due to contiguous city of ravar with lut and dasht-e kavir desert, and weather conditions, water is one of the rarest agricultural inputs in this city. pistachio allocates 90% of garden and 73% of agricultural lands of the city and it is the most important agricultural product in this region. a major source of agricultural water supply in this area is groundwater. low price of water on one side...

Let Γ be the convex set consisting of all states φ on the tensor product B ⊗ B of the algebra B = Mn(C) of all n × n matrices over the complex numbers C with the property that the restrictions φ B⊗I and φ I⊗B are the unique tracial states on B ⊗ I and I ⊗ B . We find necessary and sufficient conditions for such a state, called a marginal tracial state, to be extremal in Γ . We also give a chara...

We consider distributions of ordered random vectors with given one-dimensional marginal distributions. We give an elementary necessary and sufficient condition for the existence of such a distribution with finite entropy. In this case, we give explicitly the density of the unique distribution which achieves the maximal entropy and compute the value of its entropy. This density is the unique one...

Abstract The Pearson product-moment correlation commonly used as statistical dependence measure was developed assuming normal marginal and addresses only linear dependence. In most applications, the distribution is assumed to be a multivariate normal or lognormal for tractable calculus even if the assumption may not be appropriate. A copula based approach couples marginal distributions to form ...

I\Iarginal problem in the framework of evidence theorv is introduced in a way analogous to probabilistic one, to address the question of whether or not a common extension exists for a given set of marginal basic assignments. similarities between these two problem types are demonstrated, concerning necessary condition for the existence of an extension and sets of all solutions. Finally, product ...

Many attribute the rise in obesity since the early 1980s to the overconsumption of fast food. A dynamic model of a differentiated-product industry equilibrium shows that a firm with market power will price below marginal cost in a steady-state equilibrium. A spatial hedonic pricing model is used to test whether fast food firms set prices in order to exploit their inherent addictiveness. The res...

We note that we must have A because is the marginal value of labor and labor’s marginal product has a lower bound of A because the primitive technology a = 0 always is available. If we had an interior solution, all these …rst-order functions would be set equal to zero, and we would solve the resulting simultaneous system for , , and the values of all the La and Ka. However, we cannot have such ...

This article examines "consistent" conjectural variations in an oligopoly model with a homogeneous product. A conjectural variation is consistent if it is equivalent to the optimal response of the otherfirms at the equilibrium defined by that conjecture. When the number of firms is fixed, we find that competitive behavior is consistent when marginal costs are constant, but that when marginal co...

We consider the spectrum of BPS saturated states in N = 2 gauge theories in four dimensions. This spectrum may be discontinuous across real codimension one submanifolds of marginal stability in the moduli space of vacua. An example, which can be treated with semiclassical methods in the weak coupling limit, is the decay of quark-soliton bound states. For a quark and a soliton of electric-magnet...

We consider problems of approximate inference in which the query of interest is given by a complex formula (such as a formula in disjunctive formal form (DNF)) over a joint distribution given by a graphical model. We give a general reduction showing that (approximate) marginal inference for a class of distributions yields approximate inference for DNF queries, and extend our techniques to accom...