n-sphere
generalization of the ordinary sphere to spaces of arbitrary dimension
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n-sphere
Summary
n-sphere ranks in the top 2% of general entities by monthly Wikipedia readership (471 views/month).[1]
Key Facts
- n-sphere's GND ID is recorded as 4182221-3[2].
- n-sphere's subclass of is recorded as symmetric space[3].
- n-sphere's subclass of is recorded as closed manifold[4].
- n-sphere's subclass of is recorded as non-convex set[5].
- n-sphere's Commons category is recorded as Spheres[6].
- n-sphere's Freebase ID is recorded as /m/09xmb[7].
- n-sphere's Gran Enciclopèdia Catalana ID is recorded as 0114498[8].
- n-sphere's has characteristic is recorded as radius[9].
- n-sphere's has characteristic is recorded as area[10].
- n-sphere's has characteristic is recorded as volume[11].
- n-sphere's defining formula is recorded as \mathbb S^n = {x\in\mathbb R^{n+1}\colon |x|=1} = \operatorname{SO}(n+1)/\operatorname{SO}(n)[12].
- n-sphere's defining formula is recorded as ||\vec{x}|| = r[13].
- n-sphere's MathWorld ID is recorded as Hypersphere[14].
- n-sphere's nLab ID is recorded as sphere[15].
- n-sphere's maintained by WikiProject is recorded as WikiProject Mathematics[16].
- n-sphere's Microsoft Academic ID is recorded as 92119225[17].
- n-sphere's in defining formula is recorded as r[18].
- n-sphere's in defining formula is recorded as \vec{x}[19].
- n-sphere's in defining formula is recorded as ||\cdot||[20].
- n-sphere's OpenAlex ID is recorded as C2776562905[21].
- n-sphere's ScienceDirect topic ID is recorded as mathematics/sphere-sn[22].
- n-sphere's Gran Enciclopèdia Catalana ID is recorded as hipersfera[23].
- n-sphere's invariant under is recorded as orthogonal group[24].
- n-sphere's Yale LUX ID is recorded as activity/cab7a4c1-7972-4ef1-8c33-96e494d0ee67[25].
Why It Matters
n-sphere ranks in the top 2% of general entities by monthly Wikipedia readership (471 views/month).[1] n-sphere has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[26] n-sphere is known by 28 alternative names across languages and contexts.[27]