78,56,22,34,45,54,39,68,54,84
Sort
22,34,39,45,54,54,56,68,78,84
Evaluate
78,56,22,34,45,54,39,68,54,84
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78
To sort the list, start from a single element 78.
56,78
Insert 56 to the appropriate location in the new list.
22,56,78
Insert 22 to the appropriate location in the new list.
22,34,56,78
Insert 34 to the appropriate location in the new list.
22,34,45,56,78
Insert 45 to the appropriate location in the new list.
22,34,45,54,56,78
Insert 54 to the appropriate location in the new list.
22,34,39,45,54,56,78
Insert 39 to the appropriate location in the new list.
22,34,39,45,54,56,68,78
Insert 68 to the appropriate location in the new list.
22,34,39,45,54,54,56,68,78
Insert 54 to the appropriate location in the new list.
22,34,39,45,54,54,56,68,78,84
Insert 84 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}