\left. \begin{array} { l } { 46 } \\ { 46 } \\ { 55 } \\ { 24 } \\ { 10 . } \\ { 25 } \\ { 24 } \\ { 31 } \end{array} \right.
Sort
10,24,24,25,31,46,46,55
Evaluate
46,\ 46,\ 55,\ 24,\ 10,\ 25,\ 24,\ 31
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46
To sort the list, start from a single element 46.
46,46
Insert 46 to the appropriate location in the new list.
46,46,55
Insert 55 to the appropriate location in the new list.
24,46,46,55
Insert 24 to the appropriate location in the new list.
10,24,46,46,55
Insert 10 to the appropriate location in the new list.
10,24,25,46,46,55
Insert 25 to the appropriate location in the new list.
10,24,24,25,46,46,55
Insert 24 to the appropriate location in the new list.
10,24,24,25,31,46,46,55
Insert 31 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}