Impoverishment of The Law by The Law: A Critique of The Attorney General's Vision of The Rule of Law and The Federal Principle

This brief article is devoted to a critique of the arguments put forward by the Attorney General of Canada in connection with the Reference concerning certain questions relating to the secession of Quebec (hereinafter, "the Reference"). This critique will not be presented from a plainly positivist standpoint. On the contrary, I will be examining in particular (1) how the approach taken by the Attorney General impoverished the legal concepts of the rule of law anf federalism, both of which were, however, central to her submission; and, in a more general way, (2) how the excessively detailed analysis of constitutional texts contributes to the impoverishment of the symbolic function of the law, however essential that dimension may be to its legitimacy. My criticism will take into account the reasons for judgement delivered recently by the Supreme Court in the Reference.

Efficient estimation using the characteristic function : theory and applications with high frequency data

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Rule-based quality heuristics formalization and identification

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Les causes de déchéance du droit à limitation de responsabilité du transporteur maritime international de marchandises sous connaissement

La présente étude examine les causes de déchéance du droit à limitation de responsabilité du transporteur maritime de marchandises. En règle générale, les plafonds d’indemnisation fixés par les conventions internationales écartent la réparation intégrale du préjudice causé par le transporteur maritime de marchandises. Cependant, il est également prévu un certain nombre de causes de déchéance de ce droit à limitation, pour lesquelles les conditions d’application diffèrent d’une convention internationale à l’autre (Règles de La Haye, Règles de La Haye-Visby, Règles de Hambourg et Règles de Rotterdam). Parallèlement, les tribunaux nationaux, par le recours à des notions propres de leurs systèmes juridiques, modifient l’étendue des causes de déchéance de ce droit. En somme, la déchéance du droit à limitation de responsabilité variera selon la convention internationale appliquée et selon la juridiction compétente. Ce qui, en définitive, porte atteinte à la structuration rationnelle du régime de responsabilité du transporteur maritime dans sa globalité et à l’objectif d’uniformisation poursuivi jusqu’ici.

Sum rules and correlations in asymmetric nuclear matter

The neutron and proton single-particle spectral functions in asymmetric nuclear matter fulfill energy-weighted sum rules. The validity of these sum rules within the self-consistent Green's function approach is investigated. The various contributions to these sum rules and their convergence as a function of energy provide information about correlations induced by the realistic interaction between the nucleons. The study of the sum rules in asymmetric nuclear matter exhibits the isospin dependence of the nucleon-nucleon correlations.

Error estimates for approximate approximations on compact intervals

The aim of this paper is the investigation of the error which results from the method of approximate approximations applied to functions defined on compact in- tervals, only. This method, which is based on an approximate partition of unity, was introduced by V. Mazya in 1991 and has mainly been used for functions defied on the whole space up to now. For the treatment of differential equations and boundary integral equations, however, an efficient approximation procedure on compact intervals is needed. In the present paper we apply the method of approximate approximations to functions which are defined on compact intervals. In contrast to the whole space case here a truncation error has to be controlled in addition. For the resulting total error pointwise estimates and L1-estimates are given, where all the constants are determined explicitly.

An approximation method using approximate approximations

The aim of this paper is to extend the method of approximate approximations to boundary value problems. This method was introduced by V. Maz'ya in 1991 and has been used until now for the approximation of smooth functions defined on the whole space and for the approximation of volume potentials. In the present paper we develop an approximation procedure for the solution of the interior Dirichlet problem for the Laplace equation in two dimensions using approximate approximations. The procedure is based on potential theoretical considerations in connection with a boundary integral equations method and consists of three approximation steps as follows. In a first step the unknown source density in the potential representation of the solution is replaced by approximate approximations. In a second step the decay behavior of the generating functions is used to gain a suitable approximation for the potential kernel, and in a third step Nyström's method leads to a linear algebraic system for the approximate source density. For every step a convergence analysis is established and corresponding error estimates are given.

Approximate approximations for the Poisson and the Stokes equations

The method of approximate approximations is based on generating functions representing an approximate partition of the unity, only. In the present paper this method is used for the numerical solution of the Poisson equation and the Stokes system in R^n (n = 2, 3). The corresponding approximate volume potentials will be computed explicitly in these cases, containing a one-dimensional integral, only. Numerical simulations show the efficiency of the method and confirm the expected convergence of essentially second order, depending on the smoothness of the data.