\left. \begin{array} { l } { 54.89 } \\ { 516.91 } \\ { 514.28 } \\ { 51.35 } \\ { 532.19 } \\ { 542.68 } \end{array} \right.
Sort
51.35,54.89,514.28,516.91,532.19,542.68
Evaluate
54.89,\ 516.91,\ 514.28,\ 51.35,\ 532.19,\ 542.68
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54.89
To sort the list, start from a single element 54.89.
54.89,516.91
Insert 516.91 to the appropriate location in the new list.
54.89,514.28,516.91
Insert 514.28 to the appropriate location in the new list.
51.35,54.89,514.28,516.91
Insert 51.35 to the appropriate location in the new list.
51.35,54.89,514.28,516.91,532.19
Insert 532.19 to the appropriate location in the new list.
51.35,54.89,514.28,516.91,532.19,542.68
Insert 542.68 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}