DLMF:33.14.E6 (Q9615): Difference between revisions

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‎Changed an Item: Wikidata Toolkit example test statement addition
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
Defining formula:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2adec

Revision as of 14:31, 2 January 2020

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DLMF:33.14.E6
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    Statements

    Defining formula
    κ = { ( - ϵ ) - 1 / 2 , ϵ < 0 , r > 0 , - ( - ϵ ) - 1 / 2 , ϵ < 0 , r < 0 , ± i ⁢ ϵ - 1 / 2 , ϵ > 0 . 𝜅 cases superscript italic-ϵ 1 2 formulae-sequence italic-ϵ 0 𝑟 0 superscript italic-ϵ 1 2 formulae-sequence italic-ϵ 0 𝑟 0 plus-or-minus imaginary-unit superscript italic-ϵ 1 2 italic-ϵ 0 {\displaystyle{\displaystyle\kappa=\begin{cases}(-\epsilon)^{-1/2},&\epsilon<0% ,r>0,\\ -(-\epsilon)^{-1/2},&\epsilon<0,r<0,\\ \pm\mathrm{i}\epsilon^{-1/2},&\epsilon>0.\end{cases}}}
    0 references
    DLMF id
    DLMF:33.14.E6
    0 references
    Symbols used
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
    0 references
     
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