Explicit Expression for Arbitrary Positive Powers of Special Tridiagonal Matrices by Mohammad Beiranvand, Mojtaba Ghasemi Kamalvand

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Explicit forms of Wick tensor powers in general white noise spaces by ZhiyuanHuang Huang, Xiaoshan Hu, Xiangjun Wang

“…This paper is devoted to construction and investigation of explicit forms of Wick tensor powers in general white noise spaces. …”
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Evaluating the Power System Operational Flexibility with Explicit Quantitive Metrics by Fei Guo, Hujun Li, Fangzhao Deng

“…With carbon neutrality as a target and the increased penetration of renewable energy, the operational flexibility of power systems has begun to face challenges. In order to explicitly represent the operational flexibility of power systems, two types of flexibility indexes and corresponding models for their evaluation are established in this paper. …”
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Correction: The influence of successor's implicit power and explicit power on dual innovation---The mediating effect of board dissent. by Wang Feifei, Wu Jiong, Marcello Russo, Luyang Gao

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Pre-stimulus beta power mediates explicit and implicit perceptual biases in distinct cortical areas by Carina Forster, Tilman Stephani, Martin Grund, Eleni Panagoulas, Esra Al, Simon M. Hofmann, Vadim V. Nikulin, Arno Villringer

“…Behavioural analysis confirmed adjustments in the decision criterion and confidence ratings according to the cued probabilities and previous choice-induced biases. Pre-stimulus beta power with distinct sources in sensory and higher-order cortical areas predicted explicit and implicit biases, respectively, on a single subject level and partially mediated the impact of previous choice and stimulus probability on the detection response. …”
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On the exact explicit solutions and conservation laws of the generalized (3+1)-D Camassa–Holm–Kadomtsev–Petviashvili equation with power law nonlinearity by Thokozani Blessing Shiba, Khadijo Rashid Adem

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Explicit evaluations of subfamilies of the hypergeometric function $ _3F_2(1) $ along with specific fractional integrals by Abdelhamid Zaidi, Saleh Almuthaybiri

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Minimum-Fuel Trajectories and Near-Optimal Explicit Guidance for Pinpoint Landing from Low Lunar Orbit by Matteo Caruso, Giulio De Angelis, Edoardo Maria Leonardi, Mauro Pontani

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Enhanced Reliability Assessment in Distribution Network Planning via Optimal Double Q Strategy with Explicit Topology-Variable Consideration by J. Jiang, Q. Luo, Z. Xu, H. Li, C. Gao

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A New Explicit Solution to Particle Settlement Velocity by Ababu Teklemariam Tiruneh

“…The determination of particle settlement velocity is generally dependent on the flow regimes, with the transition region particularly not amenable to explicit expression. This paper presents a method for direct explicit solution to particle settlement velocity equation for the transitional flow region by solving a four-degree polynomial equation. …”
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Spatially explicit predictions using spatial eigenvector maps by Guillaume Guénard, Pierre Legendre

“…Abstract In this paper, we explain how to obtain sets of descriptors of the spatial variation, which we call “predictive Moran's eigenvector maps” (pMEM), that can be used to make spatially explicit predictions for any environmental variables, biotic or abiotic. …”
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Explicit Function Model of Electromagnetic Reliability for CMOS Inverters Under HPM Coupling Based on Physical Mechanism Analysis and Neural Network Algorithm by Huikai Chen, Jinbin Pan, Shulong Wang, Liutao Li, Jin Huang, Shupeng Chen, Hongxia Liu

“…Currently, commonly used compact device models for CMOS inverters lack an explicit functional model that can efficiently describe the specific physical processes of HPM-coupled voltage excitation damaging the inverter. …”
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An explicit solution of coupled viscous Burgers' equation by the decomposition method by Doğan Kaya

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Explicit Deconvolution of Well Test Data Dominated by Wellbore Storage by K. Razminia, A. Hashemi, A. Razminia, D. Baleanu

“…Our techniques detect the afterflow/unloading rate function with explicit deconvolution of the observed pressure data. …”
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An Explicit Investigation in Demand Side Management Based on Artificial Intelligence Techniques by Md. Abul Kalam, Abhinav Saxena, Md. Zahid Hassnain, Amit Kumar Dash, Jay Singh, Gyanendra Kumar Singh

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A sociotechnical perspective for explicit unfairness mitigation techniques for algorithm fairness by Nimisha Singh, Amita Kapoor, Neha Soni

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Lightweight Explicit 3D Human Digitization via Normal Integration by Jiaxuan Liu, Jingyi Wu, Ruiyang Jing, Han Yu, Jing Liu, Liang Song

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Rethinking timing residuals: advancing PET detectors with explicit TOF corrections by Stephan Naunheim, Stephan Naunheim, Luis Lopes de Paiva, Luis Lopes de Paiva, Vanessa Nadig, Yannick Kuhl, Yannick Kuhl, Stefan Gundacker, Stefan Gundacker, Florian Mueller, Volkmar Schulz, Volkmar Schulz, Volkmar Schulz, Volkmar Schulz

“…In this study, we introduce a new definition for timing residuals, enabling us to train models that directly predict correction values (explicit correction models). We demonstrate that the explicit correction approach allows for a massive simplification of the data acquisition procedure, offers exceptionally high linearity, and provides corrections able to improve the timing performance from (371 ± 6) ps to (281 ± 5) ps for coincidences from 430 keV to 590 keV. …”
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Calculation of explicit expressions for the Hopf bifurcation limit cycles in delay-differential equations by José Enríquez Gabeiras, Juan Francisco Padial Molina

“…This paper introduces a methodology to derive explicit power series approximations for the limit cycle periodic solutions of the Hopf bifurcation in autonomous discrete delay differential equations (DDE). …”
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Explicit block encodings of boundary value problems for many-body elliptic operators by Tyler Kharazi, Ahmad M. Alkadri, Jin-Peng Liu, Kranthi K. Mandadapu, K. Birgitta Whaley

“…When restricted to rectangular domains with separable boundary conditions, we provide explicit circuits to block encode the many-body Laplacian with separable periodic, Dirichlet, Neumann, and Robin boundary conditions, using standard discretization techniques from low-order finite difference methods. …”
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