n-sphere

generalization of the ordinary sphere to spaces of arbitrary dimension

Wikidata entity: Q306610

Wikimedia Commons category is Spheres

P373	Commons category	String	Spheres	???
P2534	defining formula	Math	$\| \| \vec{x} \| \| = r$	???
P2534	defining formula	Math	$𝕊^{n} = {x \in ℝ^{n + 1} : ‖ x ‖ = 1} = SO (n + 1) / SO (n)$	???
P1552	has characteristic	...	Q11500 (area)	area
P1552	has characteristic	...	Q39297 (volume)	volume
P1552	has characteristic	...	Q173817 (radius)	radius
P7235	in defining formula	Math	$r$	???
P7235	in defining formula	Math	$\vec{x}$	???
P7235	in defining formula	Math	$\| \| \cdot \| \|$	???
P12457	invariant under	...	Q1783179 (orthogonal group)	orthogonal group
P6104	maintained by WikiProject	...	Q8487137 (WikiProject Mathematics)	WikiProject Mathematics
P279	subclass of	...	Q3058244 (symmetric space)	symmetric space
P279	subclass of	...	Q91483756 (non-convex set)	non-convex set
P279	subclass of	...	Q1517914 (closed manifold)	closed manifold

External Ids

P646	Freebase ID	/m/09xmb
P227	GND ID	4182221-3
P12385	Gran Enciclopèdia Catalana ID	hipersfera
P1296	Gran Enciclopèdia Catalana ID (former scheme)	0114498
P2812	MathWorld ID	Hypersphere
P6366	Microsoft Academic ID (discontinued)	92119225
P4215	nLab ID	sphere
P10283	OpenAlex ID	C2776562905
P10376	ScienceDirect topic ID	mathematics/sphere-sn
P13591	Yale LUX ID	activity/cab7a4c1-7972-4ef1-8c33-96e494d0ee67

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