LOCAL LINEAR EMBEDDING ALGORITHM FOR PARAMETER MATRIX MEASUREMENT IN SYMMETRIC POSITIVE DEFINITE MANIFOLD (MT) by LIU QingQiang, HE HongKai, ZHENG ChangMin, SUN YanRu, LIU ZiXuan

“…Aiming at the problem that Euclidean space cannot effectively describe the nonlinear structure of the data and affects the performance of the feature extraction of the local linear embedding（LLE） algorithm, a local linear embedding algorithm based on the parameter matrix measurement on a symmetric positive definite（SPD-PMM-LLE） manifold is proposed. …”
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A unified linear intrinsic alignment model for elliptical and disc galaxies and the resulting ellipticity spectra by Basundhara Ghosh, Kai Nussbaumer, Eileen Sophie Giesel, Björn Malte Schäfer

“…Alignments of disc galaxies were thought to result from tidal torquing, where tidal field of the cosmic large-scale structure exert torquing moments onto dark matter haloes, determining their angular momentum and ultimately the orientation of galactic discs. …”
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Research on the Multiple Linear Regression Model of Color Difference and Physicochemical Properties of Thermal Treated Biomass by Lei Song, Yuanna Li, Tingzhou Lei, Yantao Yang, Yilin Shen, Hesheng Zheng

“…Meanwhile, the number of conjugated structures in the chromophore groups increases, causing the color of the solid products to tend toward black. …”
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TiO₂/SWCNts: Linear and Nonlinear Optical Studies for Environmental Applications by Saloua Helali

“…The X-ray diffraction method was used to investigate the structure of the samples. The absorbance and transmittance data of the samples were measured using a UV–vis spectrophotometer. …”
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Analysis of Urban Residents’ Willingness to Pay for Forest Ecological Services Based on the Multilayer Linear Model by Yi Sun, Hua Li

“…This study takes 8 cities in Shaanxi province as the research object and uses the multilayer linear model specifically for nested structure data to introduce the urban macroexplanatory variables on the basis of individual level of residents and influence the willingness of urban residents to pay for forest ecological services. …”
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Identification of High-Order Linear Time-Invariant Models from Periodic Nonlinear System Responses by Mahmoud A. Hayajnh, Umberto Saetti, J. V. R. Prasad

“…These examples focus on the identification of the vertical dynamics from various types of input–output data, including linear time-invariant, linear time-periodic, and nonlinear time-periodic input–output data. …”
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Simple and High-Precision Hamiltonian Simulation by Compensating Trotter Error with Linear Combination of Unitary Operations by Pei Zeng, Jinzhao Sun, Liang Jiang, Qi Zhao

“…Trotter and linear combination of unitary (LCU) operations are two popular Hamiltonian simulation methods. …”
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Highly Nonlinear Fiber-Assisted Multiwavelength Generation in Linear Cavity Thulium-Doped Fiber Laser by R. Radzali, A. A Latif, A. W. Al-Alimi, M. A Mahdi, M. H. Abu Bakar

“…This work has demonstrated the use of simple HNLF-integrated linear cavity architecture to generate multiwavelength output without complex nonlinear-based structure.…”
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Kernel Local Linear Discriminate Method for Dimensionality Reduction and Its Application in Machinery Fault Diagnosis by Kunju Shi, Shulin Liu, Hongli Zhang, Bo Wang

“…However, most of these technologies are not suitable for the task, because they are unsupervised in nature and fail to discover the discriminate structure in the data. To overcome these weaknesses, kernel local linear discriminate (KLLD) algorithm is proposed. …”
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The Impact of Endoscopic Linear Stapling Device Stability in Thoracic Surgery: A Delphi Panel Approach by Daniel Miller, Diego Gonzalez Rivas, Kellie L. Meyer, Ryan S. Clark, Tadasu Kohno

