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Journal articles on the topic 'Newton Mechanics'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Szebehely, Victor. "Celestial mechanics since Newton." Vistas in Astronomy 30 (January 1987): 313–18. http://dx.doi.org/10.1016/0083-6656(87)90008-0.

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2

Sang Chung, W., and H. Hassanabadi. "The Wigner-Dunkl-Newton mechanics with time-reversal symmetry." Revista Mexicana de Física 66, no. 3 May-Jun (2020): 308. http://dx.doi.org/10.31349/revmexfis.66.308.

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In this paper we use the Dunkl derivative with respect to time to construct theWigner-Dunkl-Newton mechanics with time-reversal symmetry. We deflne the WignerDunkl-Newton velocity and Wigner-Dunkl-Newton acceleration and construct the WignerDunkl-Newton equation of motion. We also discuss the Hamiltonian formalism in theWigner-Dunkl-Newton mechanics. We discuss some deformed elementary functions suchas the ”-deformed exponential functions, ”-deformed hyperbolic functions and ”-deformedtrigonometric functions. Using these we solve some problems in on dimensional WignerDunkl-Newton mechanics mec

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3

Bhattacharya, Dipankar. "The celestial mechanics of Newton." Resonance 11, no. 12 (2006): 35–44. http://dx.doi.org/10.1007/bf02903082.

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4

TIAN, YU. "SOME PECULIARITIES OF NEWTON–HOOKE SPACETIMES." International Journal of Modern Physics D 20, no. 11 (2011): 2223–38. http://dx.doi.org/10.1142/s0218271811019761.

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Newton–Hooke spacetimes are the nonrelativistic limit of (anti-)de Sitter spacetimes. We investigate some peculiar facts about the Newton–Hooke spacetimes, among which the "extraordinary Newton–Hooke quantum mechanics" and the "anomalous Newton–Hooke spacetimes" are discussed in detail. Analysis on the Lagrangian/action formalism is performed in the discussion of the Newton–Hooke quantum mechanics, where the path integral point of view plays an important role, and the physically measurable density of probability is clarified.

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5

Lamb, Willis E. "Suppose Newton had invented wave mechanics." American Journal of Physics 62, no. 3 (1994): 201–6. http://dx.doi.org/10.1119/1.17597.

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6

Galajinsky, Anton. "Conformal mechanics in Newton–Hooke spacetime." Nuclear Physics B 832, no. 3 (2010): 586–604. http://dx.doi.org/10.1016/j.nuclphysb.2010.02.023.

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7

Malek, Abdul. "KEPLER – NEWTON – LEIBNIZ – HEGEL." JOURNAL OF ADVANCES IN PHYSICS 19 (September 15, 2021): 221–23. http://dx.doi.org/10.24297/jap.v19i.9106.

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Kepler’s Laws of planetary motion (following the Copernican revolution in cosmology), according to Leibniz and his follower Hegel, for the first-time in history discovered the keys to what Hegel called the absolute mechanics mediated by dialectical laws, which drives the celestial bodies, in opposition to finite mechanics in terrestrial Nature developed by mathematical and empirical sciences, but that are of very limited scope. Newton wrongly extended and imposed finite mechanics on the absolute mechanics of the cosmic bodies in the form of his Law of one-sided Universal Gravitational Attracti

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8

Rahil, Zainab, Sara Pedron, Xuefeng Wang, TaekJip Ha, Brendan Harley, and Deborah Leckband. "Nanoscale mechanics guides cellular decision making." Integrative Biology 8, no. 9 (2016): 929–35. http://dx.doi.org/10.1039/c6ib00113k.

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9

Szebehely, Victor. "Sir Isaac Newton and modern celestial mechanics." Bulletin de la Classe des sciences 72, no. 1 (1986): 220–28. http://dx.doi.org/10.3406/barb.1986.57587.

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10

Tardieu, N., and E. Cheignon. "A Newton–Krylov method for solid mechanics." European Journal of Computational Mechanics 21, no. 3-6 (2012): 374–84. http://dx.doi.org/10.1080/17797179.2012.721501.

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11

Chung, Won Sang. "Fractional Newton mechanics with conformable fractional derivative." Journal of Computational and Applied Mathematics 290 (December 2015): 150–58. http://dx.doi.org/10.1016/j.cam.2015.04.049.

