\left. \begin{array} { l } { 23,27,31,20,18,30 } \\ { 42,36,30,42 } \end{array} \right.
Sort
18,20,23,27,30,30,31,36,42,42
Evaluate
23,\ 27,\ 31,\ 20,\ 18,\ 30,\ 42,\ 36,\ 30,\ 42
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23
To sort the list, start from a single element 23.
23,27
Insert 27 to the appropriate location in the new list.
23,27,31
Insert 31 to the appropriate location in the new list.
20,23,27,31
Insert 20 to the appropriate location in the new list.
18,20,23,27,31
Insert 18 to the appropriate location in the new list.
18,20,23,27,30,31
Insert 30 to the appropriate location in the new list.
18,20,23,27,30,31,42
Insert 42 to the appropriate location in the new list.
18,20,23,27,30,31,36,42
Insert 36 to the appropriate location in the new list.
18,20,23,27,30,30,31,36,42
Insert 30 to the appropriate location in the new list.
18,20,23,27,30,30,31,36,42,42
Insert 42 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}