27,32,49,75,83,13
Sort
13,27,32,49,75,83
Evaluate
27,32,49,75,83,13
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27
To sort the list, start from a single element 27.
27,32
Insert 32 to the appropriate location in the new list.
27,32,49
Insert 49 to the appropriate location in the new list.
27,32,49,75
Insert 75 to the appropriate location in the new list.
27,32,49,75,83
Insert 83 to the appropriate location in the new list.
13,27,32,49,75,83
Insert 13 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}