A complex number $a + bi$ has a real part $a$ and an imaginary part $b$.
But, what about dual numbers $u + v\epsilon $? I have seen the non-real part $v$ been called the infinitesimal part. Is this a common convention? Or is there a different one?
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1I've never heard a common name, and a truly common name should appear in Wikipedia. "Infinitesimal part" is pretty good, or "nonconstant part" in a pinch. – rschwieb May 23 '15 at 13:11
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1In some sources I have seen also imaginary part. – user48672 Aug 02 '15 at 12:28
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Once again a bunch of answers posted as comments, making this question unanswered even though it is not. See How do comments work for more information. – Martin Brandenburg Sep 08 '24 at 10:55