\left. \begin{array} { l } { 13 } \\ { 0 } \\ { 14 } \\ { 36 } \\ { 18 } \\ { 12 } \end{array} \right.
Sort
0,12,13,14,18,36
Evaluate
13,\ 0,\ 14,\ 36,\ 18,\ 12
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13
To sort the list, start from a single element 13.
0,13
Insert 0 to the appropriate location in the new list.
0,13,14
Insert 14 to the appropriate location in the new list.
0,13,14,36
Insert 36 to the appropriate location in the new list.
0,13,14,18,36
Insert 18 to the appropriate location in the new list.
0,12,13,14,18,36
Insert 12 to the appropriate location in the new list.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}