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Constructs
Constructs
Basics
1
1,2,3,\ldots
sequence
2
1+2+3+\cdots
sequence
3
\frac{a}{b}
fraction
4
\cfrac{a}{1+\cfrac{b}{c}}
continued fraction
5
^3/_7
simple fraction
6
\sqrt{x}
square root
7
\sqrt[n]{x}
nth root
8
a^b
exponentiation
9
a_b
subscript
10
|x|
absolute value
11
\ln(x)
natural log
12
\log_{a} b
logarithm
13
\binom{n}{k}
binomial
14
|x| = \begin{cases}
x & x\ge 0\\
-x & x<0
\end{cases}
piecewise function
15
\begin{equation} \begin{split} \label{x5} x &= a + b \\ &= c + d + e. \end{split} \end{equation}
multi-line equation
There are no rows in this table
Geometry and trigonometry
1
\angle 45^\circ
angle and degree
2
\triangle ABC
triangle
3
\overline{AB}
segment
4
\sin
sine
5
\cos
cosine
6
\tan
tangent
7
\cot
cotangent
8
\sec
secant
9
\csc
cosecant
10
\arcsin
arcsine
11
\arccos
arccosine
12
\arctan
arctangent
There are no rows in this table
Matrices and arrays
1
\begin{matrix}
a & b & c \\
d & e & f \\
g & h & i
\end{matrix}
matrix
2
\begin{pmatrix}
a & b & c \\
d & e & f \\
g & h & i
\end{pmatrix}
matrix (parentheses)
3
\begin{bmatrix}
a & b & c \\
d & e & f \\
g & h & i
\end{bmatrix}
matrix (brackets)
4
\begin{Bmatrix}
a & b & c \\
d & e & f \\
g & h & i
\end{Bmatrix}
matrix (braces)
5
\begin{vmatrix}
a & b & c \\
d & e & f \\
g & h & i
\end{vmatrix}
matrix (verts)
6
\begin{Vmatrix}
a & b & c \\
d & e & f \\
g & h & i
\end{Vmatrix}
matrix (double verts)
7
A_{m,n} =
\begin{pmatrix}
a_{1,1} & a_{1,2} & \cdots & a_{1,n} \\
a_{2,1} & a_{2,2} & \cdots & a_{2,n} \\
\vdots & \vdots & \ddots & \vdots \\
a_{m,1} & a_{m,2} & \cdots & a_{m,n}
\end{pmatrix}
A_{m,n} =
\begin{pmatrix}
a_{1,1} & a_{1,2} & \cdots & a_{1,n} \\
a_{2,1} & a_{2,2} & \cdots & a_{2,n} \\
\vdots & \vdots & \ddots & \vdots \\
a_{m,1} & a_{m,2} & \cdots & a_{m,n}
\end{pmatrix}
arbitrarily sized matrix with dots
8
n \cdot (
\begin{smallmatrix}
a & b\\
c & d
\end{smallmatrix}
)
small matrix
9
\begin{array}{l|r}
20 & -30\\
30 & -40
\end{array}
array
10
\left|
\begin{array}{ccc}
1 & 2 & 3\\
4 & 5 & 6\\
7 & 8 & 9
\end{array}
\right|
determinant
There are no rows in this table
Set theory
1
\angle 45^\circ
angle and degree
2
\triangle ABC
triangle
3
\overline{AB}
segment
4
\sin
sine
5
\cos
cosine
6
\tan
tangent
7
\cot
cotangent
8
\sec
secant
9
\csc
cosecant
10
\arcsin
arcsine
11
\arccos
arccosine
12
\arctan
arctangent
There are no rows in this table
Calculus
1
\frac{df}{dx}
derivative
2
f'
derivative
3
\frac{\partial f}{\partial x}
partial derivative
4
\int, \int_{-N}^{N} e^x dx
integral
5
\iint
double integral
6
\iiint
triple integral
7
\oint
contour integral
8
\lim_{x \to \infty}
limit
9
\sum_{n=1}^{\infty}a_n
summation
10
\prod_{n=1}^{\infty}a_n
product
There are no rows in this table
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