Study of fiber waste generated in spinning technological processes by К. Жуманиязов, Д. Анорбоев

“… From the analysis of the results of the conducted research it became known that by using fibers suitable for spinning in the separated waste, it is possible to achieve efficient use of raw materials at the enterprise. Accordingly, it is recommended to use suitable fibers from carding machine waste as raw material for spinning yarn of high linear density. …”
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The Differential Transform Method as an Effective Tool to Solve Implicit Hessenberg Index-3 Differential-Algebraic Equations by Brahim Benhammouda

“…This new idea has given us a simple and efficient algorithm, which involves the solution of linear algebraic systems except for the initial recursion terms. …”
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Characterization and application of flow heterogeneity in high water cut reservoirs by ZHANG Min, JIN Zhongkang, FENG Xubo

“…The analysis revealed that for triangular well patterns, a linear relationship was observed when the Lorenz coefficient was below 0.94. …”
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A Framework for Generating S-Box Circuits with Boyer–Peralta Algorithm-Based Heuristics, and Its Applications to AES, SNOW3G, and Saturnin by Yongjin Jeon, Seungjun Baek, Giyoon Kim, Jongsung Kim

“…Many optimization strategies have been developed for the linear layer, led by the Boyer–Peralta (BP) algorithm. …”
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Machine learning-driven prediction of medical expenses in triple-vessel PCI patients using feature selection by Kuan-Yu Chen, Yen-Chun Huang, Chih-Kuang Liu, Shao-Jung Li, Mingchih Chen

“…The machine learning algorithms used included linear regression (LR), random forest (RF), support vector regression (SVR), generalized linear model boost (GLMBoost), Bayesian generalized linear model (BayesGLM), and extreme gradient boosting (eXGB). …”
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Computerised analysis of non-conjugate spiral bevel gear mesh using an advanced and fast-converging tooth contact model by Maksat Temirkhan, Andas Amrin

“…The conventional approach to tooth contact analysis (TCA), involving five non-linear equations with five unknown parameters, uses an implicit model where convergence cannot be guaranteed. …”
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Soil Quality Assessment in the Mashhad Plain, Northeast Iran (A Minimum Data Set and Spatial Analysis Approach) by Amin Mousavi, Alireza Karimi, Seyed Kazem Alavipanah, Ashraf Malekian, Tayebeh Safari

“…The soil quality index (SQI) was computed using the weighted additive integrated quality index (IQIw) in four scenarios: total dataset-linear (IQIwL_TDS), total dataset-nonlinear (IQIwNL_TDS), minimum dataset-linear (IQIwL_MDS), and minimum dataset-nonlinear (IQIwNL_MDS). …”
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How do red foxes (Vulpes vulpes) explore their environment? Characteristics of movement patterns in time and space by Felicitas Oehler, Robert Hagen, Klaus Hackländer, Zea Walton, Kumar Ashish, Janosch Arnold

“…Results According to the classification model, the movement patterns in the different phases were characterized most strongly by the variables persistence velocity, season, step length and distance to linear structures. In extraterritorial areas, red foxes either moved straight with high persistence velocity, close to anthropogenic linear structures during transient movements, or more tortuously containing a higher variance in turning angles and a decrease in persistence velocity during exploratory-like movements. …”
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Optimization of ATIG Weld Based on a Swarm Intelligence Approach: Application to the Design of Welding in Selected Manufacturing Processes by Kamel Touileb, Sahbi Boubaker

“…While the linear model provided good prediction accuracy, the nonlinear exponential model outperformed the linear one for the depth yielding a mean absolute percentage error of 17%, a coefficient of determination of 0.8266, and a root mean square error of 0.9665 mm. …”
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ON THE KERNEL METHOD COMPARED TO THE MATRIX INVERSION METHOD FOR PASSING FROM A DUAL BASIS TO THE BASIS OF A VECTOR SPACE by Michael Kilela Makiese, Pongo Ngentshi Benoit, Milolo Kanimuambidi Lea-Irene, Bompoma Elese Ruphin, Mubikayi Kabumvu Serge

