DLMF:19.8.E4 (Q6210): 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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(7 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: Q11826 / rank | |||
Normal rank | |||
Property / Symbols used: Q11826 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AGM@{\NVar{a}}{\NVar{g}}}\AGM@{\NVar{a}}{\NVar{g}} | |||
Property / Symbols used: Q11826 / qualifier | |||
xml-id: C19.S8.SS1.p1.m7adec | |||
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.m2adec | |||
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.m2adec | |||
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.m1adec | |||
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.m3adec | |||
Property / Symbols used | |||
Property / Symbols used: sine function / rank | |||
Normal rank | |||
Property / Symbols used: sine function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}\sin@@{\NVar{z}} | |||
Property / Symbols used: sine function / qualifier | |||
xml-id: C4.S14.E1.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: Q11824 / rank | |||
Normal rank | |||
Property / Symbols used: Q11824 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a_{n}}a_{n} | |||
Property / Symbols used: Q11824 / qualifier | |||
xml-id: C19.S8.XMD1.m1cdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11825 / rank | |||
Normal rank | |||
Property / Symbols used: Q11825 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle g_{n}}g_{n} | |||
Property / Symbols used: Q11825 / qualifier | |||
xml-id: C19.S8.XMD2.m1cdec |
Latest revision as of 13:42, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:19.8.E4 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{1}{\AGM@{a_{0}}{g_{0}}}=\frac{2}{\pi}\int_{0}^{\pi/2}\frac{\diff{\theta}}{\sqrt{a_{0}^{2}\cos^{2}@@{\theta}+g_{0}^{2}\sin^{2}@@{\theta}}}=\frac{1}{\pi}\int_{0}^{\infty}\frac{\diff{t}}{\sqrt{t(t+a_{0}^{2})(t+g_{0}^{2})}}.}
0 references
DLMF:19.8.E4
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AGM@{\NVar{a}}{\NVar{g}}}
C19.S8.SS1.p1.m7adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}
C4.S14.E2.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}
C1.S4.SS4.m1adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}
C1.S4.SS4.m3adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}
C4.S14.E1.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a_{n}}
C19.S8.XMD1.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle g_{n}}
C19.S8.XMD2.m1cdec
0 references