Extra Lines
2\times2=4\\
4\times2=8
2×2=44×2=8
Put a Symbol on Top of Another
\stackrel{?}{=} • \stackrel{\checkmark}{=}}
?=•✓=
Put a Symbol on the Bottom of Another
\underset{2}{4} • \underset{x \to \infty}{\lim}
Warning: The "\lim" command and its subscript text (like described above) styled this way below does not fix the text the way it's supposed to be.
42•limx→∞
Braces for Grouping
z=\overbrace{ \underbrace{x}_text{real}+i \underbrace{y}_\text{imaginary} }^\text{complex number}
z=complex number⏞x⏟real+iy⏟imaginary
Complex Numbers
z=\overbrace{\underbrace{a}_\text{real}+\underbrace{b}_\text{imaginary}i}^\text{rectangular}\\\
z=\overbrace{\underbrace{r}_\text{real}\angle\underbrace{\theta}_\text{imaginary} \text{ or }.z=\underbrace{r}_\text{real}\underbrace{e^{\theta i}}_{imaginary}}^\text{polar}
z=rectangular⏞a⏟real+b⏟imaginaryiz=polar⏞r⏟real∠θ⏟imaginary or z=r⏟realeθi⏟imaginary
Arrows with Text
A \xleftarrow{\text{this way}} B \xrightarrow[\text{or this way}]C
Athis way←B→or this wayC
Align Text Against a Specific Symbol
\begin{align*}
f(x) &= (x+a)(x+b)\\
&= x^2 + (a+b)x+ab
\end{align*}
f(x)=(x+a)(x+b)=x2+(a+b)x+ab
Equal Sign and Other Similar Signs
< • > • = • \parallel • \nparallel • \leq • \geq • \doteq • \asymp • \bowtie • \ll • \gg • \equiv • \vdash • \dashv • \subset • \supset • \approx • \in • \ni • \subseteq • \supseteq • \cong • \smile • \frown • \nsubseteq • \nsupseteq • \simeq • \models • \notin • \sqsubset • \sqsupset • \sim • \perp • \mid • \sqsubseteq • \sqsupseteq • \propto • \prec • \succ • \preceq • \succeq • \neq • \sphericalangle • \measuredangle
<•>•=•∥•∦•≤•≥•≐•≍•⋈•≪•≫•≡•⊢•⊣•⊂•⊃•≈•∈•∋•⊆•⊇•≅•⌣•⌢•⊈•⊉•≃•⊨•∉•⊏•⊐•∼•⊥•∣•⊑•⊒•∝•≺•≻•⪯•⪰•≠•∢•∡
Division Sign and Other Similar Signs
\pm • \cap • \diamond • \oplus • \mp • \cup\text{ }• \bigtriangleup • \ominus • \times • \uplus • \bigtriangledown • \otimes • \div • \sqcap • \triangleleft • \oslash • \ast • \sqcup • \triangleright • \odot • \star • \vee • \bigcirc • \circ • \dagger • \wedge •\text{ }{\color{red}\bullet} • \setminus • \ddagger • \cdot • \wr • \amalg
±•∩•⋄•⊕•∓•∪ •△•⊖•×•⊎•▽•⊗•÷•⊓•◃•⊘•∗•⊔•▹•⊙•⋆•∨•◯•∘•†•∧• ∙•∖•‡•⋅•≀•⨿
Arrows and Other Similar Symbols
\exists\text{ }• \rightarrow\text{ or }\to •\text{ }\nexists\text{ }• \leftarrow\text{ or }\gets •\text{ }\forall\text{ }• \mapsto •\text{ }\neg\text{ }• \implies • \subset • \Rightarrow \text{ or }\implies • \supset • \leftrightarrow • \in • \iff • \notin • \Leftrightarrow • \ni •\text{ }\top • \land • \bot • \lor • \emptyset • \varnothing
∃ •→ or →• ∄ •← or ←• ∀ •↦• ¬ •⟹•⊂•⇒ or ⟹•⊃•↔•∈•⟺•∉•⇔•∋• ⊤•∧•⊥•∨•∅•∅
Barriers and Vertical Arrows
| • \| • / • \backslash • \{ • \} • \langle • \rangle • \uparrow • \Uparrow • \lceil • \rceil • \downarrow • \Downarrow • \lfloor • \rfloor
|•∥•/•∖•{•}•⟨•⟩•↑•⇑•⌈•⌉•↓•⇓•⌊•⌋
Symbols used for Physics, Calculus, etc
\partial • \imath • \Re • \nabla • \aleph • \eth • \jmath • \Im • \Box • \beth • \hbar • \ell • \wp • \infty • \gimel
∂•ı•ℜ•∇•ℵ•ð•ȷ•ℑ•◻•ℶ•ℏ•ℓ•℘•∞•ℷ
