DLMF:28.23.E5 (Q8389): 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: Q12299 / rank | |||
Normal rank | |||
Property / Symbols used: Q12299 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Mathieume{\NVar{n}}@{\NVar{z}}{\NVar{q}}}\Mathieume{\NVar{n}}@{\NVar{z}}{\NVar{q}} | |||
Property / Symbols used: Q12299 / qualifier | |||
xml-id: C28.S12.SS2.p2.m2acdec | |||
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.m2aadec | |||
Property / Symbols used | |||
Property / Symbols used: base of natural logarithm / rank | |||
Normal rank | |||
Property / Symbols used: base of natural logarithm / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}\expe | |||
Property / Symbols used: base of natural logarithm / qualifier | |||
xml-id: C4.S2.E11.m2aadec | |||
Property / Symbols used | |||
Property / Symbols used: hyperbolic cotangent function / rank | |||
Normal rank | |||
Property / Symbols used: hyperbolic cotangent function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \coth@@{\NVar{z}}}\coth@@{\NVar{z}} | |||
Property / Symbols used: hyperbolic cotangent function / qualifier | |||
xml-id: C4.S28.E7.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: hyperbolic sine function / rank | |||
Normal rank | |||
Property / Symbols used: hyperbolic sine function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@@{\NVar{z}}}\sinh@@{\NVar{z}} | |||
Property / Symbols used: hyperbolic sine function / qualifier | |||
xml-id: C4.S28.E1.m2aadec | |||
Property / Symbols used | |||
Property / Symbols used: imaginary unit / rank | |||
Normal rank | |||
Property / Symbols used: imaginary unit / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}\iunit | |||
Property / Symbols used: imaginary unit / qualifier | |||
xml-id: C1.S9.E1.m2abdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12301 / rank | |||
Normal rank | |||
Property / Symbols used: Q12301 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modMathieuM{\NVar{j}}{\NVar{\nu}}@{\NVar{z}}{\NVar{h}}}\modMathieuM{\NVar{j}}{\NVar{\nu}}@{\NVar{z}}{\NVar{h}} | |||
Property / Symbols used: Q12301 / qualifier | |||
xml-id: C28.S20.SS3.p1.m4acdec | |||
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.m1cdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12279 / rank | |||
Normal rank | |||
Property / Symbols used: Q12279 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}n | |||
Property / Symbols used: Q12279 / qualifier | |||
xml-id: C28.S1.XMD2.m1cdec | |||
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.m1ddec | |||
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.m1cdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12278 / rank | |||
Normal rank | |||
Property / Symbols used: Q12278 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}\nu | |||
Property / Symbols used: Q12278 / qualifier | |||
xml-id: C28.S1.XMD7.m1cdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12300 / rank | |||
Normal rank | |||
Property / Symbols used: Q12300 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c_{2m}(q)}c_{2m}(q) | |||
Property / Symbols used: Q12300 / qualifier | |||
xml-id: C28.S14.XMD1.m1cdec | |||
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.m1ddec |
Latest revision as of 15:07, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:28.23.E5 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Mathieume{\nu}'@{\tfrac{1}{2}\pi}{h^{2}}\modMathieuM{j}{\nu}@{z}{h}=\iunit e^{\iunit\nu\ifrac{\pi}{2}}\coth@@{z}\sum_{n=-\infty}^{\infty}(\nu+2n)c_{2n}^{\nu}(h^{2}){\cal C}_{\nu+2n}^{(j)}(2h\sinh@@{z}),}
0 references
DLMF:28.23.E5
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Mathieume{\NVar{n}}@{\NVar{z}}{\NVar{q}}}
C28.S12.SS2.p2.m2acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \coth@@{\NVar{z}}}
C4.S28.E7.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@@{\NVar{z}}}
C4.S28.E1.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modMathieuM{\NVar{j}}{\NVar{\nu}}@{\NVar{z}}{\NVar{h}}}
C28.S20.SS3.p1.m4acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle h}
C28.S1.XMD11.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
C28.S1.XMD2.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j}
C28.S1.XMD3.m1ddec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C28.S1.XMD6.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
C28.S1.XMD7.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c_{2m}(q)}
C28.S14.XMD1.m1cdec
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.m1ddec
0 references