DLMF:2.6.E34 (Q860): Difference between revisions

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Changed an Item: Wikidata Toolkit example test statement addition
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

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

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1aodec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3aodec
Property / Symbols used
 
Property / Symbols used: Q11029 / rank
 
Normal rank
Property / Symbols used: Q11029 / qualifier
 
Defining formula:

g ( t ) 𝑔 𝑡 {\displaystyle{\displaystyle g(t)}}

g(t)
Property / Symbols used: Q11029 / qualifier
 
xml-id: C2.S6.XMD16.m1dec
Property / Symbols used
 
Property / Symbols used: Q11019 / rank
 
Normal rank
Property / Symbols used: Q11019 / qualifier
 
Defining formula:

f ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}

f(t)
Property / Symbols used: Q11019 / qualifier
 
xml-id: C2.S6.XMD2.m1odec

Latest revision as of 17:14, 1 January 2020

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DLMF:2.6.E34
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    Statements

    ( f g ) ( x ) = 0 x f ( x - t ) g ( t ) d t 𝑓 𝑔 𝑥 superscript subscript 0 𝑥 𝑓 𝑥 𝑡 𝑔 𝑡 𝑡 {\displaystyle{\displaystyle(f\ast g)(x)=\int_{0}^{x}f(x-t)g(t)\mathrm{d}t}}
    0 references
    DLMF:2.6.E34
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aodec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3aodec
    0 references
    g ( t ) 𝑔 𝑡 {\displaystyle{\displaystyle g(t)}}
    C2.S6.XMD16.m1dec
    0 references
    f ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}
    C2.S6.XMD2.m1odec
    0 references