Euclidean space
generalization of Euclidean geometry to higher-dimensional vector spaces
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Euclidean space
Summary
Euclidean space has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[1]
Key Facts
- Euclid is named after Euclidean space[2].
- space is named after Euclidean space[3].
- Euclidean space is a type of geometric structure[4].
- Euclidean space is the opposite of curved space[5].
- Euclidean space's different from is recorded as Euclidean geometry[6].
- Euclidean space's different from is recorded as Euclidean three-dimensional space[7].
- Euclidean space's studied by is recorded as mathematics[8].
- Euclidean space's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[9].
- Euclidean space's maintained by WikiProject is recorded as WikiProject Mathematics[10].
- Euclidean space's Euler characteristic is recorded as {'amount': '+1'}[11].
- Euclidean space's underlying structure is recorded as Hilbert space[12].
- Euclidean space's underlying structure is recorded as analytic manifold[13].
- Euclidean space's underlying structure is recorded as real vector space[14].
- Euclidean space's underlying structure is recorded as finite dimension vector space[15].
- Euclidean space's underlying structure is recorded as Riemannian manifold[16].
- Euclidean space's underlying structure is recorded as Lie group[17].
Body
Definition and Type
Euclidean space is a type of geometric structure[4]. It is the opposite of curved space[5].
Origins
Things named after include Euclid[2], a mathematician[18], -0333–-0285[19], of Classical Athens[20], specialised in geometry[21] and space[3], a mathematical terminology[22].
Why It Matters
Euclidean space has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[1] It is known by 10 alternative names across languages and contexts.[23]