ITT mess around with [math]\LaTeX[/math]
[eqn]
\begin{pmatrix} a \\ a \\ a \\ a \\ a \\ a \\ a \\ a \\ a \\ a \\ a \\ a \\
\end{pmatrix}
[/eqn]
Good idea for a thread OP
[eqn] \oint_{ \partial S } F \cdot \mathrm{d} s = \iint_S \mathrm{curl}(F) \cdot \mathrm{d} \Omega [/eqn]
>>8189773
Whoops that first integral shouldn't be an \oint.
>>8189766
[math]\color{#db2b2b}I\text{ }\color{#db5f2b}r\color{#db932b}a\color{#dbc62b}i\color{#bcdb2b}n\color{#88db2b}b\color{#55db2b}o\color{#2bdb36}w\color{#2bdb69}e\color{#2bdb9d}d\text{ }\color{#2bdbd0}y\color{#2bb2db}o\color{#2b7edb}u\color{#2b4adb}r\text{ }\color{#402bdb}m\color{#742bdb}o\color{#a72bdb}m[/math]
How do you get latex to work with 4chanx?
[math]\ learn_{2 \to limits}\ you=faggot[/math]
>>8189784
just werks
testing with my $limited_{knowledge}$
$faggot$
>>8190125
[math]limited_{knowledge}[/math]
am doing right?
[math]\"me"{plus}"your mom"{equals}"lol no thanks"[/math]
>>8189784
[ math ]
[ /math ]
tags without the spaces, both with or without 4chan X.
Or eqn instead of math if it's on its own line and you want things a bit larger.
4chan X has alt+E and alt+M shortcuts.
>>8190222
I mean it doesn't show up at all.
Works fine with 4chanx disabled
>>8190470
Nevermind, it seems to be working again in the latest version.
[math] PV = nRT [/math]
[math] N_2 + 3H_2 \longrightarrow 2NH_3 [/math]
[math] \frac{[NH_3]^2}{[N_2][H_2]^3} [/math]
>>8190504
Use \mathrm for chemical names, your spacing is fucked up otherwise. Especially important for two-letter chemical names like [math]\mathrm{Al}[/math].
>>8190504
[math]\memories[/math]
test
[eqn]\sum _{i=1}^{\infty } \text{i = -}\frac{1}{12}[/eqn]
>>8190514
Let's see...
[math] \mathrm{PV = nRT} [/math]
[math] \mathrm{N_2 + 3H_2 \longrightarrow 2NH_3} [/math]
[math] \mathrm{\frac{[NH_3]^2}{[N_2][H_2]^3}} [/math]
It certainly is better. Any idea on how to write in organic structures?
[math]x^{x^{x^{x^{x^{x^{x^{x^{x^{x^{x^{x^{x^{x^{x^{x^{x^{x^{x^{x^{x^{x^{^{x}}}}}}}}}}}}}}}}}}}}}}}[/math]
>>8190528
I wouldn't use it for normal variables such as [math]PV=nRT[/math]. I don't think you're going to be able to do much else in chemistry here. There are useful libraries in an environment where you can use what you want with LaTeX. I checked google and two common libraries are ochem and chemfig.
Testing
[eqn]
(i \gamma_{/mu} \partial^{\mu} - m)\psi = 0
[\eqn]
>>8190521
your i's don't match
>>8189779
[math]\color{#db2a23}{\text{n}}\color{#dd3424}{\text{i}}\color{#de3d26}{\text{c}}\color{#df4628}{\text{e}}[/math] [math]\color{#e2592b}{\text{t}}\color{#e3622d}{\text{r}}\color{#e46b2f}{\text{y}}\color{#e67431}{\text{,}}[/math] [math]\color{#e68333}{\text{b}}\color{#e58a35}{\text{u}}\color{#e59236}{\text{t}}[/math] [math]\color{#e29d39}{\text{y}}\color{#dfa23a}{\text{o}}\color{#dda73b}{\text{u}}\color{#dbab3c}{\text{'}}\color{#d7ae3e}{\text{l}}\color{#d3b13f}{\text{l}}[/math] [math]\color{#cbb742}{\text{n}}\color{#c6b844}{\text{e}}\color{#c1ba46}{\text{e}}\color{#bcbb48}{\text{d}}[/math] [math]\color{#b1bd4d}{\text{a}}\color{#acbd50}{\text{n}}\color{#a6bd54}{\text{o}}\color{#a0bd57}{\text{t}}\color{#9bbd5b}{\text{h}}\color{#95bc5f}{\text{e}}\color{#90bc64}{\text{r}}[/math] [math]\color{#85ba6e}{\text{1}}\color{#80b973}{\text{0}}\color{#7bb778}{\text{0}}\color{#76b67e}{\text{0}}[/math] [math]\color{#6db28a}{\text{y}}\color{#69b090}{\text{e}}\color{#65ad96}{\text{a}}\color{#61aa9c}{\text{r}}\color{#5da8a2}{\text{s}}[/math] [math]\color{#56a0ad}{\text{o}}\color{#539cb2}{\text{f}}[/math] [math]\color{#4d94bd}{\text{t}}\color{#4b8ec0}{\text{r}}\color{#4988c4}{\text{a}}\color{#4683c8}{\text{i}}\color{#447dcb}{\text{n}}\color{#4276cd}{\text{i}}\color{#416fce}{\text{n}}\color{#4068ce}{\text{g}}[/math] [math]\color{#3e59cf}{\text{t}}\color{#3e51cc}{\text{o}}[/math] [math]\color{#3f42c7}{\text{d}}\color{#3f3ac4}{\text{e}}\color{#4234be}{\text{a}}\color{#462db8}{\text{f}}\color{#4927b2}{\text{e}}\color{#4d21ac}{\text{a}}\color{#531da5}{\text{t}}[/math] [math]\color{#651c96}{\text{m}}\color{#6e1c8e}{\text{e}}\color{#781b86}{\text{.}}[/math]
>>8190533
Whats its derivative?
