82,66,39,49,75,80,77,52
Sort
39,49,52,66,75,77,80,82
Evaluate
82,66,39,49,75,80,77,52
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82
To sort the list, start from a single element 82.
66,82
Insert 66 to the appropriate location in the new list.
39,66,82
Insert 39 to the appropriate location in the new list.
39,49,66,82
Insert 49 to the appropriate location in the new list.
39,49,66,75,82
Insert 75 to the appropriate location in the new list.
39,49,66,75,80,82
Insert 80 to the appropriate location in the new list.
39,49,66,75,77,80,82
Insert 77 to the appropriate location in the new list.
39,49,52,66,75,77,80,82
Insert 52 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}