REPLY TO THE COMMENT ON THE TRANSCENDENTAL METHOD

Authors
Citation
Sm. Perovich, REPLY TO THE COMMENT ON THE TRANSCENDENTAL METHOD, Journal of physics. A, mathematical and general, 28(14), 1995, pp. 4191-4200
Citations number
3
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
28
Issue
14
Year of publication
1995
Pages
4191 - 4200
Database
ISI
SICI code
0305-4470(1995)28:14<4191:RTTCOT>2.0.ZU;2-#
Abstract
Using an unconventional mathematical approach and analysis of the prec ision of solution by a new formula for the representation of number in the transcendental method, we indicate that the objection given in th e comment most probably shows a lack of understanding and misapprehens ion. Undoubtedly, the transcendental equation of the neutron slowing d own has an analytical closed-form solution. This solution is exact acc ording to the new closed-form representation of numbers with the desir ed accuracy. The numerical results, obtained for different magnitudes of the transcendental parameter B(u), support the validity and basic p rinciples of the transcendental method.