\left. \begin{array} { l } { 45 } \\ { 63 } \\ { 72 } \\ { 53 } \\ { 26 + 4 } \end{array} \right.
Sort
30,45,53,63,72
Evaluate
45,\ 63,\ 72,\ 53,\ 30
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sort(45,63,72,53,30)
Add 26 and 4 to get 30.
45
To sort the list, start from a single element 45.
45,63
Insert 63 to the appropriate location in the new list.
45,63,72
Insert 72 to the appropriate location in the new list.
45,53,63,72
Insert 53 to the appropriate location in the new list.
30,45,53,63,72
Insert 30 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}