Insights through Modal Minimal Models for Analysis of Linear and Nonlinear Dynamic Problems by Andreas Hohl, Vincent Kulke, Georg-Peter Ostermeyer

“…Dynamic analysis of three-dimensional structures is common practice in industry to optimize products and in research to gain insights on the influence of parameters. …”
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Reflections of linearly polarized electromagnetic waves from a multilayer periodic mirror by D. Kh. Nurligareev, I. A. Nedospasov, K. Yu. Kharitonova

“…The purpose of the article is to carry out a theoretical and experimental study of the angular reflection spectrum of linearly polarized electromagnetic waves from a multilayer periodic mirror on a transparent substrate to exact analytical expressions for reflection and transmission coefficients generalizing the cases of incidence of plane transverse electric (TE) and transverse magnetic (TM) modes on limited periodically structured media with a stepped refractive index profile.Methods. …”
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Early Language Impairment as an Integral Part of the Cognitive Phenotype in Huntington's Disease by Arnau Puig‐Davi, Carla Franch‐Marti, Iñigo Ruiz‐Barrio, Frederic Sampedro, Jesus Perez‐Perez, Jordi A. Matias‐Guiu, Fernando Cuetos, Gonzalo Olmedo‐Saura, Laura Perez‐Carasol, Andrea Horta‐Barba, Ignacio Aracil‐Bolaños, Javier Pagonabarraga, Jaime Kulisevsky, Saul Martinez‐Horta

“…In‐depth study of linguistic skills and the role of extrastriatal structures in HD is scarce. This study aimed to explore the profile of language compromise in HD and identify the structural neuroimaging correlates. …”
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Agricultural structure management based on water–energy–food and carbon sink scenarios in typical fuel ethanol raw material planting areas—a case study of the Hulan River Basin, No... by Guannan Cui, Guannan Cui, Guannan Cui, Haitao Wang, Haitao Wang, Haitao Wang, Xiaofei Li, Xiaofei Li, Xiaofei Li, Wenchao Li, Wenchao Li, Wenchao Li, Huijie Li, Liming Dong, Liming Dong, Liming Dong

“…The study projects an environmentally and economically sustainable structure for the cultivation of fuel ethanol raw materials using the CLUE-S model and multiple linear programming. …”
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Development of a Numerical Model for an Expanding Tube with Linear Explosive Using AUTODYN by Mijin Choi, Jung-Ryul Lee, Cheol-Won Kong

“…Pyrotechnic devices have been employed in satellite launch vehicle missions, generally for the separation of structural subsystems such as stage and satellite separation. …”
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Efficient knowledge graph to text powered by LLGM: linear latent graph model by Xiaokang Zhao, Yao Zheng, Yubo Shan, Jingyuan Li, Kun Zhang, Yuanzhuo Wang

“…LLGM’s core innovations are three-fold: (1) a Multi-head Statistical Attention (MSA) mechanism that achieves linear O(N) complexity by replacing pairwise token interactions with efficient statistical approximations, drastically reducing the primary computational bottleneck; (2) a Graph Latent Self-Attention (GLSA) module that efficiently encodes explicit graph structures using dimension-reduced intermediate representations, preserving relational fidelity with fewer parameters; and (3) a Graph Periodicity Projector (GPP) that optimizes feed-forward networks by decomposing representations into periodic and non-periodic components, adeptly capturing both regular and unique graph patterns. …”
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Linear pyranocoumarins are potential dazzling dancers between nature, chemistry, and clinical application by Marwa Mohammed Alshaher, Yasser Fakri Mustafa

“…We also looked at how N-PYCs work, how their structure affects their activity, and their therapeutic potential. …”
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Decoding phospho-regulation and flanking regions in autophagy-associated short linear motifs by Mattia Utichi, Oana N. Antonescu, Valentina Sora, Henri-Baptiste Marjault, Matteo Tiberti, Emiliano Maiani, Matteo Lambrughi, Elena Papaleo

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Linear Time Train Contraction Minor Labeling for Railway Line Capacity Analysis by Qinglun Zhong, Ruihua Xu

