Euclidean space

• Euclidian space

Euclidean space (countable and uncountable, plural Euclidean spaces)

1. Ordinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines.
2. (mathematics) Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined.

• Cartesian space

• Hilbert space
• inner product space
• real vector space