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



Dear Std.1788 members and IC members
First of all let me thank John, Walter, Evgenija, and Svetoslav for kind attentions and advice.
My workload was too high and I couldn't reply earlier, so sorry for that.
John and others told that what I sent - IC-2[corrected version].pdf -  for explaining differences between approaches was not clearly. That's why I prepared another one for clarifying the matter, and put on the table .
Please bear in mind what Isaac Newton figured out more than 300 years ago - The Laws of Motion.
I guess we should take a glance to the nature for almost whatever we do in mathematics.
I mean the mathematics and its theories or discoveries should have emerged in real world or in the nature.
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. Simply put, the approaches are examined using the nature/real world. Please see the attachment.
As is seen, the IEEE Std.1788 is in violation of the third law of motion, and Inner operations are in violation of second law of motion, whereas the Multidimensional RDM interval arithmetic preserves the Laws of motion.
Indeed, the cancelMinus/cancelPlus approach could not either handle the limitations of Inner operations.

In the next step I am going to show that how capable MD-RDM-IA is of dealing with Newton's method for solving a 1-D nonlinear system.

I appreciate you kind consideration in advance.

Comments are welcome.

Warmest regards,


Mehran Mazandarani
Department of Electrical Engineering
Ferdowsi University of Mashhad, Mashhad, Iran.
homepage:http://mehran.mazandarani.fumblog.um.ac.ir/
http://works.bepress.com/mehran_mazandarani
IEEE Member, me.mazandarani@xxxxxxxx










Attachment: IC-3.mp4
Description: video/mp4