#latex | ZNotes | Page 1

zinc glade Jul 23, 2022, 10:04 PM

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First find the derivative of $C_1$ to solve for the Gradient of the tangent:\
$\frac{d}{dx}[x^2-4x+7]=2x-4\$
\
Since x=3:\
$m=2(3)-4\
m=2\
\$
Now solve for y=mx+c using coordinates at $C_1:\$
$y=x^2-4x+7\
y=3^2-4(3)+7\
y=4\
\
y=mx+c\
y-mx=c\
4-2(3)=c\
c=-2\
\
y=2x-2\$
\
Now solve for k by equating the equations of the tangent and $C_2$ together\
$y=2x-2\
y^2=4x+k\
\
(2x-2)^2=4x+k\
4x^2-8x+4=4x+k\
4x^2-12x+4-k=0\
\$
Discriminant =0 as the line is a tangent \
$b^2-4ac=0\
144-4(4[4-k])=0\
144-64+16k=0\
16k=-80\
k=-5\$
\
\
Now we can solve for the coordinates of P using this information:\
$4x^2-12x+4-(-5)=0$\
When $C_2$ and tangent are equal\
\
Solve for X:\
$4x^2-12x+9=0\
(2x-3)^2=0\
2x-3=0\
\
x=\frac{3}{2}\$
\
\
Now solve for y\
$y^2=4x+k....C_2\
\
y^2=4\left(\frac{3}{2}\right)-5\
y^2=6-5\
y^2=1
y=\pm 1\
\
y=2x-2....$ Tangent\
\
$y=2\left(\frac{3}{2}\right)-2
\
y=3-2=1
\
\
\therefore k=-5
\
\therefore P\left(\frac{3}{2}, 1\right)$

solid orioleBOT Jul 23, 2022, 10:04 PM

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skySLAYER

cursive elm Aug 3, 2022, 4:00 PM

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(mg\cos{\theta})

solid orioleBOT Aug 3, 2022, 4:00 PM

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adjectivenoun

zinc glade Aug 4, 2022, 7:51 PM

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10(a)\
f(x)=$2x^2$-3, ${ x:x\mathbb{\in R}|x<0}\$
\
f$^{-1}$(x)=$-\sqrt{\frac{x+3}{2}}$, ${ x:x\mathbb{\in R}|x\geq -3}\$
\
\
10(b)\
$f(a)=a\
2a^2-3=a\
2a^2-a-3=0\
(2a-3)(a+1)=0\
\
a=\frac{3}{2}$, $-1$
\
Domain states that x<0;\
$\therefore a=-1$

solid orioleBOT Aug 4, 2022, 7:51 PM

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skySLAYER

solid orioleBOT Aug 4, 2022, 8:22 PM

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skySLAYER

zinc glade Aug 4, 2022, 8:22 PM

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For the second last line where a statement is made

zinc glade Aug 6, 2022, 3:36 PM

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Equation of line PQ;\
\
$\frac{x}{a}-\frac{y}{b}=1\
\
\
y=\frac{xb}{a}-1b\$
\
\
Gradient of line PQ;\
\
$m=\frac{2}{5}\
\
\
m=\frac{b}{a}\
\
\
\frac{b}{a}=\frac{2}{5}
\$
\
\
Length of Line PQ; \
Where: \
$y_1=0\
\
y_2=\frac{x_2b}{a}-1b\
\
x_2=0\
\
x_1={y_1a}{b}+1a\
\
\
\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{4\cdot 29}\
\
\sqrt{\left(\frac{x_2\cdot b}{a}-b\right)^2+\left(-\frac{y_1\cdot a}{b}-a\right)^2}=\sqrt{116}\
\
\sqrt{b^2+a^2}=\sqrt{116}\
b^2+a^2=116\$
\
\
Simultaneous equations;
$b^2+a^2=116.....(1)
\
\frac{b}{a}=\frac{2}{5}.....(2)$
\
\
Using (2);\
\
$b=\frac{2a}{5}\$
\
\
Substitute for b in (1) to solve for a;\
\
$\left(\frac{2a}{5}\right)^2+a^2=116
\
29a^2=2900\
a^2=100\
a=\pm 10\
a=10$, since a and b are positive constants\
\
\
Now solve for b using (2);\
\
$b=\frac{2\cdot 10}{5}
\
b=4\
\
\
\therefore$ a=10\
$\therefore$ b=4

solid orioleBOT Aug 6, 2022, 3:37 PM

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skySLAYER

solid orioleBOT Aug 8, 2022, 6:36 AM

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EminemSomething

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EminemSomething

static warren Aug 15, 2022, 9:22 AM

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$\sqrt{\left(x1-x0\right)^2:+:\left(y1-y0\right)^2}

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??

cold parrot Aug 15, 2022, 12:29 PM

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Equation of measuring your mothers mass =;

$g{9.8}

Formula;

$m=\frac{123198}{g}
\

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ok

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,use

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,help

solid orioleBOT Aug 15, 2022, 12:30 PM

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A brief description and guide on how to use me was sent to your DMs!
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cold parrot Aug 15, 2022, 12:30 PM

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,list

solid orioleBOT Aug 15, 2022, 12:30 PM

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patent forum Aug 18, 2022, 5:09 PM

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zinc glade Equation of line PQ;\\ \\ $\frac{x}{a}-\frac{y}{b}=1\\ \\ \\ y=\frac{xb}{a}-1b\\...

naahhhhh broooo bigbrain PepeHands that's patience I don't have

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How long did that take you

zinc glade Aug 18, 2022, 7:09 PM

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patent forum How long did that take you

2 mins

zinc glade Aug 18, 2022, 7:10 PM

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patent forum How long did that take you

Watched classroom of the elite, respect bro

valid herald Aug 18, 2022, 11:05 PM

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\begin{equation}
\begin{split}
F = {F_{x} \in F_{c} &: (|S| > |C|) \
&\quad \cap (\text{minPixels} < |S| < \text{maxPixels}) \
&\quad \cap (|S_{\text{conected}}| > |S| - \epsilon) }
\end{split}
\end{equation}

solid orioleBOT Aug 18, 2022, 11:05 PM

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un1ND3X|Sigma Is The New Vision.

valid herald Aug 18, 2022, 11:06 PM

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\documentclass{article}
\usepackage{amsmath}
\usepackage{kantlipsum}
\usepackage{showframe}
\allowdisplaybreaks

\begin{document}
\kant[1-3]
\begin{align*}
a\
b\
c\
d\
e\tag{\stepcounter{equation}\theequation}\
f\
g\
h\
i
\end{align*}

\documentclass{article}

\begin{equation}
Ep = P_l \times da_i,
\end{equation}
%
where $P_l 😒 Required Personality Level of Each Resource-Assigned Personality Level of all Resources

\end{document}

solid orioleBOT Aug 18, 2022, 11:07 PM

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un1ND3X|Sigma Is The New Vision.
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

valid herald Aug 18, 2022, 11:07 PM

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good

patent forum Aug 19, 2022, 1:09 PM

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zinc glade Watched classroom of the elite, respect bro

Ayeee my man. Appreciate it.

zinc glade Aug 21, 2022, 10:58 AM

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solid oriole **EminemSomething**

Yo how'd u go to the next side over

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Like how'd u do ur working into 2 columns ?

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@sturdy sable

sturdy sable Aug 21, 2022, 11:02 AM

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zinc glade Like how'd u do ur working into 2 columns ?

I used an align* environment from the mathtools package

zinc glade Aug 21, 2022, 11:02 AM

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Can u show an eg?

sturdy sable Aug 21, 2022, 11:02 AM

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Alright I'll send you the code

zinc glade Aug 21, 2022, 11:02 AM

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Thanks bruv

sturdy sable Aug 21, 2022, 11:06 AM

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\usepackage{mathtools}
\textbf{Find the limit of {\bm{$\lim_{x\to\infty}\frac{x^3-7x^2+6x-17}{x^4-8}$}:}}
                \begin{align*}
                    &=\lim_{x\to\infty}\frac{x^3-7x^2+6x-17}{x^4-8}\\
                    &=\frac{(\infty)^3-7(\infty)-6(\infty)-17}{(\infty)^4-8}\\
                    \intertext{Since this is an $\frac{\infty}{\infty}$, we can use L`Hôpital's rule}
                    &\frac{dy}{dx}(x^3-7x^2+6x-17)&&\frac{dy}{dx}(x^4-8)&\longrightarrow\text{ L`Hôpital's rule:}\\
                    &=3x^2-14x+6&&=4x^3&\text{1st attempt}\\
                    \intertext{Since this is still an $\frac{\infty}{\infty}$ limit, we can repeatedly use L'Hôpital's rule until we get to a result:}
                    &\frac{dy}{dx}(3x^2-14x+6)&&\frac{dy}{dx}(4x^3)&\longrightarrow\text{ L`Hôpital's rule:}\\
                    &=6x-14&& =12x^2&\text{2nd attempt}\\
                    &\frac{dy}{dx}(6x-14)&&\frac{dy}{dx}(12x^2)&\longrightarrow\text{ L`Hôpital's rule:}\\
                    &=6&& =24x&\text{3rd attempt}\\
                    \intertext{Now we have:}
                    &\lim_{x\to\infty}\frac{6}{24x}\\
                    &=\frac{6}{24(\infty)}\\
                    &=\frac{6}{\infty}\\
                    &=0\\
                \end{align*}

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The & symbols are used to align everything

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so everything with an & before it will align

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everything with an && will align in a separate column

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and so on

zinc glade Aug 21, 2022, 11:13 AM

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Thanks alot

zinc glade Aug 21, 2022, 11:14 AM

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sturdy sable so everything with an & before it will align

Everything with an & on a single line right?

sturdy sable Aug 21, 2022, 11:16 AM

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zinc glade Everything with an & on a single line right?

Wdym?

zinc glade Aug 21, 2022, 1:24 PM

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sturdy sable Wdym?

U said everything with an & will align with && so the code should be on a single line or separate lines is fine as well

sturdy sable Aug 21, 2022, 10:36 PM

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zinc glade U said everything with an & will align with && so the code should be on a single...

Noo I meant everything that starts with an & will align with other lines that start with an &. And just like that, every part that starts with an && will align with other parts that start with &&

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You can code on the same line or different lines, either works

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But I prefer separate lines coz it's neater

hollow elbow Aug 31, 2022, 10:03 AM

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$S_{n} = S_{\infty} (1-r^n) $
why isn't this working man

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$S_{n} = S_{\infty} (1-r^n)$

solid orioleBOT Aug 31, 2022, 10:03 AM

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Uibi

hollow elbow Aug 31, 2022, 10:03 AM

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oh

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💀

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nvm ig

zinc glade Aug 31, 2022, 1:13 PM

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sturdy sable Noo I meant everything that starts with an & will align with other lines that st...

OHHHHH

zinc glade Aug 31, 2022, 1:14 PM

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sturdy sable But I prefer separate lines coz it's neater

It's more easier to correct mistakes

sturdy sable Aug 31, 2022, 9:17 PM

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zinc glade It's more easier to correct mistakes

Yepp

solid orioleBOT Sep 2, 2022, 3:59 AM

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Ramen

burnt summit Sep 9, 2022, 6:09 AM

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How to use latex? blobpeek think think

rotund geyser Sep 12, 2022, 10:05 AM

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,help

solid orioleBOT Sep 12, 2022, 10:05 AM

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A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

mellow dragon Sep 13, 2022, 1:41 PM

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solid oriole **Ramen**

How dare u

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I love ramen

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😭😭😭😭

golden matrix Sep 13, 2022, 6:45 PM

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mellow dragon I love ramen

You don’t know Pepe it was the final words from the legend @ramen

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PepeHands

floral topaz Sep 17, 2022, 12:05 PM

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,list

solid orioleBOT Sep 17, 2022, 12:05 PM

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cursive elm Sep 22, 2022, 4:15 PM

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(f\left(x\right)=\left{-5\le x<-3:-4x-14,\ -3\le x\le7\ :\ \left(2x+4\right)\right}\ )

solid orioleBOT Sep 22, 2022, 4:15 PM

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adjectivenoun

cursive elm Sep 25, 2022, 3:12 PM

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(\angle HAF = \arccos\frac{AF^2+AH^2-HF^2}{2AFAH})

solid orioleBOT Sep 25, 2022, 3:13 PM

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adjectivenoun

cursive elm Sep 27, 2022, 3:00 PM

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(\begin{cases}
6a = \text{3rd difference} \
9a + 3 = \text{2nd difference} \
7a + 3b + c = \text{1st difference} \
a + b + c + d = \text{1st member of sequence}
\end{cases}
)

solid orioleBOT Sep 27, 2022, 3:01 PM

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adjectivenoun

cursive elm Sep 27, 2022, 3:04 PM

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(\int_0^{\frac{\pi}{2}} \ln{\left \sin{x} \right} dx = -\frac{\pi\ln{2}}{2})

solid orioleBOT Sep 27, 2022, 3:05 PM

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adjectivenoun

\(\int_0^{\frac{\pi}{2}} \ln{\left \sin{x} \right} dx = -\frac{\pi\ln{2}}{2}\)
```Compilation error:```! Missing delimiter (. inserted).
<to be read again> 
                   \tex_let:D 
l.58 \(\int_0^{\frac{\pi}{2}} \ln{\left \sin
                                            {x} \right} dx = -\frac{\pi\ln{2...
I was expecting to see something like `(' or `\{' or
`\}' here. If you typed, e.g., `{' instead of `\{', you
should probably delete the `{' by typing `1' now, so that
braces don't get unbalanced. Otherwise just proceed.
Acceptable delimiters are characters whose \delcode is
nonnegative, or you can use `\delimiter <delimiter code>'.```

cursive elm Sep 27, 2022, 3:28 PM

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,preamble

solid orioleBOT Sep 27, 2022, 3:28 PM

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Your current preamble. Use ,texconfig to see the other LaTeX config options!

Your personal custom preamble.

% Required to support mathematical unicode
\usepackage[warnunknown, fasterrors, mathletters]{ucs}
\usepackage[utf8x]{inputenc}

% Always typeset math in display style
\everymath{\displaystyle}

% Use a larger font size
\usepackage[fontsize=14pt]{scrextend}

\usepackage{dsfont}
% Standard mathematical typesetting packages
\usepackage{amsfonts, amsthm, amsmath, amssymb}
\usepackage{mathtools}  % Extension to amsmath

% Symbol and utility packages
\usepackage{cancel, textcomp}
\usepackage[mathscr]{euscript}
\usepackage[nointegrals]{wasysym}

% Extras
\usepackage{physics}  % Lots of useful shortcuts and macros
\usepackage{tikz-cd}  % For drawing commutative diagrams easily
\usepackage{color}  % Add some colour to life
\usepackage{microtype}  % Minature font tweaks

% Common shortcuts
\def\mbb#1{\mathbb{#1}}
\def\mfk#1{\mathfrak{#1}}

\def\bN{\mbb{N}}
\def\bC{\mbb{C}}
\def\bR{\mbb{R}}
\def\bQ{\mbb{Q}}
\def\bZ{\mbb{Z}}

% Sometimes helpful macros

solid orioleBOT Sep 27, 2022, 4:19 PM

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adjectivenoun

inner ravine Sep 29, 2022, 10:27 AM

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,help

solid orioleBOT Sep 29, 2022, 10:27 AM

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A brief description and guide on how to use me was sent to your DMs!
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inner ravine Sep 29, 2022, 10:32 AM

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,list

solid orioleBOT Sep 29, 2022, 10:32 AM

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lucid spindle Sep 30, 2022, 10:04 AM

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list

#

list:

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,list

solid orioleBOT Sep 30, 2022, 10:05 AM

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late gorge Oct 1, 2022, 8:14 AM

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/rep @late gorge

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How do I check rep sbns

golden zenithBOT Oct 1, 2022, 8:14 AM

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NaNaChuu#5836's reputation

Global reputation: 3 rep

Most helped in

#ig-business-studies - 2 rep
#ig-economics - 1 rep

late gorge Oct 1, 2022, 8:14 AM

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Alright

cursive elm Oct 2, 2022, 3:26 PM

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(\int_0^\infty (4x+2)^{-2} dx \
= -\frac{1}{16x+8}\bigg|1^{\infty} \
= \left( \lim\limits{x \to \infty} -\frac{1}{16x+8} \right) - \left( -\frac{1}{24} \right) \
= \left( \lim\limits_{x \to \infty} -\frac{\frac{1}{x}}{16 + \frac{8}{x}} \right) + \frac{1}{24} \
= 0 + \frac{1}{24} \
= \frac{1}{24}
)

solid orioleBOT Oct 2, 2022, 3:28 PM

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adjectivenoun

cosmic ivy Oct 11, 2022, 9:19 AM

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,help

solid orioleBOT Oct 11, 2022, 9:19 AM

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A brief description and guide on how to use me was sent to your DMs!
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fresh kraken Oct 19, 2022, 1:35 PM

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,help

solid orioleBOT Oct 19, 2022, 1:35 PM

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A brief description and guide on how to use me was sent to your DMs!
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ivory stream Oct 23, 2022, 11:22 AM

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(\ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a})

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,help

solid orioleBOT Oct 23, 2022, 11:23 AM

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A brief description and guide on how to use me was sent to your DMs!
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ivory stream Oct 23, 2022, 11:23 AM

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\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

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tex x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

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,tex x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

solid orioleBOT Oct 23, 2022, 11:24 AM

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xQ

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}
```Compilation error:```! Missing $ inserted.
<inserted text> 
                $
l.57 x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}
                                     
