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Journal articles on the topic 'Lagrange space'

Author: Grafiati

Published: 4 June 2025

Last updated: 15 July 2025

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1

Shukla, Suresh K., та P. N. Pandey. "Lagrange Spaces with (γ,β)-Metric". Geometry 2013 (30 січня 2013): 1–7. http://dx.doi.org/10.1155/2013/106393.

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We study Lagrange spaces with (γ,β)-metric, where γ is a cubic metric and β is a 1-form. We obtain fundamental metric tensor, its inverse, Euler-Lagrange equations, semispray coefficients, and canonical nonlinear connection for a Lagrange space endowed with a (γ,β)-metric. Several other properties of such space are also discussed.

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2

Miron, Radu, and Renza Tavakol. "Geometry of space-time and generalized Lagrange spaces." Publicationes Mathematicae Debrecen 44, no. 1-2 (1994): 167–74. http://dx.doi.org/10.5486/pmd.1994.1338.

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3

Shukla, H. S., та S. K. Mishra. "Subspaces of the Generalized Lagrange Space with the Metric gij (x, y) = γij (x) + ³ 1 − 1 η2(x) ´ yiyj". Journal of the Tensor Society 5, № 01 (2007): 41–47. http://dx.doi.org/10.56424/jts.v5i01.10443.

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R. Miron and M. Anastesiei [4] have developed theory of subspaces of gen- eralized Lagrange spaces to a large extent in their monograph \Vector bundles and Lagrange spaces, application in relativity". In 1989 T. Kawaguchi and R. Miron [3] gave a class of generalized Lagrange space Mn = (M; gij(x; y)) where gij(x; y) = °ij(x) + 1 c2 yiyj ;

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4

Pandey, P. N., та Suresh K. Shukla. "On Almost φ-Lagrange Spaces". ISRN Geometry 2011 (27 грудня 2011): 1–16. http://dx.doi.org/10.5402/2011/505161.

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We initiate a study on the geometry of an almost φ-Lagrange space (APL-space in short). We obtain the expressions for the symmetric metric tensor, its inverse, semispray coefficients, solution curves of Euler-Lagrange equations, nonlinear connection, differential equation of autoparallel curves, coefficients of canonical metrical d-connection, and h- and v-deflection tensors in an APL-space. Corresponding expressions in a φ-Lagrange space and an almost Finsler Lagrange space (AFL-space in short) have also been deduced.

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5

Dias, R. S. O., M. Martarelli, and P. Chiariotti. "Lagrange Multiplier State-Space Substructuring." Journal of Physics: Conference Series 2041, no. 1 (2021): 012016. http://dx.doi.org/10.1088/1742-6596/2041/1/012016.

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6

Xie, T. F., and S. P. Zhou. "On approximation by trigonometric Lagrange interpolating polynomials." Bulletin of the Australian Mathematical Society 40, no. 3 (1989): 425–28. http://dx.doi.org/10.1017/s0004972700017482.

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It is well-known that the approximation to f(x) ∈ C2π, by nth trigonometric Lagrange interpolating polynomials with equally spaced nodes in C2π, has an upper bound In(n)En(f), where En(f) is the nth best approximation of f(x). For various natural reasons, one can ask what might happen in Lp space? The present paper indicates that the result about the trigonometric Lagrange interoplating approximation in Lp space for 1 < p < ∞ may be “bad” to an arbitrary degree.

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7

Kasap, Zeki. "Weyl–Euler–Lagrange equations on twistor space for tangent structure." International Journal of Geometric Methods in Modern Physics 13, no. 07 (2016): 1650095. http://dx.doi.org/10.1142/s021988781650095x.

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Twistor spaces are certain complex three-manifolds, which are associated with special conformal Riemannian geometries on four-manifolds. Also, classical mechanic is one of the major subfields for mechanics of dynamical system. A dynamical system has a state determined by a collection of real numbers, or more generally by a set of points in an appropriate state space for classical mechanic. Euler–Lagrange equations are an efficient use of classical mechanics to solve problems using mathematical modeling. On the other hand, Weyl submitted a metric with a conformal transformation for unified theo

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8

Burian, Sergey N. "Reaction forces and friction forces in the dynamics of systems with geometric singularities." Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy 11, no. 4 (2024): 755–71. https://doi.org/10.21638/spbu01.2024.411.

