Features of the Computational Implementation of the Algorithm for Estimating the Lyapunov Exponents of Systems with Delay by Vladimir E. Goryunov

“…In this paper, we propose two methods of linearized systems solutions processing. One of them is based on a set of impulse functions, and the other is based on a set of trigonometric functions. …”
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Analytical finite-integral-transform and gradient-enhanced machine learning approach for thermoelastic analysis of FGM spherical structures with arbitrary properties by Palash Das, Dipayan Mondal, Md. Ashraful Islam, Md. Abdullah Al Mohotadi, Prokash Chandra Roy

“…The FIT method simplifies the governing partial differential equations into ordinary differential equations for efficient solutions, whereas the g-PINN bypasses linearization, achieving high accuracy with fewer training data (error < 3.8%). …”
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Bridging small molecule calculations and predictable polymer mechanical properties by Luping Wang, Kaiqiang Zhang, Kaiyang Hou, Yuguo Xia, Xu Wang

“…Herein we discover that the calculated binding energy of supramolecular fragments correlates linearly with the mechanical properties of polyurethane elastomers. …”
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Spectral and Temperature Dynamics of Photon Absorption in Monatomic Transition Metal Dichalcogenides by Rustam Y. Rasulov, Vokhob R. Rasulov, Mardonbek Kh. Nasirov, Mavzurbek Kh. Kuchkarov, Kamola K. Urinova

“…Using theoretical modeling and computational analysis, the spectral and temperature dependencies of one- and two-photon absorption coefficients were examined for linearly and circularly polarized light. Results reveal a pronounced increase in absorption coefficients with frequency, reaching a peak before declining, a behavior modulated by the material's bandgap and temperature. …”
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Cas9 endonuclease: a molecular tool for in vitro cloning and CRISPR edit detection by Xingliang Ma, Xingliang Ma, Dhouha Kthiri, Dhouha Kthiri, Manpartik S. Gill, Manpartik S. Gill, Curtis J. Pozniak, Sateesh Kagale

“…Here, we demonstrate the use of SpCas9 combined with custom synthesised sgRNAs to linearize large plasmid constructs, enabling DNA element incorporation via seamless cloning methods. …”
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Risk Assessment of Heavy Metal Accumulation in Cucumber Fruits and Soil in a Greenhouse System with Long-Term Application of Organic Fertilizer and Chemical Fertilizer by Yuwei Zhang, Shan Tang, Yali Li, Ruonan Li, Shaowen Huang, Hong Wang

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High-Level Implicit Enumerations for Quadratic Periodic Train Timetabling with Prioritized Cross-Line Operations by Congcong Zou, Hongxia Lv, Miaomiao Lv, Shaoquan Ni, Qinglun Zhong

“…The results demonstrate that our proposed method can efficiently achieve flexible while recoverable operational times for the cross-line services and the proposed implicit enumeration algorithms significantly outperform the direct linearization, which increases the search space significantly due to the considerable dimensionality of the periodic decision variables involved. …”
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A review of the research progress of ammonia combustion enhancement technology by ZHANG Yu, ZHAO Yijun*, ZENG Guang, ZHANG Wenda, ZHANG Linyao, SUN Shaozeng

“…With the increase of the carbon-based fuel blending ratio, the ammonia/air flame speed increases linearly. Oxygen-enriched combustion can significantly increase the ammonia flame speed without carbon emission, and laminar flame speed increases linearly with oxygen content. …”
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An Adaptive Robust Optimization Model for Microgrids Operation Using Convexified AC Power Flow Equations by Mahmoud Mollayousefi Zadeh, Zakaria Afshar, Gholamreza Farahani, Seyed Mohammad Taghi Bathaee

“…Considering the increasing penetration of renewable energy sources (RESs) into power grids, adopting efficient energy management strategies is vital to mitigate the uncertainty issues resulting from the intermittent nature of their output power. …”
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Authentication scheme for multi-cloud environment based on smart card by Sen ZHAO, Qingqing GAN, Xiaoming WANG, Fang YU