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

LaTeX Font Info:    Calculating math sizes for size <14> on input line 57.
LaTeX Font Info:    Trying to load font information for U+msa on input line 57.```

jolly kraken Oct 24, 2022, 8:29 AM

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,list

solid orioleBOT Oct 24, 2022, 8:29 AM

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jolly kraken Oct 24, 2022, 8:29 AM

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,help

solid orioleBOT Oct 24, 2022, 8:29 AM

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jolly kraken Oct 24, 2022, 8:36 AM

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,calc

solid orioleBOT Oct 24, 2022, 8:36 AM

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Please give me something to evaluate.
See ,help calc for usage details.

jolly kraken Oct 24, 2022, 8:36 AM

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,help calc

solid orioleBOT Oct 24, 2022, 8:36 AM

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`calc` command documentation.

Usage

,calc <expr>

Description

Calculates the provided expressions and returns the result.

Multiple expressions may be entered simultaneously, separated by newlines.
Variables defined in one expression will be remembered in the expressions below.

For further documentation see the mathjs API docs.

Examples

,calc sin(45 deg)
,calc det([1, 1; 2, 3])
,calc 5 inches to cm

Have more questions?

Visit our support server here to speak to our friendly support team!

jolly kraken Oct 24, 2022, 8:38 AM

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,calc 2+2

solid orioleBOT Oct 24, 2022, 8:38 AM

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Result:

burnt summit Oct 24, 2022, 2:00 PM

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Oo i forgot bigbrain

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,list

solid orioleBOT Oct 24, 2022, 2:02 PM

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burnt summit Oct 24, 2022, 2:02 PM

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,help

solid orioleBOT Oct 24, 2022, 2:02 PM

#

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

ivory stream Oct 25, 2022, 8:36 AM

#

,tex x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

solid orioleBOT Oct 25, 2022, 8:36 AM

#

xQ
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

ivory stream Oct 25, 2022, 8:36 AM

#

,tex \x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

solid orioleBOT Oct 25, 2022, 8:36 AM

#

xQ
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

ivory stream Oct 25, 2022, 8:36 AM

#

,tex (x=\frac{-b\pm\sqrt{b^2-4ac}}{2a})

solid orioleBOT Oct 25, 2022, 8:36 AM

#

xQ
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

ivory stream Oct 25, 2022, 10:03 AM

#

,tex (x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

solid orioleBOT Oct 25, 2022, 10:03 AM

#

xQ
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

devout shuttle Oct 28, 2022, 8:52 AM

#

$X$

solid orioleBOT Oct 28, 2022, 8:52 AM

#

anya

devout shuttle Oct 28, 2022, 8:52 AM

#

$\sqrt 56$

solid orioleBOT Oct 28, 2022, 8:52 AM

#

anya

devout shuttle Oct 28, 2022, 8:53 AM

#

$\sqrt 8 --> (8)^1/2$

solid orioleBOT Oct 28, 2022, 8:54 AM

#

anya

devout shuttle Oct 28, 2022, 9:02 AM

#

$hello from the other side$

solid orioleBOT Oct 28, 2022, 9:02 AM

#

anya

devout shuttle Oct 28, 2022, 9:03 AM

#

$hello\medspace\ from$

solid orioleBOT Oct 28, 2022, 9:03 AM

#

anya

#

anya
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Oct 29, 2022, 5:00 PM

#

$\test$

solid orioleBOT Oct 29, 2022, 5:00 PM

#

dacia
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Oct 29, 2022, 5:00 PM

#

oh

#

💀

#

$meow$

solid orioleBOT Oct 29, 2022, 5:01 PM

#

dacia

jolly kraken Oct 29, 2022, 5:01 PM

#

oh nice

#

,list

solid orioleBOT Oct 29, 2022, 5:01 PM

#

My commands!

Use ,ls to obtain a briefer listing, and use ,help <cmd>to view detailed help for a particular command, or ,help to view general help.

If you still have questions, talk to our friendly support team here.

Moderation

Moderation commands for members, roles, and messages.
ban: Permanently remove a misbehaving user from the guild.
mute: Silence a misbehaving user for a specified amount of time.
note: Create a moderation note on a member.
kick: Kick a user from the guild.
prune: Purges messages matching selected criteria from the current channel.
unban: Unban a previously banned user.
unmute: Unmute muted users.
preban: Preemptively ban users from the guild by user id.
tickets: List a user's moderation tickets.

Mathematics

Mathematical calculatuations and computations.
calc: Calculate short mathematical expressions.
nlab: Searches the nlab
query: Query the Wolfram Alpha computation engine.

jolly kraken Oct 29, 2022, 5:02 PM

#

,help

solid orioleBOT Oct 29, 2022, 5:02 PM

#

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

sturdy sable Oct 29, 2022, 11:23 PM

#

/text{meow}

#

\text{meow}

#

Welp

zinc glade Oct 29, 2022, 11:41 PM

#

sturdy sable \text{meow}

, tex{meow}

solid orioleBOT Oct 29, 2022, 11:41 PM

#

skySLAYER

sturdy sable Oct 29, 2022, 11:55 PM

#

zinc glade , tex{meow}

Ahh

zinc glade Oct 29, 2022, 11:58 PM

#

sturdy sable Ahh

Noice

solid orioleBOT Oct 30, 2022, 12:19 AM

#

skySLAYER

zinc glade Oct 30, 2022, 12:36 AM

#

$1\left(\begin{array}{c}
n\
1\end{array}\right)+2\left(\begin{array}{c}
n\
2\end{array}\right)+3\left(\begin{array}{c}
n\
3\end{array}\right)+4\left(\begin{array}{c}
n\
4\end{array}\right)+...+n\left(\begin{array}{c}
n\
n\end{array}\right)=n2^{n-1}\
\$
\
Start with the binomial;\
$(1+x)^n=\left(\begin{array}{c}
n\
0\end{array}\right)x^0+\left(\begin{array}{c}
n\
1\end{array}\right)x^1+\left(\begin{array}{c}
n\
2\end{array}\right)x^2+\left(\begin{array}{c}
n\
3\end{array}\right)x^3+\left(\begin{array}{c}
n\
4\end{array}\right)x^4+...+\left(\begin{array}{c}
n\
n\end{array}\right)x^n$\
\
\
Now differentiate this binomial;\
$n(1+x)^{n-1}=0+1\left(\begin{array}{c}
n\
1\end{array}\right)x^1+2\left(\begin{array}{c}
n\
2\end{array}\right)x^1+3\left(\begin{array}{c}
n\
3\end{array}\right)x^2+4\left(\begin{array}{c}
n\
4\end{array}\right)x^3+...+n\left(\begin{array}{c}
n\
n\end{array}\right)x^{n-1}\$
\
\
\
Since only the sum of the coefficients is required, Assume x=1;
The above sum can also be written in summation form, for x=1 we will get another summation in combination with the binomial theorem.\
\
$\sum\limits^{n}{r=0}r\left(\begin{array}{c}
n\
r\end{array}\right)(1)^{n-r}(x)^r=n(1+x)^{n-1}\$
\
\
When x=1\
$\sum\limits^{n}{r=0}r\left(\begin{array}{c}
n\
r\end{array}\right)(1)^{n-r}(1)^r=n(1+1)^{n-1}\
\
\sum\limits^{n}_{r=0}r\left(\begin{array}{c}
n\
r\end{array}\right)=n2^{n-1}$

solid orioleBOT Oct 30, 2022, 12:36 AM

#

skySLAYER

jolly kraken Oct 30, 2022, 4:27 AM

#

$hi$

solid orioleBOT Oct 30, 2022, 4:27 AM

#

dacia

jolly kraken Oct 30, 2022, 4:27 AM

#

, tex {hi}

solid orioleBOT Oct 30, 2022, 4:27 AM

#

dacia

{hi}

jolly kraken Oct 30, 2022, 4:27 AM

#

${hi}$

solid orioleBOT Oct 30, 2022, 4:28 AM

#

dacia

jolly kraken Oct 30, 2022, 7:28 AM

#

$hi$

solid orioleBOT Oct 30, 2022, 7:28 AM

#

dac

jolly kraken Oct 30, 2022, 7:33 AM

#

, tex {meow}

solid orioleBOT Oct 30, 2022, 7:33 AM

#

dac

jolly kraken Oct 30, 2022, 7:34 AM

#

$array$

solid orioleBOT Oct 30, 2022, 7:34 AM

#

dac

jolly kraken Oct 30, 2022, 7:34 AM

#

eh

#

$(array)$

solid orioleBOT Oct 30, 2022, 7:34 AM

#

dac

jolly kraken Oct 30, 2022, 7:34 AM

#

${array}$

solid orioleBOT Oct 30, 2022, 7:34 AM

#

dac

jolly kraken Oct 30, 2022, 7:34 AM

#

😭

zinc glade Oct 30, 2022, 1:52 PM

#

jolly kraken 😭

$\left[\begin {array}{cc}
0 & 1\
a & \theta\
\end{array}\right]$

solid orioleBOT Oct 30, 2022, 1:53 PM

#

skySLAYER

devout shuttle Oct 31, 2022, 6:42 AM

#

$food\medspace\is good$

solid orioleBOT Oct 31, 2022, 6:42 AM

#

anya
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

devout shuttle Oct 31, 2022, 10:47 AM

#

$2/4 * 4/5$

solid orioleBOT Oct 31, 2022, 10:47 AM

#

anya

solid orioleBOT Nov 1, 2022, 1:36 PM

#

𝕿𝖆𝖒𝖎𝖒

fresh kindleBOT Nov 1, 2022, 5:57 PM

#

Critical error:

