Re: Rotations - why are they not vectors


"G.E. Ivey" <george.ivey@xxxxxxxxxxxxx> wrote in message
news:627837.1153051489453.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxxxxx
Why should any one respond to any question by you in the future? Several
people have responded, as best they could, to your somewhat vague
questions. (What, exactly do you mean by a "1-D rotation". I can see
"flipping", changing (x, 0, 0) to (-x, 0, 0) but how can you "rotate"
through an angle in 1 dimension?) You immediately started calling them
"fools". That's not a good way to convince people to answer your
questions.

For 45 years taxes from my hard earned income have been used to fund things
such as the internet and university education. It took me some time to
frame the question. For that it is not unreasonablke for me to expect
people to make a reasonable effort to understand a question before replying
to it . As a starter they should at least read it.

But what rreally makes me see red is the results of all that expenditure on
mathematical education - the results as displayed by prior respondents and
you.

What is unclear about "1-D rotations about a fixed axis" ? It is specified
by a 1-tuple x an anglular displacement; just like a 1-D translation is
specified by a 1-tuple x a linear displacement.

Rotations and Vectors have nothing intrinsically to do with Rn or any
similar pre-supposition. Rotations are just angular displacements - nothing
necessarily to do with translations at all ! Vectors are just things which
satisfy the axioms.

My standards are high but not unreasonably so considering my forced
financial investment. If they seem unreasonable to you and others remember
that as GBS told us all progress depends on unreasonable people.

My question is clear and straightforward. If you don't understand it blame
your maths professors; not me.

By the way the usual physical measurement of 1-D rotations is Time in hours,
minutes, seconds, etc. Perhaps ypu have heard of Babylonian Maths; perhaps
you know that miniutes and seconds also measure angles etc. So far all I
have got back is the maths of Babel.

PLEASE can the next reply be from someone who understands the question.



.

Relevant Pages

  • Re: Rotations - why are they not vectors
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  • Re: dotproduct rotations
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  • Re: How to calculate the angle between two images?
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  • Re: Rotational Symmetry
    ... all rotations around s_1 and all rotations around s_2. ... angle a_1 in a fixed sense, and, analogously, S is ... angle a_2 in a fixed sense. ...
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