# Dictionary:Euclidian space

An orthogonal linear space where the distance between ${\displaystyle (x_{1},x_{2},\ldots ,x_{n})}$ and ${\displaystyle (y_{1},y_{2},\ldots ,y_{n})}$ is given by
${\displaystyle \left[\sum _{i=1}^{n}\left(x_{i}-y_{i}\right)^{2}\right]^{\frac {1}{2}}}$.