8 research outputs found
Mystery of the rational iteration arising from relaxed Newton’s method
No full textNewton's iterative method for finding solutions to nonlinear equations leads to some beautiful images when applied to complex functions. These images represent the basins of attraction of roots of complex functions. The interesting point about the basins of attraction for the roots of a complex function F approximated by relaxed Newton's method is that they are fractals called Julia sets of a rational function N-F,N-h. The main aim of the present paper is to describe such fractal sets. (c) 2006 Elsevier Ltd. All rights reserved
On Infinite Area for Complex Exponential Function
No full textThis paper shows via a reduced family of examples, the relaxed Newton's method is applied to complex exponential function F(z) = ze(z) and F(z) = ze(z2) the basin of roots has infinite area. In addition, we examined their computer pictures which are fractals for the relaxed Newton's basin. In fact, computer experiments F(z) = P(z)(ez) and F(z) = P(z)e(z2), indicate this to hold for arbitrary non-constant polynomial P(z). (C) 2004 Published by Elsevier Ltd
Finiteness of the Area of Basins of Attraction of Relaxed Newton Method for Certain Holomorphic Functions
No full textFor a nonconstant function F and a real number h is an element of] 0, 1] the relaxed Newton's method N-F,(h) of F is an iterative algorithm for finding the zeroes of F. We show that when relaxed Newton's method is applied to complex function F(z) = P(z)e(Q(z)), where P and Q are polynomials, the basin of attraction of a root of F has finite area if the degree of Q exceeds or equals 3. The key point is that N-F,(h) is a rational map with a parabolic fixed point at infinity
On Newton's method applied to real polynomials
No full textAgraïments: The first author would also like to thank the Ministerio de Ciencia y Innovacion of Spain for the financial support when visiting Boston University.It is known that if we apply Newton's method to the complex function F(z) = P(z)e Q(z), with deg(Q) > 2, then the immediate basin of attraction of the roots of P has finite area. In this paper we show that under certain conditions on P, if deg(Q) = 1, then there is at least one immediate basin of attraction having infinite area
Generating Special Curves for Cubic Polynomials
No full textAn algorithmic method is proposed to generate all cubic polynomials with a critical orbit relation. We generate curves (polynomials of parameters) that correspond to those functions with critical orbit relations. The irreducibility of the polynomials obtained is left as an open problem. Our approach also works to generate critical orbit relations in all families of rational functions with active critical points
Removal of lithium from aqueous solutions by solid-phase extraction using sawdust loaded with magnetite nanoparticles and study of apoptosis, MDA and 8-OHdG caused by lithium toxicity in fish brain
No full text© The Author(s) 2023.Lithium, which has a high industrial value, is an environmental pollutant of concern to those who work with lithium in industry as well as to the general public. Biological parameters such as MDA, 8-OHdG, apoptosis (caspase-3), and acetylcholinesterase (AChE) were studied to determine the toxic effects on the brain tissue of the model organism (Carassius auratus) exposed to high dose lithium. According to the results obtained, it was found that lithium exposure caused oxidative stress with an increase in MDA level over time and, accordingly, DNA damage and apoptosis occured in brain tissue. It was also found that a decrease in AChE activity was observed, and the high levels of MDA, 8-OHdG, and caspase-3 activity obtained in brain tissue supported this result. The solid phase extraction (SPE) method was used to effectively remove lithium, which has unfavorable effects on living organisms, from aqueous solutions. In this method, a sawdust loaded with magnetite nanoparticles (MNLS) was prepared as an adsorbent for solid phase extraction by a simple method, and it was characterized. Optimal conditions for the SPE process were defined and it was found that lithium could be removed from solution onto the MNLS surface with a high yield of about 96%. The results of the study are crucial for proposing a simple and applicable high performance method
Cinema studies: Different perspectives
No full textPREFACE
Cinema Studies: Different Perspectives is essential reading for anyone interested in cinema discipline. The singular aim of this edited book of scholarly text is to stimulate and engage readers in the fast-changing, complex, and increasingly interdisciplinary nature of cinema studies, and to serve as a catalyst for future intellectual, academic, and professional-driven research agendas. It is believed that the integration of cinema studies with other disciplines will undoubtedly contribute to the development of the cinema field both in practice and in theory.
Therefore, each chapter of this book, which consists of 9 chapters, focuses on a sub-discipline such as advertising, new media, journalism, philosophy, technology, politics, and tourism. Each chapter concentrates on specific facets of cinema studies with different sub-disciplines by offering valuable insights for industry professionals, academicians, and students who want to excel in important aspects of cinema in the movie industry. A summary of the chapters included in this timely book is discussed below.
Chapter 1, by Semire Ruken Öztürk and Ali Karadoğan, provides a comprehensive literature analysis of cinema censorship evaluations in Turkey between 1985 and 1987. The films made in this period were analyzed under ten themes. These are sexuality; distorted image; reasons related to security forces; bad language; reasons for the title of the film; political reasons, other states, nations, or Atatürk; the Turkish flag; father, family, traditions, customs; drugs, suicide; and newspapers.
