\left. \begin{array} { l } { 77 } \\ { 111 } \\ { 57 } \\ { 98 } \\ { 107 } \\ { 44 } \\ { 35 } \\ { 107 } \\ { 66 } \end{array} \right.
Sort
35,44,57,66,77,98,107,107,111
Evaluate
77,\ 111,\ 57,\ 98,\ 107,\ 44,\ 35,\ 107,\ 66
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77
To sort the list, start from a single element 77.
77,111
Insert 111 to the appropriate location in the new list.
57,77,111
Insert 57 to the appropriate location in the new list.
57,77,98,111
Insert 98 to the appropriate location in the new list.
57,77,98,107,111
Insert 107 to the appropriate location in the new list.
44,57,77,98,107,111
Insert 44 to the appropriate location in the new list.
35,44,57,77,98,107,111
Insert 35 to the appropriate location in the new list.
35,44,57,77,98,107,107,111
Insert 107 to the appropriate location in the new list.
35,44,57,66,77,98,107,107,111
Insert 66 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}