V2X collaborative caching and resource allocation in MEC-based IoV by Fangwei LI, Haibo ZHANG, Zixin WANG

“…Aiming at the problem that with the rapidly increasing of multimedia services in IoV, a large amount of data change has bought a heavy burden on the mobile networks, a V2X collaborative caching and resource allocation framework in MEC-based IoV was constructed.A V2X cooperative caching and resource allocation mechanism was proposed to achieve the effective allocation of computing resources, caching resources, and communication resources in the network.The graph coloring model was used to allocate channels to the offloading users.Lagrange multiplier method was used to allocate power and computing resources.The simulation results show that the proposed mechanism can effectively reduce system overhead and reduce task completion delay under different system parameters.…”
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Manual del viajero en México (1858), de Marcos Arróniz. Apuntes en torno a un narrador costumbrista by Gerardo Francisco Bobadilla Encinas

“…Una de las grandes lagunas de la literatura mexicana del siglo XIX está referida al estudio y conocimiento de la segunda generación romántica y de las características de la literatura costumbrista escrita entre 1836 y 1855. …”
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Vibration Characteristic Analysis of Differential Reducer Gear Pair Considering Random Manufacturing Error by Lingsong Fan, Aihua Ren, Zhangdong Sun, Nan Zhang

“…In order to study the influence of random manufacturing error on the vibration characteristics of differential gear drive system of a new energy vehicle，the Lagrange energy method is used to establish the bending torsion shaft coupling vibration dynamic model of differential gear drive under multi-source time-varying excitation. …”
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Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method by Indranil Ghosh, M. S. H. Chowdhury, Suazlan Mt Aznam, M. M. Rashid

“…The main feature of the NIM is that the procedure is very simple, and it does not need to calculate any special type of polynomial or multipliers such as Adomian polynomials and Lagrange’s multipliers. Comparisons with the Adomian decomposition method (ADM) and the well-known purely numerical fourth-order Runge-Kutta method (RK4) suggest that the NIM is a powerful alternative for differential equations providing more realistic series solutions that converge very rapidly in real physical problems.…”
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Dynamic Modeling and Parameters Optimization of Large Vibrating Screen with Full Degree of Freedom by Xiaodong Yang, Jida Wu, Haishen Jiang, Wenqiang Qiu, Chusheng Liu

“…Considering the influence of coupling motion of each degree of freedom, the dynamic model with six degrees of freedom (6 DOFs) of the vibrating screen is established based on the Lagrange method, and modal parameters (natural frequencies and modes of vibration) of the rigid body are obtained. …”
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Restoring Poissonian Images by a Combined First-Order and Second-Order Variation Approach by Le Jiang, Jin Huang, Xiao-Guang Lv, Jun Liu

“…Moreover, we employ a gradient descent method to solve the associated Euler-Lagrange equation. Numerical results demonstrate the validity and efficiency of the proposed method for Poisson noise removal problem.…”
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Late Pennsylvanian vegetation dynamics of the Donets Basin, Ukraine by Nataliya Boyarina

“…The new plant communities of wetland calamitalean-fern-pteridosperm woodlands on coastal lowlands and seasonally dry fern-pteridosperm woodlands on lagoon coasts in the late Gzhelian were formed according to the migration progressive model of phytocoenogenesis due to a migration of plants from reduced river landscapes to coastal lowlands and lagoon coasts in the period of the further sea level drop with low-amplitude sea level oscillations and an increased drying during the continued late Gzhelian glacial interval. …”
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Catastrophes au Japon et complexité des relations homme/nature. De l’apport de la médiance… by Jean Lagane

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Research on Modular Construction of Dynamic Models for Wall-climbing Robots by Lü Guizhi, Wang Peng, Li Guohong, Lu Feng, Dai Shenglong

“…Based on the basic modeling ideas of analytical mechanics, combined with the Lagrange mechanics method and the Udwadia-Phohomsiri equation, the body part and the driving part of the wall-climbing robot were separately modeled. …”
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Design method of energy efficiency optimization in PLC-RF wireless transmission networks by Yueyu JIANG, Haoxin CHENG, Kang WANG, Wenjun DAI, Xiaoyu LIU

“…An energy efficiency optimization transmission scheme using angular information-based channel state information (AI-CSI) was proposed for indoor communications, which integrated the power line communication (PLC) with radio frequency (RF) wireless communication.Specifically, by considering that the Wi-Fi wireless network and the PLC network were the primary and secondary networks, an optimization problem was established to maximize the total energy efficiency of the secondary network.Then, in order to solve the problem, the beam forming weight vector was obtained by using zero-forcing method based on AI-CSI, and an optimization algorithm joint Dinkelbach with Lagrange multiplier was further presented to achieve the optimal power allocation.Finally, computer simulations were given to verify the effectiveness and superiority of the proposed scheme.Besides, the influence of key parameters such as the number of employed antennas and served users was also analyzed.…”
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Tension Distribution and Dynamics Analysis of a Cable-driven Humanoid Wrist by Gui Heli, Wang Zhaodong, Cao Yi

