APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
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The Covid-19 and the defeat of conspiracy theories: the renewal of public faith in scientific research
Get PDFConspiracy theories integrate, connect and catalogue together what are clearly independent and unrelated events in order to demonstrate correlation and construct impossible, fabricated tales of causation (Bessi, et al., 2015). In a narrative sense, these extremely sophisticated stories are often very intriguing, and their diffusion comes about due to a legitimate desire to enrich the non-scientific literature available. In other cases, despite the cultural maturity of the Western world, conspiracy theories are promoted as real news, able to upset public opinion and to involve a part of the population in Pindaric flights. Moreover, in many cases the creators of these illogical conspiracies are held as suffragists of so-called ‘free thought’, departing from mainstream theories and opening up the mind of the population to new and elevated levels of comprehension of reality (Melley, 2000) and at the moment, the spread of Covid-19 produces a greater awareness of the societal role of the individual.
KCD indices and coindices of graphs
Get PDFThe relationship between vertices of a graph is always an interesting fact, but the relations of vertices and edges also seeks attention. Motivation of the relationship between vertices and edges of a graph has helped to arise with a set of new degree based topological indices and coindices named KCD indices and coindices. These indices and coindices are elaborated by establishing a set of properties. More fascinating results of some graph operations using KCD indices are developed in this article
Studies on A. Einstein, B. Podolsky and N. Rosen argument that “quantum mechanics is not a complete theory,” II: Apparent confirmation of the EPR argument
Get PDFIn1935, A.Einsteinexpressedhishistoricalview, jointly with B.Podolsky and N. Rosen, that quantum mechanics could be “completed” into a form recovering classical determinism at least under limit conditions (EPR argument). In the preceding Paper I, we have outlined the basic methods underlying the “completion” of quantum mechanics into hadronic mechanics for the representation of extended particles within physical media. In this Paper II, we study the isosymmetries for interior dynamical systems; we confirm the 1998 apparent proof that interior dynamical systems admit a classical counterpart; we confirm the 2019 apparent proof that Einstein’s determinism is progressively approached for extended particles in the interior of hadrons, nuclei and stars, while being fully achieved in the interior of gravitational collapse; and we show for the first time that the recovering of Einstein’s determinism in interior systems implies the removal of quantum mechanical divergencies. In the subsequent Paper III, we present a number of illustrative examples and novel applications in mathematics, physics and chemistry
Uniqueness of an entire function sharing fixed points with its derivatives
Get PDFThe uniqueness problems of an entire functions that share a nonzero finite value have been studied and many results on this topic have been obtained. In this paper we prove a uniqueness theorem for an entire function, which share a linear polynomial, in particular fixed points, with its higher order derivatives
On the planarity of line Mycielskian graph of a graph
Get PDFThe line Mycielskian graph of a graph G, denoted by Lμ(G) is defined as the graph obtained from L(G) by adding q+1 new vertices E' = ei' : 1 ≤ i ≤ q and e, then for 1 ≤ i ≤ q , joining ei' to the neighbours of ei and to e. The vertex e is called the root of Lμ(G). This research paper deals with the characterization of planarity of line Mycielskian Graph Lμ(G) of a graph. Further, we also obtain the characterization on outerplanar, maximal planar, maximal outerplanar, minimally nonouterplanar and 1-planar of Lμ(G).Keywords : Planar graph, Outerplanar, Maximal planar, Maximal outerplanar, Minimally nonouterplanar and 1-planar.2010 AMS subject classifications : 05C07, 05C10, 05C38, 05C60, 05C76
A note on α−irresolute topological rings
Get PDFIn [4], we introduced the notion of α−irresolute topological rings in Mathematics. This notion is independent of topological rings. In this note, we point out that under certain conditions an α−irresolute topological ring is topological ring and vice versa. We prove that the Minkowski sum A+B of an α−compact subset A ⊆ R and an α−closed subset B ⊆ R of an α−irresolute topological ring (R, =) is actually a closed subset of R. In the twilight of this note, we pose several questions which are worth
Origin of Matter and the outside of the Universe
Get PDFThis short paper is to provide answer to the question what is there outside the Universe? If the Universe is expending, what does it expend into? An answer was provided, the universe is expanding into its complementary universe. If that is so, then what the complementary universe is? A new perception is provided that matter exist as a logical state. What is the logical state creating matter? This question is being answered by the relationship between the universe and its complementary universe satisfying the equilibrium equation that total matter of both universes, the inner universe (our universe) and the complementary universe (everything which is not the inner universe e.g. the outside universe), collapse into zero, i.e. no matter. Furthermore, the existence of matter out of void is a logical state resulted from the void existence
Data of Covid-19 infection in Italy and mathematical models
Get PDFIn this paper I consider some data of Covid-19 infection in Italy from the 20th of February to the 29th of June 2020. Data are analyzed using some fits based on mathematical models. This analysis may be proposed to students of the last class of the Liceo Scientifico in order to debate a real problem with mathematical tools
A simple goodness-of-fit test for continuous conditional distributions
Get PDFThis paper presents a pragmatic specification test for conditional continuous distributions with uncensored data. We employ Monte Carlo (MC) experiments and the 2011 Medical Expenditure Panel Survey data to examine coverage and power to discern deviations from correct model specification in distribution and parameterization. We carry out MC experiments using 2000 runs for sample sizes 500 and 1000. The experiments show that the test has accurate coverage under correct specification, and that the test can discern deviations from correct specification in both the distributional family and parameterization. The power increases as sample size increases. The empirical example shows the test’s ability to identify specific distributions from other candidates using real cost data. Although the test can be used as a goodness-of-fit test for marginal distributions, it is particularly useful as an easy-to-use test for conditional continuous distributions, even those with one observation per pattern of explanatory variables
Minimal Hv-Fields
Get PDFHyperstructures have applications in mathematics and in other sciences, which range from biology, hadronic physics, leptons, linguistics, sociology, to mention but a few. For this, the largest class of the hyperstructures, the Hv-structures, is used. They satisfy the weak axioms where the non-empty intersection replaces equality. The fundamental relations connect, by quotients, the Hv-structures with the classical ones. Hv-numbers are elements of Hv-field, and they are used in representation theory. We focus on minimal Hv-fields