157 resultados para Fractional Laplace and Dirac operators
Resumo:
The study of electricity markets operation has been gaining an increasing importance in the last years, as result of the new challenges that the restructuring process produced. Currently, lots of information concerning electricity markets is available, as market operators provide, after a period of confidentiality, data regarding market proposals and transactions. These data can be used as source of knowledge to define realistic scenarios, which are essential for understanding and forecast electricity markets behavior. The development of tools able to extract, transform, store and dynamically update data, is of great importance to go a step further into the comprehension of electricity markets and of the behaviour of the involved entities. In this paper an adaptable tool capable of downloading, parsing and storing data from market operators’ websites is presented, assuring constant updating and reliability of the stored data.
Resumo:
The study of Electricity Markets operation has been gaining an increasing importance in the last years, as result of the new challenges that the restructuring produced. Currently, lots of information concerning Electricity Markets is available, as market operators provide, after a period of confidentiality, data regarding market proposals and transactions. These data can be used as source of knowledge, to define realistic scenarios, essential for understanding and forecast Electricity Markets behaviour. The development of tools able to extract, transform, store and dynamically update data, is of great importance to go a step further into the comprehension of Electricity Markets and the behaviour of the involved entities. In this paper we present an adaptable tool capable of downloading, parsing and storing data from market operators’ websites, assuring actualization and reliability of stored data.
Resumo:
In the light of Portuguese legal system, cooperative enterprises may include an enterprise carried out by a subsidiary, provided they conform to certain requirements. The aim of this paper is to reflect on the issue of the legal framework of the relationship between the cooperative and the subsidiary. There are several problems to be addressed in this paper: (i) How to qualify such a relationship since corresponding to mere investments made by the cooperative? Should it be classified as non-member cooperative transactions or as extraordinary activities? (ii) How to qualify such a relationship when related to the development of preparatory or complementary activities for the economic activity developed between the cooperative and its members? May we speak, in this situation, of a concept of “indirect mutuality”, as provided in other legal systems? (iii) How should we classify and what is the regime of the economic results from the activity developed by the subsidiary? We will conclude, advocating: (i) That the cooperative enterprise may include an enterprise carried out by a subsidiary if this is deemed necessary to satisfy the interests of the members; (ii) The inadmissibility of the concept of “indirect mutuality”; (iii) The inadequacy of qualifying the legal relationship between the cooperative partner (iv) The application, to the economic results coming from the activity developed by the subsidiary, of the regime provided for in the Portuguese Cooperative Code to the results from non-member cooperative transactions; (v) The economic results coming from the activity developed by the subsidiary cannot be appropriated by individual co-operators members, and so should be allocated to indivisible reserves.
Resumo:
The local fractional Poisson equations in two independent variables that appear in mathematical physics involving the local fractional derivatives are investigated in this paper. The approximate solutions with the nondifferentiable functions are obtained by using the local fractional variational iteration method.
Resumo:
This paper formulates a novel expression for entropy inspired in the properties of Fractional Calculus. The characteristics of the generalized fractional entropy are tested both in standard probability distributions and real world data series. The results reveal that tuning the fractional order allow an high sensitivity to the signal evolution, which is useful in describing the dynamics of complex systems. The concepts are also extended to relative distances and tested with several sets of data, confirming the goodness of the generalization.
Resumo:
This paper analyses forest fires in the perspective of dynamical systems. Forest fires exhibit complex correlations in size, space and time, revealing features often present in complex systems, such as the absence of a characteristic length-scale, or the emergence of long range correlations and persistent memory. This study addresses a public domain forest fires catalogue, containing information of events for Portugal, during the period from 1980 up to 2012. The data is analysed in an annual basis, modelling the occurrences as sequences of Dirac impulses with amplitude proportional to the burnt area. First, we consider mutual information to correlate annual patterns. We use visualization trees, generated by hierarchical clustering algorithms, in order to compare and to extract relationships among the data. Second, we adopt the Multidimensional Scaling (MDS) visualization tool. MDS generates maps where each object corresponds to a point. Objects that are perceived to be similar to each other are placed on the map forming clusters. The results are analysed in order to extract relationships among the data and to identify forest fire patterns.
Resumo:
This paper starts by introducing the Grünwald–Letnikov derivative, the Riesz potential and the problem of generalizing the Laplacian. Based on these ideas, the generalizations of the Laplacian for 1D and 2D cases are studied. It is presented as a fractional version of the Cauchy–Riemann conditions and, finally, it is discussed with the n-dimensional Laplacian.