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12

Linge, Svein, Glenn Lines, and Joakim Sundnes. "Solving the heart mechanics equations with Newton and quasi Newton methods–a comparison." Computer Methods in Biomechanics and Biomedical Engineering 8, no. 1 (2005): 31–38. http://dx.doi.org/10.1080/10255840500131982.

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13

Smith, Russell. "Light Path." Journal of Early Modern Studies 8, no. 2 (2019): 43–79. http://dx.doi.org/10.5840/jems20198212.

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This paper focuses on the mathematisation of mechanics in the seventeenth century, specifically on how the representation of compounded rectilinear motions presented in the ancient Greek Mechanica found its way into Newton’s Principia almost two thousand years later. I aim to show that the path from the former to the latter was optical: the conceptualisation of geometrical lines as paths of reflection created a physical interpretation of diagrammatic principles of geometrical point-motion, involving the kinematics and dynamics of light reflection. Upon the atomistic conception of light, the o

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14

Barnafi, Nicolás A., Luca F. Pavarino, and Simone Scacchi. "Parallel inexact Newton–Krylov and quasi-Newton solvers for nonlinear elasticity." Computer Methods in Applied Mechanics and Engineering 400 (October 2022): 115557. http://dx.doi.org/10.1016/j.cma.2022.115557.

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15

Maronne, Sébastien, and Marco Panza. "Euler, Reader of Newton: Mechanics and Algebraic Analysis." Advances in Historical Studies 03, no. 01 (2014): 12–21. http://dx.doi.org/10.4236/ahs.2014.31003.

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16

Pavarino, L. F., S. Scacchi, and S. Zampini. "Newton–Krylov-BDDC solvers for nonlinear cardiac mechanics." Computer Methods in Applied Mechanics and Engineering 295 (October 2015): 562–80. http://dx.doi.org/10.1016/j.cma.2015.07.009.

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17

Hall, G. S., and Barry M. Haddow. "Geometrical aspects and generalizations of Newton-Cartan mechanics." International Journal of Theoretical Physics 34, no. 7 (1995): 1093–112. http://dx.doi.org/10.1007/bf00671369.

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18

Коськов, С. Н. "MECHANICS OF ISAAC NEWTON AND ITS CONVENTIONAL CONSTRUCTION." Вестник Тверского государственного университета. Серия: Философия, no. 2(64) (August 25, 2023): 15–25. http://dx.doi.org/10.26456/vtphilos/2023.2.015.

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Свою механику Исаак Ньютон строил по образцу и подобию геометрии Евклида. Эта геометрия многие века, вплоть до сегодняшних дней, является образцом эталонной научной теории по причине дедуктивно-аксиоматического тематического построения. Целью данной статьи является показать попытку Ньютона представить свою механику как дедуктивно-аксиоматическую теорию, поэтому все его основные понятия носят характер идеализированных объектов. Тем самым выстраивается идеализиро-ванная онтология механики, которую невозможно опровергнуть. Isaac Newton built his mechanics on the model and likeness of Euclid's geo

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19

Anwar, Wali Gutti. "Gravity a Viscoelastic Mechanics of the Universe." Journal of Recent Trends in Mechanics 4, no. 3 (2019): 1–4. https://doi.org/10.5281/zenodo.3524139.

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This paper mathematically proves that gravity is a viscoelastic property. From the Newton’s law of gravitation, a viscoelastic equation is been derived which is similar to one obtained from the Newton’s law of viscosity. From the viscosity equation, the present strain rate of the universe is calculated, and at the same time the Hubbles constant for the expansion of universe is converted into an equation of strain rate and both the values are compared. The value obtained from the viscosity equation is in agreement with the Hubble’s constant. Also, the equations derive are base

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20

Kerno, Steven J. "Coached by Newton." Mechanical Engineering 131, no. 04 (2009): 34–38. http://dx.doi.org/10.1115/1.2009-apr-4.

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This article highlights the best results yielded by applying the laws of motion on a record-setting pitcher. Newton’s three laws of motion, as first articulated in Philosophiae Naturalis Principia Mathematica (1687), form the basis for classical Newtonian mechanics and provide the relationships between forces acting on a body and the consequent motion of the body. These laws govern the relationships of objects present in our physical universe, including the human body. According to Marshall, pitchers of all ages would be very well served by learning and applying the three laws of motion correc

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21

Ye, Xi. "Navigating the Cosmos: The Evolution and Impact of Newtonian Mechanics." Theoretical and Natural Science 87, no. 1 (2025): 26–35. https://doi.org/10.54254/2753-8818/2025.20320.

