28,45,41,20,25,32
Sort
20,25,28,32,41,45
Evaluate
28,45,41,20,25,32
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28
To sort the list, start from a single element 28.
28,45
Insert 45 to the appropriate location in the new list.
28,41,45
Insert 41 to the appropriate location in the new list.
20,28,41,45
Insert 20 to the appropriate location in the new list.
20,25,28,41,45
Insert 25 to the appropriate location in the new list.
20,25,28,32,41,45
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}