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1

Yılmaz, Süha, and Yasin Unluturk. "On spherical indicatrices of curves in Galilean 4-space G₄." Journal of the Indonesian Mathematical Society 25, no. 2 (2019): 154–70. http://dx.doi.org/10.22342/jims.25.2.473.154-170.

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In this study, we indroduce spherical indicatrices of curves in four dimensional Galilean space. Moreover, we characterize these curves in terms of Frenet-Serret vector fields in four dimensional Galilean space. Frenet-Serret apparatus of these curves are obtained in terms of base curve's Frenet invariants. Additionally, some theorems are given regarding characterizations of spherical indicatrices of curves in four dimensional Galilean space.
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2

Öztekin, Handan. "Special Bertrand Curves in 4D Galilean Space." Mathematical Problems in Engineering 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/318458.

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The generalization of Bertrand curves in Galilean 4-space is introduced and the characterization of the generalized Bertrand curves is obtained. Furthermore, it is proved that no special curve is a classical Bertrand curve in Galilean 4-space such that the notion of classical Bertrand curve is definite only in three-dimensional spaces.
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3

Gün Bozok, Hülya, Sezin Aykurt Sepet, and Mahmut Ergüt. "Motions of Curves in 4-Dimensional Galilean Space G4." Asian-European Journal of Mathematics 14, no. 09 (2021): 2150153. http://dx.doi.org/10.1142/s1793557121501539.

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In this paper, we investigate the flow of curve and its equiform geometry in 4-dimensional Galilean space. We obtain that the Frenet equations and curvatures of inextensible flows of curves and its equiformly invariant vector fields and intrinsic quantities are independent of time. We find that the motions of curves and its equiform geometry can be defined by the inviscid and stochastic Burgers’ equations in 4-dimensional Galilean space.
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4

Lieske, J. H. "Galilean Satellites and the Galileo Space Mission." International Astronomical Union Colloquium 165 (1997): 13–20. http://dx.doi.org/10.1017/s0252921100046327.

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AbstractThe Galileo spacecraft arrived at Jupiter in December 1995 to start its two-year mission of exploring the Jovian system. The spacecraft will complete eleven orbits around Jupiter and have ten more close encounters with the outer three Galilean satellites, after the initial close approach to Io on December 7, 1995. Since the Io encounter occurred closer to Io than originally designed, the spacecraft energy change was greater than nominally planned and resulted in an initial spacecraft orbital period about 7 days less than that designed in the nominal tour. A 100-km change in the Io-enco
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5

Yoon, Dae Won. "On the inclined curves in Galilean 4-space." Applied Mathematical Sciences 7 (2013): 2193–99. http://dx.doi.org/10.12988/ams.2013.13196.

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6

Elzawy, M., and S. Mosa. "Smarandache curves in the Galilean 4-space G4." Journal of the Egyptian Mathematical Society 25, no. 1 (2017): 53–56. http://dx.doi.org/10.1016/j.joems.2016.04.008.

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7

Korkmaz, Fatma Bulut, and Mehmet Bektaandş. "Second Binormal Motions of Inextensible Curves in 4-dimensional Galilean Space." Applied Mathematics and Nonlinear Sciences 5, no. 1 (2020): 249–54. http://dx.doi.org/10.2478/amns.2020.1.00022.

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AbstractIn our study, we give the associated evolution equations for curvature and torsion as a system of partial differential equations. In addition, we study second binormal motions of inextensible curves in 4-dimensional Galilean space.
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8

OTHMAN, A. A., M. DE MONTIGNY, and F. C. KHANNA. "GALILEAN COVARIANT DIRAC EQUATION WITH A WOODS–SAXON POTENTIAL." International Journal of Modern Physics E 22, no. 12 (2013): 1350092. http://dx.doi.org/10.1142/s0218301313500924.