“…Abstract When no more than one train is feasibly contained in the separation headway times of two other trains, a triangular gap problem-based method is used to compute the consumed capacity in linear time. This is a strong condition limiting its applicability, while real-world operations often feature mixed traffic of various speeds, creating more complex structures beyond the characterization of a triangular gap. …”
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Non-linear bi-algebraic curves and surfaces in moduli spaces of Abelian differentials by Deroin, Bertrand, Matheus, Carlos

“…The strata of the moduli spaces of Abelian differentials are non-homogenous spaces carrying natural bi-algebraic structures. Partly inspired by the case of homogenous spaces carrying bi-algebraic structures (such as torii, Abelian varieties and Shimura varieties), Klingler and Lerer recently showed that any bi-algebraic curve in a stratum of the moduli space of Abelian differentials is linear provided that the so-called condition $(\star )$ is fulfilled.In this note, we construct a non-linear bi-algebraic curve, resp. surface, of Abelian differentials of genus $7$, resp. $10$.…”
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Features of Accounting for Geometric and Physical Nonlinearities in Long-Span Pneumatic Membrane Systems by A. Yu. Kim, S. V. Polnikov, M. F. Amoyan

Subjects: “…non-linear building mechanics…”
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The Thinking Process of Students Using Trial and Error Strategies in Generalizing Linear Patterns by Yayan Eryk Setiawan

“… Patterns generalization learning at the junior high school is more emphasis on the generalization of linear patterns. One problem in generalizing linear patterns is that students do not know the process of using trial and error strategies to generalize linear patterns. …”
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Adsorption of Asymmetric and Linear Hazardous Gases on Graphene Oxides: Density Functional Study by Yongju Kwon, Taeyang Kim, Jaemyeong Choi, Sangeon Lee, Sungmin Cha, Soonchul Kwon

“…However, from the differences in the phases, the linear gases stably interacted with a defect-free, porous and flat structure like with π–π interactions. …”
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Multiple-Input Multiple-Output (MIMO) Linear Systems Extreme Inputs/Outputs by David O. Smallwood

“…A linear structure is excited at multiple points with a stationary normal random process. …”
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Solution of applied one-dimensional linear boundary-value problems with automatic precision by A. V. Korovaytsev, E. A. Korovaytseva, V. A. Lomovskoy

“…Possible basic types of applied one-dimensional linear boundary problems in problems of chemical kinetics, structures strength, aerohydroelasticity, and wave processes in continuous media are analyzed. …”
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Delay-dependent robust control for uncertain Linear systems with distributed and multiple delays by Salman Baroumand, Bita Labibi

“…In this paper by introducing a new Lyapunov functional, the stability condition is extended to structured uncertain neutral systems. so new ( Descriptor ) model transformation and a corresponding Lyapunov functional are introduced for stability analysis of systems with discrete and distributed multiple delay.Sufficient conditions are given in terms of linear matrix inequalities ( LMI ) and refer to neutral systems with discrete and distributed delays. …”
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An efficient quantum algorithm for ab initio approximations of non-linear response functions by Tyler Kharazi, Torin F. Stetina, Liwen Ko, Guang Hao Low, K. Birgitta Whaley

“…Abstract We develop and analyze a fault-tolerant quantum algorithm for non-linear response properties of molecular and condensed phase systems. …”
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Recent Advances in Arc-linear Motors for Direct-drive Applications: A Review by Zhenbao Pan, Jiwen Zhao, Shuhua Fang, Jinhao Cai, Qiangren Xu

“…The arc-linear motor (ALM) is a new type of special motor derived from the linear motor, which has the merits of high torque, compact structure and fast dynamic response. …”
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A New Formula of Impact Stiffness in Linear Viscoelastic Model for Pounding Simulation by Xiuli Xu, Xiang Xu, Weiqing Liu, Ding Zhou

“…The phenomenon of earthquake-induced structural pounding was extensively studied by some researchers using different models for the impact force. …”
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Analysis of Electrical and Mechanical Properties of Self-Sensing Cement Composite with Carbon Microfiber by Stephanie Cucolo Marçula, João Batista Lamari Palma e Silva, Camila Tiemi Ozaki e Silva, Rosa Cristina Cecche Lintz, Luísa Andréia Gachet

“…Self-sensing cementitious composites have attracted significant attention in Structural Health Monitoring (SHM) due to their semiconductive and piezoresistive properties, achieved through incorporations conductive fillers such as graphite powder and carbon microfibers. …”
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