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Mechanics is one of the most fundamental subfields of physics. Founded primarily by Isaac Newton, mechanics has strong relations with astronomy, one of the oldest sciences. It has astronomical origins and exhibits significant applications in astronomical problems. A historical perspective is necessary to grasp the big picture of physics, so this paper traces back to the very beginning of classical mechanics to discover its development through the literature review method. Starting from Keplers planetary motion laws and Newtons theories, then moving to two-body and three-body problems, this ess

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22

Wang, Yan, and Qian Wang. "On zero-dimensional ocean dynamics." Thermal Science 24, no. 4 (2020): 2325–29. http://dx.doi.org/10.2298/tsci2004325w.

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How to study the effect of the Sun or the Moon?s gravity on ocean motion? Of course, Newton?s gravity should be considered. However, Newton?s law considers the Earth as a 0-D point, the ocean motion inside of a 0-D point of the Earth is negative 3-D, and Newton?s law becomes invalid in a negative space. In order to solve the problem, we divide the Earth into two parts, one part is the studied ocean, the other is the left Earth without the ocean. A mechanics model can be then established for the 0-D ocean dynamics.

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23

Lopes Coelho, Ricardo. "Manuais e História da Ciência: a segunda lei de Newton." História da Ciência e Ensino: construindo interfaces 20 (December 29, 2019): 536–49. http://dx.doi.org/10.23925/2178-2911.2019v20espp536-549.

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Resumo Aprendemos no liceu e na universidade que a segunda lei de Newton é F=ma. Porém, Newton nunca escreveu a equação. Além disso, não há acordo entre os historiadores da ciência em relação à equação que expressa a segunda lei de Newton. Físicos do séc. XVIII, que citaram e explicaram as leis de Newton, não usaram F=ma. Portanto, se a tese dos manuais contemporâneos fosse correta, teríamos de admitir que todos aqueles físicos interpretaram mal a segunda lei de Newton. Por outro lado, Euler defendeu ter descoberto um novo princípio de mecânica, que é F = ma. Comparando a

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24

Hollings, Christopher D. "R. S. Ball's Mechanics: bringing Newton to the masses?" Mathematical Gazette 101, no. 551 (2017): 280–88. http://dx.doi.org/10.1017/mag.2017.68.

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In 1879, the Irish astronomer Robert Stawell Ball published a slim book entitled simply Mechanics [1]. This book appeared as part of the series of ‘London Science Class-Books’, published by Longmans, Green & Co. These books were intended as elementary science texts for use in schools, and, as a consequence, their mathematical content was quite basic — even for those books on supposedly mathematical topics. In this article, I will look at Ball's handling of his subject, and compare his book to its distant ancestor: Newton's Principia.

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25

Hojman, R., and S. Hojman. "An attempt to construct quantum mechanics from Newton equations." Il Nuovo Cimento B Series 11 90, no. 2 (1985): 143–60. http://dx.doi.org/10.1007/bf02722902.

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26

Mak, Man Kwong, Chun Sing Leung, and Tiberiu Harko. "The effects of the dark energy on the static Schrödinger–Newton system — An Adomian Decomposition Method and Padé approximants based approach." Modern Physics Letters A 36, no. 06 (2021): 2150038. http://dx.doi.org/10.1142/s0217732321500383.

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The Schrödinger–Newton system is a nonlinear system obtained by coupling together the linear Schrödinger equation of quantum mechanics with the Poisson equation of Newtonian mechanics. In this work, we will investigate the effects of a cosmological constant (dark energy or vacuum fluctuation) on the Schrödinger–Newton system, by modifying the Poisson equation through the addition of a new term. The corresponding Schrödinger–Newton-[Formula: see text] system cannot be solved exactly, and therefore for its study one must resort to either numerical or semianalytical methods. In order to obtain a

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27

Hwang, Yunn-Lin, and Van-Thuan Truong. "Dynamic Analysis and Control of Multi-Body Manufacturing Systems Based on Newton–Euler Formulation." International Journal of Computational Methods 12, no. 02 (2015): 1550007. http://dx.doi.org/10.1142/s0219876215500073.

