In this paper we prove that every proper convex and lower semicontinuous functional de ned on a real re exive Banach space X is semicoercive if and only if every small uniform perturbation of attains its minimum value on X.

Let R be an o-minimal field with a proper convex subring V . We axiomatize the class of all structures (R, V ) such that kind, the corresponding residue field with structure induced from R via the residue map, is o-minimal. More precisely, in [8] it was shown that certain first order conditions on (R, V ) are sufficient for the o-minimality of kind. Here we prove that these conditions are also ...

It is useful to have mathematical criteria for evaluating errors in map projections. The Chebyshev criterion for minimizing rms (root mean square) local scale factor errors for conformal maps has been useful in developing conformal map projections of continents. However, any local error criterion will be minimized ultimately by map projections with multiple interruptions. A disadvantage of inte...

Assume that f : X → Y is a proper map of a connected n-manifold X into a Hausdorff, connected, locally path-connected, and semilocally simply connected space Y , and y0 ∈ Y has a neighborhood homeomorphic to Euclidean n-space. The proper Nielsen number of f at y0 and the absolute degree of f at y0 are defined in this setting. The proper Nielsen number is shown to a lower bound on the number of ...

We show that a continuous additive positively homogeneous map from a closed not necessarily proper cone in a Banach space onto a Banach space is an open map precisely when it is surjective. This generalization of the usual Open Mapping Theorem for Banach spaces is then combined with Michael’s Selection Theorem to yield the existence of a continuous bounded positively homogeneous right inverse o...

Ecotourism as the most attractive subset of the tourism industry can contribute to natural resource conservation and local development. Although great numbers of people annually visit Abbasabad area, in Veresk, Mazandaran, to enjoy its brilliant landscape and moderate ecologic condition, there is no applicable plan for many natural attractive zones in this area. As a result, some specific well ...

in the recent years, the universities have been worried about performance management more than ever. in the present complex and competitive universe, the success of universities is impossible without presence of proper strategy and methods for evaluating their level of achievements. the balanced scorecard method is a model of evaluating performance and a system of strategic management. the main...

I discuss the prospects of detecting the smallest dark matter bound structures present in the Milky Way by searching for the proper motion of γ-ray sources in the upcoming GLAST all sky map. I show that for dark matter particle candidates that couple to photons the detection of at least one γ-ray microhalo source with proper motion places a constraint on the couplings and mass of the dark matte...

Pop proved that a smooth curve C over an ample field K with C(K) 6= ∅ has |K| many rational points. We strengthen this result by showing that there are |K| many rational points that do not lie in a given proper subfield, even after applying a rational map. As a consequence we gain insight into the structure of existentially definable subsets of ample fields. In particular, we prove that a perfe...