Findings of Fact

To many of us rules of procedure are nebulous and for that reason we emphasize substantive rules of law even though most of us know the importance of the former. The authors hope in the following material to remove some of this cloudiness from one limited phase of procedure, that of fact finding. This article is meant to be of assistance to trial judges on whom the final responsibility for preparation of the findings rests. It is also aimed at counsel who may assist in the preparation or who may object to the findings made by the court. Lastly, students should be aware of the fact-finding process that the trial court has gone through when studying appellate court decisions. Although the basis of the material is derived from federal procedure, the advice and the suggestions should in the main be applicable to most statute proceedings. We shall attempt to illustrate (1) the purpose of the dings, (2) when they are required, (3) how they should be prepared, (4) their effect on appeal, and (5) the effect of a failure to make the necessary findings

The set theory of arithmetic decomposition

Journal ArticleThe Set Theory of Arithmetic Decomposition is a method for designing complex addition/ subtraction circuits at any radix using strictly positional, sign-local number systems. The specification of an addition circuit is simply an equation that describes the inputs and the outputs as weighted digit sets. Design is done by applying a set of rewrite rules known as decomposition operators to the equation. The order in which and weight at which each operator is applied maps directly to a physical implementation, including both multiple-level logic and connectivity. The method is readily automated and has been used to design some higher radix arithmetic circuits. It is possible to compute the cost of a given adder before the detailed design is complete

Radix-16 signed-digit division

Journal ArticleFor use in the context of a linearly scalable arithmetic architecture supporting high/variable precision arithmetic operations (integer or fractional), a two-stage algorithm for fixed point, radix-16 signed-digit division is presented. The algorithm uses two limited precision radix-4 quotient digit selection stages to produce the full radix-16 quotient digit.The algorithm requires a two digit estimate of the (initial) partial remainder and a three digit estimate of the divisor to correctly select each successive quotient digit. The normalization of redundant signed-digit numbers requires accommodation of some fuzziness at one end of the range of numeric values that are considered normalized. A set of general equations for determining the ranges of normalized signed-digit numbers is derived. Another set of general equations for determining the precisions of estimates of the divisor and dividend required in a limited precision SRT model signed-digit division are derived. These two sets of equations permit design tradeoff analyses to be made with respect to the complexity of the model division. The specific case of a two-stage radix-16 signed-digit division is presented. The staged division algorithm used can be extended to other radices as long as the signed-digit number representation used has certain properties

Carter-Payne homomorphisms and Jantzen filtrations

We prove a q-analogue of the Carter-Payne theorem in the case where the differences between the parts of the partitions are sufficiently large. We identify a layer of the Jantzen filtration which contains the image of these Carter-Payne homomorphisms and we show how these homomorphisms compose.Comment: 30 page

Simultaneous CH planar laser-induced fluorescence and particle imaging velocimetry in turbulent flames

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/77055/1/AIAA-1998-151-822.pd

The use of high frequency oscillations to guide neocortical resections in children with medically-intractable epilepsy: How do we ethically apply surgical innovations to patient care?

AbstractPurposeResective surgical strategies are increasingly applied to treat medically-intractable epilepsy in children as uncontrolled seizures are associated with poor cognitive, developmental and behavioral outcomes. Innovative surgical strategies are, however, needed to improve outcomes and minimize the morbidity of such procedures.MethodThe current article utilizes an axiological approach to explore and highlight ethical issues in the use of high frequency oscillations (HFOs) to guide surgical resections in children with medically-intractable epilepsy. We frame our discussion in the context of the broader challenges in the application of surgical innovation to patient care.ResultsDespite a paucity of knowledge regarding their pathogenesis, limited evidence suggests the use of HFOs as biomarkers of epileptogenicity in resective procedures can improve seizure outcome. Clinicians must therefore weigh deficiencies in knowledge against the limited evidence supporting the utility of HFOs and make ethical decisions for the treatment of individual patients. Important ethical considerations for clinicians include the extent of deviation from established practice, the extent of evidence required to establish clinical validity, and the impact of technique implementation on equitable distribution of healthcare.ConclusionThe use of HFO signatures to guide neocortical resections represents a novel approach for the treatment of epilepsy. It is hoped that the issues discussed herein will contribute to and advance meaningful dialog on the ethical application of this surgical innovation to the treatment of a very vulnerable patient population

