\left. \begin{array} { l } { 3255 } \\ { 7343 } \\ { 42 } \\ { 78 } \end{array} \right.
Sort
42,78,3255,7343
Evaluate
3255,\ 7343,\ 42,\ 78
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3255
To sort the list, start from a single element 3255.
3255,7343
Insert 7343 to the appropriate location in the new list.
42,3255,7343
Insert 42 to the appropriate location in the new list.
42,78,3255,7343
Insert 78 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}