\left. \begin{array} { l } { 7 \times 5 } \\ { 2 + 2 } \\ { 3 \times 5 + 3 } \end{array} \right.
Sort
4,18,35
Evaluate
35,\ 4,\ 18
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sort(35,2+2,3\times 5+3)
Multiply 7 and 5 to get 35.
sort(35,4,3\times 5+3)
Add 2 and 2 to get 4.
sort(35,4,15+3)
Multiply 3 and 5 to get 15.
sort(35,4,18)
Add 15 and 3 to get 18.
35
To sort the list, start from a single element 35.
4,35
Insert 4 to the appropriate location in the new list.
4,18,35
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}