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We derive and solve the Galilean covariant Dirac equation, also called "Lévy-Leblond equation", for spin-½ particles in a Woods–Saxon potential. We obtain this wave equation with a Galilean covariant approach, which is based on a (4+1)-dimensional manifold with light-cone coordinates followed by a reduction to the (3+1)-dimensional Galilean space-time. We apply the Pekeris approximation and exploit the Nikiforov–Uvarov method to find the energy eigenvalues and eigenfunctions.
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9

ALTIN, Mustafa, Ahmet KAZAN, and Hacı Bayram KARADAĞ. "Hypersurface families with Smarandache curves in Galilean 4-space." Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 70, no. 2 (2021): 744–61. http://dx.doi.org/10.31801/cfsuasmas.794779.

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10

PAVLOTSKY, I. P., and M. STRIANESE. "IRREVERSIBILITY IN CLASSICAL MECHANICS AS A CONSEQUENCE OF POINCARÉ GROUP." International Journal of Modern Physics B 10, no. 21 (1996): 2675–85. http://dx.doi.org/10.1142/s0217979296001185.

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In the post-Galilean approximation of Poincaré Group (i.e. in the approximation in which the corrections of order O (c−2), c denoting the light velocity, to the Galilei group are taken in account) the Lagrangians are singular on a submanifold of the phase space. It is a local singularity, which differs from the ones considered by Dirac. The dynamical properties are essentially peculiar on the studied singular surfaces.1–4 In particular, on some submanifolds of the singular manifold the velocities are not determined uniquely: in each point of the submanifold we get the infinite set of component
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11

Cruz, Maria Eliza. "Commodity Fetishism and the Crisis of Contemporary Art." Mabini Review 11, no. 1 (2022): 21–60. https://doi.org/10.70922/bng4a788.

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This paper centers on the implicit metaphysics beyond the Theory of Relativity and the Principle of Indeterminacy – two revolutionary theories that have changed 20th Century Physics – using the perspective of Husserlian Transcedental Phenomenology. Albert Einstein (1879-1955) and Werner Heisenberg (1901-1976) abolished the theoretical framework of Classical (Galilean-Newtonian) physics that has been complemented, strengthened by Cartesian metaphysics. Rene Descartes (1596-1850) introduced a separation between subject and object (as two different and self- enclosed substances) while Galileo and
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12

Carter, B., and B. Gaffet. "Standard covariant formulation for perfect-fluid dynamics." Journal of Fluid Mechanics 186 (January 1988): 1–24. http://dx.doi.org/10.1017/s0022112088000011.

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After a brief description of the Milne generalization of the Galilean invariance group for the space–time of Newtonian kinematics, it is shown how the generalized Eulerian dynamical equations for the motion of a multiconstituent perfect (nonconducting) fluid can be expressed in terms of interior products of current 4-vectors with exterior derivatives of the appropriate 4-momentum 1-forms (whose role is central in this approach) in a fully covariant standard form whose structure is identical in the Newtonian case to that of the corresponding equation for the case of (special or general) relativ
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13

Lev, Felix M. "Why We Do Not Need Dark Energy to Explain Cosmological Acceleration." AppliedMath 5, no. 2 (2025): 48. https://doi.org/10.3390/appliedmath5020048.

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It has been shown that at the present stage of the evolution of the universe, cosmological acceleration is an inevitable kinematical consequence of quantum theory in semiclassical approximation. Quantum theory does not involve such classical concepts as Minkowski or de Sitter spaces. In classical theory, when choosing Minkowski space, a vacuum catastrophe occurs, while when choosing de Sitter space, the value of the cosmological constant can be arbitrary. On the contrary, in quantum theory, there is no uncertainties in view of the following: (1) the de Sitter algebra is the most general ten-di
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14

BUONANNO, L., M. RENNA, and I. P. PAVLOTSKY. "QUANTUM DENSITY OF PROBABILITY AT THE CLASSICAL PECULIAR POINT." International Journal of Modern Physics B 10, no. 11 (1996): 1285–91. http://dx.doi.org/10.1142/s0217979296000489.

