16,21,20,19,21,75,18,21,20
Sort
16,18,19,20,20,21,21,21,75
Evaluate
16,21,20,19,21,75,18,21,20
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16
To sort the list, start from a single element 16.
16,21
Insert 21 to the appropriate location in the new list.
16,20,21
Insert 20 to the appropriate location in the new list.
16,19,20,21
Insert 19 to the appropriate location in the new list.
16,19,20,21,21
Insert 21 to the appropriate location in the new list.
16,19,20,21,21,75
Insert 75 to the appropriate location in the new list.
16,18,19,20,21,21,75
Insert 18 to the appropriate location in the new list.
16,18,19,20,21,21,21,75
Insert 21 to the appropriate location in the new list.
16,18,19,20,20,21,21,21,75
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}