\left. \begin{array} { l } { 11,3,2,18,14 } \\ { 14,9,5,7,17 } \\ { 3,4,16,15,19 } \\ { 1,1,9,5,11 } \\ { 13,3,1,1,4 } \end{array} \right.
Sort
1,1,1,1,2,3,3,3,4,4,5,5,7,9,9,11,11,13,14,14,15,16,17,18,19
Evaluate
11,\ 3,\ 2,\ 18,\ 14,\ 14,\ 9,\ 5,\ 7,\ 17,\ 3,\ 4,\ 16,\ 15,\ 19,\ 1,\ 1,\ 9,\ 5,\ 11,\ 13,\ 3,\ 1,\ 1,\ 4
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11
To sort the list, start from a single element 11.
3,11
Insert 3 to the appropriate location in the new list.
2,3,11
Insert 2 to the appropriate location in the new list.
2,3,11,18
Insert 18 to the appropriate location in the new list.
2,3,11,14,18
Insert 14 to the appropriate location in the new list.
2,3,11,14,14,18
Insert 14 to the appropriate location in the new list.
2,3,9,11,14,14,18
Insert 9 to the appropriate location in the new list.
2,3,5,9,11,14,14,18
Insert 5 to the appropriate location in the new list.
2,3,5,7,9,11,14,14,18
Insert 7 to the appropriate location in the new list.
2,3,5,7,9,11,14,14,17,18
Insert 17 to the appropriate location in the new list.
2,3,3,5,7,9,11,14,14,17,18
Insert 3 to the appropriate location in the new list.
2,3,3,4,5,7,9,11,14,14,17,18
Insert 4 to the appropriate location in the new list.
2,3,3,4,5,7,9,11,14,14,16,17,18
Insert 16 to the appropriate location in the new list.
2,3,3,4,5,7,9,11,14,14,15,16,17,18
Insert 15 to the appropriate location in the new list.
2,3,3,4,5,7,9,11,14,14,15,16,17,18,19
Insert 19 to the appropriate location in the new list.
1,2,3,3,4,5,7,9,11,14,14,15,16,17,18,19
Insert 1 to the appropriate location in the new list.
1,1,2,3,3,4,5,7,9,11,14,14,15,16,17,18,19
Insert 1 to the appropriate location in the new list.
1,1,2,3,3,4,5,7,9,9,11,14,14,15,16,17,18,19
Insert 9 to the appropriate location in the new list.
1,1,2,3,3,4,5,5,7,9,9,11,14,14,15,16,17,18,19
Insert 5 to the appropriate location in the new list.
1,1,2,3,3,4,5,5,7,9,9,11,11,14,14,15,16,17,18,19
Insert 11 to the appropriate location in the new list.
1,1,2,3,3,4,5,5,7,9,9,11,11,13,14,14,15,16,17,18,19
Insert 13 to the appropriate location in the new list.
1,1,2,3,3,3,4,5,5,7,9,9,11,11,13,14,14,15,16,17,18,19
Insert 3 to the appropriate location in the new list.
1,1,1,2,3,3,3,4,5,5,7,9,9,11,11,13,14,14,15,16,17,18,19
Insert 1 to the appropriate location in the new list.
1,1,1,1,2,3,3,3,4,5,5,7,9,9,11,11,13,14,14,15,16,17,18,19
Insert 1 to the appropriate location in the new list.
1,1,1,1,2,3,3,3,4,4,5,5,7,9,9,11,11,13,14,14,15,16,17,18,19
Insert 4 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}