DLMF:24.9.E7 (Q7503): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
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.m2acdec

Revision as of 01:39, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:24.9.E7
No description defined

    Statements

    Defining formula
    8 ⁢ n π ⁢ ( 4 ⁢ n π ⁢ e ) 2 ⁢ n ⁢ ( 1 + 1 12 ⁢ n ) > ( - 1 ) n ⁢ E 2 ⁢ n > 8 ⁢ n π ⁢ ( 4 ⁢ n π ⁢ e ) 2 ⁢ n . 8 𝑛 𝜋 superscript 4 𝑛 𝜋 𝑒 2 𝑛 1 1 12 𝑛 superscript 1 𝑛 Euler-number-E 2 𝑛 8 𝑛 𝜋 superscript 4 𝑛 𝜋 𝑒 2 𝑛 {\displaystyle{\displaystyle 8\sqrt{\frac{n}{\pi}}\left(\frac{4n}{\pi e}\right% )^{2n}\left(1+\frac{1}{12n}\right)>(-1)^{n}E_{2n}>8\sqrt{\frac{n}{\pi}}\left(% \frac{4n}{\pi e}\right)^{2n}.}}
    0 references
    DLMF id
    DLMF:24.9.E7
    0 references
    Symbols used
    Q11238
    Defining formula
    E n Euler-number-E 𝑛 {\displaystyle{\displaystyle E_{\NVar{n}}}}
    xml-id
    C24.S2.SS2.m1aadec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2acdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7503&oldid=33359"