\left. \begin{array} { l } { 3194 } \\ { 4524 } \\ { 1917 } \\ { 2316 } \\ { 2516 } \\ { 2617 } \\ { 2497 } \end{array} \right.
Sort
1917,2316,2497,2516,2617,3194,4524
Evaluate
3194,\ 4524,\ 1917,\ 2316,\ 2516,\ 2617,\ 2497
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3194
To sort the list, start from a single element 3194.
3194,4524
Insert 4524 to the appropriate location in the new list.
1917,3194,4524
Insert 1917 to the appropriate location in the new list.
1917,2316,3194,4524
Insert 2316 to the appropriate location in the new list.
1917,2316,2516,3194,4524
Insert 2516 to the appropriate location in the new list.
1917,2316,2516,2617,3194,4524
Insert 2617 to the appropriate location in the new list.
1917,2316,2497,2516,2617,3194,4524
Insert 2497 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}