[math]\begin{pmatrix}\begin{pmatrix}\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\\\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\end{pmatrix}&\begin{pmatrix}\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\\\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\end{pmatrix}\\\begin{pmatrix}\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\\\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\end{pmatrix}&\begin{pmatrix}\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\\\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\end{pmatrix}\end{pmatrix}[/math]
[math]{{{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}^{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}_{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}}^{{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}^{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}_{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}}}_{{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}^{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}_{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}}}}^{{{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}^{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}_{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}}^{{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}^{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}_{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}}}_{{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}^{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}_{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}}}}}_{{{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}^{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}_{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}}^{{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}^{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}_{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}}}_{{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}^{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}_{{\text{:^)}^{\text{:^)}}_{\text{:^)}}}}}}}}}[/math]
>>8190697
nice
[math] \displaystyle G_{\mu\nu} - 8\pi T_{\mu\nu} = (i \partial / - m)\phi [/math]
>>8190697
Good.
>>8190486
Yeah, it was bugged with 4chanX for a while, fixed now though.
A trivial fiber bundle is the quadruple [math](E, M, \pi, F)[/math] when [math]\pi \colon (E = M \times F) \to M.[/math]
The identity element on a set A is [math]\operatorname{id}_A \colon A \to A,\ a \mapsto a[/math] for all [math]a \in A[/math]. For example, on an infinite dimensional Hilbert space [math]\mathcal{H}[/math] with canonical basis [math]\{ e_i \}_{i \in \mathbb{N}},[/math] [eqn]\operatorname{id}_\mathcal{H} = \sum_{i = 1}^\infty e_i \otimes e_i^*,[/eqn] where [math]\{ e_i^* \}_{i \in \mathbb{N}}[/math] denotes the canonical basis of the dual space [math]\mathcal{H}^*.[/math]
Prove that for all [math]n \in \mathbb{Z}[/math], we have
[eqn]\sum_{d|n} \phi (n) = n[/eqn].
>>8191103
Needs to be [math]n \in \mathbb{Z}^+[/math].
Also, i meant [math]\Phi[/math] maybe?
>>8191110
Assume [math]S[/math] is nonempty. Then by the Well Ordering Principle, [math]min\{S\}[/math] exists, call it [math]m[/math]. We know that [math]1 \not \in S[/math] because [math]\varphi(1)=1[/math]. So [math]m>1[/math]. So we can uniquely factorize [math]m = p_1^{a_1}p_2^{a_1}...p_k^{a_k}[/math]...
>>8191122
>So we can uniquely factorize [math]m = p_1^{a_1}p_2^{a_1}...p_k^{a_k}[\math]...
>>8191126
>>So we can uniquely factorize [math] m = p_1^{a_1}p_2^{a_1}...p_k^{a_k} [/math]...
>>8190637
>>8190684
Nice matrix :^)
[math]\int not sure if Im doing this right dt[/math]
Why can't I seen them ?
[math]\displaystyle \int _a ^b x \mathrm d x = \frac {b^2 - a^2} 2 [/math]
[math] \begin{tikzcd}[column sep=tiny]
& \pi_1(U_1) \ar[dr] \ar[drr, "j_1", bend left=20]
&
&[1.5em] \\
\pi_1(U_1\cap U_2) \ar[ur, "i_1"] \ar[dr, "i_2"’]
&
& \pi_1(U_1) \ast_{ \pi_1(U_1\cap U_2)} \pi_1(U_2) \ar[r, dashed, "\simeq"]
& \pi_1(X) \\
& \pi_1(U_2) \ar[ur]\ar[urr, "j_2"’, bend right=20]
&
&
\end{tikzcd} [/math]
>>8192253
Seems one can't [math]\LaTeX[/math] category theory on /sci/.
