coordinate transformations formulas ... ?

[Janeks Kamerovskis]

Yes and I tested, that I can safely ignore those ..., because they have
realy small influence on result.
But the next problem is that I can get those example value for M an M0. They
are sligtly different for the given example (from EPSG quidance
http://www.epsg.org/guides/docs/G7-2.pdf) it differs by some cople of
thousands (5596050.46000000 5602234.40780535 and 5429228.60000000
5435961.03820551)
I checked many of the sources of Transverse Mercator formulas description
(EPSG of course and other) they all looked the same.
I checked my implementations of formulas not only twice, but the result is
the same.

Janeks
P.S. Sorry about looking like offtopic - you could ask why I need to
implement things that already has in proj4. I just have a case, when it is
difficult to use, but finaly data any way will come to Mapserver.

> -----Original Message-----
> From: UMN MapServer Users List [mailto:MAPSERVER-USERS at LISTS.UMN.EDU] On
> Behalf Of Stephen Woodbridge
> Sent: Wednesday, February 08, 2006 5:00 PM
> To: MAPSERVER-USERS at LISTS.UMN.EDU
> Subject: Re: [UMN_MAPSERVER-USERS] coordinate transformations formulas ...
> ?
> 
> The ... means "and additional terms following the sequence of the prior
> terms". It is basically a short hand notation for a summation of n to
> infinity. So you if you want more terms you need to first infer the
> sequence from the prior terms like [2, 4, 6, ...] is a sequence and the
> next terms are  8, 16, 32, ...
> 
> Each additional term adds some additional fractional accuracy to the
> computation, at some point the fractional accuracy is beyond the point
> that it is significant to to our uses.
> 
> If you calculate just the 3rd term and see how big its value is it will
> give you the magnitude of the change it is impacting on the equation and
> the next term in the sequence will tern to be significantly smaller.
> 
> -Steve W.
> 
> Janeks Kamerovskis wrote:
> >
> >
> > Hi list,
> >
> >
> >
> > What means those ... in the formula, that is part of coordinate
> > transformations formulas?
> >
> >
> >
> > M = a[(1 - e2/4 - 3e4/64 - 5e6/256 -....)j - (3e2/8 + 3e4/32 +
> > 45e6/1024+....)sin2j + (15e4/256 + 45e6/1024 +.....)sin4j - (35e6/3072 +
> > ....)sin6j + .....]
> >
> >
> >
> >
> >
> >
> >
> > brgds
> >
> > Janeks
> >
> >
> >