\left. \begin{array} { l } { 34 } \\ { 36 } \\ { 39 } \\ { 59 } \\ { 56 } \\ { 53 } \\ { 66 } \\ { 87 } \\ { 13 } \\ { 16 } \\ { 55 } \end{array} \right.
Sort
13,16,34,36,39,53,55,56,59,66,87
Evaluate
34,\ 36,\ 39,\ 59,\ 56,\ 53,\ 66,\ 87,\ 13,\ 16,\ 55
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34
To sort the list, start from a single element 34.
34,36
Insert 36 to the appropriate location in the new list.
34,36,39
Insert 39 to the appropriate location in the new list.
34,36,39,59
Insert 59 to the appropriate location in the new list.
34,36,39,56,59
Insert 56 to the appropriate location in the new list.
34,36,39,53,56,59
Insert 53 to the appropriate location in the new list.
34,36,39,53,56,59,66
Insert 66 to the appropriate location in the new list.
34,36,39,53,56,59,66,87
Insert 87 to the appropriate location in the new list.
13,34,36,39,53,56,59,66,87
Insert 13 to the appropriate location in the new list.
13,16,34,36,39,53,56,59,66,87
Insert 16 to the appropriate location in the new list.
13,16,34,36,39,53,55,56,59,66,87
Insert 55 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}