6,414 research outputs found

    GENERAL ORIENTATIONS OF THE MANAGEMENT OF PUBLIC INSTITUTIONS IN THE CONTEXT OF THE KNOWLEDGE SOCIETY

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    Romanian public administration and new public management are in need of a series of modernization actions resulted from theoretical progresses on European level whose application proved to have positive effects. Among these modernization actions a focus on the following aspects must be mentioned: Ensuring the proper and transparent information levels and feed-back elements and social responsibility; Encouraging a proactive and prospective professional development; Ensuring of a public administration management which should support: interdisciplinary approach, focus on the quality of the public service, supporting the public-private partnership. Dealing with such priorities can determine the beginning of the public administration’s consecration as a European public administration, based on knowledge, which will have a positive impact on the performance of a nationally representative sector.modernization of the public administration, decentralization, professionalism, social responsibility

    Plane curves with prescribed triple points: a toric approach

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    We will use toric degenerations of the projective plane P2{{\mathbb{P}}^ 2} to give a new proof of the triple points interpolation problems in the projective plane. We also give a complete list of toric surfaces that are useful as components in this degeneration

    Metric inequalities for polygons

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    Let A1,A2,...,AnA_1,A_2,...,A_n be the vertices of a polygon with unit perimeter, that is ∑i=1n∣AiAi+1∣=1\sum_{i=1}^n |A_i A_{i+1}|=1. We derive various tight estimates on the minimum and maximum values of the sum of pairwise distances, and respectively sum of pairwise squared distances among its vertices. In most cases such estimates on these sums in the literature were known only for convex polygons. In the second part, we turn to a problem of Bra\ss\ regarding the maximum perimeter of a simple nn-gon (nn odd) contained in a disk of unit radius. The problem was solved by Audet et al. \cite{AHM09b}, who gave an exact formula. Here we present an alternative simpler proof of this formula. We then examine what happens if the simplicity condition is dropped, and obtain an exact formula for the maximum perimeter in this case as well.Comment: 13 pages, 2 figures. This version replaces the previous version from 8 Feb 2011. A new section has been added and the material has been reorganized; a correction has been done in the proof of Lemma 4 (analysis of Case 3

    Approximate Euclidean Ramsey theorems

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    According to a classical result of Szemer\'{e}di, every dense subset of 1,2,...,N1,2,...,N contains an arbitrary long arithmetic progression, if NN is large enough. Its analogue in higher dimensions due to F\"urstenberg and Katznelson says that every dense subset of {1,2,...,N}d\{1,2,...,N\}^d contains an arbitrary large grid, if NN is large enough. Here we generalize these results for separated point sets on the line and respectively in the Euclidean space: (i) every dense separated set of points in some interval [0,L][0,L] on the line contains an arbitrary long approximate arithmetic progression, if LL is large enough. (ii) every dense separated set of points in the dd-dimensional cube [0,L]d[0,L]^d in \RR^d contains an arbitrary large approximate grid, if LL is large enough. A further generalization for any finite pattern in \RR^d is also established. The separation condition is shown to be necessary for such results to hold. In the end we show that every sufficiently large point set in \RR^d contains an arbitrarily large subset of almost collinear points. No separation condition is needed in this case.Comment: 11 pages, 1 figure

    Quasihomogeneous three-dimensional real analytic Lorentz metrics

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    We classify germs at the origin of real analytic Lorentz metrics on R^3 which are quasihomogeneous, in the sense that they are locally homogeneous on an open set containing the origin in its closure, but not locally homogeneous in the neighborhood of the origin.Comment: 11 page
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