>>8190136
The d is too high. What the hell, LaTeX!
>>8190533
This doesn't look all too good.
>>8189766
[math] put a fucking space [/math] in between your code and the brackets.
>>8192258
This makes me sad.
[math] \begin{matrix} & & A & \overset{f}{\longrightarrow} & B & \overset{g}{\longrightarrow} & C & \longrightarrow & \mathbf{1} \\ & & ~~\downarrow a & & ~~\downarrow b & & ~~\downarrow c \\
\mathbf{1} & \longrightarrow & A' & \overset{f'}{\longrightarrow} & B' & \overset{g'}{\longrightarrow} & C'
\end{matrix} [/math]
please work
>>8192303
Yes, the ugly matrix hack, but — good luck doing even a simple product diagram.
>>8192303
How can you make the arrows longer?
>>8192308
The matrix hack is ugly and unnatural and regardless can do only planar grid diagrams. But if you really want, let's see if the following words here (it won't): [math] \xrightarrow{\hspace*{5cm}} [/math]
Let [eqn] \mathcal{M}_{g,\mathbb{F}_p}^{\mathrm{Zzz...}} [/eqn] be the moduli stack classifying proper smooth curves of genus [math] g > 1 [/math] over [math] \mathbb{F}_p := \mathbb{Z}/p\mathbb{Z} [/math] together with a [math]dormant[/math] indigenous bundle (cf. the notation "Zzz..."!). It is known (cf. Theorem 3.3) that [math] \mathcal{M}_{g,\mathbb{F}_p}^{\mathrm{Zzz...}} [/math] is represented by a smooth, geometrically connected Deligne-Mumford stack over [math] \mathbb{F}_p [/math] of dimension [math] 3g-3 [/math]. Moreover, if we denote by [math] \mathcal{M}_{g,\mathbb{F}_p} [/math] the moduli stack classifying proper smooth curves of genus g over [math] \mathbb{F}_p [/math], then the natural projection [math] \mathcal{M}_{g,\mathbb{F}_p}^{\mathrm{Zzz...}} \rightarrow \mathcal{M}_{g,\mathbb{F}_p} [/math] is finite, faithfully flat, and generically étale.
>>8192323
[math]\color{green}{>babby's\ first\ moduli\ stacks}[/math]
>>8192323
>>8192345
[math] \color{RED}{\text{>babby's LAST moduli stacks}} [/math]
>>8190697
[math]Kek[\math]
>>8192371
[math]Kek[/math]
How do you latex in safari
>>8192524
By throwing your iToy out the window.
>>8192280
By having a program do it.
\begin{pmatrix}\begin{pmatrix}\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\\\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\end{pmatrix}&\begin{pmatrix}\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\\\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\end{pmatrix}\\\begin{pmatrix}\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\\\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\end{pmatrix}&\begin{pmatrix}\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\\\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}&\begin{pmatrix}\text{:^)}&\text{:^)}\\\text{:^)}&\text{:^)}\end{pmatrix}\end{pmatrix}\end{pmatrix}
If you want to check if your [math]\rm \LaTeX[/math] is correct.
[eqn]\displaystyle \prod _{i = 1} ^\infty e^i = \frac 1 {\sqrt[12]{e}}[/eqn]
[math]\rm\LaTeX[/math]
[math]a^2 + b^2 = c^2[/math]
[math]\vec{F} = \frac{d\vec{p}}{dt}[/math]
[math]\rho e^{i\theta}=\rho(\cos \theta +i\sin \theta)[/math]
[math]\rm i\hbar \frac{\partial}{\partial t}\Psi(\bf {r},\rm t)= \hat H \Psi (\bf r,\rm t)[/math]
Why does Latex look so pretentious?
>>8191987
my cousin has this mutation, brown and blue
>>8193226
Tikzcd
[math]\Psi(3d_{0})={\frac {1}{81{\sqrt {6\pi }}}}\left({\frac {Z}{a_{0}}}\right)^{\frac {3}{2}}{\frac {Z^{2}r^{2}}{a_{0}^{2}}}e^{-\textstyle {\frac {Zr}{3a_{0}}}}(3\cos ^{2}\theta -1)[/math]
[math]\Psi(3d_{\pm1})={\frac {1}{81{\sqrt {\pi }}}}\left({\frac {Z}{a_{0}}}\right)^{\frac {3}{2}}{\frac {Z^{2}r^{2}}{a_{0}^{2}}}e^{-\textstyle {\frac {Zr}{3a_{0}}}}\sin \theta \cos \theta e^{\pm i\phi }[/math]
[math]\Psi(3d_{\pm2})={\frac {1}{162{\sqrt {\pi }}}}\left({\frac {Z}{a_{0}}}\right)^{\frac {3}{2}}{\frac {Z^{2}r^{2}}{a_{0}^{2}}}e^{-\textstyle {\frac {Zr}{3a_{0}}}}\sin ^{2}\theta e^{\pm 2i\phi }[/math]
>>8193237
personally i like to put non-exponentiated fractions in \dfrac
[math]
\Psi(3d_{0})={\dfrac {1}{81{\sqrt {6\pi }}}}\left({\dfrac {Z}{a_{0}}}\right)^{\frac {3}{2}}{\dfrac {Z^{2}r^{2}}{a_{0}^{2}}}e^{-\textstyle {\frac {Zr}{3a_{0}}}}(3\cos ^{2}\theta -1)
[/math]
>>8189766
Any recommended text to lean [math]\LaTeX [/math]?
