\left. \begin{array} { l } { 85 } \\ { 87 } \\ { 86 } \\ { 83 } \\ { 89 - 5 \div 5 } \end{array} \right.
Sort
83,85,86,87,88
Evaluate
85,\ 87,\ 86,\ 83,\ 88
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sort(85,87,86,83,89-1)
Divide 5 by 5 to get 1.
sort(85,87,86,83,88)
Subtract 1 from 89 to get 88.
85
To sort the list, start from a single element 85.
85,87
Insert 87 to the appropriate location in the new list.
85,86,87
Insert 86 to the appropriate location in the new list.
83,85,86,87
Insert 83 to the appropriate location in the new list.
83,85,86,87,88
Insert 88 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}