Social Identity and the Mexican Community

The election of President Trump can be shown to negatively impact the Mexican community through social identity theory. Since his election, President Trump has passed policies controlling immigration and uses harmful language to describe Mexicans, such as rapists and criminals. To investigate the impact that the presidency has had on the Mexican Community the author choose to analyze this influence with social identity theory. Social identity theory proposes that individuals’ self-concept is based on their identification to their ingroup, and when this ingroup (Mexican) is viewed unfavorably by the outgroup (Anglo-American), negative social identity occurs. The author interviewed 16 participants that work and are students in a university and identify as Mexican or Mexican American. Findings support that there was a difference in the participants who experienced negative social identity. Those participants with American citizenship indicated to have negative social identity when they spoke about Trump’s Presidency and policies, however, those participants without American citizenship such as DACA recipients showed to be discouraged more so because of the uncertainty of their future with immigration policies, and not negative social identity. My hypothesis that negative social identity will influence motivation in lifestyle was not supported

Finite element differential forms on curvilinear cubic meshes and their approximation properties

We study the approximation properties of a wide class of finite element differential forms on curvilinear cubic meshes in n dimensions. Specifically, we consider meshes in which each element is the image of a cubical reference element under a diffeomorphism, and finite element spaces in which the shape functions and degrees of freedom are obtained from the reference element by pullback of differential forms. In the case where the diffeomorphisms from the reference element are all affine, i.e., mesh consists of parallelotopes, it is standard that the rate of convergence in L2 exceeds by one the degree of the largest full polynomial space contained in the reference space of shape functions. When the diffeomorphism is multilinear, the rate of convergence for the same space of reference shape function may degrade severely, the more so when the form degree is larger. The main result of the paper gives a sufficient condition on the reference shape functions to obtain a given rate of convergence.Comment: 17 pages, 1 figure; v2: changes in response to referee reports; v3: minor additional changes, this version accepted for Numerische Mathematik; v3: very minor updates, this version corresponds to the final published versio

Competitive nucleation in metastable systems

Metastability is observed when a physical system is close to a first order phase transition. In this paper the metastable behavior of a two state reversible probabilistic cellular automaton with self-interaction is discussed. Depending on the self-interaction, competing metastable states arise and a behavior very similar to that of the three state Blume-Capel spin model is found

Basic Ideas to Approach Metastability in Probabilistic Cellular Automata

Cellular Automata are discrete--time dynamical systems on a spatially extended discrete space which provide paradigmatic examples of nonlinear phenomena. Their stochastic generalizations, i.e., Probabilistic Cellular Automata, are discrete time Markov chains on lattice with finite single--cell states whose distinguishing feature is the \textit{parallel} character of the updating rule. We review some of the results obtained about the metastable behavior of Probabilistic Cellular Automata and we try to point out difficulties and peculiarities with respect to standard Statistical Mechanics Lattice models.Comment: arXiv admin note: text overlap with arXiv:1307.823

A comparison between different cycle decompositions for Metropolis dynamics

In the last decades the problem of metastability has been attacked on rigorous grounds via many different approaches and techniques which are briefly reviewed in this paper. It is then useful to understand connections between different point of views. In view of this we consider irreducible, aperiodic and reversible Markov chains with exponentially small transition probabilities in the framework of Metropolis dynamics. We compare two different cycle decompositions and prove their equivalence

Automated and Interpretable Patient ECG Profiles for Disease Detection, Tracking, and Discovery

The electrocardiogram or ECG has been in use for over 100 years and remains the most widely performed diagnostic test to characterize cardiac structure and electrical activity. We hypothesized that parallel advances in computing power, innovations in machine learning algorithms, and availability of large-scale digitized ECG data would enable extending the utility of the ECG beyond its current limitations, while at the same time preserving interpretability, which is fundamental to medical decision-making. We identified 36,186 ECGs from the UCSF database that were 1) in normal sinus rhythm and 2) would enable training of specific models for estimation of cardiac structure or function or detection of disease. We derived a novel model for ECG segmentation using convolutional neural networks (CNN) and Hidden Markov Models (HMM) and evaluated its output by comparing electrical interval estimates to 141,864 measurements from the clinical workflow. We built a 725-element patient-level ECG profile using downsampled segmentation data and trained machine learning models to estimate left ventricular mass, left atrial volume, mitral annulus e' and to detect and track four diseases: pulmonary arterial hypertension (PAH), hypertrophic cardiomyopathy (HCM), cardiac amyloid (CA), and mitral valve prolapse (MVP). CNN-HMM derived ECG segmentation agreed with clinical estimates, with median absolute deviations (MAD) as a fraction of observed value of 0.6% for heart rate and 4% for QT interval. Patient-level ECG profiles enabled quantitative estimates of left ventricular and mitral annulus e' velocity with good discrimination in binary classification models of left ventricular hypertrophy and diastolic function. Models for disease detection ranged from AUROC of 0.94 to 0.77 for MVP. Top-ranked variables for all models included known ECG characteristics along with novel predictors of these traits/diseases.Comment: 13 pages, 6 figures, 1 Table + Supplemen

Integrative Music Therapy: A Healing Intervention for Children with Disabilities

Children with developmental delays have barriers to accessing early interventions to help develop their childhood milestones. An accessible intervention considered a universal language to all cultures is integrative music therapy. Music therapy paired with in-home care can create a healing environment for children to learn developmental skills, initiate play, and express their emotions with the nurse’s guidance. An integrative music therapy educational program was developed using Jean Watson’s Theory of Human Caring as a theoretical framework for the pediatric nurses working in a rural Midwest home health care company. The goal of the educational program is to promote awareness of music therapy’s benefits in the child’s development and the nurse’s presence in practice through self-reflection. The project will utilize pre and post assessment surveys to evaluate the effectiveness of the educational program, in which the results can indicate opportunities for further education and research. A metaphor was developed to help healthcare providers and parents understand the purpose of integrating music therapy in practice for children with developmental delays. Children with developmental delays must continue to overcome the stagnation in their developmental milestones to decrease the risk of poor health outcomes. Through the educational program, nurses will be able to create a therapeutic environment and use their presence to help their client improve their development

3d Modularity

We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d $\mathcal{N}=2$ theories where such structures a priori are not manifest. These modular structures include: mock modular forms, $SL(2,\mathbb{Z})$ Weil representations, quantum modular forms, non-semisimple modular tensor categories, and chiral algebras of logarithmic CFTs.Comment: 119 pages, 10 figures and 20 table