n-sphere
generalization of the ordinary sphere to spaces of arbitrary dimension
| rdfs:label |
"n-sphere"@en
|
|
skos:alt |
"hypersphere"@en
"n-dimensional sphere"@en
|
| schema:description |
"generalization of the ordinary sphere to spaces of arbitrary dimension"@en
|
|
schema:date |
"2026-07-15T10:03:53+00:00"^^xsd:dateTime |
| schema:version | 2517726003 |
| wikibase:identifiers | 10 |
| wikibase:sitelinks | 22 |
| wikibase:statements | 26 |
| p:P10283 | wd:statement/Q306610-6BFA1633-D68A-47EC-B60E-7C089E5EDB4C |
| p:P10376 | wd:statement/Q306610-63c7c938-41a1-f227-ffe1-415ba9c8fe94 |
| p:P12385 | wd:statement/Q306610-b4fd71a1-e310-4d1b-bb75-0ed0a916e6b9 |
| p:P12457 | wd:statement/Q306610-37ADFC59-B312-49BA-8463-FAEF69BBDC65 |
| p:P1296 | wd:statement/Q306610-60EEB1DE-67C4-437E-B288-B565A9DB9A0B |
| p:P13591 | wd:statement/Q306610-C24E7FCF-16FD-4259-992E-96CB1F22841B |
| p:P1552 | wd:statement/Q306610-A996488F-9AF7-43E6-A614-E4034E71B8FB |
| wd:statement/Q306610-d3eb73fc-4920-ff3c-e62e-a81b41b847f2 | |
| wd:statement/Q306610-e16c3228-41d7-5635-8c08-d4fb1c9d4aa4 | |
| p:P1889 | wd:statement/Q306610-5df2aab9-4b16-3918-ad98-852a847fd368 |
| p:P227 | wd:statement/Q306610-240E3438-B567-4C68-B581-0EE911663FFB |
| p:P2534 | wd:statement/Q306610-1818f311-4919-771b-1ef3-017bf70bed12 |
| wd:statement/Q306610-516831b0-48a7-1916-ccb2-94a59730cb91 | |
| p:P279 | wd:statement/Q306610-23f24618-40ad-73d9-b1ba-88a2e0698a91 |
| wd:statement/Q306610-2ace20be-4a82-4b87-8d3a-e5bffde46fe9 | |
| wd:statement/Q306610-8638e10c-4d5d-810c-9d61-0aaaaf724358 | |
| p:P2812 | wd:statement/Q306610-DF9765B6-B1CE-4DD3-A023-B6F4D28F073B |
| p:P373 | wd:statement/q306610-B3B362DE-9C12-4763-B816-ADC99E12A152 |
| p:P4215 | wd:statement/Q306610-54f2efc3-41b6-0ecd-9721-b56d97dbabdb |
| p:P4777 | wd:statement/Q306610-c60447ff-41b4-879d-8a33-e70cb8c870d5 |
| p:P6104 | wd:statement/Q306610-9D326C7A-DF88-4C95-ACAC-F6E49BB5F15C |
| p:P6366 | wd:statement/Q306610-81590654-AD43-4458-AE7A-5A13F2B4E833 |
| p:P646 | wd:statement/Q306610-05154840-748D-43C4-BB08-D169973B3BF5 |
| p:P7235 | wd:statement/Q306610-07496913-7A1F-40AE-9F4B-4488C7814982 |
| wd:statement/Q306610-37020E5C-B42E-4086-99E2-8A1A83B41814 | |
| wd:statement/Q306610-48D27144-FC69-44D5-AA07-92602F05CBD4 | |
|
p:direct- |
<https:/ |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C2776562905" |
| wdt:P10376 | "mathematics/sphere-sn" |
| wdt:P12385 | "hipersfera" |
| wdt:P12457 | orthogonal group |
| wdt:P1296 | "0114498" |
| wdt:P13591 | "activity/cab7a4c1-7972-4ef1-8c33-96e494d0ee67" |
| wdt:P1552 | area |
| radius | |
| volume | |
| wdt:P1889 | hyperball |
| wdt:P227 | "4182221-3" |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">|</mo><mo stretchy="false">|</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>→</mo></mover></mrow></mrow><mo stretchy="false">|</mo><mo stretchy="false">|</mo><mo stretchy="false">=</mo><mi>r</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝕊</mi></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup><mo stretchy="false">=</mo><mo fence="false" stretchy="false">{</mo><mi>x</mi><mo stretchy="false">∈</mo><msup><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msup><mo stretchy="false">:</mo><mo stretchy="false">‖</mo><mi>x</mi><mo stretchy="false">‖</mo><mo stretchy="false">=</mo><mn>1</mn><mo fence="false" stretchy="false">}</mo><mo stretchy="false">=</mo><mi data-mjx-texclass="OP" mathvariant="normal">SO</mi><mo>⁡</mo><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn><mo stretchy="false">)</mo><mo lspace="0" rspace="0">/</mo><mi data-mjx-texclass="OP" mathvariant="normal">SO</mi><mo>⁡</mo><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| wdt:P279 | closed manifold |
| symmetric space | |
| non-convex set | |
| wdt:P2812 | "Hypersphere" |
| wdt:P373 | "Spheres" |
| wdt:P4215 | "sphere" |
| wdt:P4777 | hyperball |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "92119225" |
| wdt:P646 | "/m/09xmb" |
| wdt:P7235 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">|</mo><mo stretchy="false">|</mo><mo stretchy="false">⋅</mo><mo stretchy="false">|</mo><mo stretchy="false">|</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>→</mo></mover></mrow></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
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