An Analytical Study of the Nonsinglet Spin Structure Function g1NS(x,t) Up to NLO in the DGLAP Approach at Small x by Neelakshi N. K. Borah, D. K. Choudhury

“…A next-to-leading order QCD calculation of nonsinglet spin structure function g1NS(x,t) at small x is presented using the analytical methods: Lagrange’s method and method of characteristics. …”
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L’insularità, l’isolamento e l’autonomia alimentare degli ikoots (Oaxaca, Messico) fra storia, flussi oceanici e catene globali di depauperamento by Cristiano Tallè

“…The huave/ikoots live on a barrier island between the Pacific Ocean and a vast coastal lagoon system, in the Isthmus of Tehuantepec (Oaxaca, Mexico). …”
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Solvability of Fractional Differential Inclusion with a Generalized Caputo Derivative by Tamer Nabil

“…Solvability of the problem is established by means of the Leray-Schauder’s alternative approach with the help of the Lagrange mean-value classical theorem. Finally, some examples are given to delineate the efficient of theoretical results.…”
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Stability analysis of linear multistep methods for delay differential equations by V. L. Bakke, Z. Jackiewicz

“…It is known that the solution of this equation is bounded if and only if |a|<−b and we examine whether this property is inherited by multistep methods with Lagrange interpolation and by parametrized Adams methods.…”
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Modeling the impact of extreme weather events and future climate on the radiologically contaminated sites of Enewetak Atoll by Lakshitha Premathilake, Saikat Ghosh, Rajiv Prasad, Sourav Taraphdar, Taiping Wang, Tarang Khangaonkar, Bruce Napier, Tracy Ikenberry, Lai-yung Leung

“…Abstract Enewetak Atoll underwent 43 historical nuclear tests from 1948 to 1958, including the first hydrogen bomb test, resulting in a substantial nuclear material fallout contaminating the Atoll and the lagoon waters. The radionuclide fallout material deposited in lagoon sediments and soil on the islands will remain for decades to come. …”
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Screening of <em>FecLL</em> prolific allele of the <em>B4GALNT2</em> gene in Algerian sheep populations by Assia Hadjazi, Fatima Zahra Belharfi, Fatima Zohra Mahammi, Stéphane Fabre, Semir Bechir Suheil Gaouar, Nacera Tabet-Aoul

“…The gene, FecL/B4GALNT2 (beta-1,4-N-acetyl-galactosaminyl transferase 2) and its prolific allele FecLL, which segregate in French Lacaune sheep and some local sheep breeds in Morocco and Tunisia, were found to influence ovarian function. …”
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He's Variational Iteration Method for Solving Fractional Riccati Differential Equation by H. Jafari, H. Tajadodi

“…This method is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. …”
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A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations by Fatima A. Alawad, Eltayeb A. Yousif, Arbab I. Arbab

“…New techniques are used to overcome the difficulties arising in identifying the general Lagrange multiplier. As a special case, the obtained solutions reduce to the solutions of standard telegraph equations of the integer orders.…”
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Lagrangian Duality for Multiobjective Programming Problems in Lexicographic Order by X. F. Hu, L. N. Wang

“…We establish some duality theorems and present several existence results of a Lagrange multiplier and a lexicographic saddle point theorem. …”
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The Lagrangian and Hamiltonian for the Two-Dimensional Mathews-Lakshmanan Oscillator by Wang Guangbao, Ding Guangtao

“…The purpose of this paper is to illustrate the theory and methods of analytical mechanics that can be effectively applied to the research of some nonlinear nonconservative systems through the case study of two-dimensionally coupled Mathews-Lakshmanan oscillator (abbreviated as M-L oscillator). (1) According to the inverse problem method of Lagrangian mechanics, the Lagrangian and Hamiltonian function in the form of rectangular coordinates of the two-dimensional M-L oscillator is directly constructed from an integral of the two-dimensional M-L oscillators. (2) The Lagrange and Hamiltonian function in the form of polar coordinate was rewritten by using coordinate transformation. (3) By introducing the vector form variables, the two-dimensional M-L oscillator motion differential equation, the first integral, and the Lagrange function are written. …”
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A Variational Method for Multivalued Boundary Value Problems by Droh Arsène Béhi, Assohoun Adjé

