Re: how can I return nothing?

Richard Heathfield wrote:
Tor Rustad said:

Richard Heathfield wrote:
<snip>
A real number is a point on the real number line. A complex number is a
point on the complex plane. If you can call one a vector, you can call
the other a vector too. A real number is a special case of a complex
number, so if a complex number is a vector, so is a real number.
I think you picture a single real axis.

Indeed. A straightforward real axis <--- thisaway ---> and an imaginary axis at right angles to it. That's the complex arithmetic I'm discussing.

My intension, was indeed to provide you with an abstraction .. as seen from the standpoint of theoretical physics, which at least for me, is far easier to grasp than pure mathematics.


Now, please name a mathematician who think that your "sign of z":

Not mine. AFAICR I haven't even mentioned a "sign of z".

I can *accept*, that your statements in this sub-thread, is rather
confusing at this point.


"No. I don't care what order you place the complex numbers in. I'm
talking about sign, not order."
- R.H.


"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."
- R.H.



sign(z) = Re(z) / |Re(z)|

What happened to the sign of the imaginary component?

"I can accept that there is no such thing as a positive imaginary
number, and no such thing as a negative imaginary number."
- R.H.


I give up.

--
Tor <torust [at] online [dot] no>
.

Relevant Pages

  • Re: how can I return nothing?
    ... snip ... ... it off the zero line in the complex plane. ... provided you specify the coordinate system. ...
    (comp.lang.c)
  • Re: unwrapped phase and zeros
    ... i am working on the group delay of speech signals and find that the signal ... Why do zeros on the unit circle affect the unwrapped ... around a zero depends on the closeness of the zero to the unit circle ... unit circle and in the upper half of the complex plane, ...
    (comp.dsp)
  • Re: CMS: where are the zeroes ?
    ... entire and that it is zero on the real axis. ... all clear how this would extend to the complex plane. ... Han de Bruijn ...
    (sci.math)
  • Re: mandelbrot in imaginary space
    ... > but i don't see how the complex plane can contain sqroot. ... > therefore x is zero and y is sqrootwhich is not real. ... > thanks, jack ... Prev by Date: ...
    (sci.fractals)
  • Re: Iterating the error function on the complex plane?
    ... so I can compute it on the complex plane. ... For Christ sake, what can be so difficult to write a program: ... Nothing about this is so difficult: the rub is calculating erf() ...
    (sci.math)