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How to Use LaTeX on /sci/

Anonymous Sun 15 Aug 00:11:51 2021 No.13520113 View Reply Original Report

Quoted By: >>13520118 >>13520120 >>13520126 >>13520134 >>13520265 >>13522124

How do you LaTeX on this board?

Anonymous

Anonymous Sun 15 Aug 2021 00:13:41 No.13520118 Report

Quoted By:

>>13520113
$?$
? ?

Anonymous

Anonymous Sun 15 Aug 2021 00:14:42 No.13520120 Report

Quoted By: >>13520125 >>13521655

>>13520113
$\space \space$ ?
? ?

Anonymous

Anonymous Sun 15 Aug 2021 00:15:27 No.13520125 Report

Quoted By: >>13520131

>>13520120
>'\space \space '?
>? ?
whoa

Anonymous

Anonymous Sun 15 Aug 2021 00:15:33 No.13520126 Report

Quoted By: >>13520268

>>13520113
It unlocks once you pass the 4chan math exam. You can take it every half year, the next date is 12/12 iirc.

Anonymous

Anonymous Sun 15 Aug 2021 00:17:10 No.13520131 Report

Quoted By:

>>13520125

'\space \space '?
? ?

Anonymous

Anonymous Sun 15 Aug 2021 00:19:05 No.13520134 Report

Quoted By:

>>13520113
$math is gay$

Anonymous

Anonymous Sun 15 Aug 2021 00:30:36 No.13520162 Report

Quoted By:

$\space? \\?\space \space ?$

Anonymous

Anonymous Sun 15 Aug 2021 00:33:06 No.13520169 Report

Quoted By: >>13520187

$ \frac{1+\frac{a}{b}}{1+\frac{1}{1+\frac{1}{a}}} $

Anonymous

Anonymous Sun 15 Aug 2021 00:33:08 No.13520170 Report

Quoted By:

\space e^{i\pi}+1=0 \space

Anonymous

Anonymous Sun 15 Aug 2021 00:34:00 No.13520175 Report

Quoted By:

\space $$e^{i\pi}+1=0$$ \space

Anonymous

Anonymous Sun 15 Aug 2021 00:34:31 No.13520176 Report

Quoted By:

\space$$e^{i\pi}+1=0$$\space

Anonymous

Anonymous Sun 15 Aug 2021 00:35:02 No.13520178 Report

Quoted By:

'\space $$e^{i\pi}+1=0$$ \space'

Anonymous

Anonymous Sun 15 Aug 2021 00:35:39 No.13520179 Report

Quoted By:

'\space$$e^{i\pi}+1=0$$\space'

Anonymous

Anonymous Sun 15 Aug 2021 00:39:23 No.13520187 Report

Quoted By:

>>13520169
How are you doing that?

Anonymous

Anonymous Sun 15 Aug 2021 00:42:16 No.13520192 Report

Quoted By:

$sqrt[2]$

Anonymous

Anonymous Sun 15 Aug 2021 00:42:49 No.13520194 Report

Quoted By:

$sqrt[2][2]$

Anonymous

Anonymous Sun 15 Aug 2021 00:43:27 No.13520196 Report

Quoted By:

$\sqrt[2][\math]$

Anonymous

Anonymous Sun 15 Aug 2021 00:43:58 No.13520198 Report

Quoted By:

$\sqrt[2]$

Anonymous

Anonymous Sun 15 Aug 2021 00:45:07 No.13520202 Report

Quoted By:

$\sqrt[2]$

Anonymous

Anonymous Sun 15 Aug 2021 00:46:30 No.13520205 Report

Quoted By:

$\sqrt[2][2]$

Anonymous

Anonymous Sun 15 Aug 2021 01:01:44 No.13520240 Report

Quoted By:

?
??

Anonymous

Anonymous Sun 15 Aug 2021 01:04:28 No.13520247 Report

Quoted By:

How do you do square root of two in LaTeX?

Anonymous

Anonymous Sun 15 Aug 2021 01:08:30 No.13520265 Report

Quoted By: >>13520349

>>13520113
I'm convinced that the sole purpose of LaTeX is to allow midwits to feel productive in math.
Write on paper, and take a photo of that.

Anonymous

Anonymous Sun 15 Aug 2021 01:10:26 No.13520268 Report

Quoted By:

>>13520126
Thanks.
Any hints on the subject matter?