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The properties of the holonomic mechanical systems motion with parameters are discussed. For some (critical) parameter values, the configuration space of a mechanical system is a manifold with singularities. For other parameter values, the configuration space is a smooth manifold. It is assumed that the sliding friction force according to the Amonton-Coulomb model can act upon one of the material points of the mechanical system. When the parameters of a mechanical system differ from critical values, then the classical Lagrange equations could be applied to describe its dynamics. The point of i

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9

Lal, Chandra, та Prasad Yadav Ganga. "ON CONFORMAL TRANSFORMATION OF LAGRANGE SPACE WITH (Γ, Β)-METRIC". INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH 09, № 02 (2021): 2178–86. https://doi.org/10.47191/ijmcr/v9i2.01.

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The present paper is a study of the conformal transformation of the Lagrange space with (γ, β)-metric. The conformal transformation of the spray coefficient and Riemann curvature are express in Lagrange space with (γ, β)-metric. Further, find out the condition that a conformal transformation of Lagrange space with (γ, β)-metric is locally dually flat if and only if the transformation is a homothety. Moreover, the conditions for the transform metrics to be Einstein and isotropic mean Berwald curvature are also find.

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10

Borwein, P. B., T. F. Xie, and S. P. Zhou. "On approximation by trigonometric Lagrange interpolating polynomials II." Bulletin of the Australian Mathematical Society 45, no. 2 (1992): 215–21. http://dx.doi.org/10.1017/s0004972700030070.

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We show that trigonometric Lagrange interpolating approximation with arbitrary real distinct nodes in Lp space for 1 ≤ p < ∞, as that with equally spaced nodes in Lp space for 1 < p < ∞ in an earlier paper by T.F. Xie and S.P. Zhou, may also be arbitrarily “bad”. This paper is a continuation of this earlier work by Xie and Zhou, but uses a different method.

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11

Wang Yong and Guo Yong-Xin. "d'Alembert-Lagrange principle on Riemann-Cartan space." Acta Physica Sinica 54, no. 12 (2005): 5517. http://dx.doi.org/10.7498/aps.54.5517.

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12

Pandey, P. N., and Suresh K. Shukla. "On Subspaces of an Almost -Lagrange Space." International Journal of Mathematics and Mathematical Sciences 2012 (2012): 1–14. http://dx.doi.org/10.1155/2012/981059.

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We discuss the subspaces of an almost -Lagrange space (APL space in short). We obtain the induced nonlinear connection, coefficients of coupling, coefficients of induced tangent and induced normal connections, the Gauss-Weingarten formulae, and the Gauss-Codazzi equations for a subspace of an APL-space. Some consequences of the Gauss-Weingarten formulae have also been discussed.

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13

VACARU, SERGIU I. "FINSLER AND LAGRANGE GEOMETRIES IN EINSTEIN AND STRING GRAVITY." International Journal of Geometric Methods in Modern Physics 05, no. 04 (2008): 473–511. http://dx.doi.org/10.1142/s0219887808002898.

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We review the current status of Finsler–Lagrange geometry and generalizations. The goal is to aid non-experts on Finsler spaces, but physicists and geometers skilled in general relativity and particle theories, to understand the crucial importance of such geometric methods for applications in modern physics. We also would like to orient mathematicians working in generalized Finsler and Kähler geometry and geometric mechanics how they could perform their results in order to be accepted by the community of "orthodox" physicists. Although the bulk of former models of Finsler–Lagrange spaces where

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14

Song, Young-Joo, and Donghun Lee. "Preliminary Analysis on Launch Opportunities for Sun-Earth Lagrange Points Mission from NARO Space Center." Journal of Astronomy and Space Sciences 38, no. 2 (2021): 145–55. http://dx.doi.org/10.5140/jass.2021.38.2.145.

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In this work, preliminary launch opportunities from NARO Space Center to the Sun-Earth Lagrange point are analyzed. Among five different Sun-Earth Lagrange points, L1 and L2 points are selected as suitable candidates for, respectively, solar and astrophysics missions. With high fidelity dynamics models, the L1 and L2 point targeting problem is formulated regarding the location of NARO Space Center and relevant Target Interface Point (TIP) for each different launch date is derived including launch injection energy per unit mass (C3), Right ascension of the injection orbit Apoapsis Vector (RAV)

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15

Burian, Sergei N. "Reaction forces of singular pendulum." Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy 9, no. 2 (2022): 278–93. http://dx.doi.org/10.21638/spbu01.2022.209.

