\left. \begin{array} { l } { 380 } \\ { 464 } \\ { 67 } \\ { 249 } \\ { 201 } \\ { 59 } \\ { 133 } \\ { 285 } \\ { 679 } \end{array} \right.
Sort
59,67,133,201,249,285,380,464,679
Evaluate
380,\ 464,\ 67,\ 249,\ 201,\ 59,\ 133,\ 285,\ 679
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380
To sort the list, start from a single element 380.
380,464
Insert 464 to the appropriate location in the new list.
67,380,464
Insert 67 to the appropriate location in the new list.
67,249,380,464
Insert 249 to the appropriate location in the new list.
67,201,249,380,464
Insert 201 to the appropriate location in the new list.
59,67,201,249,380,464
Insert 59 to the appropriate location in the new list.
59,67,133,201,249,380,464
Insert 133 to the appropriate location in the new list.
59,67,133,201,249,285,380,464
Insert 285 to the appropriate location in the new list.
59,67,133,201,249,285,380,464,679
Insert 679 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}