Linear Multivariate Decision Trees for Fast QTMT Partitioning in VVC by Jose N. Filipe, Luis M. N. Tavora, Sergio M. M. Faria, Antonio Navarro, Pedro A. A. Assuncao

“…The demand for ultra-high definition (UHD) content has led to the development of advanced compression tools to enhance the efficiency of standard codecs. One such tool is the Quaternary Tree and Multi-Type Tree (QTMT) used in the Versatile Video Coding (VVC), which significantly improves coding efficiency over previous standards, but introduces substantially higher computational complexity. …”
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An Effective Algorithm for Globally Solving Sum of Linear Ratios Problems by Hongwei Jiao, Lei Cai, Zhisong Hou, Chunyang Bai

“…Fourthly, based on out space partition, by combining bounding technique and pruning technique, a new out space branch-and-bound algorithm for globally solving the sum of linear ratios problems (SLRP) is designed. Finally, numerical experimental results are presented to demonstrate both computational efficiency and solution quality of the proposed algorithm.…”
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Classical simulability of constant-depth linear-optical circuits with noise by Changhun Oh

“…Using this correspondence and percolation theory, we prove that for constant-depth linear-optical circuits with single photons, there is a threshold of loss (noise) rate above which the linear-optical systems can be decomposed into smaller systems with high probability, which enables us to simulate the systems efficiently. …”
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Analysis and Optimization Design of Moving Magnet Linear Oscillating Motors by Minghu Yu, Yuqiu Zhang, Jiekun Lin, Peng Zhang

“…Permanent Magnet Linear Oscillating Motors (PMLOMs) are popular in micro-positioning systems, biomedical devices, and refrigeration compressors due to their simple structure, high efficiency, rapid response, and quiet operation. …”
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Numerical Techniques for Solving Linear Volterra Fractional Integral Equation by Safa’ Hamdan, Naji Qatanani, Adnan Daraghmeh

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Security against differential and linear cryptanalysis for general SPT models by Feng-mei LIU, Lian-jun CHEN, Chun-xiang LI, Yan-mei LI, Guo-shuang ZHANG

“…To use SP network in stream ciphers safely and efficiently,the ability against differential and linear cryptanalysis of SPT models was studied,where S and T denote different layers for substitution,in which compression could be achieved,and P denotes the layer for permutation.The upper bound of the maximum differentia lity was given when the branch number of P was optimal,and the upper bound of the maximum linear approximation probability and the maximum linear hull probability are given when the branch number of P was optimal and when S and T were balanced.As a consequence,the problem about evaluating the security against differential and linear cryptanalysis for general SPT models was resolved partially.…”
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Gradient-Based Optimization of Linear Elasticity Mesh Deformation Quality by Jinxin Zhou, Xiaojun Wu, Bing Chen, Jing Yu, Shenshen Liu, Hongyin Jia

“…Mesh deformation based on the linear elasticity method is crucial in aerospace engineering research. …”
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Fast and precise multi-site mutagenesis on linear DNA fragments by Jie Zhang, Youhui Yang, Zhaoguan Wang, Qian Liu, Peixian Li, Shaohua Kang, Hao Qi

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Beyond linearity: a critical review of the finance–growth nexus by Abdullah Mohammad Ghazi Al Khatib

“…This critical review synthesizes over a century of research on the finance–growth nexus, arguing that this relationship is not simply linear but a complex, multifaceted phenomenon contingent on institutional quality, non-linear dynamics and technological innovations – a thesis substantiated by the extensive literature reviewed. …”
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Some Characteristics of Air Distribution at Application of Linear Crevice Diffuser by Yaroslav Chemerynskyi, Orest Voznyak

“…With an innovative design with multiple parallel air outlets, louvered linear diffusers create unique airflows that actively interact with each other, contributing to turbulence and ensuring even air distribution in the room. …”
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An Innovative Approach to Solve Fuzzy Linear Fractional Programming Problems by Karthick Sivakumar, Saraswathi Appasamy, Dragan Pamucar