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Various behavior types of reaction forces and Lagrange multipliers for the case of mechanical systems with configuration space singularities are studied in this paper. The motion of a one-dimensional double pendulum (or a singular pendulum) with a transversal singular point or a first order tangency singular point is considered. Properties of the configuration space of singular pendulum depends on the constraint line which the free vertex of the double pendulum moves along. Configuration space of singular pendulum could be represented by two smooth curves on a torus without common points, two

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16

HE, JI-HUAN. "A FRACTAL VARIATIONAL THEORY FOR ONE-DIMENSIONAL COMPRESSIBLE FLOW IN A MICROGRAVITY SPACE." Fractals 28, no. 02 (2020): 2050024. http://dx.doi.org/10.1142/s0218348x20500243.

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The semi-inverse method is adopted to establish a family of fractal variational principles of the one-dimensional compressible flow under the microgravity condition, and Cauchy–Lagrange integral is successfully derived from the obtained variational formulation. A suitable application of the Lagrange multiplier method is also elucidated.

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17

Gorman, Arthur D. "Space-time caustics." International Journal of Mathematics and Mathematical Sciences 9, no. 3 (1986): 531–40. http://dx.doi.org/10.1155/s0161171286000662.

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The Lagrange manifold (WKB) formalism enables the determination of the asymptotic series solution of linear differential equations modelling wave propagation in spatially inhomogeneous media at caustic (turning) points. Here the formalism is adapted to determine a class of asymptotic solutions at caustic points for those equations modelling wave propagation in media with both spatial and temporal inhomogeneities. The analogous Schrodinger equation is also considered.

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18

Abella, Álvaro Rodríguez, and Melvin Leok. "Discrete Dirac reduction of implicit Lagrangian systems with abelian symmetry groups." Journal of Geometric Mechanics 15, no. 1 (2023): 319–56. http://dx.doi.org/10.3934/jgm.2023013.

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<abstract><p>This paper develops the theory of discrete Dirac reduction of discrete Lagrange–Dirac systems with an abelian symmetry group acting on the configuration space. We begin with the linear theory and, then, we extend it to the nonlinear setting using retraction compatible charts. We consider the reduction of both the discrete Dirac structure and the discrete Lagrange–Pontryagin principle, and show that they both lead to the same discrete Lagrange–Poincaré–Dirac equations. The coordinatization of the discrete reduced spaces relies on the notion of discrete connections on pr

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19

Yuan, Yunfei, and Changchun Liu. "Optimal control for the coupled chemotaxis-fluid models in two space dimensions." Electronic Research Archive 29, no. 6 (2021): 4269. http://dx.doi.org/10.3934/era.2021085.

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<p style='text-indent:20px;'>This paper deals with a distributed optimal control problem to the coupled chemotaxis-fluid models. We first explore the global-in-time existence and uniqueness of a strong solution. Then, we define the cost functional and establish the existence of Lagrange multipliers. Finally, we derive some extra regularity for the Lagrange multiplier.</p>

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20

Koplow, David. "Pave Outer Space and Put Up A Parking Lot: Lagrange Points Should Be the Common Heritage of Mankind." Michigan Journal of International Law, no. 46.3 (2025): 403. https://doi.org/10.36642/mjil.46.3.pave.

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Outer space offers a vast array of opportunities, with different locations or regions available for exploitation by diverse users for a growing variety of satellite functions. But not all sectors of space are equally valuable for all applications, and the most desirable venues can become crowded, affording a premium for those who gain access first and impeding the development of a fair and efficient all-inclusive international legal regime. This article focuses on Lagrange points, a finite series of special locations in space where the gravitational forces from a pair of large celestial bodies

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21

Shanker, Gauree. "The L-dual of a Generalized m-Kropina Space." Journal of the Tensor Society 5, no. 01 (2007): 15–25. http://dx.doi.org/10.56424/jts.v5i01.10445.

