\({\LaTeX}\) is an extremely useful typesetting language to learn, especially in a math environment like this. However, the quick instructions Brilliant.org gives just aren't good enough to use for most situations.

This is why I've decided to create a beginner's \({\LaTeX}\) guide. There is a table of contents for easy symbol or format finding. I hope you can refer to this guide later, when writing solutions, problems, or notes.

Note: You can also view Latex codes by hovering over the equation. Read Seeing actual \(\LaTeX\) for more details!

To quickly navigate to the part you want via the Table of Contents, press CTRL+F, and type in the section you want (including the tilde's ~ before and after the section).

**Table of Contents**

~Using LaTeX~

~Text~

~Basic Operations~

~Fractions~

~Sums, Products, Limits, and Integrals~

~Modular Arithmetic~

~Trigonometry~

~Combinatorics~

~Geometry~

~Calculus~

~Parentheses~

~Fitting Parentheses~

~Tables and Arrays~

~Other~

**~Using LaTeX~**

To use LaTeX, put a backslash and a left parenthesis before the math you want to LaTeXify, and put a backslash and a right parenthesis after the math you want to LaTeXify. For example:

Shows up as \(1+2+3=6\)

However, if you want your math to be more conspicuous and centered, you can use a backslash then a left bracket, then your math, then a backslash then a right bracket. For example:

Shows up as

\[1+2+3=6\]

This second option is the display text. A lot of other math operations will look better in this text. To force the first option to also use display text, you can add a \displaystyle at the beginning.

**~Text~**

To write text in LaTeX use \text{your text here}. This gives \(\text{your text here}\)

To use bolded text, use \textbf{your text here}. This gives \(\textbf{your text here}\)

Italicized text is similar: \textit{your text here}. This gives \(\textit{your text here}\)

**~Basic Operations~**

"x+y" gives \(x+y\)

"x-y" gives \(x-y\)

"x=y" gives \(x=y\)

"x\times y" gives \(x\times y\)

"x\cdot y" gives \(x\cdot y\)

"x\div y" gives \(x\div y\)

"x\pm y" gives \(x\pm y\)

"x\mp y" gives \(x\mp y\)

x^{y} gives \(x^{y}\)

x_{y} gives \(x_{y}\)

\sqrt{x} gives \(\sqrt{x}\)

\sqrt[y]{x} gives \(\sqrt[y]{x}\)

\log_{a}b gives \(\log_{a}b\)

\ln a gives \(\ln a\) (that's a lowercase "l" in the beginning, not an uppercase "i")

Note that many of you use "*" or "." for multiplying. This shows up as \(*\) and \(.\) which don't look good. Use \(\times\) or \(\cdot\) instead.

Also, the brackets in x^{y} or x_{y} may be omitted if the index is a single character. However, if it is more than one character like \(x^{10}\), then brackets are needed or else it will show up as \(x^10\).

**~Fractions~**

Many people simply put a slash between the numerator and denominator to represent a fraction: \(x/y\). However, there are neater ways in LaTeX.

\frac{x}{y} is the standard way to write fractions: \(\frac{x}{y}\)

\dfrac{x}{y} gives a bigger clearer version. However, this takes up more vertical space: \(\dfrac{x}{y}\) the "d" stands for "display text".

**EXTRA**

\cfrac{x}{y} is a special type of fraction formatting. This is for continued fractions, hence the "c". typing \cfrac{x}{x+\cfrac{y}{y+\cfrac{z}{2}}} gives \( \cfrac{x}{x+\cfrac{y}{y+\cfrac{z}{2}}}\)

**~Sums, Products, Limits, and Integrals~**

These four are in the same group because they format differently than other symbols.

"\sum" gives \(\sum\)

"\prod" gives \(\prod\)

"\lim" gives \(\lim\)

"\int" gives \(\int\)

We can add the other elements of each thing by using _ and ^:

\sum_{i=0}^n gives \(\sum_{i=0}^n\)

\prod_{i=0}^n gives \(\prod_{i=0}^n\)

\lim_{x\rightarrow n} gives \(\lim_{x\rightarrow n}\)

\int_{a}^{b} gives \(\int_a^b\)

However, these don't look very good. However, once putting it on display text, either using the brackets or using \displaystyle as said in the beginning of the guide, we can make them look normal.

