DLMF:27.12.E8 (Q8092): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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| (7 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 \alpha>0}\alpha>0 | |||
| Property / constraint: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \alpha>0} / rank | |||
Normal rank | |||
| Property / Symbols used | |||
| Property / Symbols used: order not exceeding / rank | |||
Normal rank | |||
| Property / Symbols used: order not exceeding / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}\bigO@{\NVar{x}} | |||
| Property / Symbols used: order not exceeding / qualifier | |||
xml-id: C2.S1.E3.m2abdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Euler’s totient / rank | |||
Normal rank | |||
| Property / Symbols used: Euler’s totient / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Eulertotientphi[]@{\NVar{n}}}\Eulertotientphi[]@{\NVar{n}} | |||
| Property / Symbols used: Euler’s totient / qualifier | |||
xml-id: C27.S2.E7.m2adec | |||
| Property / Symbols used | |||
| Property / Symbols used: exponential function / rank | |||
Normal rank | |||
| Property / Symbols used: exponential function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \exp@@{\NVar{z}}}\exp@@{\NVar{z}} | |||
| Property / Symbols used: exponential function / qualifier | |||
xml-id: C4.S2.E19.m2abdec | |||
| Property / Symbols used | |||
| Property / Symbols used: logarithmic integral / rank | |||
Normal rank | |||
| Property / Symbols used: logarithmic integral / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \logint@{\NVar{x}}}\logint@{\NVar{x}} | |||
| Property / Symbols used: logarithmic integral / qualifier | |||
xml-id: C6.S2.E8.m2acdec | |||
| Property / Symbols used | |||
| Property / Symbols used: principal branch of logarithm function / rank | |||
Normal rank | |||
| Property / Symbols used: principal branch of logarithm function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{\NVar{z}}}\ln@@{\NVar{z}} | |||
| Property / Symbols used: principal branch of logarithm function / qualifier | |||
xml-id: C4.S2.E2.m2afdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q12239 / rank | |||
Normal rank | |||
| Property / Symbols used: Q12239 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}m | |||
| Property / Symbols used: Q12239 / qualifier | |||
xml-id: C27.S1.XMD3.m1dec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q12237 / rank | |||
Normal rank | |||
| Property / Symbols used: Q12237 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}x | |||
| Property / Symbols used: Q12237 / qualifier | |||
xml-id: C27.S1.XMD6.m1edec | |||
Latest revision as of 13:29, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:27.12.E8 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{\logint@{x}}{\Eulertotientphi[]@{m}}+\bigO@{x\exp@{-\lambda(\alpha)(\ln@@{x})^{1/2}}},}
0 references
DLMF:27.12.E8
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m\leq(\ln@@{x})^{\alpha}}
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m\leq(\ln x)^{\alpha}}
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \alpha>0}
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}
C2.S1.E3.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Eulertotientphi[]@{\NVar{n}}}
C27.S2.E7.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \exp@@{\NVar{z}}}
C4.S2.E19.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \logint@{\NVar{x}}}
C6.S2.E8.m2acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{\NVar{z}}}
C4.S2.E2.m2afdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C27.S1.XMD3.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
C27.S1.XMD6.m1edec
0 references