DLMF:28.28.E10 (Q8434): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: hyperbolic cosine function / rank
 
Normal rank
Property / Symbols used: hyperbolic cosine function / qualifier
 
test:

cosh z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}

\cosh@@{\NVar{z}}
Property / Symbols used: hyperbolic cosine function / qualifier
 
xml-id: C4.S28.E2.m2aadec
Property / Symbols used
 
Property / Symbols used: Q10817 / rank
 
Normal rank
Property / Symbols used: Q10817 / qualifier
 
test:

ph phase {\displaystyle{\displaystyle\operatorname{ph}}}

\phase
Property / Symbols used: Q10817 / qualifier
 
xml-id: C1.S9.E7.m1adec
Property / Symbols used
 
Property / Symbols used: Q12294 / rank
 
Normal rank
Property / Symbols used: Q12294 / qualifier
 
test:

h {\displaystyle{\displaystyle h}}

h
Property / Symbols used: Q12294 / qualifier
 
xml-id: C28.S1.XMD11.m1gdec
Property / Symbols used
 
Property / Symbols used: Q12272 / rank
 
Normal rank
Property / Symbols used: Q12272 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12272 / qualifier
 
xml-id: C28.S1.XMD6.m1hdec

Latest revision as of 14:19, 2 January 2020

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English
DLMF:28.28.E10
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    Statements

    0 < ph ( h ( cosh z ± 1 ) ) < π . 0 phase plus-or-minus 𝑧 1 𝜋 {\displaystyle{\displaystyle 0<\operatorname{ph}\left(h(\cosh z\pm 1)\right)<% \pi.}}
    0 references
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2ahdec
    0 references
    cosh z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    C4.S28.E2.m2aadec
    0 references
    ph phase {\displaystyle{\displaystyle\operatorname{ph}}}
    C1.S9.E7.m1adec
    0 references
    h {\displaystyle{\displaystyle h}}
    C28.S1.XMD11.m1gdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C28.S1.XMD6.m1hdec
    0 references