DLMF:4.2.E24 (Q1520): Difference between revisions

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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.m2aedec

Revision as of 17:03, 1 January 2020

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DLMF:4.2.E24
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    Statements

    exp z = e x cos y + i e x sin y . 𝑧 superscript 𝑒 𝑥 𝑦 𝑖 superscript 𝑒 𝑥 𝑦 {\displaystyle{\displaystyle\exp z=e^{x}\cos y+ie^{x}\sin y.}}
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    cos z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    C4.S14.E2.m2adec
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    exp z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    C4.S2.E19.m2aedec
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2afdec
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    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2aedec
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