“…Panelists unanimously agreed that: 1) an endoscopic linear stapling device with improved stability would result in less stress/concern for critical firings, surgeries where a fellow is trained, and robot-assisted surgeries requiring an assistant; 2) reduced unintentional tissue/structure damage and reduced tension on tissue being fired upon may result from use of an endoscopic linear stapling device that provides improvement in stability; and 3) endoscopic linear stapling device stability had more clinical importance in video-assisted thoracic surgery compared to open thoracic surgery…”
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Joining Application of Unmanned Aerial Vehicle Imagery with GIS for Monitoring of Soft Cliff Linear Habitats by Egidijus Jurkus, Julius Taminskas, Ramūnas Povilanskas, Arvydas Urbis, Jovita Mėžinė, Domantas Urbis

“…In the coastal zone, two types of habitats—linear and areal—are distinguished. The main differences between both types are their shape and structure and the hydro- and litho-dynamic, salinity, and ecological gradients. …”
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Mixed-Integer Linear Programming Based Distribution Network Reconfiguration Model Considering Reliability Enhancement by Junpeng Zhu, Yi Zhou, Xiaofeng Dong, Li Zhou, Qiong Zhu, Yue Yuan

“…Accordingly, this paper proposes a reconfiguration method of distribution network considering the enhancement of reliability, which reconfigures the network structure both under normal operation conditions and outage scenarios, and considers factors such as power loss, load distribution and voltage quality considered in conventional reconfiguration methods. …”
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Fabrication, Modeling, and Design of Position and Pressure Control System of a Soft Pneumatic Linear Actuator by Leandro Seiti Goia, Diego Colon, Alexandre Brincalepe Campo

“…This work presents a soft pneumatic linear actuator designed as a bellow-shaped structure made of silicone rubber that operates with negative pressure to contract and with positive pressure to extend. …”
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A Dual-Linearly-Polarized Center-Fed Quadrifilar Helix Antenna Loaded With Reverse Helices by Xunting Yang, Yifeng Xu, Yuhang Dou, Miao Zhang

“…It features a small transverse area, hollow-core structure, enhanced bandwidth, high cross-polarization discrimination (XPD), and high gain. …”
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Determination of Dynamic Stresses and Displacements under the Action of an Impact Load on a Two-Layer Structure during the Indentation Process by N. E. Babushkina, A. A. Lyapin

“…This will allow us to identify significant characteristics of the strength properties of homogeneous and heterogeneous structures.Materials and Methods. An elastoplastic model of material behavior and a shock indentation scheme were used, which took into account the masses of the indenter and the striker coupled by linear springs. …”
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Analysis of the dynamic behavior of onboard rotors in non-linear regimes under the influence of parametric uncertainties by Trevilato Thales R. B., Cavallini Jr Aldemir Ap, Steffen Jr Valder

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Identification of a Conserved Linear Epitope on the p54 Protein of African Swine Fever Virus by Kuijing He, Yue Wu, Zhipeng Su, Yue Zeng, Guishan Ye, Qi Wu, Long Li, Anding Zhang

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Systematic discovery of linear binding motifs targeting an ancient protein interaction surface on MAP kinases by András Zeke, Tomas Bastys, Anita Alexa, Ágnes Garai, Bálint Mészáros, Klára Kirsch, Zsuzsanna Dosztányi, Olga V Kalinina, Attila Reményi

“…Systematic discovery of MAPK networks both experimentally and in silico has been hindered because MAPKs bind to other proteins with low affinity and mostly in less‐characterized disordered regions. We used a structurally consistent model on kinase‐docking motif interactions to facilitate the discovery of short functional sites in the structurally flexible and functionally under‐explored part of the human proteome and applied experimental tools specifically tailored to detect low‐affinity protein–protein interactions for their validation in vitro and in cell‐based assays. …”
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Exploring Entropy Measures with Topological Indices on Subdivided Cage Networks via Linear Regression Analysis by Rongbing Huang, Muhammad Farhan Hanif, Muhammad Faisal Hanif, Muhammad Kamran Siddiqui, Mazhar Hussain, Eihab Bashier

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A Self-Propelled Linear Piezoelectric Micro-Actuator Inspired by the Movement Patterns of Aquatic Beetles by Xinjie Wang, Gen Wang

“…The locomotion mechanisms and structural characteristics of insects in nature offer new perspectives and solutions for designing miniature actuators. …”
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