DLMF:32.11.E8 (Q9443): Difference between revisions

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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
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2adec
Property / Symbols used
 
Property / Symbols used: principal branch of logarithm function / rank
 
Normal rank
Property / Symbols used: principal branch of logarithm function / qualifier
 
Defining formula:

ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}

\ln@@{\NVar{z}}
Property / Symbols used: principal branch of logarithm function / qualifier
 
xml-id: C4.S2.E2.m2abdec
Property / Symbols used
 
Property / Symbols used: Q12534 / rank
 
Normal rank
Property / Symbols used: Q12534 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12534 / qualifier
 
xml-id: C32.S1.XMD5.m1adec
Property / Symbols used
 
Property / Symbols used: Q12635 / rank
 
Normal rank
Property / Symbols used: Q12635 / qualifier
 
Defining formula:

d 𝑑 {\displaystyle{\displaystyle d}}

d
Property / Symbols used: Q12635 / qualifier
 
xml-id: C32.S11.XMD5.m1bdec

Latest revision as of 14:13, 2 January 2020

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English
DLMF:32.11.E8
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    Statements

    d 2 = - π - 1 ln ( 1 - k 2 ) , superscript 𝑑 2 superscript 𝜋 1 1 superscript 𝑘 2 {\displaystyle{\displaystyle d^{2}=-\pi^{-1}\ln\left(1-k^{2}\right),}}
    0 references
    DLMF:32.11.E8
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2adec
    0 references
    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2abdec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C32.S1.XMD5.m1adec
    0 references
    d 𝑑 {\displaystyle{\displaystyle d}}
    C32.S11.XMD5.m1bdec
    0 references