\left. \begin{array} { l } { 5678 } \\ { 2012 } \\ { 1111 } \\ { 2120 } \\ { 1010 } \\ { 2024 } \\ { 5672 } \\ { 2220 } \\ { + 0000 } \end{array} \right.
Sort
0,1010,1111,2012,2024,2120,2220,5672,5678
Evaluate
5678,\ 2012,\ 1111,\ 2120,\ 1010,\ 2024,\ 5672,\ 2220,\ 0
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5678
To sort the list, start from a single element 5678.
2012,5678
Insert 2012 to the appropriate location in the new list.
1111,2012,5678
Insert 1111 to the appropriate location in the new list.
1111,2012,2120,5678
Insert 2120 to the appropriate location in the new list.
1010,1111,2012,2120,5678
Insert 1010 to the appropriate location in the new list.
1010,1111,2012,2024,2120,5678
Insert 2024 to the appropriate location in the new list.
1010,1111,2012,2024,2120,5672,5678
Insert 5672 to the appropriate location in the new list.
1010,1111,2012,2024,2120,2220,5672,5678
Insert 2220 to the appropriate location in the new list.
0,1010,1111,2012,2024,2120,2220,5672,5678
Insert 0 to the appropriate location in the new list.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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}