\left. \begin{array} { l } { 36 } \\ { 36 } \\ { 46 } \\ { 47 } \\ { 53 } \\ { 56 } \\ { 37 } \\ { 37 } \\ { 13 } \\ { 11 } \end{array} \right.
Sort
11,13,36,36,37,37,46,47,53,56
Evaluate
36,\ 36,\ 46,\ 47,\ 53,\ 56,\ 37,\ 37,\ 13,\ 11
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36
To sort the list, start from a single element 36.
36,36
Insert 36 to the appropriate location in the new list.
36,36,46
Insert 46 to the appropriate location in the new list.
36,36,46,47
Insert 47 to the appropriate location in the new list.
36,36,46,47,53
Insert 53 to the appropriate location in the new list.
36,36,46,47,53,56
Insert 56 to the appropriate location in the new list.
36,36,37,46,47,53,56
Insert 37 to the appropriate location in the new list.
36,36,37,37,46,47,53,56
Insert 37 to the appropriate location in the new list.
13,36,36,37,37,46,47,53,56
Insert 13 to the appropriate location in the new list.
11,13,36,36,37,37,46,47,53,56
Insert 11 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}