Forms of Complex Numbers

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display(r.eval("""

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z<-complex(real=-sqrt(2-sqrt(3)),

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           imaginary=sqrt(2+sqrt(3)))

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# polar form

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zp<-Mod(z)*(cos(Arg(z))+sin(Arg(z))*sqrt(as.complex(-1)))

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# exponential form

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ze<-Mod(z)*exp(Arg(z)*sqrt(as.complex(-1)))

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cat(zp==ze); c(z,zp,ze)"""))

Language: Sage Gap GP HTML Macaulay2 Maxima Octave Python R Singular

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