Unsupported language: latex

silent sentinel Nov 10, 2022, 5:42 PM

#

,help

solid orioleBOT Nov 10, 2022, 5:42 PM

#

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

tall saffron Nov 11, 2022, 3:51 AM

#

,help

solid orioleBOT Nov 11, 2022, 3:51 AM

#

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

stuck scaffold Nov 12, 2022, 4:25 PM

#

$u/space/suck$

#

$u/midspace/suck$

solid orioleBOT Nov 12, 2022, 4:25 PM

#

Aaya

stuck scaffold Nov 12, 2022, 4:25 PM

#

$u\medspace

#

$u\medspace\suck$

solid orioleBOT Nov 12, 2022, 4:26 PM

#

Aaya

$u\medspace\suck$
```Compilation error:```! Undefined control sequence.
l.57 $u\medspace\suck
                     $
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

Preview: Tightpage -1310720 -1310720 1310720 1310720
[1{/usr/local/texlive/2020/texmf-var/fonts/map/pdftex/updmap/pdftex.map}]```

stuck scaffold Nov 12, 2022, 4:26 PM

#

$4x8=32$

solid orioleBOT Nov 12, 2022, 4:26 PM

#

Aaya

stuck scaffold Nov 12, 2022, 4:26 PM

#

$4*8=32$

solid orioleBOT Nov 12, 2022, 4:26 PM

#

Aaya

stuck scaffold Nov 12, 2022, 4:27 PM

#

$4/4=1$

solid orioleBOT Nov 12, 2022, 4:27 PM

#

Aaya

stuck scaffold Nov 12, 2022, 4:27 PM

#

$lol lmao$

solid orioleBOT Nov 12, 2022, 4:27 PM

#

Aaya

stuck scaffold Nov 12, 2022, 4:27 PM

#

$lol\space\lmao$

solid orioleBOT Nov 12, 2022, 4:27 PM

#

Aaya
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

stuck scaffold Nov 12, 2022, 4:27 PM

#

,help

solid orioleBOT Nov 12, 2022, 4:27 PM

#

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

stuck scaffold Nov 12, 2022, 4:28 PM

#

,ask 3x+2=5

solid orioleBOT Nov 12, 2022, 4:28 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

stuck scaffold Nov 12, 2022, 4:29 PM

#

,ask x^2-6x>0

solid orioleBOT Nov 12, 2022, 4:29 PM

#

#

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

stuck scaffold Nov 12, 2022, 4:29 PM

#

ou

#

,kick

solid orioleBOT Nov 12, 2022, 4:32 PM

#

You don't have the required permissions to kick members here!

nova kestrel Nov 12, 2022, 4:35 PM

#

,ask x^4-6x^3+7<=0

solid orioleBOT Nov 12, 2022, 4:35 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

visual jetty Nov 12, 2022, 6:17 PM

#

,ask 3+2x=50

#

Intresting

#

If only i had that in math exams

solid orioleBOT Nov 12, 2022, 6:18 PM

#

#

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

stuck scaffold Nov 13, 2022, 2:42 PM

#

this is actually helpful lol

swift sigil Nov 19, 2022, 9:22 AM

#

,w calc $\int^25_0{\frac{5}{\sqrt{x}}$

#

@opal tree 🔻

solid orioleBOT Nov 19, 2022, 9:24 AM

#

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

opal tree Nov 19, 2022, 9:24 AM

#

yooo

#

this changes everything

swift sigil Nov 19, 2022, 9:26 AM

#

ikr

glad linden Nov 20, 2022, 10:04 PM

#

#

,rotate

zinc glade Nov 20, 2022, 10:15 PM

#

,w \frac{d}{dx}\frac{5x-1}{3-x}

swift sigil Nov 22, 2022, 1:36 PM

#

$\frac {a+b}{a}=\frac {a}{b}}=\varphi$

solid orioleBOT Nov 22, 2022, 1:36 PM

#

Rengoku||AS Level||JEE||24||
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

swift sigil Nov 23, 2022, 3:30 PM

#

$\frac {a+b}{a}=\frac {a}{b}=\varphi$

solid orioleBOT Nov 23, 2022, 3:31 PM

#

Rengoku||AS Level||JEE||24||

swift sigil Nov 24, 2022, 10:54 AM

#

,calc 65/5

solid orioleBOT Nov 24, 2022, 10:54 AM

#

Result:

gilded wraith Nov 26, 2022, 8:16 PM

#

😱

swift sigil Nov 28, 2022, 3:22 PM

#

$\frac{d}{dx}(x^{(x^x)}) = x^{(x^x + x - 1)} (x log^{2}(x) + x log(x) + 1)$

solid orioleBOT Nov 28, 2022, 3:23 PM

#

Unknown Member

olive kayak Dec 5, 2022, 9:27 AM

#

,ask x^2 - 6x^3 + 7 = 0

solid orioleBOT Dec 5, 2022, 9:27 AM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

olive kayak Dec 5, 2022, 9:28 AM

#

Hmm

vapid halo Dec 5, 2022, 10:52 AM

#

,ask 2x2

#

OHH

#

cool

spiral saffron Dec 5, 2022, 7:11 PM

#

$ 1/2(6.4^2-5.6^2) $

swift sigil Dec 8, 2022, 1:55 PM

#

,w calc $\int 1-\frac{\sqrt{x}}{21 ^3\sqrt{x}}+\frac{4 ^3\sqrt{x}}{2\sqrt{x}}+\frac{9}{ 4x^3 \sqrt{x}}$

solid orioleBOT Dec 8, 2022, 1:55 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

swift sigil Dec 8, 2022, 2:11 PM

#

$\sqrt{}$

solid orioleBOT Dec 8, 2022, 2:12 PM

#

Unknown Member

spiral saffron Dec 8, 2022, 5:03 PM

#

$\text{why ain't the bot working}$

zinc glade Dec 13, 2022, 11:47 AM

#

spiral saffron $\text{why ain't the bot working}$

$\text{why ain't the bot working}$

solid orioleBOT Dec 13, 2022, 11:48 AM

#

skySLAYER

zinc glade Dec 13, 2022, 11:48 AM

#

It is tho

prime rampart Dec 17, 2022, 3:33 PM

#

$\text{Ronaldo is the best footballer in the world}$

solid orioleBOT Dec 17, 2022, 3:33 PM

#

Goatnaldo

solid orioleBOT Dec 19, 2022, 10:17 AM

#

AlatusRex

solid orioleBOT Dec 23, 2022, 9:14 AM

#

dolpcons

fresh kindleBOT Dec 27, 2022, 7:50 AM

#

Hello! I can compile code for you. To compile code, first post a code block containing code, right click the message, go to the Apps dropdown, and select the Compile option!

If you are unfamiliar with Markdown, codeblocks can be created by formatting your message as the following.
```
<code>
```

left glade Dec 27, 2022, 7:50 AM

#

,ask x+2=4

solid orioleBOT Dec 27, 2022, 7:50 AM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

cosmic ivy Jan 2, 2023, 1:28 PM

#

,help

solid orioleBOT Jan 2, 2023, 1:28 PM

#

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

swift sigil Jan 8, 2023, 6:33 AM

#

$\trans{1}{0.5}{0.5}{1}$

solid orioleBOT Jan 8, 2023, 6:34 AM

#

Yoriichi Tsugikuni
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

zinc glade Jan 12, 2023, 10:34 PM

#

$Cosec(2\theta)\
\
= [sin(\theta)]^{-1}\
\
=\frac{1}{2\sin(\theta)\cos(\theta)}$
\
\
\
\
Now we can make use of Partial Fractions;\
\
$\frac{1}{2\sin(\theta) \cos(\theta)}= \frac{A}{2\sin(\theta)}+\frac{B}{\cos(\theta)}\
\
\
\frac{1}{2\sin(\theta)\cos(\theta)}=\frac{A\cdot \cos(\theta) + B\cdot 2\sin(\theta)}{2\sin(\theta)\cos(\theta)}\$
\
\
A must be $\cos(\theta)$ and B must be $\frac{\sin(\theta)}{2}$ as $\sin^2(\theta) + \cos^2(\theta)= 1$ due to numerators being equal I.e num(RHS)=num(LHS)\
\
$\frac{A}{2\sin(\theta)}+\frac{B}{\cos(\theta)}= \frac{\cos(\theta)}{2\sin(\theta)}+\frac{\sin(\theta)}{2\cos(\theta)}\
\
\
\
\
Cosec(2\theta)\
\
= \frac{\cos(\theta)}{2\sin(\theta)}+\frac{\sin(\theta)}{2\cos(\theta)}\
\
= \frac{1}{2\tan(\theta)} + \frac{\tan(\theta)}{2} \hspace{4mm}$ As $\left{\frac{\cos(\theta)}{\sin(\theta)}= \frac{1}{\tan(\theta)}, \frac{\sin(\theta)}{\cos(\theta)}= \tan(\theta)\right}\
\
\
=\frac{ \cot(\theta) + \tan(\theta)}{2}\
\
\
\
\therefore Cosec(2\theta)= \frac{ \cot(\theta) + \tan(\theta)}{2}$

solid orioleBOT Jan 12, 2023, 10:40 PM

#

skySLAYER

cosmic ivy Jan 13, 2023, 7:13 AM

#

$(cos^2x +sin^2x)^2$

solid orioleBOT Jan 13, 2023, 7:13 AM

#

suffering thru physics

cosmic ivy Jan 13, 2023, 7:14 AM

#

$(cosx+sinx)^2$

solid orioleBOT Jan 13, 2023, 7:14 AM

#

suffering thru physics

cosmic ivy Jan 13, 2023, 7:14 AM

#

$integral$

solid orioleBOT Jan 13, 2023, 7:14 AM

#

suffering thru physics

cosmic ivy Jan 13, 2023, 7:15 AM

#

how to get that elongated s integral shape...

#

$int(cosx+sinx)^2dx$

solid orioleBOT Jan 13, 2023, 7:17 AM

#

suffering thru physics

zinc glade Jan 13, 2023, 8:52 PM

#

cosmic ivy $integral$

Use \int

#

Instead

#

$\int{(\cos x+ \sin x)^2}dx$

#

Like this

solid orioleBOT Jan 13, 2023, 8:52 PM

#

skySLAYER

zinc glade Jan 13, 2023, 8:52 PM

#

U can also apply limits

#

If u use \limits then top limit will be written after ^ sign and bottom limit written after _ sign

#

Like this

#

$\int\limits^a_b{(\cos x+ \sin x)^2}dx$

solid orioleBOT Jan 13, 2023, 8:54 PM

#

skySLAYER

cosmic ivy Jan 14, 2023, 8:05 AM

#

ohh

#

lemme try

#

$\int{sin2xsinx}dx$

solid orioleBOT Jan 14, 2023, 8:06 AM

#

suffering thru physics

cosmic ivy Jan 14, 2023, 8:07 AM

#

$\int{(sin2xsinx)}dx$

solid orioleBOT Jan 14, 2023, 8:07 AM

#

suffering thru physics

cosmic ivy Jan 14, 2023, 8:07 AM

#

ohh nice

cosmic ivy Jan 14, 2023, 8:07 AM

#

zinc glade U can also apply limits

thanks dude

golden zenithBOT Jan 14, 2023, 8:07 AM

#

Gave +1 rep to skySLAYER#2732

zinc glade Jan 14, 2023, 9:36 PM

#

cosmic ivy thanks dude

Also whenever u write trig functions keep \ before the function

#

So \sin 2x

#

Make sure u have that space between the trig and the input

#

As sometimes it doesn't work

patent forum Jan 19, 2023, 1:18 PM

#

,help

solid orioleBOT Jan 19, 2023, 1:18 PM

#

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

swift sigil Jan 21, 2023, 10:51 AM

#

$\alpha = tan^{-1}(3) - tan^{-1}(\frac{1}{2}) \neq 45$

#

,help

solid orioleBOT Jan 21, 2023, 10:51 AM

#

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

#

Unknown User

swift sigil Jan 21, 2023, 10:52 AM

#

,help cmd

solid orioleBOT Jan 21, 2023, 10:52 AM

#

~~You really shouldn't take it literally :upside_down:.~~ Please type ,help ping, for example!
The full command list may be found using ,list.

swift sigil Jan 21, 2023, 10:52 AM

#

,list

solid orioleBOT Jan 21, 2023, 10:52 AM

#

My commands!

Use ,ls to obtain a briefer listing, and use ,help <cmd>to view detailed help for a particular command, or ,help to view general help.

If you still have questions, talk to our friendly support team here.

LaTeX Rendering

Render LaTeX code and configure rendering options.
tex: Render LaTeX code.
ctan: Searches the ctan
texdoc: Searches the texdoc
autotex: Toggle whether your LaTeX is automatically rendered.
preamble: View or modify your LaTeX preamble.
texconfig: View or modify your personal LaTeX rendering options.
guildpreamble: View or modify the guild's default LaTeX preamble

Guild Admin

Guild administration
config: View and set the guild configuration.
rmrole: Deletes the provided role
disable: Disable commands in this guild.
editrole: Create or edit a server role.
autoclean: Automatic deletion of messages in the current channel.
forgetrolesfor: Forget stored persistent roles for one or all members.

swift sigil Jan 21, 2023, 10:52 AM

#

,texdoc

solid orioleBOT Jan 21, 2023, 10:52 AM

#

Please give me something to search for!

swift sigil Jan 21, 2023, 10:52 AM

#

,nlab

solid orioleBOT Jan 21, 2023, 10:52 AM

#

Please give me something to search for!

swift sigil Jan 21, 2023, 10:53 AM

#

,nlab 6

solid orioleBOT Jan 21, 2023, 10:53 AM

#

Search results for 6

From https://ncatlab.org/nlab/search?query=6

83 results where query appeared in title. (Page 1/7)

3-brane in 6d
4-3-2 8-7-6
6-sphere
600-cell
6d Chern-Simons theory
AdS3-CFT2 on D2-D4-D6-D8 branes -- references
B6-field
C6-field
D0-D6 brane bound state
D2-D6 brane bound state
D4-D6 brane bound state
D6
D6-D8-brane bound state
D6-brane

swift sigil Jan 21, 2023, 10:53 AM

#

,preamble

solid orioleBOT Jan 21, 2023, 10:53 AM

#

Your current preamble. Use ,texconfig to see the other LaTeX config options!

Your personal custom preamble.

% Required to support mathematical unicode
\usepackage[warnunknown, fasterrors, mathletters]{ucs}
\usepackage[utf8x]{inputenc}

% Always typeset math in display style
\everymath{\displaystyle}

% Use a larger font size
\usepackage[fontsize=14pt]{scrextend}

% Standard mathematical typesetting packages
\usepackage{amsfonts, amsthm, amsmath, amssymb}
\usepackage{mathtools}  % Extension to amsmath

% Symbol and utility packages
\usepackage{cancel, textcomp}
\usepackage[mathscr]{euscript}
\usepackage[nointegrals]{wasysym}

% Extras
\usepackage{physics}  % Lots of useful shortcuts and macros
\usepackage{tikz-cd}  % For drawing commutative diagrams easily
\usepackage{color}  % Add some colour to life
\usepackage{microtype}  % Minature font tweaks

% Common shortcuts
\def\mbb#1{\mathbb{#1}}
\def\mfk#1{\mathfrak{#1}}

\def\bN{\mbb{N}}
\def\bC{\mbb{C}}
\def\bR{\mbb{R}}
\def\bQ{\mbb{Q}}
\def\bZ{\mbb{Z}}

% Sometimes helpful macros
\newcommand{\func}[3]{#1\colon#2\to#3}

swift sigil Jan 21, 2023, 10:54 AM

#

$\everymath{\displaystyle}$

solid orioleBOT Jan 21, 2023, 10:54 AM

#

Unknown User

swift sigil Jan 21, 2023, 10:54 AM

#

,preamble \everymath{\displaystyle}

solid orioleBOT Jan 21, 2023, 10:54 AM

#

Please confirm you want to submit the following preamble. (y/n)

% Required to support mathematical unicode
\usepackage[warnunknown, fasterrors, mathletters]{ucs}
\usepackage[utf8x]{inputenc}

% Always typeset math in display style
\everymath{\displaystyle}

% Use a larger font size
\usepackage[fontsize=14pt]{scrextend}

% Standard mathematical typesetting packages
\usepackage{amsfonts, amsthm, amsmath, amssymb}
\usepackage{mathtools}  % Extension to amsmath

% Symbol and utility packages
\usepackage{cancel, textcomp}
\usepackage[mathscr]{euscript}
\usepackage[nointegrals]{wasysym}

% Extras
\usepackage{physics}  % Lots of useful shortcuts and macros
\usepackage{tikz-cd}  % For drawing commutative diagrams easily
\usepackage{color}  % Add some colour to life
\usepackage{microtype}  % Minature font tweaks

% Common shortcuts
\def\mbb#1{\mathbb{#1}}
\def\mfk#1{\mathfrak{#1}}

\def\bN{\mbb{N}}
\def\bC{\mbb{C}}
\def\bR{\mbb{R}}
\def\bQ{\mbb{Q}}
\def\bZ{\mbb{Z}}

% Sometimes helpful macros
\newcommand{\func}[3]{#1\colon#2\to#3}

#

Prompt timed out, your preamble was not modified.

swift sigil Feb 6, 2023, 1:07 PM

#

$\int^2_{-1}\pi y^2 dy$

solid orioleBOT Feb 6, 2023, 1:07 PM

#

Unknown User

twin mulch Mar 25, 2023, 2:00 PM

#

, help

solid orioleBOT Mar 25, 2023, 2:00 PM

#

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

prime rampart Apr 4, 2023, 6:39 AM

#

$$\sum_{i=1}^5 2 \times (\frac{1}{\sqrt{2}})^{i-1} + \sum_{i=1}^{5}(\frac{1}{\sqrt{2}})^{i-1}]$$

solid orioleBOT Apr 4, 2023, 6:39 AM

#

HRM LordFoogThe2st

hearty notch Apr 4, 2023, 4:34 PM

#

$ A[X}_B = X$

#

$$ B[X]_B = X$$

solid orioleBOT Apr 4, 2023, 4:35 PM

#

Brave the Browser

hearty notch Apr 4, 2023, 4:39 PM

#

$$\begin{bmatrix}1 & 1\1 & -1\end{bmatrix} \begin{bmatrix} 2\0\end{bmatrix}_S = \begin{bmatrix} 1\-1\end{bmatrix} $$

solid orioleBOT Apr 4, 2023, 4:40 PM

#

Brave the Browser

hearty notch Apr 4, 2023, 4:44 PM

#

$$ \begin{bmatrix} 2\2\end{bmatrix}_S = \begin{bmatrix}0.5 & 0.5\-0.5 & 0.5\end{bmatrix} \begin{bmatrix} 2\0\end{bmatrix}$$

solid orioleBOT Apr 4, 2023, 4:48 PM

#

Brave the Browser

prime rampart Apr 5, 2023, 8:13 AM

#

,w evaluate \sum_{i=1}^{181} (30 + 6(i-1))

solid orioleBOT Apr 5, 2023, 8:13 AM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

prime rampart Apr 5, 2023, 8:21 AM

#

,w evaluate \sum_{i=1}^{10} (30 + 6i - 6)

solid orioleBOT Apr 5, 2023, 8:21 AM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

prime rampart Apr 5, 2023, 11:20 AM

#

$$U_n = U_1r^{n-1}$$

solid orioleBOT Apr 5, 2023, 11:20 AM

#

HRM LordFoogThe2st

prime rampart Apr 5, 2023, 11:21 AM

#

$$U_n = x(\frac{37.5}{100})^3$$

solid orioleBOT Apr 5, 2023, 11:22 AM

#

HRM LordFoogThe2st

prime rampart Apr 5, 2023, 11:23 AM

#

drug amount after a whole day can be given by the function:
$$f(a) = a(0.375)^3$$
\emph{where a is the amount of drug administered at the start of the day}

solid orioleBOT Apr 5, 2023, 11:23 AM

#

HRM LordFoogThe2st

prime rampart Apr 5, 2023, 11:42 AM

#

,w simplify \frac{37.5}{100}(\frac{37.5}{100}(\frac{37.5x}{100} + x) + x ) + x

solid orioleBOT Apr 5, 2023, 11:43 AM

#

Results provided by WolframAlpha

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prime rampart Apr 5, 2023, 11:46 AM

#

,w simplify x(1 + 0.375 + 0.375^2 + 0.375^3)

solid orioleBOT Apr 5, 2023, 11:46 AM

#

Results provided by WolframAlpha

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Upgrade to WolframAlpha Pro!

prime rampart Apr 5, 2023, 11:46 AM

#

jio Ff jio;ofji so;h j;fjio e

#

dfodkshflkhdakljhf

#

nooo

#

:(

regal sinew Apr 6, 2023, 11:31 AM

#

drug amount after a whole day can be given by the function:
$$f(a) = a(0.375)^3$$
\emph{where a is the amount of drug administered at the start of the day}

solid orioleBOT Apr 6, 2023, 11:31 AM

#

Army

regal sinew Apr 6, 2023, 11:31 AM

#

$$ \begin{bmatrix} 2\2\end{bmatrix}_S = \begin{bmatrix}0.5 & 0.5\-0.5 & 0.5\end{bmatrix} \begin{bmatrix} 2\0\end{bmatrix}$$

solid orioleBOT Apr 6, 2023, 11:31 AM

#

Army

regal sinew Apr 6, 2023, 11:31 AM

#

$\frac {a+b}{a}=\frac {a}{b}}=\varphi$

solid orioleBOT Apr 6, 2023, 11:31 AM

#

Army
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

regal sinew Apr 6, 2023, 11:31 AM

#

$1\left(\begin{array}{c}
n\
1\end{array}\right)+2\left(\begin{array}{c}
n\
2\end{array}\right)+3\left(\begin{array}{c}
n\
3\end{array}\right)+4\left(\begin{array}{c}
n\
4\end{array}\right)+...+n\left(\begin{array}{c}
n\
n\end{array}\right)=n2^{n-1}\
\$
\
Start with the binomial;\
$(1+x)^n=\left(\begin{array}{c}
n\
0\end{array}\right)x^0+\left(\begin{array}{c}
n\
1\end{array}\right)x^1+\left(\begin{array}{c}
n\
2\end{array}\right)x^2+\left(\begin{array}{c}
n\
3\end{array}\right)x^3+\left(\begin{array}{c}
n\
4\end{array}\right)x^4+...+\left(\begin{array}{c}
n\
n\end{array}\right)x^n$\
\
\
Now differentiate this binomial;\
$n(1+x)^{n-1}=0+1\left(\begin{array}{c}
n\
1\end{array}\right)x^1+2\left(\begin{array}{c}
n\
2\end{array}\right)x^1+3\left(\begin{array}{c}
n\
3\end{array}\right)x^2+4\left(\begin{array}{c}
n\
4\end{array}\right)x^3+...+n\left(\begin{array}{c}
n\
n\end{array}\right)x^{n-1}\$
\
\
\
Since only the sum of the coefficients is required, Assume x=1;
The above sum can also be written in summation form, for x=1 we will get another summation in combination with the binomial theorem.\
\
$\sum\limits^{n}{r=0}r\left(\begin{array}{c}
n\
r\end{array}\right)(1)^{n-r}(x)^r=n(1+x)^{n-1}\$
\
\
When x=1\
$\sum\limits^{n}{r=0}r\left(\begin{array}{c}
n\
r\end{array}\right)(1)^{n-r}(1)^r=n(1+1)^{n-1}\
\
\sum\limits^{n}_{r=0}r\left(\begin{array}{c}
n\
r\end{array}\right)=n2^{n-1}$

solid orioleBOT Apr 6, 2023, 11:31 AM

#

Army

warm reef Apr 7, 2023, 2:02 PM

#

$\mathbb{R}$

solid orioleBOT Apr 7, 2023, 2:02 PM

#

donkey loves sigma

strong reef Apr 8, 2023, 9:11 AM

#

I'm so fused

#

confused*

#

what is this

thorn vale Apr 10, 2023, 4:31 PM

#

i came for latex and am dissapointed

hearty notch Apr 12, 2023, 8:09 PM

#

This is some text in LaTeX
$$ $$

solid orioleBOT Apr 12, 2023, 8:09 PM

#

Brave the Browser

hearty notch Apr 12, 2023, 8:27 PM

#

What does a Linear Transformation look like in basis C?\
\First convert vector in basis of C to B
$$[\vec v]_B = CtoB \cdot [\vec v]_C$$
\Then Transform vector in basis of B
$$[T]_B \cdot [\vec v]_B $$
$$[T]_B \cdot (CtoB \cdot [\vec v]_C)$$
\Finally Convert transformed matrix in basis of B to basis of C
$$BtoC \cdot [T]_B \cdot [\vec v]_B$$
$$BtoC \cdot ([T]_B \cdot (CtoB \cdot [ \vec v]_C))$$
$$[T]_C = BtoC \cdot [T]_B \cdot CtoB$$
\ Matrix $ [T]_C$ is transformation matrix in basis of C
$$[T]_C \cdot [ \vec v]_C $$

solid orioleBOT Apr 12, 2023, 8:31 PM

#

Brave the Browser
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 18, 2023, 2:00 PM

#

$A_x$

solid orioleBOT Apr 18, 2023, 2:00 PM

#

dac

jolly kraken Apr 18, 2023, 2:01 PM

#

$$A_x$$

solid orioleBOT Apr 18, 2023, 2:01 PM

#

dac

jolly kraken Apr 18, 2023, 2:01 PM

#

hm

#

Meow $A_x$,
$$B_x$$

solid orioleBOT Apr 18, 2023, 2:01 PM

#

dac

jolly kraken Apr 18, 2023, 2:01 PM

#

ooooh

#

Meow $A_x$, $$B_x$$

solid orioleBOT Apr 18, 2023, 2:02 PM

#

dac

jolly kraken Apr 18, 2023, 2:02 PM

#

hm

#

interesting

jolly kraken Apr 18, 2023, 2:43 PM

#

Meow $A_x$,,, $$B_x, Meow Meow$$

solid orioleBOT Apr 18, 2023, 2:43 PM

#

dac 🐣

jolly kraken Apr 18, 2023, 2:44 PM

#

Meow $A_x$,,, $$B_x, \Meow Meow$$

solid orioleBOT Apr 18, 2023, 2:44 PM

#

dac 🐣
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 18, 2023, 2:44 PM

#

Meow $A_x$,,, $$B_x, \Meow Meow$$

twin rock Apr 18, 2023, 2:44 PM

#

Am I bad at math cuz I've never seen these at math

solid orioleBOT Apr 18, 2023, 2:44 PM

#

dac 🐣
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 18, 2023, 2:44 PM

#

bruh

#

Meow $A_x$,,, $$B_x, \Meow\ \Meow$$

solid orioleBOT Apr 18, 2023, 2:45 PM

#

dac 🐣
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 18, 2023, 2:45 PM

#

omg

#

Meow $A_x$,,, $$B_x, Meow Meow $$

solid orioleBOT Apr 18, 2023, 2:45 PM

#

dac 🐣

tough ridge Apr 22, 2023, 2:30 PM

#

0_0

#

What did i just find

#

this is some like underground cult

twin rock Apr 22, 2023, 2:43 PM

#

$$frac{1/1}$$

unkempt horizon Apr 22, 2023, 3:23 PM

#

tough ridge this is some like underground cult

it’s complicated

twin rock Apr 22, 2023, 3:44 PM

#

$$1\2%%

#

$$1\2$$

solid orioleBOT Apr 22, 2023, 3:44 PM

#

Lxst_Jedi | LSE Janitor
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

twin rock Apr 22, 2023, 3:45 PM

#

$$\frac{1}{2}$$

solid orioleBOT Apr 22, 2023, 3:45 PM

#

Lxst_Jedi | LSE Janitor

twin rock Apr 22, 2023, 3:45 PM

#

Noice

tough ridge Apr 22, 2023, 4:06 PM

#

unkempt horizon it’s complicated

I mean I do programming but it was the first time I had ever heard of latex

#

i had to google it up

unkempt horizon Apr 22, 2023, 4:07 PM

#

tough ridge I mean I do programming but it was the first time I had ever heard of latex

ye LaTeX is rly common for people going into/doing enginneering hgdjhks majors

tough ridge Apr 22, 2023, 4:07 PM

#

0.0 i didnt know

#

so they use for eingenerring

#

seems a bit too complex for me tbh

prime rampart Apr 25, 2023, 9:36 AM

#

If AB is a diameter on the circle $(x-3)^2 + (y-2)^2 = 5$, where A is (2,0) and D(5,3) lies on the circle, prove that triangle ABD is right-angled at D
\par

solid orioleBOT Apr 25, 2023, 9:37 AM

#

HRH LordFoogThe2st

prime rampart Apr 25, 2023, 9:45 AM

#

,w plot (\frac{x}{7}\right)^2 \sqrt{\left|\frac{|x|}{2}-\frac{3}{2}\right|+\frac{3}{2}-\frac{3}{10}(x^2+y^2)-y^2} - \frac{3}{7}\sqrt{10}\sqrt{\left|\frac{1}{2}-\frac{|x|}{5}\right|-\left(\frac{x}{5}\right)^2-y^2} = 0

solid orioleBOT Apr 25, 2023, 9:45 AM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

prime rampart Apr 26, 2023, 4:50 AM

#

$$\sum_{k=0}^{\infty} \frac{1}{(k+1)(k+2)(k+3)\cdots(k+n+1)}
= \frac{1}{n(n+1)(n+2)\cdots(n+n)}
\sum_{k=0}^{\infty} \frac{(-1)^k}{k+n+1}
\binom{k+n}{n}$$
where $n \in \mathbb{N}$ and $\binom{m}{n}$ is the binomial coefficient. This equation involves a summation over an infinite series of fractions, with each denominator containing one more factor than the previous term. The second part of the equation involves a summation over another infinite series, with each term being a binomial coefficient multiplied by an alternating sign. The equation is often used in combinatorics and can be derived using techniques from calculus and complex analysis. $$

solid orioleBOT Apr 26, 2023, 4:51 AM

#

HRH LordFoogThe2st

$$\sum_{k=0}^{\infty} \frac{1}{(k+1)(k+2)(k+3)\cdots(k+n+1)}
= \frac{1}{n(n+1)(n+2)\cdots(n+n)}
\sum_{k=0}^{\infty} \frac{(-1)^k}{k+n+1}
\binom{k+n}{n}$$
where $n \in \mathbb{N}$ and $\binom{m}{n}$ is the binomial coefficient. This equation involves a summation over an infinite series of fractions, with each denominator containing one more factor than the previous term. The second part of the equation involves a summation over another infinite series, with each term being a binomial coefficient multiplied by an alternating sign. The equation is often used in combinatorics and can be derived using techniques from calculus and complex analysis. $$
```Compilation error:```! Missing $ inserted.
<inserted text> 
                $
l.62 \end{document}
                   
