DLMF:1.9.E28 (Q303): Difference between revisions

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imported>Admin
 
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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.m1adec
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
test:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2aidec
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.m3adec
Property / Symbols used
 
Property / Symbols used: Q10821 / rank
 
Normal rank
Property / Symbols used: Q10821 / qualifier
 
test:

C 𝐶 {\displaystyle{\displaystyle C}}

C
Property / Symbols used: Q10821 / qualifier
 
xml-id: C1.S9.XMD12.m1dec

Latest revision as of 15:07, 1 January 2020

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DLMF:1.9.E28
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    Statements

    C f ( z ) d z = a b f ( z ( t ) ) ( x ( t ) + i y ( t ) ) d t , subscript 𝐶 𝑓 𝑧 𝑧 superscript subscript 𝑎 𝑏 𝑓 𝑧 𝑡 superscript 𝑥 𝑡 𝑖 superscript 𝑦 𝑡 𝑡 {\displaystyle{\displaystyle\int_{C}f(z)\mathrm{d}z=\int_{a}^{b}f(z(t))(x^{% \prime}(t)+iy^{\prime}(t))\mathrm{d}t,}}
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1adec
    0 references
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2aidec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3adec
    0 references
    C 𝐶 {\displaystyle{\displaystyle C}}
    C1.S9.XMD12.m1dec
    0 references