Relevant bibliographies by topics / Lorentz factor

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Lorentz factor'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Lorentz factor"

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Martinez Viladesau, Enrique. "Theory of relativity: Analysis of Lorentz transformation and ‎Lorentz factor." International Journal of Fundamental Physical Sciences 8, no. 3 (2018): 87–91. http://dx.doi.org/10.14331/ijfps.2012.330118.

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Martinez Viladesau, Enrique. "Theory of relativity: Analysis of Lorentz transformation and Lorentz factor." International Journal of Fundamental Physical Sciences 8, no. 3 (2018): 87–91. http://dx.doi.org/10.14331/ijfps.2018.330118.

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Yinghua, W. "Lorentz–polarization factor for correction of diffraction-line profiles." Journal of Applied Crystallography 20, no. 3 (1987): 258–59. http://dx.doi.org/10.1107/s0021889887086746.

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The Lorentz–polarization factor (1 + cos22 θ)/sin2 θ cos θ for the integrated intensity of a diffraction line is different from the Lorentz–polarization factor (1 + cos2 2θ)/sin2 θ for a diffraction-line profile; nevertheless, in most of the literature it is being used to correct diffraction-line profiles. The errors introduced in the peak shape and position by use of the Lorentz–polarization factor (1 + cos2 2θ)/sin2 θ cos θ are discussed.
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Li, Jing, Da-Bin Lin, Rui-Jing Lu, et al. "Jets in a Gamma-Ray Burst during Its Prompt Emission: Evolution of the Lorentz Factor." Astrophysical Journal 943, no. 2 (2023): 145. http://dx.doi.org/10.3847/1538-4357/aca96a.

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Abstract Knowledge about the Lorentz factor and its evolution of relativistic jets in gamma-ray bursts (GRBs) is crucial to understand their physics. An exact value of the bulk Lorentz factor can be estimated based on a high-energy spectral cutoff, which may appear in the GRBs’ prompt emission owing to the absorption of photon–photon pair production. In this work, we focus on an investigation of the bulk Lorentz factor evolution of jets in an individual burst. Based on Fermi observations, we search for bursts with multiple GRB pulses characterized by a high-energy spectral cutoff, and nine GRB
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Klinaku, Shukri. "Light clock and the Lorentz factor." Physics Essays 28, no. 4 (2015): 488–90. http://dx.doi.org/10.4006/0836-1398-28.4.488.

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Yang, JiangHe, JunHui Fan, and YuHai Yuan. "Lorentz factor estimation for radio sources." Science China Physics, Mechanics and Astronomy 55, no. 8 (2012): 1510–14. http://dx.doi.org/10.1007/s11433-011-4807-x.

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Gao, Duan-Yuan, and Yuan-Chuan Zou. "Jet Lorentz Factor Constraint for GRB 221009A Based on the Optical Depth of the TeV Photons." Astrophysical Journal Letters 956, no. 2 (2023): L38. http://dx.doi.org/10.3847/2041-8213/acfed1.

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Abstract The recent detection of teraelectronvolt (TeV) photons from the record-breaking gamma-ray burst GRB 221009A during its prompt phase poses challenges for constraining its Lorentz factor. We reevaluate the constraints on the jet Lorentz factor considering a two-zone model, wherein the TeV photons originate from the external shock region while the lower-energy MeV photons come from the internal prompt emission region. By properly accounting for the evolution of the MeV photon spectrum and light curve, we calculate the optical depth for TeV photons and derive a minimum Lorentz factor of a
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Al-Ameen, Talal, Maythem Mahmud, and Imad Muhi. "Can Newtonian kinetic energy and Einsteinian rest-mass energy be expressed by the binomial expansion of the Lorentz factor? And how valid is using Einstein’s E = mc2 to calculate the nuclear fission energy?" Journal of Physics: Conference Series 2793, no. 1 (2024): 012002. http://dx.doi.org/10.1088/1742-6596/2793/1/012002.

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Abstract The binomial (Taylor) expansion of the Lorentz factor has been reconsidered here in an attempt to find out whether the Newtonian kinetic energy and the Einsteinian rest-mass energy are implicitly embedded in the mathematical structure of the binomial expansion of the Lorentz factor (as Einstein postulated in his Special Theory of Relativity). Advocates of Standard Special Relativity show that it is possible to obtain these two kinds of energy by multiplying both sides of the expansion of the Lorentz factor by the moving object’s rest mass m 0 and the square of the speed of light c 2.
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McPherson, J. W. "Increases in Lorentz Factor with Dielectric Thickness." World Journal of Condensed Matter Physics 06, no. 02 (2016): 152–68. http://dx.doi.org/10.4236/wjcmp.2016.62018.

