\left. \begin{array} { l } { 50 } \\ { 71 } \\ { 65 } \\ { 44 } \\ { 81 } \\ { 92 } \\ { 80 } \end{array} \right.
Sort
44,50,65,71,80,81,92
Evaluate
50,\ 71,\ 65,\ 44,\ 81,\ 92,\ 80
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50
To sort the list, start from a single element 50.
50,71
Insert 71 to the appropriate location in the new list.
50,65,71
Insert 65 to the appropriate location in the new list.
44,50,65,71
Insert 44 to the appropriate location in the new list.
44,50,65,71,81
Insert 81 to the appropriate location in the new list.
44,50,65,71,81,92
Insert 92 to the appropriate location in the new list.
44,50,65,71,80,81,92
Insert 80 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}