SHMARQL

Bell number

<http://www.wikidata.org/entity/Q816063>

integer sequence counting the possible partitions of a set
rdfs:label
"Bell number"@en
skos:altLabel
"Bell-Zahl"@de
"Bellzahl"@de
"Exponentialzahl"@de
schema:description
"integer sequence counting the possible partitions of a set"@en
schema:dateModified "2026-05-06T20:55:08+00:00"^^xsd:dateTime
schema:version 2488297644
wikibase:identifiers 6
wikibase:sitelinks 29
wikibase:statements 20
p:P138 wd:statement/Q816063-20f599d7-4020-bc83-8723-8b38e57100a4
p:P1568 wd:statement/Q816063-e4624bfa-4a72-838d-0358-77402000298b
p:P1571 wd:statement/Q816063-FF43B76D-4E0F-4C47-A96B-970CC2490289
p:P2534 wd:statement/Q816063-2248e242-4c71-55f9-4238-f02a462abd92
p:P279 wd:statement/Q816063-2ca375e0-4698-dadd-4d01-1f4be77b0eb9
p:P2812 wd:statement/Q816063-0ABB6B79-D417-4347-9FF2-95517DD6EDB6
p:P31 wd:statement/Q816063-c297dc2c-44b0-cb5b-304d-809ac4651347
p:P6104 wd:statement/Q816063-0A08E82B-A8C0-4FCA-8127-D9616C265ED4
p:P6366 wd:statement/Q816063-42A8D560-3A9E-4977-906E-D2263C980596
p:P646 wd:statement/Q816063-3D7B1265-D5A0-4700-916F-2E61EFD52025
p:P7235 wd:statement/Q816063-2bb8cc6a-4998-d8fd-2e26-e2c279280deb
wd:statement/Q816063-3380d3cc-48c4-34c6-785f-82429a55d239
wd:statement/Q816063-54a7a48e-4662-9da0-6b44-8bb9c81d0ec9
wd:statement/Q816063-70baa569-4188-7578-e200-b7baa9f63fa2
wd:statement/Q816063-bd858d01-4352-ef5a-6e0b-42ac3878e213
wd:statement/Q816063-eb5a10d9-4dc2-47f7-fdb7-4cb9f44b0d5d
p:P829 wd:statement/Q816063-5df0ce1b-4845-c3ba-b952-d6846fb5057b
p:P8885 wd:statement/Q816063-f9db051c-46b6-5355-b867-d6e5c5d4d9d0
p:P910 wd:statement/Q816063-1CEC6117-6D6E-4C9A-96DB-B211DB8A6C58
p:P9621 wd:statement/Q816063-E02E0E06-85D0-4687-A47F-BD3C5DE24187
p:direct-normalized/P6366 <https://makg.org/entity/174710074>
wdt:P138 Eric Temple Bell
wdt:P1568 non-negative integer
wdt:P1571 positive integer
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"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mtd><mtd><mo stretchy="false">=</mo><mo stretchy="false">|</mo><mi data-mjx-texclass="OP" mathvariant="normal">part</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mo fence="false" stretchy="false">{</mo><mn>1</mn><mo>,</mo><mo>&#x2026;</mo><mo>,</mo><mi>n</mi><mo fence="false" stretchy="false">}</mo><mo stretchy="false">)</mo><mo stretchy="false">|</mo></mtd></mtr><mtr><mtd></mtd><mtd><mo stretchy="false">=</mo><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><mo stretchy="false">=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mfrac linethickness="0"><mrow><mi>n</mi></mrow><mrow><mi>k</mi></mrow></mfrac><mo data-mjx-texclass="CLOSE">}</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo stretchy="false">=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">&#x2212;</mo><mn>1</mn></mrow></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="OPEN"><mo minsize="2.047em">(</mo></mrow><mfrac linethickness="0"><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></mfrac><mrow data-mjx-texclass="CLOSE"><mo minsize="2.047em">)</mo></mrow></mrow></mstyle></mrow><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 integer sequence
wdt:P2812 "BellNumber"
wdt:P31 mathematical concept
wdt:P6104 WikiProject Mathematics
wdt:P6366 "174710074"
wdt:P646 "/m/01ck8p"
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 data-mjx-texclass="OP" mathvariant="normal">part</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">&#x2212;</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="INNER"><mo data-mjx-texclass="OPEN">{</mo><mfrac linethickness="0"><mrow><mo stretchy="false">&#x2212;</mo></mrow><mrow><mo stretchy="false">&#x2212;</mo></mrow></mfrac><mo data-mjx-texclass="CLOSE">}</mo></mrow></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"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="OPEN"><mo minsize="2.047em">(</mo></mrow><mfrac linethickness="0"><mrow data-mjx-texclass="ORD"><mo stretchy="false">&#x2212;</mo></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">&#x2212;</mo></mrow></mfrac><mrow data-mjx-texclass="CLOSE"><mo minsize="2.047em">)</mo></mrow></mrow></mstyle></mrow></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"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></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"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P829 "A000110"
wdt:P8885 "벨 수"
wdt:P910 wd:Q20715813
wdt:P9621 "numeri-di-bell"
Download as:
TurtleJSON-LDRDF/XML
data from SPARQL profile: Wikidata