Fisica vectorial-1-vallejo-zambrano

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Contenido del índice: Números naturales. Suma de números naturales. Resta de números naturales. Suma y resta combinadas. Multiplicación de números naturales. División de números naturales. Potenciación de números naturales. Radicación de números naturales. Divisibilidad. Números primos y compuestos. Máximo común divisor y mínimo común múltiplo. Números enteros. Operaciones fundamentales con números enteros. Números racionales. Operaciones con números racionales.

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Álgebra Vectorial 1. Vectores en el plano y en el espacio 1.1. Simetría de puntos en los sistemas coordenados de dos y tres dimensiones. 1.2. Vector dirigido 1.3. Componentes escalares de un vector dirigido sobre los ejes coordenados en el plano y en el espacio. 1.4. El vector como pareja y como terna ordenada de números reales. 1.5. Definición de vector de posición 1.6. Módulo de un vector como conjunto ordenado de números reales. 2 Operaciones con vectores 2.1. Igualdad de vectores 2.2. Adición de vectores en dos, tres y n dimensiones 2.3. Sustracción de vectores 2.4. Multiplicación por un escalar 2.5. Propiedades de las operaciones 2.6. Vector nulo y vector unitario 2.7. Distancia entre dos puntos como el módulo de la diferencia de dos vectores 3. Producto escalar de dos vectores 3.1. Vectores unitarios i, j, k 3.2. Forma trinómica de un vector 3.3. Definición de producto escalar 3.4 Ortogonal 3.5. Angulo entre dos vectores 3.6. Definición de componente vectorial y proyección de componente escalar de un vector sobre otro 3.7. Cosenos directores 4. Producto vectorial de dos vectores 4.1. Interpretación geométrica y propiedades 4.2. Definición de paralelismo geométrico y propiedades 4.3. Aplicación del producto vectorial al cálculo de áreas de un paralelogramo 4.4. Definición de producto mixto 4.5. Calculo de volúmenes mediante el producto mixto. 5. Uso de software matemático como instrumento verificador de resultados y herramienta de visualización en conceptos.

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Genetics and epigenetics of ADHD and comorbid conditions

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Context. WASP-76 b has been a recurrent subject of study since the detection of a signature in high-resolution transit spectroscopy data indicating an asymmetry between the two limbs of the planet. The existence of this asymmetric signature has been confirmed by multiple studies, but its physical origin is still under debate. In addition, it contrasts with the absence of asymmetry reported in the infrared (IR) phase curve. Aims. We provide a more comprehensive dataset of WASP-76 b with the goal of drawing a complete view of the physical processes at work in this atmosphere. In particular, we attempt to reconcile visible high-resolution transit spectroscopy data and IR broadband phase curves. Methods. We gathered 3 phase curves, 20 occultations, and 6 transits for WASP-76 b in the visible with the CHEOPS space telescope. We also report the analysis of three unpublished sectors observed by the TESS space telescope (also in the visible), which represents 34 phase curves. Results. WASP-76 b displays an occultation of 260±11 and 152±10 ppm in TESS and CHEOPS bandpasses respectively. Depending on the composition assumed for the atmosphere and the data reduction used for the IR data, we derived geometric albedo estimates that range from 0.05 ± 0.023 to 0.146 ± 0.013 and from <0.13 to 0.189 ± 0.017 in the CHEOPS and TESS bandpasses, respectively. As expected from the IR phase curves, a low-order model of the phase curves does not yield any detectable asymmetry in the visible either. However, an empirical model allowing for sharper phase curve variations offers a hint of a flux excess before the occultation, with an amplitude of ∼40 ppm, an orbital offset of ∼−30◦ , and a width of ∼20◦ . We also constrained the orbital eccentricity of WASP-76 b to a value lower than 0.0067, with a 99.7% confidence level. This result contradicts earlier proposed scenarios aimed at explaining the asymmetry observed in high-resolution transit spectroscopy. Conclusions. In light of these findings, we hypothesise that WASP-76 b could have night-side clouds that extend predominantly towards its eastern limb. At this limb, the clouds would be associated with spherical droplets or spherically shaped aerosols of an unknown species, which would be responsible for a glory effect in the visible phase curves.

