqn]
Favs:
[eqn] \bigotimes \oint \coprod \bigoplus [/eqn]
Also love the entire mathcal alphabet:
[eqn] \mathcal{ABCDEFGHIJKLM} [/eqn]
[eqn] \mathcal{NÑOPQRSTUVWXYZ} [/eqn]
>>7868171
Took me so long to figure out what the fuck [math]\mathfrak R]/math] was supposed to be.
beautiful:
[math]\hat{H}\big|\Psi\big> = E\big|\Psi\big>[/math]
gross:
anything in general relativity
>>7868171
Tensor product is one of my favourite notations too
Obviously [math] \displaystyle \Xi [/math]
