50 research outputs found

    Three dimensional pseudomanifolds on eight vertices

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    A normal pseudomanifold is a pseudomanifold in which the links of simplices are also pseudomanifolds. So, a normal 2-pseudomanifold triangulates a connected closed 2-manifold. But, normal dd-pseudomanifolds form a broader class than triangulations of connected closed dd-manifolds for d3d \geq 3. Here, we classify all the 8-vertex neighbourly normal 3-pseudomanifolds. This gives a classification of all the 8-vertex normal 3-pseudomanifolds. There are 73 such 3-pseudomanifolds, 38 of which triangulate the 3-sphere and other 35 are not combinatorial 3-manifolds. These 35 triangulate six distinct topological spaces. As a preliminary result, we show that any 8-vertex 3-pseudomanifold is equivalent by proper bistellar moves to an 8-vertex neighbourly 3-pseudomanifold. This result is the best possible since there exists a 9-vertex non-neighbourly 3-pseudomanifold (B93B^3_9 in Example 7 below) which does not allow any proper bistellar moves.Comment: 19 pages, Revised version. To appear in the `International Journal of Mathematics and Mathematical Sciences

    Extreme Levels of Underweight and Stunting Among Pre-Adolescent Children of Low Socioeconomic Class from Madhyamgram and Barasat, West Bengal, India

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    A cross-sectional study on 1206 children (788 boys, 618 girls) aged 1–12 years, belonging to low socioeconomic status, of Barasat and Madhyamgram, West Bengal, India, was undertaken to investigate age and sex variations in height and weight. It also evaluated the levels of underweight and stunting among them. Anthropometric measurements included weight and height. Weight-for-age (WA) and height-for-age (HA) <–2 z-scores were used to evaluate underweight (UW) and stunting (ST), respectively, following the National Center for Health Statistics (NCHS) Guidelines. Results showed that boys aged 4 and 11 years were significantly heavier than girls of corresponding ages. Boys aged 7 years were significantly taller than girls of the same age. Significant (p<0.001) age differences existed in mean weight and height in boys (weight: F=336.762; height: F=565.160) as well as girls (weight: F=275.320; height =498.715). Results also revealed that the mean z-scores of WA (WAZ) and HA (HAZ) were less than (negative values) those of NCHS for both sexes at all ages. The overall (age combined) rate of UW was 60.4% and 51.3%; while that of ST was 51.7% and 48.4%, in boys and girls, respectively. Based on World Health Organization classification of severity of malnutrition, the prevalence of UW and ST were very high (30%) in both sexes. In conclusion, this study demonstrated that the prevalence of UW and ST were very high among the subjects. Since the nutritional status of the subjects is not satisfactory, there is need for immediate supplementary nutrition

    Exploring differences in the role of hospitalization on weight gain based on treatment type from randomized clinical trials for adolescent anorexia nervosa

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    Background: This study explores the impact of weight gain during medical stabilization hospitalization on weight outcomes between three outpatient treatments for adolescent anorexia nervosa (AN): Adolescent Focused Therapy (AFT), Systemic Family Therapy (SyFT), and Family Based Treatment (FBT). Methods: A secondary analysis of weight gain data (N = 215) of adolescents (12-18 years) meeting DSM-IV criteria for AN (exclusive of amenorrhea criteria) who participated in two randomized clinical trials (RCTs) was conducted. Main outcomes examined were changes in weight restoration (≥95% expected body weight or EBW) and differences in weight change attributable to hospital weight gain. Results: Weight gain resulting from hospitalizations did not substantially change weight recovery rates. Hospital weight gain contributed most to overall treatment weight gain in AFT compared to FBT and SyFT. Conclusion: Brief medical stabilization weight gain does not contribute substantially to weight recovery in adolescents with AN who participated in RCTs

    Effect of rodents on seed fate of five hornbill-dispersed tree species in a tropical forest in north-east India

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    Hornbills are important dispersers of a wide range of tree species. Many of these species bear fruits with large, lipid-rich seeds that could attract terrestrial rodents. Rodents have multiple effects on seed fates, many of which remain poorly understood in the Palaeotropics. The role of terrestrial rodents was investigated by tracking seed fate of five horn bill-dispersed tree species in a tropical forest in north-cast India. Seeds were marked inside and outside of exclosures below 6-12 parent fruiting trees (undispersed seed rain) and six hornbill nest trees (a post-dispersal site). Rodent visitors and seed removal ere monitored using camera traps. Our findings suggest that several rodent species. especially two species of porcupine were major on-site seed predators. Scatter-hoarding was rare (1.4%). Seeds at hornbill nest trees had lower survival compared with parent fruiting trees, indicating that clumped dispersal by hornbills may not necessarily improve seed survival. Seed survival in the presence and absence of rodents varied with tree species. Some species (e.g. Polyalthia simiarum) showed no difference, others (e.g. Dysoxylum binectariferum) experienced up to a 64%. decrease in survival in the presence of rodents. The differing magnitude of seed predation by rodents can have significant consequences at the seed establishment stage
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