\displaystyle\sum_{i=0}^n gives \(\displaystyle\sum_{i=0}^n\)

\displaystyle\prod_{i=0}^n gives \(\displaystyle\prod_{i=0}^n\)

\displaystyle\lim_{x\rightarrow n} gives \(\displaystyle\lim_{x\rightarrow n}\)

\displaystyle\int_{a}^{b} gives \(\displaystyle\int_{a}^{b}\)

**~Modular Arithmetic~**

"\equiv" gives \(\equiv\)

\mod{a} gives \(\mod{a}\)

\pmod{a} gives \(\pmod{a}\)

\bmod{a} is \mod{a} without the space before it: \(a\bmod{b}\) versus \(a\mod{b}\)

"a\mid b" creates \(a\mid b\), which states that \(b\) is divisible by \(a\).

**~Trigonometry~**

Many of you simply put "sin" and "cos" and be done with it; however, adding a backslash before those two make it look much better.

\sin gives \(\sin\) (as opposed to \(sin\))

\cos gives \(\cos\) (as opposed to \(cos\))

\tan gives \(\tan\)

\sec gives \(\sec\)

\csc gives \(\csc\)

\cot gives \(\cot\)

\arcsin gives \(\arcsin\)

\arccos gives \(\arccos\)

\arctan gives \(\arctan\)

Putting a ^{-1} after the trigonometric function designates it as the inverse. For example, \sin^{-1} gives \(\sin^{-1}\).

\sinh gives \(\sinh\)

\cosh gives \(\cosh\)

\tanh gives \(\tanh\)

**~Combinatorics~**

\binom{x}{y} gives \(\binom{x}{y}\)

\dbinom{x}{y} gives \(\dbinom{x}{y}\)

**~Geometry~**

x^{\circ} gives \(x^{\circ}\) the degree symbol

\angle gives \(\angle\)

\Delta gives \(\Delta\), for example \(\Delta ABC\)

\triangle also does the job: \(\triangle ABC\)

\odot gives \(\odot\), for example \(\odot O\)

AB\parallel CD gives \(AB\parallel CD\)

AB\perp CD gives \(AB\perp CD\)

A\cong B gives \(A\cong B\)

A\sim B gives \(A\sim B\)

**~Calculus~**

We've already learned to use \(\int\). However, there is much more to calculus than integrals!

There is no command for the total derivative, so you have to use \text{d} to get around it.

For example, \dfrac{\text{d}}{\text{d}x} gives \(\dfrac{\text{d}}{\text{d}x}\)

Fortunately, there is a symbol for partial derivatives: \partial gives \(\partial\).

So, \dfrac{\partial}{\partial x} gives \(\dfrac{\partial}{\partial x}\)

Double or even triple integrals can be condensed into \iint and \iiint, respectively. This gives \(\displaystyle\iint\) and \(\displaystyle\iiint\) (I am using display text).

**EXTRA**

Line integrals can be written as \oint: \(\displaystyle \oint\).

**~Parentheses~**

( and ) are standard for parentheses: \((a+b)\)

[ and ] are used for brackets: \([a+b]\)

{ and } are used for curly brackets: \(\{a+b\}\)

\lfloor and \rfloor are used for the floor function: \(\lfloor a+b\rfloor\)

\lceil and \rceil are used for the ceiling function: \(\lceil a+b\rceil\)

\langle and \rangle are used for vectors: \(\langle a,b\rangle\)

The vertical line symbol | (not a capital "i" or a lowercase "l"!) is used for absolute value: \(|a+b|\)

**~Fitting Parentheses~**

Suppose you want to write \(\left(\dfrac{a}{b}\right)^c\). When you try, it gives \((\dfrac{a}{b})^c\). How did I stretch the parentheses to fit?

To stretch the parentheses, use \left before the left parenthesis and \right before the right one, like this: \left( and \right). When put back into the expression, this yields \(\left(\dfrac{a}{b}\right)^c\) as desired.

