AllJournalThesisConferenceNewspaperPatentStandardYear BookBook|ResearcherProject
all languages  Chinese Only  Other Languages
Author:Shigeru Arimoto
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2016, Vol.54 (1), pp.72-84Springer
Abstract:Abstract(#br)The Asymptotic Linearity Theorem, which proves the Fukui conjecture in a broader context, plays a significant role in the repeat space theory, which is the central unifying theory in the first and the second generation Fukui Project. Proving the Asymptotic Linearity ...
Author:Shigeru Arimoto , Mark Spivakovsky ...
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2012, Vol.50 (9), pp.2606-2622Springer
Abstract:Abstract(#br)The present article is part III of a series devoted to extending the Repeat Space Theory (RST) to apply to carbon nanotubes and related molecular networks. In this part III, four problems concerning the above-mentioned extension of the RST have been formulated. ...
Author:Shigeru Arimoto
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2012, Vol.50 (5), pp.1210-1223Springer
Abstract:Abstract(#br)The Asymptotic Linearity Theorem (ALT), which proves the Fukui conjecture in a broader context, plays a significant role in the repeat space theory (RST), which is the central unifying theory in the First and the Second Generation Fukui Project. Proving the Asym...
Author:Shigeru Arimoto
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2000, Vol.27 (3), pp.213-217Springer
Abstract:Abstract(#br)Two open questions concerning additivity problems in theoretical chemistry have been posed in this article. Each question involves swapping of the square root function (in the formula for the zero-point energy of a linear oscillator) with a highly irregular function....
Author:Shigeru Arimoto
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2009, Vol.46 (2), pp.586-591Springer
Abstract:Abstract(#br)Fukui’s DNA problem is a long-range target of the international and interdisciplinary joint project initiated by Kenichi Fukui in 1992, whose underlying motive has been to cultivate a new interdisciplinary region between chemistry and mathematics for a future de...
Author:Shigeru Arimoto , Paul G. Mezey
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 1994, Vol.16 (1), pp.93-114Springer
Abstract:Abstract(#br)A theoretical framework has been presented, which links two diverse molecular problems: the study of symmorphy transformations of molecular shape analysis (further developed in the present paper) and that of additivity of the zero-point vibrational energy of hydrocar...
Author:Shigeru Arimoto , Mark Spivakovsky ...
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2010, Vol.48 (3), pp.776-790Springer
Abstract:Abstract(#br)The present article is a direct continuation of the previous part III of this series of articles, which have been devoted to cultivating a new interdisciplinary region between chemistry and mathematics. In the present part IV, we develop two sets of fundamental ...
Author:Shigeru Arimoto
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2003, Vol.34 (3-4), pp.253-257Springer
Abstract:Abstract(#br)This note provides a chronological sketch of the development from the early 1990s of the Repeat Space Theory (RST), which had originated in the study of the zero-point energy additivity problems of hydrocarbons in 1985. Interacting with the theories of dynamical syst...
Author:Shigeru Arimoto , Mark Spivakovsky ...
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2011, Vol.49 (8), pp.1700-1712Springer
Abstract:Abstract(#br)The present article is a direct continuation of part IV of this series. The Local Analyticity Proposition (LAP1), which admits a proof via resolution of singularities is a major key to proving the Fukui conjecture via resolution of singularities and related meth...
Author:Shigeru Arimoto , Keith Taylor
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 1993, Vol.13 (1), pp.249-264Springer
Abstract:Abstract(#br)A theoretical device and a technique have been developed by which one can study, in a unifying manner, additive properties of hydrocarbons and the symmetric property of the spectrum of alternants. By using functionals introduced in the approach via the aspects of for...

Being retrieved, please wait for a moment...

International Cooperation:cnki.scholar@cnki.net, +86-10-82896619   Feedback:scholar@cnki.net

×