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In 1987, R. Miron introduced the concept of L-duality between Cartan spaces and Finsler spaces ([5]) : The geometry of higher order Finsler spaces were sudied in ([1] ; [8]) : The theory of higher order Lagrange and Hamilton spaces were discussed in ([6] ; [7] ; [9]) : Some special problems concerning the L- duality and classes of Finsler spaces were studied in ([3] ; [13]) : In ([2] ; [10] ; [11]) the L-duals of Randers, Kropina and Matsumoto space were introduced. The L-dual of an (®; ¯) Finsler space was introduced in [12] :In this paper we give the L-dual of a generalized m-Kropina Space.

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22

Pashkevich, V. V., and G. I. Eroshkin. "Relativistic Rotation of the Rigid Body in the Rodrigues – Hamilton Parameters: Lagrange Function and Equations of Motion." Artificial Satellites 53, no. 3 (2018): 89–115. http://dx.doi.org/10.2478/arsa-2018-0008.

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Abstract The main purposes of this research are to obtain Lagrange function for the relativistic rotation of the rigid body, which is generated by metric properties of Riemann space of general relativity and to derive the differential equations, determining the rigid body rotation in the terms of the Rodrigues - Hamilton parameters. The Lagrange function for the relativistic rotation of the rigid body is derived from the Lagrange function of the nonrotation point of masses system in the relativistic approximation.

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23

Lamichhane, Bishnu P. "Mixed Finite Element Methods for the Poisson Equation Using Biorthogonal and Quasi-Biorthogonal Systems." Advances in Numerical Analysis 2013 (April 11, 2013): 1–9. http://dx.doi.org/10.1155/2013/189045.

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We introduce two three-field mixed formulations for the Poisson equation and propose finite element methods for their approximation. Both mixed formulations are obtained by introducing a weak equation for the gradient of the solution by means of a Lagrange multiplier space. Two efficient numerical schemes are proposed based on using a pair of bases for the gradient of the solution and the Lagrange multiplier space forming biorthogonal and quasi-biorthogonal systems, respectively. We also establish an optimal a priori error estimate for both finite element approximations.

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24

Edlund, Eric M. "Lagrange points and regionally conserved quantities." American Journal of Physics 92, no. 6 (2024): 414–23. http://dx.doi.org/10.1119/5.0160904.

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Lagrange points are the equilibrium points within a restricted three-body system, epitomized by the Trojan asteroids near the L4 and L5 points of the Sun–Jupiter system. They also play a crucial role in some space missions, including the James Webb Space Telescope which is located at the Sun–Earth L2 point. While the existence of five Lagrange points is a well-known feature of the restricted three-body problem, the equations describing the precise location of all five points are not extensively documented. This work presents a derivation of all Lagrange points using polar coordinates and a new

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25

Zhao, Zhuoqun, Jiang Wang, and Hui Zhao. "Task-Space Cooperative Tracking Control for Networked Uncalibrated Multiple Euler–Lagrange Systems." Electronics 11, no. 15 (2022): 2449. http://dx.doi.org/10.3390/electronics11152449.

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Task-space cooperative tracking control of the networked multiple Euler–Lagrange systems is studied in this paper. On the basis of establishing kinematic and dynamic modeling of a Euler–Lagrange system, an innovative task-space coordination controller is designed to deal with the time-varying communicating delays and uncertainties. First, in order to weaken the influence of the uncertainty of kinematic and dynamic parameters on the control error of the system, the product of the Jacobian matrix and the generalized spatial velocity are linearly parameterized; thus, the unknown parameters are se

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26

Vaisman, Izu. "Lagrange geometry on tangent manifolds." International Journal of Mathematics and Mathematical Sciences 2003, no. 51 (2003): 3241–66. http://dx.doi.org/10.1155/s0161171203303059.

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Lagrange geometry is the geometry of the tensor field defined by the fiberwise Hessian of a nondegenerate Lagrangian function on the total space of a tangent bundle. Finsler geometry is the geometrically most interesting case of Lagrange geometry. In this paper, we study a generalization which consists of replacing the tangent bundle by a general tangent manifold, and the Lagrangian by a family of compatible, local, Lagrangian functions. We give several examples and find the cohomological obstructions to globalization. Then, we extend the connections used in Finsler and Lagrange geometry, whil

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27

Muslih, Sami I., and Dumitru Baleanu. "Fractional Euler—Lagrange Equations of Motion in Fractional Space." Journal of Vibration and Control 13, no. 9-10 (2007): 1209–16. http://dx.doi.org/10.1177/1077546307077473.

