At last I seem to have got some breakthrough. It turns out
that the mathematical results which I have been using for reference and for
comparing mine with (for a long time, after putting in much effort and
concentration and with quite too many unpleasant experiences, I might add… won’t
even go into the details) are themselves in error! This is unfortunate since not
only have they been published in a reputed journal but also
emanate from the PhD thesis work of a MIT graduate whose late supervisor was a person of high repute (http://www.usc.edu/dept/pubrel/trojan_family/autumn05/Aki.html).
Aah, do I hear you asking how I can be sure of it? Well, I found the ‘unreality’ of those
results mentioned (rather, exposed) in another research paper, let’s call it
007. And I managed to get a match between mine and 007’s supposedly error-free
results (the image below: cyan-colored curve is mine and the black one, 007’s).
Of course, it’s
possible that both mine and 007’s results are incorrect and I am committing a
sacrilege by questioning the PhD work’s integrity but it seems very unlikely at
this point – (1) The odds of both 007 authors and myself getting the same incorrect results worked out using completely different techniques are very small (2) One of the authors of 007 is the aforementioned late PhD advisor.
Imagine that!
I wish I could say I feel very sorry for the MIT graduate student
(i.e. when he was a graduate student, to be precise)… I somewhat do... but I have myself struggled a
lot at the cost of his errors, which I understand is probably not at all a result of his carelessness but simply a consequence of him being a human.
However, my first emotion
was indeed that of elation. From here on, I can progress at a faster pace.. But I don't feel much cheerful. I know that it’s a relatively
big achievement for me but I can’t help feeling a little anxious about the next
course of action. I have spent way too much time on this and that has put a
damper on any sense of celebration that I briefly had.
I hope things look more interesting from here on, though some
excitement does seem to be back.

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