DLMF:22.2.E12 (Q6934): Difference between revisions

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imported>Admin
 
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Property / Symbols used
 
Property / Symbols used: Q11821 / rank
 
Normal rank
Property / Symbols used: Q11821 / qualifier
 
test:

K ( k ) complementary-complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle{K^{\prime}}\left(\NVar{k}\right)}}

\ccompellintKk@{\NVar{k}}
Property / Symbols used: Q11821 / qualifier
 
xml-id: C19.S2.E9.m1aadec
Property / Symbols used
 
Property / Symbols used: Q11600 / rank
 
Normal rank
Property / Symbols used: Q11600 / qualifier
 
test:

K ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}

\compellintKk@{\NVar{k}}
Property / Symbols used: Q11600 / qualifier
 
xml-id: C19.S2.E8.m1acdec
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
test:

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

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2adec
Property / Symbols used
 
Property / Symbols used: Q11984 / rank
 
Normal rank
Property / Symbols used: Q11984 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11984 / qualifier
 
xml-id: C22.S1.XMD4.m1kdec
Property / Symbols used
 
Property / Symbols used: Q11987 / rank
 
Normal rank
Property / Symbols used: Q11987 / qualifier
 
test:

τ 𝜏 {\displaystyle{\displaystyle\tau}}

\tau
Property / Symbols used: Q11987 / qualifier
 
xml-id: C22.S1.XMD6.m1adec

Latest revision as of 13:56, 2 January 2020

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DLMF:22.2.E12
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    Statements

    τ = i K ( k ) / K ( k ) , 𝜏 imaginary-unit complementary-complete-elliptic-integral-first-kind-K 𝑘 complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle\tau=\ifrac{\mathrm{i}{K^{\prime}}\left(k\right)}{% K\left(k\right)},}}
    0 references
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    K ( k ) complementary-complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle{K^{\prime}}\left(\NVar{k}\right)}}
    C19.S2.E9.m1aadec
    0 references
    K ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}
    C19.S2.E8.m1acdec
    0 references
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2adec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C22.S1.XMD4.m1kdec
    0 references
    τ 𝜏 {\displaystyle{\displaystyle\tau}}
    C22.S1.XMD6.m1adec
    0 references