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28

Lee, S. L., and G. M. Phillips. "Construction of lattices for lagrange interpolation in projective space." Constructive Approximation 7, no. 1 (1991): 283–97. http://dx.doi.org/10.1007/bf01888158.

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29

Shen, Shun-Qing. "Lagrange Method in Reflection Positivity in the Spin Space." Physical Review Letters 79, no. 9 (1997): 1781. http://dx.doi.org/10.1103/physrevlett.79.1781.

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30

Miron, R., R. K. Tavakol, V. Balan, and I. Roxburgh. "Geometry of space-time and generalised Lagrange gauge theory." Publicationes Mathematicae Debrecen 42, no. 3-4 (1993): 391–96. http://dx.doi.org/10.5486/pmd.1993.1385.

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31

KAWAKUBO, SATOSHI. "GLOBAL SOLUTIONS OF THE EQUATION OF THE KIRCHHOFF ELASTIC ROD IN SPACE FORMS." Bulletin of the Australian Mathematical Society 88, no. 1 (2012): 70–80. http://dx.doi.org/10.1017/s0004972712000767.

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AbstractThe Kirchhoff elastic rod is one of the mathematical models of equilibrium configurations of thin elastic rods, and is defined to be a solution of the Euler–Lagrange equations associated to the energy with the effect of bending and twisting. In this paper, we consider Kirchhoff elastic rods in a space form. In particular, we give the existence and uniqueness of global solutions of the initial-value problem for the Euler–Lagrange equations. This implies that an arbitrary Kirchhoff elastic rod of finite length extends to that of infinite length.

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32

Gudi, Thirupathi, and Ramesh Ch Sau. "Finite element analysis of the constrained Dirichlet boundary control problem governed by the diffusion problem." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 78. http://dx.doi.org/10.1051/cocv/2019068.

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We study an energy space-based approach for the Dirichlet boundary optimal control problem governed by the Laplace equation with control constraints. The optimality system results in a simplified Signorini type problem for control which is coupled with boundary value problems for state and costate variables. We propose a finite element based numerical method using the linear Lagrange finite element spaces with discrete control constraints at the Lagrange nodes. The analysis is presented in a combination for both the gradient and the L2 cost functional. A priori error estimates of optimal order

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33

Gorobtsov, Alexander, Oleg Sychev, Yulia Orlova, et al. "Optimal Greedy Control in Reinforcement Learning." Sensors 22, no. 22 (2022): 8920. http://dx.doi.org/10.3390/s22228920.

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We consider the problem of dimensionality reduction of state space in the variational approach to the optimal control problem, in particular, in the reinforcement learning method. The control problem is described by differential algebraic equations consisting of nonlinear differential equations and algebraic constraint equations interconnected with Lagrange multipliers. The proposed method is based on changing the Lagrange multipliers of one subset based on the Lagrange multipliers of another subset. We present examples of the application of the proposed method in robotics and vibration isolat

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34

Saeed, Umer, and Muhammad Umair. "A modified method for solving non-linear time and space fractional partial differential equations." Engineering Computations 36, no. 7 (2019): 2162–78. http://dx.doi.org/10.1108/ec-01-2019-0011.

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Purpose The purpose of the paper is to extend the differential quadrature method (DQM) for solving time and space fractional non-linear partial differential equations on a semi-infinite domain. Design/methodology/approach The proposed method is the combination of the Legendre polynomials and differential quadrature method. The authors derived and constructed the new operational matrices for the fractional derivatives, which are used for the solutions of non-linear time and space fractional partial differential equations. Findings The fractional derivative of Lagrange polynomial is a big hurdle

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35

Lu, Chang-Na, Sheng-Xiang Chang, Luo-Yan Xie, and Zong-Guo Zhang. "Generation and solutions to the time-space fractional coupled Navier-Stokes equations." Thermal Science 24, no. 6 Part B (2020): 3899–905. http://dx.doi.org/10.2298/tsci2006899l.