“…For the inverse transition, we clarify the kernel method for linear forms and the matrix inversion method, the former exploiting the properties of linear forms and orthogonality, while the latter relies on the explicit inversion of transition matrices, with remarks for each approach depending on the context of application. …”
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Exact solutions to the fractional nonlinear phenomena in fluid dynamics via the Riccati-Bernoulli sub-ODE method by Waleed Hamali, Abdulah A. Alghamdi

“…The Riccati-Bernoulli sub-ODE method has been used in recent research to efficiently investigate the analytical solutions of a non-linear equation widely used in fluid dynamics research. …”
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Takagi-Sugeno Model-Based Control with Observer Design for Disturbance Rejection and Input Constraints in Rotary Inverted Pendulum Systems by Ngoc-Linh Tao, Bao-Trung Dong, Thi-Van-Anh Nguyen

“…By utilizing the T-S fuzzy framework, the nonlinear system is approximated with a set of linear submodels weighted by membership functions, allowing the application of linear matrix inequality (LMI)-based techniques for controller and observer design. …”
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A Modified Generalized Laguerre Spectral Method for Fractional Differential Equations on the Half Line by D. Baleanu, A. H. Bhrawy, T. M. Taha

“…A new formula expressing the Caputo fractional derivatives of modified generalized Laguerre polynomials of any degree and for any fractional order in terms of the modified generalized Laguerre polynomials themselves is derived. An efficient direct solver technique is proposed for solving the linear multiterm FDEs with constant coefficients on the half line using a modified generalized Laguerre tau method. …”
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A Novel Joint Problem of Routing, Scheduling, and Variable-Width Channel Allocation in WMNs by Chun-Cheng Lin, Wan-Yu Liu, Chun-Hung Chou, Der-Jiunn Deng

“…Although the previous works have studied this joint problem, their linear programming models for the problem were not incorporated with some delicate constraints. …”
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High-energy dual-energy computed tomography for the characterization of large and thick objects by Alix Sardet, Daniel Eck, Nicolas Estre, Frédéric Moutet, Emmanuel Payan, Cécilia Tarpau

“…However, this information is limited to the apparent linear attenuation μ of the materials. To reach a more precise and accurate description, in the form of the effective atomic number Zeff and the electronic density ρe, dual-energy imaging can be used. …”
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Electrochemical Analysis of Corrosion Resistance of Manganese-Coated Annealed Steel: Chronoamperometric and Voltammetric Study by Francisco Augusto Nuñez Pérez

“…Subsequently, linear voltammetry was performed over a potential range from −0.8 V to 0.8 V to generate Tafel plots. …”
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MOŽNOST PROPOJENÍ DOPRAVNÍ A VODÁRENSKÉ INFRASTRUKTURY JAKO NÁSTROJ UDRŽITELNOSTI VEŘEJNÉHO SEKTORU by Štěpán Marval, Tomáš Hejduk, Petr Fučík, Ondřej Mašek, Štěpán Zrostlík

“…The present paper represents a link between two research activities that were developed within the project "Evaluation of the possibilities of using planned linear structures to implement water transfers between basins and between water supply systems". …”

Technical note: A modified formulation of dynamic energy budget theory for faster computation of biological growth by J. Tang, W. J. Riley

“…Compared to the standard dynamic energy budget (sDEB) model (Kooijman, 2009), this modified formulation does not place the dilution effect in the mobilization kinetics of reserve biomass, and it maintains the partition principle for reserve mobilization dynamics for both linear and non-linear kinetics. Overall, the mDEB model shares most features with the sDEB model. …”
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Hybrid forecasting model of non-scheduled passenger air transportation by N. B. Aghayev, D. Sh. Nazarli

“…As it is known, the ARIMA model is applied to identify linear trends and regularities within time series data as well as for forecasting. …”
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An ELECTRA-Based Model for Power Safety Named Entity Recognition by Peng Liu, Zhenfu Sun, Biao Zhou

“…This model employs root mean square layer normalization (RMSNorm) and the switched gated linear unit (SwiGLU) activation function, which substitutes the conventional layer normalization (LayerNorm) and the Gaussian error linear units (GeLU). …”
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