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The so-called no-interaction theorem of D.G. Currie, T.F. Jordan, E.C. Sudarshan, H. Leutwyler, G. Marmo and N. Mukunda makes it possible to construct relativistic quasi-classical particle dynamics in the post-Galilean approximation only.1−4 In this approximation the Lagrangians are singular on some surfaces of the phase space. The dynamical properties are essentially peculiar on the singular surfaces.5−8 In the particular case of the rectilinear motion of two electrons the peculiar point appears when the distance between the particles r=r0, where r0=e2/mc2 (the so-called “radius of an electro
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15

Sobirov, Jasur, and Bekzod Sultanov. "REVOLUTION SURFACES FORMED IN THE GALILEAN MOTION." PHYSICAL AND MATHEMATICAL SCIENCES 4, no. 1 (2020): 53–64. http://dx.doi.org/10.26739/2181-0656-2020-4-7.

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This article highlights the existence of surfaces, relative to the system of curvilinear coordinate, which was introduced by A. Artykbaev. Moreover, the study of revolution surfaces formed in the Galilean motion is provided. In Galileo's space, the differential characteristics of these revolution surfaces are studied, and surfaces with constant curvature and minimal ones are indicated
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16

Lyra, Alexandre, and Marcelo Carvalho. "Unifying the Galilei Relativity and the Special Relativity." ISRN Mathematical Physics 2013 (June 11, 2013): 1–17. http://dx.doi.org/10.1155/2013/156857.

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We present two models combining some aspects of the Galilei and the Special relativities that lead to a unification of both relativities. This unification is founded on a reinterpretation of the absolute time of the Galilei relativity that is considered as a quantity in its own and not as mere reinterpretation of the time of the Special relativity in the limit of low velocity. In the first model, the Galilei relativity plays a prominent role in the sense that the basic kinematical laws of Special relativity, for example, the Lorentz transformation and the velocity law, follow from the correspo
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17

Arakawa, Sota, and Yuhito Shibaike. "Photophoresis in the circumjovian disk and its impact on the orbital configuration of the Galilean satellites." Astronomy & Astrophysics 629 (September 2019): A106. http://dx.doi.org/10.1051/0004-6361/201936202.

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Jupiter has four large regular satellites called the Galilean satellites: Io, Europa, Ganymede, and Callisto. The inner three of the Galilean satellites orbit in a 4:2:1 mean motion resonance; therefore their orbital configuration may originate from the stopping of the migration of Io near the bump in the surface density distribution and following resonant trapping of Europa and Ganymede. The formation mechanism of the bump near the orbit of the innermost satellite, Io, is not yet understood, however. Here, we show that photophoresis in the circumjovian disk could be the cause of the bump usin
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18

ŞAHİN, Tevfik. "Intrinsic equations for a generalized relaxed elastic line on an oriented surface in the galilean space." Acta Mathematica Scientia 33, no. 3 (2013): 701–11. http://dx.doi.org/10.1016/s0252-9602(13)60031-4.

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19

MUKOYAMA, SHINJI, and JEAN-PHILIPPE UZAN. "EMERGENCE OF THE LORENTZIAN STRUCTURE IN CLASSICAL FIELD THEORY." International Journal of Modern Physics D 22, no. 12 (2013): 1342018. http://dx.doi.org/10.1142/s0218271813420182.

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The Lorentzian metric structure allows one to implement the relativistic notion of causality in any field theory and to define a notion of time dimension. We propose that at the microscopic level the metric is Riemannian and that the Lorentzian structure, usually thought as fundamental, is in fact an effective property, that emerges in some regions of a 4-dimensional space with a positive definite metric. We argue that a decent classical field theory for scalars, vectors and spinors in flat spacetime can be constructed, and that gravity can be included under the form of a covariant Galileon th
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20

Zhang, Hong, and Cheng-Zhi Zhang. "TheQValues of the Galilean Satellites and their Tidal Contributions to the Deceleration of Jupiter's Rotation." Chinese Journal of Astronomy and Astrophysics 4, no. 5 (2004): 499–506. http://dx.doi.org/10.1088/1009-9271/4/5/499.

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21

Kiselev, Nikolai, Vera Rosenbush, Karri Muinonen, Ludmilla Kolokolova, Aleksandr Savushkin, and Nikolai Karpov. "New Polarimetric Data for the Galilean Satellites: Europa Observations and Modeling." Planetary Science Journal 3, no. 6 (2022): 134. http://dx.doi.org/10.3847/psj/ac6bef.

