The Hopf algebra of diagonal rectangulations

We define and study a combinatorial Hopf algebra dRec with basis elements indexed by diagonal rectangulations of a square. This Hopf algebra provides an intrinsic combinatorial realization of the Hopf algebra tBax of twisted Baxter permutations, which previously had only been described extrinsically as a sub Hopf algebra of the Malvenuto-Reutenauer Hopf algebra of permutations. We describe the natural lattice structure on diagonal rectangulations, analogous to the Tamari lattice on triangulations, and observe that diagonal rectangulations index the vertices of a polytope analogous to the associahedron. We give an explicit bijection between twisted Baxter permutations and the better-known Baxter permutations, and describe the resulting Hopf algebra structure on Baxter permutations.Comment: Very minor changes from version 1, in response to comments by referees. This is the final version, to appear in JCTA. 43 pages, 17 figure

Family Law: The Aftermath of \u3cem\u3eCanakaris\u3c/em\u3e

Cases decided by the district courts of appeal after the supreme court\u27s landmark decision in Canakaris V Canakaris reflect its impact on marriage dissolution law in Florida. The author surveys and critically examines those subsequent cases and concludes that legislation is necessary to establish Florida as a true equitable distribution state and to lend consistency to the division of property by the courts upon dissolution of marriage

Évaluation de l’efficacité du programme Global Medical Student Partnership dans les études de médecine de premier cycle

Background: The Global Medical Student Partnership (GMSP) is, a medical student-led international initiative to promote accessible Global Health learning. This study aims to evaluate the effectiveness of the GMSP program in meeting its learning objectives. Methods: Canadian and international medical student pairs met online monthly (January-May 2018) to discuss global health-related medical cases. Students then reviewed cases with local GMSP peers and faculty experts. A mixed-methods study was performed to evaluate whether the objectives of the program had been achieved. 26 of 32 (81.3%) students completed a questionnaire, and 13 (40.6%) also participated in one-on-one semi-structured interviews. Descriptive statistics and thematic analysis were used to analyze students’ perspectives on skill development through GMSP. Results: GMSP students agreed or strongly agreed that international collaboration and communication skills were more important to them following program participation (92.3%, 92.3% respectively). Many expressed that after GMSP, they knew more about their healthcare system, practices abroad and how to solve complex health issues (92.3%, 84.6%, 61.5% respectively). Qualitative data showed GMSP improved students’ communication and presentation skills, provided a foundation for international relationships, fostered appraisal of diverse health systems, and furthered students’ understanding of health advocacy. Conclusions: Our findings demonstrate that GMSP met its original objectives by providing students with opportunities to engage in international collaborations and to further develop their skills in advocacy, communication, and health-systems research. This program may be an important addition to medical education as it makes use of technology and peer-to-peer exchange to enable global health learning.Contexte : Le Global Medical Student Partnership (GMSP) est une initiative d’envergure internationale menée par des étudiants en médecine qui vise à favoriser la formation en santé mondiale.  La présente étude consiste à évaluer l’efficacité du programme GMSP pour atteindre ses objectifs d’apprentissage. Méthodologie : Des paires d’étudiants en médecine canadiens et étrangers se sont rencontrés en ligne tous les mois, entre janvier et mai 2018, pour discuter de situations cliniques en santé mondiale.  Après la rencontre, ces situations cliniques ont été revues par des pairs locaux du programme GMSP et des experts du corps professoral. On a effectué une étude à devis mixte pour déterminer si les objectifs du programme avaient été atteints. 26 des 32 (81,3 %) étudiants ont répondu à un questionnaire et 13 (40,6 %) ont aussi pris part à des entrevues individuelles semi-dirigées. Des statistiques descriptives et une analyse thématique ont été utilisées analyser les perceptions des étudiants sur le développement d’habiletés par le programme GMSP. Résultats : Les étudiants participant au programme GMSP étaient d’accord ou très en accord pour dire que les habiletés à la collaboration internationale et à la communication étaient plus importantes à leurs yeux après la participation au programme (92.3%, 92,3%, respectivement). Bon nombre ont affirmé qu’après le programme GMSP, ils en connaissaient plus sur leur système de soins de santé, les pratiques à l’étranger et les façons de résoudre des problèmes de santé complexes (92,3 %, 84,6 %, 61,5 % respectivement). Des données qualitatives ont montré que le programme GMSP a amélioré les aptitudes à la communication et des techniques de présentation.  Elles ont servi à établir des relations à l’international, à évaluer divers systèmes de soins de santé et à mieux comprendre la promotion de la santé et à militer en faveur de celle-ci. Conclusions : Nos résultats montrent que le programme GMSP a atteint ses objectifs de départ puisqu’il a donné aux étudiants des occasions de collaboration internationale et leur a permis de développer davantage leurs habiletés en matière de défense des droits, de communication, et de recherche sur les systèmes de soins de santé. Ce programme pourrait s’avérer un important complément à la formation médicale parce qu’il utilise la technologie et des échanges pairs-pairs pour l’apprentissage des enjeux de santé mondiaux

