\left. \begin{array} { l } { 50 + 457 } \\ { 80 + 60 } \\ { 1180 + 450 } \\ { + 170 + 65 } \end{array} \right.
Sort
140,235,507,1630
Evaluate
507,\ 140,\ 1630,\ 235
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sort(507,80+60,1180+450,170+65)
Add 50 and 457 to get 507.
sort(507,140,1180+450,170+65)
Add 80 and 60 to get 140.
sort(507,140,1630,170+65)
Add 1180 and 450 to get 1630.
sort(507,140,1630,235)
Add 170 and 65 to get 235.
507
To sort the list, start from a single element 507.
140,507
Insert 140 to the appropriate location in the new list.
140,507,1630
Insert 1630 to the appropriate location in the new list.
140,235,507,1630
Insert 235 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}