Numerical Analysis of Time-Fractional Diffusion Equations via a Novel Approach by Nehad Ali Shah, S. Saleem, Ali Akgül, Kamsing Nonlaopon, Jae Dong Chung

“…In the variational iteration technique, identifying of the Lagrange multiplier is an essential rule, and variational theory is commonly used for this purpose. …”
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Behavior of Uniform Anisotropic Beams of Rectangular Section under Transverse Impact of a Mass by Lu Chun, K. Y. Lam

“…The nonlinear differential governing equations of motion are then derived based on the Lagrange principle and modified nonlinear contact law, and solved numerically. …”
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Kinematics and Dynamics Analysis of Human Jumping Mechanism by Qing Di, Cao Jujiang

“…On the basis of the kinematics analysis,the dynamics analysis is carried out by using the Lagrange method,the dynamics equations of the relation between force and position in the jumping phase are obtained,the theoretical foundation for the design of various humanoid jumping mechanisms is provided. …”
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Solution to the Problem of a Mass Traveling on a Taut String via Integral Equation by M. Ferretti, A. Luongo

“…The equations governing the moving boundary problem are derived via a variational principle, in which the geometric compatibility between the point mass and the string is enforced via a Lagrange multiplier, having the meaning of transverse reactive force. …”
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Approximate Symmetries Analysis and Conservation Laws Corresponding to Perturbed Korteweg–de Vries Equation by Tahir Ayaz, Farhad Ali, Wali Khan Mashwani, Israr Ali Khan, Zabidin Salleh, Ikramullah

“…This paper presents the analysis of the approximate symmetries along with conservation laws corresponding to the perturbed KdV equation for different classes of the perturbed function. Partial Lagrange method is used to obtain the approximate symmetries and their corresponding conservation laws of the KdV equation. …”
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From Fugitive Poses to Visual Sovereignty : The Photo-poetics of Leslie Silko’s Storyteller and Joy Harjo’s Crazy Brave by Audrey Goodman

“…By narrating the “fugitive poses” staged by white and Native photographers, Silko (Laguna Pueblo) and Harjo (Muscogee Creek) mobilize still images through time and space to generate open and flexible literary forms. …”
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Analysis of the Characteristic of Meshing Impact Load for Constrained Conveyor Chain with Long Pitch by Li Shujing, Shang Peng, Li Shoudong, Cui Zengyao, Liang Yanshu, Hong Lin

“…The kinematics models of the two parts are established based on the Lagrange equation to calculate the generalized moment. …”
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Self-configuration power scheme for femtocell base station by Peng XU, Xu-ming FANG, Zheng XIANG, Rong HE

“…To solve the issue that new femtocells deployed in hierarchical networks would introduce a series of interference,a power self-configuration scheme was proposed.Various kinds of interference that femtocell base station might receive from other base stations were analyzed.Then an optimal power issue was formulized,as was able to maximize the femtocell system capacity on the condition guaranteeing the existing users'normal communication.And the optimal solution was also obtained with lagrange multiplier method.The simulation results show that the proposed scheme cuts down the transmit power of femtocell,increases the throughput and reduces interference for existing users,comparing with the scheme based on received signal strength.…”
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Fair Resource Allocation Algorithm for OFDMA System with Imperfect CSI by Yaohui Wu, Youming Li, Liping Jin, Pengfei Shao

“…In order to reduce the complexity in the use of dual optimization method for solving the lagrange operator process, an iteration searching method in the same layer was proposed to replace the traditional multi-layer iteration searching method. …”
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Creating a ‘Truer’ Language Within a Work of Fiction: The Example of Suzette Haden Elgin’s Native Tongue by Ruth MENZIES

“…This study aims to assess the position which Elgin’s imaginary, ideal language – Láadan – occupies between the realms of reality and fiction, truth and lies.…”
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Sliding Mode-Based Control of a UAV Quadrotor for Suppressing the Cable-Suspended Payload Vibration by Tom Kusznir, Jaroslaw Smoczek

“…A nonlinear model is derived for the coupled quadrotor-pendulum system in the X-Z plane using Euler–Lagrange formulation. Sliding mode control (SMC) is used for horizontal positioning and payload vibration damping, while a feedback linearizing controller is used for both altitude and attitude control. …”
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Non-impact Trajectory Planning and Dynamics Simulation Analysis of Four-DOF Manipulator by Liu Lei, Zhu Xinglong, Yin Junyao

