\left. \begin{array} { l } { 33 } \\ { 63 } \\ { 17 } \\ { 55 } \\ { 55 } \\ { 25 } \\ { 44 } \\ { + 63 } \\ { + 32 } \end{array} \right.
Sort
17,25,32,33,44,55,55,63,63
Evaluate
33,\ 63,\ 17,\ 55,\ 55,\ 25,\ 44,\ 63,\ 32
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33
To sort the list, start from a single element 33.
33,63
Insert 63 to the appropriate location in the new list.
17,33,63
Insert 17 to the appropriate location in the new list.
17,33,55,63
Insert 55 to the appropriate location in the new list.
17,33,55,55,63
Insert 55 to the appropriate location in the new list.
17,25,33,55,55,63
Insert 25 to the appropriate location in the new list.
17,25,33,44,55,55,63
Insert 44 to the appropriate location in the new list.
17,25,33,44,55,55,63,63
Insert 63 to the appropriate location in the new list.
17,25,32,33,44,55,55,63,63
Insert 32 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}