1,283 research outputs found

    The effect of a font intervention for 4th and 5th graders with dyslexia

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    Dyslexie is a font developed by Christian Boer specifically to enhance reading fluency in students with dyslexia. The present study examined its potential impact on the performance of 36 4th and 5th grade students with SLD on story reading. We found that Dyslexie, when compared to other common fonts that have been adjusted to control for Dyslexie’s large size and spacing, appears to have no effect on readers’ ability to read text correctly, comprehend text, or read faster

    Marshall University Music Department Presents Marshall University Percussion Ensemble, Steven Hall, conductor, Charles Powell, assistant conductor

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    https://mds.marshall.edu/music_perf/1739/thumbnail.jp

    The emergence of 4-cycles in polynomial maps over the extended integers

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    Let f(x)∈Z[x]f(x) \in \mathbb{Z}[x]; for each integer α\alpha it is interesting to consider the number of iterates nαn_{\alpha}, if possible, needed to satisfy fnα(α)=αf^{n_{\alpha}}(\alpha) = \alpha. The sets {α,f(α),…,fnα−1(α),α}\{\alpha, f(\alpha), \ldots, f^{n_{\alpha} - 1}(\alpha), \alpha\} generated by the iterates of ff are called cycles. For Z[x]\mathbb{Z}[x] it is known that cycles of length 1 and 2 occur, and no others. While much is known for extensions to number fields, we concentrate on extending Z\mathbb{Z} by adjoining reciprocals of primes. Let Z[1/p1,…,1/pn]\mathbb{Z}[1/p_1, \ldots, 1/p_n] denote Z\mathbb{Z} extended by adding in the reciprocals of the nn primes p1,…,pnp_1, \ldots, p_n and all their products and powers with each other and the elements of Z\mathbb{Z}. Interestingly, cycles of length 4, called 4-cycles, emerge for polynomials in Z[1/p1,…,1/pn][x]\mathbb{Z}\left[1/p_1, \ldots, 1/p_n\right][x] under the appropriate conditions. The problem of finding criteria under which 4-cycles emerge is equivalent to determining how often a sum of four terms is zero, where the terms are ±1\pm 1 times a product of elements from the list of nn primes. We investigate conditions on sets of primes under which 4-cycles emerge. We characterize when 4-cycles emerge if the set has one or two primes, and (assuming a generalization of the ABC conjecture) find conditions on sets of primes guaranteed not to cause 4-cycles to emerge.Comment: 14 pages, 1 figur

    Scattering of electromagnetic waves in metamaterial superlattices

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    The authors study experimentally both transmission and reflection of microwave radiation from metamaterialsuperlattices created by layers of periodically arranged wires and split-ring resonators. The authors measure the dependence of the metamaterial resonance on the spatial period of the superlattice and demonstrate resonance broadening and splitting for the binary metamaterial structures.The authors acknowledge support from the Australian Research Council and thank Ekmel Ozbay for providing additional details of the experimental results published earlier by his group

    Ramsey Theory Problems over the Integers: Avoiding Generalized Progressions

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    Two well studied Ramsey-theoretic problems consider subsets of the natural numbers which either contain no three elements in arithmetic progression, or in geometric progression. We study generalizations of this problem, by varying the kinds of progressions to be avoided and the metrics used to evaluate the density of the resulting subsets. One can view a 3-term arithmetic progression as a sequence x,fn(x),fn(fn(x))x, f_n(x), f_n(f_n(x)), where fn(x)=x+nf_n(x) = x + n, nn a nonzero integer. Thus avoiding three-term arithmetic progressions is equivalent to containing no three elements of the form x,fn(x),fn(fn(x))x, f_n(x), f_n(f_n(x)) with fn∈Ftf_n \in\mathcal{F}_{\rm t}, the set of integer translations. One can similarly construct related progressions using different families of functions. We investigate several such families, including geometric progressions (fn(x)=nxf_n(x) = nx with n>1n > 1 a natural number) and exponential progressions (fn(x)=xnf_n(x) = x^n). Progression-free sets are often constructed "greedily," including every number so long as it is not in progression with any of the previous elements. Rankin characterized the greedy geometric-progression-free set in terms of the greedy arithmetic set. We characterize the greedy exponential set and prove that it has asymptotic density 1, and then discuss how the optimality of the greedy set depends on the family of functions used to define progressions. Traditionally, the size of a progression-free set is measured using the (upper) asymptotic density, however we consider several different notions of density, including the uniform and exponential densities.Comment: Version 1.0, 13 page

    The National Commission On Fiscal Responsibility And Reform: How Its Report Can Impact Marginal Tax Rates

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    The United States government has a serious budget problem.  In 2010 President Barack Obama created the National Commission on Fiscal Responsibility and Reform to deal with the problem by identifying policies to improve the fiscal situation.  Among the Commission’s recommendations was a proposal to modify payments under Social Security.  For most recipients, the modifications would decrease Social Security benefits although benefits would increase for the poorest quintile of recipients.  The purpose of this paper is to construct a model for evaluating the proposed shift in Social Security payments.  From the perspective of Social Security recipients, the model shows the cutbacks as the partial loss of an annuity stream, as the loss of a lump sum that is capable of generating the partial annuity stream, and as a tax increase for the remainder of the recipients’ working years as they deposit a special tax into a retirement account designed to replace the lost benefits.  

    Institutional analysis of energy provision in housing : a preliminary exploration

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    This paper, one of a series resulting from institutional analysis of photovoltaic (PV) acceptance, provides preliminary exploration of the energy industry in relation to energy provision in the residential sector. It is based on theoretical formulations and utilizes methods of institutional analysis developed in an earlier paper in this series. Seven institutional functions -- production, financing, regulation, political, research, service and socialization -- are reviewed as to the manner in which they are performed in the energy industry. The structure of the energy industry is described, as is the regulatory web within which its financial decisions are made and its operations conducted. The persistent and increasing activity of all levels of government in determining the practices of the energy industry is dis- cussed. The research section identifies recent efforts to develop alternative energy sources. The services section especially emphasizes the delivery of energy to residences, while the discussion of the social- ization function highlights the ways in which attitudes on energy availability and use are developed.Prepared under Dept. of Energy Contract no. EX-76-A-01-2295, Task order no.37
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