\left. \begin{array} { l } { 677 } \\ { 1408 } \\ { 1095 } \\ { 1080 } \\ { 428 } \\ { 365 } \\ { 220 } \\ { 465 } \end{array} \right.
Sort
220,365,428,465,677,1080,1095,1408
Evaluate
677,\ 1408,\ 1095,\ 1080,\ 428,\ 365,\ 220,\ 465
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677
To sort the list, start from a single element 677.
677,1408
Insert 1408 to the appropriate location in the new list.
677,1095,1408
Insert 1095 to the appropriate location in the new list.
677,1080,1095,1408
Insert 1080 to the appropriate location in the new list.
428,677,1080,1095,1408
Insert 428 to the appropriate location in the new list.
365,428,677,1080,1095,1408
Insert 365 to the appropriate location in the new list.
220,365,428,677,1080,1095,1408
Insert 220 to the appropriate location in the new list.
220,365,428,465,677,1080,1095,1408
Insert 465 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}