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Kim, Young S. "Lorentz coherence and the proton form factor." Physica Scripta 90, no. 7 (2015): 074037. http://dx.doi.org/10.1088/0031-8949/90/7/074037.

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Dissertations / Theses on the topic "Lorentz factor"

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Palma, Giuseppe. "Simulation of High Lorentz Factor Flows from Gamma-Ray Bursts." Doctoral thesis, Scuola Normale Superiore, 2010. http://hdl.handle.net/11384/85847.

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Introduction: The plan of this work is as follow. In the first part I briefly review what is currently known about Gamma-Ray Bursts. Observations (Chapter 1) are followed by an overview on the most likely models and inner-engines (Chapter 2). One of the most relevant aspects in the Gamma-Ray Burst physics concerns relativistic hydrodynamics. Emission caused by dissipation of the kinetic energy of massive shells via shocks is commonly invoked in a large family of astrophysical phenomena, such as supernova remnants, active galactic nuclei, micro-quasars, galaxy clusters and – as I descri
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Yassine, Manal. "The prompt emission of Gamma-Ray Bursts : analysis and interpretation of Fermi observations." Thesis, Montpellier, 2017. http://www.theses.fr/2017MONTS006/document.

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Les sursauts gamma (GRBs pour "Gamma-Ray Bursts" en anglais) sont de brèves bouffées très énergétiques de rayonnement de haute énergie qui sont émises sur de courtes échelles de temps (fraction de seconde à plusieurs minutes). L'émission intense des sursauts gamma à haute énergie est supposée provenir d'un trou noir de masse stellaire nouvellement formé, accompagné d'un vent collimaté (i.e. un jet) se propageant à vitesse relativiste. L'émission est observée suivant deux phases successives, la phase prompte très erratique, et la phase de rémanence, moins lumineuse. Les deux instruments embarqu
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Gayou, Olivier. "Proton form factors : measurement of the proton form factors ratio µP GEp/GMp to Q2 = 5.6 GeV2 by recoil polarimetry." Clermont-Ferrand 2, 2002. http://www.theses.fr/2002CLF22343.

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Dans cette thèse sont présentés les résultats de l'expérience E99-007, qui a mesuré le rapport des facteurs de forme électrique et magnétique du proton, jusqu'au quadri-moment de transfert Q2 = 5. 6 GeV2, par polarisation de recul. Les données ont été prises en 2000 au Thomas Jefferson National Accelerator Facility en Virginie (USA). Un faisceau d'électrons polarisés de 4. 6 Gev a été diffusé sur une cible d'hydrogène liquide. La polarisation du proton de recul était mesurée dans le Polarimètre du Plan Focal, situé à l'extrémité de l'un des deux Spectromètres à Haute Résolution du Hall A. Le r
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Schultz, Isabel [Verfasser], and Lorenz [Gutachter] Meinel. "Therapeutic systems for Insulin-like growth factor-1 / Isabel Schultz. Gutachter: Lorenz Meinel." Würzburg : Universität Würzburg, 2015. http://d-nb.info/1111125457/34.

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Porter, Tyler Matthew. "Income Inequality and Development: Overview and Effects of North-South Trade." Kent State University Honors College / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ksuhonors1430872916.

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Wu, Fang [Verfasser], and Lorenz [Gutachter] Meinel. "Adding new functions to insulin-like growth factor-I (IGF-I) via genetic codon expansion / Fang Wu ; Gutachter: Lorenz Meinel." Würzburg : Universität Würzburg, 2019. http://d-nb.info/1176972898/34.

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Valdez, Arellano Marycielo Alesandra, and Hayashida Yomaira Harumi Mendoza. "Frecuencia y factores asociados a la infección por VIH en comunidades Shipibo-Konibo de la región Loreto - Perú." Bachelor's thesis, Universidad Peruana de Ciencias Aplicadas (UPC), 2019. http://hdl.handle.net/10757/625187.

