DLMF:2.4.E9 (Q762): Difference between revisions

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

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2agdec
Property / Symbols used
 
Property / Symbols used: order less than / rank
 
Normal rank
Property / Symbols used: order less than / qualifier
 
test:

o ⁡ ( x ) little-o 𝑥 {\displaystyle{\displaystyle o\left(\NVar{x}\right)}}

\littleo@{\NVar{x}}
Property / Symbols used: order less than / qualifier
 
xml-id: C2.S1.E2.m2aadec
Property / Symbols used
 
Property / Symbols used: Q10973 / rank
 
Normal rank
Property / Symbols used: Q10973 / qualifier
 
test:

q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}

q(t)
Property / Symbols used: Q10973 / qualifier
 
xml-id: C2.S4.XMD16.m1fdec
Property / Symbols used
 
Property / Symbols used: Q10979 / rank
 
Normal rank
Property / Symbols used: Q10979 / qualifier
 
test:

c 𝑐 {\displaystyle{\displaystyle c}}

c
Property / Symbols used: Q10979 / qualifier
 
xml-id: C2.S4.XMD5.m1adec
Property / Symbols used
 
Property / Symbols used: Q10978 / rank
 
Normal rank
Property / Symbols used: Q10978 / qualifier
 
test:

f ⁢ ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}}

f(x)
Property / Symbols used: Q10978 / qualifier
 
xml-id: C2.S4.XMD9.m1cdec

Latest revision as of 15:58, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:2.4.E9
No description defined

    Statements

    test
    q ⁢ ( t ) = f ⁢ ( t ) + o ⁡ ( t - m ⁢ e c ⁢ t ) , 𝑞 𝑡 𝑓 𝑡 little-o superscript 𝑡 𝑚 superscript 𝑒 𝑐 𝑡 {\displaystyle{\displaystyle q(t)=f(t)+o\left(t^{-m}e^{ct}\right),}}
    0 references
    DLMF id
    DLMF:2.4.E9
    0 references
    constraint
    t → + ∞ → 𝑡 {\displaystyle{\displaystyle t\to+\infty}}
    0 references
    Symbols used
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2agdec
    0 references
    order less than
    test
    o ⁡ ( x ) little-o 𝑥 {\displaystyle{\displaystyle o\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E2.m2aadec
    0 references
    Q10973
    test
    q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}
    xml-id
    C2.S4.XMD16.m1fdec
    0 references
    Q10979
    test
    c 𝑐 {\displaystyle{\displaystyle c}}
    xml-id
    C2.S4.XMD5.m1adec
    0 references
    Q10978
    test
    f ⁢ ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}}
    xml-id
    C2.S4.XMD9.m1cdec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q762&oldid=4182"