\left. \begin{array} { | l | } \hline 12 \\ \hline 56 \\ \hline 34 \\ \hline 78 \\ \hline 180 \\ \hline \\ \hline \end{array} \right.
Sort
0,12,34,56,78,180
Evaluate
12,\ 56,\ 34,\ 78,\ 180,\ 0
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12
To sort the list, start from a single element 12.
12,56
Insert 56 to the appropriate location in the new list.
12,34,56
Insert 34 to the appropriate location in the new list.
12,34,56,78
Insert 78 to the appropriate location in the new list.
12,34,56,78,180
Insert 180 to the appropriate location in the new list.
0,12,34,56,78,180
Insert 0 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}