We consider a finite set of lattice points and their convex hull. The author previously gave a geometric proof that the sumsets of these lattice points take over the central regions of dilated convex hulls, thus revealing an interesting connection between additive number theory and geometry. In this paper, we will see an algebraic proof of this fact when the convex hull of points is a simplex, ...

Affectionately dedicated to Mel Hochster, who has been an inspiration to us for many years, on the occasion of his 65th birthday. Abstract We study the fibers of projective morphisms and rational maps. We characterize the analytic spread of a homogeneous ideal through properties of its syzygy matrix. Powers of linearly presented ideals need not be linearly presented, but we identify a weaker li...

In this study, we ask if instead of being fundamentally opposed, niche and neutral theories could simply be located at the extremes of a continuum. First, we present a model of recruitment probabilities that combines both niche and neutral processes. From this model, we predict and test whether the relative importance of niche vs. neutral processes in controlling community dynamics will vary de...

Sequential exchanges of vocalizations (staccatos and neighs) emitted by Northern Muriquis Brachyteles arachnoides hypoxanthus were recorded at the Biological Station of Caratinga, Minas Gerais State, Brazil. Staccatos and neighs containing larger proportion of short elements were preferentially produced during short-range exchanges; neighs, produced by a larger number of participants, were typi...

In several studies with hierarchical stimuli it has been shown that the left and the right hemispheres are specialized for the processing of local and global information, respectively. However, although corresponding visual-field (VF) effects regularly show up for incongruent stimuli, they are often absent for congruent ones. In this study, it was investigated whether the spacing between the el...

In order to examine the effect of the quantity of Nitrogen fertilizer and bush density on vegetative and productive function of henna medicinal plant (Lawsonia inermis)  factorial experimentation in the form of block plan was carried in three stages in agriculture research center in south of kerman  province in corp of 2012. The first factor containing Nitrogen fertilizer in 4 levels i...

We study the statistics of level spacing of geometric resonances in the disordered binary networks. For a definite concentration p within the interval [0.2,0.7], numerical calculations indicate that the unfolded level spacing distribution P(t) and level number variance Sigma(2)(L) have general features. It is also shown that the short-range fluctuation P(t) and long-range spectral correlation S...

Two experiments used procedures similar to those used by R. L. Greene (1989) to test the 2-process theory of the spacing effect and, in particular, the contextual-variability subtheory that applies to free-recall performance. Experiment 1 obtained a spacing effect in free recall following intentional learning but not following incidental learning, contrary to a previous result supporting the 2-...

By extending the approach of Berry and Robnik, the limiting level spacing distribution of a system consisting of infinitely many independent components is investigated. The limiting level spacing distribution is characterized by a single monotonically increasing function mu(S) of the level spacing S. Three cases are distinguished: (1) Poissonian if mu(+ infinity)=0, (2) Poissonian for large S, ...