\left. \begin{array} { c } { 110 } \\ { 200 } \\ { 50 } \\ { 61 } \\ { 90 } \\ { 96 } \\ { 77 } \\ { 40 } \\ { 20 } \end{array} \right.
Sort
20,40,50,61,77,90,96,110,200
Evaluate
110,\ 200,\ 50,\ 61,\ 90,\ 96,\ 77,\ 40,\ 20
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110
To sort the list, start from a single element 110.
110,200
Insert 200 to the appropriate location in the new list.
50,110,200
Insert 50 to the appropriate location in the new list.
50,61,110,200
Insert 61 to the appropriate location in the new list.
50,61,90,110,200
Insert 90 to the appropriate location in the new list.
50,61,90,96,110,200
Insert 96 to the appropriate location in the new list.
50,61,77,90,96,110,200
Insert 77 to the appropriate location in the new list.
40,50,61,77,90,96,110,200
Insert 40 to the appropriate location in the new list.
20,40,50,61,77,90,96,110,200
Insert 20 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}