Greek
A\alpha • B\beta • \Gamma\gamma • \Delta\delta • E\epsilon\varepsilon • Z\zeta • H\eta • \Theta\theta\vartheta • I\iota • K\kappa • \Lambda\lambda • M\mu • N\nu • \Xi\xi • O\omicron • \Pi\pi\varpi • P\rho\varrho • \Sigma\sigma\varsigma • T\tau • \Upsilon\upsilon • \Phi\phi\varphi • X\chi • \Psi\psi • \Omega\omega
Aα•Bβ•Γγ•Δδ•Eϵε•Zζ•Hη•Θθϑ•Iι•Kκ•Λλ•Mμ•Nν•Ξξ•Oο•Ππϖ•Pρϱ•Σσς•Tτ•Υυ•Φϕφ•Xχ•Ψψ•Ωω
Cool Stuff to Do
1^{2^{3^{4}}} • 1_{2_{3_{4}}} • ^{\text{lbs}}/_{\text{inches}}\times703=\text{BMI} • \frac{\text{lbs}}{\text{inches}}\times703=\text{BMI}
1234•1234• lbs/inches×703=BMI•lbsinches×703=BMI
LATEX Logos
\LaTeX • \TeX
LATEX•TEX
Boxed Equations
\boxed{y=x+2}
y=x+2
All fonts:
\textrm{The quick fox jumped over the lazy dog. 0123456789}\\
\textbf{The quick fox jumped over the lazy dog. 0123456789}\\
\textit{The quick fox jumped over the lazy dog. 0123456789}\\
\texttt{The quick fox jumped over the lazy dog. 0123456789}
The quick fox jumped over the lazy dog. 0123456789The quick fox jumped over the lazy dog. 0123456789The quick fox jumped over the lazy dog. 0123456789The quick fox jumped over the lazy dog. 0123456789
How to format to tables:
\begin{array}
\text{Input} & \text{Output} \\
\hline
1 & 4 \\
2 & 8 \\
3 & 12 \\
4 & 16 \\
5 & 20
\end{array}
InputOutput1428312416520
All colors:
{\color{Apricot}apricot} • {\color{Bittersweet}bittersweet} • {\color{blue}blue} • {\color{blueviolet}blueviolet} • {\color{brown}brown} • {\color{cadetblue}cadetblue} • {\color{Cerulean}cerulean} • {\color{cyan}cyan} • {\color{darkorchid}darkorchid} • {\color{forestgreen}forestgreeen} • {\color{goldenrod}goldenrod} • {\color{green}green} • {\color{JungleGreen}junglegreen} • {\color{limegreen}limegreen} • {\color{Mahogany}mahogany} • {\color{Melon}melon} • {\color{Mulberry}mulberry} • {\color{OliveGreen}olivegreen} • {\color{orangered}orangered} • {\color{Peach}peach} • {\color{PineGreen}pinegreen} • {\color{ProcessBlue}processblue} • {\color{RawSienna}rawsienna} • {\color{RedOrange}redorange} • {\color{Rhodamine}rhodamine} • {\color{RoyalPurple}royalpurple} • {\color{salmon}salmon} • {\color{Sepia}sepia} • {\color{springgreen}springgreen} • {\color{TealBlue}tealblue} • {\color{turquoise}turquoise} • {\color{VioletRed}violetred} • {\color{WildStrawberry}wildstrawberry} • {\color{yellowgreen}yellowgreen}
apricot•bittersweet•blue•blueviolet•brown•cadetblue•cerulean•cyan•darkorchid•forestgreeen•goldenrod•green•junglegreen•limegreen•mahogany•melon•mulberry•olivegreen•orangered•peach•pinegreen•processblue•rawsienna•redorange•rhodamine•royalpurple•salmon•sepia•springgreen•tealblue•turquoise•violetred•wildstrawberry•yellowgreen
