Matemáticas en contexto

El libro compila estrategias didácticas derivadas del programa de formación complementario escritas por instructores técnicos de diferentes regionales del país, describe la forma en que se incorpora el conocimiento matemático en campos específicos de diferentes áreas de formación laboral basado en las teorías didácticas y reflexiones pedagógicas de instructores.The book compiles the didactic strategies derived from the complementary training program by the technical instructors of the regional media of the country, describes the way in which mathematical knowledge is incorporated in the fields of different areas of work training based on theories didactic and pedagogical reflections of instructors.Consideraciones frente al aprendizaje de las matemáticas -- Perspectiva constructivista -- Teoría de las situaciones didácticas -- Modelación matemática -- Mediación tecnológica -- Pensamiento numérico variacional -- Pensamiento numérico -- Pensamiento variacional -- Diseño de modelo matemático con aplicación de costos de producción -- Modelo matemático del consumo de gas en un artefacto afectado por su presión de trabajo -- Planeación de la producción agrícola: Caso plan óptimo de siembra que permita alcanzar la máxima rentabilidad del cultivo -- Estudio del Álgebra de Boole -- Diseño de un modelo de inventarios para una pequeña empresa de calzado de dotación -- Estudio de la Ley de Ohm mediante herramienta interactiva -- Pensamiento métrico-geométrico -- Pensamiento geométrico -- Pensamiento métrico -- Caso de optimización de recursos en el sector industrial de la confección -- Optimización de espacios para huertas urbanas -- Optimización de los costos del espacio de almacenamiento en microempresas y pequeñas empresas de acuerdo con las normas de seguridad vigentes -- Unidad de medida métrica para confección de ropa exterior femenina -- Optimización de recursos aplicando el proceso administrativo -- Pensamiento aleatorio -- Estadística Básica para Articulación con la Media -- Evaluación del impacto de la accidentalidad en la implementación del Sistema de Gestión de Seguridad y Salud en el Trabajo (sg-sst) por medio de indicadores -- Identificar los aspectos de la declaración de renta para una persona natural no obligada a llevar contabilidad -- Fortalecimiento de la estadística: caso de las unidades productivas del Centro de Biotecnología Agropecuaria -- Estadística dinámica -- Resultados preliminaresna[270 páginas

Finishing the euchromatic sequence of the human genome

The sequence of the human genome encodes the genetic instructions for human physiology, as well as rich information about human evolution. In 2001, the International Human Genome Sequencing Consortium reported a draft sequence of the euchromatic portion of the human genome. Since then, the international collaboration has worked to convert this draft into a genome sequence with high accuracy and nearly complete coverage. Here, we report the result of this finishing process. The current genome sequence (Build 35) contains 2.85 billion nucleotides interrupted by only 341 gaps. It covers ∼99% of the euchromatic genome and is accurate to an error rate of ∼1 event per 100,000 bases. Many of the remaining euchromatic gaps are associated with segmental duplications and will require focused work with new methods. The near-complete sequence, the first for a vertebrate, greatly improves the precision of biological analyses of the human genome including studies of gene number, birth and death. Notably, the human enome seems to encode only 20,000-25,000 protein-coding genes. The genome sequence reported here should serve as a firm foundation for biomedical research in the decades ahead

Prevalence and risk factors for delirium in critically ill patients with COVID-19 (COVID-D): a multicentre cohort study

Background: To date, 750 000 patients with COVID-19 worldwide have required mechanical ventilation and thus are at high risk of acute brain dysfunction (coma and delirium). We aimed to investigate the prevalence of delirium and coma, and risk factors for delirium in critically ill patients with COVID-19, to aid the development of strategies to mitigate delirium and associated sequelae. Methods: This multicentre cohort study included 69 adult intensive care units (ICUs), across 14 countries. We included all patients (aged 6518 years) admitted to participating ICUs with severe acute respiratory syndrome coronavirus 2 infection before April 28, 2020. Patients who were moribund or had life-support measures withdrawn within 24 h of ICU admission, prisoners, patients with pre-existing mental illness, neurodegenerative disorders, congenital or acquired brain damage, hepatic coma, drug overdose, suicide attempt, or those who were blind or deaf were excluded. We collected de-identified data from electronic health records on patient demographics, delirium and coma assessments, and management strategies for a 21-day period. Additional data on ventilator support, ICU length of stay, and vital status was collected for a 28-day period. The primary outcome was to determine the prevalence of delirium and coma and to investigate any associated risk factors associated with development of delirium the next day. We also investigated predictors of number of days alive without delirium or coma. These outcomes were investigated using multivariable regression. Findings: Between Jan 20 and April 28, 2020, 4530 patients with COVID-19 were admitted to 69 ICUs, of whom 2088 patients were included in the study cohort. The median age of patients was 64 years (IQR 54 to 71) with a median Simplified Acute Physiology Score (SAPS) II of 40\ub70 (30\ub70 to 53\ub70). 1397 (66\ub79%) of 2088 patients were invasively mechanically ventilated on the day of ICU admission and 1827 (87\ub75%) were invasively mechanical ventilated at some point during hospitalisation. Infusion with sedatives while on mechanical ventilation was common: 1337 (64\ub70%) of 2088 patients were given benzodiazepines for a median of 7\ub70 days (4\ub70 to 12\ub70) and 1481 (70\ub79%) were given propofol for a median of 7\ub70 days (4\ub70 to 11\ub70). Median Richmond Agitation\u2013Sedation Scale score while on invasive mechanical ventilation was \u20134 (\u20135 to \u20133). 1704 (81\ub76%) of 2088 patients were comatose for a median of 10\ub70 days (6\ub70 to 15\ub70) and 1147 (54\ub79%) were delirious for a median of 3\ub70 days (2\ub70 to 6\ub70). Mechanical ventilation, use of restraints, and benzodiazepine, opioid, and vasopressor infusions, and antipsychotics were each associated with a higher risk of delirium the next day (all p 640\ub704), whereas family visitation (in person or virtual) was associated with a lower risk of delirium (p<0\ub70001). During the 21-day study period, patients were alive without delirium or coma for a median of 5\ub70 days (0\ub70 to 14\ub70). At baseline, older age, higher SAPS II scores, male sex, smoking or alcohol abuse, use of vasopressors on day 1, and invasive mechanical ventilation on day 1 were independently associated with fewer days alive and free of delirium and coma (all p<0\ub701). 601 (28\ub78%) of 2088 patients died within 28 days of admission, with most of those deaths occurring in the ICU. Interpretation: Acute brain dysfunction was highly prevalent and prolonged in critically ill patients with COVID-19. Benzodiazepine use and lack of family visitation were identified as modifiable risk factors for delirium, and thus these data present an opportunity to reduce acute brain dysfunction in patients with COVID-19. Funding: None. Translations: For the French and Spanish translations of the abstract see Supplementary Materials section