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.```

prime rampart Apr 26, 2023, 4:51 AM

#

:(

twin rock Apr 26, 2023, 6:49 AM

#

@prime rampart wtf is this?

#

Binominal Expansion?

unkempt horizon Apr 26, 2023, 9:19 AM

#

twin rock Binominal Expansion?

yeeee

jolly kraken Apr 26, 2023, 3:24 PM

#

$meow$

solid orioleBOT Apr 26, 2023, 3:24 PM

#

♡‧₊˚ dac

jolly kraken Apr 26, 2023, 3:25 PM

#

wait

#

(x+3) $meow$

solid orioleBOT Apr 26, 2023, 3:25 PM

#

♡‧₊˚ dac

jolly kraken Apr 26, 2023, 3:25 PM

#

interesting

twin rock Apr 26, 2023, 3:39 PM

#

$frac{1}{2}$

solid orioleBOT Apr 26, 2023, 3:39 PM

#

Lxst_Jedi | LSE Janitor

twin rock Apr 26, 2023, 3:39 PM

#

$

#

\

solid orioleBOT Apr 26, 2023, 3:39 PM

#

Lxst_Jedi | LSE Janitor

$\frac{1}{2}$

twin rock Apr 26, 2023, 3:39 PM

#

Finally figured it out

tidal gazelle Apr 26, 2023, 4:26 PM

#

what is latex?

prime rampart Apr 27, 2023, 5:38 AM

#

$\sigma = \sqrt{\frac{1}{N}\sum_{i=1}^N(x_i - \mu)^2}$

solid orioleBOT Apr 27, 2023, 5:38 AM

#

HRH LordFoogThe2st

solid orioleBOT Apr 27, 2023, 5:57 AM

#

HRH LordFoogThe2st

$$\sigma = \frac{\sum x_i - \bar{x}}{n - 1}$$

prime rampart Apr 27, 2023, 5:57 AM

#

HRH LordFoogThe2st

$$\sigma^2 = \frac{\sum x_i - \bar{x}}{n - 1}$$

solid orioleBOT Apr 27, 2023, 5:57 AM

#

HRH LordFoogThe2st

jolly kraken Apr 27, 2023, 4:43 PM

#

$\meow$

solid orioleBOT Apr 27, 2023, 4:43 PM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 27, 2023, 4:43 PM

#

wtf

#

$\meow = \meow$

solid orioleBOT Apr 27, 2023, 4:43 PM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 27, 2023, 4:43 PM

#

…

#

,help

solid orioleBOT Apr 27, 2023, 4:44 PM

#

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

wraith girder Apr 27, 2023, 8:09 PM

#

$meow$

solid orioleBOT Apr 27, 2023, 8:10 PM

#

Notalex

wraith girder Apr 27, 2023, 8:10 PM

#

$7/4*10^3$

solid orioleBOT Apr 27, 2023, 8:10 PM

#

Notalex

jolly kraken Apr 28, 2023, 3:37 AM

#

$\meow=meow$

solid orioleBOT Apr 28, 2023, 3:37 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 28, 2023, 3:37 AM

#

wtf is this \ for

#

$meow=meow$

solid orioleBOT Apr 28, 2023, 3:38 AM

#

dac

jolly kraken Apr 28, 2023, 3:38 AM

#

$$meow=meow$$

solid orioleBOT Apr 28, 2023, 3:38 AM

#

dac

jolly kraken Apr 28, 2023, 3:38 AM

#

hm

#

$$(meow)={meow}/{2}/$

solid orioleBOT Apr 28, 2023, 3:38 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 28, 2023, 3:38 AM

