DLMF:1.9.E15 (Q259): Difference between revisions

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Property / Digital Library of Mathematical Functions ID
 
Property / Digital Library of Mathematical Functions ID: DLMF:1.9.E15 / rank
Normal rank
 
Property / Digital Library of Mathematical Functions ID
 
Property / Digital Library of Mathematical Functions ID: 1.9.E15 / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
DLMF defining formula:

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

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2aedec
Property / Symbols used
 
Property / Symbols used: variable / rank
 
Normal rank
Property / Symbols used: variable / qualifier
 
DLMF defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: variable / qualifier
 
xml-id: C1.S1.XMD1.m1idec
Property / instance of
 
Property / instance of: Digital Library of Mathematical Functions Formula / rank
 
Normal rank
Property / MaRDI profile type
 
Property / MaRDI profile type: MaRDI formula profile / rank
 
Normal rank
links / mardi / namelinks / mardi / name
 

Latest revision as of 00:49, 3 March 2024

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DLMF:1.9.E15
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    Statements

    z 1 z 2 = x 1 x 2 - y 1 y 2 + i ( x 1 y 2 + x 2 y 1 ) , subscript 𝑧 1 subscript 𝑧 2 subscript 𝑥 1 subscript 𝑥 2 subscript 𝑦 1 subscript 𝑦 2 𝑖 subscript 𝑥 1 subscript 𝑦 2 subscript 𝑥 2 subscript 𝑦 1 {\displaystyle{\displaystyle z_{1}z_{2}=x_{1}x_{2}-y_{1}y_{2}+i(x_{1}y_{2}+x_{% 2}y_{1}),}}
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    Warning: Falling back to standard tex;
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    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2aedec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C1.S1.XMD1.m1idec
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    Identifiers