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This paper presents the numerical dynamic analysis and control of multi-body manufacturing systems based on Newton–Euler formulation. The models of systems built with dynamical parameters are executed. The research uses Newton–Euler formulation application in mechanics calculations, where relations between contiguous bodies through joints as well as their constrained equations are considered. The kinematics and dynamics are both analyzed and acquired by practical applications. Numerical tools help to determine all dynamic characteristics of multi-body manufacturing systems such as displacement

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28

Levin, Vladimir. "Mechanics of nature." Priroda, no. 3(1315) (2025): 3. https://doi.org/10.7868/s0032874x25030041.

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The experimental achievements of the 21st century provide a real opportunity to consider the application of classical mechanics in the study of natural processes. They occur on significantly different scales (from the typical nuclear scales of the order of 10-15 m to the galactic scales. At the same time, the methodology of mechanics based on the ideas of Newton-Euler-Lomonosov-Coulomb makes it possible to formulate a unified theory of electromagnetic, gravitational, strong and weak interactions outside the paradoxes of modern theoretical physics. This unified theory is based on the laws of co

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29

ZHANG, YU-FENG, and EN-GUI FAN. "SUBALGEBRAS OF THE LIE ALGEBRA R6 AND THEIR APPLICATIONS." International Journal of Modern Physics B 21, no. 22 (2007): 3809–24. http://dx.doi.org/10.1142/s0217979207037727.

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As we all know, the Hamiltonian systems are the same describing forms as Newton mechanics and Lagrange mechanics. Therefore, researching for a new Hamiltonian structure of the soliton equations has important significance. In the paper, firstly, with the help of the Lie algebra R6, a few types of subalgebras are constructed, from which the corresponding equivalent tensor systems are given. For their applications, two integrable couplings hierarchies along with the multi-potential component functions generated from the soliton theory and the Virasoro symmetric algebra are obtained. Secondly, the

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30

Lasukov, Vladimir. "The Newton primordial atom in superspace-time." International Journal of Geometric Methods in Modern Physics 13, no. 02 (2016): 1650020. http://dx.doi.org/10.1142/s0219887816500201.

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Quantum solution of differential equations of classical mechanics is found. This solution describes test particle motion in an external gravitational field with the variable passive mass. Theoretical prediction of quintesphere existence in the universe is made.

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31

Canero, Armando Tomas. "Newton &-vs Lorentz." JOURNAL OF ADVANCES IN PHYSICS 14, no. 3 (2018): 5869–72. http://dx.doi.org/10.24297/jap.v14i3.7796.

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Is there a point of divergence between Classical Mechanics and Electromagnetism? This discrepancy is raised by many authors and arises between Newton's third law and the equation of Lorentz forces. Due to the transcendence of these expressions, their wide application in different situations is not a minor issue and should be given a consistent interpretation with both theories. The discrepancy mentioned is based in that: according to the calculations of classical field theory, a particle with an electric charge moving immersed in a magnetic field suffers an action that diverts its trajectory,

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32

Whittlesey, Saunders N., and Joseph Hamill. "An Alternative Model of the Lower Extremity during Locomotion." Journal of Applied Biomechanics 12, no. 2 (1996): 269–79. http://dx.doi.org/10.1123/jab.12.2.269.

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An alternative to the Iterative Newton-Euler or linked segment model was developed to compute lower extremity joint moments using the mechanics of the double pendulum. The double pendulum model equations were applied to both the swing and stance phases of locomotion. Both the Iterative Newton-Euler and double pendulum models computed virtually identical joint moment data over the entire stride cycle. The double pendulum equations, however, also included terms for other mechanical factors acting on limb segments, namely hip acceleration and segment angular velocities and accelerations Thus, the

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33

Wang, Dongming. "A Method for Proving Theorems in Differential Geometry and Mechanics." JUCS - Journal of Universal Computer Science 1, no. (9) (1995): 658–73. https://doi.org/10.3217/jucs-001-09-0658.

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A zero decomposition algorithm is presented and used to devise a method for proving theorems automatically in differential geometry and mechanics. The method has been implemented and its practical efficiency is demonstrated by several non-trivial examples including Bertrand s theorem, Schell s theorem and Kepler-Newton s laws.

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34

Li, Zhehan. "The Significance of Classical Mechanics in the Evolution of Space Exploration." Theoretical and Natural Science 92, no. 1 (2025): 194–98. https://doi.org/10.54254/2753-8818/2025.22291.