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In this paper, a Lagrangian of the coupled Navier-Stokes equations is proposed based on the semi-inverse method. The fractional derivatives in the sense of Riemann-Liouville definition are used to replace the classical derivatives in the Lagrangian. Then the fractional Euler-Lagrange equation can be derived with the help of the fractional variational principles. The Agrawal?s method is devot?ed to lead to the time-space fractional coupled Navier-Stokes equations from the above Euler-Lagrange equation. The solution of the time-space fractional coupled Navier-Stokes equations is obtained by mean

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36

MURCHADHA, NIALL Ó. "CONSTRAINED HAMILTONIANS AND LOCAL-SQUARE-ROOT ACTIONS." International Journal of Modern Physics A 17, no. 20 (2002): 2717–20. http://dx.doi.org/10.1142/s0217751x02011667.

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The configuration space of general relativity is superspace, the space of Riemannian three-geometries and the Hamiltonian is just a sum of constraints, with Lagrange multipliers. One can go from this Hamiltonian, via a Legandre transformation, back and forth to the Lagrangian. The Lagrange multiplier (the lapse function) can be eliminated from the Lagrangian and one is left with an action which is a product of square roots. This is the Baierlein-Sharp-Wheeler action for general relativity. This action is unique in that all other square root actions are not self-consistent. This paper shows how

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37

Ibraheem, Rasha Hassein. "Fuzzy Lagrange Polynomials for Solving Two-Dimensional Fuzzy Fractional Volterra Integro-Differential Equations." Global Journal of Mathematics and Statistics 2, no. 1 (2025): 52–62. https://doi.org/10.61424/gjms.v2i1.291.

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In this study, we present a numerical approach to solve first-order fuzzy fractional Volterra integro-differential equations in two dimensions space, using three different formulations of fuzzy Lagrange polynomials: the fuzzy original Lagrange polynomial (FOLP), the fuzzy barycentric Lagrange polynomial (FBLP), and the fuzzy modified Lagrange polynomial (FMLP). Comprehensive algorithm is constructed to improve the computational efficiency of the proposed method and its effectiveness was tested through numerical application the numerical results demonstrate that the three methods can preserve t

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38

Tanner, J. A., V. J. Martinson, and M. P. Robinson. "Static Frictional Contact of the Space Shuttle Nose-Gear Tire." Tire Science and Technology 22, no. 4 (1994): 242–72. http://dx.doi.org/10.2346/1.2139544.

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Abstract A computational procedure has been presented for the solution of frictional contact problems for aircraft tires. The Space Shuttle nose-gear tire was modeled using a two-dimensional laminated anisotropic shell theory with the effects of variation in material and geometric parameters, transverse shear deformation, and geometric non-linearities included. Contact conditions were incorporated into the formulation by using a perturbed Lagrangian approach with the fundamental unknowns consisting of the stress resultants, the generalized displacements, and the Lagrange multipliers associated

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Rassias, John Michael, Narasimman Pasupathi, Reza Saadati та Manuel de la Sen. "Approximation of Mixed Euler-Lagrange σ -Cubic-Quartic Functional Equation in Felbin’s Type f-NLS". Journal of Function Spaces 2021 (12 лютого 2021): 1–7. http://dx.doi.org/10.1155/2021/8068673.

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In this research paper, the authors present a new mixed Euler-Lagrange σ -cubic-quartic functional equation. For this introduced mixed type functional equation, the authors obtain general solution and investigate the various stabilities related to the Ulam problem in Felbin’s type of fuzzy normed linear space (f-NLS) with suitable counterexamples. This approach leads us to approximate the Euler-Lagrange σ -cubic-quartic functional equation with better estimation.

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40

Yoon, Yourim, and Yong-Hyuk Kim. "A Memetic Lagrangian Heuristic for the 0-1 Multidimensional Knapsack Problem." Discrete Dynamics in Nature and Society 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/474852.

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We present a new evolutionary algorithm to solve the 0-1 multidimensional knapsack problem. We tackle the problem using duality concept, differently from traditional approaches. Our method is based on Lagrangian relaxation. Lagrange multipliers transform the problem, keeping the optimality as well as decreasing the complexity. However, it is not easy to find Lagrange multipliers nearest to the capacity constraints of the problem. Through empirical investigation of Lagrangian space, we can see the potentiality of using a memetic algorithm. So we use a memetic algorithm to find the optimal Lagra

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41

West, Matthew J., Christian Kintziger, Margit Haberreiter, et al. "LUCI onboard Lagrange, the next generation of EUV space weather monitoring." Journal of Space Weather and Space Climate 10 (2020): 49. http://dx.doi.org/10.1051/swsc/2020052.

