DLMF:10.17.E15 (Q3184): Difference between revisions

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imported>Admin
 
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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
 
test:

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.m2ajdec
Property / Symbols used
 
Property / Symbols used: Q10901 / rank
 
Normal rank
Property / Symbols used: Q10901 / qualifier
 
test:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \imagpart@@}

\imagpart@@
Property / Symbols used: Q10901 / qualifier
 
xml-id: C1.S9.E2.m2adec
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
test:

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.m2agdec
Property / Symbols used
 
Property / Symbols used: Q10817 / rank
 
Normal rank
Property / Symbols used: Q10817 / qualifier
 
test:

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.m1aidec
Property / Symbols used
 
Property / Symbols used: total variation / rank
 
Normal rank
Property / Symbols used: total variation / qualifier
 
test:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \variation[\NVar{a,b}]@{\NVar{f}}}

\variation[\NVar{a,b}]@{\NVar{f}}
Property / Symbols used: total variation / qualifier
 
xml-id: C1.S4.E33.m2aadec
Property / Symbols used
 
Property / Symbols used: Q11426 / rank
 
Normal rank
Property / Symbols used: Q11426 / qualifier
 
test:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}

z
Property / Symbols used: Q11426 / qualifier
 
xml-id: C10.S1.XMD6.m1ldec
Property / Symbols used
 
Property / Symbols used: Q11443 / rank
 
Normal rank
Property / Symbols used: Q11443 / qualifier
 
test:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \chi(\ell)}

\chi(\ell)
Property / Symbols used: Q11443 / qualifier
 
xml-id: C10.S17.XMD5.m1dec

Latest revision as of 14:32, 2 January 2020

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DLMF:10.17.E15
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    Statements

    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \variation[z,i\infty]@{t^{-\ell}}\leq\begin{cases}|z|^{-\ell},&0\leq\phase@@{z}\leq\pi,\\ \chi(\ell)|z|^{-\ell},&\parbox[t]{224.037pt}{$-\tfrac{1}{2}\pi\leq\phase@@{z}\leq 0$ or $\pi\leq\phase@@{z}\leq\tfrac{3}{2}\pi$,}\\ 2\chi(\ell)|\imagpart@@{z}|^{-\ell},&\parbox[t]{224.037pt}{$-\pi<\phase@@{z}\leq-\tfrac{1}{2}\pi$ or $\tfrac{3}{2}\pi\leq\phase@@{z}<2\pi$,}\end{cases}}
    0 references
    DLMF id
    DLMF:10.17.E15
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    xml-id
    C3.S12.E1.m2ajdec
    0 references
    Q10901
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \imagpart@@}
    xml-id
    C1.S9.E2.m2adec
    0 references
    imaginary unit
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
    xml-id
    C1.S9.E1.m2agdec
    0 references
    Q10817
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase}
    xml-id
    C1.S9.E7.m1aidec
    0 references
    total variation
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \variation[\NVar{a,b}]@{\NVar{f}}}
    xml-id
    C1.S4.E33.m2aadec
    0 references
    Q11426
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    xml-id
    C10.S1.XMD6.m1ldec
    0 references
    Q11443
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \chi(\ell)}
    xml-id
    C10.S17.XMD5.m1dec
    0 references
     
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