>>8193285
[math]
\int_a^b f(x) \cdot g'(x) dx = [f(x) \cdot g(x)] - \int_a^b f'(x) \cdot g(x) dx
[/math]
let's see here
>not one Knuth arrow up
No seriously, fuck you all.
>>8193310
Will I get good at integration if I learn all these results?
I really suck at integrating.
>>8193427
it's not a result, it's a technique. integrating by parts just makes some integrations easy because f(x) might be x which makes f'(x) 1.
>>8190722
[math]\displaystyle{\not} \partial [/math]
[math] 2^{2} [/math]
>>8192524
>safari
>>8189766
[eqn]e^{i\pi}=lel[/eqn]
[math] V-E+F=2 [/math]
[math]
\rm \LaTeX \text{ is for faggots}
[/math]
The notation used will be the following:
[math]\rho[/math] = a-c component of charge density
[math]\rho_0[/math] = average value of charge density
v = a-c component of electron velocity
[math]v_o[/math] = average value of electron velocity
[math]J_z[/math]= a-c component of current density
[math]J_0[/math]= average value of current density
[math]\frac {e}{m}[/math]= ratio of charge to mass of electron
Thus:
[math]\vec{J} \, = \,\vec{i_r} J_r \,+ \, \vec{i_\phi} J_\phi \,+ \, \vec {i_z} (J_z \,+ \, J_0)[/math]
[math]\rho_T \, =\, \rho_0 \, + \, \rho[/math]
where the [math]\vec {i}[/math] are unit vectors in cylindrical coordinates.
Continuity of charge demands that:
(10)
[math]\nabla \cdot \, \vec {J} \,+ \, \frac {\partial \rho_T}{\partial_t} \, = \,0 [/math]
since
[math]J_\phi \, = \, J_r \, = \, 0 [/math]
and
[math] \frac {\partial J_0}{\partial_z} \, = \, \frac {\partial \rho_0}{\partial_t} \, = \, 0 [/math]
the continuity equation becomes:
[math] \frac {\partial J_z}{\partial_z} \, = \, - \frac {\partial \, \rho}{\partial t} [/math]
or
(11) [math] J_z \, = \, \frac {j\omega}{\gamma} \, \rho [/math]
The force equation for non-relativistic motion is:
(12)
[math]\vec{F} \, = \, q \; |\vec{E} \, + \, \vec{v} \cdot \vec{B}|[/math]
Since the velocity of the electrons is a small fraction of the velocity of light, the force due to the magnetic field can be neglected in comparison to the force due to the electric field, so that:
(13)
[math] \frac {d}{dt} \, (v_0 \, + \, v) \, = \, - \frac {e}{m} \, E_z [/math]
Now
(14)
[math] \frac {d}{dt} \, (v_0 \, + \,v) \, = \; \frac {dv}{dt} \, = \; \frac {\partial v}{\partial t} \, + \: v_0 \, \frac {\partial v}{\partial z} \, = \; v_0 \, (j \frac {\omega}{v_0} \, - \gamma )v [/math]
Then eq (13) can be written as:
(15)
[math] v \, = \, \frac { (- \frac {e}{m} ) \, E_z}{v_o \, (j \, \frac {\omega}{v_0} \, - \, \gamma )} [/math]
>>8193770
[math]\mathrm{I~came.}[/math]
>>8192303
pastebin the code plx
>>8189779
<a href="https://www.codecogs.com/eqnedit.php?latex=Top&space;Kek" target="_blank"><img src="https://latex.codecogs.com/gif.latex?Top&space;Kek" title="Top Kek" /></a>
>>8193793
>he doesn't know how to right-click to see the code
>>8189766
[math]CH_{4}+2O_{2}=Cancer+2H_{2}O[/math]
\sum_{j=0}^{N-1} E(\psi_{j}) \geq (2\pi)^2 \frac{d}{d+2} \left( \frac{d}{|\mathbb{S}^{d-1}|} \right)^{2/d} N^{1+2/d} \frac{1}{|\Omega|^{2/d}}
[math] \sum_{j=0}^{N-1} E(\psi_{j}) \geq (2\pi)^2 \frac{d}{d+2} \left( \frac{d}{|\mathbb{S}^{d-1}|} \right)^{2/d} N^{1+2/d} \frac{1}{|\Omega|^{2/d}} [math
[math]\iiint{Hi faggots}[/math]
>>8189766
[math/]LaTex condoms give me rashes[/math]
This is fun.