Anonymous

Anonymous Sun 15 Aug 2021 01:24:51 No.13520308 Report

Quoted By:

$\sqrt{2}$

Anonymous

Anonymous Sun 15 Aug 2021 01:43:09 No.13520349 Report

Quoted By:

>>13520265
$\text{yes}[\math]$

Anonymous

Anonymous Sun 15 Aug 2021 10:23:26 No.13521593 Report

Quoted By: >>13521653

$ f(x)=x^n \\ \displaystyle \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h} = \lim_{h \to 0} \dfrac{(x+h)^n -x^n}{h} \\ \displaystyle = \lim_{h \to 0} \dfrac{ \displaystyle \sum_{k=0}^{n} \binom{n}{k}x^{n-k}h^{k} - x^n}{h} = \lim_{h \to 0} \dfrac{ \displaystyle \binom{n}{0}x^n + \binom{n}{1}x^{n-1}h + \sum_{k=2}^{n} \binom{n}{k}x^{n-k}h^{k} - x^n }{h} \\ \displaystyle = \lim_{h \to 0} \dfrac{ \displaystyle n x^{n-1}h + \sum_{k=2}^{n}\binom{n}{k}x^{n-k}h^{k}}{h} = n x^{n-1} $

Anonymous

Anonymous Sun 15 Aug 2021 10:57:00 No.13521653 Report

Quoted By:

>>13521593
$f(x) = x^n=x\cdot x\cdots x \implies$
$f'(x)=(x)'\cdot x \cdots x + x(x)'\cdots x +\dots + x\cdot x \dots (x)' = x^{n-1}+x^{n-1}+\dots+x^{n-1} = nx^{n-1}$
Proof that $(f_1\cdot f_2\cdots f_n)'(x)=f_1'(x)f_2(x)\cdots f_n(x)+\dots + f_1(x)\cdot f_2(x)\dots f_n'(x)$ :
Base case $n=1$ is trivial.
We will prove it for $n=2$ :
$(f_1\cdot f_2)'(x) = \lim_{h\to 0}\frac{ f_1(x+h)f_2(x+h) - f_1(x)f_2(x) }{h} = \lim_{h\to 0}\frac{ f_1(x+h)f_2(x+h) - f_1(x+h)f_2(x) +f_1(x+h)f_2(x)-f_1(x)f_2(x) }{h}$
$= \lim_{h\to 0}\left [ f_1(x+h)\frac{f_2(x+h)-f_2(x)}{h}+ f_2(x)\frac{f_1(x+h)-f_1(x)}{h} \right ]= f_1(x)f_2'(x) + f_1'(x)f_2(x)$

We will prove that it holds for any $n$ given that it holds for $n-1$ .
$(f_1\cdot f_2\dots f_n)'(x) = (f_1\dots f_{n-1})'(x)f_n(x) + (f_1\dots f_{n-1})(x)f_n'(x) = f_1'(x)f_2(x)\cdots f_n(x)+\dots + f_1(x)\cdot f_2(x)\dots f_n'(x)$ .

I have too much free time nowadays...

Anonymous

Anonymous Sun 15 Aug 2021 10:58:41 No.13521655 Report

Quoted By: >>13521656

>>13520120
It's been a long time, let's see if I remember this or if it even still works this way.
?
??

And something that shouldn't work
?
? ?

Anonymous

Anonymous Sun 15 Aug 2021 10:59:48 No.13521656 Report

Quoted By:

>>13521655
Interesting, when did Alt 255 stop working?

Anonymous

Anonymous Sun 15 Aug 2021 11:04:47 No.13521659 Report

Quoted By:

$\space \space$ ?
? ?

Anonymous

Anonymous Sun 15 Aug 2021 11:14:34 No.13521671 Report

Quoted By: >>13522134

$\int \frac{f'(x)}{f(x)}\mathrm{d}x = \ln(f(x))+c$

good mafs

Anonymous

Anonymous Sun 15 Aug 2021 11:19:10 No.13521677 Report

Quoted By:

$$Tsl$$

Anonymous

Anonymous Sun 15 Aug 2021 11:21:20 No.13521680 Report

Quoted By:

[\math] \sqrt{2} [\math]

Anonymous

Anonymous Sun 15 Aug 2021 14:43:24 No.13522124 Report

Quoted By:

>>13520113
You need 4chan premium for that

Anonymous

Anonymous Sun 15 Aug 2021 14:45:40 No.13522134 Report

Quoted By: >>13522739

>>13521671
wrong

Anonymous

Anonymous Sun 15 Aug 2021 18:37:40 No.13522739 Report

Quoted By: >>13522757

>>13522134
And could you explain how that is wrong Anon?

Anonymous

Anonymous Sun 15 Aug 2021 18:46:25 No.13522757 Report

Quoted By: >>13522761

>>13522739
f(x)=0 is counterexample

Anonymous

Anonymous Sun 15 Aug 2021 18:48:29 No.13522761 Report

Quoted By: >>13522769

>>13522757
My bad, but I bet you can't find a counterexample where f(x) ? 0

Anonymous

Anonymous Sun 15 Aug 2021 18:51:34 No.13522769 Report

Quoted By: >>13522775

>>13522761
f(x) = infty

Anonymous

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Anonymous Sun 15 Aug 2021 18:53:55 No.13522775 Report

Quoted By:

>>13522769

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