\left. \begin{array} { l } { 60 } \\ { 32 } \\ { 12 } \\ { 5 } \\ { 55 } \\ { 58 } \end{array} \right.
Sort
5,12,32,55,58,60
Evaluate
60,\ 32,\ 12,\ 5,\ 55,\ 58
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60
To sort the list, start from a single element 60.
32,60
Insert 32 to the appropriate location in the new list.
12,32,60
Insert 12 to the appropriate location in the new list.
5,12,32,60
Insert 5 to the appropriate location in the new list.
5,12,32,55,60
Insert 55 to the appropriate location in the new list.
5,12,32,55,58,60
Insert 58 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}