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Parameter estimation of p-dimensional Rayleigh distribution under weighted loss function
Get PDFIn this paper, p-dimensional Rayleigh distribution is considered. The classical maximum likelihood estimator has been obtained. Bayesian method of estimation is employed in order to estimate the scale parameter of p-dimensional Rayleigh distribution by using quasi and inverted gamma priors. The Bayes estimators of the scale parameter have been obtained under squared error and weighted loss functions
Helix hyperoperation in teaching research
Get PDFInteraction between sciences has always been an optimum. Within this frame of interdisciplinary approach, an attempt is made to apply a method, a mathematical model, used in the Hyperstructure Theory, in teaching and research procedure. More specifically, when dealing with a great amount of data arranged in a ‘linear’ disposal, it is quite difficult to teach. This is the case when the Helix Model is suggested to be used. With the Helix Model, every single piece of data is present and every element maintains its independence
Trust and ethics: ambivalent foundations of relationship and sui generis forms of gift
Get PDFIs there a circular relationship between trust and ethics? Is it possible to alter their relationship, changing the perception that social actors have of them? How has trust changed in the transition from modernity to post-modernity and how does it change in times of crisis?Starting from the epistemological assumption that progress in the social sciences is determined by the change in the theoretical horizon produced by “a reformulation of metaphysical assumptions”[1] and combining this path with the relational perspective, according to which “not the facts, but the relationship between the facts is what requires analysis”[2], we will examine definitions, meanings, functions and relationships between trust and ethics. Following the theoretical logical method, we will understand that trust and ethical behaviour are particular forms of gift[3] that co-own each other.As such, they are ambivalent in nature and their circle can also produce dysfunctional outcomes that depend on the ability of social systems to modify collective perceptions through forms of communication, in the awareness that distrust constitutes an ineliminable and, paradoxically, preparatory element for the restoration of the trust circle.The relational circle between gift, trust, collective ethics and personal morality does not end with distrust, but changes in a contingent way, determining perverse effects: correct behaviour could produce, unintentionally, a disaster; incorrect actions could generate unforeseen positive effects.The perverse effects cannot be defined as exceptional - as is believed in the theory of rational choice - but recurrent because daily practices are marked by an intuitive, emotional and moralistic trust circle that prevails over logical reasoning, as ascertained by both relational theory and behavioural economics. Functionalist paradigms cannot engineer and optimise the performance of trust. [1] See J. Alexander's strong programme in S. Segre, Le teorie sociologiche contemporanee, Carocci, Rome, 2019, p. 12. It is not enough to observe reality, it is necessary to interpret it, taking into account theories and traditions whose foundations have a metaphysical character.[2] F. Ferrarotti, La sociologia come analisi critica della società, in R. Cipriani (a cura di), Nuovo Manuale di Sociologia, Maggioli, Sant’Arcangelo di Romagna, 2018 p. 24.[3] The classical meaning in M. Mauss, Essai sur le don. Forme et raison de l'échange dans les sociétés archaïques, 1ª ed. 1925, revisited by G. Satta, L’ambiguità del dono. Note su dono, violenza e potere nell’Essai di Mauss, in V. Rasini, Aggressività. Un’indagine polifonica, Mimesis, Milano 2011
Studies on A. Einstein. B. Podolsky and N. Rosen argument that “quantum mechanics is not a complete theory,” III: Illustrative examples and applications
Get PDFIn the preceding Papers I and II of this series, we have presented a review and upgrade of basic mathematical, physical and chemical methods, and provided a confirmation of the apparent proof of the EPR argument [1] that extended particles within physical media (interior dynamical problems) admit classical counterparts [9], while Einstein’s determinism appears to be progressively verified with the increase of the density of the medium [10]. In this third and final paper of the series, we shown that the EPT argument in general, and Einstein’s determinism in particular, appear to be progressively verified in the structure of mesons, baryon, nuclei, and molecular bonds while being fully verified at the limit of gravitational collapse. We additionally show, apparently for the first time, the validity of the EPR final statement to the effect that the wavefunction [of quantum mechanics] does not provide a complete description of the physical reality” since the covering isowavefunctions of hadronic mechanics provide an otherwise impossible representation of all characteristics of various physical and chemical interior systems existing in nature.
Updating Statistical Measures of Causal Strength
Get PDFWe address Northcott’s (2005) criticism of Pearson’s correlation coefficient ‘r’ in measuring causal strength by replacing Pearson’s linear regressions by nonparametric nonlinear kernel regressions. Although new proof shows that Suppes’ intuitive causality condition is neither necessary nor sufficient, we resurrect Suppes’ probabilistic causality theory by using nonlinear tools. We use asymmetric generalized partial correlation coefficients from Vinod [2014] as our third criterion (denoted as Cr3) in addition to two more criteria (denoted Cr1 and Cr2). We aggregate the three criteria into one unanimity index, UI in [-100; 100], quantifying causal strengths associated with causal paths: Xi -> Xj , Xj -> Xi, and Xi Xj
On homomorphism of fuzzy multigroups
Get PDFIn this paper, the homomorphism of fuzzy multigroups is briefly delineated following [2] and their corresponding isomorphism theorems are considered
Teaching as a decision-making model: strategies in mathematics from a practical requirement
Get PDFThe need in the current social context to adopt teaching methods that can stimulate students and lead them towards autonomy, awareness and independence in studying could conflict with the needs of students with specific learning disorders, especially in higher education, where self-learning and self-orientation are required. In this sense, the choice of effective teaching strategies becomes a decision-making problem and must therefore be addressed as such. This article discusses some mathematical models for choosing effective methods in mathematics education for students with specific learning disorders. It moves from the case study of a student with specific reading and writing disorders enrolled in the mathematical analysis course 1 of the degree course in architecture and describes the personalized teaching strategy created for him
Uniqueness of an entire function sharing a polynomial with its linear differential polynomial
Get PDFIn this paper we consider an entire function when it shares a polynomial with its linear differential polynomial. Our result is an improvement of a result of P. Li
The logical perception of the pure consciousness
Get PDFDoes pure consciousness exist without being hooked to a physical mechanism (e.g. human body)? Can such claim be proven logically? The magnitude of asking this sort of question is similar to asking: Is it logical that matter exists out of the total void? The answer to both questions is yes. The aim of this paper is to show that, the existence of pure consciousness is a logical state, it is not energy, and it exists timelessly and can be experienced beyond the physical body. Furthermore, we show that pure consciousness (the soul) is a virtual junction on the metaphysical virtual net where each junction incorporates a set of cords of consciousness. The set can be limited, unlimited or uncountable. Cords of consciousness is treated as brain neural patterns and as such the brain can easily be manipulated by an external device which may transmit neural patterns in order to generate artificial scenes. A computation example was provided to elaborate the neural patterns and cords of consciousness. Finally, we discuss the opportunity rather than the possibility to visit the metaphysical virtual space. In that sense, if it is possible, should we grab the opportunity and expend our science beyond physics, into the metaphysics
A mathematical assessment on the ontology of time.
Get PDFIn this work, we develop and propose an ontological formal definition of time, based on a topological analysis of the formal mathematical description of time, coming from approaches to both quantum theories and Relativity; thus, being compatible with all physical epistemological theories. We find out a mathematical topological invariability, thus establishing a rigorous definition of time, as fundamental generic magnitude. Very preliminary analysis of physical epistemology is provided; likely highlighting a path towards a final common vision between Quantum and Cosmology ontology and human feeling of time