\left. \begin{array} { l } { 75.50 } \\ { 85.58 } \\ { 65.25 } \\ { 70.28 } \\ { 95.50 } \\ { 85.40 } \\ { 45.50 } \end{array} \right.
Sort
45.5,65.25,70.28,75.5,85.4,85.58,95.5
Evaluate
75.5,\ 85.58,\ 65.25,\ 70.28,\ 95.5,\ 85.4,\ 45.5
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75.5
To sort the list, start from a single element 75.5.
75.5,85.58
Insert 85.58 to the appropriate location in the new list.
65.25,75.5,85.58
Insert 65.25 to the appropriate location in the new list.
65.25,70.28,75.5,85.58
Insert 70.28 to the appropriate location in the new list.
65.25,70.28,75.5,85.58,95.5
Insert 95.5 to the appropriate location in the new list.
65.25,70.28,75.5,85.4,85.58,95.5
Insert 85.4 to the appropriate location in the new list.
45.5,65.25,70.28,75.5,85.4,85.58,95.5
Insert 45.5 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}