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Antecedentes: La frecuencia de infección por VIH en poblaciones amazónicas muestra resultados disimiles. La comunidad Shipibo-Konibo es la segunda etnia amazónica peruana en número y existen reportes previos de frecuencias de infección por VIH elevadas en las regiones colindantes. Sin embargo, no existen estudios que hayan evaluado la frecuencia de infección en esta etnia. Objetivos: Evaluar la frecuencia y factores asociados a la presencia de infección por VIH en la comunidad Shipibo-Konibo de la provincia de Ucayali en el Departamento de Loreto. Métodos: Estudio transversal analítico
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Krähnke, Martin [Verfasser], Lorenz [Gutachter] Meinel, Torsten [Gutachter] Blunk та Petra [Gutachter] Högger. "Chondrogenic differentiation of bone marrow-derived stromal cells in pellet culture and silk scaffolds for cartilage engineering – Effects of different growth factors and hypoxic conditions / Martin Krähnke ; Gutachter: Lorenz Meinel, Torsten Blunk, Petra Högger". Würzburg : Universität Würzburg, 2019. http://d-nb.info/1202013619/34.

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Serafin, Kamil. "Bound States of Heavy Quarks in Renormalization Group Procedure for QCD." Doctoral thesis, 2019. https://depotuw.ceon.pl/handle/item/3516.

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The thesis presents a study of bound states of heavy quarks in heavy-flavor QCD (only quarks b and c, without light quarks). The theory is written in the front form of Hamiltonian dynamics, with the canonical Hamiltonian as a starting point that needs regularization and renormalization. It is renormalized using renormalization group procedure for effective particles (RGPEP). The RGPEP operates with the concept of effective particles whose size is a scale parameter of renormalization group transformation. The renormalized Hamiltonian, written in terms of creation and annihilation operators for
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Huang, Mei Chih, and 黃美智. "Factors affecting Taiwan''s income distribution-An Application of Lorenz Dominance." Thesis, 1995. http://ndltd.ncl.edu.tw/handle/54502286170540199512.

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Books on the topic "Lorentz factor"

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Bassotti, Giancarlo. La scuola di San Lorenzo: Una factory romana. Silvana editoriale, 2018.

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Hadron Form Factors. Taylor & Francis Group, 2020.

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Khodjamirian, Alexander. Hadron Form Factors. Taylor & Francis Group, 2021.

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Khodjamirian, Alexander. Hadron Form Factors: From Basic Phenomenology to QCD Sum Rules. Taylor & Francis Group, 2020.

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Khodjamirian, Alexander. Hadron Form Factors: From Basic Phenomenology to QCD Sum Rules. Taylor & Francis Group, 2020.

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Succi, Sauro. Advanced RLB models. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0035.

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The relativistic LB scheme described in Chapter 34 is based on the top-down approach and limited to weakly relativistic fluids. This chapter presents a systematic derivation of relativistic LB based on the continuum kinetic theory. The resulting scheme can handle relativistic flows with Lorentz factors up to order ten, thereby considerably extending the scope of the method. In addition, the extension of the LB scheme to generalized coordinates for the simulation of flows on curved manifolds, is also illustrated.
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Mashhoon, Bahram. Introduction. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803805.003.0001.

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This introductory chapter is mainly about the locality postulate of the standard relativity theory. The fundamental laws of microphysics have been formulated with respect to inertial observers. However, inertial observers do not in fact exist, since actual observers are accelerated. What do accelerated observers measure? Lorentz invariance is extended to accelerated observers by assuming that they are pointwise inertial. That is, an accelerated observer at each instant is equivalent to an otherwise identical momentarily comoving inertial observer. This hypothesis of locality, which underlies t
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Aroca Medina, Américo Javier. La conflictividad social en la región Loreta. Edited by Ruperto Perez Albela Stuart. The International Institute for Democracy and Electoral Assistance (International IDEA), 2024. https://doi.org/10.31752/idea.2024.82.

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La población de Loreto, su territorio y sus instituciones enfrentan principalmente problemas sociales, políticos, económicos y ambientales que se manifiestan en el incremento de la pobreza, el desempleo, la corrupción, la criminalidad, y la destrucción de sus bosques, afectando seriamente su desarrollo. También es un factor relevante la falta de confianza de la ciudadanía en sus autoridades debido a la limitada capacidad de gestión evidenciada y los frecuentes y graves casos de corrupción e impunidad que se registran, y que impactan en la institucionalidad regional. El informe de investigación
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Huffaker, Ray, Marco Bittelli, and Rodolfo Rosa. Entropy and Surrogate Testing. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198782933.003.0005.

