\left. \begin{array} { c } { 41 } \\ { 15 } \\ { 15 } \\ { 50 } \\ { 50 } \\ { 3 } \\ { 50 } \end{array} \right.
Sort
3,15,15,41,50,50,50
Evaluate
41,\ 15,\ 15,\ 50,\ 50,\ 3,\ 50
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41
To sort the list, start from a single element 41.
15,41
Insert 15 to the appropriate location in the new list.
15,15,41
Insert 15 to the appropriate location in the new list.
15,15,41,50
Insert 50 to the appropriate location in the new list.
15,15,41,50,50
Insert 50 to the appropriate location in the new list.
3,15,15,41,50,50
Insert 3 to the appropriate location in the new list.
3,15,15,41,50,50,50
Insert 50 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}