DLMF:28.28.E8 (Q8432): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(15 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.m2aadec | |||
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.m2afdec | |||
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.m1aedec | |||
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.m2aedec | |||
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.m2afdec | |||
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.m3aedec | |||
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.m4aadec | |||
Property / Symbols used | |||
Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / rank | |||
Normal rank | |||
Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pderiv{\NVar{f}}{\NVar{x}}}\pderiv{\NVar{f}}{\NVar{x}} | |||
Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / qualifier | |||
xml-id: C1.S5.E3.m4abdec | |||
Property / Symbols used | |||
Property / Symbols used: partial differential of $$x$$ / rank | |||
Normal rank | |||
Property / Symbols used: partial differential of $$x$$ / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pdiff{\NVar{x}}}\pdiff{\NVar{x}} | |||
Property / Symbols used: partial differential of $$x$$ / qualifier | |||
xml-id: C1.S5.E3.m2abdec | |||
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.m1edec | |||
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.m1bdec | |||
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.m1fdec | |||
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.m1adec | |||
Property / Symbols used | |||
Property / Symbols used: Q12274 / rank | |||
Normal rank | |||
Property / Symbols used: Q12274 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w(z)}w(z) | |||
Property / Symbols used: Q12274 / qualifier | |||
xml-id: C28.S2.XMD1.m1fdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12311 / rank | |||
Normal rank | |||
Property / Symbols used: Q12311 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \alpha}\alpha | |||
Property / Symbols used: Q12311 / qualifier | |||
xml-id: C28.S28.XMD1.m1fdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12312 / rank | |||
Normal rank | |||
Property / Symbols used: Q12312 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathcal{L}_{j}}\mathcal{L}_{j} | |||
Property / Symbols used: Q12312 / qualifier | |||
xml-id: C28.S28.XMD2.m1bdec |
Latest revision as of 15:19, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:28.28.E8 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \dfrac{1}{\pi}\int_{\mathcal{L}_{j}}2\iunit h\pderiv{w}{\alpha}e^{2\iunit hw}\Mathieume{\nu}@{t}{h^{2}}\diff{t}=e^{\iunit\nu\pi/{2}}\Mathieume{\nu}'@{\alpha}{h^{2}}\modMathieuM{j}{\nu}@{z}{h},}
0 references
DLMF:28.28.E8
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j=3,4}
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.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2afdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}
C1.S4.SS4.m1aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2afdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}
C1.S4.SS4.m3aedec
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.m4aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pderiv{\NVar{f}}{\NVar{x}}}
C1.S5.E3.m4abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pdiff{\NVar{x}}}
C1.S5.E3.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle h}
C28.S1.XMD11.m1edec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j}
C28.S1.XMD3.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C28.S1.XMD6.m1fdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
C28.S1.XMD7.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w(z)}
C28.S2.XMD1.m1fdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \alpha}
C28.S28.XMD1.m1fdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathcal{L}_{j}}
C28.S28.XMD2.m1bdec
0 references