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Abstract This paper is dedicated to a long-standing problem of the shape of the negative branch of polarization (NBP) for Jupiter's moon Europa, determination of which is crucial for the characterization of the icy regolith on this satellite and similar objects, as well as for further progress in understanding light scattering by particulate surfaces. To establish the shape of Europa's NBP, in 2018–2021 we accomplished high-precision disk-integrated polarimetry of Europa in the UBVR I bands using the identical two-channel photoelectric polarimeters mounted on the 2.6 m Shajn reflector of the C
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22

Lari, Giacomo, Melaine Saillenfest, and Marco Fenucci. "Long-term evolution of the Galilean satellites: the capture of Callisto into resonance." Astronomy & Astrophysics 639 (July 2020): A40. http://dx.doi.org/10.1051/0004-6361/202037445.

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Context. The Galilean satellites have very complex orbital dynamics due to the mean-motion resonances and the tidal forces acting in the system. The strong dissipation in the couple Jupiter–Io is spread to all the moons involved in the so-called Laplace resonance (Io, Europa, and Ganymede), leading to a migration of their orbits. Aims. We aim to characterize the future behavior of the Galilean satellites over the Solar System lifetime and to quantify the stability of the Laplace resonance. Tidal dissipation permits the satellites to exit from the current resonances or be captured into new ones
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23

Tribbett, Patrick D., and Mark J. Loeffler. "Thermal Reactions between H2S and O3: Implications for Europa Surface Chemistry." Planetary Science Journal 3, no. 10 (2022): 233. http://dx.doi.org/10.3847/psj/ac9236.

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Abstract Here we present a laboratory study demonstrating a low-temperature thermal oxidation reaction within H2O + H2S + O3 solid ice mixtures that produces observable sulfur anion products at temperatures as low as 90 K. This reaction primarily produces SO2, sulfur anions (including HSO 3 − , HSO 4 − , and SO 4 2 − ), and O2 at lower temperatures (90–140 K) and hydrated states of sulfuric acid (H2SO4: nH2O, where n = 0, 1, 4) at higher temperatures (150–250 K). We estimate that the overall activation energy to initiate these reactions is 20 ± 3 kJ mol−1, which is significantly lower than the
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24

Juhász, Máté L. "Revisiting the universal linear algebraic model for the characteristic two case." Studia Scientiarum Mathematicarum Hungarica 56, no. 1 (2019): 81–93. http://dx.doi.org/10.1556/012.2019.56.1.1411.

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Abstract In [3], a universal linear algebraic model was proposed for describing homogeneous conformal geometries, such as the spherical, Euclidean, hyperbolic, Minkowski, anti-de Sitter and Galilei planes ([6]). This formalism was independent from the underlying field, providing an extension and general approach to other fields, such as finite fields. Some steps were taken even for the characteristic 2 case. In this article, we undertake the study of the characteristic 2 case in more detail. In particular, the concept of virtual quadratic spaces is used ([4]), and a similar result is achieved
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25

Ruffio, Jean-Baptiste, Katelyn Horstman, Dimitri Mawet, et al. "Detecting Exomoons from Radial Velocity Measurements of Self-luminous Planets: Application to Observations of HR 7672 B and Future Prospects." Astronomical Journal 165, no. 3 (2023): 113. http://dx.doi.org/10.3847/1538-3881/acb34a.

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Abstract The detection of satellites around extrasolar planets, so called exomoons, remains a largely unexplored territory. In this work, we study the potential of detecting these elusive objects from radial velocity monitoring of self-luminous, directly imaged planets. This technique is now possible thanks to the development of dedicated instruments combining the power of high-resolution spectroscopy and high-contrast imaging. First, we demonstrate a sensitivity to satellites with a mass ratio of 1%–4% at separations similar to the Galilean moons from observations of a brown-dwarf companion (
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26

Idini, Benjamin, and David J. Stevenson. "The Lost Meaning of Jupiter’s High-degree Love Numbers." Planetary Science Journal 3, no. 1 (2022): 11. http://dx.doi.org/10.3847/psj/ac4248.