{\color{aquamarine}aquamarine} • {\color{bluegreen}bluegreen} • {\color{brickred}brickred} • {\color{burntorange}burntorange} • {\color{carnationpink}carnationpink} • {\color{cornflowerblue}cornflowerblue} • {\color{dandelion}dandelion} • {\color{emerald}emerald} • {\color{fuchsia}fuchsia} • {\color{gray}gray} • {\color{greenyellow}greenyellow} • {\color{lavender}lavender} • {\color{magenta}magenta} • {\color{maroon}maroon} • {\color{midnightblue}midnightblue} • {\color{navyblue}navyblue} • {\color{orange}orange} • {\color{orchid}orchid} • {\color{periwinkle}periwinkle} • {\color{plum}plum} • {\color{purple}purple} • {\color{red}red} • {\color{redviolet}redviolet} • {\color{royalblue}royalblue} • {\color{rubinered}rubinered} • {\color{seagreen}seagreen} • {\color{skyblue}skyblue} • {\color{tan}tan} • {\color{thistle}thistle} • {\color{violet}violet} • {\color{white}white}\text{ }(white) • {\color{yellow}yellow} • {\color{yelloworange}yelloworange}
aquamarine•bluegreen•brickred•burntorange•carnationpink•cornflowerblue•dandelion•emerald•fuchsia•gray•greenyellow•lavender•magenta•maroon•midnightblue•navyblue•orange•orchid•periwinkle•plum•purple•red•redviolet•royalblue•rubinered•seagreen•skyblue•tan•thistle•violet•white (white)•yellow•yelloworange
More fractions:
Warning: When you type a number and then a symbol and a fraction in this code, this fraction is overspaced, like described above. If you write it like this, that won't change. The first one is the only one that's the fixed fraction.
^3/_7 \to ^3/_7 • ^3\text{/}_7 \to ^3\text{/}_7
3/7→3/7•3/7→3/7
To fix this, type \text{ } on the left side of each fraction that you type. You must also do it this way when writing equations:
^3/_7 \to\text{ }^3/_7 • \text{ }^3\text{/}_7\\
^3/_7 +\text{ }^1/_7=\text{ }^4/_7
3/7• 3/73/7+ 1/7= 4/7
Empty Boxes and Spacing
\begin{align}...
2\frac{1}{2}&=\boxed{\phantom{00}}\\...
&=\phantom{0}\frac{5}{2}...
\end{align} • insert~space •.insert\phantom{0}phantom\phantom{0}space • \begin{split}
\int_\boxed{}^\boxed{}\boxed{\phantom{0}}~dx...
\end{split}..
Note: The left figure for fractions is spacing called "phantom". "Phantom" is ideal for making empty boxed equations. The center figures show on the left a space using a tilde, and on the right a "phantom space" using the following command. The figure on the right shows a blank integral; the smaller boxes don't need a "phantom space" as the bigger box needs one.
212=00=052•insert space•insert0phantom0space•∫0 dx
Fixed Limits
\lim\limits_{x \to \infty} \exp(-x) = 0
Note: Type "/lim", then "/limits" to fix the underset.
limx→∞exp(−x)=0
1-Variable Statistics
\begin{array}{c|c}
~ & x & freq \\
\hline
1 & 1 & 1 \\
2 & 2 & 2 \\
3 & 3 & 3 \\
4 & 4 & 4 \\
5 & 5 & 5 \\
6 & 6 & 5 \\
7 & 7 & 4 \\
8 & 8 & 3 \\
9 & 9 & 2.\\
10 & 10 & 1 \\
\end{array} ~~~ \begin{align}
\Sigma x^2 &= 1055 \\
\Sigma x &= 165 \\
n &= 30.\\
\overline{x} &= 5.5 \\
\sigma x &= 2.217355783 \\
\text{S}x &= 2.255262046 \\
\text{min}x &= 1 \\
\text{Q}1 &= 4 \\
\text{med} &= 5.5 \\
\text{Q}3 &= 7 \\
\text{max}x &= 10
\end{align}
xfreq11122233344455566577488399210101 Σx2=1055Σx=165n=30¯x=5.5σx=2.217355783Sx=2.255262046minx=1Q1=4med=5.5Q3=7maxx=10
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. Have a nice and healthy 2018, Melody!