Linear optical wave energy redistribution methods for photonic signal processing by Connor Rowe, Xinyi Zhu, Benjamin Crockett, Geunweon Lim, Majid Goodarzi, Manuel Fernández, James van Howe, Hao Sun, Saket Kaushal, Afsaneh Shoeib, José Azaña

“…The techniques based on these linear optical wave energy redistribution (OWER) methods are inherently energy efficient and have significant speed and bandwidth advantages over digital signal processing. …”
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Models of Random Processes and Their Particular Application in the Optimum Linear Interpolation and Forecasting by V. A. Golovkov

“…Numerical methods show that efficiency of the optimum linear interpolation and forecasting is defined by higher derivative of random processes. …”
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19~21 GHz GaAs high linearity power amplifier MMIC by Liu Xiaoyu, Han Chenghao, Ruan Wenwu, Guo Runnan, Liu Ling, Xu Xindong, Hou Zewen, Zhuang Yuan, Yu Xuming, Tao Hongqi

“…The amplifier incorporates a cold-mode linearization circuit cascaded at the power amplifier gate to compensate for the amplifier's phase distortion characteristics, thereby enhancing linearity and efficiency. …”
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Fully plasma-based electron injector for a linear collider or XFEL by T. N. Dalichaouch, X. L. Xu, F. Li, F. S. Tsung, W. B. Mori

“…We demonstrate through high-fidelity particle-in-cell (PIC) simulations a simple approach for efficiently generating 20+ GeV electron beams with the necessary charge, energy spread, and emittance for use as an injector in a future linear collider or a next generation XFEL. …”
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Numerical Solution for IVP in Volterra Type Linear Integrodifferential Equations System by F. Ghomanjani, A. Kılıçman, S. Effati

“…A method is proposed to determine the numerical solution of system of linear Volterra integrodifferential equations (IDEs) by using Bezier curves. …”
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B-splines Algorithms for Solving Fredholm Linear Integro-Differential Equations by Baghdad Science Journal

“…Algorithms using the second order of B -splines [B (x)] and the third order of B -splines [B,3(x)] are derived to solve 1' , 2nd and 3rd linear Fredholm integro-differential equations (F1DEs). …”
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Solving ill-conditioned linear equations using simulated annealing method by Mojtaba Moradi

“…By using a matrix scaling, the linear equation system transforms into a linear equation system with less condition number. …”
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Study of Some Kinds of Ridge Regression Estimators in Linear Regression Model by Mustafa Nadhim Lattef, Mustafa I ALheety

“… In linear regression model, the biased estimation is one of the most commonly used methods to reduce the effect of the multicollinearity. …”
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Improved Response Surface Method Based on Linear Gradient Iterative Criterion by Yu Xia, Wenzheng Kong, Yingye Yu, Yiying Hu, Jinyou Li

“…Aiming at the problem of big calculation error in solving reliability index by the traditional response surface method, an improved response surface method based on the linear gradient iteration criterion is proposed. First, the linear gradient iteration criterion is proposed to reduce the iteration step size with the increase of iteration times. …”
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Non-linear inhibitory responses enhance performance in collective decision-making by David March-Pons, Romualdo Pastor-Satorras, M. Carmen Miguel

“…We show that, compared with usual linear functions, non-linear responses enhance final consensus and reduce deliberation time. …”
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The threat of zero‐dynamics attack on non‐linear cyber‐physical systems by Amir Norouzi Mobarakeh, Mohammad Ataei, Rahmat‐Allah Hooshmand

“…The authors have warned about the risk of a cyberattack by introducing a new general ZDA that can be effective and robust in non‐linear multiple‐input multiple‐output CPS. In this proposed attack policy, the adversary extracts the sensor and actuator online data on the network platform. …”
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A Streaming High-Throughput Linear Sorter System with Contention Buffering by Jorge Ortiz, David Andrews

“…Instead, hardware-based solutions like sorting networks, systolic sorters, and linear sorters exploit parallelism to increase sorting efficiency. …”
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Topology Prediction of Branched Deformable Linear Objects Using Deep Learning by Shengzhe Ouyang, Manuel Zurn, Lukas Zeh, Armin Lechler, Alexander Verl

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Probabilistic Forecasting of Energy Consumption using Bayesian Dynamic Linear Models by Hartika Aulia, Syaharuddin Syaharuddin, Vera Mandailina, Hamenyimana Emanuel Gervas, Hameed Ashraf

“…This study aims to conduct a systematic literature review on the development of mathematical models for forecasting energy consumption using a probabilistic approach, particularly focusing on the Bayesian Dynamic Linear Model (BDLM). The research method employed is Systematic Literature Review (SLR), utilizing literature sources indexed in Scopus, DOAJ, and Google Scholar, with publication dates ranging from 2014 to 2024. …”
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Linear control strategy of the dilution rate for stability in the anaerobic digestion process by Orlando Harker, Adolfo Andrés Jaramillo, Patrick U. Okoye

“…In this work, a compensator is designed, for which the approximate linearization technique of the AM2 nonlinear model is proposed, to obtain the linearized model from which a classic lag-lead control strategy is proposed, using the dilution rate as a control variable. …”
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Research on the Acoustic Scattering Characteristics of Underwater Corner Reflector Linear Arrays by Dawei Xiao, Jingzhuo Zhang, Zichao Chu, Yi Luo

“…This manuscript aims to optimize the acoustic scattering characteristics of underwater corner reflector linear arrays through simulation analysis and experimental validation, thereby enhancing their application efficiency in underwater acoustic countermeasures, particularly in terms of increasing acoustic echo intensity and reducing reflection blind spots. …”
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Non‐linear activation function approximation using a REMEZ algorithm by Samba Raju Chiluveru, Manoj Tripathy, Bibhudutta

“…Result reveals that the proposed approximation scheme efficiently approximates the non‐linear activation functions.…”
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Lightweight Infrared Small Target Detection Method Based on Linear Transformer by Bingshu Wang, Yifan Wang, Qianchen Mao, Jingzhuo Cao, Han Zhang, Laixian Zhang

“…The model consists of two parts: a multi-scale linear transformer and a lightweight dual feature pyramid network. …”
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Method and Mathematical Modeling of Formation of Gradually and Homogeneously Oriented Linear Polymers by Levan Nadareishvili, Roland Bakuradze, Jimsher Aneli, Manana Areshidze, Ineza Pavlenishvili, Liana Sharashidze, Giorgi Basilaia

“…The scientific basis of these developments is the concept of a new structural state of linear polymers—a gradually oriented (stretched) state (GOS), the essence of which is set out briefly. …”
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Optimizing UAV performance with IoT and fuzzy linear fractional transportation models by Samaher Al-Janabi, Nawras G. Seyhood

“…This paper presents an innovative model integrating fully fuzzy linear fractional transportation programming (FTMP) with Internet of Things (IoT) technologies to enhance UAV performance. …”
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