\left. \begin{array} { c } { 70 } \\ { 50 } \\ { 40 } \\ \hline 50 \\ \hline 80 \\ \hline 40 \end{array} \right.
Sort
40,40,50,50,70,80
Evaluate
70,\ 50,\ 40,\ 50,\ 80,\ 40
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70
To sort the list, start from a single element 70.
50,70
Insert 50 to the appropriate location in the new list.
40,50,70
Insert 40 to the appropriate location in the new list.
40,50,50,70
Insert 50 to the appropriate location in the new list.
40,50,50,70,80
Insert 80 to the appropriate location in the new list.
40,40,50,50,70,80
Insert 40 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}