On elliptic curves with an isogeny of degree 7

We show that if $E$ is an elliptic curve over $\mathbf{Q}$ with a $\mathbf{Q}$-rational isogeny of degree 7, then the image of the 7-adic Galois representation attached to $E$ is as large as allowed by the isogeny, except for the curves with complex multiplication by $\mathbf{Q}(\sqrt{-7})$. The analogous result with 7 replaced by a prime $p > 7$ was proved by the first author in [7]. The present case $p = 7$ has additional interesting complications. We show that any exceptions correspond to the rational points on a certain curve of genus 12. We then use the method of Chabauty to show that the exceptions are exactly the curves with complex multiplication. As a by-product of one of the key steps in our proof, we determine exactly when there exist elliptic curves over an arbitrary field $k$ of characteristic not 7 with a $k$-rational isogeny of degree 7 and a specified Galois action on the kernel of the isogeny, and we give a parametric description of such curves.Comment: The revision gives a complete answer to the question considered in Version 1. Version 3 will appear in the American Journal of Mathematic

The First Brown Dwarf Discovered by the Backyard Worlds: Planet 9 Citizen Science Project

The Wide-field Infrared Survey Explorer (WISE) is a powerful tool for finding nearby brown dwarfs and searching for new planets in the outer solar system, especially with the incorporation of NEOWISE and NEOWISE-Reactivation data. So far, searches for brown dwarfs in WISE data have yet to take advantage of the full depth of the WISE images. To efficiently search this unexplored space via visual inspection, we have launched a new citizen science project, called "Backyard Worlds: Planet 9," which asks volunteers to examine short animations composed of difference images constructed from time-resolved WISE coadds. We report the discovery of the first new substellar object found by this project, WISEA J110125.95+540052.8, a T5.5 brown dwarf located approximately 34 pc from the Sun with a total proper motion of $\sim$0.7 as yr$^{-1}$. WISEA J110125.95+540052.8 has a WISE $W2$ magnitude of $W2=15.37 \pm 0.09$, this discovery demonstrates the ability of citizen scientists to identify moving objects via visual inspection that are 0.9 magnitudes fainter than the $W2$ single-exposure sensitivity, a threshold that has limited prior motion-based brown dwarf searches with WISE.Comment: 9 pages, 4 figures, 1 table. Accepted for publication in the Astrophysical Journal Letter

Comparison of the COBE FIRAS and DIRBE Calibrations

We compare the independent FIRAS and DIRBE observations from the COBE in the wavelength range 100-300 microns. This cross calibration provides checks of both data sets. The results show that the data sets are consistent within the estimated gain and offset uncertainties of the two instruments. They show the possibility of improving the gain and offset determination of DIRBE at 140 and 240 microns.Comment: Accepted for publication in the Astrophysical Journal 11 pages, plus 3 figures in separate postscript files. Figure 3 has three part

New CMB Power Spectrum Constraints from MSAMI

We present new cosmic microwave background (CMB) anisotropy results from the combined analysis of the three flights of the first Medium Scale Anisotropy Measurement (MSAM1). This balloon-borne bolometric instrument measured about 10 square degrees of sky at half-degree resolution in 4 frequency bands from 5.2 icm to 20 icm with a high signal-to-noise ratio. Here we present an overview of our analysis methods, compare the results from the three flights, derive new constraints on the CMB power spectrum from the combined data and reduce the data to total-power Wiener-filtered maps of the CMB. A key feature of this new analysis is a determination of the amplitude of CMB fluctuations at $\ell \sim 400$. The analysis technique is described in a companion paper by Knox.Comment: 9 pages, 6 included figure

275 Effects of ruxolitinib cream on sleep and quality of life over 52 weeks in black patients with atopic dermatitis

Atopic dermatitis (AD) is an inflammatory skin disease with phenotypic differences across race and can affect sleep and quality of life (QoL). In 2 phase 3 studies of identical design (TRuE-AD1/TRuE-AD2), patients (pts; ≥12 y with AD for ≥2 y; Investigator’s Global Assessment score 2/3; 3%–20% affected body surface area) were randomized (2:2:1) to twice-daily 0.75% or 1.5% ruxolitinib (RUX; Janus kinase [JAK]1/JAK2 inhibitor) cream or vehicle for 8 wk (continuous treatment), followed by a long-term safety period (LTS; as-needed treatment) up to Wk 52. Pts randomized to RUX cream remained on their regimen during the LTS; pts on vehicle were rerandomized to either RUX cream strength. For Black pts who were initially randomized to the 0.75% RUX cream/1.5% RUX cream/vehicle to 0.75% RUX cream/vehicle to 1.5% RUX cream groups and continued in the LTS (n=91/97/25/22), sleep-related impairment and sleep disturbance scores per Patient-Reported Outcomes Measurement Information System at baseline (BL) were 16.3/16.4/15.0/17.5 and 18.9/19.7/17.9/19.8, respectively. Scores had decreased (less impairment) at LTS start in the RUX cream groups (Wk 8; 14.2/14.7/16.1/15.5 and 16.7/17.5/19.0/19.4) and were below BL at Wk 52 in all groups (14.3/14.8/13.9/14.4 and 18.0/18.0/17.4/16.3). Dermatology Life Quality Index (DLQI) scores were decreased at Wk 8 (mean change from BL, −7.4/−6.6/−3.8/−4.8); decreased scores were maintained to Wk 52 (−7.1/−6.5/−5.6/−8.8). Results were similar for children’s DLQI (Wk 8, −4.0/−6.9/−4.0/−3.0 [n=12/9/1/3]; Wk 52, −5.6/−11.6/−12.0/−7.3 [n=9/7/1/4]). In summary, sleep and QoL improved with RUX cream; improvements were maintained for 44 wk with as-needed use in Black pts