[math]
T = T^{\mu_1...\mu_k}_{\nu_1...\nu_l}\omega^{(1)}_{\mu_1}...\omega^{(k)}_{\mu_k}V^{(1)\nu_1}...V^{(l)\nu_l}}
[/math]
[math]
Cum inside of me daddy
[/math]
[math]Ef\; =\; \frac{x^{2}}{2}f\; - \; \frac{1}{2}\frac{d^2\! f}{dx^2}[/math]
[math]\int_{-\infty }^{\infty }\; f^{*}\! f \;\; \mathrm{d} x\; = \; 1[/math]
>>8189766
[math]fuck[/math]
>>8189766
[eqn] \color{red}{>2016}[/eqn]
[eqn] \color{red}{>still} \hspace{2mm} \color{red}{green \hspace{2mm} posting}[/eqn]
[math]CuSO_4 + Na_2CO_3 = 2 CuCO_3 + Na_2SO_4[/math]
>>8189766
[math]X(z) \buildrel \Delta \over = \sum\limits_{n = - \infty }^\infty {x(n)z^{ - n} }[/math]
[eqn]
\begin{aligned}
\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\
\nonumber
\end{aligned}
[/eqn]
[math] \partial(f) [\math]
[math] \partial(f) [math]
>>8190697
fucking incredible
[math]\sum_{j=0}^{N-1} E(\psi_{j}) \geq (2\pi)^2 \frac{d}{d+2} \left( \frac{d}{|\mathbb{S}^{d-1}|} \right)^{2/d} N^{1+2/d} \frac{1}{|\Omega|^{2/d}}[/math]
>>8193109
makes me think it would look even more mysterious if you'd write it like
[math[ \displaystyle 2 \prod _{i = 1} ^\infty 4096^i =1 [/math]
What are good fonts for a thesis in LaTeX?
What about documentclass? Article, report, book, memoir?
>>8195350
noooooooooo
[math] \displaystyle 2 \prod _{i = 1} ^\infty 4096^i =1 [/math]
[math] poo\in \mathbb{LOO}[/math]
>>8190697
The Sierpiński triangle of [s4s].
[math]hello[/math]
>>8195354
I always like reading knuths computer standard, but arial is fine too
>>8193231
your cousin is a cat‽
>>8195827
It also serves the memetic function of being a fractal triforce.
I don't know how to use LaTeX but I did my resume in it's font so it looks like I can.
If I ever get asked Ill just learn it before I start.
[math] \color{#681c93}{\text{i}}\color{#591da0}{\text{ }}\color{#4d21ac}{\text{j}}\color{#472bb6}{\text{u}}\color{#4235c0}{\text{s}}\color{#3f41c6}{\text{t}}\color{#3e4ecb}{\text{ }}\color{#3e5bcf}{\text{s}}\color{#4067ce}{\text{p}}\color{#4273cd}{\text{e}}\color{#447ecb}{\text{n}}\color{#4887c5}{\text{t}}\color{#4c91bf}{\text{ }}\color{#5099b7}{\text{a}}\color{#569fae}{\text{ }}\color{#5ba6a5}{\text{r}}\color{#61ab9b}{\text{e}}\color{#68af91}{\text{a}}\color{#6fb388}{\text{l}}\color{#77b67e}{\text{l}}\color{#7eb875}{\text{y}}\color{#87ba6c}{\text{ }}\color{#90bc64}{\text{l}}\color{#99bd5c}{\text{o}}\color{#a2bd56}{\text{n}}\color{#abbd51}{\text{g}}\color{#b4bd4b}{\text{ }}\color{#bdbb48}{\text{t}}\color{#c5b944}{\text{i}}\color{#cdb541}{\text{m}}\color{#d4b13f}{\text{e}}\color{#daac3c}{\text{ }}\color{#dea43a}{\text{m}}\color{#e29c38}{\text{a}}\color{#e59337}{\text{k}}\color{#e58734}{\text{i}}\color{#e67b32}{\text{n}}\color{#e56e2f}{\text{g}}\color{#e25e2c}{\text{ }}\color{#e04f29}{\text{t}}\color{#de4027}{\text{h}}\color{#dc3024}{\text{i}}\color{#da2121}{\text{s}} [/math]
[eqn] \mathrm{D} \left[ \mathcal{L} , q \right] = \frac{ \mathrm{d} }{ \mathrm{d} t } \mathrm{D} \left[ \mathcal{L}, \dot{q} \right] [/eqn]
>>8195981
Worthwhile result.
