APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
Not a member yet
757 research outputs found
Sort by
Some characterizations of fuzzy comultisets and quotient fuzzy multigroups
Get PDFThe idea of fuzzy multisets has been applied to some group theoretic notions. Nonetheless, the notions of cosets and quotient groups have not been substantiated in fuzzy multigroup environment. The aim of this paper is to present the concepts of cosets and quotient groups in fuzzy multigroup context with some related results. To start with, the connection between fuzzy comultisets of fuzzy multigroups and the cosets of groups is established. Some characterizations of fuzzy comultisets are outlined with proofs. In addition, quotient fuzzy multigroup is proposed and some of its properties are explored. It is proven that a normal fuzzy multigroup of a fuzzy multigroup is commutative if and only if the quotient fuzzy multigroup is commutative. Finally, group theoretic isomorphism theorems are established in fuzzy multigroup setting
A logical framework for democratic decision-making: epistemic logic and liquid democracy
Get PDFSince Hintikka’s epistemic logic, the logic of knowledge, has been a subject of research in philosophy, computer science, artificial intelligence and game theory. This paper presents a framework of dynamic epistemic logic capable of investigating interactive voting decisions in liquid democracy
1918-2018: Cantor and infinity in today’s high school
Get PDFIn the first centenary of Cantor's death, we discuss how to introduce his life, his works and his theories about mathematical infinity to today's students.Keywords: proper and improper infinite, cardinal number, countable set, continuum, continuum hypothesis. SuntoNel primo centenario della scomparsa di Cantor, si discute come presentare la sua vita, le sue opere e le sue teorie sull’infinito agli studenti di oggi.Parole chiave: infinito proprio e improprio, numero cardinale, numerabile, continuo, ipotesi del continuo.
Linking Ontology, Epistemology And Research Methodology
Get PDFThe purpose of this paper is to offer insights that can help researchers to link ontology, epistemology and research methodology. This paper outlines the links among ontology, epistemology and research methodology by exploring ontological, epistemological and methodological perspectives in the research. It discusses how ontological and epistemological issues influence research methodology by providing a clear understanding for different research methodologies based on ontology and epistemology. Furthermore, attention is given to research aspects such as the elements of research process, research philosophy, research approach, research strategy, the choice of method, and research design
On commutativity of prime and semiprime rings with generalized derivations
Get PDFLet be a prime ring, extended centroid and are fixed integers. If admits a generalized derivation associated with a derivation such that or =0 for all , where is a nonzero ideal of , then either is commutative or there exist , Utumi ring of quotient of such that for all . Moreover, we also examine the case is a semiprime ring
Some critical remarks on the epistemology of functional magnetic resonance imaging (fMRI)
Get PDFThe article examines epistemological and ontological underpinnings of reasearch performed by means of magnetic resonance imaging (MRI) and functional magnetic resonance imaging (fMRI). It takes as its guiding line the important distinction between instruments and apparatuses drawn by Rom Harré. According to Harré, instruments such as barometers or thermometers do not cause the states they measure into existence. Apparatuses, in contradistinction, cause material states into existence to begin with, whereby theses states are subsequently processed (treated, measured, etc.) according to suitable methods (e.g. algorithms). Thus, when the objects of examination (human and animal brains, e.g.) are subjected to 2 or more Tesla in fMRI, a strength of magnetic field never occuring in earthly nature, technical means literally create the states to be examined (measured, graphically represented, etc.). Close examination of the functioning of MRI and fMRI indicates that brain states, e.g., are not simply read, or perceived (on screens) as degrees of temperature are read on scale. Hence, one does not see any mental funtion when looking at fMRI outputs, for the visible output has been semantically processed on the basis of invisible quantum mechanical processes that have undergone translations into digital data caused by the fMRI device itself
Agent-based modelling in environmental policy analysis
Get PDFThis paper is a summary of the research developed in the author’s Ph.D. programme. The case study deals with the implementation of Energy Efficiency policies in the Building sector of the Lazio Region and carries out an ABM analysis of the impacts of training on the social actors involved. Its purpose is to reproduce the social mechanisms through the study of the actors’ actions with ABM in order to evaluate socio-economic impacts by interconnecting the social and economic variables by means of the Social Accounting Matrix (SAM)
Insights in how computer science can be a science
Get PDFRecently, information retrieval is shown to be a science by mapping information retrieval scientific study to scientific study abstracted from physics. The exercise was rather tedious and lengthy. Instead of dealing with the nitty gritty, this paper looks at the insights into how computer science can be made into a science by using that methodology. That is by mapping computer science scientific study to the scientific study abstracted from physics. To show the mapping between computer science and physics, we need to define what is engineering science which computer science belongs to. Some principles and assumptions of engineering science theory are presented. To show computer science is a science, we presented two approaches. Approach 1 considers computer science as simulation of human behaviour similar to the goal of artificial intelligence. Approach 2 is closely related to the actual (scientific) activities in computer science, and this approach considers computer science based on the theory of computation. Finally, we answer some of the common outstanding issues about computer science to convince our reader that computer science is a science
Thermodynamic behavior of the polytropic gas in cosmology
Get PDFIn this paper, we investigate on the thermodynamic behavior of Polytropic gas as a candidate for dark energy by considering the relation P=KP^(1+1/n), where and are the Polytropic constant and Polytropic index respectively. Furthermore, indicates the pressure and is the energy density of the fluid such that where and represent the internal energy and volume, respectively. At first, we find an exact expression for the energy density of the Polytropic gas using thermodynamics and later on, discuss different physical parameters. Finally our study shows that the Polytropic gas may be used to describe the expansion history of the universe from the dust dominated era to the current accelerated era and it is thermodynamically stable
On homomorphisms from Cn to Cm
Get PDFIn this paper, using elementary algebra and analysis, we characterize and compute all continuous homomorphism from Cn to Cm. Also we prove that the cardinality of the set of all non-continous group homomorphism from Cn to Cm is at least the cardinality of the continuum