\left. \begin{array} { r } { 88 } \\ { 55 } \\ { 156 } \\ { 147 } \\ { 93 } \\ { 55 } \\ { 138 } \\ { 34 } \\ { 162 } \end{array} \right.
Sort
34,55,55,88,93,138,147,156,162
Evaluate
88,\ 55,\ 156,\ 147,\ 93,\ 55,\ 138,\ 34,\ 162
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88
To sort the list, start from a single element 88.
55,88
Insert 55 to the appropriate location in the new list.
55,88,156
Insert 156 to the appropriate location in the new list.
55,88,147,156
Insert 147 to the appropriate location in the new list.
55,88,93,147,156
Insert 93 to the appropriate location in the new list.
55,55,88,93,147,156
Insert 55 to the appropriate location in the new list.
55,55,88,93,138,147,156
Insert 138 to the appropriate location in the new list.
34,55,55,88,93,138,147,156
Insert 34 to the appropriate location in the new list.
34,55,55,88,93,138,147,156,162
Insert 162 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}