6,414 research outputs found
GENERAL ORIENTATIONS OF THE MANAGEMENT OF PUBLIC INSTITUTIONS IN THE CONTEXT OF THE KNOWLEDGE SOCIETY
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
We will use toric degenerations of the projective plane
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
Let be the vertices of a polygon with unit perimeter, that
is . 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 -gon ( 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
According to a classical result of Szemer\'{e}di, every dense subset of
contains an arbitrary long arithmetic progression, if is large
enough. Its analogue in higher dimensions due to F\"urstenberg and Katznelson
says that every dense subset of contains an arbitrary large
grid, if 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 on the line contains an
arbitrary long approximate arithmetic progression, if is large enough. (ii)
every dense separated set of points in the -dimensional cube in
\RR^d contains an arbitrary large approximate grid, if 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
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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