8,12,16,20,24,28,3
Sort
3,8,12,16,20,24,28
Evaluate
8,12,16,20,24,28,3
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8
To sort the list, start from a single element 8.
8,12
Insert 12 to the appropriate location in the new list.
8,12,16
Insert 16 to the appropriate location in the new list.
8,12,16,20
Insert 20 to the appropriate location in the new list.
8,12,16,20,24
Insert 24 to the appropriate location in the new list.
8,12,16,20,24,28
Insert 28 to the appropriate location in the new list.
3,8,12,16,20,24,28
Insert 3 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}