Low energy excitations in graphite: The role of dimensionality and lattice defects

In this paper, we present a high resolution angle resolved photoemission spectroscopy (ARPES) study of the electronic properties of graphite. We found that the nature of the low energy excitations in graphite is particularly sensitive to interlayer coupling as well as lattice disorder. As a consequence of the interlayer coupling, we observed for the first time the splitting of the $\pi$ bands by $\approx$ 0.7 eV near the Brillouin zone corner K. At low binding energy, we observed signatures of massless Dirac fermions with linear dispersion (as in the case of graphene), coexisting with quasiparticles characterized by parabolic dispersion and finite effective mass. We also report the first ARPES signatures of electron-phonon interaction in graphite: a kink in the dispersion and a sudden increase in the scattering rate. Moreover, the lattice disorder strongly affects the low energy excitations, giving rise to new localized states near the Fermi level. These results provide new insights on the unusual nature of the electronic and transport properties of graphite.Comment: 10 pages, 15 figure

First direct observation of Dirac fermions in graphite

Originating from relativistic quantum field theory, Dirac fermions have been recently applied to study various peculiar phenomena in condensed matter physics, including the novel quantum Hall effect in graphene, magnetic field driven metal-insulator-like transition in graphite, superfluid in 3He, and the exotic pseudogap phase of high temperature superconductors. Although Dirac fermions are proposed to play a key role in these systems, so far direct experimental evidence of Dirac fermions has been limited. Here we report the first direct observation of massless Dirac fermions with linear dispersion near the Brillouin zone (BZ) corner H in graphite, coexisting with quasiparticles with parabolic dispersion near another BZ corner K. In addition, we report a large electron pocket which we attribute to defect-induced localized states. Thus, graphite presents a novel system where massless Dirac fermions, quasiparticles with finite effective mass, and defect states all contribute to the low energy electronic dynamics.Comment: Nature Physics, in pres

Making Connections: A Handbook for Effective Formal Mentoring Programs in Academia

This book, Making Connections: A Handbook for Effective Formal Mentoring Programs in Academia, makes a unique and needed contribution to the mentoring field as it focuses solely on mentoring in academia. This handbook is a collaborative institutional effort between Utah State University’s (USU) Empowering Teaching Open Access Book Series and the Mentoring Institute at the University of New Mexico (UNM). This book is available through (a) an e-book through Pressbooks, (b) a downloadable PDF version on USU’s Open Access Book Series website), and (c) a print version available for purchase on the USU Empower Teaching Open Access page, and on Amazon

Exploring the development of a cultural care framework for European caring science

The aim of this paper is to discuss the development of a cultural care framework that seeks to inform and embrace the philosophical ideals of caring science. Following a review of the literature that identified a lack of evidence of an explicit relationship between caring science and cultural care, a number of well-established transcultural care frameworks were reviewed. Our purpose was to select one that would resonate with underpinning philosophical values of caring science and that drew on criteria generated by the European Academy of Caring Science members. A modified framework based on the work of Giger and Davidhizar was developed as it embraced many of the values such as humanism that are core to caring science practice. The proposed caring science framework integrates determinants of cultural lifeworld-led care and seeks to provide clear directions for humanizing the care of individuals. The framework is offered to open up debate and act as a platform for further academic enquiry

Sloan Digital Sky Survey IV: Mapping the Milky Way, Nearby Galaxies, and the Distant Universe

We describe the Sloan Digital Sky Survey IV (SDSS-IV), a project encompassing three major spectroscopic programs. The Apache Point Observatory Galactic Evolution Experiment 2 (APOGEE-2) is observing hundreds of thousands of Milky Way stars at high resolution and high signal-to-noise ratios in the near-infrared. The Mapping Nearby Galaxies at Apache Point Observatory (MaNGA) survey is obtaining spatially resolved spectroscopy for thousands of nearby galaxies (median $z\sim 0.03$). The extended Baryon Oscillation Spectroscopic Survey (eBOSS) is mapping the galaxy, quasar, and neutral gas distributions between $z\sim 0.6$ and 3.5 to constrain cosmology using baryon acoustic oscillations, redshift space distortions, and the shape of the power spectrum. Within eBOSS, we are conducting two major subprograms: the SPectroscopic IDentification of eROSITA Sources (SPIDERS), investigating X-ray AGNs and galaxies in X-ray clusters, and the Time Domain Spectroscopic Survey (TDSS), obtaining spectra of variable sources. All programs use the 2.5 m Sloan Foundation Telescope at the Apache Point Observatory; observations there began in Summer 2014. APOGEE-2 also operates a second near-infrared spectrograph at the 2.5 m du Pont Telescope at Las Campanas Observatory, with observations beginning in early 2017. Observations at both facilities are scheduled to continue through 2020. In keeping with previous SDSS policy, SDSS-IV provides regularly scheduled public data releases; the first one, Data Release 13, was made available in 2016 July