DLMF:2.2.E5 (Q712): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
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.m2aadec

Revision as of 16:49, 1 January 2020

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DLMF:2.2.E5
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    Statements

    Defining formula
    t 2 = y + ln ⁡ t = y + 1 2 ⁢ ln ⁡ y + o ⁡ ( 1 ) , superscript 𝑡 2 𝑦 𝑡 𝑦 1 2 𝑦 little-o 1 {\displaystyle{\displaystyle t^{2}=y+\ln t=y+\tfrac{1}{2}\ln y+o\left(1\right)% ,}}
    0 references
    DLMF id
    DLMF:2.2.E5
    0 references
    Symbols used
    order less than
    Defining formula
    o ⁡ ( x ) little-o 𝑥 {\displaystyle{\displaystyle o\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E2.m2aadec
    0 references
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2aadec
    0 references
     
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