56,40,43,38,46,38,50,53
Sort
38,38,40,43,46,50,53,56
Evaluate
56,40,43,38,46,38,50,53
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56
To sort the list, start from a single element 56.
40,56
Insert 40 to the appropriate location in the new list.
40,43,56
Insert 43 to the appropriate location in the new list.
38,40,43,56
Insert 38 to the appropriate location in the new list.
38,40,43,46,56
Insert 46 to the appropriate location in the new list.
38,38,40,43,46,56
Insert 38 to the appropriate location in the new list.
38,38,40,43,46,50,56
Insert 50 to the appropriate location in the new list.
38,38,40,43,46,50,53,56
Insert 53 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}