\left. \begin{array} { c } { 69 } \\ { 20 } \\ { 18 } \\ { 42 } \\ { 76 } \\ { 34 } \end{array} \right.
Sort
18,20,34,42,69,76
Evaluate
69,\ 20,\ 18,\ 42,\ 76,\ 34
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69
To sort the list, start from a single element 69.
20,69
Insert 20 to the appropriate location in the new list.
18,20,69
Insert 18 to the appropriate location in the new list.
18,20,42,69
Insert 42 to the appropriate location in the new list.
18,20,42,69,76
Insert 76 to the appropriate location in the new list.
18,20,34,42,69,76
Insert 34 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}