Bounds on the Number of Irreducible Semigroups of Fixed Frobenius Number

In 2011, Blanco and Rosales gave an algorithm for constructing a directed tree graph whose vertices are the irreducible numerical semigroups with a fixed Frobenius number. Laird and Martinez in 2013 studied the levels of these trees and conjectured what their heights might be. In this paper, we give an exposition on irreducible numerical semigroups. We also present some data supporting the conjecture of Laird and Martinez, and give a lower and upper bound on the number of irreducible numerical semigroups with fixed Frobenius number

Forming the first planetary systems: debris around Galactic thick disc stars

The thick disc contains stars formed within the first Gyr of Galactic history, and little is known about their planetary systems. The Spitzer MIPS instrument was used to search 11 of the closest of these old low-metal stars for circumstellar debris, as a signpost that bodies at least as large as planetesimals were formed. A total of 22 thick disc stars has now been observed, after including archival data, but dust is not found in any of the systems. The data rule out a high incidence of debris among star systems from early in the Galaxy's formation. However, some stars of this very old population do host giant planets, at possibly more than the general incidence among low-metal Sun-like stars. As the Solar System contains gas giants but little cometary dust, the thick disc could host analogue systems that formed many Gyr before the Sun.Comment: accepted by MNRAS Letters; 5 pages, 4 figure

Changing home and workplace in Victorian London : the life of Henry Jaques shirtmaker.

The paper uses unusually rich evidence from a manuscript life history written in 1901 from personal diaries to explore the changing relationship between home and workplace in Victorian London. The life history of Henry Jaques demonstrates the way in which decisions about employment and residence were related both to each other and to stages of the family life course. The uncertainty of work, lack of income to support a growing family, rising aspirations, the constant threat of illness, the ease of moving between rented property, close ties between home and workplace, the stresses produced by home working, and the attractions of suburbanization all interacted to shape the residential and employment history of Jaques and his family. The themes exemplified by this detailed life history were also relevant to many other people. Evidence collected from a large-scale project on lifetime residential histories is used to place the experiences of Henry Jaques in a broader context, and to show how they related to the changing social and economic structure of Victorian London

Correlation of Undercarboxylated Osteocalcin (ucOC) Concentration and Bone Density with Age in Healthy Korean Women

Uncarboxylated osteocalcin (ucOC) is important in evaluating vitamin K status and it is inversely associated with bone mineral density (BMD). We studied the correlationship between ucOC and BMD in healthy Korean women. This study recruited 337 healthy women between ages 20-70 were recruited. Serum ucOC, calcium, alkaline phosphatase, body mass index (BMI), and BMD were measured and compared. Mean BMI was lowest (20.3±1.9 kg/m2) in the 20 yr old group and highest (24.8±2.6 kg/m2) in the 60 yr old group. Women age 20-70 yr old had ucOC inversely related to BMD independent of other factors that may influence BMD. Serum ucOC concentration and BMD of lumbar spine showed a significant inverse relationship. Serum mean alkaline phosphatase was lowest (122±30 IU/L) in the age 30 group and highest (190.3±55.8 IU/L) in the age 60 group. Serum ucOC was inversely associated with BMI, and positively associated with alkaline phosphatase. Uncarboxylated osteocalcin (ucOC) was inversely associated with spinal BMD in healthy Korean women. Serum mean ucOC was highest in the age 20 group, followed by age 50 group, which may indicate vitamin K insufficiency could be related to high bone turnover in these groups. These results suggest that vitamin K supplement may be considered to help both bone growth and bone loss during these periods

Patient and Physician Factors Associated with First Diagnosis of Non-affective Psychotic Disorder in Primary Care

Primary care physicians play a central role in pathways to care for first-episode psychosis, and their increased involvement in early detection could improve service-related outcomes. The aim of this study was to estimate the proportion of psychosis first diagnosed in primary care, and identify associated patient and physician factors. We used linked health administrative data to construct a retrospective cohort of people aged 14-35 years with a first diagnosis of non-affective psychosis in Ontario, Canada between 2005-2015. We restricted the sample to patients with help-seeking contacts for mental health reasons in primary care in the six months prior to first diagnosis of psychotic disorder. We used modified Poisson regression models to examine patient and physician factors associated with a first diagnosis of psychosis in primary care. Among people with early psychosis (n = 39,449), 63% had help-seeking contacts in primary care within six months prior to first diagnosis. Of those patients, 47% were diagnosed in primary care and 53% in secondary/tertiary care. Patients factors associated with lower likelihood of diagnosis in primary care included male sex, younger age, immigrant status, and comorbid psychosocial conditions. Physician factors associated with lower likelihood of diagnosis in primary care included solo practice model, urban practice setting, international medical education, and longer time since graduation. Our findings indicate that primary care is an important contact for help-seeking and diagnosis for a large proportion of people with early psychosis. For physicians less likely to diagnose psychosis in primary care, targeted resources and interventions could be provided to support them in caring for patients with early psychosis