#

WAIT

#

$(meow) = \frac{meow}{2}$

solid orioleBOT Apr 28, 2023, 3:39 AM

#

dac

jolly kraken Apr 28, 2023, 3:39 AM

#

ok

#

ok i lowkey get it now

#

$A_x$

solid orioleBOT Apr 28, 2023, 3:39 AM

#

dac

jolly kraken Apr 28, 2023, 3:40 AM

#

$/bar {x}$

solid orioleBOT Apr 28, 2023, 3:40 AM

#

dac

jolly kraken Apr 28, 2023, 3:40 AM

#

…

#

oops

#

$\bar{x}$

solid orioleBOT Apr 28, 2023, 3:41 AM

#

dac

jolly kraken Apr 28, 2023, 3:41 AM

#

$$\bar{x}$$

solid orioleBOT Apr 28, 2023, 3:41 AM

#

dac

jolly kraken Apr 28, 2023, 3:41 AM

#

hm

#

$\phi$

solid orioleBOT Apr 28, 2023, 3:42 AM

#

dac

jolly kraken Apr 28, 2023, 3:42 AM

#

OK

#

OKOKOK

jolly kraken Apr 28, 2023, 4:47 AM

#

$\gamma$

solid orioleBOT Apr 28, 2023, 4:47 AM

#

dac

jolly kraken Apr 28, 2023, 4:48 AM

#

$\gamma = lim$

solid orioleBOT Apr 28, 2023, 4:48 AM

#

dac

jolly kraken Apr 28, 2023, 4:48 AM

#

$\gamma = {lim}$

solid orioleBOT Apr 28, 2023, 4:49 AM

#

dac

jolly kraken Apr 28, 2023, 4:49 AM

#

ok

twin rock Apr 28, 2023, 4:49 AM

#

$\sigma$

solid orioleBOT Apr 28, 2023, 4:49 AM

#

Lxst_Jedi | LSE Janitor

twin rock Apr 28, 2023, 4:50 AM

#

$\sigma^2%

#

$\sigma^2$

solid orioleBOT Apr 28, 2023, 4:50 AM

#

Lxst_Jedi | LSE Janitor

jolly kraken Apr 28, 2023, 4:51 AM

#

$\arrow

#

$\arrow$

solid orioleBOT Apr 28, 2023, 4:52 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 28, 2023, 4:52 AM

#

$\approach$

solid orioleBOT Apr 28, 2023, 4:52 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 28, 2023, 4:52 AM

#

omg

#

$->$

solid orioleBOT Apr 28, 2023, 4:52 AM

#

dac

twin rock Apr 28, 2023, 4:53 AM

#

You mean =>?

#

$=>$

solid orioleBOT Apr 28, 2023, 4:53 AM

#

Lxst_Jedi | LSE Janitor

jolly kraken Apr 28, 2023, 4:53 AM

#

$\gamma = \sum_{n=1}^{\infinity}$

solid orioleBOT Apr 28, 2023, 4:53 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 28, 2023, 4:53 AM

#

BRUH

#

$\infinity$

solid orioleBOT Apr 28, 2023, 4:53 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 28, 2023, 4:53 AM

#

twin rock You mean =>?

no

twin rock Apr 28, 2023, 4:53 AM

#

$infinty$

solid orioleBOT Apr 28, 2023, 4:54 AM

#

Lxst_Jedi | LSE Janitor

jolly kraken Apr 28, 2023, 4:54 AM

#

,list

solid orioleBOT Apr 28, 2023, 4:54 AM

#

My commands!

Use ,ls to obtain a briefer listing, and use ,help <cmd>to view detailed help for a particular command, or ,help to view general help.

If you still have questions, talk to our friendly support team here.

Moderation

Moderation commands for members, roles, and messages.
ban: Permanently remove a misbehaving user from the guild.
mute: Silence a misbehaving user for a specified amount of time.
note: Create a moderation note on a member.
kick: Kick a user from the guild.
prune: Purges messages matching selected criteria from the current channel.
unban: Unban a previously banned user.
unmute: Unmute muted users.
preban: Preemptively ban users from the guild by user id.
tickets: List a user's moderation tickets.

Mathematics

Mathematical calculatuations and computations.
calc: Calculate short mathematical expressions.
nlab: Searches the nlab
query: Query the Wolfram Alpha computation engine.

jolly kraken Apr 28, 2023, 4:54 AM

#

,help cmd

solid orioleBOT Apr 28, 2023, 4:54 AM

#

~~You really shouldn't take it literally :upside_down:.~~ Please type ,help ping, for example!
The full command list may be found using ,list.

jolly kraken Apr 28, 2023, 4:55 AM

#

….

#

,help

solid orioleBOT Apr 28, 2023, 4:55 AM

#

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

jolly kraken Apr 28, 2023, 4:55 AM

#

$\infty$

solid orioleBOT Apr 28, 2023, 4:55 AM

#

dac

jolly kraken Apr 28, 2023, 4:55 AM

#

ok…

#

$\gamma = \sum{n=1}^{\infty}$

solid orioleBOT Apr 28, 2023, 4:56 AM

#

dac

jolly kraken Apr 28, 2023, 4:56 AM

#

BRRRRRRRUUUH

#

$\gamma = \sum{n=1}^{infty}$

solid orioleBOT Apr 28, 2023, 4:56 AM

#

dac

jolly kraken Apr 28, 2023, 4:56 AM

#

…

#

oh opps

#

$\gamma = \sum_{n=1}^{\infty}$

solid orioleBOT Apr 28, 2023, 4:57 AM

#

dac

jolly kraken Apr 28, 2023, 4:57 AM

#

ok

#

$\gamma = \sum_{n=1}^{\infty} = \frac{1}{1^s}$

solid orioleBOT Apr 28, 2023, 4:58 AM

#

dac

jolly kraken Apr 28, 2023, 4:59 AM

#

jolly kraken $\gamma = \sum_{n=1}^{\infty} = \frac{1}{1^s}$

$\gamma = \sum{n=1}^{\infty} = {\frac{1}{1^s}} + {\frac{1}{2^s}}$

solid orioleBOT Apr 28, 2023, 4:59 AM

#

dac

jolly kraken Apr 28, 2023, 4:59 AM

#

omgggggg

#

this is gonna be my new hobby

#

$\gamma = \sum{n=1}^{\infty}$

solid orioleBOT Apr 28, 2023, 5:00 AM

#

dac

jolly kraken Apr 28, 2023, 5:00 AM

#

oops

#

#

$f(x+iy)$

solid orioleBOT Apr 28, 2023, 5:00 AM

#

dac

jolly kraken Apr 28, 2023, 5:01 AM

#

$f(x+iy) = {\sum_{k=1}^{\infty}}{\frac {1}{k^(x+iy)}}$

solid orioleBOT Apr 28, 2023, 5:01 AM

#

dac

jolly kraken Apr 28, 2023, 5:02 AM

#

eh

#

hm

#

$f(x+iy) = {\sum_{k=1}^{\infty}}{\frac {1}{(k)^(x+iy)}}$

solid orioleBOT Apr 28, 2023, 5:04 AM

#

dac

$f(x+iy) = {\sum_{k=1}^{\infty}}{\frac {1}{(k)^(x+iy)}}$

#

dac

$f(x+iy) = {\sum_{k=1}^{\infty}}{\frac {1}{k^{(x+iy)}}$
```Compilation error:```! Missing } inserted.
<inserted text> 
                }
l.57 ...sum_{k=1}^{\infty}}{\frac {1}{k^{(x+iy)}}$
                                                  
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.```

jolly kraken Apr 28, 2023, 5:04 AM

#

COMPILE ERROR BUT IT WORKED

#

2

#

oh ok got it

#

$f(x+iy) = {\sum_{k=1}^{\infty}}{\frac {1}{k^{(x+iy)}}$

solid orioleBOT Apr 28, 2023, 5:06 AM

#

dac

$f(x+iy) = {\sum_{k=1}^{\infty}}{\frac {1}{k^{(x+iy)}}$
```Compilation error:```! Missing } inserted.
<inserted text> 
                }
l.57 ...sum_{k=1}^{\infty}}{\frac {1}{k^{(x+iy)}}$
                                                  
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.```

jolly kraken Apr 28, 2023, 5:06 AM

#

bruh

#

$f(x+iy) = {\sum_{k=1}}^{\infty}}{\frac {1}{k^{(x+iy)}}$

solid orioleBOT Apr 28, 2023, 5:08 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 28, 2023, 5:08 AM

#

…

#

$f(x+iy) = {\sum_{k=1}^{\infty}}{\frac {1}{k^{(x+iy)}}$

solid orioleBOT Apr 28, 2023, 5:08 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 28, 2023, 5:09 AM

#

hel

#

p

#

help

#

$f(x+iy) = {\sum_{k=1}^{\infty}}}{\frac {1}{k^{(x+iy)}}$

solid orioleBOT Apr 28, 2023, 5:14 AM

#

dac

$f(x+iy) = {\sum_{k=1}^{\infty}}}{\frac {1}{k^{(x+iy)}}$
```Compilation error:```! Extra }, or forgotten $.
l.57 $f(x+iy) = {\sum_{k=1}^{\infty}}}
                                      {\frac {1}{k^{(x+iy)}}$
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.```

jolly kraken Apr 28, 2023, 5:14 AM

#

hm ok

#

$f(x+iy) = {\sum_{k=1}^{\infty}}{\frac {1}{k^{(x+iy)}}$

solid orioleBOT Apr 28, 2023, 5:14 AM

#

dac

$f(x+iy) = {\sum_{k=1}^{\infty}}{\frac {1}{k^{(x+iy)}}$
```Compilation error:```! Missing } inserted.
<inserted text> 
                }
l.57 ...sum_{k=1}^{\infty}}{\frac {1}{k^{(x+iy)}}$
                                                  
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.```

jolly kraken Apr 28, 2023, 5:16 AM

#

$f(x+iy) = {\sum_{k=1}^{\infty}{\frac {1}{k^{(x+iy)}}$

solid orioleBOT Apr 28, 2023, 5:16 AM

#

dac

$f(x+iy) = {\sum_{k=1}^{\infty}{\frac {1}{k^{(x+iy)}}$
```Compilation error:```! Missing } inserted.
<inserted text> 
                }
l.57 ...\sum_{k=1}^{\infty}{\frac {1}{k^{(x+iy)}}$
                                                  
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.```

jolly kraken Apr 28, 2023, 5:16 AM

#

ok

#

$f(x+iy) = {\sum_{k=1}^{\infty}{\frac {1}{k^{(x+iy)}$

solid orioleBOT Apr 28, 2023, 5:16 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 28, 2023, 5:16 AM

#

😄

#

$f(x+iy) = {\sum_{k=1}}^{\infty}}{\frac {1}{k^{(x+iy)}}$

solid orioleBOT Apr 28, 2023, 5:17 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 28, 2023, 5:17 AM

#

uh

#

$f(x+iy) = {\sum_{k=1}^{\infty}}{\frac {1}{k^{(x+iy)}}$

solid orioleBOT Apr 28, 2023, 5:17 AM

#

dac

$f(x+iy) = {\sum_{k=1}^{\infty}}{\frac {1}{k^{(x+iy)}}$
```Compilation error:```! Missing } inserted.
<inserted text> 
                }
l.57 ...sum_{k=1}^{\infty}}{\frac {1}{k^{(x+iy)}}$
                                                  
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.```

jolly kraken Apr 28, 2023, 5:17 AM

#

$f(x+iy) = {\sum_{k=1^{\infty}}{\frac {1}{k^{(x+iy)}}$

solid orioleBOT Apr 28, 2023, 5:17 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 28, 2023, 5:18 AM

#

ok

#

$f(x+iy) = {\sum_{k=1}^{\infty}}{\frac {1}{k^{(x+iy)}}$

solid orioleBOT Apr 28, 2023, 5:19 AM

#

dac

$f(x+iy) = {\sum_{k=1}^{\infty}}{\frac {1}{k^{(x+iy)}}$
```Compilation error:```! Missing } inserted.
<inserted text> 
                }
l.57 ...sum_{k=1}^{\infty}}{\frac {1}{k^{(x+iy)}}$
                                                  
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.```

jolly kraken Apr 28, 2023, 5:20 AM

#

$f(x+iy) = {\sum_{k=1}}^{\infty}}{\frac {1}{k^{(x+iy)}}$

solid orioleBOT Apr 28, 2023, 5:20 AM

#

dac

$f(x+iy) = {\sum_{k=1}}^{\infty}}{\frac {1}{k^{(x+iy)}}$
```Compilation error:```! Extra }, or forgotten $.
l.57 $f(x+iy) = {\sum_{k=1}}^{\infty}}
                                      {\frac {1}{k^{(x+iy)}}$
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.```

jolly kraken Apr 28, 2023, 5:20 AM

#

imma cry

#

$f(x+iy) = {\sum_{k=1}}^{\infty}}$${\frac {1}{k^{(x+iy)}}$

solid orioleBOT Apr 28, 2023, 5:22 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 28, 2023, 5:25 AM

#

$f(x+iy) = {\sum_ {k+1}{\infty}}$

solid orioleBOT Apr 28, 2023, 5:25 AM

#

dac

jolly kraken Apr 28, 2023, 5:26 AM

#

$f(x+iy) = {\sum_ {k+1}^{\infty}}$

solid orioleBOT Apr 28, 2023, 5:26 AM

#

dac

jolly kraken Apr 28, 2023, 5:26 AM

#

$f(x+iy) = {\sum_ {k+1}^{\infty}}$$\frac{1}{k^{x+iy}}$

solid orioleBOT Apr 28, 2023, 5:26 AM

#

dac

jolly kraken Apr 28, 2023, 5:27 AM

#

my god

#

$f(x+iy) = {\sum_ {k=1}^{\infty}}$$\frac{1}{k^{(x+iy)}}$

solid orioleBOT Apr 28, 2023, 5:27 AM

#

dac

jolly kraken Apr 28, 2023, 5:27 AM

#

ok

#

finally

#

$\mod$

solid orioleBOT Apr 28, 2023, 5:30 AM

#

dac

jolly kraken Apr 28, 2023, 5:30 AM

#

$\mod {x}$

solid orioleBOT Apr 28, 2023, 5:30 AM

#

dac

jolly kraken Apr 28, 2023, 5:31 AM

#

$\equiv$

solid orioleBOT Apr 28, 2023, 5:31 AM

#

dac

jolly kraken Apr 28, 2023, 5:32 AM

#

$\left$

solid orioleBOT Apr 28, 2023, 5:32 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 28, 2023, 5:32 AM

#

$|x$

solid orioleBOT Apr 28, 2023, 5:32 AM

#

dac

jolly kraken Apr 28, 2023, 5:32 AM

#

$|x|$

solid orioleBOT Apr 28, 2023, 5:32 AM

#

dac

jolly kraken Apr 28, 2023, 6:12 AM

#

$\lambda$

solid orioleBOT Apr 28, 2023, 6:12 AM

#

dac

jolly kraken Apr 28, 2023, 6:13 AM

#

twin rock Apr 28, 2023, 6:13 AM

#

Are you trying to type this?

jolly kraken Apr 28, 2023, 6:13 AM

#

$\int{dx}{(x^2 +2)^2}$

solid orioleBOT Apr 28, 2023, 6:13 AM

#

dac

jolly kraken Apr 28, 2023, 6:13 AM

#

twin rock Are you trying to type this?

