DLMF:36.7.E4 (Q9937): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
 
imported>Admin
 
(3 intermediate revisions by the same user not shown)
Property / constraint
 

n = 1 , 2 , 3 , 𝑛 1 2 3 {\displaystyle{\displaystyle n=1,2,3,\dots}}

n=1,2,3,\dots
Property / constraint: n = 1 , 2 , 3 , 𝑛 1 2 3 {\displaystyle{\displaystyle n=1,2,3,\dots}} / rank
 
Normal rank
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
 
test:

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
Property / Symbols used
 
Property / Symbols used: Q12746 / rank
 
Normal rank
Property / Symbols used: Q12746 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12746 / qualifier
 
xml-id: C36.S1.XMD11.m1dec
Property / Symbols used
 
Property / Symbols used: Q12755 / rank
 
Normal rank
Property / Symbols used: Q12755 / qualifier
 
test:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12755 / qualifier
 
xml-id: C36.S1.XMD3.m1cdec

Latest revision as of 14:10, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:36.7.E4
No description defined

    Statements

    z n = ± 3 ( 1 4 π ( 2 n - 1 2 ) ) 1 / 3 = 3.48734 ( n - 1 4 ) 1 / 3 , subscript 𝑧 𝑛 plus-or-minus 3 superscript 1 4 𝜋 2 𝑛 1 2 1 3 3.48734 superscript 𝑛 1 4 1 3 {\displaystyle{\displaystyle z_{n}=\pm 3(\tfrac{1}{4}\pi(2n-\tfrac{1}{2}))^{1/% 3}\\ =3.48734(n-\tfrac{1}{4})^{1/3},}}
    0 references
    0 references
    Warning: Falling back to standard tex;
    0 references
    n = 1 , 2 , 3 , 𝑛 1 2 3 {\displaystyle{\displaystyle n=1,2,3,\dots}}
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2acdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C36.S1.XMD11.m1dec
    0 references
    m 𝑚 {\displaystyle{\displaystyle m}}
    C36.S1.XMD3.m1cdec
    0 references