\left. \begin{array} { l } { 27 } \\ { 4 } \\ { 10 } \\ { 28 } \\ { 6 } \\ { 13 } \\ { 40 } \\ { 900 } \\ { 7000 } \end{array} \right.
Sort
4,6,10,13,27,28,40,900,7000
Evaluate
27,\ 4,\ 10,\ 28,\ 6,\ 13,\ 40,\ 900,\ 7000
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27
To sort the list, start from a single element 27.
4,27
Insert 4 to the appropriate location in the new list.
4,10,27
Insert 10 to the appropriate location in the new list.
4,10,27,28
Insert 28 to the appropriate location in the new list.
4,6,10,27,28
Insert 6 to the appropriate location in the new list.
4,6,10,13,27,28
Insert 13 to the appropriate location in the new list.
4,6,10,13,27,28,40
Insert 40 to the appropriate location in the new list.
4,6,10,13,27,28,40,900
Insert 900 to the appropriate location in the new list.
4,6,10,13,27,28,40,900,7000
Insert 7000 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}