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Reconstructing real-world system dynamics from time series data on a single variable is challenging because real-world data often exhibit a highly volatile and irregular appearance potentially driven by several diverse factors. NLTS methods help eliminate less likely drivers of dynamic irregularity. We set a benchmark for regular behavior by investigating how linear systems of ODEs are restricted to exponential and periodic dynamics, and illustrating how irregular behavior can arise if regular linear dynamics are corrupted with noise or shift over time (i.e., nonstationarity). We investigate h
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Ramírez Chung, José Francisco, Herman Bernardo Collazos Saldaña, Nadia Masaya Panduro Tenazoa, and Noé Ramírez Flores. Factores agroeconómicos y su relación con la subutilización en tres cultivos nativos de la comunidad flor de castaña Río Ucayali – Sapuena - Perú. Universidad Nacional Autónoma de Tayacaja Daniel Hernández Morillo (UNAT) - Fondo Editorial., 2022. http://dx.doi.org/10.56224/ediunat.14.

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Esta investigación se desarrolló en la selva baja del Perú, en la región de Loreto, provincia de Requena, distrito de Sapuena, comunidad de Flor de Castaña – Río Ucayali, cuyo objetivo fue determinar la relación entre factores agroeconómicos y la subutilización en tres cultivos como son la sacha papa (Dioscorea trífida), pituca (Colocasia esculenta) y witina (Xanthosoma sagittifolium) durante el año 2016. El estudio fue una investigación cuantitativa, del nivel relacional, no experimental, transversal, relacionando las variables de asociación y de supervisión (relacional simple). Para la confo
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Book chapters on the topic "Lorentz factor"

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Wu, Jianjun, Jian Li, Yuanzheng Zhao, and Yu Zhang. "Numerical Simulation of the Arc Ablation Process of PTFE Propellant." In Numerical Simulation of Pulsed Plasma Thruster. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-7958-1_2.

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AbstractPolytetrafluoroethylene (PTFE) is commonly employed as a propellant in PPTs due to its favorable vacuum physical properties. These properties include its non-adhesiveness and non-brittleness at low temperature, low outgassing rate in vacuum, and inherent self-lubrication. PTFE is ablated and ionized under the action of the discharge arc, and the products are accelerated and ejected from the thruster under the combined action of the Lorentz force and aerodynamic force, thus generating thrust. Due to factors such as propellant ablation lag, the utilization efficiency of PTFE is very low,
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Liu, Wendi, Léan E. Garland, Jesus Ochoa, and Michael J. Pyrcz. "A Geostatistical Heterogeneity Metric for Spatial Feature Engineering." In Springer Proceedings in Earth and Environmental Sciences. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-19845-8_1.

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AbstractHeterogeneity is a vital spatial feature for subsurface resource recovery predictions, such as mining grade tonnage functions, hydrocarbon recovery factor, and water aquifer draw-down predictions. Feature engineering presents the opportunity to integrate heterogeneity information, but traditional heterogeneity engineered features like Dykstra-Parsons and Lorenz coefficients ignore the spatial context; therefore, are not sufficient to quantify the heterogeneity over multiple scales of spatial intervals to inform predictive machine learning models. We propose a novel use of dispersion va
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"A Lorentz-Invariant Flux Factor." In Practical Quantum Electrodynamics. CRC Press, 2006. http://dx.doi.org/10.1201/b15918-16.

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Kolanoski, Hermann, and Norbert Wermes. "Transition radiation detectors." In Particle Detectors. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198858362.003.0012.

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The rearrangement of the electromagnetic field of a charged particle at a transition between media with different electric permittivity leads to the emission of electromagnetic radiation, so-called transition radiation. The chapter begins with the description of the characteristics of the radiation at a boundary, such as angular distribution, energy spectrum, dependence on the Lorentz factor γ‎ and photon yield. Then it is shown that a sufficient photon yield can only be achieved with a large number of transitions which is usually accomplished with stacks of thin foils. The interference phenom
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d’Inverno, Ray, and James Vickers. "The k-calculus." In Introducing Einstein's Relativity, 2nd ed. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780198862024.003.0002.

