Needing a < , > comparison for imaginary numbers
That's hard to define unambiguously at a mathematical level. What definition did you have in mind? Can you provide more context? (Maybe you want to compare Mod(x) to Mod(y) ?) On 2024-03-25 3:23 a.m., Thomas K wrote:> Needing a < , > comparison for imaginary numbers > > ______________________________________________ > R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide > http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code.
Hi Thomas, If you want to compare the imaginary portions, you could do: Im(z1) < Im(z2) If you want to compare the magnitudes, you could do: Mod(z1) < Mod(z2) If you want to compare complex numbers, i.e. z1 < z2, well that just doesn't make sense. On Mon, Mar 25, 2024, 10:17 Thomas K <boss at bangel.tech> wrote:> Needing a < , > comparison for imaginary numbers > > ______________________________________________ > R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide > http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code. >[[alternative HTML version deleted]]
?complex On March 25, 2024 12:23:43 AM PDT, Thomas K <boss at bangel.tech> wrote:>Needing a < , > comparison for imaginary numbers > >______________________________________________ >R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see >https://stat.ethz.ch/mailman/listinfo/r-help >PLEASE do read the posting guide http://www.R-project.org/posting-guide.html >and provide commented, minimal, self-contained, reproducible code.-- Sent from my phone. Please excuse my brevity.
What is your actual problem that you are trying to solve by comparing imaginary numbers? The reals are an ordered field. The complex numbers are a field but cannot support an ordering that is consistent with the field (or even ring) axioms. The imaginary numbers are not a field or even a ring. To quote Brian Marick's wonderful sticker, "An example would be good about now". On Tue, 26 Mar 2024 at 03:17, Thomas K <boss at bangel.tech> wrote:> > Needing a < , > comparison for imaginary numbers > > ______________________________________________ > R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code.