DLMF:28.28.E21 (Q8447): 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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(13 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: Q12283 / rank | |||
Normal rank | |||
Property / Symbols used: Q12283 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Mathieuce{\NVar{n}}@{\NVar{z}}{\NVar{q}}}\Mathieuce{\NVar{n}}@{\NVar{z}}{\NVar{q}} | |||
Property / Symbols used: Q12283 / qualifier | |||
xml-id: C28.S2.SS6.p1.m7afdec | |||
Property / Symbols used | |||
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank | |||
Normal rank | |||
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}\cpi | |||
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier | |||
xml-id: C3.S12.E1.m2aqdec | |||
Property / Symbols used | |||
Property / Symbols used: cosine function / rank | |||
Normal rank | |||
Property / Symbols used: cosine function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}\cos@@{\NVar{z}} | |||
Property / Symbols used: cosine function / qualifier | |||
xml-id: C4.S14.E2.m2aedec | |||
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.m1aodec | |||
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.m3aodec | |||
Property / Symbols used | |||
Property / Symbols used: radial Mathieu function / rank | |||
Normal rank | |||
Property / Symbols used: radial Mathieu function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radMathieuMc{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{h}}}\radMathieuMc{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{h}} | |||
Property / Symbols used: radial Mathieu function / qualifier | |||
xml-id: C28.S20.E15.m2aedec | |||
Property / Symbols used | |||
Property / Symbols used: Q12284 / rank | |||
Normal rank | |||
Property / Symbols used: Q12284 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}m | |||
Property / Symbols used: Q12284 / qualifier | |||
xml-id: C28.S1.XMD1.m1cdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12294 / rank | |||
Normal rank | |||
Property / Symbols used: Q12294 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle h}h | |||
Property / Symbols used: Q12294 / qualifier | |||
xml-id: C28.S1.XMD11.m1pdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12291 / rank | |||
Normal rank | |||
Property / Symbols used: Q12291 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j}j | |||
Property / Symbols used: Q12291 / qualifier | |||
xml-id: C28.S1.XMD3.m1edec | |||
Property / Symbols used | |||
Property / Symbols used: Q12272 / rank | |||
Normal rank | |||
Property / Symbols used: Q12272 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
Property / Symbols used: Q12272 / qualifier | |||
xml-id: C28.S1.XMD6.m1qdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12304 / rank | |||
Normal rank | |||
Property / Symbols used: Q12304 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathcal{C}_{\mu}^{(j)}}\mathcal{C}_{\mu}^{(j)} | |||
Property / Symbols used: Q12304 / qualifier | |||
xml-id: C28.S23.XMD1.m1bdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12314 / rank | |||
Normal rank | |||
Property / Symbols used: Q12314 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(z,t)}\phi(z,t) | |||
Property / Symbols used: Q12314 / qualifier | |||
xml-id: C28.S28.XMD4.m1cdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12315 / rank | |||
Normal rank | |||
Property / Symbols used: Q12315 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle R(z,t)}R(z,t) | |||
Property / Symbols used: Q12315 / qualifier | |||
xml-id: C28.S28.XMD5.m1cdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12287 / rank | |||
Normal rank | |||
Property / Symbols used: Q12287 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{m}(q)}A_{m}(q) | |||
Property / Symbols used: Q12287 / qualifier | |||
xml-id: C28.S4.XMD1.m1bdec |
Latest revision as of 15:23, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:28.28.E21 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \dfrac{4}{\pi}\int_{0}^{\pi/2}\mathcal{C}^{(j)}_{2\ell+1}(2hR)\cos@{(2\ell+1)\phi}\Mathieuce{2m+1}@{t}{h^{2}}\diff{t}=(-1)^{\ell+m}A^{2m+1}_{2\ell+1}(h^{2})\radMathieuMc{j}{2m+1}@{z}{h},}
0 references
DLMF:28.28.E21
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Mathieuce{\NVar{n}}@{\NVar{z}}{\NVar{q}}}
C28.S2.SS6.p1.m7afdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2aqdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}
C4.S14.E2.m2aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}
C1.S4.SS4.m1aodec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}
C1.S4.SS4.m3aodec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radMathieuMc{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{h}}}
C28.S20.E15.m2aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C28.S1.XMD1.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle h}
C28.S1.XMD11.m1pdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j}
C28.S1.XMD3.m1edec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C28.S1.XMD6.m1qdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathcal{C}_{\mu}^{(j)}}
C28.S23.XMD1.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(z,t)}
C28.S28.XMD4.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle R(z,t)}
C28.S28.XMD5.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{m}(q)}
C28.S4.XMD1.m1bdec
0 references