DLMF:14.15.E22 (Q4868): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
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.m2abdec

Revision as of 01:52, 2 January 2020

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DLMF:14.15.E22
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    Statements

    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\left(\alpha^{2}-y\right)^{1/2}+\tfrac{1}{2}\alpha\ln@@{|y|}-\alpha\ln@{\left(\alpha^{2}-y\right)^{1/2}+\alpha}}={\ln@{\frac{x+\left(x^{2}-1+\alpha^{2}\right)^{1/2}}{\left(1-\alpha^{2}\right)^{1/2}}}+\frac{\alpha}{2}\ln@{\frac{\left(1-\alpha^{2}\right)\left|1-x^{2}\right|}{\left(1+\alpha^{2}\right)x^{2}-1+\alpha^{2}+2\alpha x\left(x^{2}-1+\alpha^{2}\right)^{1/2}}}},}
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    DLMF:14.15.E22
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle y\leq\alpha^{2}}
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{\NVar{z}}}
    C4.S2.E2.m2abdec
    0 references