1,032 research outputs found

    SO(10)×S4\mathbf{SO(10)}\times \mathbf{S_4} Grand Unified Theory of Flavour and Leptogenesis

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    We propose a Grand Unified Theory of Flavour, based on SO(10)SO(10) together with a non-Abelian discrete group S4S_4, under which the unified three quark and lepton 16-plets are unified into a single triplet 33'. The model involves a further discrete group Z4R×Z43 \mathbb{Z}_4^R\times \mathbb{Z}_4^3 which controls the Higgs and flavon symmetry breaking sectors. The CSD2 flavon vacuum alignment is discussed, along with the GUT breaking potential and the doublet-triplet splitting, and proton decay is shown to be under control. The Yukawa matrices are derived in detail, from renormalisable diagrams, and neutrino masses emerge from the type I seesaw mechanism. A full numerical fit is performed with 15 input parameters generating 19 presently constrained observables, taking into account supersymmetry threshold corrections. The model predicts a normal neutrino mass ordering with a CP oscillation phase of 260260^{\circ}, an atmospheric angle in the first octant and neutrinoless double beta decay with mββ=11m_{\beta \beta}= 11 meV. We discuss N2N_2 leptogenesis, which fixes the second right-handed neutrino mass to be M22×1011M_2\simeq 2\times 10^{11} GeV, in the natural range predicted by the model.Comment: 26 pages, 10 figure

    DISCOVERY: A Visual Arts Elementary School

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    On average, school-age children spend more time in the classroom environment than they do at home. Why not provide environments that stimulate children’s curiosity to learn through visual arts? Including visual arts in educational programs can enhance students’ cognitive development, problem-solving abilities, cultural awareness, and critical thinking skills. As someone who has attended various public schools in Florida, I’ve found that incorporating arts education into the curriculum can enhance students’ overall engagement with learning. Unfortunately, many students lack access to arts education due to a lack of funding and resources. Traditionally, the arts have been viewed as an opportunity for creative expression and separated from “real” learning like math, science, and English. However, multiple case studies have shown that incorporating visual arts into education can lead to better learning outcomes. For example, one compelling program called MASE integrates visual arts with geometry, allowing students to creatively solve problems while learning about both topics. Therefore, I propose designing an elementary school that prioritizes arts education in its curriculum. The first five years of a child’s development are crucial, providing a foundation for social-emotional and physical development. Children are tactile learners, and research has shown that the number of tactile receptors in the fingertips gradually decreases after the age of ten. By designing a space that prioritizes the arts, students will appreciate the benefits of creativity in their education. Activities like drawing, painting, and working with ceramics provide effective methods of communication for children. They allow children to express their opinions and beliefs to adults using visual media. Additionally, these activities help children connect what they learn to various contexts, make connections with prior knowledge and everyday experiences, and acquire new knowledge in more meaningful ways. In conclusion, incorporating visual arts into education can have significant benefits for students. By prioritizing arts education in a school’s curriculum, we can help students develop crucial skills while encouraging creativity and self-expression

    A characterization of quadric constant mean curvature hypersurfaces of spheres

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    Let ϕ:MSn+1Rn+2\phi:M\to\mathbb{S}^{n+1}\subset\mathbb{R}^{n+2} be an immersion of a complete nn-dimensional oriented manifold. For any vRn+2v\in\mathbb{R}^{n+2}, let us denote by v:MR\ell_v:M\to\mathbb{R} the function given by v(x)=ϕ(x),v\ell_v(x)=\phi(x),v and by fv:MRf_v:M\to\mathbb{R}, the function given by fv(x)=ν(x),vf_v(x)=\nu(x),v, where ν:MSn\nu:M\to\mathbb{S}^{n} is a Gauss map. We will prove that if MM has constant mean curvature, and, for some v0v\ne{\bf 0} and some real number λ\lambda, we have that v=λfv\ell_v=\lambda f_v, then, ϕ(M)\phi(M) is either a totally umbilical sphere or a Clifford hypersurface. As an application, we will use this result to prove that the weak stability index of any compact constant mean curvature hypersurface MnM^n in Sn+1\mathbb{S}^{n+1} which is neither totally umbilical nor a Clifford hypersurface and has constant scalar curvature is greater than or equal to 2n+42n+4.Comment: Final version (February 2008). To appear in the Journal of Geometric Analysi

    El Mecanismo Causal del Voto de Oposición a una Obra Vial: Una exploración Espacial y Sociológica

