32,13,46,28,51,62,19,38,73,47
Sort
13,19,28,32,38,46,47,51,62,73
Evaluate
32,13,46,28,51,62,19,38,73,47
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32
To sort the list, start from a single element 32.
13,32
Insert 13 to the appropriate location in the new list.
13,32,46
Insert 46 to the appropriate location in the new list.
13,28,32,46
Insert 28 to the appropriate location in the new list.
13,28,32,46,51
Insert 51 to the appropriate location in the new list.
13,28,32,46,51,62
Insert 62 to the appropriate location in the new list.
13,19,28,32,46,51,62
Insert 19 to the appropriate location in the new list.
13,19,28,32,38,46,51,62
Insert 38 to the appropriate location in the new list.
13,19,28,32,38,46,51,62,73
Insert 73 to the appropriate location in the new list.
13,19,28,32,38,46,47,51,62,73
Insert 47 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}