Krein's strings whose spectral functions are of polynomial growth

In case Krein's strings with spectral functions of polynomial growth a necessary and su fficient condition for the Krein's correspondence to be continuous is given.

Pulsatile tinnitus caused by an aneurysm of the transverse-sigmoid sinus: a new case report and review of literature.

A 28-year-old woman consulted for disabling pulsatile tinnitus. Clinical examination suggested a venous etiology. An aneurysm of the transverse-sigmoid sinus was identified on computed tomography angiography (CTA) and confirmed by digital subtraction angiography. Endovascular occlusion of the aneurysm with detachable coils permanently eliminated the bruit. Thus, this report is of a new case of pulsatile tinnitus caused by an aneurysm of the transverse-sigmoid sinus, with a focus on a literature review and etiopathophysiology. Embryological studies suggest that these aneurysms represent a partial remnant of the petrosquamous sinus.

A polynomial algorithm for special case of the one-machine scheduling problem with time-lags

The standard one-machine scheduling problem consists in schedulinga set of jobs in one machine which can handle only one job at atime, minimizing the maximum lateness. Each job is available forprocessing at its release date, requires a known processing timeand after finishing the processing, it is delivery after a certaintime. There also can exists precedence constraints between pairsof jobs, requiring that the first jobs must be completed beforethe second job can start. An extension of this problem consistsin assigning a time interval between the processing of the jobsassociated with the precedence constrains, known by finish-starttime-lags. In presence of this constraints, the problem is NP-hardeven if preemption is allowed. In this work, we consider a specialcase of the one-machine preemption scheduling problem with time-lags, where the time-lags have a chain form, and propose apolynomial algorithm to solve it. The algorithm consist in apolynomial number of calls of the preemption version of the LongestTail Heuristic. One of the applicability of the method is to obtainlower bounds for NP-hard one-machine and job-shop schedulingproblems. We present some computational results of thisapplication, followed by some conclusions.

Computing congruences of modular forms and Galois representations modulo prime powers

This article starts a computational study of congruences of modular forms and modular Galoisrepresentations modulo prime powers. Algorithms are described that compute the maximum integermodulo which two monic coprime integral polynomials have a root in common in a sensethat is defined. These techniques are applied to the study of congruences of modular forms andmodular Galois representations modulo prime powers. Finally, some computational results withimplications on the (non-)liftability of modular forms modulo prime powers and possible generalisationsof level raising are presented.

The semi-presidential system of Cape Verde: the relationship between the executive and the legislative powers = O sistema semi-presidencialista caboverdiano: a relação entre os poderes executivo e legislativo

e article analyses the relationship established between the executive and legislative powers in the Cape Verdean government system where researchers seek to understand it, taking into account their theoretical and constitutional setting practice. It should be noted the prominence of the debate and studies undertaken to understand how the scienti c academy seeks to eradicate this problem. Two issues are relevant in this debate: the rst reporting to the theoretical and constitutional con guration of Cape Verdean government system and the other to its policy and legislative practice. Keywords: Cape Verde. Semi-presidential System. Systems of Government. Legislative and Executive Powers.

Symmetric periodic orbits near heteroclinic loops at infinity for a class of polynomial vector fields

For polynomial vector fields in R3, in general, it is very difficult to detect the existence of an open set of periodic orbits in their phase portraits. Here, we characterize a class of polynomial vector fields of arbitrary even degree having an open set of periodic orbits. The main two tools for proving this result are, first, the existence in the phase portrait of a symmetry with respect to a plane and, second, the existence of two symmetric heteroclinic loops.

Integrability of a linear center perturbed by a fourth degree homogeneous polynomial

In this work we study the integrability of a two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fourth degree. We give sufficient conditions for integrability in polar coordinates. Finally we establish a conjecture about the independence of the two classes of parameters which appear in the system; if this conjecture is true the integrable cases found will be the only possible ones.

Integrability of a linear center perturbed by a fifth degree homogeneous polynomial

In this work we study the integrability of two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fifth degree. We give a simple characterisation for the integrable cases in polar coordinates. Finally we formulate a conjecture about the independence of the two classes of parameters which appear on the system; if this conjecture is true the integrable cases found will be the only possible ones.

Multicointegration, polynomial cointegration and I(2) cointegration with structural breaks. An application to the sustainability of the US external deficit

In this paper we model the multicointegration relation, allowing for one structural break. Since multicointegration is a particular case of polynomial or I(2) cointegration, our proposal can also be applied in these cases. The paper proposes the use of a residualbased Dickey-Fuller class of statistic that accounts for one known or unknown structural break. Finite sample performance of the proposed statistic is investigated by using Monte Carlo simulations, which reveals that the statistic shows good properties in terms of empirical size and power. We complete the study with an empirical application of the sustainability of the US external deficit. Contrary to existing evidence, the consideration of one structural break leads to conclude in favour of the sustainability of the US external deficit.