This isn't just for parentheses; you can use them on brackets: \(\{\dfrac{a}{b}\}\) changes into \(\left\{\dfrac{a}{b}\right\}\)

You can also use this technique on things that use only one parenthesis/bracket/etc. However, just putting \left or \right will yield an error. This is because \left and \right come in pairs. In orer to sidestep this, you can put a period after the one that you do not need (i.e \left. or \right.). This way it will not produce an error, and it will stretch the parenthesis to size. For example, this: \left. \dfrac{x^3+2x}{3x^2}\right|_0^3 gives this: \(\left. \dfrac{x^3+2x}{3x^2}\right|_a^b\)

**~Tables and Arrays~~**

To make tables and arrays, use \ begin{array}{[modifiers]} ... \ end{array}. (A space is put before "begin" and before "end" to prevent the LaTeX from prematurely rendering. Even though there are no brackets around to make it render, it does so anyways, I don't know why.)

In the modifiers section, you put either l for left, c for center, or r for right, per column. For example, to make an array with 3 columns, all formatted to align along the right edge, you put "rrr" inside the modifier. It would look like this: \ begin{array}{rrr} ... \ end{array}.

To add a vertical line between two columns, put the vertical line symbol | between two modifiers: for example, if you wanted a horizontal line between the first two columns in the previous example, then you would put \ begin{array}{r|rr} ... \ end{array}.

For actual inputting in the array, there are two rules: put a "&" sign to notify to switch to the next column, and put a "\ \" divider (again a space is added in between to prevent it from rendering) to notify to switch to the next row. When building the table, always fill in row by row: in the first row, fill in all the corresponding columns, and then switch to the next row; then continue in this manner. For example, if I wanted to make a \(3\times 3\) square with the numbers \(1\rightarrow 9\), I would put: \ begin{array}{lcr}1 & 2 & 3 \ \ 4 & 5 & 6 \ \ 7& 8 & 9 \ end{array}. This produces: \( \begin{array}{lcr}1 & 2 & 3 \\ 4 & 5 & 6 \\ 7& 8 & 9 \end{array}\).

To insert horizontal lines between any two rows, put \hline after the divider that separates the two rows. For example, if I wanted to add horizontal lines and vertical lines in the previous example to look like a tic tac toe board, this would be my code: \ begin{array}{l|c|r}1 & 2 & 3 \ \ \hline 4 & 5 & 6 \ \ \hline 7& 8 & 9 \ end{array} and it will produce: \(\begin{array}{l|c|r}1 & 2 & 3 \\ \hline 4 & 5 & 6 \\ \hline 7& 8 & 9 \end{array}\)

**~Other~**

To negate any symbol, put \not before the symbol. For example, "\not =" gives \(\not =\)

Look here for a big list of symbols.

If you don't know how to do something or see something missing in this guide, please do comment below so I can add it! Together, we can make a great LaTeX guide!

## Comments

Sort by:

TopNewestIf there is anything that doesn't make sense or is organized bad, please tell me so I can fix it.

I know that regular notes get hopelessly lost in the Feed even just after a few days. However, I wish that somehow this can survive, because I have noticed a lot of people in need in learning some basic LaTeX. Maybe someone can do something about this? – Daniel Liu · 3 years, 2 months ago

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– Michael Tong · 3 years ago

Just a note here: For limits, I like using "\lim \limits_{a \to b} a" which yields \(\lim \limits_{a \to b} a\)Log in to reply

– Parth Lohomi · 2 years, 1 month ago

Daniel Liu we can also use "n\choose{r}" to display \(n\choose{r}\)Log in to reply

Notice that brilliant does have some well chosen examples. I think that it's just a good idea to expound upon them as you are. – Bob Krueger · 3 years, 2 months ago

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– Niranjan Khanderia · 2 years, 8 months ago

This is a useful idea. I think that we should make a guide accessible like the algebra dictionary.Log in to reply

That would be great! – Daniel Liu · 3 years, 2 months ago

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– Hobart Pao · 1 year, 1 month ago

Why not make this a wiki??Log in to reply

– Akhil Bansal · 1 year, 7 months ago

Please add the latex for matrices and determinants.ThankyouLog in to reply

\(\backslash\{\) and \(\backslash\}\) are used for the curly brackets: \(\{a+b\}\)

Note that not giving the slash makes the parentheses disappear when the \(\LaTeX\) output is rendered. – Prasun Biswas · 2 years ago

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– Swastik Behera · 1 year, 5 months ago

{a and c}Log in to reply

escape it using a backslash.

