\left. \begin{array} { r } { 230 } \\ { 10 } \\ { 50 } \\ { 30 } \\ { 59 } \\ { 16 } \\ { 49 } \\ { 59 } \\ { 52 } \end{array} \right.
Sort
10,16,30,49,50,52,59,59,230
Evaluate
230,\ 10,\ 50,\ 30,\ 59,\ 16,\ 49,\ 59,\ 52
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230
To sort the list, start from a single element 230.
10,230
Insert 10 to the appropriate location in the new list.
10,50,230
Insert 50 to the appropriate location in the new list.
10,30,50,230
Insert 30 to the appropriate location in the new list.
10,30,50,59,230
Insert 59 to the appropriate location in the new list.
10,16,30,50,59,230
Insert 16 to the appropriate location in the new list.
10,16,30,49,50,59,230
Insert 49 to the appropriate location in the new list.
10,16,30,49,50,59,59,230
Insert 59 to the appropriate location in the new list.
10,16,30,49,50,52,59,59,230
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}