DLMF:4.5.E16 (Q1569): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
Defining formula:

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

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2aidec

Revision as of 18:08, 1 January 2020

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English
DLMF:4.5.E16
No description defined

    Statements

    Defining formula
    | e z - 1 | ≤ e | z | - 1 ≤ | z | ⁢ e | z | , superscript 𝑒 𝑧 1 superscript 𝑒 𝑧 1 𝑧 superscript 𝑒 𝑧 {\displaystyle{\displaystyle|e^{z}-1|\leq e^{|z|}-1\leq|z|e^{|z|},}}
    0 references
    DLMF id
    DLMF:4.5.E16
    0 references
    comment
    Warning: Falling back to standard tex;
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    constraint
    z ∈ ℂ 𝑧 {\displaystyle{\displaystyle z\in\mathbb{C}}}
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    Symbols used
    Q10923
    Defining formula
    ℂ {\displaystyle{\displaystyle\mathbb{C}}}
    xml-id
    introduction.Sx4.p1.t1.r1.m2adec
    0 references
    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2adec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aidec
    0 references
     
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