\left.\begin{array} { c } { 45 } \\ { 36 } \\ { 27 } \\ { 18 } \\ { 9 } \\ { 9 } \end{array} \right\}
Sort
9,9,18,27,36,45
Evaluate
45,\ 36,\ 27,\ 18,\ 9,\ 9
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45
To sort the list, start from a single element 45.
36,45
Insert 36 to the appropriate location in the new list.
27,36,45
Insert 27 to the appropriate location in the new list.
18,27,36,45
Insert 18 to the appropriate location in the new list.
9,18,27,36,45
Insert 9 to the appropriate location in the new list.
9,9,18,27,36,45
Insert 9 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}