I'm not sure how your reply is relevant to my comment. You haven't used \(\LaTeX\). You just wrote it in plain text. My comment illustrated how braces aren't rendered in \(\LaTeX\) output if you don'tIf you're typing in plain text, then there's no need to escape it since plain text is rendered

as it isin output. – Prasun Biswas · 1 year, 5 months agoLog in to reply

– Abdur Rehman Zahid · 2 years, 5 months ago

Can you write the symbol for infinity in Latex if so how ?Log in to reply

@Abdur Rehman Zahid – Mathh Mathh · 2 years, 5 months ago

\inftyLog in to reply

– Abdur Rehman Zahid · 2 years, 5 months ago

ThanksLog in to reply

A great guide, by the way. – John Muradeli · 2 years, 6 months ago

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Awesome note for all learners ! \(\LaTeX\) is truly useful and the following wikipedia page is also helpful for this purpose.

What I want to add in this note is the \(\LaTeX\) colors , I try to use them in \(\color{Red}{problems}\) and \(\color{Green}{Solutions}\)

For that , you have to type

\color{code of the color}{your text}

For example, " \color{Green}{Maths} " will appear as \(\color{Green}{Maths}\)

" \color{Blue}{Maths} " will appear as \( \color{Blue}{Maths}\)...

Codes of the colors you can find on the wikipedia page.

Also the use of " \Huge" , it is used for getting big fonts, like

" \Huge{Maths}" will appear as \(\Huge{Maths}\)

@Daniel Liu , try getting this in the note too ..... – Aditya Raut · 2 years, 9 months ago

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Wow really cool! :) – Happy Melodies · 2 years, 8 months ago

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How did you changed the font?? – Akhil Bansal · 1 year, 7 months ago

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@Aditya Raut – Anuj Shikarkhane · 2 years, 4 months ago

\(\Huge{\text{Aditya}}{\text{Raut}}\) Wow! This is cool!!Log in to reply

– Md Zuhair · 2 weeks ago

\(\huge{\color{red}{Z} \color{green}{U} \color{blue}{H} \color{MidnightBlue}{A} \color{lightpink}I \color{Orange}{R}}\)Log in to reply

Nice !

For posting solutions , I prefer the following pages :

1.LaTex/Mathematics

2.LaTex/Advanced Mathematics

Hope that helps ! :3 – Priyansh Sangule · 3 years, 2 months ago

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Nice – Eddie The Head · 3 years, 2 months ago

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Another suggestion:

`\oint`

for surface integral (\(\oint\)). – Sreejato Bhattacharya · 3 years, 2 months agoLog in to reply

– Daniel Liu · 3 years, 2 months ago

Hmm... I said \oint was for line integral in the Calculus section. Surface integral, line integral, same thing.Log in to reply

Whats wrong with this?

\(\color{Blue}\text{S = x^2 - 8\lfloor x \rfloor + 10}\) – Ankit Kumar Jain · 2 weeks ago

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`\color{Blue} {S = x^2 - 8\lfloor x \rfloor + 10}`

to get \(\color{Blue} {S = x^2 - 8\lfloor x \rfloor + 10}\) – Kishore S Shenoy · 2 weeks agoLog in to reply

– Ankit Kumar Jain · 2 weeks ago

Thanks!!Log in to reply

– Ankit Kumar Jain · 2 weeks ago

\(\color{Blue}{S = x^2 - 8\lfloor x \rfloor + 10}\)Log in to reply

A note on integrals in \(\LaTeX\): [[ \(\mbox{\iiint}\) ]] gives \[\iiint\] It can also be written as [[\(\mbox{\int \! \! \! \! \int \! \! \! \! \int}\)]], giving \[\int \!\!\!\! \int \!\!\!\! \int\] While this is unncessary in Brilliant, it is used in actual \(\LaTeX\) editors when the "esint" package (which contains \iiint) is not available.

