isoperimetric inequality
geometric inequality which sets a lower bound on the surface area of a set given its volume
| rdfs:label |
"isoperimetric inequality"@en
|
|
skos:alt |
"isovolume problem"@en
|
| schema:description |
"geometric inequality which sets a lower bound on the surface area of a set given its volume"@en
|
|
schema:date |
"2026-09-07T08:04:18+00:00"^^xsd:dateTime |
| schema:version | 2541581942 |
| wikibase:identifiers | 7 |
| wikibase:sitelinks | 22 |
| wikibase:statements | 15 |
| p:P10283 | wd:statement/Q617417-67C99899-B55E-46BA-92F8-B6662CEDDAB4 |
| p:P10376 | wd:statement/Q617417-c03f60c6-4a70-058b-4fbd-ebb1ed13b4e3 |
| p:P1343 | wd:statement/Q617417-e3e39d79-846b-47f4-8c36-e7d2dc863c23 |
| p:P1417 | wd:statement/Q617417-EF2A972C-182A-488B-B1B7-32491EC42B36 |
| p:P2534 | wd:statement/Q617417-64c8cf8a-4ea1-9993-aa1c-1503781c07c0 |
| p:P2812 | wd:statement/Q617417-F576893C-E35D-43C9-A612-B85342BF8E67 |
| p:P2924 | wd:statement/Q617417-08ae3505-48fd-c097-70fb-5f00613715e8 |
| p:P31 | wd:statement/Q617417-60f5afe7-4d14-e629-980a-7b479b732254 |
| wd:statement/Q617417-6B68CFAB-7CCB-4990-B0A3-F5F595CE2B7E | |
| wd:statement/Q617417-6D5A9BFC-23A2-4529-8979-BF7253DA17D2 | |
| p:P361 | wd:statement/Q617417-BDB1666C-5B6E-43EE-998F-563272661F94 |
| p:P373 | wd:statement/Q617417-5D554F82-00D3-4420-998E-E729BF486C9A |
| p:P6104 | wd:statement/Q617417-FDA8316B-E652-403F-9C6C-A8E5E753095E |
| p:P6366 | wd:statement/Q617417-53E75FFE-8ECD-485B-86B1-D7D17E1DF41F |
| p:P646 | wd:statement/Q617417-13D301EC-497E-4AE1-BF2F-9F37C0A9EE11 |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C140142295" |
| wdt:P10376 | "mathematics/isoperimetric-inequality" |
| wdt:P1343 | Armenian Soviet Encyclopedia, vol. 4 |
| wdt:P1417 | "topic/isoperimetric-problem" |
| 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"><mi data-mjx-texclass="OP" mathvariant="normal">surf</mi><mo>⁡</mo><mo stretchy="false">(</mo><mi>S</mi><mo stretchy="false">)</mo><mo stretchy="false">≥</mo><mi>n</mi><mi data-mjx-texclass="OP" mathvariant="normal">vol</mi><mo>⁡</mo><mo stretchy="false">(</mo><mi>S</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><mn>1</mn><mo lspace="0" rspace="0">/</mo><mi>n</mi></mrow></mrow></msup><mi data-mjx-texclass="OP" mathvariant="normal">vol</mi><mo>⁡</mo><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝔹</mi></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></mfrac></mrow></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P2812 | "IsoperimetricInequality" |
| wdt:P2924 | "2002864" |
| wdt:P31 | inequality |
| compactness measure of a shape | |
| theorem | |
| wdt:P361 | list of theorems |
| wdt:P373 | "Isoperimetric inequality" |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "140142295" |
| wdt:P646 | "/m/01w4y0" |
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