DLMF:7.8.E7 (Q2393): Difference between revisions

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imported>Admin
 
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Property / constraint
 

x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}

x>0
Property / constraint: x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1abdec
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.m2abdec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3abdec
Property / Symbols used
 
Property / Symbols used: Q11313 / rank
 
Normal rank
Property / Symbols used: Q11313 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11313 / qualifier
 
xml-id: C7.S1.XMD1.m1fdec

Latest revision as of 00:47, 2 January 2020

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DLMF:7.8.E7
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    Statements

    0 x e t 2 d t < e x 2 - 1 x , superscript subscript 0 𝑥 superscript 𝑒 superscript 𝑡 2 𝑡 superscript 𝑒 superscript 𝑥 2 1 𝑥 {\displaystyle{\displaystyle\int_{0}^{x}e^{t^{2}}\mathrm{d}t<\frac{e^{x^{2}}-1% }{x},}}
    0 references
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    x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1abdec
    0 references
    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2abdec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3abdec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C7.S1.XMD1.m1fdec
    0 references