13,7,8,37,32,19,17,32,12,26
Sort
7,8,12,13,17,19,26,32,32,37
Evaluate
13,7,8,37,32,19,17,32,12,26
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13
To sort the list, start from a single element 13.
7,13
Insert 7 to the appropriate location in the new list.
7,8,13
Insert 8 to the appropriate location in the new list.
7,8,13,37
Insert 37 to the appropriate location in the new list.
7,8,13,32,37
Insert 32 to the appropriate location in the new list.
7,8,13,19,32,37
Insert 19 to the appropriate location in the new list.
7,8,13,17,19,32,37
Insert 17 to the appropriate location in the new list.
7,8,13,17,19,32,32,37
Insert 32 to the appropriate location in the new list.
7,8,12,13,17,19,32,32,37
Insert 12 to the appropriate location in the new list.
7,8,12,13,17,19,26,32,32,37
Insert 26 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}