>>8195355
[math]pretty \quad sure \quad your \quad math \quad is \quad off \quad there[/math]
[math]$\displaystyle{G+H = \lbrace G + H_{1}, G + H_{2}, \dots ,G + H_{\beta}, H + G_{1}, H + G_{2}, \dots ,G_{\alpha} + H \rbrace}$[/math]
>>8195983
Euler-Lagrange with ∂ in Mathematica notation?
>>8195989
[math] 2(2^{12})^{-\frac{1}{12}} = 1 ~though,~unless~you~complain~about~the~-\frac{1}{12}~meme[/math]
>>8196053
Euler-Lagrange with Euler's, Leibniz's and Newton's notations for derivatives.... but I did Euler's wrong, should be
[eqn] D_q \mathcal{L} = \frac{ \mathrm{d} }{ \mathrm{d} t } D_{ \dot{q} } \mathcal{L} [/eqn]
>>8196060
Please understand that [math]\sum_{n=1}^\infty n \stackrel{R}{=} -\frac{1}{12}[/math] so you don't look like an uneducated undergrad. The notation [math]\stackrel{R}{=}[/math] is important.
>>8196077
[math]
\color{Red} {>implying~I~don't~use~=~for~analytic~continuation}
[/math]
[math]
\color{Blue} {>not~using~\stackrel{stop~being~such~a~fucking~autist}{=}~as~the~usual~equality~sign}
[/math]
[math]a=b[\math]
[math]help\[math]
[math]
\text{ }^{\color{#571da2}{\displaystyle\text{W}}}\text{ }^{^{^{^{\color{#462eb9}{\displaystyle\text{h}}}}}}\text{ }^{^{^{^{^{^{^{\color{#3f47c8}{\displaystyle\text{y}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{\color{#3f62cf}{\displaystyle\text{ }}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#437ccc}{\displaystyle\text{i}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#4b90bf}{\displaystyle\text{s}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#56a0ae}{\displaystyle\text{ }}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#62ab99}{\displaystyle\text{t}}}}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#71b484}{\displaystyle\text{h}}}}}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#82ba70}{\displaystyle\text{i}}}}}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#96bc5f}{\displaystyle\text{s}}}}}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#a9bd52}{\displaystyle\text{ }}}}}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#bcbb48}{\displaystyle\text{o}}}}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#ceb541}{\displaystyle\text{n}}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#dcab3c}{\displaystyle\text{ }}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#e39938}{\displaystyle\text{/}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{\color{#e68033}{\displaystyle\text{s}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{\color{#e3632d}{\displaystyle\text{c}}}}}}}}}\text{ }^{^{^{^{\color{#de4227}{\displaystyle\text{i}}}}}}\text{ }^{\color{#da2121}{\displaystyle\text{/}}}
[/math]
[math] \displaystyle
\\ ax^2 + bx +c = 0 \; \; \; \; \; \; | \; \cdot 4a \\
4a^2x^2 + 4abx + 4ac = 0 \\
4a^2x^2 + 4abx = -4ac \; \; \; \; \; \; | \; +b^2 \\
4a^2x^2 + 4abx +b^2 = b^2 -4ac \\
(2ax + b)^2 = b^2 -4ac \\
2ax + b = \pm \sqrt{b^2 - 4ac} \\
2ax = -b \pm \sqrt{b^2 - 4ac} \\
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
[/math]
>>8196504
simply wonderful
[math]
A=\begin{pmatrix}
a_{11} & a_{12} & a_{13} \\
a_{21} & a_{22} & a_{23} \\
a_{31} & a_{32} & a_{33}
\end{pmatrix}
\\ \\ \\
A^* = \begin{pmatrix}
a_{11}^* & a_{12}^* & a_{13}^* \\
a_{21}^* & a_{22}^* & a_{23}^* \\
a_{31}^* & a_{32}^* & a_{33}^*
\end{pmatrix}
\\ \\ \\
A^T = \begin{pmatrix}
a_{11} & a_{21} & a_{31} \\
a_{12} & a_{22} & a_{32} \\
a_{13} & a_{23} & a_{33}
\end{pmatrix}
\\ \\ \\
A^\dagger = \begin{pmatrix}
a_{11}^* & a_{21}^* & a_{31}^* \\
a_{12}^* & a_{22}^* & a_{32}^* \\
a_{13}^* & a_{23}^* & a_{33}^*
\end{pmatrix}
\\\\ \\
if A = A^\dagger, \text{it's called a HERMITIAN}
[/math]
[math]\begin{array}{*{20}{c}}
{}&{}&0&{}&0&{}&0&{}&{} \\
{}&{}& \downarrow &{}& \downarrow &{}& \downarrow &{}&{} \\
0& \to &\mathcal{A}& \to &\mathcal{B}& \to &\mathcal{C}& \to &0 \\
{}&{}& \downarrow &{}& \downarrow &{}& \downarrow &{}&{} \\
0& \to &{{\mathbf{G}}\left( \mathcal{A} \right)}& \to &{{\mathbf{G}}\left( \mathcal{B} \right)}& \to &{{\mathbf{G}}\left( \mathcal{C} \right)}& \to &0 \\
{}&{}& \downarrow &{}& \downarrow &{}& \downarrow &{}&{} \\
0& \to &{{{\mathbf{C}}^{\mathbf{1}}}\left( \mathcal{A} \right)}& \to &{{{\mathbf{C}}^{\mathbf{1}}}\left( \mathcal{B} \right)}& \to &{{{\mathbf{C}}^{\mathbf{1}}}\left( \mathcal{C} \right)}& \to &0 \\
{}&{}& \downarrow &{}& \downarrow &{}& \downarrow &{}&{} \\
{}&{}&0&{}&0&{}&0&{}&{}
\end{array}[/math]
>>8196528
oh okay thanks
[math] \displaystyle
\left| x \right| =
\left \{
\begin{matrix}
x, x \geq 0 \\
-x, x < 0
\end{matrix}
\right .
