----- Original Message -----
From: Richard Baker <[EMAIL PROTECTED]>
To: <[EMAIL PROTECTED]>
Sent: Monday, November 25, 2002 6:32 AM
Subject: Re: Vectors with scalar of zero
> Alberto said:
>
> > The number of sets of infinite vectors with one scalar zero
> > is also infinite, but a much bigger infinite
>
> Uh, the components of a vector aren't scalars because they aren't
> unchanged by changes in coordinate system. But that's why I was
> confused by Mark's message - I translated "scalar of a vector" into
> "inner product of vector with itself" and then it all looked like
> nonsense.
>
> Rich
> GCU Minor Point
After reading Mark's original post:
----- Original Message -----
From: <[EMAIL PROTECTED]>
To: <[EMAIL PROTECTED]>
Sent: Sunday, November 24, 2002 7:55 PM
Subject: Vectors with scalar of zero
>
> There are an infinite number of vectors with a scalar of zero on a two
> dimensional plane, though there are only two vectors with a scalar of zero
on
> a one dimensional line. So, to make the vector-cardinality proof valid
> [soc.history.what-if, "non-linear equations"], I have to add that counting
> all vectors with scalars of zero as one vector with a start at the origin,
> the vector-cardinality proof that differentiable functions have
cardinality
> less than or equal to the cardinality of the set of complex numbers. Wtf
do
> I have to mention the details? Even these statements might have holes in
> them regarding my proof.
>
I thought maybe by "vectors with a scalar of zero" he meant "vectors whose
tails (representing vectors as directed line segments in Euclidean n-space)
are at the origin," then by "there are only two vectors with a scalar of
zero on a one dimensional line" he meant that one 'points' in a positive
direction and the other in a negative direction" and he is not concerned
with the length of the vector at all.
Of course, that's just a guess on my part, based more on reading the above
paragraph out of its context than the usual mathematical definitions of
"scalar" and "vector" . . .
--Ronn! :)
If You Think That's Bad You Should See Some Of The Stuff I Read In Freshman
Math Test Papers Maru
I always knew that I would see the first man on the Moon.
I never dreamed that I would see the last.
--Dr. Jerry Pournelle
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