yea

#

$\int {\frac{dx}{(x^2 +2)^2}}$

solid orioleBOT Apr 28, 2023, 6:14 AM

#

dac

twin rock Apr 28, 2023, 6:14 AM

#

%\int\frac{dx}{x^2 + 2)^2)}$

#

,rotate

solid orioleBOT Apr 28, 2023, 6:14 AM

#

jolly kraken Apr 28, 2023, 6:15 AM

#

$\int {\frac{dx}{(x^2 +2)^2}}$
\put $x = \sqr root{2} tan u$

#

ops

solid orioleBOT Apr 28, 2023, 6:15 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 28, 2023, 6:15 AM

#

ok

#

$\int {\frac{dx}{(x^2 +2)^2}}$
put $\sqrt{2}$

solid orioleBOT Apr 28, 2023, 6:16 AM

#

dac

jolly kraken Apr 28, 2023, 6:16 AM

#

$\int {\frac{dx}{(x^2 +2)^2}}$
put $$\sqrt{2}$$

solid orioleBOT Apr 28, 2023, 6:16 AM

#

dac

jolly kraken Apr 28, 2023, 6:17 AM

#

LSKSKKS

#

$\int {\frac{dx}{(x^2 +2)^2}}$
\put $\sqrt{2}$

#

bruh

solid orioleBOT Apr 28, 2023, 6:17 AM

#

dac

jolly kraken Apr 28, 2023, 6:17 AM

#

ok

#

#

$\int {\frac{dx}{(x^2 +2)^2}}$
\put $\sqrt{2} tan u$

solid orioleBOT Apr 28, 2023, 6:18 AM

#

dac

jolly kraken Apr 28, 2023, 6:18 AM

#

$\int {\frac{dx}{(x^2 +2)^2}}$
\put $\sqrt{2} tan u$
\ $dx = \sqrt {2} sec^2 u du$

#

…

solid orioleBOT Apr 28, 2023, 6:20 AM

#

dac

jolly kraken Apr 28, 2023, 6:20 AM

#

#

$\int {\frac{dx}{(x^2 +2)^2}}$
\put $\sqrt{2} tan u$
\ $dx = \sqrt {2} sec^2 u du$
\ $\int{\frac{dx}{(x^2 + 2)^2}} = \int {\frac{\sqrt {2} sec^2 u du}{(2 tan^2 u + 2)^2}} = \int{\frac{\sqrt{2} sec^2 u du}{4(tan^2 u + 1)^2}}$
\
\$= \frac{\sqrt{2}}{4}$$\int{\frac{sec^2 u du}{(sec^2 u)^2}} = {\frac{\sqrt {2}}{4}}\int {cos^2 u}{du}$
\ $ = \frac {\sqrt {2}}{4}$•$\frac {1}{2} \int{[1+cos2u]} du$
\$\frac {\sqrt {2}}{8}$$[u + \frac{sin 2u}{2}] + C$$=\frac{\sqrt{2}}{8}$$[u + sin u cos u] + C$
\$= \frac{\sqrt{2}}{8}$

#

how do yall space it out so evenly

solid orioleBOT Apr 28, 2023, 6:39 AM

#

dac

jolly kraken Apr 28, 2023, 6:39 AM

#

$\arctan(x)$

solid orioleBOT Apr 28, 2023, 6:39 AM

#

dac

$\arctan(x)$

jolly kraken Apr 28, 2023, 6:40 AM

#

WHAT IS THE COMMAND

#

FOR INVERSE TANGENT

#

$\invtan$

solid orioleBOT Apr 28, 2023, 6:40 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken Apr 28, 2023, 6:42 AM

#

$\int {\frac{dx}{(x^2 +2)^2}}$
\put $\sqrt{2} tan u$
\ $dx = \sqrt {2} sec^2 u du$
\ $\int{\frac{dx}{(x^2 + 2)^2}} = \int {\frac{\sqrt {2} sec^2 u du}{(2 tan^2 u + 2)^2}} = \int{\frac{\sqrt{2} sec^2 u du}{4(tan^2 u + 1)^2}}$
\
\$= \frac{\sqrt{2}}{4}$$\int{\frac{sec^2 u du}{(sec^2 u)^2}} = {\frac{\sqrt {2}}{4}}\int {cos^2 u}{du}$
\ $ = \frac {\sqrt {2}}{4}$•$\frac {1}{2} \int{[1+cos2u]} du$
\$\frac {\sqrt {2}}{8}$$[u + \frac{sin 2u}{2}] + C$$=\frac{\sqrt{2}}{8}$$[u + sin u cos u] + C$
\$= \frac{\sqrt{2}}{8}$

solid orioleBOT Apr 28, 2023, 6:42 AM

#

dac

$\int {\frac{dx}{(x^2 +2)^2}}$
\\put $\sqrt{2} tan u$
\\ $dx = \sqrt {2} sec^2 u du$
\\ $\int{\frac{dx}{(x^2 + 2)^2}} = \int {\frac{\sqrt {2} sec^2 u du}{(2 tan^2 u + 2)^2}} = \int{\frac{\sqrt{2} sec^2 u du}{4(tan^2 u + 1)^2}}$
\\
\\$= \frac{\sqrt{2}}{4}$$\int{\frac{sec^2 u du}{(sec^2 u)^2}} = {\frac{\sqrt {2}}{4}}\int {cos^2 u}{du}$
\\ $ = \frac {\sqrt {2}}{4}$•$\frac {1}{2} \int{[1+cos2u]} du$
\\$\frac {\sqrt {2}}{8}$$[u + \frac{sin 2u}{2}] + C$$=\frac{\sqrt{2}}{8}$$[u + sin u cos u] + C$
\\$= \frac{\sqrt{2}}{8}$

jolly kraken Apr 28, 2023, 7:26 AM

#

#

$\int {\frac{dx}{(x^2 +2)^2}}$
\put $\sqrt{2} tan u$
\ $dx = \sqrt {2} sec^2 u du$
\ $\int{\frac{dx}{(x^2 + 2)^2}} = \int {\frac{\sqrt {2} sec^2 u du}{(2 tan^2 u + 2)^2}} = \int{\frac{\sqrt{2} sec^2 u du}{4(tan^2 u + 1)^2}}$
\
\$= \frac{\sqrt{2}}{4}$$\int{\frac{sec^2 u du}{(sec^2 u)^2}} = {\frac{\sqrt {2}}{4}}\int {cos^2 u}{du}$
\ $ = \frac {\sqrt {2}}{4}$•$\frac {1}{2} \int{[1+cos2u]} du$
\$\frac {\sqrt {2}}{8}$$[u + \frac{sin 2u}{2}] + C$$=\frac{\sqrt{2}}{8}$$[u + sin u cos u] + C$
\$= \frac{\sqrt{2}}{8}$$[arctan(\frac{x}{\sqrt{2}}) + {(\frac{x}{\sqrt{x^2 + 2}})}$$(\frac{\sqrt{2}}{\sqrt {x^2 + 2}}) ] + C$
\$=\frac{\sqrt{2}}{8}$$[arctan (\frac{x}{\sqrt{2}}) + (\frac{x•\sqrt{2}}{x^2 + 2})] + C$

solid orioleBOT Apr 28, 2023, 7:41 AM

#

dac

jolly kraken Apr 28, 2023, 7:41 AM

#

OMG

#

FINALLY

jolly kraken Apr 28, 2023, 8:28 AM

#

$tan^-1$

solid orioleBOT Apr 28, 2023, 8:28 AM

#

dac

jolly kraken Apr 28, 2023, 8:28 AM

#

$\tan^-1$

solid orioleBOT Apr 28, 2023, 8:28 AM

#

dac

static yarrow Apr 28, 2023, 9:12 AM

#

,tex
\begin{tikzpicture}
\newcommand{\rngcolor}{\definecolor{rngcolor}{RGB}
{
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax
}}
\foreach \i in {0,...,90}
{
\rngcolor
\draw[rngcolor,thick] (0,0) -- (4 * \i:1) -- ++(4*\i + 55:1) -- ++(4*\i:1) -- ++(4*\i + 60:1) -- ++(4*\i:1) -- ++(4*\i + 65:1) -- ++(4*\i:1) -- ++(4*\i + 70:1);
}

\end{tikzpicture}

solid orioleBOT Apr 28, 2023, 9:12 AM

#

DrYpTiC

twin rock Apr 28, 2023, 9:21 AM

#

static yarrow ,tex \begin{tikzpicture} \newcommand{\rngcolor}{\definecolor{rngcolor}{RGB} { \...

Are y...you th...the g...o....d?

jolly kraken Apr 28, 2023, 10:00 AM

#

$e$

solid orioleBOT Apr 28, 2023, 10:00 AM

#

dac

jolly kraken Apr 28, 2023, 10:00 AM

#

$r = \frac{\sum_{i}$•(y_i - \bar{y})}{\sqrt{\sum_{i}(x_i - \bar{x})^2}}{\sqrt{\sum_{i}(y_i - \bar{y})^2}}$

#

oops

#

eh

solid orioleBOT Apr 28, 2023, 10:13 AM

#

dac

jolly kraken Apr 28, 2023, 10:14 AM

#

$\sum_{k=1}$

solid orioleBOT Apr 28, 2023, 10:14 AM

#

dac

$\sum_{k=1}$

jolly kraken Apr 28, 2023, 10:14 AM

#

HMMMMM

#

$\sum_{i}$

solid orioleBOT Apr 28, 2023, 10:15 AM

#

dac

jolly kraken Apr 28, 2023, 10:15 AM

#

bruh

static yarrow Apr 28, 2023, 12:25 PM

#

,tex
\begin{tikzpicture}
\newcommand{\rngcolor}{\definecolor{rngcolor}{RGB}
{
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax
}}
\foreach \i in {0,...,90}
{
\rngcolor
\draw[rngcolor,thick] (0,0) -- (4 * \i:1) -- ++(4*\i + 55:1) -- ++(4*\i:1) -- ++(4*\i + 60:1) -- ++(4*\i:1) -- ++(4*\i + 65:1) -- ++(4*\i:1) -- ++(4*\i + 70:1);
}

\end{tikzpicture}

solid orioleBOT Apr 28, 2023, 12:25 PM

#

DrYpTiC

static yarrow Apr 28, 2023, 12:26 PM

#

,tex
\begin{tikzpicture}
\newcommand{\rngcolor}{\definecolor{rngcolor}{RGB}
{
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax
}}
\foreach \i in {0,...,90}
{
\rngcolor
\draw[rngcolor,thick] (0,0) -- (4 * \i:1) -- ++(4*\i + 55:1) -- ++(4*\i:1) -- ++(4*\i + 60:1) -- ++(4*\i:1) -- ++(4*\i + 65:1) -- ++(4*\i:1) -- ++(4*\i + 70:1);
}

\end{tikzpicture}

solid orioleBOT Apr 28, 2023, 12:26 PM

#

DrYpTiC

static yarrow Apr 28, 2023, 12:26 PM

#

hmmm

twin rock Apr 28, 2023, 12:42 PM

#

static yarrow hmmm

bro enough, you embarrassed me enough

meager plaza Apr 28, 2023, 4:07 PM

#

oh

solid orioleBOT Apr 28, 2023, 4:07 PM

#

pine

meager plaza Apr 28, 2023, 4:07 PM

#

hmm

#

oh

dusky acorn Apr 28, 2023, 4:28 PM

#

solid oriole **DrYpTiC**

What in the

#

,tex
\begin{tikzpicture}
\newcommand{\rngcolor}{\definecolor{rngcolor}{RGB}
{
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax
}}
\foreach \i in {0,...,90}
{
\rngcolor
\draw[rngcolor,thick] (0,0) -- (4 * \i:1) -- ++(4*\i + 55:1) -- ++(4*\i:1) -- ++(4*\i + 60:1) -- ++(4*\i:1) -- ++(4*\i + 65:1) -- ++(4*\i:1) -- ++(4*\i + 70:1);
}

\end{tikzpicture}

solid orioleBOT Apr 28, 2023, 4:28 PM

#

Gojo's_Mekuri | IIT Janitor

dusky acorn Apr 28, 2023, 4:28 PM

#

Damn

twin rock Apr 28, 2023, 4:29 PM

#

,tex
\begin{tikzpicture}
\newcommand{\rngcolor}{\definecolor{rngcolor}{RGB}
{
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax
}}
\foreach \i in {0,...,90}
{
\rngcolor
\draw[rngcolor,thick] (0,0) -- (4 * \i:1) -- ++(4\i + 55:1) -- ++(4\i:1) -- ++(4\i + 60:1) -- ++(4\i:1) -- ++(4\i + 65:1) -- ++(4\i:1) -- ++(4*\i + 70:1);
}

solid orioleBOT Apr 28, 2023, 4:29 PM

#

Lxst_Jedi | LSE Janitor
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

ruby cipher Apr 29, 2023, 6:32 AM

#

\boxed{\v=\frac d t}

static yarrow Apr 29, 2023, 11:21 AM

#

twin rock ,tex \begin{tikzpicture} \newcommand{\rngcolor}{\definecolor{rngcolor}{RGB} { \...

u forgot the /end{tikzpicture}

#

,tex
\begin{tikzpicture}
\newcommand{\rngcolor}{\definecolor{rngcolor}{RGB}
{
\the\numexpr125 + \pdfuniformdeviate 200\relax,
\the\numexpr125 + \pdfuniformdeviate 200\relax,
\the\numexpr125 + \pdfuniformdeviate 200\relax
}}
\foreach \i in {0,...,90}
{
\rngcolor
\draw[rngcolor,thick] (0,0) -- (4 * \i:1) -- ++(4*\i + 55:1) -- ++(4*\i:1) -- ++(4*\i + 60:1) -- ++(4*\i:1) -- ++(4*\i + 65:1) -- ++(4*\i:1) -- ++(4*\i + 70:1);
}

\end{tikzpicture}

solid orioleBOT Apr 29, 2023, 11:22 AM

#

DrYpTiC
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

static yarrow Apr 29, 2023, 11:22 AM

#

trash

#

,tex
\begin{tikzpicture}
\newcommand{\rngcolor}{\definecolor{rngcolor}{RGB}
{
\the\numexpr125 + \pdfuniformdeviate 29\relax,
\the\numexpr125 + \pdfuniformdeviate 29\relax,
\the\numexpr125 + \pdfuniformdeviate 29\relax
}}
\foreach \i in {0,...,90}
{
\rngcolor
\draw[rngcolor,thick] (0,0) -- (4 * \i:1) -- ++(4*\i + 55:1) -- ++(4*\i:1) -- ++(4*\i + 60:1) -- ++(4*\i:1) -- ++(4*\i + 65:1) -- ++(4*\i:1) -- ++(4*\i + 70:1);
}

\end{tikzpicture}

solid orioleBOT Apr 29, 2023, 11:23 AM

#

DrYpTiC

static yarrow Apr 29, 2023, 11:23 AM

#

nahhh

#

,tex
\begin{tikzpicture}
\newcommand{\rngcolor}{\definecolor{rngcolor}{R}
{
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax
}}
\foreach \i in {0,...,90}
{
\rngcolor
\draw[rngcolor,thick] (0,0) -- (4 * \i:1) -- ++(4*\i + 55:1) -- ++(4*\i:1) -- ++(4*\i + 60:1) -- ++(4*\i:1) -- ++(4*\i + 65:1) -- ++(4*\i:1) -- ++(4*\i + 70:1);
}

