Class voting, spatial segregation and metropolitan context: Operators in pluralized urban countries

class voting

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

We propose a Grand Unified Theory of Flavour, based on $SO(10)$ together with a non-Abelian discrete group $S_4$, under which the unified three quark and lepton 16-plets are unified into a single triplet $3'$. The model involves a further discrete group $\mathbb{Z}_4^R\times \mathbb{Z}_4^3$ 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 $260^{\circ}$, an atmospheric angle in the first octant and neutrinoless double beta decay with $m_{\beta \beta}= 11$ meV. We discuss $N_2$ leptogenesis, which fixes the second right-handed neutrino mass to be $M_2\simeq 2\times 10^{11}$ GeV, in the natural range predicted by the model.Comment: 26 pages, 10 figure

DISCOVERY: A Visual Arts Elementary School

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

Let $\phi:M\to\mathbb{S}^{n+1}\subset\mathbb{R}^{n+2}$ be an immersion of a complete $n$-dimensional oriented manifold. For any $v\in\mathbb{R}^{n+2}$, let us denote by $\ell_v:M\to\mathbb{R}$ the function given by $\ell_v(x)=\phi(x),v$ and by $f_v:M\to\mathbb{R}$, the function given by $f_v(x)=\nu(x),v$, where $\nu:M\to\mathbb{S}^{n}$ is a Gauss map. We will prove that if $M$ has constant mean curvature, and, for some $v\ne{\bf 0}$ and some real number $\lambda$, we have that $\ell_v=\lambda f_v$, then, $\phi(M)$ 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 $M^n$ in $\mathbb{S}^{n+1}$ which is neither totally umbilical nor a Clifford hypersurface and has constant scalar curvature is greater than or equal to $2n+4$.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

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

Simulating chemistry using quantum computers

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

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

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.

The relative abundance of wheat Rubisco activase isoforms is post‑transcriptionally regulated

Diurnal rhythms and light availability affect transcription–translation feedback loops that regulate the synthesis of photosynthetic proteins. The CO2-fixing enzyme Rubisco is the most abundant protein in the leaves of major crop species and its activity depends on interaction with the molecular chaperone Rubisco activase (Rca). In Triticum aestivum L. (wheat), three Rca isoforms are present that differ in their regulatory properties. Here, we tested the hypothesis that the relative abundance of the redox-sensitive and redox-insensitive Rca isoforms could be differentially regulated throughout light–dark diel cycle in wheat. While TaRca1-β expression was consistently negligible throughout the day, transcript levels of both TaRca2-β and TaRca2-α were higher and increased at the start of the day, with peak levels occurring at the middle of the photoperiod. Abundance of TaRca-β protein was maximal 1.5 h after the peak in TaRca2-β expression, but the abundance of TaRca-α remained constant during the entire photoperiod. The redox-sensitive TaRca-α isoform was less abundant, representing 85% of the redox-insensitive TaRca-β at the transcript level and 12.5% at the protein level. Expression of Rubisco large and small subunit genes did not show a consistent pattern throughout the diel cycle, but the abundance of Rubisco decreased by up to 20% during the dark period in fully expanded wheat leaves. These results, combined with a lack of correlation between transcript and protein abundance for both Rca isoforms and Rubisco throughout the entire diel cycle, suggest that the abundance of these photosynthetic enzymes is post-transcriptionally regulated