\left. \begin{array} { l } { 25 } \\ { 22 } \\ { 25 } \\ { 24 } \\ { 33 } \\ { 130 } \\ { 50 } \end{array} \right.
Sort
22,24,25,25,33,50,130
Evaluate
25,\ 22,\ 25,\ 24,\ 33,\ 130,\ 50
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25
To sort the list, start from a single element 25.
22,25
Insert 22 to the appropriate location in the new list.
22,25,25
Insert 25 to the appropriate location in the new list.
22,24,25,25
Insert 24 to the appropriate location in the new list.
22,24,25,25,33
Insert 33 to the appropriate location in the new list.
22,24,25,25,33,130
Insert 130 to the appropriate location in the new list.
22,24,25,25,33,50,130
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}