Algorithm to determine the intersection curves between bezier surfaces by the solution of multivariable polynomial system and the differential marching method

The determination of the intersection curve between Bézier Surfaces may be seen as the composition of two separated problems: determining initial points and tracing the intersection curve from these points. The Bézier Surface is represented by a parametric function (polynomial with two variables) that maps a point in the tridimensional space from the bidimensional parametric space. In this article, it is proposed an algorithm to determine the initial points of the intersection curve of Bézier Surfaces, based on the solution of polynomial systems with the Projected Polyhedral Method, followed by a method for tracing the intersection curves (Marching Method with differential equations). In order to allow the use of the Projected Polyhedral Method, the equations of the system must be represented in terms of the Bernstein basis, and towards this goal it is proposed a robust and reliable algorithm to exactly transform a multivariable polynomial in terms of power basis to a polynomial written in terms of Bernstein basis .

The house that the Court built. The retained powers case law of the European Court of Justice and the constitutional structure of the Union

Euroopan unionin perustamissopimusten katsotaan muodostavan EU:n valtiosäännön, jonka rajat ovat kuitenkin perustamissopimusten määräysten väljän muotoilun sekä Euroopan unionin tuomioistuimen tulkintakäytännön valossa epätarkat. Etenkin kysymys unionin ja sen jäsenvaltioiden välisestä toimivallanjaosta on EU-oikeudellisen tutkimuksen klassikoita. Tarkastelen pro gradu -tutkielmassani unionin valtiosääntörakennetta ja unionioikeuden kokonaisvaikutusta jäsenvaltioiden toimivaltojen käyttöön erityisesti EU-tuomioistuimen ratkaisukäytännössään kehittämän niin kutsutun retained powers -doktriinin valossa. Kyseisen opin mukaan EU-oikeus asettaa vaatimuksia jäsenvaltioiden toimivaltojen käytölle myös niillä aloilla, joilla sääntelytoimivalta on jäänyt jäsenvaltioille eikä sitä ole jaettu unionin kanssa. Aiheen teoreettisen tarkastelun pohjalta analysoin Euroopaun unionin tuomioistuimen ratkaisukäytäntöä erityisesti yhtä säilytetyn toimivallan alaa, koulutusta, koskevissa tapauksissa pyrkien havaitsemaan typologioita tuomioistuimen ratkaisutoiminnassa. Tutkimus noudattaa EU-valtiosääntöoikeuden metodologiaa. Keskeisenä lähdemateriaalina on siten käytetty unionituomioistuimen ratkaisukäytäntöä, joka heijastaa perustamissopimuksia tarkemmin unionin valtiosääntörakennetta. Oikeuskäytännön analyysi ja tulkinta on suoritettu peilaten sitä vasten unionin kehitystä markkinaorientoituneesta organisaatiosta yleismaailmalliseksi poliittiseksi unioniksi. Tutkielmani loppupäätelmä on, että jäsenvaltiot ovat tietyissä rajoissa hyväksyneet unionituomioistuimen kehittämän doktriinin, ja unionituomioistuin on siten saanut aikaan tosiasiallisen muutoksen EU:n valtiosääntörakenteessa. Retained powers -doktriini on omiaan syventämään eurooppalaista integraatiota ja nostaa kysymyksiä toimivallanjaon merkityksestä unionioikeudessa, perustamissopimusten kyvystä heijastaa unionin valtiosääntörakennetta sekä unionituomioistuimen toiminnan poliittisesta luonteesta.

Narratives of emergence: rising powers and the end of the Third World?

This article examines recent arguments from development economists, from historians and from international relations specialists that do challenge the continued relevance of the idea of the Third World. It then examines five reasons why these arguments are wrong. We can indeed understand much about emerging powers in terms of how they are seeking to navigate and best position themselves within an existing state-centric, liberal and capitalist order whilst accepting many of the underlying assumptions and values of that order. But the nature of that navigation has been shaped by their historical trajectory and by the developmental, societal and geopolitical context of their emergence.

Reforming the Division of Powers in Canada : An (Un)achievable Endeavour?

Formal amendments to the division of powers provisions of Canada's 1867 federal constitution have always proved difficult to achieve. However, since 1982, this task has become hopelessly unachievable. Modifications to, and adaptation of, the division of power has consequently been left to judges called upon to interpret sections 91 to 95 of the Constitution Act, 1867, and to executives officers of the central and regional governments as they negotiate intergovernmental agreements. The end result of theses two processes has been highly favourable to the central government. Courts have given a liberal interpretation to the central government's exclusive fields of jurisdiction. Moreover, the latter's spending power, unobstructed by the fragile legal framwork imposed under interprovincial agreements, has enabled it to encroach upon the exclusive heads of power of the provinces. As we will see, one of the main reason behind the Canadian constitutional stalemate, and for the recurrent isolation of Quebec - even where informal modification are concerned - is the different conceptions of Canadian federalism respectively held by Quebecers and by English Canadian.