A heuristic for boundedness of ranks of elliptic curves

We present a heuristic that suggests that ranks of elliptic curves over the rationals are bounded. In fact, it suggests that there are only finitely many elliptic curves of rank greater than 21. Our heuristic is based on modeling the ranks and Shafarevich-Tate groups of elliptic curves simultaneously, and relies on a theorem counting alternating integer matrices of specified rank. We also discuss analogues for elliptic curves over other global fields.Comment: 41 pages, typos fixed in torsion table in section

Recording Victim Video Statements as Evidence to Advance Legal Outcomes in Family Violence Cases (ReVEAL)

This Implementation Guide provides an overview of the video-recording practices currently in place across several Texas jurisdictions. It provides guidance and considerations for jurisdictions in the collection and use of video evidence in family violence cases. This guide is divided into seven sections, including this Background and Overview. The second section includes information for law enforcement on the purpose of video statements, how to develop and implement a video program, and considerations for sustaining a program. The third section focuses on prosecutorial practices for the use of video statements including legal considerations, coordination with partners, and victim engagement around the video statement. The fourth section provides specific information for victim advocates and includes considerations for victim privacy and confidentiality. The fifth section focuses on technology and equipment, with information on type of equipment, technology infrastructure, and efficient transfer of evidence between agencies. The sixth section is the Summary Report of the ReVEAL project. The Summary Report is a technical overview of the evaluation that includes major findings and links to the ReVEAL reports that were previously released. The seventh and final section is comprised of the appendices and provides sample protocols, site overviews, equipment charts, and additional resources that may be helpful to users of this guide. Throughout this guide, there are several examples of cases and practices that illustrate the specific issues that may present themselves when launching a video-recording program. These examples highlight the complexities of the practice while using real world examples of how video impacts family violence cases, victim safety, and privacy.IC2 Institut

Similar Progression of Morphological and Metabolic Phenotype in R6/2 Mice with Different CAG Repeats Revealed by In Vivo Magnetic Resonance Imaging and Spectroscopy.

BACKGROUND: Huntington's disease (HD) is caused by an unstable polyglutamine (CAG) repeat in the HD gene, whereby a CAG repeat length greater than ∼36 leads to the disease. In HD patients, longer repeats correlate with more severe disease and earlier death. This is also seen in R6/2 mice carrying repeat lengths up to ∼200. Paradoxically, R6/2 mice with repeat lengths >300 have a less aggressive phenotype and longer lifespan than those with shorter repeats. The mechanism underlying this phenomenon is unknown. OBJECTIVE: To investigate the consequences of longer repeat lengths on structural changes in the brains of R6/2 mice, especially with regard to progressive atrophy. METHODS: We used longitudinal in vivo magnetic resonance imaging (MRI) and spectroscopy (MRS) to compare pathological changes in two strains of R6/2 mice, one with a rapidly progressing disease (250 CAG repeats), and the other with a less aggressive phenotype (350 CAG repeats). RESULTS: We found significant progressive brain atrophy in both 250 and 350 CAG repeat mice, as well as changes in metabolites (glutamine/glutamate, choline and aspartate). Although similar in magnitude, atrophy in the brains of 350 CAG R6/2 mice progressed more slowly than that seen in 250 CAG mice, in line with the milder phenotype and longer lifespan. Interestingly, significant atrophy was detectable in 350 CAG mice as early as 8-12 weeks of age, although behavioural abnormalities in these mice are not apparent before 25-30 weeks. This finding fits well with human data from the PREDICT-HD and TRACK-HD project, where reductions in brain volume were found 10 years in advance of the onset of symptoms. CONCLUSIONS: The similar brain atrophy with a mismatch between onset of brain atrophy and behavioural phenotype in HD mice with 350 repeats will make this mouse particularly useful for modelling early stages of HD pathology.This project was funded by a grant from CHDI Inc.This is the author accepted manuscript. The final version is available from IOS Press at https://doi.org/10.3233/JHD-160208

Socrative in the language classroom:Tackling classroom anxiety and encouraging participation

[EN] In second language teaching and learning the building of trust relationships and the creation of a mutually supportive atmosphere can be fundamental: It is well recognized that affective concerns, such as anxiety and communication apprehension, are more salient in the language classroom (Hernández & Rankin, 2015). Practitioners have long been aware of the importance of reducing learner anxiety and one way that has been shown to be effective is motivation (Gardner, 1985). This paper will consider how the use of the smart personal response system Socrative can help address learner anxiety, foster motivation and encourage participation. It will examine theoretical approaches to foreign language anxiety, as well as reviewing motivational factors in language learning. It will also present qualitative evaluations of using Socrative in the third-level language classroom in both small and larger group settings. The introduction of Socrative has thus far yielded encouraging results, increasing student engagement, promoting interaction, L2 production and more effective learning, alongside a more comprehensive evaluation of student understanding and knowledge retention. As regards its effectiveness in addressing FLA, initial qualitative results suggest that it can be an effective tool in helping to foster a mutually supportive identity and a low-anxiety atmosphere in the classroom.Wood, J. (2020). Socrative in the Language Classroom: Tackling Classroom Anxiety and Encouraging Participation. En 6th International Conference on Higher Education Advances (HEAd'20). Editorial Universitat Politècnica de València. (30-05-2020):1181-1189. https://doi.org/10.4995/HEAd20.2020.112311181118930-05-202

Should Class Participation Be Required in the Basic Communication Course?

This article explores the purpose of the class participation requirement in the basic communication course. In it the following arguments are developed: 1) Class participation is not an effective measure of students\u27 abilities nor does the requirement encourage students to participate in class. 2) Class participation is better conceptualized as a skill which can be taught to students. If instructors require students to participate in their classes, instructors are obligated to teach students how to participate. 3) The basic communication course offers an excellent framework for teaching students the class participation skills

The Influence of Hope on the Relationship Between Racial Discrimination and Depressive Symptoms

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/89521/1/j.2161-1912.2008.tb00085.x.pd

Improving geological and process model integration through TIN to 3D grid conversion

The ability to extract properties from 3D geological framework models for use in the construction of conceptual and mathematical models is seen as increasingly important, however, tools and techniques are needed to support such information flows. Developing such methodologies will maximize the opportunity for information use and re-use, this is particularly important as the true value of such assets is not always known when they are first acquired. This paper briefly describes the cultural and technical challenges associated with the application of information derived from 3D geological framework models by hydrogeological process models. We examine how these issues are being addressed and present a tool, SurfGrid, which allows a user to generate 3D grids (voxels) of parameterized data from a series of geological surfaces. The procedures and tools described offer the ability to re-use expensively created assets by providing user friendly techniques that enable multidisciplinary scientists to extrapolate property distributions from geological models

Draft Genome Sequence of Rhodococcus erythropolis NSX2, an Actinobacterium Isolated from a Cadmium-Contaminated Environment

Rhodococcus erythropolis NSX2 is a rhizobacterium isolated from a heavy metal–contaminated environment. The 6.2-Mb annotated genome sequence shows that this strain harbors genes associated with heavy-metal resistance and xenobiotics degradation