coordinate transformations formulas ... ?
Stephen Woodbridge
woodbri at SWOODBRIDGE.COM
Wed Feb 8 06:59:31 PST 2006
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
>
>
>
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