\left. \begin{array} { l } { 39 } \\ { 15 } \\ { 81 } \\ { 67 } \\ { 63 } \\ { 76 } \\ { 40 } \\ { 92 } \\ { 92 } \end{array} \right.
Sort
15,39,40,63,67,76,81,92,92
Evaluate
39,\ 15,\ 81,\ 67,\ 63,\ 76,\ 40,\ 92,\ 92
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39
To sort the list, start from a single element 39.
15,39
Insert 15 to the appropriate location in the new list.
15,39,81
Insert 81 to the appropriate location in the new list.
15,39,67,81
Insert 67 to the appropriate location in the new list.
15,39,63,67,81
Insert 63 to the appropriate location in the new list.
15,39,63,67,76,81
Insert 76 to the appropriate location in the new list.
15,39,40,63,67,76,81
Insert 40 to the appropriate location in the new list.
15,39,40,63,67,76,81,92
Insert 92 to the appropriate location in the new list.
15,39,40,63,67,76,81,92,92
Insert 92 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}