\end{tikzpicture}

solid orioleBOT Apr 29, 2023, 11:23 AM

#

DrYpTiC
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

polar python Apr 30, 2023, 2:50 PM

#

$_a^b\int\pi x^2 dx$

solid orioleBOT Apr 30, 2023, 2:51 PM

#

Unknown User | Harvard Janitor

olive kayak May 1, 2023, 1:11 PM

#

,tex
\begin{tikzpicture}
\newcommand{\rngcolor}{\definecolor{rngcolor}{RGB}
{
\the\numexpr125 + \pdfuniformdeviate 29\relax,
\the\numexpr125 + \pdfuniformdeviate 29\relax,
\the\numexpr125 + \pdfuniformdeviate 29\relax
}}
\foreach \i in {0,...,90}
{
\rngcolor
\draw[rngcolor,thick] (0,0) -- (4 * \i:1) -- ++(4\i + 55:1) -- ++(4\i:1) -- ++(4\i + 60:1) -- ++(4\i:1) -- ++(4\i + 65:1) -- ++(4\i:1) -- ++(4*\i + 70:1);
}

\end{tikzpicture}

solid orioleBOT May 1, 2023, 1:11 PM

#

Advis

olive kayak May 1, 2023, 1:11 PM

#

,tex
\begin{tikzpicture}
\newcommand{\rngcolor}{\definecolor{rngcolor}{RGB}
{
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax
}}
\foreach \i in {0,...,90}
{
\rngcolor
\draw[rngcolor,thick] (0,0) -- (4 * \i:1) -- ++(4\i + 55:1) -- ++(4\i:1) -- ++(4\i + 60:1) -- ++(4\i:1) -- ++(4\i + 65:1) -- ++(4\i:1) -- ++(4*\i + 70:1);
}

\end{tikzpicture}

solid orioleBOT May 1, 2023, 1:11 PM

#

Advis

twin rock May 1, 2023, 1:14 PM

#

olive kayak ,tex \begin{tikzpicture} \newcommand{\rngcolor}{\definecolor{rngcolor}{RGB} { \...

you proved im dumb and useless in less than 1 second skullcry

solid orioleBOT May 1, 2023, 3:04 PM

#

Unknown User | Harvard Janitor

#

Unknown User | Harvard Janitor
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

dusky acorn May 2, 2023, 8:20 PM

#

$SO_4^2-$

solid orioleBOT May 2, 2023, 8:20 PM

#

Gojo's_Mekuri | IIT Cook

dusky acorn May 2, 2023, 8:21 PM

#

$SO_4 ^2-$

solid orioleBOT May 2, 2023, 8:21 PM

#

Gojo's_Mekuri | IIT Cook

dusky acorn May 2, 2023, 8:21 PM

#

$SO_4^2^-$

solid orioleBOT May 2, 2023, 8:21 PM

#

Gojo's_Mekuri | IIT Cook
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken May 12, 2023, 8:17 AM

#

$\multiply$

solid orioleBOT May 12, 2023, 8:17 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken May 12, 2023, 8:17 AM

#

$\times$

solid orioleBOT May 12, 2023, 8:17 AM

#

dac

jolly kraken May 12, 2023, 8:17 AM

#

Ok

#

#

$(x+a)^n = \sum_{k=0}^{n} \array_{k}^{n}$

#

Wait

solid orioleBOT May 12, 2023, 8:18 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken May 12, 2023, 8:19 AM

#

$\left[\begin {array}{cc}
0 & 1\
a & \theta\
\end{array}\right]$

solid orioleBOT May 12, 2023, 8:19 AM

#

dac

twin rock May 12, 2023, 8:19 AM

#

solid oriole **dac**

this is a matrix rit?

#

$frac{theta}{x}$

jolly kraken May 12, 2023, 8:20 AM

#

$(x+a)^n = \sum_{k=0}^{n} \top[\begin {array}{cc} 0 & 1\end{array}\bottom]$

solid orioleBOT May 12, 2023, 8:20 AM

#

Lxst_Jedi | LSE Janitor

twin rock May 12, 2023, 8:20 AM

#

$\frac{\theta}{x}$

solid orioleBOT May 12, 2023, 8:20 AM

#

Lxst_Jedi | LSE Janitor
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

twin rock May 12, 2023, 8:20 AM

#

$\frac{\theta}{x}$

solid orioleBOT May 12, 2023, 8:20 AM

#

Lxst_Jedi | LSE Janitor

twin rock May 12, 2023, 8:21 AM

#

solid oriole **Lxst\_Jedi \| LSE Janitor**

Further Math

solid orioleBOT May 12, 2023, 8:21 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken May 12, 2023, 8:21 AM

#

Bruh

#

$(x+a)^n = \sum_{k=0}^{n}
\left[\begin {array}{c} 0\ 1\
\end{array}\right]$

#

$\hobx$

solid orioleBOT May 12, 2023, 8:23 AM

#

dac
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

jolly kraken May 12, 2023, 8:24 AM

#

Oh ok

#

I see

solid orioleBOT May 12, 2023, 8:25 AM

#

dac

jolly kraken May 12, 2023, 8:26 AM

#

$(x+a)^n = \sum_{k=0}^{n}
\left(\begin {array}{c} n\
k\
\end{array}\right)$

#

#

Tf am i doing wrong

solid orioleBOT May 12, 2023, 8:28 AM

#

dac

jolly kraken May 12, 2023, 8:29 AM

#

$\left(\begin{array}{c} -a
-b
\end{array}\right)$

#

……….

solid orioleBOT May 12, 2023, 8:29 AM

#

dac

polar python May 16, 2023, 4:21 PM

#

,calc +0.15 -(-0.74)

solid orioleBOT May 16, 2023, 4:21 PM

#

Result:

0.89

red siren May 19, 2023, 12:33 PM

#

\frac{1}{2}

harsh vine May 20, 2023, 3:38 AM

#

$a^2$

solid orioleBOT May 20, 2023, 3:38 AM

#

Arven 🇧🇩

harsh vine May 20, 2023, 3:38 AM

#

$a^2+b^2=c^2$

solid orioleBOT May 20, 2023, 3:38 AM

#

Arven 🇧🇩

harsh vine May 20, 2023, 3:39 AM

#

$c^2=a^2+b^2-2abcosc$

solid orioleBOT May 20, 2023, 3:39 AM

#

Arven 🇧🇩

harsh vine May 20, 2023, 3:39 AM

#

$bababooey$

solid orioleBOT May 20, 2023, 3:39 AM

#

Arven 🇧🇩

harsh vine May 20, 2023, 3:39 AM

#

LOL

#

$sup$

solid orioleBOT May 20, 2023, 3:39 AM

#

Arven 🇧🇩

#

Arven 🇧🇩

charred salmon May 20, 2023, 11:35 AM

#

$hello

solid orioleBOT May 20, 2023, 11:35 AM

#

As and A2 levels

#

As and A2 levels

jolly kraken May 22, 2023, 4:33 AM

#

$\sqrt{2}$

solid orioleBOT May 22, 2023, 4:33 AM

#

dac 🧚

jolly kraken May 22, 2023, 4:33 AM

#

$\sqrt{2} \meow$

#

Hm

solid orioleBOT May 22, 2023, 4:33 AM

#

dac 🧚

stone nova May 22, 2023, 1:05 PM

#

$E = MC^2$

solid orioleBOT May 22, 2023, 1:05 PM

#

nguyen minh duc

stone nova May 22, 2023, 1:08 PM

#

$F = MA$

solid orioleBOT May 22, 2023, 1:08 PM

#

nguyen minh duc

stone nova May 22, 2023, 1:10 PM

#

$Physics$

solid orioleBOT May 22, 2023, 1:11 PM

#

nguyen minh duc

twin rock May 22, 2023, 1:36 PM

#

$Further.Math.Is.Hard$

solid orioleBOT May 22, 2023, 1:36 PM

#

Lxst_Jedi | LSE Janitor

rocky magnet May 22, 2023, 7:37 PM

#

$I'm really hot$

solid orioleBOT May 22, 2023, 7:37 PM

#

r1ra

heady horizon May 23, 2023, 11:25 PM

#

solid oriole **Lxst\_Jedi \| LSE Janitor**

$I'm harder$

solid orioleBOT May 23, 2023, 11:25 PM

#

kortuvor

solid orioleBOT May 24, 2023, 7:46 PM

#

drunkenergetic

twin rock May 25, 2023, 3:55 PM

#

$\frac{}{a}$

solid orioleBOT May 25, 2023, 3:55 PM

#

Lxst_Jedi | LSE Janitor

twin rock May 25, 2023, 3:55 PM

#

Hmm, NOT A

peak tangle May 26, 2023, 6:04 PM

#

$N$

solid orioleBOT May 26, 2023, 6:04 PM

#

Tzu

peak tangle May 26, 2023, 6:04 PM

#

$i$

solid orioleBOT May 26, 2023, 6:04 PM

#

Tzu

solid orioleBOT May 26, 2023, 11:14 PM

#

drunkenergetic

unkempt horizon May 26, 2023, 11:40 PM

#

,tex
\begin{tikzpicture}
\newcommand{\rngcolor}{\definecolor{rngcolor}{RGB}
{
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax
}}
\foreach \i in {0,...,90}
{
\rngcolor
\draw[rngcolor,thick] (0,0) -- (4 * \i:1) -- ++(4\i + 55:1) -- ++(4\i:1) -- ++(4\i + 60:1) -- ++(4\i:1) -- ++(4\i + 65:1) -- ++(4\i:1) -- ++(4*\i + 70:1);
}

\end{tikzpicture}

solid orioleBOT May 26, 2023, 11:40 PM

#

Geagle

unkempt horizon May 26, 2023, 11:40 PM

#

stolen from someone’s message earlier in this channel fr

twin rock May 27, 2023, 8:53 AM

#

unkempt horizon stolen from someone’s message earlier in this channel fr

I can tell

keen pollen Jun 1, 2023, 12:29 AM

#

$Hey_handsome$

solid orioleBOT Jun 1, 2023, 12:29 AM

#

Jessie bluewoman

keen pollen Jun 1, 2023, 12:30 AM

#

Hey(h)

#

💀

cobalt condor Jun 1, 2023, 3:27 AM

#

$meow$

solid orioleBOT Jun 1, 2023, 3:27 AM

#

Fia

solid orioleBOT Jun 1, 2023, 9:45 PM

#

chaawal

tacit vault Jun 2, 2023, 9:16 PM

#

Study

hearty jewel Jun 2, 2023, 10:57 PM

#

$computer.science.is.killing.me.slowly$

solid orioleBOT Jun 2, 2023, 10:57 PM

#

3.14

hearty jewel Jun 2, 2023, 10:58 PM

#

$deez nutz$

solid orioleBOT Jun 2, 2023, 10:58 PM

#

3.14

hearty jewel Jun 2, 2023, 10:59 PM

#

$\frac{1}{2}$

solid orioleBOT Jun 2, 2023, 10:59 PM

#

3.14

hearty jewel Jun 2, 2023, 11:13 PM

#

$class TStudentRecord:
def init(self):
self.name =""
self.address = ""
self.className =""

studentFile = open('student.TXT','w')

myStudent = TStudentRecord()
myStudent.name = "micheal afton"
myStudent.address = "random house 2"
myStudent.className ="87B"

print ("Name ", myStudent.name)
print ("Address ", myStudent.address)
print ("Class ", myStudent.className)

studentFile.write(myStudent.name + " " + myStudent.address + " " + myStudent.className + "\n")
studentFile.close()

studentFile = open('student.TXT','r')
print (studentFile.read()) #print all the records in a file
studentFile.close()$

solid orioleBOT Jun 2, 2023, 11:13 PM

#

3.14
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

hearty jewel Jun 2, 2023, 11:13 PM

#

💔

#

$class TStudentRecord:
def init(self):
self.name =""
self.address = ""
self.className =""
studentFile = open('student.TXT','w')
myStudent = TStudentRecord()
myStudent.name = "micheal afton"
myStudent.address = "random house 2"
myStudent.className ="87B"
print ("Name ", myStudent.name)
print ("Address ", myStudent.address)
print ("Class ", myStudent.className)
studentFile.write(myStudent.name + " " + myStudent.address + " " + myStudent.className + "\n")
studentFile.close()
studentFile = open('student.TXT','r')
print (studentFile.read()) #print all the records in a file
studentFile.close()$

solid orioleBOT Jun 2, 2023, 11:14 PM

#

3.14
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

hearty jewel Jun 2, 2023, 11:22 PM

#

,tex
\definecolor{eggshell}{RGB}{252,230,201}
\pgfdeclareradialshading{eggshading}{\pgfpoint{1cm}{1cm}}%
{color(0cm)=(eggshell!80);
color(0.5cm)=(brown!75!eggshell);
color(0.7cm)=(brown);
color(0.9cm)=(brown!70!black);
color(1.2cm)=(black)
}
\pgfdeclareradialshading{eggshadow}{\pgfpointorigin}%
{color(0cm)=(black);
color(2mm)=(gray!80);
color(3mm)=(gray!40);
%color(0.3cm)=(black!5!white);
color(7mm)=(white)
}
\begin{tikzpicture}
\begin{scope}[yscale=0.93,transform shape]
\node[xscale=2,yscale=0.3,shading=eggshadow,circle,minimum size=7mm] at (0,2.75mm){};
\shade[shading=eggshading] (0,2.7mm)..controls (9mm,0.25cm) and (7mm,2cm)%
..(0,20.5mm)..controls(-7mm,2cm) and (-9mm,2.5mm)..(0,2.7mm)--cycle;
\end{scope}
\end{tikzpicture}

#

Bitch

solid orioleBOT Jun 2, 2023, 11:25 PM

#

3.14

hearty jewel Jun 2, 2023, 11:25 PM

#

Talur 🤩

#

,tex
\documentclass{article}
\usepackage{graphicx}

\newcommand{\heart}{\ensuremath\heartsuit}
\newcommand{\butt}{\rotatebox[origin=c]{180}{\heart}}

\begin{document}

\heart\ \butt

\Large \heart\ \butt
\end{document}

\documentclass{article}
\usepackage{graphicx,txfonts}

\newcommand{\heart}{\ensuremath\varheartsuit}
\newcommand{\butt}{\rotatebox[origin=c]{180}{\heart}}

\begin{document}

\heart\ \butt

\Large \heart\ \butt
\end{document}

solid orioleBOT Jun 2, 2023, 11:34 PM

#

I compile the code you give me by putting it into a template LaTeX document, between \begin{document} and \end{document} commands.
Please don't give me code that belongs outside of there!
See ,help tex for some examples of what I understand.

If you want to modify the template to add packages or your own macros, see ,help preamble.

#

3.14
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

hearty jewel Jun 2, 2023, 11:35 PM

#

💔

#

,tex
\begin{tikzpicture}
\newcommand{\rngcolor}{\definecolor{rngcolor}{RGB}
{
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax
}}
\foreach \i in {0,...,90}
{
\rngcolor
\draw[rngcolor,thick] (0,0) -- (4 * \i:1) -- ++(4*\i + 55:1) -- ++(4*\i:1) -- ++(4*\i + 60:1) -- ++(4*\i:1) -- ++(4*\i + 65:1) -- ++(4*\i:1) -- ++(4*\i + 70:1);
}

\end{tikzpicture}

solid orioleBOT Jun 2, 2023, 11:36 PM

#

3.14

#

I compile the code you give me by putting it into a template LaTeX document, between \begin{document} and \end{document} commands.
Please don't give me code that belongs outside of there!
See ,help tex for some examples of what I understand.