“…We obtain the existence of solution when the corresponding Euler–Lagrange functional is coercive.…”
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A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations by Fenghui Huang

“…The model solution is discretized in time and space with a spectral expansion of Lagrange interpolation polynomial. Numerical results demonstrate the spectral accuracy and efficiency of the collocation spectral method. …”
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He’s Variational Iteration Method for Nonlinear Jerk Equations: Simple but Effective by Behrouz Raftari

“…This method is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. …”
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Bezier Curves Method for Fourth-Order Integrodifferential Equations by F. Ghomanjani, A. V. Kamyad, A. Kılıçman

“…These BVPs result from the Euler-Lagrange equations which are the necessary conditions of the extremums of problems in calculus of variation. …”
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Multimodel Combination Bathymetry Inversion Approach Based on Geomorphic Segmentation in Coral Reef Habitats Using ICESat-2 and Multispectral Satellite Images by Xiuling Zuo, Juncan Teng, Fenzhen Su, Zhengxian Duan, Kefu Yu

“…Results showed that the multiple ratios model was optimal for the reef flat, shallow lagoon, and patch reef zones. The binomial model was optimal for the reef slope and deep lagoon zones. …”
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Du teikei à l’AMAP, un modèle acculturé by Jean Lagane

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Characteristics and Classified Governance Strategies of Medium and Small Estuaries in Guangdong by CHEN Ying, WANG Shijun, HE Yong

“…This paper adopted the methods of field investigation,remote sensing analysis,and sedimentary dynamic analysis,summarized the characteristics of medium and small estuaries in Guangdong Province,and analyzed the main problems in the ecological governance of the estuaries.In addition,the paper studied typical experience in governing medium and small estuaries both in China and abroad and proposed classified governance strategies for medium and small estuaries.The results show that:①Medium and small estuaries in Guangdong Province are mainly divided into sandbar-lagoon estuaries,tidal channel estuaries,and drowned valley estuaries.Specifically,sandbar-lagoon estuaries are widely distributed.Tidal channel estuaries are mainly distributed in the west of Guangdong Province,and drowned valley estuaries can be found in the Leizhou Peninsula,the east coast of Shenzhen,and the east of Huizhou.②Medium and small estuaries face some problems,such as imperfect flood control systems,fragmented management,ineffective regional ecosystem service functions,and defective policies and systems for the construction of Lingnan water culture and the excavation,protection,and utilization of water heritage.③The paper proposed overall strategies of coordinated land and maritime development and systematic governance for medium and small estuaries as well as classified governance strategies for different estuaries and rivers,and the research results can provide some reference for the governance of medium and small estuaries in Guangdong Province.…”
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Toxocara (Nematoda: Ascaridida) and Other Soil-Transmitted Helminth Eggs Contaminating Soils in Selected Urban and Rural Areas in the Philippines by Vachel Gay V. Paller, Emmanuel Ryan C. de Chavez

“…The extent of contamination of soils with soil transmitted helminthes (STH) eggs, particularly Toxocara, was determined in selected urban and rural towns of Laguna, Philippines. Soil samples were collected from public schools, house yards, and empty lots. …”
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Analysis of Numerical Measure and Numerical Integration Based on Measure by Yinkun Wang, Jianshu Luo, Xiangling Chen

“…We present a convergence analysis for a general numerical method to estimate measure function. By combining Lagrange interpolation, we propose a specific method for approximating the measure function and analyze the convergence order. …”
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Nematic Liquid Crystal Locking Menisci by Milan Svetec, Mitja Slavinec

“…The resulting Euler-Lagrange differential equation is solved numerically. …”
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