Chapter 2, by Doğa Çöl, explores the possibility of Plato’s diegesis through the moving image. This chapter mainly aims to question the possibility of a purely diegetic film and determines the significance of inquiring about such a work. For this, the author stresses understanding what Plato thinks of poetry in general, especially the difference between diegetic and mimetic poetry. Then the author stresses defining the film and comparing it with Plato’s diegesis and see if they are compatible. Consequently, the author questions whether the naming of a concept or, in this case, an artwork is valuable.
Chapter 3, by Burak Turten, determines audience acceptance of virtual reality (VR) films by analyzing the perceived benefits and risks based on the technology acceptance model (TAM) with thematic analysis. More specifically, it first provides the definition of virtual reality and then discusses its benefits and risks based on TAM for cinema audiences by providing examples from virtual reality in the cinema industry.
Chapter 4, by Gülsüm Çalışır and Armağan Bayrak, focuses on streaming platforms as a new generation of broadcasting. It mainly examines to answer why audiences prefer new generation streaming platforms and how ad-free content affects the popularity of these platforms. The authors stress the fact that these platforms offer more variety than traditional broadcast platforms, including local and global content, and direct the consumption habits of the audiences.
Chapter 5, by Kürşad Gölgeli, concentrates on the evolution of advertising in interactive movies and video games. It mainly examines current and potential changes in the relationship between advertising, movies, and video games. In this context, it evaluates the role of new media, interaction in movies and video games, marketing innovations, and advertising in the digital world.
Chapter 6, by Ersin Diker and Şeyma Kara, explores cinema advertisement and assesses the significance and evaluations of cinema advertisement. More specifically, the chapter examines how movie-going practices of cinema audiences in Turkey and how audience attitudes towards cinema advertisements differ in terms of some socio-demographic variables.
Chapter 7, by Ayşegül Çilingir and Nilay Akgün Akan, finds out the advertisement reflections of animated movies. It mainly aims to explore to what extent the surfaces and contents in the animated films are reflected in the ads within a specified period and to determine how the features that co-exist in the animation film and ad are created with the coding scale used.
Chapter 8, by Ahmet Biçer and Kadir Macit, mainly focuses on how journalism is represented in cinema. More specifically, this chapter analyzes the discourses produced about journalism in the context of criticism-evaluation-themed Journalism in Cinema in the November 2021 issue of Altyazı. In line with its subject and objective, the study briefly covers the literature and discussions on Journalism in Cinema and Cinema Magazines under different headings.
Chapter 9, by Aysegül Acar, examines the topic of film-induced tourism, the benefits, and disadvantages of film-induced tourism for the destination, and film-induced tourism products, together with the future directions of film-induced tourism in the field. The chapter offers suggestions to local governments and the film and tourism industry on how filmmaking can create new attractions for a destination.
I would like to thank Karabük University and Northern Arizona University for giving me the opportunity to contribute to the development of the cinema discipline. I especially thank Dr. Frederick DeMicco, who has created conducive and stimulating scholarly environments.
I am grateful to Dr. Muhittin Cavusoglu who compiled the index, for assistance. I also wish to record his enormous gratitude to Dr. Ayşegül Acar who has worked tirelessly on this project, for her generous support, patience, and assistance throughout the process.
In conclusion, I would also like to thank all authors who contributed to the production of this essential and timely book. I believe the chapters included in this book offer useful and important information for researchers, students, and practitioners in the context of cinema and related disciplines.
Editor
Burak Turte
Clinical and molecular evaluation of MEFV gene variants in the Turkish population: a study by the National Genetics Consortium
No full textFamilial Mediterranean fever (FMF) is a monogenic autoinflammatory disorder with recurrent fever, abdominal pain, serositis, articular manifestations, erysipelas-like erythema, and renal complications as its main features. Caused by the mutations in the MEditerranean FeVer (MEFV) gene, it mainly affects people of Mediterranean descent with a higher incidence in the Turkish, Jewish, Arabic, and Armenian populations. As our understanding of FMF improves, it becomes clearer that we are facing with a more complex picture of FMF with respect to its pathogenesis, penetrance, variant type (gain-of-function vs. loss-of-function), and inheritance. In this study, MEFV gene analysis results and clinical findings of 27,504 patients from 35 universities and institutions in Turkey and Northern Cyprus are combined in an effort to provide a better insight into the genotype-phenotype correlation and how a specific variant contributes to certain clinical findings in FMF patients. Our results may help better understand this complex disease and how the genotype may sometimes contribute to phenotype. Unlike many studies in the literature, our study investigated a broader symptomatic spectrum and the relationship between the genotype and phenotype data. In this sense, we aimed to guide all clinicians and academicians who work in this field to better establish a comprehensive data set for the patients. One of the biggest messages of our study is that lack of uniformity in some clinical and demographic data of participants may become an obstacle in approaching FMF patients and understanding this complex disease