Here, the symbol [[ \(\mbox{\!}\) ]] removes a certain space between two characters. – Jaydee Lucero · 1 year, 6 months ago

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There is a typo the line just above "Tables and Arrays". In Fitting Parentheses

display is an error. \left. \dfrac{x^3+2x}{3x^2}\right|_0^3 should give \(~~~~\color{red}{ \large \ \left. ~~\right |_0^3} \) – Niranjan Khanderia · 1 year, 8 months ago

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THIS IS AWESOME! HUHUHUHU – Astro Enthusiast · 2 years, 8 months ago

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– Jaydee Lucero · 2 years, 7 months ago

Yeah. :DLog in to reply

– Astro Enthusiast · 2 years, 7 months ago

Hey, what course are you in? And we're batchmates, I reckon.Log in to reply

Sorry, I don't understand your use of the word "batchmates". XD – Jaydee Lucero · 2 years, 7 months ago

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– Astro Enthusiast · 2 years, 7 months ago

2012? :)Log in to reply

– Jaydee Lucero · 2 years, 7 months ago

Nope, 2013. :)Log in to reply

– Astro Enthusiast · 2 years, 7 months ago

Na-feel ko nga kasi 17 ka hahaLog in to reply

Take note lang ha, 'di tayo parehas ng high school. Wala lang sinabi ko lang haha XD – Jaydee Lucero · 2 years, 7 months ago

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– Astro Enthusiast · 2 years, 7 months ago

Of course, I know. Kilala sana kita if oo. :)Log in to reply

This site is a good way to get off the ground quickly with all the different symbols: http://www.codecogs.com/latex/eqneditor.php – Josh Silverman Staff · 3 years ago

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Excellent! I suggest adding matrices. – Ahaan Rungta · 3 years, 2 months ago

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– Daniel Liu · 3 years, 2 months ago

I added tables and arrays, that will probably suffice for making matrices too.Log in to reply

This is amazing! Just one thing: The link redirects to this page. – Trevor B. · 3 years, 2 months ago

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– Daniel Liu · 3 years, 2 months ago

Hmm... The link isn't to this post though. Probably a glitch. I explicitly posted the link.Log in to reply

– Trevor B. · 3 years, 2 months ago

I suppose that works too. This is a really great post.Log in to reply

Like when we conclude two things from a statement , we use \begin{cases} and \end{cases}.

What do we use when we conclude one thing from two things??Like the opposite kind of braces I want as in \begin{cases} .... – Ankit Kumar Jain · 1 week, 2 days ago

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What is the issue with this?

I wanted to color only \(102^2\) but this did not happen

\(100^2 + 101^2 + \color{blue}{102^2} + \cdots + 998^2 + 999^2 + 1000^2\) – Ankit Kumar Jain · 1 week, 4 days ago

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`...\color{blue} {102^2}\color{black}...`

to unflag it. I don't know the reason though... \(100^2 + 101^2 + \color{blue}{102^2} \color{black} + \cdots + 998^2 + 999^2 + 1000^2\) – Kishore S Shenoy · 1 week, 3 days agoLog in to reply

\(100^2 + 101^2 + {\color{blue}{102^2}} + \cdots + 998^2 + 999^2 + 1000^2\) – Ankit Kumar Jain · 1 week, 2 days ago

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code for less than and greater than plzz – Nivedit Jain · 2 weeks ago

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`\le`

for \(\le\)`\ge`

for \(\ge\)Log in to reply

– Nivedit Jain · 1 week, 6 days ago

i dont need qualityLog in to reply

`<`

for \(<\)`>`

for \(>\)Log in to reply

Who to write infinity?? – Nivedit Jain · 2 weeks, 2 days ago

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Who to write infinity?? – Nivedit Jain · 2 weeks, 2 days ago

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`\infty`

will give you \(\infty\), infinity symbol. – Kishore S Shenoy · 2 weeks, 2 days agoLog in to reply

– Nivedit Jain · 2 weeks, 2 days ago

thank youLog in to reply

If someone can help me out , please!!!

How can we add a picture and how can we link one page to another ?? – Ankit Kumar Jain · 2 weeks, 6 days ago

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`[text here](link)`

to add link.`![caption](link)`

to add image.(You can as well ignore the`caption`

,put it blank`[]`

)Log in to reply

See the caption under the set name by clicking on the link below . It is not getting linked??/ Why?