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Abstract NASA’s Juno mission recently reported Jupiter’s high-degree (degree ℓ, azimuthal order m = 4, 2) Love number k 42 = 1.289 ± 0.063 (1σ), an order of magnitude above the hydrostatic k 42 obtained in a nonrotating Jupiter model. After numerically modeling rotation, the hydrostatic k 42 = 1.743 ± 0.002 is still 7σ away from the observation, raising doubts about our understanding of Jupiter’s tidal response. Here, we use first-order perturbation theory to explain the hydrostatic k 42 result analytically. We use a simple Jupiter equation of state (n = 1 polytrope) to obtain the fractional c
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27

Pérez, Sebastián, Sebastián Marino, Simon Casassus, et al. "Upper limits on protolunar disc masses using ALMA observations of directly imaged exoplanets." Monthly Notices of the Royal Astronomical Society 488, no. 1 (2019): 1005–11. http://dx.doi.org/10.1093/mnras/stz1775.

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ABSTRACT The Solar system gas giants are each surrounded by many moons, with at least 50 prograde satellites thought to have formed from circumplanetary material. Just like the Sun is not the only star surrounded by planets, extrasolar gas giants are likely surrounded by satellite systems. Here, we report on Atacama Large Millimeter/Submillimeter Array (ALMA) observations of four <40 Myr old stars with directly imaged companions: PZ Tel, AB Pic, 51 Eri, and κ And. Continuum emission at 1.3 mm is undetected for any of the systems. Since these are directly imaged companions, there is knowledg
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28

Basheer, Maamoun, Elias Saad, Majd Kananeh, et al. "Cytokine Patterns in COVID-19 Patients: Which Cytokines Predict Mortality and Which Protect Against?" Current Issues in Molecular Biology 44, no. 10 (2022): 4735–47. http://dx.doi.org/10.3390/cimb44100323.

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(1) Background/Aim: People infected with SARS-CoV-2 may develop COVID-19 in a wide range of clinical severity. Pulmonary fibrosis is characterized by several grades of chronic inflammation and collagen deposition in the interalveolar space. SARS-CoV-2 infection has been demonstrated to cause lung fibrosis without a currently elucidated mechanism. Some studies emphasize the role of proinflammatory cytokines. This research studies the correlation of the released cytokines with mortality or lung injury in COVID-19 patients. (2) Methods: Electronic medical record data from 40 patients diagnosed wi
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29

Elsharkawy, Ayman, and Noha Elsharkawy. "Quasi-position vector curves in Galilean 4-space." Frontiers in Physics 12 (July 24, 2024). http://dx.doi.org/10.3389/fphy.2024.1400730.

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The Frenet frame is not suitable for describing the behavior of the curve in the Galilean space since it is not defined everywhere. In this study, an alternative frame, the so-called quasi-frame, is investigated in Galilean 4-space. Furthermore, the quasi-formulas in Galilean 4-space are deduced and quasi-curvatures are obtained in terms of the quasi-frame and its derivatives. Quasi-rectifying, quasi-normal, and quasi-osculating curves are studied in Galilean 4-space. We prove that there is no quasi-normal and accordingly normal curve in Galilean 4-space.
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30

Elzawy, M., and S. Mosa. "Smarandache curves in the Galilean 4-space G 4." April 8, 2016. https://doi.org/10.5281/zenodo.233993.

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31

Mosa, Safaa, Mohamed El-Fakharany, and Mervat Elzawy. "Normal Curves in 4-Dimensional Galilean Space G4." Frontiers in Physics 9 (June 24, 2021). http://dx.doi.org/10.3389/fphy.2021.660241.

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In this article, first, we give the definition of normal curves in 4-dimensional Galilean space G4. Second, we state the necessary condition for a curve of curvatures τ(s) and σ(s) to be a normal curve in 4-dimensional Galilean space G4. Finally, we give some characterizations of normal curves with constant curvatures in G4.
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32

M., Elzawy, and Mosa S. "Smarandache curves in the Galilean 4-space G 4." April 28, 2016. https://doi.org/10.5281/zenodo.835462.

