El desarrollo rural en la vertiente atlántica del País Vasco: un balance

[EUS] Artikulo honetan euskal isurialde atlantiarreko bi munitzipioetan martxan jarritako garapen lokaleko proiektuak aztertzen dira. Esperientzia horiek beherapen industrialean dagoen eskualde batean landa garapenak izan dezakeen egokitasunari buruz pentsatzera bultzatzen dute.

Ortho-positronium annihilation: steps toward computing the first order radiative corrections

The 0.2% experimental accuracy of the 1968 Beers and Hughes measurement of the annihilation lifetime of ortho-positronium motivates the attempt to compute the first order quantum electrodynamic corrections to this lifetime. The theoretical problems arising in this computation are here studied in detail up to the point of preparing the necessary computer programs and using them to carry out some of the less demanding steps -- but the computation has not yet been completed. Analytic evaluation of the contributing Feynman diagrams is superior to numerical evaluation, and for this process can be carried out with the aid of the Reduce algebra manipulation computer program.

The relation of the positronium decay rate to the electronpositron annihilation-in-flight amplitude is derived in detail, and it is shown that at threshold annihilation-in-flight, Coulomb divergences appear while infrared divergences vanish. The threshold Coulomb divergences in the amplitude cancel against like divergences in the modulating continuum wave function.

Using the lowest order diagrams of electron-positron annihilation into three photons as a test case, various pitfalls of computer algebraic manipulation are discussed along with ways of avoiding them. The computer manipulation of artificial polynomial expressions is preferable to the direct treatment of rational expressions, even though redundant variables may have to be introduced.

Special properties of the contributing Feynman diagrams are discussed, including the need to restore gauge invariance to the sum of the virtual photon-photon scattering box diagrams by means of a finite subtraction.

A systematic approach to the Feynman-Brown method of Decomposition of single loop diagram integrals with spin-related tensor numerators is developed in detail. This approach allows the Feynman-Brown method to be straightforwardly programmed in the Reduce algebra manipulation language.

The fundamental integrals needed in the wake of the application of the Feynman-Brown decomposition are exhibited and the methods which were used to evaluate them -- primarily dis persion techniques are briefly discussed.

Finally, it is pointed out that while the techniques discussed have permitted the computation of a fair number of the simpler integrals and diagrams contributing to the first order correction of the ortho-positronium annihilation rate, further progress with the more complicated diagrams and with the evaluation of traces is heavily contingent on obtaining access to adequate computer time and core capacity.

Balance de la política fiscal desarrollada en España en época de crisis. ¿Por qué elegir el camino contractivo?

The use of a contractive fiscal policy in times of crisis and austerity can lead to so many different opinion streams which can be, at the same time, very opposite with each other. The high budget deficit in some economies has forced the eurozone to implement austerity policies, meaning that the debate is now more alive than ever. Therefore, the aim of this paper is to analyze the effects of the implementation of a contractive policy during a crisis considering the case of Spain. The positive effects in financial markets were noticed due to the decrease of the risk premium and the payment of interests, and also thanks to the increase of trust towards Spain. This way, the reduction of the Spanish deficit was remarkable but in any case there is still a long path until reaching the limit of 3% of the GDP. Also, in the short run it is possible to see that the consolidation had contractive effects in the economic activity but, in the long run, the debate is among the defenders of the fact that austerity is followed by a growing period and the ones opposing to it due to the drowning effect produced by it.

Corrections to the paraxial approximation of an arbitrary free-propagation beam

A relatively simple transform from an arbitrary solution of the paraxial wave equation to the corresponding exact solution of the Helmholtz wave equation is derived in the condition that the evanescent waves are ignored and is used to study the corrections to the paraxial approximation of an arbitrary free-propagation beam. Specifically, the general lowest-order correction field is given in a very simple form and is proved to be exactly consistent with the perturbation method developed by Lax et nl. [Phys. Rev. A 11, 1365 (1975)]. Some special examples, such as the lowest-order correction to the paraxial approximation of a fundamental Gaussian beam whose waist plane has a parallel shin from the z = 0 plane, are presented. (C) 1998 Optical Society of America.

Corrections to the paraxial approximation solutions in transversely nonuniform refractive-index media

The coupled differential recurrence equations for the corrections to the paraxial approximation solutions in transversely nonuniform refractive-index media are established in terms of the perturbation method. All the corrections (including the longitudinal field corrections) to the paraxial approximation solutions are presented in the weak-guidance approximation. As a concrete application, the first-order longitudinal field correction and the second-order transverse field correction to the paraxial approximation of a Gaussian beam propagating in a transversely quadratic refractive index medium are analytically investigated. (C) 1999 Optical Society of America [S0740-3232(99)00310-5].

Legitimidade constitucional da cognição sumária: limites impostos pelo contraditório participativo.

A tese objetiva estruturar os pressupostos constitucionais impostos pelo conteúdo atual e humanizado do contraditório participativo às técnicas de sumarização da cognição. A primeira parte do estudo volta-se ao descortínio do papel do contraditório no sistema processual civil, do seu conteúdo mínimo atual, a partir da experiência internacional, em especial das Cortes de proteção dos direitos humanos, em confronto com o estágio evolutivo da jurisprudência brasileira. A segunda parte estuda as pressões exercidas pela celeridade sobre as fronteiras do contraditório, passando pelo exame dos dados disponibilizados pelo Conselho Nacional de Justiça e por outros institutos, pelo conteúdo do direito à razoável duração dos processos, também com amparo na experiência das Cortes internacionais de proteção dos direitos humanos, com o exame detido das condenações impostas ao Brasil pela Corte Interamericana de Direitos Humanos e da urisprudência interna sobre o tema, que nega aos prejudicados o direito à reparação dos danos sofridos pelos retardos injustificados. Definidas as bases, segue-se a análise das técnicas de sumarização da cognição, seus fundamentos, objetivos e espécies. A cognição sumária é definida em contraposição à cognição plena, segundo a qual as partes podem exercer, plenamente, em Juízo, os direitos inerentes ao contraditório participativo. O último quadrante se volta à estruturação dos pressupostos constitucionais legitimadores do emprego das técnicas de sumarização da cognição, impostos pelo contraditório como freio às pressões constantes da celeridade. O emprego legítimo das técnicas de tutela diferenciadas que se valem da cognição sumária para acelerar os resultados pressupõe, no quadro constitucional atual, (i) a observância do núcleo essencial do contraditório, identificado na audiência bilateral, em todo o iter da relação processual, (ii) a predeterminação legislativa, para que os cortes cognitivos não venham a ser casuisticamente realizados, (iii) a oportunidade, assegurada às partes, para integrar o contraditório em outra fase ou processo, em cognição plena, bem como (iv) a manutenção do equilíbrio na estabilização dos resultados, não podendo a cognição sumária, porque marcada pela incompletude, ser exaustiva em si. Ao final, depois do exame do caráter renunciável das garantias, é realizada a análise de alguns institutos processuais vigentes, nos quais é possível verificar o traço da sumarização da cognição, seguida da indicação das correções legislativas necessárias à conformação dos modelos aos padrões legitimadores propostos, reequilibrando as bases do sistema processual civil.