\left. \begin{array} { c } { 48 } \\ { 95 } \\ { 28 } \\ { 60 } \\ { 60 } \\ { 36 } \\ { 80 } \\ { 100 } \\ { 106 } \\ { 10 } \\ { 12 } \\ { 10 } \end{array} \right.
Sort
10,10,12,28,36,48,60,60,80,95,100,106
Evaluate
48,\ 95,\ 28,\ 60,\ 60,\ 36,\ 80,\ 100,\ 106,\ 10,\ 12,\ 10
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48
To sort the list, start from a single element 48.
48,95
Insert 95 to the appropriate location in the new list.
28,48,95
Insert 28 to the appropriate location in the new list.
28,48,60,95
Insert 60 to the appropriate location in the new list.
28,48,60,60,95
Insert 60 to the appropriate location in the new list.
28,36,48,60,60,95
Insert 36 to the appropriate location in the new list.
28,36,48,60,60,80,95
Insert 80 to the appropriate location in the new list.
28,36,48,60,60,80,95,100
Insert 100 to the appropriate location in the new list.
28,36,48,60,60,80,95,100,106
Insert 106 to the appropriate location in the new list.
10,28,36,48,60,60,80,95,100,106
Insert 10 to the appropriate location in the new list.
10,12,28,36,48,60,60,80,95,100,106
Insert 12 to the appropriate location in the new list.
10,10,12,28,36,48,60,60,80,95,100,106
Insert 10 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}