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Classical mechanics, developed by Isaac Newton in the 17th century, revolutionized our understanding of motion and gravity. During the Scientific Revolution, Newtons laws of motion and universal gravitation provided a framework to explain celestial and terrestrial phenomena. This knowledge became the foundation for modern physics and engineering. In the 20th century, as the space race began, classical mechanics played a critical role in space exploration. It enabled scientists to calculate rocket trajectories, predict planetary orbits, and design spacecraft. For instance, NASAs Apollo missions

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35

Pourciau, Bruce. "Reading the Master: Newton and the Birth of Celestial Mechanics." American Mathematical Monthly 104, no. 1 (1997): 1. http://dx.doi.org/10.2307/2974818.

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36

Galajinsky, Anton. "N=2 superconformal Newton–Hooke algebra and many-body mechanics." Physics Letters B 680, no. 5 (2009): 510–15. http://dx.doi.org/10.1016/j.physletb.2009.09.037.

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37

Pourciau, Bruce. "Reading the Master: Newton and the Birth of Celestial Mechanics." American Mathematical Monthly 104, no. 1 (1997): 1–19. http://dx.doi.org/10.1080/00029890.1997.11990591.

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38

Harko, Tiberiu, Matthew J. Lake, and Man Kwong Mak. "Series Solution of the Time-Dependent Schrödinger–Newton Equations in the Presence of Dark Energy via the Adomian Decomposition Method." Symmetry 15, no. 2 (2023): 372. http://dx.doi.org/10.3390/sym15020372.

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The Schrödinger–Newton model is a nonlinear system obtained by coupling the linear Schrödinger equation of canonical quantum mechanics with the Poisson equation of Newtonian mechanics. In this paper, we investigate the effects of dark energy on the time-dependent Schrödinger–Newton equations by including a new source term with energy density proportional to the cosmological constant Λ, in addition to the particle-mass source term. The resulting Schrödinger–Newton–Λ (S-N-Λ) system cannot be solved exactly, in closed form, and one must resort to either numerical or semianalytical (i.e., series)

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39

Marquina, José E. "Euler y la Mecánica." Revista Mexicana de Física E 65, no. 1 (2019): 77. http://dx.doi.org/10.31349/revmexfise.65.77.

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En este trabajo se presentan las principales aportaciones de Leonhard Euler a la mecánica, que van desde la invaluable transcripción de la mecánica newtoniana al lenguaje del cálculo diferencial e integral, hasta su peculiar interpretación, en términos de la impenetrabilidad, de la Tercera Ley de Newton, pasando por su profunda valoración del concepto de inercia y su aportación relativa a plantear la Segunda Ley de Newton en coordenadas cartesianas. In this work it is presented the Leonhard Euler more important contributions to mechanics, from the invaluable transcriptions of the newtonian mec

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40

Jadczyk, Arkadiusz. "What is time in quantum mechanics?" International Journal of Geometric Methods in Modern Physics 11, no. 07 (2014): 1460019. http://dx.doi.org/10.1142/s0219887814600196.

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Time of arrival in quantum mechanics is discussed in two versions: the classical axiomatic "time of arrival operator" introduced by Kijowski and the event enhanced quantum theory (EEQT) method. It is suggested that for free particles the two methods may lead to the same result. On the other hand, the EEQT method can be easily geometrized within the framework of Galilei–Newton general relativistic quantum mechanics developed by M. Modugno and collaborators, and it can be applied to non-free evolutions. The way of geometrization of irreversible quantum dynamics based on dissipative Liouville equ

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41

Papadrakakis, Manolis, and Victor Balopoulos. "Improved Quasi‐Newton Methods for Large Nonlinear Problems." Journal of Engineering Mechanics 117, no. 6 (1991): 1201–19. http://dx.doi.org/10.1061/(asce)0733-9399(1991)117:6(1201).

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42

CHOQUET, RÉMI, and JOCELYNE ERHEL. "NEWTON-GMRES ALGORITHM APPLIED TO COMPRESSIBLE FLOWS." International Journal for Numerical Methods in Fluids 23, no. 2 (1996): 177–90. http://dx.doi.org/10.1002/(sici)1097-0363(19960730)23:2<177::aid-fld418>3.0.co;2-n.

