\left. \begin{array} { l } { 300,000 } \\ { 220,000 } \\ { 20,000 } \\ { 42.000 } \\ { 20.000 } \\ { 120.000 } \\ { 200.000 } \\ { 121.800 } \\ { 36.000 } \\ { 334.097 } \\ { 322.362 } \end{array} \right.
Sort
0,0,0,20,20,36,42,120,121.8,200,220,300,322.362,334.097
Evaluate
300,\ 0,\ 220,\ 0,\ 20,\ 0,\ 42,\ 20,\ 120,\ 200,\ 121.8,\ 36,\ 334.097,\ 322.362
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300
To sort the list, start from a single element 300.
0,300
Insert 0 to the appropriate location in the new list.
0,220,300
Insert 220 to the appropriate location in the new list.
0,0,220,300
Insert 0 to the appropriate location in the new list.
0,0,20,220,300
Insert 20 to the appropriate location in the new list.
0,0,0,20,220,300
Insert 0 to the appropriate location in the new list.
0,0,0,20,42,220,300
Insert 42 to the appropriate location in the new list.
0,0,0,20,20,42,220,300
Insert 20 to the appropriate location in the new list.
0,0,0,20,20,42,120,220,300
Insert 120 to the appropriate location in the new list.
0,0,0,20,20,42,120,200,220,300
Insert 200 to the appropriate location in the new list.
0,0,0,20,20,42,120,121.8,200,220,300
Insert 121.8 to the appropriate location in the new list.
0,0,0,20,20,36,42,120,121.8,200,220,300
Insert 36 to the appropriate location in the new list.
0,0,0,20,20,36,42,120,121.8,200,220,300,334.097
Insert 334.097 to the appropriate location in the new list.
0,0,0,20,20,36,42,120,121.8,200,220,300,322.362,334.097
Insert 322.362 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}