\left. \begin{array} { l } { 17 } \\ { 80 } \\ { 39 } \\ { 48 } \\ { 91 } \\ { 26 } \end{array} \right.
Sort
17,26,39,48,80,91
Evaluate
17,\ 80,\ 39,\ 48,\ 91,\ 26
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17
To sort the list, start from a single element 17.
17,80
Insert 80 to the appropriate location in the new list.
17,39,80
Insert 39 to the appropriate location in the new list.
17,39,48,80
Insert 48 to the appropriate location in the new list.
17,39,48,80,91
Insert 91 to the appropriate location in the new list.
17,26,39,48,80,91
Insert 26 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}