My problems – Ankit Kumar Jain · 2 weeks, 6 days ago

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'THRILLER'

What is wrong? – Ankit Kumar Jain · 2 weeks, 6 days ago

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`\href{link}{\text{caption}}`

– Kishore S Shenoy · 2 weeks, 6 days agoLog in to reply

– Ankit Kumar Jain · 2 weeks, 6 days ago

Thanks a lot.!Log in to reply

Can you please mention 'belongs to' sign\symbol? – Sahil Silare · 3 weeks, 2 days ago

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`\in`

to get \(\in\). – Kishore S Shenoy · 3 weeks, 1 day agoLog in to reply

– Sahil Silare · 3 weeks, 1 day ago

Thanks, it worked :)Log in to reply

– Kishore S Shenoy · 3 weeks, 1 day ago

:-)Log in to reply

What about lesser than equal to? – Md Zuhair · 4 months, 2 weeks ago

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`\le`

will give you \(\le\) – Kishore S Shenoy · 4 months, 2 weeks agoLog in to reply

– Md Zuhair · 4 months, 1 week ago

ThanksLog in to reply

@Ali Hamaiz Here is the note I was talking to you about. – Abdur Rehman Zahid · 10 months, 3 weeks ago

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How about ---> – Jun Arro Estrella · 1 year, 1 month ago

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If you want a longer one, affix "long". Thus, \longrightarrow gives \(\longrightarrow\). – Jaydee Lucero · 1 year, 1 month ago

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– Jun Arro Estrella · 1 year, 1 month ago

Thank you kuya Jaydee :) See you in automathicLog in to reply

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Don't add the space between them. – Trevor B. · 1 year, 7 months ago

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@Trevor B. Can you tell me how to change the size of image in latex? – Akhil Bansal · 1 year, 7 months ago

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– Trevor B. · 1 year, 7 months ago

While I don't know how to do that in Brilliant, you can import an image from the graphics package and set the size you want with [length=x cm] after \includegraphic.Log in to reply

Can you please help me??? How to write infinity in latex form.PLEASE HELP ME – Ayush Sharma · 1 year, 9 months ago

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`\infty`

. – Prasun Biswas · 1 year, 9 months agoLog in to reply

I am trying it from many days and still not able to do so.

Please help!! – Akhil Bansal · 1 year, 7 months ago

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`[Brilliant](http://www.brilliant.org)`

gives you Brilliant. Since this is a Markdown feature and not a \(\LaTeX\) feature, don't enclose it in slash brackets as you do with math code.Basically, the syntax is

`[hyperlink_text](url_to_page)`

.Here's a screenshot of output corresponding to Markdown code for ease of understanding:

Image

Image

with the hyperlink directing you to the specified url. – Prasun Biswas · 1 year, 7 months ago

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For eg. \[\left(\large \cfrac{a+b}{c+\cfrac{d}{e+f}}\right)\]

Here,brackets are not able to cover up the whole expression..

Thanks,now it's working. – Akhil Bansal · 1 year, 6 months ago

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`\left`

before opening bracket and`\right`

before closing bracket to make the brackets auto-resize themselves to cover up the entire expression.The basic syntax for the type of brackets you need is \(\text{\left(}\cdots\text{\right)}\) as opposed to the normal bracketing \(\text{(}\ldots\text{)}\). – Prasun Biswas · 1 year, 6 months ago

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– Akhil Bansal · 1 year, 7 months ago

Thanks a lot....Log in to reply

– Ayush Sharma · 1 year, 9 months ago

Thank you for your helpLog in to reply

What is wrong with this latex????

[3^{\(4n-3\)}] – Ashwin Padaki · 1 year, 9 months ago

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`\[`

– Kishore S Shenoy · 3 weeks, 1 day agoLog in to reply

– Niranjan Khanderia · 1 year, 9 months ago

\[ 3^{4n-3}\] I think it is OK see my Latex code.Log in to reply

\(\text{your text here}\) – Aditya Chauhan · 1 year, 10 months ago

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– Abdur Rehman Zahid · 1 year, 7 months ago

Aditya Chauhan \(\text{your text here}\) You have to put the \( \backslash ( \backslash )\) around the LatexLog in to reply

Thanks... – Nishu Sharma · 1 year, 11 months ago

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\( {sec}^{2} \theta + 16{sec}^{2} \phi + 49{sec}^{2} \delta + 8\sec \theta \sec \phi + 56\sec \phi \sec \delta + 14\sec \theta \sec \delta \) – Mvs Saketh · 2 years ago

