Equation Editor

Person

chandra_avinash

Author: chandra_avinash

The equation editor is a powerful tool that allows you to create the most complex math and science equations within your Lesson Page or Test.

I created a lesson but equations don't work, what's up?

You are most likely using the Rich Text Editor,which doesn't allow textiles and equations. In order to do equations in a lesson page you must create a new lesson in the Pro Editor. For more information on how to create and use the pro editor, please read the How to: Pro Editor lesson.

How do I create a equation in my lesson and or test?

All equations must be used in the <math> ... </math> syntax. Which is very similar to writing HTML tags. You can separate regular text from the equation.

For example, typing: <math>2+2=4</math> will generate this image: 2+2=4 .

What format does the equations render in?

When you create a equation syntax it is rendered as a PNG image.

What can I do with the equation editor?

There is so much you can do with the editor, here are a quick few, simple, equations you can do:

Code	Result
2 + 2 = 4
6 \div 2 = 3	$6 \div 2 = 3$
12 * 2-10=34
a ^ 2 + b ^ 2 = c ^ 2
\frac{2}{4}=0.5	$\frac{2}{4}=0.5$

What all can I produce with the equation editor?

The following is a breakdown of exactly what you can do, and how to do it:

Functions, Symbols, and Special Characters

Accents/Diacritics
\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}	$\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}$
\check{a} \bar{a} \ddot{a} \dot{a}	$\check{a} \bar{a} \ddot{a} \dot{a}$
Standard functions
\sin a \cos b \tan c	$\sin a \cos b \tan c$
\sec d \csc e \cot f	$\sec d \csc e \cot f$
\arcsin h \arccos i \arctan j	$\arcsin h \arccos i \arctan j$
\sinh k \cosh l \tanh m \coth n	$\sinh k \cosh l \tanh m \coth n$
\operatorname{sh}o \operatorname{ch}p \operatorname{th}q	$\operatorname{sh}o \operatorname{ch}p \operatorname{th}q$
\operatorname{argsh}r \operatorname{argch}s \operatorname{argth}t	$\operatorname{argsh}r \operatorname{argch}s \operatorname{argth}t$
\lim u \limsup v \liminf w \min x \max y	$\lim u \limsup v \liminf w \min x \max y$
\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g	$\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g$
\deg h \gcd i \Pr j \det k \hom l \arg m \dim n	$\deg h \gcd i \Pr j \det k \hom l \arg m \dim n$
Modular arithmetic
s_k \equiv 0 \pmod{m} a \bmod b	$s_k \equiv 0 \pmod{m} a \bmod b$
Derivatives
\nabla \partial x dx \dot x \ddot y	$\nabla \partial x dx \dot x \ddot y$
Sets
\forall \exists \empty \emptyset \varnothing	$\forall \exists \empty \emptyset \varnothing$
\in \ni \not \in \notin \subset \subseteq \subsetneq \supset \supseteq \supsetneq	$\in \ni \not \in \notin \subset \subseteq \subsetneq \supset \supseteq \supsetneq$
\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus	$\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus$
\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup	$\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup$
Operators
+ \oplus \bigoplus \pm \mp -	$+ \oplus \bigoplus \pm \mp -$
\times \otimes \bigotimes \cdot \circ \bullet \bigodot	$\times \otimes \bigotimes \cdot \circ \bullet \bigodot$
\star * / \div \frac{1}{2}	$\star * / \div \frac{1}{2}$
Logic
\land \wedge \bigwedge \bar{q} \to p	$\land \wedge \bigwedge \bar{q} \to p$
\lor \vee \bigvee \lnot \neg q \And	$\lor \vee \bigvee \lnot \neg q \And$
Root
\sqrt{2} \sqrt[n]{x}	$\sqrt{2} \sqrt[n]{x}$
Relations
\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}	$\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}$
Geometric
Arrows
\leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow	$\leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow$
\mapsto \longmapsto \hookrightarrow \hookleftarrow \nearrow \searrow \swarrow \nwarrow	$\mapsto \longmapsto \hookrightarrow \hookleftarrow \nearrow \searrow \swarrow \nwarrow$
\uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft	$\uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft$
\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow	$\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow$
\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow	$\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow$
\Longrightarrow \Longleftrightarrow (or \iff) \Uparrow \Downarrow \Updownarrow \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft	$\Longrightarrow \Longleftrightarrow (or \iff) \Uparrow \Downarrow \Updownarrow \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft$
\leftrightharpoons \curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright	$\leftrightharpoons \curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright$
\curvearrowright \circlearrowright \Rsh \downdownarrows \multimap \leftrightsquigarrow \rightsquigarrow \nLeftarrow \nleftrightarrow \nRightarrow	$\curvearrowright \circlearrowright \Rsh \downdownarrows \multimap \leftrightsquigarrow \rightsquigarrow \nLeftarrow \nleftrightarrow \nRightarrow$
\nLeftrightarrow \longleftrightarrow	$\nLeftrightarrow \longleftrightarrow$
Special
Unsorted

