\left. \begin{array} { c } { 4.10 } \\ { 82.50 } \\ { 6.20 } \\ { 6.60 } \\ { 11.30 } \\ { 4.86 } \\ { 36.40 } \\ { 74.90 } \\ { 23.30 } \\ { 14.20 } \end{array} \right.
Sort
4.1,4.86,6.2,6.6,11.3,14.2,23.3,36.4,74.9,82.5
Evaluate
4.1,\ 82.5,\ 6.2,\ 6.6,\ 11.3,\ 4.86,\ 36.4,\ 74.9,\ 23.3,\ 14.2
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4.1
To sort the list, start from a single element 4.1.
4.1,82.5
Insert 82.5 to the appropriate location in the new list.
4.1,6.2,82.5
Insert 6.2 to the appropriate location in the new list.
4.1,6.2,6.6,82.5
Insert 6.6 to the appropriate location in the new list.
4.1,6.2,6.6,11.3,82.5
Insert 11.3 to the appropriate location in the new list.
4.1,4.86,6.2,6.6,11.3,82.5
Insert 4.86 to the appropriate location in the new list.
4.1,4.86,6.2,6.6,11.3,36.4,82.5
Insert 36.4 to the appropriate location in the new list.
4.1,4.86,6.2,6.6,11.3,36.4,74.9,82.5
Insert 74.9 to the appropriate location in the new list.
4.1,4.86,6.2,6.6,11.3,23.3,36.4,74.9,82.5
Insert 23.3 to the appropriate location in the new list.
4.1,4.86,6.2,6.6,11.3,14.2,23.3,36.4,74.9,82.5
Insert 14.2 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}