“…While most researchers solve FLFPPs using the ranking function method, this method reduces the efficiency of the fuzzy problem. Linear fractional problems with inequality constraints sometimes do not have an optimal solution by using the LU decomposition method. …”
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Broadband Low-RCS Linearly Polarized Metasurface–Based Antenna by Jinhong Luo, Yongtao Jia, Gang Shi, Zhongxun Liu, Jiahao Zhang, Ying Liu

“…In this paper, a broadband linearly polarized (LP) metasurface (MS)–based antenna with low radar cross section (RCS) over a wideband is proposed. …”
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Explicit GPC Control Applied to an Approximated Linearized Crane System by Daniel Guerra Vale da Fonseca, André Felipe O. de A. Dantas, Carlos Eduardo Trabuco Dórea, André Laurindo Maitelli

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An Innovative Linear Wireless Sensor Network Reliability Evaluation Algorithm by Tao Ma, Huidong Guo, Xin Li

“…Sensor nodes are distributed linearly when monitoring linear structures, such as railway bridges, forming what is known as a Linear Wireless Sensor Network (LWSN). …”
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Linear mixed effects models under inequality constraints with applications. by Laura Farnan, Anastasia Ivanova, Shyamal D Peddada

“…Such methods may not only result in a loss of power and efficiency in costs of experimentation but also may result poor interpretation of the data. …”
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Linear magnet with fluid-solid-switchable cells for flexible devices by Qiyu Deng, Hengjia Zhu, Zhipeng Zhao, Hegeng Li, Ling Yang, Xinya Wu, Yiyuan Zhang, Peng Yu, Xin Tang, Wei Li, Xiaobo Yin, Liqiu Wang

“…Local magnetic modulation, including remagnetization or reassembly, typically requires high fields and temperatures to overcome the coercivity and stringent conditions while suffering from low assembly efficiency or poor spatial resolution. Here, we report a linear magnet composed of a hydrogel (alginate) matrix and precisely discrete phase-change-material (PCM, eicosane) cells containing micro-magnetic particles (NdFeB, ~5 µm). …”
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Parallel Primal-Dual Method with Linearization for Structured Convex Optimization by Xiayang Zhang, Weiye Tang, Jiayue Wang, Shiyu Zhang, Kangqun Zhang

“…By departing from traditional primal-dual methods that necessitate strict parameter constraints, the PPD3 algorithm removes reliance on the spectral norm of the linear operator, significantly reducing the computational burden associated with its evaluation. …”
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Newly Formulated General Solutions for the Navier Equation in Linear Elasticity by Chein-Shan Liu, Chung-Lun Kuo

“…To explore the efficiency and accuracy of the proposed MFS variant methods, some examples are tested.…”
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Optimal Linear Precoding Under Realistic Satellite Communications Scenarios by Geoffrey Eappen, Jorge Luis Gonzalez, Vibhum Singh, Rakesh Palisetty, Alireza Haqiqtnejad, Liz Martinez Marrero, Jevgenij Krivochiza, Jorge Querol, Nicola Maturo, Juan Carlos Merlano Duncan, Eva Lagunas, Stefano Andrenacci, Symeon Chatzinotas

“…Thus, optimal linear precoding brings gains in terms of enhanced signal-to-noise-and-interference ratio, and increased system throughput and spectral efficiency.…”
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An Extended Analysis of the Correlation Extraction Algorithm in the Context of Linear Cryptanalysis by Christoph Graebnitz, Valentin Pickel, Holger Eble, Frank Morgner, Hannes Hattenbach, Marian Margraf

“…Neglecting the unresolved issue of efficiently checking the property of linear approximations measured by the CEA, our results indicate that the CEA can support the linear cryptanalysis of vectorial Boolean functions with relatively few (e.g., <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>≤</mo><mn>32</mn></mrow></semantics></math></inline-formula>) output bits.…”
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