A characteristic lengthscale causes anomalous size effects and boundary programmability in mechanical metamaterials

The architecture of mechanical metamaterialsis designed to harness geometry, non-linearity and topology to obtain advanced functionalities such as shape morphing, programmability and one-way propagation. While a purely geometric framework successfully captures the physics of small systems under idealized conditions, large systems or heterogeneous driving conditions remain essentially unexplored. Here we uncover strong anomalies in the mechanics of a broad class of metamaterials, such as auxetics, shape-changers or topological insulators: a non-monotonic variation of their stiffness with system size, and the ability of textured boundaries to completely alter their properties. These striking features stem from the competition between rotation-based deformations---relevant for small systems---and ordinary elasticity, and are controlled by a characteristic length scale which is entirely tunable by the architectural details. Our study provides new vistas for designing, controlling and programming the mechanics of metamaterials in the thermodynamic limit.Comment: Main text has 4 pages, 4 figures + Methods and Supplementary Informatio

287 Effects of ruxolitinib cream on pruritus in black patients with atopic dermatitis

Atopic dermatitis (AD) is an inflammatory skin disease that has phenotypic differences across race and can be more severe in Black patients. In two phase 3 identical design studies (TRuE-AD1/TRuE-AD2), patients (≥12 years old with AD for ≥2 years, Investigator’s Global Assessment [IGA] score 2/3, 3%–20% affected body surface area) were randomized (2:2:1) to twice-daily 0.75% or 1.5% ruxolitinib (Janus kinase [JAK]1/JAK 2 inhibitor) cream or vehicle for 8 weeks. Here we describe the effect of ruxolitinib cream on itch in Black patients using pooled data from the 2 studies (n=292). Mean itch numerical rating scale (NRS) score at baseline was 5.3/5.4 for ruxolitinib cream (0.75%/1.5%) and 5.7 for vehicle. Reductions in mean itch NRS score with ruxolitinib cream (0.75%/1.5%) were evident within approximately 12 hours of first application (–0.6/–0.7 vs −0.2 for vehicle), with statistically significant reductions by Day 4 vs vehicle (–1.4/–1.6 vs –0.6; both P\u3c0.05). For those with baseline itch NRS ≥4 (n=187; 64.0%), more patients achieved ≥4-point itch NRS improvement vs vehicle by Day 2 (6.1%/16.4% vs 0%); this increased to 15.9%/26.6% vs 3.0% on Day 7 and 30.1%/43.2% vs 17.5% at Week 8 (P=0.212/P=0.009). More patients applying 0.75%/1.5% ruxolitinib cream vs vehicle reported no days of itch per question 1 of the Patient-Oriented Eczema Measure (POEM) at Week 2 (19.0%/19.4% vs 5.3%); this increased at Week 8 (34.0%/30.8% vs 12.2%). In summary, ruxolitinib cream monotherapy over 8 weeks was associated with rapid and considerable itch relief in Black patients with AD

Random Walks on a Fluctuating Lattice: A Renormalization Group Approach Applied in One Dimension

We study the problem of a random walk on a lattice in which bonds connecting nearest neighbor sites open and close randomly in time, a situation often encountered in fluctuating media. We present a simple renormalization group technique to solve for the effective diffusive behavior at long times. For one-dimensional lattices we obtain better quantitative agreement with simulation data than earlier effective medium results. Our technique works in principle in any dimension, although the amount of computation required rises with dimensionality of the lattice.Comment: PostScript file including 2 figures, total 15 pages, 8 other figures obtainable by mail from D.L. Stei

Mapping Meisner – how Stanislavski’s system influenced Meisner’s process and why it matters to British Drama School training today

As the Meisner technique has increased in popularity in UK Drama schools over the last decade, it is important to understand its origin and where Meisner drew his own inspiration from during the development of his technique, especially when questioning its place within British conservatoire training. This article will give a brief outline of Meisner’s foundational training, such as the Repetition and Activity exercises, however the main purpose is to highlight the ideas behind the technique. This will include the training Meisner received within the Group Theatre, the inspiration he took from the Russian scholars and the areas of Stanislavsky’s system that were utilised as he developed his technique. The article also acknowledges the argument that the Meisner technique’s introduction outside the US has been subject to aform of misrepresentation as large parts of Meisner’s more analytical training have often not been adequately represented, and in some cases ignored entirely