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Ultrasound color Doppler imaging has been routinely used for the diagnosis of cardiovascular diseases, enabling real-time flow visualization through the Doppler effect. Yet, its inability to provide true flow velocity vectors due to its one-dimensional detection limits its efficacy. To overcome this limitation, various VFI schemes, including multi-angle beams, speckle tracking, and transverse oscillation, have been explored, with some already available commercially. However, many of these methods still rely on autocorrelation, which poses inherent issues such as underestimation, aliasing, and the need for large ensemble sizes. Conversely, speckle-tracking-based VFI enables lateral velocity estimation but suffers from significantly lower accuracy compared to axial velocity measurements. To address these challenges, we have presented a speckle-tracking-based VFI approach utilizing multi-angle ultrafast plane wave imaging. Our approach involves estimating axial velocity components projected onto individual steered plane waves, which are then combined to derive the velocity vector. Additionally, we've introduced a VFI visualization technique with high spatial and temporal resolutions capable of tracking flow particle trajectories. Simulation and flow phantom experiments demonstrate that the proposed VFI method outperforms both speckle-tracking-based VFI and autocorrelation VFI counterparts by at least a factor of three. Furthermore, in vivo measurements on carotid arteries using the Prodigy ultrasound scanner demonstrate the effectiveness of our approach compared to existing methods, providing a more robust imaging tool for hemodynamic studies. Learning objectives: - Understand fundamental limitations of color Doppler imaging. - Understand principles behind advanced vector flow imaging techniques. - Familiarize with the ultrasound speckle tracking technique and its implications in flow imaging. - Explore experiments conducted using multi-angle plane wave ultrafast imaging, specifically utilizing the pulse-sequence mode on a 128-channel ultrasound research platform.

(May 9, 2024) Enhanced Ultrafast Vector Flow Imaging (VFI) Using Multi-Angle ...

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www.seribangash.com The Mariana Trench is one of the most remarkable geological features on Earth. Here are some details about it: Location: The Mariana Trench is located in the western Pacific Ocean, east of the Mariana Islands. It stretches for about 2,550 kilometers (1,580 miles) and is known as the deepest part of the world's oceans. Depth: The trench reaches incredible depths, with its deepest point known as the Challenger Deep, which plunges down to approximately 10,984 meters (36,037 feet) below sea level. To put this into perspective, if Mount Everest, the tallest mountain on Earth, were placed at the bottom of the Challenger Deep, its peak would still be over 2 kilometers (1.25 miles) underwater. Formation: The Mariana Trench was formed by the subduction of the Pacific Plate beneath the Mariana Plate. This process creates a deep trench as the heavier Pacific Plate is forced beneath the lighter Mariana Plate. Geological Features: The trench is characterized by steep, V-shaped valleys, and its walls are composed of highly compressed sedimentary rock. At the bottom of the trench, there are also large amounts of marine sediment. Pressure: The pressure at the bottom of the Mariana Trench is immense, reaching over 1,000 times the pressure at the surface. This extreme pressure creates a challenging environment for exploration and makes it difficult for organisms to survive. Exploration: Despite its extreme conditions, the Mariana Trench has been the subject of numerous scientific expeditions and explorations. One of the most famous explorations was the dive to the Challenger Deep by Swiss scientist Jacques Piccard and U.S. Navy Lieutenant Don Walsh in 1960. More recently, in 2012, filmmaker James Cameron made a solo dive to the bottom of the Challenger Deep in the Deepsea Challenger submersible. Biological Discoveries: Despite the harsh conditions, the Mariana Trench is home to a surprising variety of life forms, including unique species of deep-sea fish, crustaceans, and microbial life. Some organisms have adapted to survive in the extreme pressure and darkness of the trench. Environmental Importance: Studying the Mariana Trench provides valuable insights into the geology, biology, and oceanography of the deep sea. It also helps scientists better understand the processes that shape the Earth's crust and the distribution of life in the oceans. Conservation: Due to its remote location and extreme depths, the Mariana Trench has remained relatively untouched by human activity. However, there is growing concern about the potential impacts of deep-sea mining and pollution on this fragile ecosystem, highlighting the need for conservation efforts to protect this unique environment. https://seribangash.com/barber-shop-business-complete-guide-for-beginners/ https://seribangash.com/legend-virat-kohli-in-cricket-history/

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TheCarringtoneventof1859hasbeenthestrongestsolarflareintheobservationalhistory.ItplaysacrucialroleinsheddinglightonthefrequencyandimpactsofthepastandfutureSolarEnergeticParticle(SEP)eventsonhumansocieties.WeaddresstheimpactoftheCarringtoneventbymeasuringtree‐ring14Cwithmultiplereplicationsfromhigh‐latitudelocationsaroundtheeventandbycomparingthemwithmid‐latitudemeasurements.Atransientoffsetin14Cfollowingtheeventisobservedwithhighstatisticalsignificance.Ourstate‐of‐the‐art14Cproductionandtransportmodeldoesnotreproducetheobservationalfinding,suggestingfeaturesbeyondpresentunderstanding.Particularly,ourobservationwouldrequirepartiallyfasttransportof14Cbetweenthestratosphereandtroposphereathighlatitudes.TheobservationisconsistentwiththepreviousfindingswiththeSEPeventsof774and993CEforwhichfasterintegrationof14Cintotreeringsisobservedathighlatitudes

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Fisica vectorial-1-vallejo-zambrano

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