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In this paper, we study Smarandache curves in the 4-dimensional Galilean space G 4 . We obtain Frenet- Serret invariants for the Smarandache curve in G 4 . The first, second and third curvature of Smarandache curve are calculated. These values depending upon the first, second and third curvature of the given curve. Examples will be illustrated.
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33

Gün Bozok, Hülya, Sezin Aykurt Sepet, and Mahmut Ergüt. "Motions of Curves in 4-Dimensional Galilean Space G4." Asian-European Journal of Mathematics, January 7, 2021, 2150153. http://dx.doi.org/10.1142/s1793557121501539.

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In this paper, we investigate the flow of curve and its equiform geometry in 4-dimensional Galilean space. We obtain that the Frenet equations and curvatures of inextensible flows of curves and its equiformly invariant vector fields and intrinsic quantities are independent of time. We find that the motions of curves and its equiform geometry can be defined by the inviscid and stochastic Burgers’ equations in 4-dimensional Galilean space.
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34

M., Elzawy, and Mosa S. "Smarandache curves in the Galilean 4-space G 4." May 19, 2019. https://doi.org/10.5281/zenodo.2990158.

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In this paper, we study Smarandache curves in the 4-dimensional Galilean space G 4 . We obtain Frenet- Serret invariants for the Smarandache curve in G 4 . The first, second and third curvature of Smarandache curve are calculated. These values depending upon the first, second and third curvature of the given curve. Examples will be illustrated.
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35

Yoon, D. W., J. W. Lee, and C. W. Lee. "OSCULATING CURVES IN THE GALILEAN 4-SPACE." International Journal of Pure and Apllied Mathematics 100, no. 4 (2015). http://dx.doi.org/10.12732/ijpam.v100i4.9.

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36

Almaz, Fatma, and Mi̇hri̇ban Alyamaç Külahcı. "The notes on rotational surfaces in Galilean space." International Journal of Geometric Methods in Modern Physics, November 27, 2020, 2150017. http://dx.doi.org/10.1142/s0219887821500171.

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In this study, we provide a brief description of rotational surfaces in 4-dimensional (4D) Galilean space using a curve and matrices in [Formula: see text]. That is, we provide different types of rotational matrices, which are the subgroups of [Formula: see text] by rotating a selected axis in [Formula: see text]. Hence, we choose two parameter matrices groups of rotations and we give the matrices of rotation corresponding to the appropriate subgroup in Galilean 4-space and we generate rotated surfaces.
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37

Bagchi, Arjun, Rudranil Basu, Minhajul Islam, Kedar S. Kolekar, and Aditya Mehra. "Galilean gauge theories from null reductions." Journal of High Energy Physics 2022, no. 4 (2022). http://dx.doi.org/10.1007/jhep04(2022)176.

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Abstract The procedure of null reduction provides a concrete way of constructing field theories with Galilean invariance. We use this to examine Galilean gauge theories, viz. Galilean electrodynamics and Yang-Mills theories in spacetime dimensions 3 and 4. Different non-relativistic conformal symmetries arise in these contexts: Schrödinger symmetry in d = 3 and Galilean conformal symmetry in d = 4. A canonical analysis further reveals that the symmetries enhance to their infinite dimensional versions in phase space and pick up central extensions. In addition, for the Abelian theory, we discuss
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38

Thiandoum, Adama. "Curves of constant breadth in Galilean 4-space $$\mathbb {G}_4$$." Afrika Matematika 36, no. 2 (2025). https://doi.org/10.1007/s13370-025-01296-8.

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39

Wu, Liang, and Youjun Tan. "Faithful representations of the Galilean Lie algebra in two spatial dimensions." Georgian Mathematical Journal, May 3, 2023. http://dx.doi.org/10.1515/gmj-2023-2019.

