\left. \begin{array} { l } { 300 } \\ { 760 } \\ { 180 } \\ { 530 } \\ { 860 } \\ { 1860 } \\ { 150 } \\ { 960 } \\ { 514 } \\ { 514 } \\ { 234 } \\ { 169 } \\ { 145 } \\ { 7176 } \end{array} \right.
Sort
145,150,169,180,234,300,514,514,530,760,860,960,1860,7176
Evaluate
300,\ 760,\ 180,\ 530,\ 860,\ 1860,\ 150,\ 960,\ 514,\ 514,\ 234,\ 169,\ 145,\ 7176
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300
To sort the list, start from a single element 300.
300,760
Insert 760 to the appropriate location in the new list.
180,300,760
Insert 180 to the appropriate location in the new list.
180,300,530,760
Insert 530 to the appropriate location in the new list.
180,300,530,760,860
Insert 860 to the appropriate location in the new list.
180,300,530,760,860,1860
Insert 1860 to the appropriate location in the new list.
150,180,300,530,760,860,1860
Insert 150 to the appropriate location in the new list.
150,180,300,530,760,860,960,1860
Insert 960 to the appropriate location in the new list.
150,180,300,514,530,760,860,960,1860
Insert 514 to the appropriate location in the new list.
150,180,300,514,514,530,760,860,960,1860
Insert 514 to the appropriate location in the new list.
150,180,234,300,514,514,530,760,860,960,1860
Insert 234 to the appropriate location in the new list.
150,169,180,234,300,514,514,530,760,860,960,1860
Insert 169 to the appropriate location in the new list.
145,150,169,180,234,300,514,514,530,760,860,960,1860
Insert 145 to the appropriate location in the new list.
145,150,169,180,234,300,514,514,530,760,860,960,1860,7176
Insert 7176 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}