Functional network changes and cognitive control in schizophrenia

Cognitive control is a cognitive and neural mechanism that contributes to managing the complex demands of day-to-day life. Studies have suggested that functional impairments in cognitive control associated brain circuitry contribute to a broad range of higher cognitive deficits in schizophrenia. To examine this issue, we assessed functional connectivity networks in healthy adults and individuals with schizophrenia performing tasks from two distinct cognitive domains that varied in demands for cognitive control, the RiSE episodic memory task and DPX goal maintenance task. We characterized general and cognitive control-specific effects of schizophrenia on functional connectivity within an expanded frontal parietal network (FPN) and quantified network topology properties using graph analysis. Using the network based statistic (NBS), we observed greater network functional connectivity in cognitive control demanding conditions during both tasks in both groups in the FPN, and demonstrated cognitive control FPN specificity against a task independent auditory network. NBS analyses also revealed widespread connectivity deficits in schizophrenia patients across all tasks. Furthermore, quantitative changes in network topology associated with diagnostic status and task demand were observed. The present findings, in an analysis that was limited to correct trials only, ensuring that subjects are on task, provide critical insights into network connections crucial for cognitive control and the manner in which brain networks reorganize to support such control. Impairments in this mechanism are present in schizophrenia and these results highlight how cognitive control deficits contribute to the pathophysiology of this illness

Habitat-specific breeder survival of Florida Scrub-Jays: inferences from multistate models

Quantifying habitat-specific survival and changes in habitat quality within disturbance-prone habitats is critical for understanding population dynamics and variation in fitness, and for managing degraded ecosystems. We used 18 years of color-banding data and multistate capture-recapture models to test whether habitat quality within territories influences survival and detection probability of breeding Florida Scrub-Jays (Aphelocoma coerulescens) and to estimate bird transition probabilities from one territory quality state to another. Our study sites were along central Florida\u27s Atlantic coast and included two of the four largest metapopulations within the species range. We developed Markov models for habitat transitions and compared these to bird transition probabilities. Florida Scrub-Jay detection probabilities ranged from 0.88 in the tall territory state to 0.99 in the optimal state; detection probabilities were intermediate in the short state. Transition probabilities were similar for birds and habitat in grid cells mapped independently of birds. Thus, bird transitions resulted primarily from habitat transitions between states over time and not from bird movement. Survival ranged from 0.71 in the short state to 0.82 in the optimal state, with tall states being intermediate. We conclude that average Florida Scrub-Jay survival will remain at levels that lead to continued population declines because most current habitat quality is only marginally suitable across most of the species range. Improvements in habitat are likely to be slow and difficult because tall states are resistant to change and the optimal state represents an intermediate transitional stage. The multistate modeling approach to quantifying survival and habitat transition probabilities is useful for quantifying habitat transition probabilities and comparing them to bird transition probabilities to test for habitat selection in dynamic environments

Mathematical Modeling of the Effectiveness of Facemasks in Reducing the Spread of Novel Influenza A (H1N1)

On June 11, 2009, the World Health Organization declared the outbreak of novel influenza A (H1N1) a pandemic. With limited supplies of antivirals and vaccines, countries and individuals are looking at other ways to reduce the spread of pandemic (H1N1) 2009, particularly options that are cost effective and relatively easy to implement. Recent experiences with the 2003 SARS and 2009 H1N1 epidemics have shown that people are willing to wear facemasks to protect themselves against infection; however, little research has been done to quantify the impact of using facemasks in reducing the spread of disease. We construct and analyze a mathematical model for a population in which some people wear facemasks during the pandemic and quantify impact of these masks on the spread of influenza. To estimate the parameter values used for the effectiveness of facemasks, we used available data from studies on N95 respirators and surgical facemasks. The results show that if N95 respirators are only 20% effective in reducing susceptibility and infectivity, only 10% of the population would have to wear them to reduce the number of influenza A (H1N1) cases by 20%. We can conclude from our model that, if worn properly, facemasks are an effective intervention strategy in reducing the spread of pandemic (H1N1) 2009