Beneficial Exclusion Experiment

There are over 400 acres of hops currently in production within the Northeast with many new growers coming onto the scene. While hop production in the Northeast continues to rebound, many farmers are looking for additional information and clarity on how pests can impact their crop production. Compared to the Pacific Northwest and other hop growing regions around the world, we do not currently have a clear understanding of the role and impact that beneficial insects have within our hop yards. It is particularly important to quantify the benefit that natural enemies provide in order to help determine economic and action thresholds for hop pests

Cyclic inclusion-exclusion

Following the lead of Stanley and Gessel, we consider a morphism which associates to an acyclic directed graph (or a poset) a quasi-symmetric function. The latter is naturally defined as multivariate generating series of non-decreasing functions on the graph. We describe the kernel of this morphism, using a simple combinatorial operation that we call cyclic inclusion-exclusion. Our result also holds for the natural noncommutative analog and for the commutative and noncommutative restrictions to bipartite graphs. An application to the theory of Kerov character polynomials is given.Comment: comments welcom

The exclusion of exclusion in social capital

In this paper we argue that many scholars using the conceptual framework of social capital have largely ignored or minimised two important elements: closure and emergence. First we chart the rise of social capital (section two), then we outline some of the existing criticisms of social capital (section three). In section four, we offer a four-way classification system, based on the recognition of emergence and/or closure, of the most popular and widely utilised definitions of social capital. Such categorisation allows for the analysis of how social capital is understood across academic disciplines and how it has been taken up in the policy making arena. Finally we argue that it is only by conceptualising social capital as having emergent properties and as inherently exclusionary that it becomes theoretically and analytically useful to sociological enquiry.

Symmetric inclusion-exclusion

One form of the inclusion-exclusion principle asserts that if A and B are functions of finite sets then A(S) is the sum of B(T) over all subsets T of S if and only if B(S) is the sum of (-1)^|S-T| A(T) over all subsets T of S. If we replace B(S) with (-1)^|S| B(S), we get a symmetric form of inclusion-exclusion: A(S) is the sum of (-1)^|T| B(T) over all subsets T of S if and only if B(S) is the sum of (-1)^|T| A(T) over all subsets T of S. We study instances of symmetric inclusion-exclusion in which the functions A and B have combinatorial or probabilistic interpretations. In particular, we study cases related to the Polya-Eggenberger urn model in which A(S) and B(S) depend only on the cardinality of S.Comment: 10 page

Internal exclusion guidance

"This guidance on internal exclusion is aimed at all schools and offers advice and good practice that schools may find helpful. There is no requirement for schools to follow this guidance, it should be used as a guide as to what internal exclusion should look like. Internal exclusion is an internal process within the school and is used when the objective is to remove the pupil from class, not from the school site, for disciplinary reasons..." - Introduction

Kinetic Approach to Fractional Exclusion Statistics

We show that the kinetic approach to statistical mechanics permits an elegant and efficient treatment of fractional exclusion statistics. By using the exclusion-inclusion principle recently proposed [Phys. Rev. E49, 5103 (1994)] as a generalization of the Pauli exclusion principle, which is based on a proper definition of the transition probability between two states, we derive a variety of different statistical distributions interpolating between bosons and fermions. The Haldane exclusion principle and the Haldane-Wu fractional exclusion statistics are obtained in a natural way as particular cases. The thermodynamic properties of the statistical systems obeying the generalized exclusion-inclusion principle are discussed.Comment: 6 pages, REVTE

Mutual exclusion

Almost all computers today operate as part of a network, where they assist people in coordinating actions. Sometimes what appears to be a single computer is actually a network of cooperating computers; e.g., some supercomputers consist of many processors operating in parallel and exchanging synchronization signals. One of the most fundamental requirements in all these systems is that certain operations be indivisible: the steps of one must not be interleaved with the steps of another. Two approaches were designed to implement this requirement, one based on central locks and the other on distributed order tickets. Practicing scientists and engineers need to come to be familiar with these methods