\left. \begin{array} { l } { 213 } \\ { 208 } \\ { 203 } \\ { 206 } \\ { 206 } \\ { 205 } \\ { 216 } \\ { 217 } \\ { 200 } \\ { 20.78 } \end{array} \right.
Sort
20.78,200,203,205,206,206,208,213,216,217
Evaluate
213,\ 208,\ 203,\ 206,\ 206,\ 205,\ 216,\ 217,\ 200,\ 20.78
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213
To sort the list, start from a single element 213.
208,213
Insert 208 to the appropriate location in the new list.
203,208,213
Insert 203 to the appropriate location in the new list.
203,206,208,213
Insert 206 to the appropriate location in the new list.
203,206,206,208,213
Insert 206 to the appropriate location in the new list.
203,205,206,206,208,213
Insert 205 to the appropriate location in the new list.
203,205,206,206,208,213,216
Insert 216 to the appropriate location in the new list.
203,205,206,206,208,213,216,217
Insert 217 to the appropriate location in the new list.
200,203,205,206,206,208,213,216,217
Insert 200 to the appropriate location in the new list.
20.78,200,203,205,206,206,208,213,216,217
Insert 20.78 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}