[PD] basic DSP stuff
Chuckk Hubbard
badmuthahubbard at gmail.com
Fri Nov 11 02:19:16 CET 2005
What I'm getting at is that expressing rotation as complex numbers is no
different than using cartesian coordinates. Why, when you multiply two
points, would one of the multiples turn negative?
I see no reason you couldn't say i = 1/0. Then 4*0*i=4. That makes as much
sense.
On 11/10/05, Mathieu Bouchard <matju at artengine.ca> wrote:
>
> On Mon, 7 Nov 2005, Chuckk Hubbard wrote:
>
> > Not that I don't appreciate the snide commentary, but this is why I'm
> > asking. You can't forget the sin*sin part. i stands for "imaginary".
> > (slowly: i is "imaginary"). Turning the product of sines into the
> > negative product of sines is imaginary. There is no number that,
> > squared, equals -1. There is no number that, squared, equals -1. It's
> > not really there.
>
> depends on how people define "number". In math, it's usual to use an
> extended definition which isn't so limited as to forbid sqrt(-1) from
> existing.
>
> also, to understand the word "imaginary" in math, you have to first
> understand that its meaning is completely distinct from any meaning of
> "imaginary" outside of math.
>
> likewise for Real... "Real" is just a name. Small integers have a
> relatively high tangible quality to them, but it gets mostly downhill from
> there. "Real" numbers are arguably much less tangible than integer
> numbers, rational numbers, algebraic numbers, and then some. The numbers
> PI and E are a lot more tangible than almost all (100%) of the Real
> numbers.
>
> ____________________________________________________________________
> Mathieu Bouchard - tél:+1.514.383.3801 - http://artengine.ca/matju
> Freelance Digital Arts Engineer, Montréal QC Canada
>
--
"It is not when truth is dirty, but when it is shallow, that the lover of
knowledge is reluctant to step into its waters."
-Friedrich Nietzsche, "Thus Spoke Zarathustra"
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