21,23,43,65,76,23,98,34,62,89
Sort
21,23,23,34,43,62,65,76,89,98
Evaluate
21,23,43,65,76,23,98,34,62,89
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21
To sort the list, start from a single element 21.
21,23
Insert 23 to the appropriate location in the new list.
21,23,43
Insert 43 to the appropriate location in the new list.
21,23,43,65
Insert 65 to the appropriate location in the new list.
21,23,43,65,76
Insert 76 to the appropriate location in the new list.
21,23,23,43,65,76
Insert 23 to the appropriate location in the new list.
21,23,23,43,65,76,98
Insert 98 to the appropriate location in the new list.
21,23,23,34,43,65,76,98
Insert 34 to the appropriate location in the new list.
21,23,23,34,43,62,65,76,98
Insert 62 to the appropriate location in the new list.
21,23,23,34,43,62,65,76,89,98
Insert 89 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}