Complex Line Bundles over Simplicial Complexes and their Applications

Discrete vector bundles are important in Physics and recently found remarkable applications in Computer Graphics. This article approaches discrete bundles from the viewpoint of Discrete Differential Geometry, including a complete classification of discrete vector bundles over finite simplicial complexes. In particular, we obtain a discrete analogue of a theorem of Andr\'e Weil on the classification of hermitian line bundles. Moreover, we associate to each discrete hermitian line bundle with curvature a unique piecewise-smooth hermitian line bundle of piecewise constant curvature. This is then used to define a discrete Dirichlet energy which generalizes the well-known cotangent Laplace operator to discrete hermitian line bundles over Euclidean simplicial manifolds of arbitrary dimension

Standards as Barriers Versus Standards as Catalysts: Assessing the Impact of HACCP Implementation on U.S. Seafood Imports

The United States mandated a Hazard Analysis Critical Control Points (HACCP) food safety standard for seafood in 1997. Panel model results for 1990 to 2004 suggest that HACCP introduction had a negative and significant impact on overall imports from the top thirty-three suppliers. While the effect for developed countries was positive, the negative effect for developing countries supports the view of “standards as barriers” versus “standards as catalysts.” A different perspective emerges from individual country-level analysis. Regardless of development status, leading seafood exporters generally experienced a positive HACCP effect, while most other smaller trading partners faced a negative effect

A Project Based Approach to Statistics and Data Science

In an increasingly data-driven world, facility with statistics is more important than ever for our students. At institutions without a statistician, it often falls to the mathematics faculty to teach statistics courses. This paper presents a model that a mathematician asked to teach statistics can follow. This model entails connecting with faculty from numerous departments on campus to develop a list of topics, building a repository of real-world datasets from these faculty, and creating projects where students interface with these datasets to write lab reports aimed at consumers of statistics in other disciplines. The end result is students who are well prepared for interdisciplinary research, who are accustomed to coping with the idiosyncrasies of real data, and who have sharpened their technical writing and speaking skills

Conceptualisation, development and validation of T-QoL© (Teenagers' Quality of Life): a patient-focused measure to assess quality of life of adolescents with skin diseases

Aim To develop and validate a dermatology-specific quality of life (QoL) instrument for adolescents with skin diseases. Methods Qualitative semi-structured interviews were conducted with adolescents with skin disease to gain in-depth understanding of how skin diseases affect their QoL. A prototype instrument based on the themes identified from content analysis of interviews was tested in several stages, using Classical Test Theory (CTT) and Item Response Theory (IRT) models to develop this new tool and conduct its psychometric evaluation. Results Thirty-three QoL issues were identified from semi-structured interviews with 50 adolescents. A questionnaire based on items derived from content analysis of interviews was subjected to Rasch analysis: factor analysis identified three domains, therefore not supporting the validity of T-QoL as a unidimensional measure. Psychometric evaluation of the final 18-item questionnaire was carried out in a cohort of 203 adolescents. Convergent validity was demonstrated by significant correlation with Skindex-Teen and CDLQI or DLQI. The T-QoL showed excellent internal consistency reliability: Cronbach's α=0.89 for total scale score and 0.85, 0.60, and 0.74 respectively for domains 1, 2 and 3. Test-retest reliability was high in stable subjects. T-QoL showed sensitivity to change in two sub-groups of patients who indicated change in their self-assessed disease severity. Conclusion Built on rich qualitative data from patients, the T-QoL is a simple and valid tool to quantify the impact of skin disease on adolescents’ QoL; it could be used as an outcome measure in both clinical practice and clinical research

Culturally safe speech-language supports for First Nations children: Achieving Sustainable Development Goals 3, 4, 8 and 10

