JeremyMallin, 23 days ago Are imaginary numbers even and odd or do those names only apply to real integers? #RandomThoughts #Mathematics
Are imaginary numbers even and odd or do those names only apply to real integers? #RandomThoughts #Mathematics
mina, 23 days ago @JeremyMallin Usually, we do speak of "even" and "odd" only when talking about integers. However: With pure imaginary integers, you could call them "even" or "odd". It does not make much sense to talk about imaginary numbers alone, without talking about the field of complex numbers. In that case, a statement like Let z = a + ib be a complex number with odd imaginary part b makes total sense.
@JeremyMallin
Usually, we do speak of "even" and "odd" only when talking about integers.
However: With pure imaginary integers, you could call them "even" or "odd".
It does not make much sense to talk about imaginary numbers alone, without talking about the field of complex numbers.
In that case, a statement like
Let z = a + ib be a complex number with odd imaginary part b
makes total sense.
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