DLMF:18.23.E3 (Q5904): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(3 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: Q11750 / rank | |||
Normal rank | |||
Property / Symbols used: Q11750 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
Property / Symbols used: Q11750 / qualifier | |||
xml-id: C18.S1.XMD2.m1bdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11726 / rank | |||
Normal rank | |||
Property / Symbols used: Q11726 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}n | |||
Property / Symbols used: Q11726 / qualifier | |||
xml-id: C18.S1.XMD6.m1bdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11736 / rank | |||
Normal rank | |||
Property / Symbols used: Q11736 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle N}N | |||
Property / Symbols used: Q11736 / qualifier | |||
xml-id: C18.S1.XMD7.m1bdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11727 / rank | |||
Normal rank | |||
Property / Symbols used: Q11727 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}x | |||
Property / Symbols used: Q11727 / qualifier | |||
xml-id: C18.S2.XMD3.m1bdec |
Latest revision as of 01:39, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:18.23.E3 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \left(1-\frac{1-p}{p}z\right)^{x}(1+z)^{N-x}=\sum_{n=0}^{N}\binom{N}{n}\KrawtchoukpolyK{n}@{x}{p}{N}z^{n},}
0 references
DLMF:18.23.E3
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x=0,1,\dots,N}
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KrawtchoukpolyK{\NVar{n}}@{\NVar{x}}{\NVar{p}}{\NVar{N}}}
C18.S19.T1.t1.r3.p1.m2adec
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.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C18.S1.XMD2.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
C18.S1.XMD6.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle N}
C18.S1.XMD7.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
C18.S2.XMD3.m1bdec
0 references