Purpose: Self-determination is foundational to health and well-being for First Nations people. Colonisation has undermined self-determination and widespread effects are observed as disparities in health and well-being. Chronic middle ear disease is more highly prevalent in First Nations children, is associated with delays in speech and language and lower levels of educational readiness. However, there is a paucity of culturally and linguistically sensitive speech-language assessments and habilitation services globally. Focussing on high-income colonial-settler countries (including United States, Canada, Australia and New Zealand), where health disparities are significant, we aim to discuss the importance of and the challenges in providing culturally safe care to First Nations children with communication disabilities. Result: To be effective, both cultural and linguistic diversity and cultural safety must be considered in all aspects of assessment and intervention. Furthermore, speech-language pathologists must be equipped to work with First Nations children with communication disorders. Conclusion: To optimally support First Nations’ children with communication disabilities, services need to be culturally safe, family-centred and strengths-based. This commentary focuses on the United Nations Sustainable Development Goals (SDGs)3, 4, 8 and 10

EEG reinvestigations of visual statistical learning for faces, scenes, and objects

The objective of this ongoing, replication study is to understand temporal and spatial patterns in our environment by using the technique of electroencephalography (EEG). Visual statistical learning (VSL) helps us to understand conditional probabilities from our environments. This concept is why we know that chairs are located under tables, not above. The goal of this study is to understand whether participants can unconsciously associate pairs of items (faces, scenes, and objects) from their short-term memory. Strong pairs become more similar to each other, as compared to weak pairs, which become less similar. In the main task, participants saw items appear on the screen, on at a time, for 100ms each. Items directly followed each other without transitions. In the post-task, participants were asked to rate how familiar pairs of items were, using a sliding scale. There were three types of pairs presented: strong pairs where item B followed item A 100% of the time; weak pairs where item B followed item A 11% of the time; and foil pairs where item B followed item A 0% of the time. In conclusion, results are similar to the current study (n = 10) in that there are behavioral differences between strong vs. foil and strong vs. weak pairs

Heightened immune response to autocitrullinated porphyromonas gingivalis peptidylarginine deiminase: a potential mechanism for breaching immunologic tolerance in rheumatoid arthritis

Background: Rheumatoid arthritis (RA) is characterised by autoimmunity to citrullinated proteins, and there is increasing epidemiologic evidence linking Porphyromonas gingivalis to RA. P gingivalis is apparently unique among periodontal pathogens in possessing a citrullinating enzyme, peptidylarginine deiminase (PPAD) with the potential to generate antigens driving the autoimmune response. Objectives: To examine the immune response to PPAD in patients with RA, individuals with periodontitis (PD) and controls (without arthritis), confirm PPAD autocitrullination and identify the modified arginine residues. Methods: PPAD and an inactivated mutant (C351A) were cloned and expressed and autocitrullination of both examined by immunoblotting and mass spectrometry. ELISAs using PPAD, C351A and another P gingivalis protein arginine gingipain (RgpB) were developed and antibody reactivities examined in patients with RA (n=80), individuals with PD (n=44) and controls (n=82). Results: Recombinant PPAD was a potent citrullinating enzyme. Antibodies to PPAD, but not to Rgp, were elevated in the RA sera (median 122 U/ml) compared with controls (median 70 U/ml; p<0.05) and PD (median 60 U/ml; p<0.01). Specificity of the anti-peptidyl citrullinated PPAD response was confirmed by the reaction of RA sera with multiple epitopes tested with synthetic citrullinated peptides spanning the PPAD molecule. The elevated antibody response to PPAD was abolished in RA sera if the C351A mutant was used on ELISA. Conclusions: The peptidyl citrulline-specific immune response to PPAD supports the hypothesis that, as a bacterial protein, it might break tolerance in RA, and could be a target for therapy

Gender differentials in the payoff to schooling in rural China

This article examines the gender differential in the payoff to schooling in rural China. The analyses are based on a framework provided by the over education/required education/under education literature, and the decomposition developed by Chiswick and Miller (2008). It shows that the payoff to correctly matched education in rural China is much higher for females than for males. Associated with this, the wage penalty where workers are under qualified in their occupation is greater for females than for males. Over educated females, however, are advantaged compared with their male counterparts. These findings are interpreted using the explanations offered for the gender differential in the payoff to schooling in the growing literature on earnings determination in China