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Lagrange eUv Coronal Imager (LUCI) is a solar imager in the Extreme UltraViolet (EUV) that is being developed as part of the Lagrange mission, a mission designed to be positioned at the L5 Lagrangian point to monitor space weather from its source on the Sun, through the heliosphere, to the Earth. LUCI will use an off-axis two mirror design equipped with an EUV enhanced active pixel sensor. This type of detector has advantages that promise to be very beneficial for monitoring the source of space weather in the EUV. LUCI will also have a novel off-axis wide field-of-view, designed to observe the

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42

Chen, Ti, Yue Cao, Mingyan Xie, Shihao Ni, Enchang Zhai, and Zhengtao Wei. "Distributed Passivity-Based Control for Multiple Space Manipulators Holding Flexible Beams." Actuators 14, no. 1 (2025): 20. https://doi.org/10.3390/act14010020.

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This paper proposes a distributed passivity-based control scheme for the consensus and vibration suppression of multiple space manipulators holding flexible beams. A space manipulator holding a flexible beam is essentially a rigid–flexible underactuated system. The bending deformation of the flexible beam is discretized by employing the assumed modes method. Based on Lagrange’s equations of the second kind, the dynamics model of each manipulator holding a flexible beam is established. By connecting such underactuated systems with the auxiliary Euler–Lagrange systems, a distributed passivity-ba

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Alkahtani, Badr S., Vartika Gulati, and Pranay Goswami. "On the Solution of Generalized Space Time Fractional Telegraph Equation." Mathematical Problems in Engineering 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/861073.

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We present the solution of generalized space time fractional telegraph equation by using Sumudu variational iteration method which is the combination of variational iteration method and Sumudu transform. We tried to overcome the difficulties in finding the value of Lagrange multiplier by this new technique.

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Sagyndykov, B. "A METHOD FOR INVESTIGATING A ONE-DIMENSIONAL CONSERVATIVE SYSTEM." Bulletin of Dulaty University 14, no. 2 (2024): 233–140. http://dx.doi.org/10.55956/obtk1024.

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The article examines the movements of systems with equal degrees of freedom in a potential, stationary external field using the laws of theoretical mechanics. In order to study the system, the following generalized form of the Lagrange function was used [1,2]: If the force F acting on a particle depends only on the x coordinate, the Lagrange function is transformed as follows [1,2]: где, , , . We have written down the Lagrange equation for plane mathematical, physical, and cyclonic pendulums as follows [3,4]: +mgl где, , +mg l The moment of inertia compared to the axis of rotation J, the dista

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Kashpur, O. F., and V. V. Khlobystov. "Lagrange interpolation polynomial in a linear space with inner product." Reports of the National Academy of Sciences of Ukraine, no. 8 (August 20, 2018): 12–17. http://dx.doi.org/10.15407/dopovidi2018.08.012.

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Bishop, R. F. "Translationally invariant clusters in coordinate space: an Euler-Lagrange approach." Journal of Physics G: Nuclear and Particle Physics 18, no. 7 (1992): 1157–76. http://dx.doi.org/10.1088/0954-3899/18/7/007.

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Hansbo, Peter. "A free-Lagrange finite element method using space-time elements." Computer Methods in Applied Mechanics and Engineering 188, no. 1-3 (2000): 347–61. http://dx.doi.org/10.1016/s0045-7825(99)00157-7.

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Najati, Abbas, and Asghar Rahimi. "Euler-Lagrange Type Cubic Operators and Their Norms on Space." Journal of Inequalities and Applications 2008, no. 1 (2008): 195137. http://dx.doi.org/10.1155/2008/195137.

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Xu, Gui Qiao. "The average errors for lagrange interpolation on the Wiener space." Acta Mathematica Sinica, English Series 28, no. 8 (2012): 1581–96. http://dx.doi.org/10.1007/s10114-012-0242-9.

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De Marchi, S., and M. Morandi Cecchi. "Reference functional and characteristic space for Lagrange and Bernstein operators." Approximation Theory and its Applications 11, no. 4 (1995): 6–14. http://dx.doi.org/10.1007/bf02836825.

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