\left. \begin{array} { c } { 98 } \\ { 85 } \\ { 95 } \\ { 95 } \\ { 96 } \\ { 100 } \\ { 99 } \end{array} \right.
Sort
85,95,95,96,98,99,100
Evaluate
98,\ 85,\ 95,\ 95,\ 96,\ 100,\ 99
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98
To sort the list, start from a single element 98.
85,98
Insert 85 to the appropriate location in the new list.
85,95,98
Insert 95 to the appropriate location in the new list.
85,95,95,98
Insert 95 to the appropriate location in the new list.
85,95,95,96,98
Insert 96 to the appropriate location in the new list.
85,95,95,96,98,100
Insert 100 to the appropriate location in the new list.
85,95,95,96,98,99,100
Insert 99 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}