Nonlinear dynamics of laminar flow in porous channels: Effects of wall dilation and inertial–viscous interplay by Mahmmoud M. Syam, M. Alabdul Razzak, Hossam R. Ammar, Sally Suhel Aldeleh

“…This research introduces a computationally efficient and highly accurate modification to the operational matrix method (OMM) for solving nonlinear boundary value problems commonly encountered in thermal-fluid engineering. …”
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Optimizing composite microplastics for antibiotics removal in water: An eco-friendly solution by David Azanu, Nasser Dia, James Darmey, David Adu-Poku, Kwame Effrim Tabbicca, Ebenezer Ebo Yahans Amuah, Sampson Kofi Kyei, Alikalifa Sanogo

“…The heat of adsorption decreased linearly with increased surface coverage, while Jovanovic’s model suggested mechanical interactions between the adsorbate and adsorbent. …”
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Stability-indicating spectrophotometric quantification of safinamide in the presence of its possible degradation product by Ebraam B. Kamel, Omar M El-Abassy

“…It is highly improbable that degradation products of pharmaceutical components would significantly compromise efficiency and safety of a drug during its shelf life. …”
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A Virtual Mixture Approach to the Study of Multistate Equilibrium: Application to Constant pH Simulation in Explicit Water. by Xiongwu Wu, Bernard R Brooks

“…Simulation of a VMMS system allows efficient calculation of relative free energies of all states, which in turn determine their equilibrium molar fractions. …”
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Wide Parallax Image Stitching With Balanced Alignment-Naturalness by Tao Song, Qian Li, Peiguo Hou, Ning Li, Wenhao Liu, Zeheng Xia

“…Furthermore, global similarity transformation and the linearization of local projective matrices are utilized to adjust overall distortion, while the combination of local projective transformation with global similarity is employed to achieve a more natural result. …”
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Green HPLC technique development for the simultaneous determination of the potential combination of Mirabegron and Tamsulosin by Eman A. Bahgat, Hanaa Saleh, Islam M. Darwish, Omar M El-Abassy

“…In the concentration ranges of 2.5–55 µg/mL for mirabegron and 5–110 µg/mL for tamsulosin, remarkable linearity was seen. The limits of detection for the two analytes were 0.28 and 0.55 µg/mL, respectively, and their R2 values were 0.9999. …”
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Comparison of Classical Arima Forecasting Methods to the Machine Learning LSTM Method: a Case Study on DAX® 50 ESG Index by Rosinus, Manuel

“…Background: Traditional econometric models like ARIMA, while foundational for time series forecasting, often rely on assumptions of linearity and stationarity. These models can fall short in capturing the complex, nonlinear dynamics frequently present in financial markets. …”
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Determination of 53 volatile flavor components in strong-flavor Baijiu by gas chromatography by XU Jia, LIAO Li, ZOU Yongfang, GAN Qiao, JING Xiong, PENG Houbo, QIAN Yu

“…This method could detect 53 volatile flavor substances in strong-flavor Baijiu within 44 min, achieving good linearity for each component within their respective concentration ranges (R²≥0.998 6). …”
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Dash: Accelerating Distributed Private Convolutional Neural Network Inference with Arithmetic Garbled Circuits by Jonas Sander, Sebastian Berndt, Ida Bruhns, Thomas Eisenbarth

“…They commonly suffer from large performance overheads, big accuracy losses, and communication overheads that grow linearly in the depth of the neural network. To improve on these problems, we present Dash, a fast and distributed private convolutional neural network inference scheme secure against malicious attackers. …”
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Rapid Determination of 26 Pyrrolizidine Alkaloids in Milk Power and Liquid Milk by Solid Phase Extraction Combined with Ultra-high Performance Liquid Chromatography-Tandem Mass Spe... by CHEN Yankai

“…The calibration curves for the 26 PA compounds showed good linearity in the range of 1.0–40 ng/mL with determination coefficients (R2) greater than 0.992. …”
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Poseidon and Neptune: Gröbner Basis Cryptanalysis Exploiting Subspace Trails by Lorenzo Grassi, Katharina Koschatko, Christian Rechberger

