130,935 research outputs found
Giurisprudenza costituzionale, Corte e poteri: un aprospettiva unitaria
No full textIl contributo riguarda una ricostruzione dell'apporto scientifico di Sergio Bartole, in occasione della pubblicazione di una antologia dei suoi scritti, in relazione alla giustizia costituzionale. In questa prospettiva vengono ricostruite una serie di elaborazione dottrinarie che si devono all'Autore con riguardo all'evoluzione della giustizia costituzionale a partire dagli anni '70 sino ad arrivare al periodo più attuale
Identities for Catalan’s Constant Arising from Integrals Depending on a Parameter
No full textIn this paper we provide some relationships between Catalan’s constant and the 3F2 and 4F3 hypergeometric functions, deriving them from some parametric integrals. In particular, using the complete elliptic integral of the first kind, we found an alternative proof of a result of Ramanujan for 3F2, a second identity related to 4F3 and using the complete elliptic integral of the second kind we obtain an identity by Adamchik
Probability of digits by dividing random numbers: a psi and zeta functions approach
No full textThis paper begins with the statistics of the decimal digits of n/d with n, d randomly chosen. Starting with a statement by E. Cesàro on probabilistic number theory we evaluate, through the Euler psi function, an integral appearing there. Furthermore the probabilistic statement itself is proved, using a different approach.The theorem is then generalized to real numbers (Theorem 1) and to the alpha-th power of the ratio of integers (Theorem 2), via an elementary approach involving the psi function and the Hurwitz zeta function. The article provides historic remarks, numerical examples, and original theoretical contributions: also it complements the recent renewed interest in Benford's law among number theorists
Psychopharmacology of headache and its psychiatric comorbidities
No full textThe association between psychiatric disorders and headache is widely recognized, even though the explanation of likely mechanisms is yet speculative. The most common comorbid associated disorders are depressive (DD), anxiety (AD), and bipolar disorders (BD). Treatments options comprise pharmacologic therapies, psychologic therapies, other nonpharmacologic therapies, and combinations of them. To the best of our knowledge, no evidence-based guidelines exist regarding pharmacotherapy for DD, BD, and/or AD in patients with headache. When pharmacologic therapies are the choice for a psychiatric disorder comorbid with headache, an accurate psychiatric history is needed. Prescriptions of pharmacologic therapies for DD, BD, and AD need to take into account all the other therapies or psychoactive substances used by the subjects. The therapies for subjects with DD, AD, and BD can be very challenging and a strict collaboration among neurologists and psychiatrists is highly advisable
A Structural Approach to Gudermannian Functions
No full textThe Gudermannian function relates the circular angle to the hyperbolic one when their cosines are reciprocal. Whereas both such angles are halved areas of circular and hyperbolic sectors, it is natural to develop similar considerations within the study of a class of curves images of maps with constant areal speed. After a brief exposition of some use of the Gudermannian in applied sciences, we proceed to illustrate the class of curves, called Keplerian curves, which can be parametrised by a map m= (cos m, sin m) whose areal speed is 1. In the next Sections, after a detailed study of p-circular and hyperbolic Fermat curves Fp and Fp∗ , we define the p-Gudermannian as the primitive of the derivative of the p-hyperbolic sine divided by the square of the p-hyperbolic cosine: all the analogues of the classical identities are proven. Having realised that such curves correspond to each other by means a homology, we extend our study to a wide class of Keplerian curves and their homologues; once again, defined the Gudermannian in an identical manner, all the analogues of classical identities subsist. Below, three examples are detailed. The last paragraph further extends this consideration, eliminating the hypothesis that the curves are parametrised by maps with areal speed 1. The Appendix illustrates integrating techniques for systems defining the Fermat curves and determining the inverse of their tangent function
Mathematical properties of EOQ models with special cost structure
No full textAn existence-uniqueness theorem is proved about a minimum cost order for a class of inventory models whose holding costs grow according to a stock level power law. The outcomes of Mingari Scarpello and Ritelli (2008) [1] are then extended to different environments: i.e., when the holding costs change during time generalizing a model available in Weiss (1982) [11], or with invariable holding costs but adopting a backordering strategy. Application cases are provided assuming several functional behaviors of demand versus the stock level. © 2012 Elsevier Inc
Keplerian trigonometry
No full textTaking the hint from usual parametrization of circle and hyperbola, and inspired by the pathwork initiated by Cayley and Dixon for the parametrization of the “Fermat” elliptic curve x3+ y3= 1 , we develop an axiomatic study of what we call “Keplerian maps”, that is, functions m(κ) mapping a real interval to a planar curve, whose variable κ measures twice the signed area swept out by the O-ray when moving from 0 to κ. Then, given a characterization of k-curves, the images of such maps, we show how to recover the k-map of a given parametric or algebraic k-curve, by means of suitable differential problems
Mathematical properties of EOQ models with special cost structure
No full textAn existence-uniqueness theorem is proved about a minimum cost order for a class of inventory models whose holding costs grow according to a stock level power law. The outcomes of G. Mingari Scarpello, D. Ritelli, EOQ when holding costs grow with the stock level: well-posedness and solutions, Advanced Modeling and Optimization, 10 (2) (2008) 233-240. are then extended to different environments: i.e. when the holding costs change during time generalizing a model available in H.J. Weiss, Economic Order Quantity Models with Nonlinear Holding Costs, European Journal of Operational Research 9 (1) (1982) 56-60., or with invariable holding costs but adopting a backordering strategy. Application cases are provided assuming several functional behaviors of demand versus the stock level
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