\{ 93,47,47,47,10,83,14,44,27,91,44,84,72,60,47,87,84,23,15
Sort
10,14,15,23,27,44,44,47,47,47,47,60,72,83,84,84,87,91,93
Evaluate
93,47,47,47,10,83,14,44,27,91,44,84,72,60,47,87,84,23,15
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93
To sort the list, start from a single element 93.
47,93
Insert 47 to the appropriate location in the new list.
47,47,93
Insert 47 to the appropriate location in the new list.
47,47,47,93
Insert 47 to the appropriate location in the new list.
10,47,47,47,93
Insert 10 to the appropriate location in the new list.
10,47,47,47,83,93
Insert 83 to the appropriate location in the new list.
10,14,47,47,47,83,93
Insert 14 to the appropriate location in the new list.
10,14,44,47,47,47,83,93
Insert 44 to the appropriate location in the new list.
10,14,27,44,47,47,47,83,93
Insert 27 to the appropriate location in the new list.
10,14,27,44,47,47,47,83,91,93
Insert 91 to the appropriate location in the new list.
10,14,27,44,44,47,47,47,83,91,93
Insert 44 to the appropriate location in the new list.
10,14,27,44,44,47,47,47,83,84,91,93
Insert 84 to the appropriate location in the new list.
10,14,27,44,44,47,47,47,72,83,84,91,93
Insert 72 to the appropriate location in the new list.
10,14,27,44,44,47,47,47,60,72,83,84,91,93
Insert 60 to the appropriate location in the new list.
10,14,27,44,44,47,47,47,47,60,72,83,84,91,93
Insert 47 to the appropriate location in the new list.
10,14,27,44,44,47,47,47,47,60,72,83,84,87,91,93
Insert 87 to the appropriate location in the new list.
10,14,27,44,44,47,47,47,47,60,72,83,84,84,87,91,93
Insert 84 to the appropriate location in the new list.
10,14,23,27,44,44,47,47,47,47,60,72,83,84,84,87,91,93
Insert 23 to the appropriate location in the new list.
10,14,15,23,27,44,44,47,47,47,47,60,72,83,84,84,87,91,93
Insert 15 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}