Subscripts, superscripts, integrals

Super/Subscript
a ^ 2
a_2
a^{2+2}	$a ^ {2+2}$
a_{i,j}	$a_{i,j}$
x_23
Preceding and/or Additional
\sideset{_1 ^ 2}{_3 ^ 4}\prod_a ^ b	$\sideset{_1 ^ 2}{_3 ^ 4}\prod_a ^ b$
{}_1 ^ 2\!\Omega_3 ^ 4	${}_1 ^ 2\!\Omega_3 ^ 4$
Stacking
\overset{\alpha}{\omega}	$\overset{\alpha}{\omega}$
\underset{\alpha}{\omega}	$\underset{\alpha}{\omega}$
\overset{\alpha}{\underset{\gamma}{\omega}}	$\overset{\alpha}{\underset{\gamma}{\omega}}$
\stackrel{\alpha}{\omega}	$\stackrel{\alpha}{\omega}$
Derivative
x ^ \prime, y ^ {\prime\prime}	$x ^ \prime, y ^ {\prime\prime}$
x\prime, y\prime\prime, f\prime	$x\prime, y\prime\prime, f\prime$
\dot{x}, \ddot{x}	$\dot{x}, \ddot{x}$
Underlines, Overlines, Vectors
\hat a \ \bar b \ \vec c	$\hat a \ \bar b \ \vec c$
\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}	$\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}$
\overline{g h i} \ \underline{j k l}	$\overline{g h i} \ \underline{j k l}$
Arrows
A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C	$A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C$
Over/Underbraces
\overbrace{ 1+2+\cdots+100 }^{5050}	$\overbrace{ 1+2+\cdots+100 }^{5050}$
\underbrace{ a+b+\cdots+z }_{26}	$\underbrace{ a+b+\cdots+z }_{26}$
Sum, Product, Limit
\sum_{k=1}^N k^2	$\sum_{k=1}^N k^2$
\textstyle \sum_{k=1}^N k^2	$\textstyle \sum_{k=1}^N k^2$
\prod_{i=1}^N x_i	$\prod_{i=1}^N x_i$
\textstyle \prod_{i=1}^N x_i	$\textstyle \prod_{i=1}^N x_i$
\coprod_{i=1}^N x_i	$\coprod_{i=1}^N x_i$
\textstyle \coprod_{i=1}^N x_i	$\textstyle \coprod_{i=1}^N x_i$
\lim_{n \to \infty}x_n	$\lim_{n \to \infty}x_n$
\textstyle \lim_{n \to \infty}x_n	$\textstyle \lim_{n \to \infty}x_n$
Integral, Intersections, Unions
\int_{-N} ^ {N} e ^ x\, dx	$\int_{-N} ^ {N} e ^ x\, dx$
\textstyle \int_{-N} ^ {N} e ^ x\, dx	$\textstyle \int_{-N} ^ {N} e ^ x\, dx$
\iint_{D} ^ {W} \, dx\,dy	$\iint_{D} ^ {W} \, dx\,dy$
\iiint_{E} ^ {V} \, dx\,dy\,dz	$\iiint_{E} ^ {V} \, dx\,dy\,dz$
\iiiint_{F} ^ {U} \, dx\,dy\,dz\,dt	$\iiiint_{F} ^ {U} \, dx\,dy\,dz\,dt$
\oint_{C} x ^ 3\, dx + 4y ^ 2\, dy	$\oint_{C} x ^ 3\, dx + 4y ^ 2\, dy$
\bigcap_1 ^ {n} p	$\bigcap_1 ^ {n} p$
\bigcup_1 ^ {k} p	$\bigcup_1 ^ {k} p$

Fractions, Coefficients

Fractions
\frac{2}{4}=0.5	$\frac{2}{4}=0.5$
\tfrac{2}{4} = 0.5	$\tfrac{2}{4} = 0.5$
\dfrac{2}{4} = 0.5	$\dfrac{2}{4} = 0.5$
\cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a	$\cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a$
Coefficients
\binom{n}{k}	$\binom{n}{k}$
\tbinom{n}{k}	$\tbinom{n}{k}$
\dbinom{n}{k}	$\dbinom{n}{k}$

Parenthesizing big expressions, brackets, bars

Parentheses, Brackets, Braces
\left ( \frac{a}{b} \right )	$\left ( \frac{a}{b} \right )$
\left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack	$\left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack$
\left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace	$\left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace$
\left \langle \frac{a}{b} \right \rangle	$\left \langle \frac{a}{b} \right \rangle$
\left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil	$\left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil$
\left / \frac{a}{b} \right \backslash	$\left / \frac{a}{b} \right \backslash$
\left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow	$\left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow$
Delimiter
\left . \frac{A}{B} \right \} \to X	$\left . \frac{A}{B} \right \} \to X$
\big( \Big( \bigg( \Bigg( ... \Bigg] \bigg] \Big] \big]	$\big( \Big( \bigg( \Bigg( ... \Bigg] \bigg] \Big] \big]$
\big\{ \Big\{ \bigg\{ \Bigg\{ ... \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle	$\big\{ \Big\{ \bigg\{ \Bigg\{ ... \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle$
\big / \Big / \bigg / \Bigg / ... \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash	$\big / \Big / \bigg / \Bigg / ... \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash$

How do I space between equations?

Use the following guide to help you space:

Feature	Code	Result
quad space	a \quad b	$a \quad b$
double quad space	a \qquad b	$a \qquad b$
small negative space	a\!b	$a\!b$

I can't see the equation image, what's up?

Make sure your web browser (Internet Explorer, Safari, Firefox, etc.) is upgraded to the most current version. In order to do so, I recommend going to your browsers website:

Microsoft Internet Explorer
Apple - Safari
Mozilla Firefox
Opera