\left. \begin{array} { l } { 55 + 6 } \\ { 2 + 29 } \\ { 36 + 7 } \\ { 44 + 8 } \end{array} \right.
Sort
31,43,52,61
Evaluate
61,\ 31,\ 43,\ 52
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sort(61,2+29,36+7,44+8)
Add 55 and 6 to get 61.
sort(61,31,36+7,44+8)
Add 2 and 29 to get 31.
sort(61,31,43,44+8)
Add 36 and 7 to get 43.
sort(61,31,43,52)
Add 44 and 8 to get 52.
61
To sort the list, start from a single element 61.
31,61
Insert 31 to the appropriate location in the new list.
31,43,61
Insert 43 to the appropriate location in the new list.
31,43,52,61
Insert 52 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}