DLMF:4.5.E13 (Q1566): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11218 / rank
 
Normal rank
Property / Symbols used: Q11218 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11218 / qualifier
 
xml-id: C4.S1.XMD6.m1kdec
Property / Symbols used
 
Property / Symbols used: Q11222 / rank
 
Normal rank
Property / Symbols used: Q11222 / qualifier
 
test:

y 𝑦 {\displaystyle{\displaystyle y}}

y
Property / Symbols used: Q11222 / qualifier
 
xml-id: C4.S1.XMD7.m1dec

Latest revision as of 17:08, 1 January 2020

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English
DLMF:4.5.E13
No description defined

    Statements

    test
    e x ⁢ y / ( x + y ) < ( 1 + x y ) y < e x , superscript 𝑒 𝑥 𝑦 𝑥 𝑦 superscript 1 𝑥 𝑦 𝑦 superscript 𝑒 𝑥 {\displaystyle{\displaystyle e^{xy/(x+y)}<\left(1+\frac{x}{y}\right)^{y}<e^{x}% ,}}
    0 references
    DLMF id
    DLMF:4.5.E13
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    constraint
    y > 0 𝑦 0 {\displaystyle{\displaystyle y>0}}
    0 references
    Symbols used
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2afdec
    0 references
    Q11218
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C4.S1.XMD6.m1kdec
    0 references
    Q11222
    test
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C4.S1.XMD7.m1dec
    0 references
     
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