On Sat, Aug 11, 2012 at 4:21 AM, .arpis. <rpglover64+jbobau@gmail.com> wrote:

aionys, your tone in this message is no better,

"= ;... merely provokes a response to be equally dismissive of [Escape] /in ge= neral/."
=C2=A0

and you seem to be
ignoring the fact that there are arbitrary conventions in place for
determining that direction, even in the "purely mathematical"
definition you used.

You could say that, however, = regardless of which "arbitrary" conventions are used, which I now= dub the "reference frame", to graph an equation, it is possible = to devise an equation such that the tracing of it will result in a circle b= eing drawn counter-clockwise.

If we decided to use the Polar reference frame, for instance, the equat= ion is "r=3Dn, n=E2=88=88(-=E2=88=9E,0)=E2=88=AA(0,=E2=88=9E)".
The fact that a reference frame is needed to describe a direction onl= y proves that a reference frame is need to describe a direction. It does no= t prove that any such description is flawed or incorrect.
=C2=A0

On Sat, Aug 11, 2012 at 6:15 AM, Jonathan Jones <eyeonus@gmail.com> wrote:
> On Sat, Aug 11, 2012 at 2:08 AM, Escape Landsome <escaaape@gmail.com> wrote:
>>
>> >> "In a mathematical sense, a circle defined parametri= cally in a positive
>> >> Cartesian
>> >>
>> >> plane<htt= p://en.wikipedia.org/wiki/Cartesian_coordinate_system#Orientation_and_.22ha= ndedness.22>by
>> >> the equations
>> >> *x* =3D cos *t* and *y* =3D sin *t* is traced countercloc= kwise as *t*
>> >> increases
>> >> in value."
>> >>
>> >> That's pure math right there.
>>
>> Well, that's Wikipedia maths.
>>
>> In University and Ecole Normale, we are taught tensor algebra, whi= ch
>> clearly states that the notion of clockwise and counterclockwise i= s
>> arbitrary. =C2=A0 If the only thing you can oppose to me is a comm= onplace
>> cyclopedia collected by amateurs, and not the works of high-status=
>> mathematicians, then I consider you have contributed no critique a= t
>> all.
>>
>> Buy a book of high grade mathematics, and come back later.
>
>
> Your tone is dismissive and inflammatory, serves no useful or benefici= al
> purpose to anyone including yourself, and merely provokes a response t= o be
> equally dismissive of you /in general/.
>
> It doesn't matter what "grade" of math is being used. (A= nd by the way, it's
> not "Wikipedia maths". It's a parametric equation, which= is calculus. The
> fact that I found it on Wikipedia is incidental.) You asked for a pure= ly
> mathematical way of describing rotational motion that distinguishes co= unter-
> and clock-wise directions. I have done so.
>
>
> --
> mu'o mi'e .aionys.
>
> .i.e'ucai ko cmima lo pilno be denpa bu .i doi.luk. mi patfu do zo= 'o
> (Come to the Dot Side! Luke, I am your father. :D )
>

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--
mu'o mi'e .arpis.

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