If you want to modify the template to add packages or your own macros, see ,help preamble.

#

3.14
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

#

3.14
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

fair horizon Jun 3, 2023, 1:26 PM

#

,tex
\begin{tikzpicture}
\newcommand{\rngcolor}{\definecolor{rngcolor}{RGB}
{
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax
}}
\foreach \i in {0,...,90}
{
\rngcolor
\draw[rngcolor,thick] (0,0) -- (4 * \i:1) -- ++(4\i + 55:1) -- ++(4\i:1) -- ++(4\i + 60:1) -- ++(4\i:1) -- ++(4\i + 65:1) -- ++(4\i:1) -- ++(4*\i + 70:1);
}

\end{tikzpicture}

solid orioleBOT Jun 3, 2023, 1:26 PM

#

Julian_Loki

fair horizon Jun 3, 2023, 1:26 PM

#

DAMN

#

\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax,
\the\numexpr125 + \pdfuniformdeviate 131\relax

jaunty fossil Jun 4, 2023, 2:03 PM

#

$\frac{\sqrt{3} + 1}{ \sqrt{3}-1}$

solid orioleBOT Jun 4, 2023, 2:03 PM

#

CoolGuy

jaunty fossil Jun 4, 2023, 2:06 PM

#

$\frac{\sqrt{3} + 1}{1 - \sqrt{3}}$

solid orioleBOT Jun 4, 2023, 2:06 PM

#

CoolGuy

solid orioleBOT Jun 7, 2023, 9:09 AM

#

eeyore.

ruby mirage Jun 7, 2023, 5:00 PM

#

$dolla dolla bils$

solid orioleBOT Jun 7, 2023, 5:00 PM

#

Slimshady

ruby mirage Jun 7, 2023, 5:00 PM

#

$ 21#

#

$ 32$

#

$WHY U NO WORK MAN$

solid orioleBOT Jun 7, 2023, 5:01 PM

#

Slimshady

ruby mirage Jun 7, 2023, 5:01 PM

#

$OH NOW I UNDERSATND$

solid orioleBOT Jun 7, 2023, 5:01 PM

#

Slimshady

ruby mirage Jun 7, 2023, 5:01 PM

#

$BHAI FAIL$

solid orioleBOT Jun 7, 2023, 5:01 PM

#

Slimshady

ruby mirage Jun 7, 2023, 5:02 PM

#

$DO YOU TAKE INPUT AS CHAR$

solid orioleBOT Jun 7, 2023, 5:02 PM

#

Slimshady

ruby mirage Jun 7, 2023, 5:02 PM

#

$SEEMS .LIKE U DO$

solid orioleBOT Jun 7, 2023, 5:02 PM

#

Slimshady

ruby mirage Jun 7, 2023, 5:04 PM

#

$slim rocks$

solid orioleBOT Jun 7, 2023, 5:04 PM

#

Slimshady

ruby mirage Jun 8, 2023, 9:06 AM

#

No

#

I need help

#

I'm gonna drown in my sorrows

jolly kraken Jun 8, 2023, 1:02 PM

#

$meow$

solid orioleBOT Jun 8, 2023, 1:02 PM

#

dac

jolly kraken Jun 8, 2023, 1:02 PM

#

ruby mirage I need help

@median phoenix

solid orioleBOT Jun 12, 2023, 5:03 AM

#

PrK

jolly kraken Jun 12, 2023, 5:04 AM

#

$meow$

solid orioleBOT Jun 12, 2023, 5:04 AM

#

dac

ruby mirage Jun 12, 2023, 1:44 PM

#

$what do I do here$

solid orioleBOT Jun 12, 2023, 1:44 PM

#

orion

ionic knot Jun 14, 2023, 12:20 PM

#

$dead_channel$

solid orioleBOT Jun 14, 2023, 12:20 PM

#

Master X

ionic knot Jun 14, 2023, 12:21 PM

#

$toodeadfr$

solid orioleBOT Jun 14, 2023, 12:21 PM

#

Master X

stone nova Jun 16, 2023, 2:56 PM

#

$1/2/3/4$

solid orioleBOT Jun 16, 2023, 2:56 PM

#

nguyen minh duc

stone nova Jun 16, 2023, 2:59 PM

#

$\frac{\sqrt{3} + 1+3+frac{1/3}+sqrt{12345}{1 - \sqrt{3}}+11+frac{1/2}$

solid orioleBOT Jun 16, 2023, 2:59 PM

#

nguyen minh duc

$\frac{\sqrt{3} + 1+3+frac{1/3}+sqrt{12345}{1 - \sqrt{3}}+11+frac{1/2}$
```Compilation error:```! File ended while scanning use of \frac .
<inserted text> 
                \par 
<*> 1008765404245672107.tex
                           
I suspect you have forgotten a `}', causing me
to read past where you wanted me to stop.
I'll try to recover; but if the error is serious,
you'd better type `E' or `X' now and fix your file.```

stone nova Jun 16, 2023, 2:59 PM

#

:<

#

$\frac{\sqrt{3} + 1+3+frac{1/3}+sqrt{12345}{1 - \sqrt{3}}+11$

solid orioleBOT Jun 16, 2023, 2:59 PM

#

nguyen minh duc
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

stone nova Jun 16, 2023, 3:00 PM

#

$\frac{\sqrt{3} + 1+sqrt{321}+sqrt{12345}{1 - \sqrt{3}}+11$

solid orioleBOT Jun 16, 2023, 3:00 PM

#

nguyen minh duc
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

untold flower Jun 19, 2023, 9:54 AM

#

✨

frosty venture Jun 21, 2023, 5:03 AM

#

$\frac{1}{(ax^2)(bx)(c)} = \frac{Ax+B}{ax^2} + \frac{C}{bx} + \frac{1}{c}$

solid orioleBOT Jun 21, 2023, 5:03 AM

#

nasi_murni

frosty venture Jun 21, 2023, 5:04 AM

#

$1 = (Ax+B)(bx)(c) + C(ax^2)(c) + (ax^2)(bx)$

solid orioleBOT Jun 21, 2023, 5:04 AM

#

nasi_murni

frosty venture Jun 21, 2023, 5:06 AM

#

$x^2$
\
$0 = Abc + Cac $
\
$x$
\
$0 = Bbc$

solid orioleBOT Jun 21, 2023, 5:06 AM

#

nasi_murni

frosty venture Jun 21, 2023, 5:09 AM

#

$0=c(Ab+Ca)$
\
let $Ab + Ca \neq 0$
\
$ c = 0$
\
$0 = Bb(c)$
\
$Bb \neq 0$

solid orioleBOT Jun 21, 2023, 5:10 AM

#

nasi_murni

frosty venture Jun 21, 2023, 5:10 AM

#

$\frac{\frac{3}{3}}{3}$

solid orioleBOT Jun 21, 2023, 5:11 AM

#

nasi_murni

slender geyser Jun 21, 2023, 11:41 AM

#

This is a test $x=x$

#

$another test \vec{x}$

frosty venture Jun 21, 2023, 12:31 PM

#

$Test$

solid orioleBOT Jun 21, 2023, 12:31 PM

#

nasi_murni

frosty venture Jun 21, 2023, 12:31 PM

#

$\vec{x}$

solid orioleBOT Jun 21, 2023, 12:31 PM

#

nasi_murni

jolly kraken Jun 22, 2023, 11:41 AM

#

$\vec{meow}$

solid orioleBOT Jun 22, 2023, 11:41 AM

#

d.gyj

jolly kraken Jun 22, 2023, 11:41 AM

#

$\sqrt{2}$

solid orioleBOT Jun 22, 2023, 11:41 AM

#

d.gyj

frosty venture Jun 23, 2023, 2:23 AM

#

jolly kraken $\vec{meow}$

poggies

#

$e^{-\lambda}\frac{\lambda^{r}}{r!}$

solid orioleBOT Jun 23, 2023, 2:23 AM

#

nasi_murni

jolly kraken Jun 23, 2023, 3:48 AM

#

frosty venture <:poggies:1115279095106895882>

$ poggies $

solid orioleBOT Jun 23, 2023, 3:48 AM

#

d.gyj

jolly kraken Jun 23, 2023, 3:48 AM

#

does not work pepenugget

frosty venture Jun 23, 2023, 3:56 AM

#

jolly kraken $<:poggies:1115279095106895882>$

lmaooo

#

$🥺🤧🥖🥐$

solid orioleBOT Jun 23, 2023, 3:57 AM

#

nasi_murni

frosty venture Jun 23, 2023, 3:57 AM

#

oh

#

bruh

#

unicode rly

jolly kraken Jun 23, 2023, 4:30 AM

#

wtf

#

been a while since did latex

#

gonnaur prac again to nite pepenugget

frosty venture Jun 23, 2023, 6:41 PM

#

jolly kraken gonnaur prac again to nite <:pepenugget:1113179226561060894>

noob

#

$\tfrac{\vec{CoC}}{\vec{oW}}$

solid orioleBOT Jun 23, 2023, 6:48 PM

#

nasi_murni

ripe dirge Jun 24, 2023, 9:52 AM

#

What's the point of this bot?

jolly kraken Jun 24, 2023, 11:28 AM

#

#

$\sigma$

#

$\frac{d\sigma}{d\Omega} = \mid f (\theta , \phi) \mid ^2$
\
$a \mid n > = \sqrt{n + 1} \mid n+ 1 >$

#

hm

#

omg

#

lord wtf

#

where is the bot

#

skullcry

#

$test$

solid orioleBOT Jun 24, 2023, 11:41 AM

#

dcagh

jolly kraken Jun 24, 2023, 11:41 AM

#

bruh

manic turtle Jul 8, 2023, 3:22 PM

#

$Maths is fun$

solid orioleBOT Jul 8, 2023, 3:22 PM

#

huang17

frosty venture Jul 10, 2023, 5:15 AM

#

manic turtle $Maths is fun$

Maths is fun $:)$

solid orioleBOT Jul 10, 2023, 5:15 AM

#

nasi_murni

inner anvil Jul 18, 2023, 9:46 AM

#

Bruh

#

$"Give up on your dreams and die"$

solid orioleBOT Jul 18, 2023, 9:48 AM

#

Kaalhu🐦

$"Give up on your dreams and die"$

inner anvil Jul 18, 2023, 9:49 AM

#

Man

somber bay Jul 26, 2023, 1:25 AM

#

$\text{This is a test.}$

solid orioleBOT Jul 26, 2023, 1:25 AM

#

dysto.

opal tree Jul 26, 2023, 4:13 PM

#

Hm

spiral saffron Jul 26, 2023, 4:14 PM

#

We now have
$\sum _{n=0} ^{10} (-1)^n$

opal tree Jul 26, 2023, 4:14 PM

#

Hm

#

https://media.discordapp.net/attachments/1133788577407443038/1133791780207329362/image0.jpg

solid orioleBOT Jul 26, 2023, 4:14 PM

#

basic_acid

opal tree Jul 26, 2023, 4:14 PM

#

Yeah

spiral saffron Jul 26, 2023, 4:15 PM

#

∑ essential sums terms
So here the lower bound is n=0 the upper bound is n=10
So you sub in each value and increment 1 and so on
So like
(-1)⁰+(-1)¹+(-1)²+....

#

You are substituting values of n

#

Like a for loop

#

And adding the terms

opal tree Jul 26, 2023, 4:15 PM

#

Ohhh

spiral saffron Jul 26, 2023, 4:16 PM

#

Uptil n=10

opal tree Jul 26, 2023, 4:16 PM

#

Ok lemme try

spiral saffron Jul 26, 2023, 4:16 PM

#

Sure

opal tree Jul 26, 2023, 4:16 PM

#

Should be 1?

#

Wait

#

Yeah

#

So it would be log 3 (1)

spiral saffron Jul 26, 2023, 4:18 PM

#

Ye

opal tree Jul 26, 2023, 4:18 PM

#

3 is the base

#

Ok now how do I not use a calculator for this lmao

spiral saffron Jul 26, 2023, 4:19 PM

#

No

#

Wait

#

Say $log_3 1=a$

solid orioleBOT Jul 26, 2023, 4:19 PM

#

basic_acid

opal tree Jul 26, 2023, 4:19 PM

#

Hm

spiral saffron Jul 26, 2023, 4:20 PM

#

You can rewrite this as $3^a=1$ right?

solid orioleBOT Jul 26, 2023, 4:20 PM

#

basic_acid

opal tree Jul 26, 2023, 4:20 PM

#

Ohhhh it'll be 0

spiral saffron Jul 26, 2023, 4:20 PM

#

Yepp

opal tree Jul 26, 2023, 4:20 PM

#

Damn

#

Wow

#

Okay

#

Wow I mean you've explained me in the best way possible

spiral saffron Jul 26, 2023, 4:21 PM

#

😊

opal tree Jul 26, 2023, 4:33 PM

#

Here

hushed iris Aug 20, 2023, 12:18 PM

#

$$\begin{equation}z_1=r_1e^{i\theta},,z_2=r_2e^{i\theta}, z_1z_2=r_1e^{i\theta}\times r_2e^{i\theta}=r_1r_2e^{i(\theta_1+\theta_2)}\end{equation}:and:\frac{z_1}{z_2}=\frac{r_1e^{i\theta_1}}{r_2e^{i\theta_2}}=\frac{r_1}{r_2}e^{i(\theta_1-\theta_2)}$$

solid orioleBOT Aug 20, 2023, 12:18 PM

#

Parallax Error

$$\begin{equation}z_1=r_1e^{i\theta},\,z_2=r_2e^{i\theta}, z_1z_2=r_1e^{i\theta}\times r_2e^{i\theta}=r_1r_2e^{i(\theta_1+\theta_2)}\end{equation}\:and\:\frac{z_1}{z_2}=\frac{r_1e^{i\theta_1}}{r_2e^{i\theta_2}}=\frac{r_1}{r_2}e^{i(\theta_1-\theta_2)}$$
```Compilation error:```! LaTeX Error: Bad math environment delimiter.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.57 $$\begin{equation}
                       z_1=r_1e^{i\theta},\,z_2=r_2e^{i\theta}, z_1z_2=r_1e^...

Your command was ignored.
Type  I <command> <return>  to replace it with another command,```

hushed iris Aug 20, 2023, 12:19 PM

#

$$z_1=r_1e^{i\theta},,z_2=r_2e^{i\theta}, z_1z_2=r_1e^{i\theta}\times r_2e^{i\theta}=r_1r_2e^{i(\theta_1+\theta_2)}:and:\frac{z_1}{z_2}=\frac{r_1e^{i\theta_1}}{r_2e^{i\theta_2}}=\frac{r_1}{r_2}e^{i(\theta_1-\theta_2)}$$

solid orioleBOT Aug 20, 2023, 12:19 PM

#

Parallax Error

hushed iris Aug 20, 2023, 12:19 PM

#

$$\begin{equation}z_1=r_1e^{i\theta},,z_2=r_2e^{i\theta}, z_1z_2=r_1e^{i\theta}\times r_2e^{i\theta}=r_1r_2e^{i(\theta_1+\theta_2)}:and:\frac{z_1}{z_2}=\frac{r_1e^{i\theta_1}}{r_2e^{i\theta_2}}=\frac{r_1}{r_2}e^{i(\theta_1-\theta_2)}\end{equation}$$

solid orioleBOT Aug 20, 2023, 12:19 PM

#

Parallax Error
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)