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Abstract Let 𝔊 {\mathfrak{G}} be the Galilean Lie algebra in 2+1 space-times. It is known that there is no faithful representation of 𝔊 {\mathfrak{G}} given by derivations with homogeneous coefficients of degree 1 on the polynomial ring ℝ ⁢ [ x 1 , … , x n ] {\mathbb{R}[x_{1},\dots,x_{n}]} for n ≤ 3 {n\leq 3} . In this paper, we consider such representations of 𝔊 {\mathfrak{G}} for n = 4 {n=4} . By classifying all collections of Galilean matrices of order 4 up to conjugation, which yields a complete classification of faithful 𝔊 {\mathfrak{G}} -modules of dimension 4, we show that all such fait
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40

Magnanini, Andrea. "Estimation of the Ephemerides and Gravity Fields of the Galilean Moons Through Orbit Determination of the JUICE Mission." Aerotecnica Missili & Spazio, September 7, 2021. http://dx.doi.org/10.1007/s42496-021-00090-6.

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AbstractJupiter and its moons are a complex dynamical system that include several phenomena like tides interactions, moon’s librations and resonances. One of the most interesting characteristics of the Jovian system is the presence of the Laplace resonance, where the orbital periods of Ganymede, Europa and Io maintain a 4:2:1 ratio, respectively. It is interesting to study the role of the Laplace resonance in the dynamic of the system, especially regarding the dissipative nature of the tidal interaction between Jupiter and its closest moon, Io. The secular orbital evolution of the Galilean sat
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41

Łebek, Maciej, and Miłosz Panfil. "Chapman-Enskog theory and crossover between diffusion and superdiffusion for nearly integrable quantum gases." SciPost Physics 18, no. 6 (2025). https://doi.org/10.21468/scipostphys.18.6.186.

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Integrable systems feature an infinite number of conserved charges and on hydrodynamic scales are described by generalised hydrodynamics (GHD). This description breaks down when the integrability is weakly broken and sufficiently large space-time-scales are probed. The emergent hydrodynamics depends then on the charges conserved by the perturbation. We focus on nearly-integrable Galilean-invariant systems with conserved particle number, momentum and energy. Basing on the Boltzmann approach to integrability-breaking we describe dynamics of the system with GHD equation supplemented with a collis
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42

Lari, Giacomo, and Melaine Saillenfest. "The nature of the Laplace resonance between the Galilean moons." Celestial Mechanics and Dynamical Astronomy 136, no. 3 (2024). http://dx.doi.org/10.1007/s10569-024-10191-6.

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AbstractThe Laplace resonance is a mean-motion resonance that involves the three inner Galilean moons of Jupiter. However, its true nature is in part unclear; in particular, different views can be found in the literature on whether the Laplace resonance is a pure three-body resonance or a mere superposition of two-body resonances. To settle this question, we conduct a thorough analysis of the many resonances involved, starting from the two-body 2:1 commensurabilities of the couples Io–Europa and Europa–Ganymede, and ending with the three-body 4:2:1 commensurability between the three moons. By
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Hodge, John. "Comment: A Solution to the Pioneer Anomalous Annual and Diurnal Residuals by E. D. Greaves, et al., 2021 Progress in Physics, vol. 17, 2, p. 168." Intellectual Archive 12, no. 2 (2023). http://dx.doi.org/10.32370/ia_2023_06_3.

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A comparison is made between Greaves, E. D., Bracho, C., Gift, S., and Rodrigues, A. N., 2021. A Solution to the Pioneer Anomalous Annual and Diurnal Residuals, Progress in Physics, vol. 17, 2, p. 168. and Hodge, J. C. 2006. Scalar potential model of the Pioneer Anomaly.arXiv: astro-ph/0612567v1. Both papers suggest the Pioneer Anomaly obser- vation is due to the signal being modified by a characteristic of space that is influenced by the Sun and Earth. The papers differ by what that characteristic is and how it influences the signal. The former paper uses “energy density” (a scalar) which is
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Klein, Ulf. "Quantizing Galilean spacetime: a reconstruction of Maxwell’s equations in empty space." Quantum Studies: Mathematics and Foundations, August 16, 2024. http://dx.doi.org/10.1007/s40509-024-00345-4.