The Halo Occupation Distribution of Black Holes: Dependence on Mass

We investigate the halo occupation distribution (HOD) of black holes within a hydrodynamic cosmological simulation that directly follows black hole growth. Similar to the HOD of galaxies/subhalos, we find that the black hole occupation number can be described by the form N_BH proportional to 1+ (M_Host)^alpha where alpha evolves mildly with redshift indicating that a given mass halo (M_Host) at low redshift tends to host fewer BHs than at high redshift (as expected as a result of galaxy and BH mergers). We further divide the occupation number into contributions from black holes residing in central and satellite galaxies within a halo. The distribution of M_BH within halos tends to consist of a single massive BH (distributed about a peak mass strongly correlated with M_Host), and a collection of relatively low-mass secondary BHs, with weaker correlation with M_Host. We also examine the spatial distribution of BHs within their host halos, and find they typically follow a power-law radial distribution (i.e. much more centrally concentrated than the subhalo distribution). Finally, we characterize the host mass for which BH growth is feedback dominated (e.g. star formation quenched). We show that halos with M_Host > 3 * 10^12 M_sun have primary BHs that are feedback dominated by z~3 with lower mass halos becoming increasingly more affected at lower redshift.Comment: 10 pages, 7 figures, submitted to MNRA

Computer simulation in low-temperature plasma physics: future challenges

Computer simulations can be carried out with various aims. Perhaps the most challenging is prediction under conditions where experiments are difficult or inaccessible, especially when failure to predict adequately may have unhappy consequences. There is, probably, not much confidence at present in the capability of low-temperature plasma physics simulations in such a context. Other fields have attempted to meet this challenge using a collection of techniques collectively known as Verification and Validation, or V&V. These are methods for enhancing confidence in the correctness and fidelity of computer simulations. This paper surveys these techniques and discusses their application to improvements of simulation capability in low-temperature plasma physics

Fire Frequency and Time-Since-Fire Effects on the Open-Forest and Woodland Flora of Girraween National Park, South-East Queensland

The effect of recent fire frequency and time-since-fire on plant community composition and species abundance in open-forest and woodland vegetation in Girraween National Park, south-east Queensland, were examined. Cover-abundance data were collected for shrub and vine species in at least ten 400 m2 plots in each of four study areas. Study areas were within one community type and had burnt most recently either four or nine years previously. Variations in fire frequency allowed us to compare areas which had burnt at least three times in the last 25 years with less frequently burnt areas, and also woodlands which experienced a 28-year interfire interval with more frequently burnt areas. While species richness did not differ significantly with either time-since-fire or fire frequency, both these factors affected community composition, fire frequency being the more powerful. Moisture availability also influenced floristics. Of the 67 species found in five or more plots, six were significantly associated with time-since-fire, while 11 showed a significant difference between more and less frequently burnt plots on each of the two fire frequency variables. Most species, however, did not vary in cover-abundance with the fire regime parameters examined. Even those species that showed a marked drop in cover-abundance when exposed to a particular fire regime generally maintained some presence in the community. Six species with the capacity to resprout after fire were considered potentially at risk of local extinction under regimes of frequent fire, while two species were relatively uncommon in long-unburnt areas. Variable fire regimes, which include interfire intervals of at least 15 years, may be necessary for the continuity of all species in the community

Bone Health Nutrition Issues in Aging

Bone health is an important issue in aging. Calcium and vitamin D currently have the most focus in published research on nutrition and bone health in aging, although evidence from published research is not conclusive. A systematic review was conducted to determine the impact of dietary and supplemental interventions focused on calcium and vitamin D over the past 10 years. Using key words to search, and search limits (aging population, English), 62 papers were found related to diet, nutrition, and bone; and 157 were found related to calcium and bone. Our review found a positive effect on bone health for supplements; food-based interventions; and educational strategies. Although there may be a publishing bias related to non-significant findings not being published, our results suggest the effectiveness of food based and educational interventions with less economic impact to the individual, as well as less risk of physiological side effects occurring