12,13,14,12,15,13,12,15,13,14
Sort
12,12,12,13,13,13,14,14,15,15
Evaluate
12,13,14,12,15,13,12,15,13,14
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12
To sort the list, start from a single element 12.
12,13
Insert 13 to the appropriate location in the new list.
12,13,14
Insert 14 to the appropriate location in the new list.
12,12,13,14
Insert 12 to the appropriate location in the new list.
12,12,13,14,15
Insert 15 to the appropriate location in the new list.
12,12,13,13,14,15
Insert 13 to the appropriate location in the new list.
12,12,12,13,13,14,15
Insert 12 to the appropriate location in the new list.
12,12,12,13,13,14,15,15
Insert 15 to the appropriate location in the new list.
12,12,12,13,13,13,14,15,15
Insert 13 to the appropriate location in the new list.
12,12,12,13,13,13,14,14,15,15
Insert 14 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}