Optimal Control for a Family of Systems in Novel State Derivative Space Form with Experiment in a Double Inverted Pendulum System by Yuan-Wei Tseng, Jer-Guang Hsieh

“…It turns out that novel differential Lagrange multipliers must be used to adjoin SDS system constraints (namely, the dynamical equations of the control system) to the integrand of the original cost functional which is a function of state derivatives. …”
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Normal wiggly probabilistic hesitant fuzzy-based TODIM approach for optimal solid waste disposal method selection by Jawad Ali, Dragan Pamucar

“…Furthermore, for scenarios where the weights of criteria are partially or completely unknown, two optimization models are established to determine these weights using the maximizing deviation approach and the Lagrange function technique, respectively. Next, the traditional TODIM approach is extended to develop the NWPHFT for addressing MCDM problems by utilizing the proposed distance measures and criteria weight determination models. …”
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Investigation of Dynamic Load Sharing Behavior for Herringbone Planetary Gears considering Multicoupling Manufacturing Errors by Fei Ren, Jinchen Ji, Guofu Luo, Shaofu Zhao, Liya Zhao, Guiqin Shi, Xiaoling Wu, Ning Wang

“…In this study, based on the lumped-parameter theory and the Lagrange approach, a novel and generalized bending-torsional-axial coupled dynamic model for analyzing the load sharing behavior in the herringbone planetary gear train (HPGT) is presented by taking into account the actual structure of herringbone gears, manufacturing errors, time-dependent meshing stiffness, bearing deflections, and gyroscopic effects. …”
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Joint user association and dynamic resource allocation algorithm for LEO-RAN slicing scenarios by Geng CHEN, Zhiwei XING, Fei SHEN, Qingtian ZENG

“…A joint user association and dynamic resource allocation algorithm was proposed for the slicing scenario of ultra dense low earth orbit-radio access network (LEO-RAN) in order to address the efficient utilization of resources of the integrated terrestrial-satellite network for 6G .Considering the constraints of the minimum rate, maximum delay and resource proportion of different slices, a joint optimization problem of user association and resource allocation was established to maximize the weighted sum of the SE and the differentiated SLA of different slices as the optimization objective.A network slicing algorithm based on multi-agent deep deterministic policy gradient (MADDPG) was proposed to determine the proportion of slicing resources, a Lagrange dual based user association algorithm was proposed to determine the optimal user association policy and the resources were allocated to users by using the round-robin scheduling mechanism.The simulation results show that the proposed algorithm can effectively improve SE while satisfying the differentiated SLA of different slices.Compared with MADDPG-RA, MATD3-LG, MATD3-RA, MASAC-LG and MASAC-RA algorithms, the system utility of the proposed algorithm is improved by 2.0%, 2.3%, 5.7%, 8.7% and 9.4%, respectively.…”
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Osteology and functional morphology of a transitional pterosaur Dearc sgiathanach from the Middle Jurassic (Bathonian) of Scotland by Natalia Jagielska, Michael O’Sullivan, Ian B. Butler, Thomas J. Challands, Gregory F. Funston, Dugald Ross, Amelia Penny, Stephen L. Brusatte

“…The osteology and myology of Dearc are indicative of a large predator that flew and hunted above lagoons and nearshore environments of the Middle Jurassic.…”
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Numerical and Experimental Investigations on Dynamic Response of Hydraulic Cylinder with 3D Spatial Joints considering Radial and Axial Clearances by Ke Chen, Guojun Zhang, Haishuo Wang, Rui Wu, Hongmei Zheng, Shunhua Chen

“…Moreover, the simulation model considered the effective bulk modulus of the hydraulic oil and applied the Lagrange multiplier method. Subsequently, an experiment was conducted to verify the simulation results. …”
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Analysis of Gear Dynamic Characteristic of Oil Churning Resistance under Stochastic Disturbance by Wenyu Liu, Yongguo Sun, Guangbin Yu, Valerii Tupolev, Wei Liu

“…Thus，considering the backlash，time-varying mesh stiffness，transmission error，stochastic disturbances，oil churning resistance and other nonlinear factors， compares and analyzes the influence of oil churning resistance upon dynamic characteristics of the gear system under stochastic disturbance by establishing a nonlinear dynamic model of straight gears with 6 degrees of freedom and using by Lagrange method using the bifurcation diagram，phase diagram，Poincarè diagram，time-history graph and dynamic load factors （DLF） obtained by the R-K method. …”
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SOR-Like New Iterative Method for Solving the Epidemic Model and the Prey and Predator Problem by Atika Radid, Karim Rhofir

“…The results, for different values of ω, show that we found some known methods and our method compared to methods using the calculation of special polynomials and derivatives like the Adomian decomposition method (ADM), the calculation of the Lagrange multiplier as in the variational iterative method (VIM), or the construction of a homotopy as in the homotopy perturbation method (HPM) has several advantages, such as very effective and very simple to implement. …”
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PastorC-Tambo: a simplified model to assess carbon balance of dairy farms by G. A. Zurbriggen, A.M. Piazza, S. Montico, K.E. García, J.R. Galli

“…El almacenaje de efluentes en lagunas anaeróbicas presentó el balance de C más desfavorable, mientras que mejoró con la inclusión de separación de sólidos y reutilización agronómica. …”
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Assessment of Environmental Hazards and Vulnerability of The Rud–E-Shur, Rud-E-Shirin and Rud-E-Minab International Wetland Using the DPSIR Model by Hengameh Safa Eisini, Saber Ghasemi, Afshin Danehkar, Mohsen Dehghani Ghanateghestani, Hossein Parvaresh

