DLMF:23.18.E6 (Q7366): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older edit
imported>Admin
imported>Admin
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12087 / rank
 
Normal rank
Property / Symbols used: Q12087 / qualifier
 
test:

c 𝑐 {\displaystyle{\displaystyle c}}

c
Property / Symbols used: Q12087 / qualifier
 
xml-id: C23.S15.XMD4.m1adec
Property / Symbols used
 
Property / Symbols used: Q12088 / rank
 
Normal rank
Property / Symbols used: Q12088 / qualifier
 
test:

d 𝑑 {\displaystyle{\displaystyle d}}

d
Property / Symbols used: Q12088 / qualifier
 
xml-id: C23.S15.XMD5.m1adec
Property / Symbols used
 
Property / Symbols used: Q12092 / rank
 
Normal rank
Property / Symbols used: Q12092 / qualifier
 
test:

ε ⁢ ( 𝒜 ) 𝜀 𝒜 {\displaystyle{\displaystyle\varepsilon(\mathcal{A})}}

\varepsilon(\mathcal{A})
Property / Symbols used: Q12092 / qualifier
 
xml-id: C23.S18.XMD3.m1adec

Latest revision as of 00:20, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:23.18.E6
No description defined

    Statements

    test
    ε ⁢ ( 𝒜 ) = exp ⁡ ( π ⁢ i ⁢ ( a + d 12 ⁢ c + s ⁢ ( - d , c ) ) ) , 𝜀 𝒜 𝜋 𝑖 𝑎 𝑑 12 𝑐 𝑠 𝑑 𝑐 {\displaystyle{\displaystyle\varepsilon(\mathcal{A})=\exp\left(\pi i\left(% \frac{a+d}{12c}+s(-d,c)\right)\right),}}
    0 references
    DLMF id
    DLMF:23.18.E6
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
    exponential function
    test
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2adec
    0 references
    imaginary unit
    test
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aadec
    0 references
    Q12084
    test
    𝒜 𝒜 {\displaystyle{\displaystyle\mathcal{A}}}
    xml-id
    C23.S15.XMD1.m1cdec
    0 references
    Q12085
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C23.S15.XMD2.m1dec
    0 references
    Q12087
    test
    c 𝑐 {\displaystyle{\displaystyle c}}
    xml-id
    C23.S15.XMD4.m1adec
    0 references
    Q12088
    test
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C23.S15.XMD5.m1adec
    0 references
    Q12092
    test
    ε ⁢ ( 𝒜 ) 𝜀 𝒜 {\displaystyle{\displaystyle\varepsilon(\mathcal{A})}}
    xml-id
    C23.S18.XMD3.m1adec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q7366&oldid=41208"