\left. \begin{array} { c } { 241 } \\ { 101 } \\ { 185 } \\ { 420 } \\ { 55 } \\ { 83 } \\ { 154 } \\ { 67 } \end{array} \right.
Sort
55,67,83,101,154,185,241,420
Evaluate
241,\ 101,\ 185,\ 420,\ 55,\ 83,\ 154,\ 67
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241
To sort the list, start from a single element 241.
101,241
Insert 101 to the appropriate location in the new list.
101,185,241
Insert 185 to the appropriate location in the new list.
101,185,241,420
Insert 420 to the appropriate location in the new list.
55,101,185,241,420
Insert 55 to the appropriate location in the new list.
55,83,101,185,241,420
Insert 83 to the appropriate location in the new list.
55,83,101,154,185,241,420
Insert 154 to the appropriate location in the new list.
55,67,83,101,154,185,241,420
Insert 67 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}