AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary
The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.
Authors: AYSE HUMEYRA BILGE, YUNUS OZDEMIR.
DOI: 10.24193/subbmath.2020.1.07
Published Online: 2020-03-06
Published Print: 2020-03-30
pp. 77-91
VIEW PDF: FULL PDF
ABSTRACT: Let $y(t)$ be a monotone increasing curve with $displaystyle lim_{t o pminfty}y^{(n)}(t)=0$ for all $n$ and let $t_n$ be the location of the global extremum of the $n$th 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 cite{BP2013}.
Key words: Sigmoidal curve; critical point; Fourier transform; Hilbert transform
