Re: how can I return nothing?



Michal Nazarewicz said:

richard@xxxxxxxxxxxxxxx (Richard Tobin) writes:

In article <1xgzve9ftnef0.qkfno80gbnsf.dlg@xxxxxxxxxx>,
Coos Haak <chforth@xxxxxxxxx> wrote:

i nor -i is the square root of -1.

What makes you think that?

The same thing I've pointed. In real number domain a square root of
x is defined to be _nonnegative_ number which squared gives x. You
cannot apply analogical definitions to complex numbers since there is no
such think as nonnegative complex number (or nonpositive for that
matter).

Sorry, but I must disagree. I can accept that there is no such thing as a
positive imaginary number, and no such thing as a negative imaginary
number, but I cannot accept that there is no such thing as a non-negative
*complex* number. A complex number has a (possibly zero but usually not)
real number element which is sufficient to displace it off the zero line
in the complex plane. Most numbers in the complex plane are either to the
right of the zero line (positive) or to its left (negative), regardless of
the value of their imaginary co-ordinate.

--
Richard Heathfield <http://www.cpax.org.uk>
Email: -www. +rjh@
Google users: <http://www.cpax.org.uk/prg/writings/googly.php>
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