\left. \begin{array} { l } { 76 : 4 } \\ { 56 : 4 } \\ { 92 : 4 } \\ { 72 : 4 } \\ { 36 : 2 } \end{array} \right.
Sort
14,18,18,19,23
Evaluate
19,\ 14,\ 23,\ 18,\ 18
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sort(19,\frac{56}{4},\frac{92}{4},\frac{72}{4},\frac{36}{2})
Divide 76 by 4 to get 19.
sort(19,14,\frac{92}{4},\frac{72}{4},\frac{36}{2})
Divide 56 by 4 to get 14.
sort(19,14,23,\frac{72}{4},\frac{36}{2})
Divide 92 by 4 to get 23.
sort(19,14,23,18,\frac{36}{2})
Divide 72 by 4 to get 18.
sort(19,14,23,18,18)
Divide 36 by 2 to get 18.
19
To sort the list, start from a single element 19.
14,19
Insert 14 to the appropriate location in the new list.
14,19,23
Insert 23 to the appropriate location in the new list.
14,18,19,23
Insert 18 to the appropriate location in the new list.
14,18,18,19,23
Insert 18 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}