DLMF:19.9.E4 (Q6247): Difference between revisions

From DRMF
Jump to navigation Jump to search
Newer edit →
‎Created a new Item: Wikidata Toolkit example test item creation
 
‎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.m2aadec

Revision as of 13:44, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:19.9.E4
No description defined

    Statements

    Defining formula
    ( 1 + k ′ 3 / 2 2 ) 2 / 3 ≤ 2 π ⁢ E ⁡ ( k ) ≤ ( 1 + k ′ 2 2 ) 1 / 2 superscript 1 superscript superscript 𝑘 ′ 3 2 2 2 3 2 𝜋 complete-elliptic-integral-second-kind-E 𝑘 superscript 1 superscript superscript 𝑘 ′ 2 2 1 2 {\displaystyle{\displaystyle\left(\frac{1+{k^{\prime}}^{3/2}}{2}\right)^{2/3}% \leq\frac{2}{\pi}E\left(k\right)\leq\left(\frac{1+{k^{\prime}}^{2}}{2}\right)^% {1/2}}}
    0 references
    DLMF id
    DLMF:19.9.E4
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q6247&oldid=39613"