“…In this paper, we revisit Gröbner basis (GB) attacks that exploit subspace trails to linearize some partial rounds, considering both sponge and compression modes. …”
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Investigating multi-directional flow dynamics in three-way ball valves: a CFD-based study by Amol Dhumal, Nitin Ambhore, Gaurav Sanap, Tanmay Patil, Vishal Sanap, Aryan Kadu

“…Abstract The objective of this study is to analyze a three-way ball valve using computational fluid dynamic simulations in ANSYS Fluent to achieve better flow control and improve the efficiency of the system. The need to improve the energy efficiency and reliability of the fluid management system valves serves as motivation for this study. …”
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Morphine and codeine in racing horse feed: is there reason for concern? by Karačonji Irena Brčić, Jelača Tea, Jurič Andreja, Vrdoljak Ana Lucić

“…The method showed satisfactory linearity (R2>0.9980) in the tested concentration range (85–1600 ng/g), as well as good precision (RSD<4 %), accuracy (>95 %), and sensitivity (limit of detection 22 and 25 ng/g for morphine and codeine, respectively). …”
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Development of a stability-indicating UPLC method for quantification of mirvetuximab soravtansine-gynx in pharmaceutical formulations using quality by design (QbD) principles by K. V. Umamaheswara Rao, Neetu Shorgar

“…Results and discussion: The method validation demonstrates excellent linearity (R² = 0.991, p < 0.05) over 17.50–105 µg/mL. …”
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Development and validation of an analytical method for detecting chlorantraniliprole residues in fresh tea leaves by Tengfei Liu, Minghui Dong, Fengjie Zhou, Daifeng Yang, Xueming Zhang

“…Mean recoveries of 95.2%–108.8% were obtained with intraday and interday precisions of less than 7.9% and 10.3%, respectively. Good linearity was observed for concentrations of 0.02–1.0 mg/kg with a correlation coefficient of 0.9984. …”
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Optimal Allocation Method of Integrated Energy System Considering Joint Operation of Multiple Flexible Resources by DENG Qianwen, LI Qi, QIU Yibin, LI Doumeng, HUO Shasha, CHEN Weirong

“…To solve the nonlinearity, the large M method is adopted to linearize the model and complete the model solution. …”
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A straightforward Py-GC/MS methodology for quantification of microplastics in tap water by Alexander Ccanccapa-Cartagena, Anandu Nair Gopakumar, Maryam Salehi

“…The method exhibited excellent linearity for all targeted polymers (R² > 0.996) and achieved detection limits as low as 0.01 µg for polystyrene (PS) and up to 2.59 µg for polyethylene (PE). …”
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Development and Validation of a GC-MS/MS Method for the Simultaneous Quantification of Selected Compounds in Essential Oils by Ana Vučak, Glorija Golubić, Franko Burčul

“…All calibration curves showed good linearity (R2 ≥ 0.998), with the concentration ranges varying depending on the analyte (0.10–10.00 μg ml–1). …”
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Terahertz ribbon waveguide for sensing electrolyte concentration in phosphate-buffered saline solution by Ja-Yu Lu, Pin-Jung Lu, Borwen You

“…The transmission loss constant of the transverse-magnetic (TM) waveguide mode propagating on a PRW is used as the THz sensing signal and found to be linearly responded to the quantity of electrolytes adsorbed in the PRW core in the measurement of THz time-domain spectroscopy. …”
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Enhanced Performance of Microstrip Antenna Arrays through Concave Modifications and Cut-Corner Techniques by Salah eddine Boukredine, Elhadi Mehallel, Ahcene Boualleg, Oussama Baitiche, Abdelaziz Rabehi, Mawloud Guermoui, Abdelmalek Douara, Imad Eddine Tibermacine

“… This paper presents the design and analysis of a high-performance 4×1 linear microstrip-fed antenna array optimized for wireless communication systems operating at 2.45 GHz. …”
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