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AbstractAs was recently shown, non-relativistic quantum theory can be derived by means of a projection method from a continuum of classical solutions for (massive) particles. In this paper, we show that Maxwell’s equations in empty space can be derived using the same method. In this case, the starting point is a continuum of solutions of equations of motion for massless particles describing the structure of Galilean space-time. As a result of the projection, the space-time structure itself is changed by the appearance of a new fundamental constant c with the dimension of a velocity. This maxim
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Lari, Giacomo. "A semi-analytical model of the Galilean satellites’ dynamics." Celestial Mechanics and Dynamical Astronomy 130, no. 8 (2018). http://dx.doi.org/10.1007/s10569-018-9846-4.

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Strazzulla, G., M. E. Palumbo, P. Boduch, and H. Rothard. "Ion Implantation and Chemical Cycles in the Icy Galilean Satellites." Earth, Moon, and Planets 127, no. 1 (2023). http://dx.doi.org/10.1007/s11038-023-09550-4.

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AbstractAn essential requisite for the appearance and permanence of life on Earth is the onset of a continuous “cycling” of some key atoms and molecules. Cycling of elements probably also occurs on other objects and is driven by biological or a-biological processing. Here we investigate the cycling of some species in the icy Galilean satellites that are exposed to the intense fluxes of energetic particles coming from the Jupiter magnetosphere. Among the most studied effects of particle bombardment, there is the production of molecules not originally present in the sample. These newly synthesiz
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Neyrey, Jerome H. "Spaced out: “Territoriality” in the Fourth Gospel." HTS Teologiese Studies / Theological Studies 58, no. 2 (2002). http://dx.doi.org/10.4102/hts.v58i2.568.

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The Fourth Gospel is inordinately involved with places and spaces, valuing some, but dis-valuing others. The task of interpreting all such references is greatly aided by the use of the anthropological model of "territoriality” which shows how all peoples 1) classify space, 2) communicate this and 3) control access to or exit from this territory. The classifications might be: public-private, sacred/profane, honorable/shameful, clean/unclean, fixed/fluid, center/periphery and the like. Where appropriate, these classifications are used to interpret the Johannine data on spaces and places, particu
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Lari, Giacomo, Melaine Saillenfest, and Clara Grassi. "Dynamical history of the Galilean satellites for a fast migration of Callisto." Monthly Notices of the Royal Astronomical Society, November 12, 2022. http://dx.doi.org/10.1093/mnras/stac3299.

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Abstract The dynamics of the innermost Galilean satellites (Io, Europa and Ganymede) is characterised by a chain of mean motion resonances, called Laplace resonance, and by a strong tidal dissipation that causes wide variations of their semi-major axes over large timescales. The precise history of energy dissipation in the Jovian system is not known, but several theories have been proposed. Tidal resonance locking states that big outer moons can also migrate fast. If this is the case for Callisto, then it should have crossed the 2:1 mean motion resonance with Ganymede in the past, affecting th
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Steigenberger, P., and O. Montenbruck. "Consistency of Galileo satellite antenna phase center offsets." Journal of Geodesy 97, no. 6 (2023). http://dx.doi.org/10.1007/s00190-023-01750-0.

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AbstractInformation about satellite antenna phase center offsets (PCOs) is indispensable for high-precision applications of global navigation satellite systems. Pre-flight manufacturer calibrations of the PCOs are available for all individual Galileo satellites and each frequency. So far, geodetic usage of Galileo is focused on the ionosphere-free linear combination of the E1 and E5a signals. In view of the growing number of E5b- and E6-capable receivers and upcoming multi-frequency applications, the consistency of the PCO values for different frequencies becomes a topic of increasing importan
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Edison, Alex, James Mangan, and Nicolas H. Pavao. "Revealing the landscape of globally color-dual multi-loop integrands." Journal of High Energy Physics 2024, no. 3 (2024). http://dx.doi.org/10.1007/jhep03(2024)163.

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Abstract We report on progress in understanding how to construct color-dual multi-loop amplitudes. First we identify a cubic theory, semi-abelian Yang-Mills, that unifies many of the color-dual theories studied in the literature, and provides a prescriptive approach for constructing D-dimensional color-dual numerators through one-loop directly from Feynman rules. By a simple weight counting argument, this approach does not further generalize to two-loops. As a first step in understanding the two-loop challenge, we use a D-dimensional color-dual bootstrap to successfully construct globally colo
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