“…Firstly, ignoring the gravity property of the cable, the standard dynamics equation of the humanoid-wrist joint is built by using Lagrange method. At the same time, taking into account the redundant actuation and single-direction force for the cables, the cable tension distribution optimization model is established, and the cable tension distribution is obtained by genetic algorithm. …”
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Edge computing offloading policies and resource allocation considering system fairness in trusted environments by Shouyi YANG, Fukang LI, Ruimin REN

“…Considering the fairness problem in edge computing in an unreliable trust environment, the offloading decision and resource allocation problem of edge computing was studied for a multi-user multi-server scenario.Based on the proposed real-time trust model, system fairness was defined from the perspective of user satisfaction, a joint optimization model considering trust and fairness was established, and a trust-based task offloading and resource allocation (TOA) algorithm was proposed on this basis.The original NP-hard problem was converted into multiple deterministic optimization subproblems, the offloading strategy was determined based on the backtracking algorithm, and the optimization of resource allocation was accomplished by using the Lagrange multiplier method, the convex optimization toolbox, and the bifurcated iterative search method, so as to achieve system fairness and enhance user satisfaction.Simulation experimental results show that the proposed algorithm outperforms other benchmark algorithms.…”
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A novel approach to the convergence analysis of chaotic dynamics in fractional order Chua’s attractor model employing fixed points by Mudasir Younis, Haroon Ahmad, Mahpeyker Ozturk, Deepak Singh

“…This article uses a fixed point method to connect with Chua’s attractor model, incorporating the Atangana–Baleanu derivative using a two-step Lagrange polynomial. We introduce novel fixed point theorems using some special contractions followed by graphical representations of the convergence behavior of the iterative process. …”
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Research on maximizing energy efficiency for relay-aided D2D communication by Xue WANG, Tao JIN, Zhihong QIAN, Liangshuai HU, Xin WANG

“…In order to optimize the energy efficiency for relay-aided D2D communication underlaying cellular network,an algorithm was proposed while guaranteeing the quality of service of D2D users and cellular users.Firstly,the problem was formulated as a mixed integer nonlinear fractional programming problem,with the goal of maximizing the energy efficiency of all D2D users.Then,the maximizing energy efficiency problem was divided into three sub-problems,such as power allocation,relay selection and subcarrier assignment.Finally,the power allocation problem,the relay selection problem and the subcarrier assignment problem were addressed by Dinkelbach method and Lagrange multiplier method,Q-learning and Hungarian algorithm,respectively.The simulation results show that the proposed algorithm can improve the total energy efficiency of D2D users compared with existing algorithms.…”
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Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition by Qiansheng Tang, Chaofeng Li, Bangchun Wen

“…Based on Sanders’ shell theory, Lagrange equation was utilized to derive the nonlinear governing equations of cylindrical shell. …”
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Kinematics Control of 3-DOF Under-constrained Parallel Robot with Variable Cable Mast Angles by Zhao Tao, Ding Xiaojun, Zhao Hu, Zheng Yi, Ma Jianrui

“…The inverse kinematics model of the robot is established by using the vector closed-loop principle. According to the Lagrange equation, the dynamics model of the robot is established. …”
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Coordinated Volt/VAR Control in Distribution Networks Considering Demand Response via Safe Deep Reinforcement Learning by Dong Hua, Fei Peng, Suisheng Liu, Qinglin Lin, Jiahui Fan, Qian Li

“…Next, a safe deep reinforcement learning (SDRL) algorithm is proposed, incorporating a novel Lagrange multiplier update mechanism to ensure that the control policies adhere to safety constraints during the learning process. …”
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Freshwater Turtles of Belize by Venetia Briggs, Lauren Watine, Dustin Smith, Robin Bijlani, Rebecca Harvey, William Giuliano, Frank Mazzotti

“…Freshwater turtles live in rivers, creeks, and lagoons, and build their nests on the banks. They eat a variety of plants, aquatic vegetation, and fruits. …”
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Robust interference alignment algorithm for cognitive MIMO interference network by Shi-lei ZHU, You ZHOU, Xiu-kun REN, Han-ying HU

“…A robust interference alignment algorithm was proposed for underlay cognitive MIMO interference network with imperfect channel-state information (CSI).Firstly,imperfect CSI was characterized by Euclidean ball-shaped uncer-tainty,based on which the optimization model of transmitting precoding and receiving interference subspace matrix was constructed with aimed of minimizing interference leak Then,primary users' interference temperature constraint un-der the worst-case condition was derived according to the matrix norm inequality.Finally,alternate iteration expressions of transceiver matrixes were obtained exploiting Lagrange partial dual-decomposition theory and sub-gradient update method.Moreover,the proposed algorithm's application condition and degrees of freedom range were theoretically ana-lyzed.Simulation results show that the proposed algor m is robust and its secondary users' network performance out-performs existing algorithms'.…”
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The moderating role of strategy and environment on the relationship between corporate liquidity and investment: evidence from panel data by Celísia Baptista, Fernanda Matias, Patrícia Oom do Valle

“…The estimated model was validated through the Breusch-Pagan/Cook-Weisberg and Wald Modified tests (heteroscedasticity tests), Lagrange Multiplier (industry random effects test, using the two-digit National Classification of Economic Activities), Hausman robust test (fixed effects model vs. random effects model test) and likelihood-ratio test (joint effect of industry and time test). …”
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