Sequences with long range exclusions

Given an alphabet $S$, we consider the size of the subsets of the full sequence space $S^{\rm {\bf Z}}$ determined by the additional restriction that $x_i\not=x_{i+f(n)},\ i\in {\rm {\bf Z}},\ n\in {\rm {\bf N}}.$ Here $f$ is a positive, strictly increasing function. We review an other, graph theoretic, formulation and then the known results covering various combinations of $f$ and the alphabet size. In the second part of the paper we turn to the fine structure of the allowed sequences in the particular case where $f$ is a suitable polynomial. The generation of sequences leads naturally to consider the problem of their maximal length, which turns out highly random asymptotically in the alphabet size.Comment: 18 pages, 3 figures. Replaces earlier version, submission 1204.3439, major updat

Stand-downs, suspensions and exclusions : a dilemma for primary school principals : a thesis presented in partial fulfilment of the requirements for the degree of Master of Educational Administration, Department of Social and Policy Studies in Education, College of Education, Massey University, Palmerston North, New Zealand

The purpose of this study was to investigate how a selection of primary school principals managed and viewed the process of stand-downs, suspensions and exclusions. The researcher saw the need for such research because of the recent legislation that has changed the procedures for principals to follow, the growing public concern over the national statistics for disciplinary exclusions and the lack of research on disciplinary exclusions of primary age pupils or for principals' perspectives of the disciplinary exclusion process. The research involved two main research methods (survey and case-study) which included a postal questionnaire distributed to all primary school principals in a localised area, a review of their Education Review Office Reports, structured interviews of five primary school principals and a review of their Behaviour Management Plans. These data were analysed with the aid of computer software packages: MICROSOFT EXCEL for the quantitative data and QSR NU*DIST for the qualitative data; and techniques of thematic induction and dilemma analysis were used. The characteristics and behaviours of the primary age pupils receiving disciplinary exclusions in this study are an accentuated version of the trends of gender and ethnicity factors already identified for all New Zealand school pupils in the national database. This study also isolated other characteristics - the final year of school (either at primary or intermediate) and the transference of these pupils at-risk of disciplinary exclusions from school to school. Disciplinary exclusions can be attributed to many interacting complex factors related to individuals, families, schools and the direct impact of changing economic and educational government policies and legislation. It was evident that principals worked hard at maintaining and providing an education for extremely difficult pupils but these pupils presented a dilemma for principals. On the one hand, principals' comments showed that caring principals and hardworking teaching staff went out of their way to support and educate these seriously misbehaving pupils in their schools, but, on the other hand, principals perceived that they had no other choice but to use the disciplinary exclusion process. The concept of'dilemma' was developed further in this study with implications for principals' future practice and professional development and further research

Exclusion statistics,operator algebras and Fock space representations

We study exclusion statistics within the second quantized approach. We consider operator algebras with positive definite Fock space and restrict them in a such a way that certain state vectors in Fock space are forbidden ab initio.We describe three characteristic examples of such exclusion, namely exclusion on the base space which is characterized by states with specific constraint on quantum numbers belonging to base space M (e.g. Calogero-Sutherland type of exclusion statistics), exclusion in the single-oscillator Fock space, where some states in single oscillator Fock space are forbidden (e.g. the Gentile realization of exclusion statistics) and a combination of these two exclusions (e.g. Green's realization of para-Fermi statistics). For these types of exclusions we discuss extended Haldane statistics parameters g, recently introduced by two of us in Mod.Phys.Lett.A 11, 3081 (1996), and associated counting rules. Within these three types of exclusions in Fock space the original Haldane exclusion statistics cannot be realized.Comment: Latex,31 pages,no figures,to appear in J.Phys.A : Math.Ge

When Free Speech Disrupts Diversity Initiatives: What We Value and What We Do Not

In this essay, I argue that the debate on free speech as pushed by the conservative right is a strategic apparatus to undermine the various diversity initiatives on college and university campuses. While supporters of the right wing extremists around the globe have pushed for various modes of exclusions (social, racial, ethnic, cultural, religious and sexual), here in the United States, such exclusions are most evident in the collapse of academic freedom and the rise of civility codes as students and educators use the platform of free speech to promote various forms of injustices and exclusions. Our neoliberal college and universities and their administrators, I argue, are caught in this precarious and tenuous conflict of protecting academic freedom against the pressures from the outside (the political right) to stage ideas and ideologies that are harmful for the public good in the name of “free speech.

How We Can Pay for Health Care Reform

Describes savings and revenue sources and policies to reduce healthcare spending that could finance comprehensive reform with a public option, such as reducing physician and hospital payments, investing in prevention programs, and capping tax exclusions

Monte Carlo simulations of 2d hard core lattice gases

Monte Carlo simulations are used to study lattice gases of particles with extended hard cores on a two dimensional square lattice. Exclusions of one and up to five nearest neighbors (NN) are considered. These can be mapped onto hard squares of varying side length, $\lambda$ (in lattice units), tilted by some angle with respect to the original lattice. In agreement with earlier studies, the 1NN exclusion undergoes a continuous order-disorder transition in the Ising universality class. Surprisingly, we find that the lattice gas with exclusions of up to second nearest neighbors (2NN) also undergoes a continuous phase transition in the Ising universality class, while the Landau-Lifshitz theory predicts that this transition should be in the universality class of the XY model with cubic anisotropy. The lattice gas of 3NN exclusions is found to undergo a discontinuous order-disorder transition, in agreement with the earlier transfer matrix calculations and the Landau-Lifshitz theory. On the other hand, the gas of 4NN exclusions once again exhibits a continuous phase transition in the Ising universality class -- contradicting the predictions of the Landau-Lifshitz theory. Finally, the lattice gas of 5NN exclusions is found to undergo a discontinuous phase transition.Comment: 13 pages, lots of figure

The Advantages of Odd Exclusions

Every novel constitutes an interestingly complex set of linguistic experiments demonstrating some of the possibilities of its language to and by the exclusion of all the rest. Extreme cases may demonstrate these possibilities more clearly, and at least in English, no novel seems more arbitrarily extreme than Gadsby, which Ernest Vincent Wright apparently wrote in 1936-1937, with the E typebar of his typewriter tied down with string because, he said in his introduction, someone had told him he could not write coherent grammatical English without using its most common letter

How Will the PPACA Impact Individual and Small Group Premiums in the Short and Long Term?

Outlines the changes to non- and small group premiums to be implemented in 2010 and 2014 and their potential effects on out-of-pocket costs, pre-existing condition exclusions, and premiums, as well as determining factors such as provider payment rates

Financing the U.S. Health System: Issues and Options for Change

Explores key issues of health reform and options for financing health care -- redirecting funds to more effective uses, rolling back tax cuts, modifying tax exclusions for health benefits, an employer play-or-pay model, and a value-added tax