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    Este estudio presenta la geografía y los mecanismos causales del voto de oposición en el plebiscito a la construcción del segundo piso del Periférico en la ciudad de México. Contiene una revisión de la literatura especializada, una descripción de la obra y el plebiscito, sus resultados, indicadores socioeconómicos, y la aplicación de diversas técnicas de estadística espacial y pruebas no paramétricas. El análisis realizado muestra la existencia de explicaciones geográficas y sociológicas sobre el voto de oposición. Geográficamente se encontró que el voto de oposición fue mayor en promedio y en varianza en la zona alrededor de la obra. Sociológicamente se encontró que las áreas de la ciudad con los mejores salarios tendieron a oponerse la construcción de la obra, mientras que las áreas con los mayores niveles de marginación tendieron a aceptarla. Se detectó una correlación negativa entre el % voto perredista para jefe de gobierno y el % de voto de oposición a la obra pero este hallazgo requiere de una mayor elaboraciónOposición política, participación social, votación, análisis estadístico, geografía política

    Adapting V-ISA Technology: Driver Behaviour along Interchange Ramp and Merging/Diverging Terminals

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    An original in-vehicle Intelligent Speed Adaptation System for Visibility (V-ISA) was designed to promote compliance with real-time speed management. The functionality of V-ISA is based on the prevailing sight conditions along the road, and operates in two variants: (i) providing visual information, and (ii) vehicle speed intervention. A road scenario with the driver performing merging and diverging manoeuvres in a motorway section was designed. A within-subject experiment involved 32 participants and a vehicle equipped with the two variants and the system off (baseline condition) under two traffic flow conditions. V-ISA had a significant positive effect on the drivers' longitudinal performance along ramps. This change in behaviour along ramps had no effect on merging and diverging manoeuvres. V-ISA had a positive impact on driver speed behaviour in such complex road environment and assisted drivers to modulate the operating speed towards the safe dynamic limits

    Simulating chemistry using quantum computers

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    The difficulty of simulating quantum systems, well-known to quantum chemists, prompted the idea of quantum computation. One can avoid the steep scaling associated with the exact simulation of increasingly large quantum systems on conventional computers, by mapping the quantum system to another, more controllable one. In this review, we discuss to what extent the ideas in quantum computation, now a well-established field, have been applied to chemical problems. We describe algorithms that achieve significant advantages for the electronic-structure problem, the simulation of chemical dynamics, protein folding, and other tasks. Although theory is still ahead of experiment, we outline recent advances that have led to the first chemical calculations on small quantum information processors.Comment: 27 pages. Submitted to Ann. Rev. Phys. Che

    Determination of Antibody Activity by Platelet Aggregation

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    Platelets play an important role in hemostasis by forming clots and stopping bleeding. In immune thrombotic conditions, platelets and leukocytes are aberrantly activated by pathogenic antibodies resulting in platelet aggregates and NETosis, leading to thrombosis and thrombocytopenia. A simple assay that assesses platelet function and antibody activity is light transmission aggregometry. This assay can be used to determine antibody activity in patients with disorders such as heparin-induced thrombocytopenia (HIT) and vaccine-induced thrombotic thrombocytopenia (VITT). Briefly, for detection of pathogenic antibody, platelet-rich plasma (PRP) is treated with a specific agent (e.g., patient sera or purified patient antibodies) with constant stirring. Upon activation, platelets undergo a shape change and adhere to each other forming aggregates. This causes a reduction in opacity allowing more light to pass through PRP. Light transmission through the cuvette is proportional to the degree of platelet aggregation and is measured by the photocell over time. The advantage of this protocol is that it is a simple, reliable assay that can be applied to assess antibody activity in thrombotic conditions. Light transmission aggregometry does not require the use of radioactive reagents and is technically less demanding compared with 14C-serotonin release assay, another common assay for detecting antibody activity

    Una Evaluación Geográfica de la Política de Educación Media Superior de la Ciudad de México

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    En este trabajo presentamos una evaluación geográfica de la política de las preparatorias creadas y administradas por el gobierno de la ciudad de México. La revisión teórica y evaluación estadística realizadas nos ha permitido (1) construir relaciones explicativas útiles entre varios conceptos de teorías urbanas provenientes de escuelas divergentes, y de disciplinas diferentes, y a la vez (2) hacer una demostración empírica del incumplimiento de uno de los objetivos geográficos de esta política de la ciudad de México.
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