Worldwide trends in population-based survival for children, adolescents, and young adults diagnosed with leukaemia, by subtype, during 2000–14 (CONCORD-3): analysis of individual data from 258 cancer registries in 61 countries

Background: Leukaemias comprise a heterogenous group of haematological malignancies. In CONCORD-3, we analysed data for children (aged 0–14 years) and adults (aged 15–99 years) diagnosed with a haematological malignancy during 2000–14 in 61 countries. Here, we aimed to examine worldwide trends in survival from leukaemia, by age and morphology, in young patients (aged 0–24 years). Methods: We analysed data from 258 population-based cancer registries in 61 countries participating in CONCORD-3 that submitted data on patients diagnosed with leukaemia. We grouped patients by age as children (0–14 years), adolescents (15–19 years), and young adults (20–24 years). We categorised leukaemia subtypes according to the International Classification of Childhood Cancer (ICCC-3), updated with International Classification of Diseases for Oncology, third edition (ICD-O-3) codes. We estimated 5-year net survival by age and morphology, with 95% CIs, using the non-parametric Pohar-Perme estimator. To control for background mortality, we used life tables by country or region, single year of age, single calendar year and sex, and, where possible, by race or ethnicity. All-age survival estimates were standardised to the marginal distribution of young people with leukaemia included in the analysis. Findings: 164 563 young people were included in this analysis: 121 328 (73·7%) children, 22 963 (14·0%) adolescents, and 20 272 (12·3%) young adults. In 2010–14, the most common subtypes were lymphoid leukaemia (28 205 [68·2%] patients) and acute myeloid leukaemia (7863 [19·0%] patients). Age-standardised 5-year net survival in children, adolescents, and young adults for all leukaemias combined during 2010–14 varied widely, ranging from 46% in Mexico to more than 85% in Canada, Cyprus, Belgium, Denmark, Finland, and Australia. Individuals with lymphoid leukaemia had better age-standardised survival (from 43% in Ecuador to ≥80% in parts of Europe, North America, Oceania, and Asia) than those with acute myeloid leukaemia (from 32% in Peru to ≥70% in most high-income countries in Europe, North America, and Oceania). Throughout 2000–14, survival from all leukaemias combined remained consistently higher for children than adolescents and young adults, and minimal improvement was seen for adolescents and young adults in most countries. Interpretation: This study offers the first worldwide picture of population-based survival from leukaemia in children, adolescents, and young adults. Adolescents and young adults diagnosed with leukaemia continue to have lower survival than children. Trends in survival from leukaemia for adolescents and young adults are important indicators of the quality of cancer management in this age group

Differential cross-section measurements for the electroweak production of dijets in association with a Z boson in proton–proton collisions at ATLAS

Differential cross-section measurements are presented for the electroweak production of two jets in association with a $Z$ boson. These measurements are sensitive to the vector-boson fusion production mechanism and provide a fundamental test of the gauge structure of the Standard Model. The analysis is performed using proton-proton collision data collected by ATLAS at $\sqrt{s}$=13 TeV and with an integrated luminosity of 139 fb$^{-1}$. The differential cross-sections are measured in the $Z\rightarrow \ell^+\ell^-$ decay channel ($\ell=e,\mu$) as a function of four observables: the dijet invariant mass, the rapidity interval spanned by the two jets, the signed azimuthal angle between the two jets, and the transverse momentum of the dilepton pair. The data are corrected for the effects of detector inefficiency and resolution and are sufficiently precise to distinguish between different state-of-the-art theoretical predictions calculated using Powheg+Pythia8, Herwig7+Vbfnlo and Sherpa 2.2. The differential cross-sections are used to search for anomalous weak-boson self-interactions using a dimension-six effective field theory. The differential cross-section as a function of the signed azimuthal angle between the two jets is found to be particularly sensitive to the interference between the Standard Model and dimension-six scattering amplitudes and provides a direct test of charge-conjugation and parity invariance in the weak-boson self-interactions