\left. \begin{array} { c } { 46,00 } \\ { 31,00 } \\ { 77,00 } \\ { 6,00 } \\ { 12,88 } \\ { 29,18 } \\ { 12,83 } \\ { 12,83 } \\ { 16,35 } \end{array} \right.
Sort
6;12,83;12,83;12,88;16,35;29,18;31;46;77
Evaluate
46,\ 31,\ 77,\ 6,\ 12,88,\ 29,18,\ 12,83,\ 12,83,\ 16,35
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46
To sort the list, start from a single element 46.
31;46
Insert 31 to the appropriate location in the new list.
31;46;77
Insert 77 to the appropriate location in the new list.
6;31;46;77
Insert 6 to the appropriate location in the new list.
6;12,88;31;46;77
Insert 12,88 to the appropriate location in the new list.
6;12,88;29,18;31;46;77
Insert 29,18 to the appropriate location in the new list.
6;12,83;12,88;29,18;31;46;77
Insert 12,83 to the appropriate location in the new list.
6;12,83;12,83;12,88;29,18;31;46;77
Insert 12,83 to the appropriate location in the new list.
6;12,83;12,83;12,88;16,35;29,18;31;46;77
Insert 16,35 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}