\left. \begin{array} { c } { 1,70,000 } \\ { 157000 } \\ { 10000 } \\ { 14000 } \\ { 10000 } \\ { 7500 } \end{array} \right.
Sort
0,1,70,7500,10000,10000,14000,157000
Evaluate
1,\ 70,\ 0,\ 157000,\ 10000,\ 14000,\ 10000,\ 7500
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1
To sort the list, start from a single element 1.
1,70
Insert 70 to the appropriate location in the new list.
0,1,70
Insert 0 to the appropriate location in the new list.
0,1,70,157000
Insert 157000 to the appropriate location in the new list.
0,1,70,10000,157000
Insert 10000 to the appropriate location in the new list.
0,1,70,10000,14000,157000
Insert 14000 to the appropriate location in the new list.
0,1,70,10000,10000,14000,157000
Insert 10000 to the appropriate location in the new list.
0,1,70,7500,10000,10000,14000,157000
Insert 7500 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}