\left. \begin{array} { l } { 5,3,15 } \\ { 20,30 } \\ { 50,18 } \end{array} \right.
Sort
3,5,15,18,20,30,50
Evaluate
5,\ 3,\ 15,\ 20,\ 30,\ 50,\ 18
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5
To sort the list, start from a single element 5.
3,5
Insert 3 to the appropriate location in the new list.
3,5,15
Insert 15 to the appropriate location in the new list.
3,5,15,20
Insert 20 to the appropriate location in the new list.
3,5,15,20,30
Insert 30 to the appropriate location in the new list.
3,5,15,20,30,50
Insert 50 to the appropriate location in the new list.
3,5,15,18,20,30,50
Insert 18 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}