[/math]
>>8196584
how about
[math]
\displaystyle \left| x \right| = \left \{ \begin{align} x,&\hspace{1em} x \geq 0 \\ -x,&\hspace{1em} x < 0 \end{align} \right .
[/math]
>>8189766
[math]
{/color{GreenYellow}>tfw you walk in on your dog shitting on your math textbook}
[/math]
>>8189766
[math]
/textcolor{Green}{JUST}
[/math]
>>8196597
how about
[math] |x| = \begin{cases} x & x \geq 0 \\ -x & x < 0 \end{cases} [/math]
>>8196597
ty!
>>8196528
Is this [math]A^{\dagger}[/math] which I see before me?
>>8197344
A^{\dagger} hell yeah
I like making my notes in LaTeX so I can preserve and edit them in the future without the worry of paper and pen smearing and stuff. What do you guys recommend for basic notation and formatting?
>>8190504
I remember learning peevee nurt
>>8197373
>do you guys recommen
https://latex.codecogs.com/eqneditor/editor.php
[math]\text{you} = \begin{cases}
\text{fag} & you = op \\
\neg \text{fag} & you \neq op
\end{cases}[/math]
>>8193794
oof
[math] \underset{\underset{\underset{\underset{\underset{\underset{\underset{\blacktriangle\blacktriangle}{\blacktriangle}\underset{\blacktriangle\blacktriangle}{\vartriangle}\underset{\blacktriangle\blacktriangle}{\blacktriangle}}{\blacktriangle}}{\blacktriangle}\blacktriangle}{\blacktriangle}\underset{\blacktriangle\blacktriangle}{\vartriangle}\underset{\blacktriangle\underset{\underset{\underset{\blacktriangle\blacktriangle}{\blacktriangle}\underset{\blacktriangle\blacktriangle}{\vartriangle}\underset{\blacktriangle\blacktriangle}{\blacktriangle}}{\blacktriangle}}{\blacktriangle}}{\blacktriangle}}{\blacktriangle}}{\blacktriangle}\blacktriangle}{\blacktriangle}\underset{\blacktriangle\blacktriangle}{\vartriangle}\underset{\blacktriangle\underset{\underset{\underset{\underset{\underset{\underset{\blacktriangle\blacktriangle}{\blacktriangle}\underset{\blacktriangle\blacktriangle}{\vartriangle}\underset{\blacktriangle\blacktriangle}{\blacktriangle}}{\blacktriangle}}{\blacktriangle}\blacktriangle}{\blacktriangle}\underset{\blacktriangle\blacktriangle}{\vartriangle}\underset{\blacktriangle\underset{\underset{\underset{\blacktriangle\blacktriangle}{\blacktriangle}\underset{\blacktriangle\blacktriangle}{\vartriangle}\underset{\blacktriangle\blacktriangle}{\blacktriangle}}{\blacktriangle}}{\blacktriangle}}{\blacktriangle}}{\blacktriangle}}{\blacktriangle}}{\blacktriangle} [/math]
>>8190697
Excellent.
>>8197474
Holy shit I'm cleared. What a load off my back.
[math]How do we get good at LATEX?[/math]
>>8198747
[math]\textrm{It helps to use the proper tools.}[/math]
>>8198754
[math]\textrm{Is there a tutorial I can follow?}[/math]
[ math ] proving 1 2 34 [ /math ]
\[ math testing again /math ]
>>8196535
o damn that is beautiful
i recognize this from the nine lemma, but what are those functors?
