Joint optimization algorithm for task offloading and resource allocation in low earth orbit satellites edge computing scenario by XIA Weiwei, HU Jing, SONG Tiecheng

“…For the resource allocation sub-problem, the Lagrange multiplier method was used to obtain the optimal bandwidth and compute resource allocation results. …”
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Mathematical Modeling of Marine Oil Spills in the Luanjiakou District, near the Port of Yantai by Daming Li, Xingchen Tang, Yanqing Li, Xiao Wang, Hongqiang Zhang

“…The simulation considers three parts, which consist of (1) the spreading of an oil slick on its edge as well as the diffusion and drift under dynamic actions, (2) the evaporation and spreading thickness of an oil slick in its interior, and (3) the adsorption and emulsification near shorelines and islands. The Euler-Lagrange method is adopted to track the spill location and particles positions on the edge of oil slicks. …”
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Evaluating the stability and efficacy of fractal-fractional models in reproductive cancer apoptosis with ABT-737 by Kottakkaran Sooppy Nisar, M. Sivashankar, S. Sabarinathan, C. Ravichandran, V. Sivaramakrishnan

“…The numerical schemes utilize the basic concepts of fractional calculus and Lagrange polynomial interpolation. We generate simulated graphical representations of these models for a variety of fractional-order values. …”
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Nonlinear Resonance Interaction between Conjugate Circumferential Flexural Modes in Single-Walled Carbon Nanotubes by Matteo Strozzi, Francesco Pellicano

“…An energy approach, based on Lagrange equations and series expansion of the displacements, is considered to reduce the initial partial differential equations to a set of nonlinear ordinary differential equations of motion. …”
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Research of Vibration Characteristics of Gear-rotor-bearing System with Compound Faults by Haisheng Feng, Yongqiang Xiao, Baoguo Wu, Jin Dang, Jianping Wang, Fengtao Wang

“…For the vibration response of gear-rotor-bearing system with compound faults，after the gear pair model and ball bearing model are combined，a coupling vibration model of gear-rotor-bearing system with 36 degrees of freedom based on the Lagrange equation is built，and the spalling defect on the driving gear and surface damage compound faults of bearings are set to study the vibration response of gear pair under compound faults. …”
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Presence of organochlorines in water and oysters Crassostrea sp. in Cananeia-SP by Cláudia Simões Reigada, Luiz Carlos Luchini, Edison Barbieri

“…Being a place of great ecological importance in the ecosystem, the Cananeia estuarine lagoon complex presents several aquatic environments subject to contamination by human activities. …”
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Active Vibration Suppression of a 3-DOF Flexible Parallel Manipulator Using Efficient Modal Control by Quan Zhang, Jiamei Jin, Jianhui Zhang, Chunsheng Zhao

“…To achieve active vibration control, multiple lead zirconate titanate (PZT) transducers are mounted on the flexible links as vibration sensors and actuators. Based on Lagrange’s equations, the dynamic model of the flexible links is derived with the dynamics of PZT actuators incorporated. …”
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Embalses Costeros Para el Control de los Mosquitos by Jorge R. Rey, C. Roxanne Rutledge Connelly

“…De las 16,185 ha originales de marismas embalsadas en la laguna Indian River, se han restaurado de alguna manera más de 12,600 ha, ya sea por reconexión, brechas en los diques, o restauración de las orillas. …”
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Coupled Lateral and Torsional Vibration of Rub-Impact Rotor during Hovering Flight by Nan Zheng, Moli Chen, Guihuo Luo, Zhifeng Ye

“…To study the rub-impact response characteristics of the rotor system during hovering flight, the dynamic model of a rub-impact rotor system is established with lateral-torsional vibration coupling effect under arbitrary maneuvering flight conditions using the finite element method and Lagrange equation. An implicit numerical integral method combining the Newmark-β and Newton–Raphson methods is used to solve the vibration response. …”
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A non-local regularization-based fractional-order total variational compressive sensing algorithm for effective recovery of Geiger-mode avalanche photodiode LiDAR images by Yuchao Wang, Xuyang Wei, Chunyang Wang, Xuelian Liu, Da Xie, Kai Yuan, Rong Li

