DLMF:17.2.E27 (Q5317): 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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| (5 intermediate revisions by the same user not shown) | |||
| Property / Symbols defined | |||
| Property / Symbols defined: $$q$$ -binomial coefficient (or Gaussian polynomial) / rank | |||
Normal rank | |||
| Property / Symbols used | |||
| Property / Symbols used: Q10754 / rank | |||
Normal rank | |||
| Property / Symbols used: Q10754 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \binom{\NVar{m}}{\NVar{n}}}\binom{\NVar{m}}{\NVar{n}} | |||
| Property / Symbols used: Q10754 / qualifier | |||
xml-id: C1.S2.SS1.m1ahdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11298 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11298 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}}}\qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}} | |||
| Property / Symbols used: Q11298 / qualifier | |||
xml-id: C17.S2.SS1.p1.m2azdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11710 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11710 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}q | |||
| Property / Symbols used: Q11710 / qualifier | |||
xml-id: C17.S1.XMD10.m1zdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11716 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11716 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}m | |||
| Property / Symbols used: Q11716 / qualifier | |||
xml-id: C17.S1.XMD3.m1dec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11711 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11711 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}n | |||
| Property / Symbols used: Q11711 / qualifier | |||
xml-id: C17.S1.XMD4.m1wdec | |||
Latest revision as of 14:48, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:17.2.E27 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qbinom{n}{m}{q}=\frac{\qPochhammer{q}{q}{n}}{\qPochhammer{q}{q}{m}\qPochhammer{q}{q}{n-m}}\\ =\frac{\qPochhammer{q^{-n}}{q}{m}(-1)^{m}q^{nm-\binom{m}{2}}}{\qPochhammer{q}{q}{m}},}
0 references
DLMF:17.2.E27
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \binom{\NVar{m}}{\NVar{n}}}
C1.S2.SS1.m1ahdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}}}
C17.S2.SS1.p1.m2azdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}
C17.S1.XMD10.m1zdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C17.S1.XMD3.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
C17.S1.XMD4.m1wdec
0 references