During the absorption of phosphate by yeast, the cells acquire the capacity to absorb Mn ++ and Mg ++, a capacity which is retained even after phosphate is no longer present in the medium. Cells pretrcated with phosphate and then washed, slowly lose their ability to absorb Mn ++, the rate of loss depending on the temperature and on the metabolic state. The fermentation of sugars induces a very ...

We quantified soil acidity and exchangeable cations in the forest floor and upper 7.5 cm of mineral soil beneath the canopies of individual trees of six different species in a mixed-species forest in northwestern Connecticut. Soil pH decreased in a sequence starting with sugar maple (Acer saccharum) . white ash (Fraxinus americana) . red maple (Acer rubrum) . beech (Fagus grandifolia) . red oak...

We introduce and study a class of exchangeable random graph ensembles. They can be used as statistical null models for empirical networks, and as a tool for theoretical investigations. We provide general theorems that characterize the degree distribution of the ensemble graphs, together with some features that are important for applications, such as subgraph distributions and kernel of the adja...

We investigate how to model exchangeability with choice functions. Exchangeability is a structural assessment on a sequence of uncertain variables. We show how such assessments are a special indifference assessment, and how that leads to a counterpart of de Finetti’s Representation Theorem, both in a finite and a countable context.

We formalize within the dolce foundational ontology the Structure-Behavior-Function model (sbf) proposed by Ashok K. Goel and colleagues. Our work focuses in particular on the notion of function. This work on sbf is part of a larger project that includes the formalization of the concepts of function by Chandrasekaran and Josephson and by Stone and Wood. The overall goal is to make engineering f...

Under a partition of the set N we shall mean a sequence (b1, b2, . . .) of subsets of N such that (i) the sets bj are disjoint, (ii) ∪jbj = N, (iii) if bk = ∅ then also bk+1 = ∅ and (iv) if bk+1 6= ∅ then min bk < min bk+1. Condition (iv) says that the sequence of minimal elements of the blocks is increasing. One can think of partition as a mapping which sends a generic element j ∈ N to one of ...

These notes were written to accompany a sequence of workshop lectures at the Indian Institute of Science, Bangalore in January 2013. My lectures had two purposes. The first was to introduce some of the main ideas of exchangeability theory at a level suitable for graduate students (assuming familiarity with measure-theoretic probability). The second was to show the key rôle exchangeability has p...

If Equation (1) be satisfied, then all sets S are equally likely under the null hypothesis. To obtain a permutation test that is both unbiased and most powerful, one need only select the set S so that its probability under the alternative >0 is a maximum. This is accomplished in most cases by rejecting the hypothesis for all values of the test statistic that lie in the upper tail of the permuta...

Mutations in the RS1 gene cause X-linked juvenile retinoschisis (XLRS), a hereditary retinal dystrophy. We recently showed that retinoschisin, the protein encoded by RS1, regulates ERK signaling and apoptosis in retinal cells. In this study, we explored an influence of retinoschisin on the functionality of the Na/K-ATPase, its interaction partner at retinal plasma membranes. We show that retino...