2014年8月10日 · $\begingroup$ Is $1+0i$ really the same as $1$ mathematically? $1+0i$ lies on a 2-dimensional complex plane while $1$ lies on a 1-dimensional line. $1+0i$ contains more …

2015年2月7日 · 0 + 0i has NO real part and NO imaginary part. That's not true: it has both a real part and an imaginary part, like every complex number. Its real part is 0, and its imaginary part …

2015年1月12日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

2015年10月3日 · Here's a proof that I absolutely do not believe: take its complex conjugate, which is $\bigl({\bar i}\bigr)^{\bar i}=(1/i)^{-i}=i^i$.

2019年7月8日 · The conjugate of a complex number is the number with equal real part and opposite (i.e. negated) imaginary part.

2019年12月22日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

0 is definitely real; if by "imaginary" you mean "with nonzero imaginary part" then no, but if by "imaginary" you mean "with zero real part" (that is, "on the imaginary axis"), then yes

2015年8月6日 · $\begingroup$ For complex exponent I agree with you that $0^0 = 1$ is not a good thing to have (not that it is impossible but just that it does not make anything better) for …

2017年5月5日 · $\\mathbb Q$ is used to represent rational numbers. $\\mathbb R$ is used to represent real numbers. Is there an accepted symbol for imaginary numbers?

2022年7月15日 · This weekend I’m going to look a 2013 Impreza. It has 33k miles, clean title, no accidents reported, regular maintenance, one owner, “haggle-free”…