2,876 research outputs found
On Bogovski\u{\i} and regularized Poincar\'e integral operators for de Rham complexes on Lipschitz domains
We study integral operators related to a regularized version of the classical
Poincar\'e path integral and the adjoint class generalizing Bogovski\u{\i}'s
integral operator, acting on differential forms in . We prove that these
operators are pseudodifferential operators of order -1. The Poincar\'e-type
operators map polynomials to polynomials and can have applications in finite
element analysis. For a domain starlike with respect to a ball, the special
support properties of the operators imply regularity for the de Rham complex
without boundary conditions (using Poincar\'e-type operators) and with full
Dirichlet boundary conditions (using Bogovski\u{\i}-type operators). For
bounded Lipschitz domains, the same regularity results hold, and in addition we
show that the cohomology spaces can always be represented by
functions.Comment: 23 page
CSR as a Strategic Management Tool: Expectations and Realities of Two MNCs in Nigeria
Corporate social responsibility (CSR) as a concept has been a subject of debate in the management cycle
for decades. However, the incorporation of CSR, competitive advantage and strategic management into top
management decision making processes, forms a set of new alliances that are beginning to gain attention.
This paper examined the strategic alliances of these highly volatile but significantly critical components in
order to determine the extent to which these three seemingly incongruous factors can be achieved in reality
within a developing country such as Nigeria. Using a comparative case study approach, the activities of two
multinationals - Shell Plc and Coca Cola – were examined. The critical success factors were explained based
on the strategies adopted in order to determine the impact on the society and whether they were in line with
stakeholders’ expectations. Findings however indicate that there has been an interplay of high level forces
which has resulted in the unsavoury news emanating from the oil producing communities in Nigeria, unfortunately,
the activities of Coca cola in both the content and context of their operations have received little or
no attention. This paper contributes to the scarce literature of this discourse within the African continent in
general and Nigerian state in particular as well as sets a precedent for future research
BRST Hamiltonian for Bulk-Quantized Gauge Theory
By treating the bulk-quantized Yang-Mills theory as a constrained system we
obtain a consistent gauge-fixed BRST hamiltonian in the minimal sector. This
provides an independent derivation of the 5-d lagrangian bulk action. The
ground state is independent of the (anti)ghosts and is interpreted as the
solution of the Fokker-Planck equation, thus establishing a direct connection
to the Fokker-Planck hamiltonian. The vacuum state correlators are shown to be
in agreement with correlators in lagrangian 5-d formulation. It is verified
that the complete propagators remain parabolic in one-loop dimensional
regularization.Comment: 23 pages, AMS-LaTeX, 1 feynmf diagram, added 2 refs email addres
Critical factors in the empirical performance of temporal difference and evolutionary methods for reinforcement learning
Generalized Korn's inequality and conformal Killing vectors
Korn's inequality plays an important role in linear elasticity theory. This
inequality bounds the norm of the derivatives of the displacement vector by the
norm of the linearized strain tensor. The kernel of the linearized strain
tensor are the infinitesimal rigid-body translations and rotations (Killing
vectors). We generalize this inequality by replacing the linearized strain
tensor by its trace free part. That is, we obtain a stronger inequality in
which the kernel of the relevant operator are the conformal Killing vectors.
The new inequality has applications in General Relativity.Comment: 8 page
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Strichartz estimates for the water-wave problem with surface tension
Strichartz-type estimates for one-dimensional surface water-waves under
surface tension are studied, based on the formulation of the problem as a
nonlinear dispersive equation. We establish a family of dispersion estimates on
time scales depending on the size of the frequencies. We infer that a solution
of the dispersive equation we introduce satisfies local-in-time Strichartz
estimates with loss in derivative:
where depends on and on the norms of the
initial data in . The proof uses the frequency analysis
and semiclassical Strichartz estimates for the linealized water-wave operator.Comment: Fixed typos and mistakes. Merged with arXiv:0809.451
Product Differentiation Costs and Global Competition
The growing competitive intensity on the markets determines the emergence of
competition costs that are expressed at a corporate level and have implicit
repercussions for the supply system. This type of costs makes it possible to identify
a close link between competition costs and supply differentiation costs.
Classification by competitive intensity presupposes that the analysis performed
identifies the classification of company costs as the discriminating element, in
terms of the competitive pressure of the context in which the firm operates.
The emergence of competition costs is linked to an attempt to squeeze them as an
aspect of vertical, or more specifically, horizontal cooperation strategies.Product Differentiation; Differentiation Costs; Over-Supply; Global Competition; Marketing; Market-Driven Management; Global Corporations; Global Markets DOI:http://dx.doi.org/10.4468/2005.1.06garbelli
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