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dc.contributor.authorBilge, Ayşe Hümeyra
dc.contributor.authorÖzdemir, Yunus
dc.date.accessioned2020-06-08T19:37:57Z
dc.date.available2020-06-08T19:37:57Z
dc.date.issued2020
dc.identifier.issn0252-1938en_US
dc.identifier.issn2065-961Xen_US
dc.identifier.urihttps://hdl.handle.net/20.500.12469/2894
dc.identifier.urihttps://doi.org/10.24193/subbmath.2020.1.07
dc.description.abstractLet y(t) be a monotone increasing curve with lim(t ->+/-infinity) y((n))(t) = 0 for all n and let t(n) be the location of the global extremum of the nth derivative y((n))(t). Under certain assumptions on the Fourier and Hilbert transforms of y(t), we prove that the sequence {t(n)} is convergent. This implies in particular a preferred choice of the origin of the time axis and an intrinsic definition of the even and odd components of a sigmoidal function. In the context of phase transitions, the limit point has the interpretation of the critical point of the transition as discussed in previous work [3].en_US
dc.language.isoengen_US
dc.publisherBabeș-Bolyai Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSigmoidal curveen_US
dc.subjectCritical pointen_US
dc.subjectFourier transformen_US
dc.subjectHilbert transformen_US
dc.titleThe critical point of a sigmoidal curveen_US
dc.typearticleen_US
dc.identifier.startpage77en_US
dc.identifier.endpage91en_US
dc.relation.journalArama Sonuçları Web sonuçları Studia Universitatis Babeș-Bolyai Mathematicaen_US
dc.identifier.issue1en_US
dc.identifier.volume65en_US
dc.departmentFakülteler, Mühendislik ve Doğa Bilimleri Fakültesi, Endüstri Mühendisliği Bölümüen_US
dc.identifier.wosWOS:000519568800007en_US
dc.identifier.doi10.24193/subbmath.2020.1.07en_US
dc.identifier.scopus2-s2.0-85084254946en_US
dc.institutionauthorBilge, Ayşe Hümeyraen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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