“…In the research of robotic manipulator，trajectory planning and dynamics analysis are very important.In view of the structural characteristics of the four-DOF manipulator for electro test and installation of ground wire，the dynamics model is established by Lagrange method and the dynamics analysis is carried out.On the basis of fourth order polynomial，the non-impact trajectory planning is proposed.The Simulink module in Matlab is used to get the curve of the moment and force of each joint changing with time.Using Adams software to carry out dynamics simulation，the moment and force curve of each joint are got，and compare with the curve calculated by Simulink，the correctness of dynamic analysis are confirmed，the foundation for the next structural design and system control is laid.…”
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A finite element method for growth in biological development by Cornel M. Murea, H. G. E. Hentschel

“…At each time step, a mixed-hybrid finite element problem is solved,where the condition that the velocity is strictly normal to the limb boundary is treatedby a Lagrange multiplier technique. Numerical results are presented.…”
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Modeling and Prediction of Momentum Wheel Speed Data by Jichao Li, Xiaxia Wang, Chaobo Chen, Song Gao

“…To solve the problems of data loss and unequal interval of momentum wheel (MW) speed during a satellite stable operation, this paper presents a multidimensional AR model. A Lagrange interpolation method is used to convert measurements to equal interval data, and the FFT algorithm is adopted to calculate the period of MW speed variation. …”
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Existence of Prescribed L2-Norm Solutions for a Class of Schrödinger-Poisson Equation by Yisheng Huang, Zeng Liu, Yuanze Wu

“…Moreover, the properties of Iρ2/ρ2 and the associated Lagrange multiplier λρ are also given if p∈(2,8/3].…”
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Simulations of Muon Flux in Slanic Salt Mine by Mehmet Bektasoglu, Halil Arslan, Denis Stanca

“…This site is specially important since it is one of the seven sites in Europe that are under consideration of housing large detector components of Large Apparatus studying Grand Unification and Neutrino Astrophysics (LAGUNA) project. Simulations were performed for vertical muons and for muons with a zenith angle θ≤60°. …”
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Cooperative service caching and peer offloading in Internet of vehicles based on multi-agent meta-reinforcement learning by Zhaolong NING, Kaiyuan ZHANG, Xiaojie WANG, Lei GUO

“…In order to reduce computation complexity, a two-layer mutli-RSU (road side unit) service caching and peer offloading algorithm (MPO) was proposed to decouple the optimization problem.In the designed MPO, the outer layer utilized multi-agent meta-reinforcement learning, which established long short-term memory (LSTM) network as the meta-agent to balance decisions of local agents and accelerate learning progress.The inner layer utilized lagrange multiplier method to achieve optimal decision for RSU peer offloading.Experimental results based on real traffic data in Hangzhou demonstrate that the proposed method outperforms other methods and remains robust under large-scale workloads.…”
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Dynamic Modeling and Response of a Rotating Cantilever Beam with a Concentrated Mass by Yang Yong-feng, Wang Yan-lin, Chen Hu, Wu Min-juan

“…Considering the second-order coupling of axial displacement which is caused by transverse deformation of the beam, the dynamic equations of the system are established using the second Lagrange equation and the assumed mode method. The simulation results show that the concentrated mass mainly suppresses the vibration and exhibits damping characteristics. …”
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Fuzzy Comprehensive Safety Evaluation of Pipeline Disaster in China-Russia Crude Oil Permafrost Region Based on Improved Analytic Hierarchy Process-Entropy Weight Method by Yangyang Shen, Dongxu Chen, Min Zhang, Ting Zuo

“…A comprehensive weight determination method based on improved fuzzy analytic hierarchy process, entropy weight method and Lagrange algorithm is proposed, and a fuzzy comprehensive evaluation model of permafrost pipeline safety is established. …”
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DYNAMIC RESPONSE OF THE LAYERING ORDER OF 2024 ALUMINUM ALLOY THIN PLATES AGAINST THE BIRD STRIKE by YUAN JiaJun

“…Based on AUTODYN finite element software,a bird bullet SPH model and a Lagrange model of 2024 aerospace aluminum alloy target are built to study the dynamic response and damage characteristic of aircraft envelope when subjected by bird strike. …”
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