[math]
\int_{t_0}^{t_1}\phi(u(s))^Delta \Delta s
[\math]
[eqn] \int_{t_0}^{t_1}\phi(u(s))^\Delta\Delta s [\eqn]
>>8197611
Sweden is that you?
Learning so many new tricks ITT
10/10
[math] NOICE [\math]
⎛⎝⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜aaaaaaaaaaaa⎞⎠⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟
[math]⎛⎝⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜aaaaaaaaaaaa⎞⎠⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟ [\math]
[eqn]
A = 5/2*1^n
[/eqn]
>>8196508
Beautiful.
>>8193270
>>8193237
use [math]\verb|[eqn][/eqn]|[/math] tags to get automatic [math]\verb|\displaystyle|[/math] typesetting (aka [math]\verb|$$ $$|[/math] or [math]\verb|\[ \]|[/math])
also on that note friendly reminder to stop using [math]\verb|$$ $$|[/math] in actual [math]\TeX[/math] documents, we're on [math]\LaTeX \kern .15em2_{\textstyle \varepsilon }[/math] and the double dollar signs have been deprecated for literally decades.
(Ironically enough I had to make the [math]\LaTeX \kern .15em2_{\textstyle \varepsilon }[/math] symbol "by hand", indicating that MathJax likely uses old, old shit.)
>>8195981
top 5 4chan posts of all time right there
[math]T\kern -.1667em\lower .5ex\hbox {O}\kern -.125emP\kern -.1667em K\kern -.1667em\lower .5ex\hbox {E}\kern -.125emK[/math]
[eqn]0.999... = 0.\overline{9} = \lim_{n \to \infty} {\frac{9}{10} + \frac{9}{100} + \frac{9}{100} + \cdots + \frac{9}{10^{n}}} = \lim_{n \to \infty} \sum_{k=1}^{n} \frac{9}{10^{n}} = \lim_{n \to \infty} {\left( 1 - \frac{1}{10^{n}} \right)} = 1 - \lim_{n \to \infty} { \frac{1}{10^{n}} } = 1 - 0 = 1[/eqn]
[eqn]0.\overline{9} = 1[/eqn]
>>8190222
[math]testicle[/math]
[math]\color{#000000}T\text{}\color{#262626}e\color{#595959}s\color{#808080}t\color{#a6a6a6}i\color{#cccccc}n\color{#f2f2f2}g[/math]
>>8204211
How is lim(1/10^n) as n approaches infinity equal to 0? Shouldn't it be undefined?
>>8205396
you serious?
>>8205396
Wew lad back to highschool.
The most elegant possible proof of one of the most elegant theorems, all that with a proper use of [math]\LaTeX[/math] spaces and \mathrm.
[eqn]\left| \frac{\int_A^{x \,+\, h} f(t)\,\mathrm dt \,-\, \int_A^x f(t) \,\mathrm dt}{h} \,-\, f(x) \right| \,=\, \left| \frac{\int_x^{x \,+\, h} f(t)\,\mathrm dt \,-\, h\, f(x)}{h} \right| \,=\, \frac{1}{h} \, \left| \int_x^{x \,+\, h} \left[ f(t) - f(x) \right] \,\mathrm dt \right| \,\leq\, \frac{1}{h} \, \int_x^{x \,+\, h} \left| f(t) - f(x) \right| \,\mathrm dt \,\leq\, \frac{h\, \varepsilon}{h} \,=\, \varepsilon[/eqn]
[math]\mathcal{C, D, M, R}[/math]
>>8205490
Dunno what you're smoking, maybe you misread the equation. http://www.wolframalpha.com/input/?i=lim+n-%3E+inf+(1%2F10%5En)
>>8205473
cut out the third part.
second to third needs a [math] \leq [/math]
since adding an additional absolute value increases it.
third to fourth doesn't need a [math] \leq [/math] since it's guaranteed to be a positive number anyways. If it wasn't necessarily positive, you'd need to put in a [math] \geq [/math] which would ruin the proof
>>8205490
>lim as n goes to infinity
>sign analysis
yeah? you gonna approach infinity from the right you fucking moron?
>>8205500
These are square brackets in the third member. Also I should have used [math]\leqslant[/math] instead of [math]\leq[/math].
>>8205618
>Also I should have used ⩽ instead of ≤.
I prefer ≤, but how I hand-write it is an awful blend of the two. The second stroke of the < is parallel to the line, but the line is straight.
>>8205618
>These are square brackets in the third member
dayum I need to get my eyes checked.
>>8190659
*defeat
You've just lost the game.
>>8201057
Can't be, there isn't a Muslim cock forcibly buried in it. :^D
Oh yeah
>>8195978
>Memer Sponge
>>8202755
I think the logo isn't part of stock LaTeX library and actually comes from some other package.