“…Finally, an augmented Lagrange algorithm was employed to precisely recover the target range image. …”
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Dynamic Responses of Planar Multilink Mechanism considering Mixed Clearances by Xiulong Chen, Shuai Jiang, Yu Deng

“…The dynamic model with mixed clearances is built by the Lagrange multipliers. Dynamic responses including motion output of the slider, driving torques, contact forces, shaft center trajectories at revolute clearance pairs, and slider trajectory inside the guide are analyzed, respectively. …”
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Effect of Location of Delamination on Free Vibration of Cross-Ply Conical Shells by Sudip Dey, Amit Karmakar

“…The generalized dynamic equilibrium equation is derived from Lagrange's equation of motion neglecting Coriolis effect for moderate rotational speeds. …”
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Jurassic Osmundaceous Landscapes in Patagonia: Exploring the Concept of Ecological Stasis in the Deseado Massif, Argentina by Juan L. García Massini, Giovanni C. Nunes, Agustina Yañez, Ignacio H. Escapa, Diego Guido

“…This association is comparable to those dominated by Osmundaceae in modern swampy settings, such as in high-altitude lagoons in the Paraná Forest in Northeastern Argentina. …”
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Twin Support Vector Regression Model Based on Heteroscedastic Gaussian Noise and Its Application by Shiguang Zhang, Ge Feng, Feng Yuan, Shuangle Guo

“…In this paper, the characteristics of heteroscedasticity Gaussian noise are introduced into the model TSVR, and the twin support vector regression model based on heteroscedasticity Gaussian noise (TSVR-HGN) is constructed. The Lagrange multiplier method is used to solve the problem, and the optimization algorithm is used to find the global optimization. …”
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Hopf Bifurcation Characteristics of Dual-Front Axle Self-Excited Shimmy System for Heavy Truck considering Dry Friction by Daogao Wei, Ke Xu, Yibin Jiang, Changhe Chen, Wenjing Zhao, Fugeng Zhou

“…This study takes a dual-front axle heavy truck as sample vehicle and considers the influences of mid-shift transmission and dry friction to develop a 9 DOF dynamics model based on Lagrange’s equation. Based on the Hopf bifurcation theorem and center manifold theory, the study shows that dual-front axle shimmy is a self-excited vibration produced from Hopf bifurcation. …”
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Defective Laplacians and paradoxical phenomena in crowd motion modeling by Maury, Bertrand

“…Accounting for the non-overlapping constraint between hard discs leads to a particular operator acting on a field of Lagrange multipliers, defined on the dual graph of the contact network. …”
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HPM-Based Dynamic Sparse Grid Approach for Perona-Malik Equation by Shu-Li Mei, De-Hai Zhu

“…In order to decrease the calculation amount introduced by the change of the external grid points, the Newton interpolation technique is employed instead of the traditional Lagrange interpolation operator, and the condition number of the discretized matrix different equations is taken into account of the choice of the external grid points. …”
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Um corpo de leitura by Lia Duarte Mota

“…Ella nos cuenta las historias que oye de João, avisándonos que llena las lagunas dejadas por él por la falta de detalles. Este artículo pretende pensar la figura del lector en el libro de Elvira Vigna, un lector que compromete todo su cuerpo en la lectura y que, al hacerlo, la performatiza.…”
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Embalses Costeros Para el Control de los Mosquitos by Jorge R. Rey, C. Roxanne Rutledge Connelly

“…De las 16,185 ha originales de marismas embalsadas en la laguna Indian River, se han restaurado de alguna manera más de 12,600 ha, ya sea por reconexión, brechas en los diques, o restauración de las orillas. …”
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Robust pareto multiobjective optimum design of FG-Beam under moving mass by Moein Abdollah-Salimi, Nader Nariman-Zadeh, Reza Ansari

“…By substituting terms of energy into the Lagrange equation, differential equations of motion are obtained. …”
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