| rdfs:label |
"Hausdorff measure"@en
|
|
skos:alt |
"Hausdorffmaß"@de
|
| schema:description |
"fractal measurement"@en
|
|
schema:date |
"2026-09-07T08:04:44+00:00"^^xsd:dateTime |
| schema:version | 2541582203 |
| wikibase:identifiers | 7 |
| wikibase:sitelinks | 14 |
| wikibase:statements | 12 |
| p:P10283 | wd:statement/Q1591095-3728DB66-C877-4E6D-873B-DF8A57D6A528 |
| p:P13591 | wd:statement/Q1591095-3B062A89-5146-432E-B394-694C84789130 |
| p:P138 | wd:statement/Q1591095-5205cd41-442b-ba80-52c2-447a85bcd3ff |
| p:P244 | wd:statement/Q1591095-1fd3e40d-4f2e-f61b-c85b-2756e49fd134 |
| p:P2534 | wd:statement/Q1591095-3356abac-4aea-6a74-513d-214e2aca87d8 |
| p:P279 | wd:statement/Q1591095-331d507f-47a0-a8b3-05b6-66aebff7f472 |
| p:P349 | wd:statement/Q1591095-793740a0-48b0-fd2d-d259-dadcb3a90114 |
| p:P366 | wd:statement/Q1591095-50f68a32-4132-17a2-89e8-0b9dc4371241 |
| p:P6104 | wd:statement/Q1591095-EA2A12ED-209D-44EA-B161-94A5F645B495 |
| p:P6366 | wd:statement/Q1591095-1A4C7ACA-AD93-4B2A-86E0-710053036101 |
| p:P646 | wd:statement/Q1591095-4663E791-7C60-4D76-AA8B-5E6B55FE4737 |
| p:P8189 | wd:statement/Q1591095-9C519467-B48A-4F05-9F16-7546D4EC67CD |
|
p:direct- |
<http:/ |
|
p:direct- |
<http:/ |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C73225184" |
| wdt:P13591 | "concept/fd444c10-e545-4737-a1ed-e54b9fa536ad" |
| wdt:P138 | wd:Q75856 |
| wdt:P244 | "sh85059319" |
| 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"><msup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℋ</mi></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msup><mo stretchy="false">(</mo><mi>A</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munder><mi form="prefix">lim</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ε</mi><mo stretchy="false" accent="false">→</mo><mn>0</mn></mrow></mrow></munder><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℋ</mi></mrow><mrow data-mjx-texclass="ORD"><mi>ε</mi></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msubsup><mo stretchy="false">(</mo><mi>A</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munder><mi form="prefix">lim</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ε</mi><mo stretchy="false" accent="false">→</mo><mn>0</mn></mrow></mrow></munder><mi>inf</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><mi>α</mi><mo stretchy="false">(</mo><mi>m</mi><mo stretchy="false">)</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi data-mjx-texclass="OP" mathvariant="normal">diam</mi><mo>⁡</mo><mo stretchy="false">(</mo><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msup><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mi>A</mi><mo stretchy="false">⊂</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">⋃</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>;</mo><mspace width="0.278em"></mspace><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">⊂</mo><msup><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup><mo>;</mo><mspace width="0.278em"></mspace><mi data-mjx-texclass="OP" mathvariant="normal">diam</mi><mo>⁡</mo><mo stretchy="false">(</mo><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo><mo><</mo><mi>ε</mi><mo data-mjx-texclass="CLOSE">}</mo></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | wd:Q192276 |
| wdt:P349 | "00563038" |
| wdt:P366 | wd:Q565186 |
| wdt:P6104 | wd:Q8487137 |
| wdt:P6366 | "73225184" |
| wdt:P646 | "/m/043tvjm" |
| wdt:P8189 | "987007550619505171" |
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