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Abstract Chapter 2 starts by discussing the activity of model building. It then introduces a slightly non-standard (but insightful) approach to special relativity, using the ‘k-calculus’ approach of Bondi. The chapter begins by discussing relativity in the Newtonian framework. It then goes on to introduce the two key postulates of special relativity, namely, the equivalence of all inertial observers and the constancy of the velocity of light. It then shows how one may use a clock together with light signals to measure distances. The k-factor, which is in effect a Doppler factor and measures ho
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Peebles, P. J. E. "Dirac Theory of the Electron." In Quantum Mechanics. Princeton University Press, 2019. http://dx.doi.org/10.23943/princeton/9780691209821.003.0008.

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This chapter explores applications drawn from Dirac theory of the electron. In the treatment of electrons, it uses the following: an electron has spin 1/2; its magnetic dipole moment is very nearly twice that of the orbital model in which charge and mass move together; and the spin-orbit interaction is a factor of two off the value arrived at by the heuristic argument in the Chapter 7. The factor of two in the last effect is recovered if one does the Lorentz transformations in a more careful (and correct) way, but it is easier to get it from the relativistic Dirac equation. This equation appli
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Krishnan, Kannan M. "X-Ray Diffraction." In Principles of Materials Characterization and Metrology. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198830252.003.0007.

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X-rays diffraction is fundamental to understanding the structure and crystallography of biological, geological, or technological materials. X-rays scatter predominantly by the electrons in solids, and have an elastic (coherent, Thompson) and an inelastic (incoherent, Compton) component. The atomic scattering factor is largest (= Z) for forward scattering, and decreases with increasing scattering angle and decreasing wavelength. The amplitude of the diffracted wave is the structure factor, F <sub>hkl</sub>, and its square gives the intensity. In practice, intensities are modified by temperature
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Lobunets, Yuriy. "System Analysis of Thermoelectric Heat Pump Circuits with Regenerative Heat Recovery." In Low-Temperature Technologies and Applications [Working Title]. IntechOpen, 2025. https://doi.org/10.5772/intechopen.1008184.

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A schematic concept of a compressorless heat pump for residential and commercial HVAC installations is considered. The technical approach is based on a solid-state thermoelectric heat pump, which will reduce energy consumption for cooling and heating compared to typical technologies. A key feature of all reverse thermodynamic cycles on which heat pumps operate is the inverse hyperbolic dependence of the coefficient of performance (COP) on the difference in operating temperatures. The considered design divides the total operating temperature difference into many small intervals, each with an in
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Darrigol, Olivier. "Old principles and a new world-view." In Electrodynamics from Ampère to Einstein. Oxford University PressOxford, 2000. http://dx.doi.org/10.1093/oso/9780198505945.003.0009.

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Abstract On the continent the electron theory became known mostly through Lorentz’s Versuch of 1895. At that stage this theory still had obvious defects. Lorentz himself noted that ‘a very simple fact,’ the absence of first-order optical effects of the ether wind, appeared in his theory ‘as a fortuitous consequence of rather complicated considerations.’ For the Michelson-Morley experiment of 1887 he had to introduce a new assumption on the behavior of intramolecular forces. Moreover, he admitted that future experiments would perhaps require more assumptions. This situation prompted Henri Poinc
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Kraemer, Helena Chmura, Karen Kraemer Lowe, and David J. Kupfer. "How Do We Know If Something Is an Important Risk Factor? Statistical and Clinical Significance." In To Your Health. Oxford University PressNew York, NY, 2005. http://dx.doi.org/10.1093/oso/9780195178708.003.0004.

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Abstract This notion, referred to as the “butterfly effect” in chaos theory (and often stated with different locations and different events), is ascribed to MIT mathematician Edward Lorenz. Making fun of his own concept that even tiny relationships among characteristics or events can effect huge changes, Lorenz later joked: “One meteorologist remarked that if the theory were correct, one flap of a seagull’s wings would be enough to alter the course of the weather forever.” Joking aside, Lorenz’s point is an important one to risk estimation. Some relationship, no matter how small, probably exis
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Conference papers on the topic "Lorentz factor"

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Ioka, Kunihito, J. E. McEnery, J. L. Racusin, and N. Gehrels. "High Lorentz Factor Fireballs for High-Energy GRB Emission." In GAMMA RAY BURSTS 2010. AIP, 2011. http://dx.doi.org/10.1063/1.3621740.

