14,12,13,23,22,21
Sort
12,13,14,21,22,23
Evaluate
14,12,13,23,22,21
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14
To sort the list, start from a single element 14.
12,14
Insert 12 to the appropriate location in the new list.
12,13,14
Insert 13 to the appropriate location in the new list.
12,13,14,23
Insert 23 to the appropriate location in the new list.
12,13,14,22,23
Insert 22 to the appropriate location in the new list.
12,13,14,21,22,23
Insert 21 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}