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`\sec^2 \delta`

for \(\sec^2 \delta\) – Kishore S Shenoy · 1 year, 6 months agoLog in to reply

For i = 1 , 2 ,\(\cdots\), n , let \(a_{i}\) and \(b_{i}\) be non-negative real numbers. Then \(\left( a_{1} + a_{2}+\cdots + a_{n}\right)\) \(\left( b_{1}+ b_{2} +\cdots + b_{n}\right)\) \(\geq\) \(\left( \sqrt{a_{1}b_{1}} +\sqrt{a_{2}b_{2}} +\cdots +\sqrt{a_{n}b_{n}} \right) ^{2} \) – Alita Toh · 2 years, 3 months ago

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\(\Huge{Brilliant\;Is\;So\;Awesome\;!!!}\) – Abdur Rehman Zahid · 2 years, 4 months ago

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– Niranjan Khanderia · 2 years, 6 months ago

\( \Huge{I like Brilliant} \\ \) I think you wanted this. You missed starting with \ ( and ending with \ )....no space after a \, I had to do it for technical reason.Log in to reply

– Abdur Rehman Zahid · 2 years, 5 months ago

thank youLog in to reply

\(\text{your text here}\) – Adarsh Kumar · 2 years, 7 months ago

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\(\text{awesome post}\) – Adarsh Kumar · 2 years, 7 months ago

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[@Daniel Liu ], How do I denote vectors by latex? – Abhimanyu Swami · 2 years, 7 months ago

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@Abhimanyu Swami Here's your query ...type this

`\stackrel{rightarrow} v`

and you get this\(\huge{ \stackrel{\rightarrow} v}\) and you might also want.. \(\huge{\stackrel{\rightarrow}{|v|}}\). – Arya Samanta · 2 years, 6 months ago

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– Niranjan Khanderia · 2 years, 6 months ago

\( \stackrel {\rightarrow} { v^2} \) .......This is what I get with \stackrel {\rightarrow} { v^2}Log in to reply

`\stackrel{\rightarrow}{v}`

you'll get this time .Arya – Arya Samanta · 2 years, 6 months ago

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\stackrel {\rightarrow} { v^2} ..gives :- \( ~~~~~~~~~~~~~~ \\ \stackrel {\rightarrow} { v^2} \) – Niranjan Khanderia · 2 years, 6 months ago

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Use

`\vec{v}`

for \(\huge\displaystyle\vec{v}\)\(\begin{array}{l|c|r}\huge Unit~Vectors \\\hline\end{array}\)

Use

`\hat{\imath}\;\;\hat{\jmath}\;\;\hat{k}`

for \(\huge\hat{\imath}\;\;\hat{\jmath}\;\;\hat{k}\)`\imath' and`

\jmath`gets rid of the the dot over`

i`and`

j`. – Kishore S Shenoy · 1 year, 6 months agoLog in to reply

Also, what's the latex for putting a black square around the answer when you're writing solutions. – Trevor Arashiro · 2 years, 7 months ago

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@Daniel Liu There are lots of symbols on the AoPS page you linked to, but there is some \(\LaTeX\) stuff you should definitely add, like systems of equations (we use \begin{cases} .. \\ ... \\ ..\end{cases} for this) and \boxed { }. These don't exist on the AoPS page.

I also like to use \stackrel { } to get some text shown above symbols.

E.g. \stackrel{\text{AM-GM}}\ge gives \(\stackrel{AM-GM}\ge\). This is optional, though. – Mathh Mathh · 2 years, 7 months ago

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What's the code for =>, not \(\geq\) – Trevor Arashiro · 2 years, 7 months ago

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– Mathh Mathh · 2 years, 7 months ago

If you mean an arrow, there are quite a few codes for it: \implies or \Rightarrow or \rightarrow or \Longrightarrow or \to or \longrightarrow or \mapsto or \longmapsto.Log in to reply

– Trevor Arashiro · 2 years, 7 months ago

thank you, the first one was the one I was looking forLog in to reply

I find this note very, very nice! :D

I have a question: How should I write the definition of absolute value using LaTeX? – Jaydee Lucero · 2 years, 8 months ago

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– Mathh Mathh · 2 years, 8 months ago

The best is simply the symbol | on your keyboard. For division there's a better one, though - /mid.Log in to reply

– Jaydee Lucero · 2 years, 7 months ago

But how about the brace { used for piecewise defined functions? The definition of absolute value uses that :)Log in to reply

f(x) = \begin{cases} 1 \\ 2 \end{cases} gives \(f(x) = \begin{cases} 1 \\ 2 \end{cases}\)

Put what you want between \begin{cases} and \end{cases} and separate new lines with \\. – Mathh Mathh · 2 years, 7 months ago

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– Jaydee Lucero · 2 years, 7 months ago

Oh, that's nice. :) Thanks. :)Log in to reply

When NOT using "\text " while in Latex,

for " space " we can use "~".

