DLMF:8.11.E5 (Q2576): 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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(11 intermediate revisions by the same user not shown) | |||
Property / constraint | |||
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase@@{a}|\leq\pi-\delta}|\phase@@{a}|\leq\pi-\delta | |||
Property / constraint: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase@@{a}|\leq\pi-\delta} / rank | |||
Normal rank | |||
Property / constraint | |||
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a\to\infty}a\to\infty | |||
Property / constraint: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a\to\infty} / rank | |||
Normal rank | |||
Property / constraint | |||
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\operatorname{ph}a|\leq\pi-\delta}|\operatorname{ph}a|\leq\pi-\delta | |||
Property / constraint: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\operatorname{ph}a|\leq\pi-\delta} / rank | |||
Normal rank | |||
Property / Symbols used | |||
Property / Symbols used: gamma function / rank | |||
Normal rank | |||
Property / Symbols used: gamma function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}\EulerGamma@{\NVar{z}} | |||
Property / Symbols used: gamma function / qualifier | |||
xml-id: C5.S2.E1.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: asymptotic equality / rank | |||
Normal rank | |||
Property / Symbols used: asymptotic equality / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympeq}\asympeq | |||
Property / Symbols used: asymptotic equality / qualifier | |||
xml-id: C2.S1.E1.m2adec | |||
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.m2abdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11325 / rank | |||
Normal rank | |||
Property / Symbols used: Q11325 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \normincGammaP@{\NVar{a}}{\NVar{z}}}\normincGammaP@{\NVar{a}}{\NVar{z}} | |||
Property / Symbols used: Q11325 / qualifier | |||
xml-id: C8.S2.E4.m1adec | |||
Property / Symbols used | |||
Property / Symbols used: Q10817 / rank | |||
Normal rank | |||
Property / Symbols used: Q10817 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase}\phase | |||
Property / Symbols used: Q10817 / qualifier | |||
xml-id: C1.S9.E7.m1aadec | |||
Property / Symbols used | |||
Property / Symbols used: Q11323 / rank | |||
Normal rank | |||
Property / Symbols used: Q11323 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
Property / Symbols used: Q11323 / qualifier | |||
xml-id: C8.S1.XMD2.m1cdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11324 / rank | |||
Normal rank | |||
Property / Symbols used: Q11324 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}a | |||
Property / Symbols used: Q11324 / qualifier | |||
xml-id: C8.S1.XMD3.m1ddec | |||
Property / Symbols used | |||
Property / Symbols used: Q11343 / rank | |||
Normal rank | |||
Property / Symbols used: Q11343 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \delta}\delta | |||
Property / Symbols used: Q11343 / qualifier | |||
xml-id: C8.S1.XMD7.m1adec |
Latest revision as of 13:53, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:8.11.E5 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \normincGammaP@{a}{z}\asympeq\frac{z^{a}e^{-z}}{\EulerGamma@{1+a}}\asympeq(2\pi a)^{-\frac{1}{2}}e^{a-z}(z/a)^{a},}
0 references
DLMF:8.11.E5
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase@@{a}|\leq\pi-\delta}
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a\to\infty}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\operatorname{ph}a|\leq\pi-\delta}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympeq}
C2.S1.E1.m2adec
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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.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \normincGammaP@{\NVar{a}}{\NVar{z}}}
C8.S2.E4.m1adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase}
C1.S9.E7.m1aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C8.S1.XMD2.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
C8.S1.XMD3.m1ddec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \delta}
C8.S1.XMD7.m1adec
0 references