Triangular bases of integral closures

In this work, we consider the problem of computing triangular bases of integral closures of one-dimensional local rings. Let $(K, v)$ be a discrete valued field with valuation ring $\mathcal{O}$ and let $\mathfrak{m}$ be the maximal ideal. We take $f \in \mathcal{O}[x]$, a monic irreducible polynomial of degree $n$ and consider the extension $L = K[x]/(f(x))$ as well as $\mathcal{O}_{L}$ the integral closure of $\mathcal{O}$ in $L$, which we suppose to be finitely generated as an $\mathcal{O}$-module. The algorithm $\operatorname{MaxMin}$, presented in this paper, computes triangular bases of fractional ideals of $\mathcal{O}_{L}$. The theoretical complexity is equivalent to current state of the art methods and in practice is almost always faster. It is also considerably faster than the routines found in standard computer algebra systems, excepting some cases involving very small field extensions

Disaggregation of net-metered advanced metering infrastructure data to estimate photovoltaic generation

2019 Fall.Includes bibliographical references.Advanced metering infrastructure (AMI) is a system of smart meters and data management systems that enables communication between a utility and a customer's premise, and can provide real time information about a solar array's production. Due to residential solar systems typically being configured behind-the-meter, utilities often have very little information about their energy generation. In these instances, net-metered AMI data does not provide clear insight into PV system performance. This work presents a methodology for modeling individual array and system-wide PV generation using only weather data, premise AMI data, and the approximate date of PV installation. Nearly 850 homes with installed solar in Fort Collins, Colorado, USA were modeled for up to 36 months. By matching comparable periods of time to factor out sources of variability in a building's electrical load, algorithms are used to estimate the building's consumption, allowing the previously invisible solar generation to be calculated. These modeled outputs are then compared to previously developed white-box physical models. Using this new AMI method, individual premises can be modeled to agreement with physical models within ±20%. When modeling portfolio-wide aggregation, the AMI method operates most effectively in summer months when solar generation is highest. Over 75% of all days within three years modeled are estimated to within ±20% with established methods. Advantages of the AMI model with regard to snow coverage, shading, and difficult to model factors are discussed, and next-day PV prediction using forecasted weather data is also explored. This work provides a foundation for disaggregating solar generation from AMI data, without knowing specific physical parameters of the array or using known generation for computational training

Illness perceptions and recovery style in schizophrenia: A longitudinal study

Approaches to the study and treatment of schizophrenia can be classified according to their views of 'recovery', for example what it means and how likely it is to occur. A further source of difference relates to the level at which these approaches focus e.g. the mfrapersonal or mterpersonal. It is proposed that combining these provides a useful two-dimensional space in which to map out such approaches. This is illustrated in the first section using models of change in schizophrenia, which are summarized before being drawn out. In the second section, empirical data pertaining to the meaning of recovery and level of analysis in schizophrenia is reviewed and then related back to the various models of change. It is concluded that no one model of change or definition of recovery holds sway, but that instead each may have value according to the conditions that are most limiting for a particular individual e.g. symptoms, social disadvantages, or protective factors. Moreover, as these conditions change, so may the model of change or definition of recovery that it is most useful to use

Decay constants of the pion and B mesons with the Bethe-Salpeter equation

In this article, we investigate the under-structures of the $\pi$ and B mesons in the framework of the Bethe-Salpeter equation with the bare quark-gluon vertex, bare quark propagator and the confining effective potential (infrared modified flat bottom potential) firstly. Although the bare quark propagator can not embody dynamical chiral symmetry breaking and has a mass pole in the time-like region, it can give reasonable results for the values of decay constants $f_\pi$ and $f_B$ compared with the values of experimental data and other theoretical calculations, such as lattice simulations and QCD sum rules. Secondly, we explore those mesons within the framework of the coupled rain-bow Schwinger-Dyson equation and ladder Bethe-Salpeter equation. The Schwinger-Dyson functions for the $u$ and $d$ quarks are greatly renormalized at small momentum region and the curves are steep which indicates an explicitly dynamical symmetry breaking. The Euclidean time fourier transformed quark propagator has no mass poles in the time-like region which naturally implements confinement. As for the $b$ quark, the current mass is very large, the renormalization is more tender, however, mass pole in the time-like region is also absent. The Bethe-Salpeter wavefunctions for both the $\pi$ and B mesons have the same type (Gaussian type) momentum dependence as the corresponding wavefunctions with the bare quark propagator, however, the quantitative values are changed and the values for the decay constants $f_\pi$ and $f_B$ are changed correspondingly.Comment: 12 Pages, 4 figures; the revised version to appear in Phys.Lett.

Vector Positronium States in QED3

The homogeneous Bethe-Salpeter equation is solved in the quenched ladder approximation for the vector positronium states of 4-component quantum electrodynamics in 2 space and 1 time dimensions. Fermion propagator input is from a Rainbow approximation Dyson-Schwinger solution, with a broad range of fermion masses considered. This work is an extension of earlier work on the scalar spectrum of the same model. The non-relativistic limit is also considered via the large fermion mass limit. Classification of states via their transformation properties under discrete parity transformations allows analogies to be drawn with the meson spectrum of QCD.Comment: 24 pages, 2 encapsulated postscript figure

Effect of Spectral Channels on Speech Recognition, Comprehension, and Listening Effort in Cochlear-Implant Users

Contains fulltext : 218097.pdf (publisher's version ) (Open Access

Chasing Peace: A Memoir

Chasing Peace: A Memoir is an auto/biographical prose work of literary non-fiction. At root, it is a trauma memoir, exploring both long-standing family trauma and its intersection with the narrator’s singular experience of having been abducted and sexually assaulted as a teenager. The work’s five-part structure braids together a superficially chronological rendering of the narrator’s life, from early childhood in the 1960s to present day, with intrusive, often repetitive strands of story that disrupt and frame this surface linearity. The intrusive strands foreground the narrator’s search to understand the traumas that shape and often limit her life as an adult woman diagnosed with post-traumatic stress disorder (PTSD); they also foreground her decades-long struggles with competing impulses to disclose and examine her condition, on the one hand, and to mask and avoid her symptoms, on the other. These struggles are explored in family, social and professional contexts, where themes of silence and disclosure figure prominently: the silences are sometimes voluntary, sometimes imposed, and not always conscious; the disclosures are, in the earlier years, often thwarted, displaced and/or masked, but with time and practice become more confident and intentional. Because of the significant attention paid to the integration of early family story, including intergenerational trauma, Chasing Peace is not a conventional trauma memoir; rather, it straddles the genre line between this sub-genre and the more comprehensive coming-of-age auto/biographical story. In this, as well as in its literary voice and craft, it reaches for a broader readership than the narrower trauma story might typically enjoy. The critical reflection following the creative thesis comprises four sections: an account of the genesis of the project; an account of the iterative writing process, including significant developments in structure, theme and craft over multiple drafts; a discussion of trauma narrative, in both the psychotherapeutic and the literary sense; and a discussion of comparator texts in the publishing field to which this thesis would contribute. This last section positions Chasing Peace among sixteen auto/biographical works, ranging in content from graphic, narrowly focused rape memoirs through more comprehensive and literary coming-of-age stories, all of which feature trauma, and ranging in style from academic argument through journalistic realism to allusive, literary text. The evidence of these works confirms that the market for memoir in general continues to thrive, even more steadily so for trauma-based stories, thanks in part to the 2017 viral reckoning of the #MeToo movement