“…Two factors of the transfer of wastewater from shrimp farms to the wetland and water pollution are categorized at the noteworthy category, as well as the countless traffic of vessels inside the lagoon and the creation of shrimp farm channels in the estuaries leading to the lagoon are in the category of tolerable risks, respectively, in the first to sixth priorities, which require control measures to reduce environmental risks. …”
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Travoprost Intracameral Implant in Eyes with Glaucoma or Ocular Hypertension: Early Short-Term Real-World Outcomes by Teymoorian S, Kaur J

“…Savak Teymoorian, Jasmin Kaur Harvard Eye Associates, Laguna Hills, CA, USACorrespondence: Savak Teymoorian, Harvard Eye Associates, 23961 Calle de la Magdalena, Suite 300, Laguna Hills, California, 92653, USA, Tel +1 949-951-2020, Fax +1 949-356-1660, Email steymoorian@harvardeye.comPurpose: To assess real-world efficacy and safety of standalone travoprost intracameral implant (iDose TR) implantation by a US glaucoma surgeon in patients with open-angle glaucoma (OAG) or ocular hypertension (OHT).Methods: This non-randomized, retrospective, unmasked, consecutive case series included all cases of standalone iDose TR implantation from a single US glaucoma surgeon since the product’s approval by the US Food and Drug Administration (FDA) in December 2023. …”
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Identifikasi Nyamuk Anopheles Sebagai Vektor Malaria dari Survei Larva di Kenagarian Sungai Pinang Kecamatan Koto XI Tarusan Kabupaten Pesisir Selatan by Suci Lestari, Adrial Adrial, Rosfita Rasyid

“…Tempat perindukan yaitu kolam bekas kurungan ikan, lagoon, rawa-rawa, kubangan kerbau, tambak sawah dan sungai. …”
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A Critical and Progressive Review on Maternal and Child Health Policies in India by Prity Kumari, Anand Kumar Chaudhary

“…Some programmes are near to achieving their objectives such as Jannani Suraksha Yojana (JSY), and Janani Shishu Suraksha Karyakaram (JSSK) but not at their full potential there is still some laguna in these programmes. In this direction reviewed research papers highlighted the problems in the implementation and utilisation of the programmes and suggested further steps that should be taken to fully utilise these programmes and improve maternal and child health. …”
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Tracking the Economic Benefits Generated by the Hard Clam Aquaculture Industry in Florida by Charles Adams, Leslie Sturmer, Alan Hodges

“…From a cottage industry borne of reductions in commercial wild clam harvests in the Indian River Lagoon during the late 1980s, hard clam aquaculture has now developed into an industry that is rivaled by no other aquaculture food product in Florida. …”
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Vibration–Collision Coupling Modeling in Grape Clusters for Non-Damage Harvesting Operations by Baocheng Xu, Jizhan Liu, Yucheng Jin, Kaiyu Yang, Shengyi Zhao, Yun Peng

“…The dynamic vibration–collision coupling equation of the dual-twig–berry system was derived by incorporating expressions for the viscoelastic vibration of the twigs, viscoelastic collision of the berries, and a generalized collision force (based on the Kelvin model) into the framework of the Lagrange equation. A computational-simulation method for solving this dynamic vibration–collision coupling equation was also developed. …”
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Stabilization by feedback control of a novel stochastic chaotic finance model with time-varying fractional derivatives by Seyfeddine Moualkia, Yang Liu, Jinde Cao

“…The numerical simulations are done based on the Euler–Maruyama method and with the help of Lagrange polynomial interpolation, enabling the authors to extract meaningful results from the model. …”
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Derechos fundamentales y derechos humanos en Costa Rica. Alcances particulares en relación con los derechos de las personas con VIH by Ana Elena Badilla

“…Además, la existencia de un amplio marco jurídico internacional vigente en el país sobre protección de tales derechos contribuye a llenar las lagunas que presenta la legislación nacional. Particularmente destacable ha sido el papel jugado por la citada Sala Constitucional en la defensa de los derechos humanos de las personas afectadas por el virus de inmunodeficiencia humana (VIH), en especial al garantizarles sus derechos a los medicamentos antirretrovirales. …”
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Determinants of stock return in 10 biggest market capitalization on the indonesian stock exchange by Sri Yanthy Yosepha, Kampono Imam Yulianto, Zulfitra Zulfitra, Sahroni Sahroni, Luqman Hakim

“…This is what prompted researchers to do it again using different time series and cross-sectional data. …”
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Periodic solutions for a class of perturbed sixth-order autonomous differential equations by Chems Eddine Berrehail, Amar Makhlouf

“…The averaging theory has a long history that begins with the classical work of Lagrange and Laplace. The averaging theory is used to the study of periodic solutions for second and higher order DEs. …”
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Gestion de l’eau et projet de territoire : vers une gestion intégrée du delta du Rhône by Alain Dervieux, Geneviève Jolly, Aurélien Allouche

“…These gates order the inflow and outflow of water between the sea and the Camargue to steady the hydrosalin amount in the large lagoons.  Owing to the layout of hydraulic works and to the risks due to the rise of sea level, CEDE is brought to manage the dynamics between the flow coming from the catchment area, both drainage of ground and rain and that which runs through this sluice.  …”
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