\left. \begin{array} { l } { 112000 } \\ { 53500 } \\ { 31000 } \\ { 83500 } \\ { 55000 } \\ { 14000 } \\ { 4200 } \\ { 51500 } \\ { 11000 } \\ { 29000 } \end{array} \right.
Sort
4200,11000,14000,29000,31000,51500,53500,55000,83500,112000
Evaluate
112000,\ 53500,\ 31000,\ 83500,\ 55000,\ 14000,\ 4200,\ 51500,\ 11000,\ 29000
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112000
To sort the list, start from a single element 112000.
53500,112000
Insert 53500 to the appropriate location in the new list.
31000,53500,112000
Insert 31000 to the appropriate location in the new list.
31000,53500,83500,112000
Insert 83500 to the appropriate location in the new list.
31000,53500,55000,83500,112000
Insert 55000 to the appropriate location in the new list.
14000,31000,53500,55000,83500,112000
Insert 14000 to the appropriate location in the new list.
4200,14000,31000,53500,55000,83500,112000
Insert 4200 to the appropriate location in the new list.
4200,14000,31000,51500,53500,55000,83500,112000
Insert 51500 to the appropriate location in the new list.
4200,11000,14000,31000,51500,53500,55000,83500,112000
Insert 11000 to the appropriate location in the new list.
4200,11000,14000,29000,31000,51500,53500,55000,83500,112000
Insert 29000 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}