\left. \begin{array} { l } { 1.00 } \\ { 150 } \\ { 2.50 } \\ { 300 } \\ { 200 } \\ { 450 } \\ { 300 } \end{array} \right.
Sort
1,2.5,150,200,300,300,450
Evaluate
1,\ 150,\ 2.5,\ 300,\ 200,\ 450,\ 300
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1
To sort the list, start from a single element 1.
1,150
Insert 150 to the appropriate location in the new list.
1,2.5,150
Insert 2.5 to the appropriate location in the new list.
1,2.5,150,300
Insert 300 to the appropriate location in the new list.
1,2.5,150,200,300
Insert 200 to the appropriate location in the new list.
1,2.5,150,200,300,450
Insert 450 to the appropriate location in the new list.
1,2.5,150,200,300,300,450
Insert 300 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}