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Soderberg, Alicia M. "Constraints on the Bulk Lorentz Factor of GRB 990123." In GAMMA-RAY BURST AND AFTERGLOW ASTRONOMY 2001: A Workshop Celebrating the First Year of the HETE Mission. AIP, 2003. http://dx.doi.org/10.1063/1.1579332.

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Sonbas, Eda, Glen MacLachlan, Kalvir S. Dhuga, Peter Veres, and Ashwin Shenoy. "Temporal Variability and the Bulk Lorentz Factor of GRBs." In Swift: 10 Years of Discovery. Sissa Medialab, 2015. http://dx.doi.org/10.22323/1.233.0109.

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Mészáros, P., and M. J. Rees. "High Lorentz-factor e± jets in gamma-ray burst sources." In COMPTON GAMMA-RAY OBSERVATORY. AIP, 1993. http://dx.doi.org/10.1063/1.44190.

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Bao, Hua, Bo Qiu, Xiulin Ruan, and Yu Zhang. "Far Infrared Thermal Radiative Properties of Polar Materials From First-Principle Simulations." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-63959.

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The Lorentz oscillator model is well-known for its effectiveness to describe the far infrared optical properties of ionic materials. The parameters including oscillator strength and damping factor in the model are usually obtained by fitting to experimental results. In this paper, a new method, based on static and dynamic first-principle simulations, is developed to parameterize the Lorentz oscillator model with the initial atomic structure as the only input parameter. This method is then applied to predict the far infrared reflectance of GaAs, which shows excellent agreement with experimental
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Sonmezoglu, Soner, and David A. Horsley. "Off-resonance operation of a MEMS Lorentz force magnetometer with improved thermal stability of the scale factor." In 2016 IEEE 29th International Conference on Micro Electro Mechanical Systems (MEMS). IEEE, 2016. http://dx.doi.org/10.1109/memsys.2016.7421568.

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Song, Xiaoxiao, Lu Gao, Jingqian Xi, et al. "A MEMS Resonant Lorentz-Force Magnetometer with Both Structural Topology Optimization and Parametric Pumping for Q-Factor Enhancement." In 2022 IEEE 35th International Conference on Micro Electro Mechanical Systems Conference (MEMS). IEEE, 2022. http://dx.doi.org/10.1109/mems51670.2022.9699520.

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Song, Xiaoxiao, Chen Wang, Chengxin Li, et al. "A Resonant Lorentz-Force Magnetometer Based On Cavity Slotted Double-Ended Tuning Fork to Enhance Q-Factor and Sensitivity." In 2021 21st International Conference on Solid-State Sensors, Actuators and Microsystems (Transducers). IEEE, 2021. http://dx.doi.org/10.1109/transducers50396.2021.9495528.

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Melissinos, A. C. "Laser Electron Interactions at Critical Field Strength." In International Conference on Ultrafast Phenomena. Optica Publishing Group, 1996. http://dx.doi.org/10.1364/up.1996.wa.1.

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The electric field in the focus of an ultrafast laser pulse of sufficient energy can reach extremely high values; for I = 1019 W/cm2, Erms=Z0I∼6×1010V/cm. When a high energy electron traverses the laser focus, it experiences in its own rest-frame a field E * = 2γErms where γ = ε/mc2 is the Lorentz factor of the electron [ε is the energy and mc2 the rest mass of the electron]. In the present experiment, electrons from the Stanford Linear Accelerator collided with a frequency doubled pulse from a Nd:glass laser system.
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Bataiev, Mykola, Natalia Barchevska, Olena Lavrynenko, and Yurii Bataiev. "EPR study of spectral characteristics of REE oxides." In IXth INTERNATIONAL SAMSONOV CONFERENCE “MATERIALS SCIENCE OF REFRACTORY COMPOUNDS”. Frantsevich Ukrainian Materials Research Society, 2024. http://dx.doi.org/10.62564/m4-mb1415.

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The intensities of the EPR line for Er2O3 REE samples correspond to the Lorentz line theoretical model [1]. The dependence of the intensity of the lines on the corresponding the gain value has a linear model of the parameters. Dependence plane of the EPR line corresponding to the number of spin domains of the sample, as well shows a linear model of the coefficient value. EPR spectral lines located at 3560G, 1665G, and also at 3050G on the scale of the electromagnetic resonance field refer to the main ion Er3+ rare earth oxide (REE) oxide Er2O3 [2] EPR lines indicate the presence of ions in the
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