Black hole state counting in Loop Quantum Gravity: A number theoretical approach

We give a practical method to exactly compute black hole entropy in the framework of Loop Quantum Gravity. Along the way we provide a complete characterization of the relevant sector of the spectrum of the area operator, including degeneracies, and determine the number of solutions to the projection constraint analytically. We use a computer implementation of the proposed algorithm to confirm and extend previous results on the detailed structure of the black hole degeneracy spectrum.Comment: Accepted for publication in Physical Review Letter

A survey of anatomical items relevant to the practice of rheumatology: upper extremity, head, neck, spine, and general concepts

[Abstract] This study aimed to identify the anatomical items of the upper extremity and spine that are potentially relevant to the practice of rheumatology. Ten rheumatologists interested in clinical anatomy who published, taught, and/or participated as active members of Clinical Anatomy Interest groups (six seniors, four juniors), participated in a one-round relevance Delphi exercise. An initial, 560-item list that included 45 (8.0 %) general concepts items; 138 (24.8 %) hand items; 100 (17.8 %) forearm and elbow items; 147 (26.2 %) shoulder items; and 130 (23.2 %) head, neck, and spine items was compiled by 5 of the participants. Each item was graded for importance with a Likert scale from 1 (not important) to 5 (very important). Thus, scores could range from 10 (1 × 10) to 50 (5 × 10). An item score of ≥40 was considered most relevant to competent practice as a rheumatologist. Mean item Likert scores ranged from 2.2 ± 0.5 to 4.6 ± 0.7. A total of 115 (20.5 %) of the 560 initial items reached relevance. Broken down by categories, this final relevant item list was composed by 7 (6.1 %) general concepts items; 32 (27.8 %) hand items; 20 (17.4 %) forearm and elbow items; 33 (28.7 %) shoulder items; and 23 (17.6 %) head, neck, and spine items. In this Delphi exercise, a group of practicing academic rheumatologists with an interest in clinical anatomy compiled a list of anatomical items that were deemed important to the practice of rheumatology. We suggest these items be considered curricular priorities when training rheumatology fellows in clinical anatomy skills and in programs of continuing rheumatology education

Effect of Organic Nutrition in the Nursery Growth and Nutrimental Content of Native Avocados of Ometepec, Guerrero, Mexico

In Mexico, there are several types of wild and criollo avocados that constitute a genetic heritage of this species; these avocados currently grow in an unordered manner on farmer's lands and in backyards, and they need to be studied as they are being lost because of agricultural activities and edaphoclimatic and phytosanitary factors. On the other hand, in orchards and avocado nurseries, high amounts of chemical fertilizers and pesticides are used affecting the physicochemical and microbiological properties of the soil, modifying the flora and fauna and polluting aquifers and springs that cause health problems among consumers. Therefore, it is very important to have a more friendly agriculture with the nature. The aim of this work was to evaluate under nursery conditions, the effect of organic fertilizers on 12 genotypes (rootstocks) of native avocados of Ometepec, Guerrero, Mexico, under an experimental design of random blocks, with four treatments: T1: sheep manure,T2: Bovine manure, T3: mycorrhizae and T4 (control: water) in four replicates. The variables were: plant height (PH), stem diameter (SD), number of leaves: young (NYL) and mature (NML) per plant; and the content of NO3-, K+, Ca2+ and Na+ ions obtained by petiole extraction, and the chlorophyll content measured with SPAD, in young (CYL) and mature (CML) leaves. Additionally, an analysis of variance and Tukey mean tests (P ≤ 0.01 and 0.05) and LSD (P ≤ 0.05) were done. It was found that sheep manure was superior to other treatments in PH (76.7 cm), SD (7.2 mm), NYL (6.5 leaves/plant), NML (18.4 leaves/plant), CML (40.2 SPAD) and Ca2+(1495ppm). In conclusion, the sheep manure was better than the bovine, mycorrhiza and control (water) as it affected positively the behavior of rootstocks in plant height, stem diameter and number of young and mature leaves. In addition, organic nutrition showed no significant response in the chlorophyll content of young and mature leaves. Young leaves only reached 50% of the chlorophyll content compared to mature leaves

A survey of anatomical items relevant to the practice of rheumatology: pelvis, lower extremity, and gait