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43

Hadji, Sofiane, and Gouri Dhatt. "Asymptotic-Newton method for solving incompressible flows." International Journal for Numerical Methods in Fluids 25, no. 8 (1997): 861–78. http://dx.doi.org/10.1002/(sici)1097-0363(19971030)25:8<861::aid-fld589>3.0.co;2-o.

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44

Hurley, D. J., and M. A. Vandyck. "A formulation of Newton–Cartan gravity and quantum mechanics using D-differentiation." International Journal of Geometric Methods in Modern Physics 16, no. 04 (2019): 1950057. http://dx.doi.org/10.1142/s0219887819500579.

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The Newton–Cartan theory of gravity is expressed in the language of [Formula: see text]-differentiation. A characteristic of this approach is that the same framework accommodates, together with classical gravity, also non-relativistic Quantum Mechanics (coupled to gravity), both in its standard Schrödingerian form and in that of de Broglie and Bohm.

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45

Arciosa, Ramil M. "Understanding Classical Mechanics in Early Filipino Culture." International Journal of Science and Research 10, no. 11 (2021): 189–94. https://doi.org/10.5281/zenodo.5746498.

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This ethnography research focuses on the connection between the indigenousknowledge of Manuvu Erumanen of Cotabato Province, particularly in their craftswith the concepts of classical mechanics, a branch of Physical science. Throughin-depth investigation, the author found out that these Indigenous Peoples(IP) livemostly in Central Mindanao and are descendants of Mamanwa's(Dillo,2021). Theyvibrate their indigenous heritage-bamboos weaving crafts. There is a strongconnectivity between the concepts of classical mechanics, particularly in volumeand Newton’s law of mechanics, and their in

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46

Mazilu, Nicolae, and Cristina-Marcela Rusu. "From Classical Newtonian Phylosophy to Skyrmion – A Short History." BULETINUL INSTITUTULUI POLITEHNIC DIN IAȘI. Secția Matematica. Mecanică Teoretică. Fizică 67, no. 2 (2021): 57–68. http://dx.doi.org/10.2478/bipmf-2021-0010.

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Abstract This paper presents a short history from Philosophiae Naturalis Principia Matematica of Newton to skyrmions of Skyrme. It is shown that the classical mechanics does not exclude skyrmions (as topologically stable field configuration of a certain class of non-linear sigma models- for example nucleon model). In certain conditions the Newtonian Theory becomes fundamental in building of modern physics theories (as quantum mechanics, fields theories, etc.).

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47

Itza-Ortiz, Salomon F., Sanjay Rebello, and Dean Zollman. "Students models of Newton s second law in mechanics and electromagnetism." European Journal of Physics 25, no. 1 (2003): 81–89. http://dx.doi.org/10.1088/0143-0807/25/1/011.

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48

Bievre, S. De. "Quantum mechanics on Newton-Cartan spacetimes: an alternative path integral formulation." Classical and Quantum Gravity 6, no. 5 (1989): 731–44. http://dx.doi.org/10.1088/0264-9381/6/5/015.

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49

Huang, Yuan Mao, and C. D. Horng. "Analysis of Torsional Vibration Systems by the Extended Transfer Matrix Method." Journal of Vibration and Acoustics 121, no. 2 (1999): 250–55. http://dx.doi.org/10.1115/1.2893972.

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This study applies the extended transfer matrix method and Newton-Raphson technique with complex numbers for torsional vibration analysis of damped systems. The relationships of the vibratory amplitude, the vibratory torque, the derivatives of the vibratory angular displacement and the vibratory torque between components at the left end and the right end of the torsional vibration system are derived. The derivatives of the vibratory angular displacement and the vibratory torque are used directly in the Newton-Raphson technique to determine the eigensolutions of systems that are compared and sh

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50

Watkins, Eric. "The Laws of Motion from Newton to Kant." Perspectives on Science 5, no. 3 (1997): 311–48. http://dx.doi.org/10.1162/posc_a_00530.

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It is often claimed (most recently by Michael Friedman) that Kant intended to justify Newton’s most fundamental claims expressed in the Principia, such as his laws of motion and the law of universal gravitation. In this article, I argue that the differences between Newton’s laws of motion and Kant’s laws of mechanics are not superficial or merely apparent. Rather, they reflect fundamental differences in their respective projects. This point can be seen especially clearly by considering the nature of the various projects undertaken in Germany prior to Kant that discuss the laws of motion. Wolff

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