Destiny, Being and the Empirical Law of Large Numbers

The aim of this paper is to give a practical meaning to the term ”possible”, which can then become a useful reading key to attempt to decipher the nature and functioning of the so-called Being, that is, of being-in-itself, of the reality implied, of what there is behind what it is. Thanks to this hermeneutic tool together with the singular existential experience of Mister Tanat`o, the imaginary protagonist of this treatment, we will interpret the Being as all that is pre-destined - that is, as the set of fundamental conditions for (there to be) such being [essente] or nothingness - and sensitive reality as all that is destined - that is, as the rotation of the guided evolutions of the Being -. Finally, to confirm and investigate the results we have achieved, we will provide a solution both to the hypothetical paradox of prediction, in which the apparent antinomy lies in admitting that predictions can be subsequently falsified, and to an interesting probabilistic problem.

Mathematical models for simulating Covid-19 contagion in Italy: first wave

In this paper, we provide two approximating functions for some dynamics associated with the first wave of Covid-19 contagion in Italy. We consider also two particular cases of Sicily and Lombardy. We consider only the evolution of total infected cases and new daily cases. We show that the total infected cases need, in the time period considered, two different approximations. We approximate the daily infected curves by the first derivative of the above two functions. In the case of Lombardy, we consider a wider time interval to obtain an ultimate approximation.

Effect of science in the relation between firms' technological diversification and innovation performance

Several studies have analyzed the relationship between the firms’ technological diversification and the innovation performance outcomes. We use information coming from patents portfolio of a sample of firms that operate in a nanotechnology sector and analyze the effect, in this relationship, of the use of scientific knowledge in the development of patented inventions. We find, firstly, that the trend of the quality of innovation with the technological diversification of a firm appears similar to a Gaussian with positive asymmetry. Secondly, we find that with the increase in the percentage of the used science by year, in one side, firms appear to obtain the maximum impact of the innovation, in average, with a less technological diversification in the patent’s portfolio and, in the other side, innovations with more impact are obtained in average.

Lecture notes of Relativistic Mechanics: Worldlines, times and velocities of a particle

In these notes, we define and study some concepts from Special Relativistic Mechanics, in a differential geometric perspective. Our approach allows us to revisit and rethink some basic theoretical structures, in a way that reveals more feasible to developments in various directions, in particular in view of a better integration with Quantum Mechanics.

A business-cycle model with a modified cash-in-advance feature, government sector and one-period nominal wage contracts: the case of Bulgaria

A business-cycle model with a modified cash-in-advance feature, government sector and one-period nominal wage contracts: the case of Bulgaria

An introduction to S Bases in S Linear Algebra

In this lecture note we define the S bases for the spaces of tempered distributions.These new bases are the analogous of Hilbert bases of separable Hilbert spaces for the continuous case (they are indexed by m-dimensional Euclidean spaces) and enjoy properties similar to those shown by algebraic bases in the finite dimensional case.The S bases are one possible rigorous and extremely manageable mathematical model for the "physical" bases used in Quantum Mechanics.

On a Theoretical Analysis of the Family and Economic Growth

The paper considers the prospects of constructing theoretical postulates on the family that is consistent with some of the main features of economic growth. Theoretical abstraction of the parameters involved based on the intergenerational dynastic model is analyzed and compared to evidence. Descriptive and analytical technique were employed in analyzing the model. Nonmarket productivity levels and their effect on initial human capital endowment of households were also considered.

Insurance-markets Equilibrium with a Non-convex Labor Supply decision, Unobservable Effort, and Incentive ("Fair") Wages

The purpose of this note is to describe the lottery- and insurance-market equilibrium in an economy with non-convex labor supply decision, unobservable effort, and incentive ("fair") wages. The presence of indivisible labor creates a market incompleteness, which requires that an insurance market for employment be put in operation to "complete" the market.

Critical notes about Noether's theorem (Part I)

In this brief critical notes, we state and prove the classic Noether's theorem, in a language and in the mood of modern Differential Geometry. This modern approach, on one hand, wants to stimulate a dialogue between the classic Noether's theorem version users and the modern differential geometry developers, on the other hand, it opens the way for some extensions of the theorem, with possible physical insights about the matter.

Some thoughts on the Goldbach’s Conjecture (Part II)

This work aims at formulating considerations to demonstrate the Goldbach's Conjecture by using a demonstration process by far easier than the usual attempts already present in literature.