\left. \begin{array} { l } { 5000000 } \\ { 4166666 } \\ { 1333333 } \\ { 1091666 } \\ { 6432400 } \\ { 2750000 } \\ { 3044840 } \\ { 671910 } \\ { 3000000 } \end{array} \right.
Sort
671910,1091666,1333333,2750000,3000000,3044840,4166666,5000000,6432400
Evaluate
5000000,\ 4166666,\ 1333333,\ 1091666,\ 6432400,\ 2750000,\ 3044840,\ 671910,\ 3000000
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5000000
To sort the list, start from a single element 5000000.
4166666,5000000
Insert 4166666 to the appropriate location in the new list.
1333333,4166666,5000000
Insert 1333333 to the appropriate location in the new list.
1091666,1333333,4166666,5000000
Insert 1091666 to the appropriate location in the new list.
1091666,1333333,4166666,5000000,6432400
Insert 6432400 to the appropriate location in the new list.
1091666,1333333,2750000,4166666,5000000,6432400
Insert 2750000 to the appropriate location in the new list.
1091666,1333333,2750000,3044840,4166666,5000000,6432400
Insert 3044840 to the appropriate location in the new list.
671910,1091666,1333333,2750000,3044840,4166666,5000000,6432400
Insert 671910 to the appropriate location in the new list.
671910,1091666,1333333,2750000,3000000,3044840,4166666,5000000,6432400
Insert 3000000 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}