\left. \begin{array} { r } { 2316 } \\ { 120 } \\ { 75 } \\ { 1110 } \\ { 2130 } \\ { 19550 } \end{array} \right.
Sort
75,120,1110,2130,2316,19550
Evaluate
2316,\ 120,\ 75,\ 1110,\ 2130,\ 19550
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2316
To sort the list, start from a single element 2316.
120,2316
Insert 120 to the appropriate location in the new list.
75,120,2316
Insert 75 to the appropriate location in the new list.
75,120,1110,2316
Insert 1110 to the appropriate location in the new list.
75,120,1110,2130,2316
Insert 2130 to the appropriate location in the new list.
75,120,1110,2130,2316,19550
Insert 19550 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}