\left. \begin{array} { r } { 3,78,630 } \\ { 20 } \\ \hline 3,78,650 \\ { 30,790 } \end{array} \right.
Sort
3,3,20,30,78,78,630,650,790
Evaluate
3,\ 78,\ 630,\ 20,\ 3,\ 78,\ 650,\ 30,\ 790
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3
To sort the list, start from a single element 3.
3,78
Insert 78 to the appropriate location in the new list.
3,78,630
Insert 630 to the appropriate location in the new list.
3,20,78,630
Insert 20 to the appropriate location in the new list.
3,3,20,78,630
Insert 3 to the appropriate location in the new list.
3,3,20,78,78,630
Insert 78 to the appropriate location in the new list.
3,3,20,78,78,630,650
Insert 650 to the appropriate location in the new list.
3,3,20,30,78,78,630,650
Insert 30 to the appropriate location in the new list.
3,3,20,30,78,78,630,650,790
Insert 790 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}