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Re: IEEE Std.1788, inner operations, MD-RDM-IA, the Laws of Motion



Dear Mehran

On 19 Oct 2015, at 21:55, Mehran Mazandarani <me.mazandarani@xxxxxxxxx> wrote:
> In the new presentation, the file IC-3.mp4 , the three approaches, IEEE Std.1788 2015, Inner operations, and Multidimensional RDM interval arithmetic are examined by the laws of motion.

As a skeptical (and probably obstinate) mathematician, I still feel you are not clear enough about concepts, so you are confusing us, and maybe also yourself. It still seems to me you are re-discovering the well-known dependency problem. If you are making the point that naive "one operation at a time" computing can never overcome this problem, I think we would all agree with you. To solve it, you need to argue at a higher mathematical level before you start doing arithmetic.

Could you please give a *definition* of the terms
  restoration issue,
  self-reduction issue?
Something like "In some general situation XXX, if we want to compute YYY and we actually get ZZZ, that's the restoration issue". Trying to define them by example is not sufficient.

Also, I support what Walter Mascarenhaus said: program this approach as software -- a simple prototype will do, say in Matlab -- and let's see how useful it is.

Regards

John Pryce