\left. \begin{array} { c } { 880 } \\ { 860 } \\ { 1480 } \\ { 410 } \\ { 490 } \\ { 870 } \\ { 1130 } \\ { 1980 } \\ { 1750 } \\ { 1780 } \\ { 2070 } \\ { 1515 } \\ { 2230 } \\ { 880 } \\ { 1940 } \\ { 760 } \\ { 1650 } \\ { 2100 } \end{array} \right.
Sort
410,490,760,860,870,880,880,1130,1480,1515,1650,1750,1780,1940,1980,2070,2100,2230
Evaluate
880,\ 860,\ 1480,\ 410,\ 490,\ 870,\ 1130,\ 1980,\ 1750,\ 1780,\ 2070,\ 1515,\ 2230,\ 880,\ 1940,\ 760,\ 1650,\ 2100
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880
To sort the list, start from a single element 880.
860,880
Insert 860 to the appropriate location in the new list.
860,880,1480
Insert 1480 to the appropriate location in the new list.
410,860,880,1480
Insert 410 to the appropriate location in the new list.
410,490,860,880,1480
Insert 490 to the appropriate location in the new list.
410,490,860,870,880,1480
Insert 870 to the appropriate location in the new list.
410,490,860,870,880,1130,1480
Insert 1130 to the appropriate location in the new list.
410,490,860,870,880,1130,1480,1980
Insert 1980 to the appropriate location in the new list.
410,490,860,870,880,1130,1480,1750,1980
Insert 1750 to the appropriate location in the new list.
410,490,860,870,880,1130,1480,1750,1780,1980
Insert 1780 to the appropriate location in the new list.
410,490,860,870,880,1130,1480,1750,1780,1980,2070
Insert 2070 to the appropriate location in the new list.
410,490,860,870,880,1130,1480,1515,1750,1780,1980,2070
Insert 1515 to the appropriate location in the new list.
410,490,860,870,880,1130,1480,1515,1750,1780,1980,2070,2230
Insert 2230 to the appropriate location in the new list.
410,490,860,870,880,880,1130,1480,1515,1750,1780,1980,2070,2230
Insert 880 to the appropriate location in the new list.
410,490,860,870,880,880,1130,1480,1515,1750,1780,1940,1980,2070,2230
Insert 1940 to the appropriate location in the new list.
410,490,760,860,870,880,880,1130,1480,1515,1750,1780,1940,1980,2070,2230
Insert 760 to the appropriate location in the new list.
410,490,760,860,870,880,880,1130,1480,1515,1650,1750,1780,1940,1980,2070,2230
Insert 1650 to the appropriate location in the new list.
410,490,760,860,870,880,880,1130,1480,1515,1650,1750,1780,1940,1980,2070,2100,2230
Insert 2100 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}