DLMF:5.14.E4 (Q2166): Difference between revisions
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Created a new Item: Wikidata Toolkit example test item creation |
Changed an Item: Add constraint |
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(9 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: gamma function / rank | |||
Normal rank | |||
Property / Symbols used: gamma function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}\EulerGamma@{\NVar{z}} | |||
Property / Symbols used: gamma function / qualifier | |||
xml-id: C5.S2.E1.m2abdec | |||
Property / Symbols used | |||
Property / Symbols used: Q10815 / rank | |||
Normal rank | |||
Property / Symbols used: Q10815 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle [\NVar{a},\NVar{b}]}[\NVar{a},\NVar{b}] | |||
Property / Symbols used: Q10815 / qualifier | |||
xml-id: introduction.Sx4.p1.t1.r30.m6adec | |||
Property / Symbols used | |||
Property / Symbols used: Q10770 / rank | |||
Normal rank | |||
Property / Symbols used: Q10770 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}\diff{\NVar{x}} | |||
Property / Symbols used: Q10770 / qualifier | |||
xml-id: C1.S4.SS4.m1abdec | |||
Property / Symbols used | |||
Property / Symbols used: Q10771 / rank | |||
Normal rank | |||
Property / Symbols used: Q10771 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}\int | |||
Property / Symbols used: Q10771 / qualifier | |||
xml-id: C1.S4.SS4.m3abdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11276 / rank | |||
Normal rank | |||
Property / Symbols used: Q11276 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}m | |||
Property / Symbols used: Q11276 / qualifier | |||
xml-id: C5.S1.XMD2.m1dec | |||
Property / Symbols used | |||
Property / Symbols used: Q11274 / rank | |||
Normal rank | |||
Property / Symbols used: Q11274 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}n | |||
Property / Symbols used: Q11274 / qualifier | |||
xml-id: C5.S1.XMD3.m1cdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11279 / rank | |||
Normal rank | |||
Property / Symbols used: Q11279 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}k | |||
Property / Symbols used: Q11279 / qualifier | |||
xml-id: C5.S1.XMD4.m1bdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11275 / rank | |||
Normal rank | |||
Property / Symbols used: Q11275 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}a | |||
Property / Symbols used: Q11275 / qualifier | |||
xml-id: C5.S1.XMD8.m1dec | |||
Property / Symbols used | |||
Property / Symbols used: Q11283 / rank | |||
Normal rank | |||
Property / Symbols used: Q11283 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b}b | |||
Property / Symbols used: Q11283 / qualifier | |||
xml-id: C5.S1.XMD9.m1dec | |||
Property / Symbols used | |||
Property / Symbols used: product (locally) / rank | |||
Normal rank | |||
Property / Symbols used: product (locally) / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Delta}\Delta | |||
Property / Symbols used: product (locally) / qualifier | |||
xml-id: C5.S14.XMD2.m1adec |
Latest revision as of 01:06, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:5.14.E4 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{[0,1]^{n}}t_{1}t_{2}\cdots t_{m}|\Delta(t_{1},\dots,t_{n})|^{2c}\prod_{k=1}^{n}t_{k}^{a-1}(1-t_{k})^{b-1}\diff{t_{k}}=\frac{1}{(\EulerGamma@{1+c})^{n}}\prod_{k=1}^{m}\frac{a+(n-k)c}{a+b+(2n-k-1)c}\*\prod_{k=1}^{n}\frac{\EulerGamma@{a+(n-k)c}\EulerGamma@{b+(n-k)c}\EulerGamma@{1+kc}}{\EulerGamma@{a+b+(2n-k-1)c}},}
0 references
DLMF:5.14.E4
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle [\NVar{a},\NVar{b}]}
introduction.Sx4.p1.t1.r30.m6adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}
C1.S4.SS4.m1abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}
C1.S4.SS4.m3abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C5.S1.XMD2.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
C5.S1.XMD3.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
C5.S1.XMD4.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
C5.S1.XMD8.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b}
C5.S1.XMD9.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Delta}
C5.S14.XMD2.m1adec
0 references