Say:-In Latex.....>\ ( (I~am~~~coming~~~~) \ ) gives:-

(I#am###coming####)...... "#" stands for space here. – Niranjan Khanderia · 2 years, 8 months ago

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One more thing, for summation and production, it's required to put curly brackets { } between \(n\) if you have more than 1 characters on \(n\). Otherwise it'll show as \(\displaystyle\sum_{i=0}^2014 i\) instead of \(\displaystyle\sum_{i=0}^{2014} i\). (Note that other brackets don't work.) – Samuraiwarm Tsunayoshi · 2 years, 8 months ago

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One question how did you make "LATEX" look like that . – Abhishek Singh · 2 years, 9 months ago

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– Mathh Mathh · 2 years, 9 months ago

\LaTeXLog in to reply

Thanks man. Been looking for something like this. – Kaelyn Willingham · 2 years, 9 months ago

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How to write Pi in latex? – Avineil Jain · 3 years ago

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\( \pi \) – Siddhartha Srivastava · 3 years ago

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Something I never got around to asking here is, how do you get the light grey line to denote section breaks? When I add a section break, I put \text{............................................................................................................} between the display delimiters, but I never figured out how to automate that with the grey lines. – Trevor B. · 3 years ago

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_– Daniel Liu · 3 years ago

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and what about squaring the mod of a vector I mean

\(\huge{\stackrel{\rightarrow}{|v|}}\)

if I try to square it then it becomes either \(\huge{\stackrel{\rightarrow}{|v|^2}}\) or \(\huge{{\stackrel{\rightarrow}{|v|}^2}}\) – Arya Samanta · 2 years, 6 months ago

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`\huge{\left|\vec{v}\right|}^2`

for \({\left|\vec{v}\right|}^2\) – Kishore S Shenoy · 1 year, 6 months agoLog in to reply

\( | \vec v|^2\) – Niranjan Khanderia · 2 years, 6 months ago

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`---`

will give :– Kishore S Shenoy · 1 year, 6 months ago

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Are geometry diagrams made with latex? How? – Nathan Ramesh · 3 years ago

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– Daniel Liu · 3 years ago

No. Geometric Diagrams are made with a typesetting language called Asymptote Vector Graphics Language.Log in to reply

– Priyansh Sangule · 3 years ago

Nope.Log in to reply

This is really helpful, thanks a lot Daniel!! – Piyal De · 3 years ago

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May I ask how can I create tables in LaTeX? – Happy Melodies · 3 years, 2 months ago

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– Daniel Liu · 3 years, 2 months ago

I have written the guide to tables and arrays. At first I thought that I shouldn't write it because this was a basic latex guide, but since you asked for it, I put it on. See if you can understand what I wrote, and if you can't you can tell me why and I will change it.Log in to reply

– Happy Melodies · 3 years, 2 months ago

Yup! I understood! Thanks a lot!!! :)Log in to reply

Thanks Daniel. – Soham Dibyachintan · 3 years, 2 months ago

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Just one thing that's quite common: \(a \mid b\) for divisibility use \mid to create the line. Other than this, the post is great! Thanks for it! :) – Happy Melodies · 3 years, 2 months ago

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– Daniel Liu · 3 years, 2 months ago

Thanks! Added to Modular Arithmetic.Log in to reply

\(1+2+3=6\) – Abdur Rehman Zahid · 2 years, 5 months ago

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@Abdur Rehman Zahid Enclose it in \ ( \ .....\ ) but don't leave spaces – Anuj Shikarkhane · 2 years, 4 months ago

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– Abdur Rehman Zahid · 2 years, 4 months ago

Thanks,I know nowLog in to reply