Lebesgue's density theorem
theorem that, the density of a Lebesgue measurable set in Euclidean space is exists and is 0 or 1 almost everywhere
| rdfs:label |
"Lebesgue's density theorem"@en
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skos:alt |
"Lebesgue-féle sűrűségtétel"@hu
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| schema:description |
"theorem that, the density of a Lebesgue measurable set in Euclidean space is exists and is 0 or 1 almost everywhere"@en
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schema:date |
"2026-11-05T16:00:49+00:00"^^xsd:dateTime |
| schema:version | 2565062797 |
| wikibase:identifiers | 2 |
| wikibase:sitelinks | 8 |
| wikibase:statements | 15 |
| p:P138 | wd:statement/Q842953-abdaba17-4054-b515-64d8-d0e823644116 |
| p:P14039 | wd:statement/Q842953-ECD6F342-2010-439C-A497-915F7F2C26E2 |
| p:P18 | wd:statement/Q842953-27d42254-4ba5-870d-c646-bde594ff5030 |
| p:P2534 | wd:statement/Q842953-b5fb6919-47a3-000a-b797-ff4c8b2eb6e2 |
| p:P31 | wd:statement/Q842953-2DFAD17A-A17E-4274-9344-12EAB592D58B |
| p:P361 | wd:statement/Q842953-B602212C-548C-4E26-AF85-63D6327A5D11 |
| p:P6104 | wd:statement/Q842953-E1D8FA20-50A5-4235-9881-8A7EA36CAFA6 |
| p:P6366 | wd:statement/Q842953-C73A9D9D-951F-42EC-B6E4-E544A0330262 |
| p:P646 | wd:statement/Q842953-1C57F5DF-06DD-4C48-B198-C64D913C2A3E |
| p:P7235 | wd:statement/Q842953-17de65da-461a-177c-8cd9-caa2dd0964fc |
| wd:statement/Q842953-30c8d1c0-45ac-44e4-353d-824c41dcc2bd | |
| wd:statement/Q842953-6532108d-4267-d688-4b6b-fe34df5b9215 | |
| wd:statement/Q842953-9196e64a-4115-5622-0e45-3f57591b0cb9 | |
| wd:statement/Q842953-dfe1456a-4dcb-adc4-4e86-1bf18cb9c241 | |
| wd:statement/Q842953-f11fdc99-4ad4-ee9a-4ae0-94560d810b9c | |
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p:direct- |
<https:/ |
| wdt:P138 | Henri Lebesgue |
| wdt:P14039 | Lebesgue differentiation theorem |
| wdt:P18 |
<http:/ |
| wdt:P2534 | "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><munder><mo form="prefix">lim</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mo stretchy="false" accent="false">→</mo><mn>0</mn></mrow></mrow></munder><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mo stretchy="false">(</mo><mi>A</mi><mo stretchy="false">∩</mo><msub><mo data-mjx-texclass="OP" mathvariant="normal">ball</mo><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mo stretchy="false">(</mo><msub><mo data-mjx-texclass="OP" mathvariant="normal">ball</mo><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mo stretchy="false">∈</mo><mo fence="false" stretchy="false">{</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo fence="false" stretchy="false">}</mo><mspace width="1em"></mspace><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">a</mi><mo mathvariant="normal" stretchy="false">.</mo><mi mathvariant="normal">e</mi><mo mathvariant="normal" stretchy="false">.</mo></mrow></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P31 | theorem |
| wdt:P361 | list of theorems |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "2776367690" |
| wdt:P646 | "/m/0bsr_w" |
| wdt:P7235 | "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo data-mjx-texclass="OP" mathvariant="normal">ball</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">∩</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">a</mi><mo mathvariant="normal" stretchy="false">.</mo><mi mathvariant="normal">e</mi><mo mathvariant="normal" stretchy="false">.</mo></mrow></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
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