[Abstract] This study aimed to generate a minimum list of structural and functional anatomical items about the pelvis/hip, knee, ankle/foot, gait, and lower limb innervation, which are most relevant to the practice of rheumatology. To determine their perceived relevance to clinical practice, seven members of the Mexican Clinical Anatomy Task Force compiled an initial list of 470 anatomical items. Ten local and international experts according to a 0-10 Likert scale ranked these items. Of the original list, 101 (21.48%) items were considered relevant (global rate >40). These included 36/137 (26.27%) pelvis and hip items, 25/82 (30.48%) knee items, 22/168 (13.98%) ankle/foot items, 11/68 (16.17%) neurologic items, and 7/15 (46.66%) gait-related items. We propose that these 101 anatomical items of the lower extremity, when added to the 115 anatomic items of the upper extremity and spine we previously reported, may represent an approximation to the minimal anatomical knowledge central to the competent practice of rheumatology. The meager representation of ankle and foot items may reflect a lesser emphasis in these anatomical regions during rheumatologic training. Attention to these and related items during rheumatologic training and beyond may sharpen the rheumatologist's ability in the differential diagnosis of regional pain syndromes as well as strengthen an endangered art: the rheumatologic physical examination

Subduction and volcanism in the Iberia-North Africa collision zone from tomographic images of the upper mantle

New tomographic images of the upper mantle beneath the westernmost Mediterranean suggest that the evolution of the region experienced two subduction-related episodes. First subduction of oceanic and/or extended continental lithosphere, now located mainly beneath the Betics at depths greater than 400 km, took place on a NW-SE oriented subduction zone. This was followed by a slab-tear process that initiated in the east and propagated to the west, leading to westward slab rollback and possibly lower crustal delamination. The current position of the slab tear is located approximately at 4°W, and to the west of this location the subducted lithosphere is still attached to the surface along the Gibraltar Arc. Our new P-wave velocity model is able to image the attached subducted lithosphere as a narrow high-velocity body extending to shallow depths, coinciding with the region of maximum curvature of the Gibraltar Arc, the occurrence of intermediate-depth earthquakes, and anomalously thick crust. This thick crust has a large influence in the measured teleseismic travel time residuals and therefore in the obtained P-wave tomographic model. We show that removing the effects of the thick crust significantly improves the shallow images of the slab and therefore the interpretations based on the seismic structureThis is a contribution of the Team Consolider-Ingenio 2010 TOPO-IBERIA (CSD2006-00041). Additional fundingwas provided by the SIBERIA (CGL2006-01171), RIFSIS (CGL2009-09727) and ALERTES-RIM (CGL2013-45724-C3-3-R) projects.Peer reviewe

Reflexiones universitarias. San Pedro Valencia: renovación urbana, saneamiento ambiental y emprendimientos turísticos. Otoño 2015

Los trabajos que aquí se presentan se elaboraron por las y los estudiantes como parte de las actividades del Proyecto de Aplicación Profesional (PAP) “San Pedro Valencia: renovación urbana, saneamiento ambiental y emprendimientos turísticos”, durante el periodo de Otoño de 2015. A lo largo del periodo los autores compartieron sus reflexiones en torno a su percepción sobre el contexto en el que actúa el PAP; sobre las alternativas posibles a la problemática detectada y lo que significa pensar una alternativa; sobre los sujetos con los que se ha interactuado a lo largo de la experiencia de trabajo y sobre el papel del profesionista y del ciudadano en un mundo como el que nos tocó vivir. La obra está compuesta por reflexiones personales de las y los estudiantes que, explorando estas temáticas, comparten sus aprendizajes y observaciones de forma vívida.ITESO, A.C

Observation of the Crab Nebula with the HAWC Gamma-Ray Observatory

The Crab Nebula is the brightest TeV gamma-ray source in the sky and has been used for the past 25 years as a reference source in TeV astronomy, for calibration and verification of new TeV instruments. The High Altitude Water Cherenkov Observatory (HAWC), completed in early 2015, has been used to observe the Crab Nebula at high significance across nearly the full spectrum of energies to which HAWC is sensitive. HAWC is unique for its wide field-of-view, nearly 2 sr at any instant, and its high-energy reach, up to 100 TeV. HAWC's sensitivity improves with the gamma-ray energy. Above $\sim$1 TeV the sensitivity is driven by the best background rejection and angular resolution ever achieved for a wide-field ground array. We present a time-integrated analysis of the Crab using 507 live days of HAWC data from 2014 November to 2016 June. The spectrum of the Crab is fit to a function of the form $\phi(E) = \phi_0 (E/E_{0})^{-\alpha -\beta\cdot{\rm{ln}}(E/E_{0})}$. The data is well-fit with values of $\alpha=2.63\pm0.03$, $\beta=0.15\pm0.03$, and log$_{10}(\phi_0~{\rm{cm}^2}~{\rm{s}}~{\rm{TeV}})=-12.60\pm0.02$ when $E_{0}$ is fixed at 7 TeV and the fit applies between 1 and 37 TeV. Study of the systematic errors in this HAWC measurement is discussed and estimated to be $\pm$50\% in the photon flux between 1 and 37 TeV. Confirmation of the Crab flux serves to establish the HAWC instrument's sensitivity for surveys of the sky. The HAWC survey will exceed sensitivity of current-generation observatories and open a new view of 2/3 of the sky above 10 TeV.Comment: Submitted 2017/01/06 to the Astrophysical Journa