“…To solve the problem of the access keys stored in a smart card increasing linearly with the number of registered clouds without third party participated in authentication,an authentication scheme was proposed for multi-cloud environment based on smart card.In the proposed scheme,the authentication was realized between user and multiple clouds without third party participation when the smart card only stored two access key.Thus the storage cost of smart card was reduced effectively.Because there was no public key cryptography,the authentication messages was generated by using XOR homomorphic function and Hash function,thus the computational cost of the smart card and the cloud servers was reduced effectively.Moreover,the proposed scheme also didn’t need to store any user’s information on the cloud servers,thereby reducing the storage and management costs of the cloud servers.The security analysis and the performance analysis show that the proposed scheme is able to resist multiple attacks,which is secure and efficient.…”
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Development and validation of a HPLC method for the determination of amoxicillin trihydrate, colistin sulphate, nipasol and nipagin in an injectable suspension. by Violeta Tauber, Viorica Chiurciu

“…The proposed HPLC method was statistically validated with respect to specificity, linearity, limits of detection and quantification, ranges, precision and accuracy. …”
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A Physics‐Based Compact Model for Ferroelectric Capacitors Operating Down to Deep Cryogenic Temperatures for Applications in Analog Memory and Neuromorphic Architectures by Ella Paasio, Rikhard Ranta, Sayani Majumdar

“…Abstract Binary oxide ferroelectrics like doped HfO2, compatible with complementary metal‐oxide‐semiconductor (CMOS) platforms, have gained significant interest for energy efficient, scalable, high‐performance non‐volatile memory and neuromorphic technologies. …”
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Secure latent Dirichlet allocation by Thijs Veugen, Thijs Veugen, Vincent Dunning, Michiel Marcus, Bart Kamphorst

“…Furthermore, we show that the solution scales linearly in the total number of words and the number of topics.…”
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ScITree: Scalable Bayesian inference of transmission tree from epidemiological and genomic data. by Hannah Waddel, Katia Koelle, Max S Y Lau

“…Additionally, our method scales significantly more efficiently for large outbreaks, with computing time increasing linearly with outbreak size, compared to the exponential scaling of the Lau method. …”
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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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A low time mismatch sampling method for time-interleaved ADC by Yan Xiang, Qin Kefan, Yang Shangzheng, Hu Weibo

“…To cope with the performance degradation caused by time mismatch in time-interleaved analog-to-digital converters, an efficient hierarchical series sampling method was proposed. …”
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Non-Stationary Random Response of MDOF Duffing Systems by J.H. Lin, J. Wang, Y.H. Zhang

“…The MDOF nonlinear random differential equations are iteratively solved by means of the Equivalent Linearization Method (ELM) combined with the Pseudo Excitation Method (PEM). …”
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Cytoplasmic injection of circular plasmids allows targeted expression in mammalian embryos by Khursheed Iqbal, Brigitte Barg-Kues, Sandra Broll, Jürgen Bode, Heiner Niemann, Wilfried A. Kues

“…Injection of linearized DNA constructs into the pronuclei of fertilized mammalian eggs is a standard method for producing transgenic embryos and animals. …”
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Ultrasound Stimulations Induce Prolonged Depolarization and Fast Action Potentials in Leech Neurons by Francesca Dedola, Francesco Paolo Ulloa Severino, Nicolo Meneghetti, Theo Lemaire, Andrea Cafarelli, Leonardo Ricotti, Arianna Menciassi, Annarita Cutrone, Alberto Mazzoni, Silvestro Micera

“…<italic>Results:</italic> US induced a depolarization linearly accumulating in time and outlasting the duration of the stimulation. …”
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Stability-Indicating RP-HPLC Method for Assay of Silver Lactate by V. Srinivasan, H. Sivaramakrishnan, B. Karthikeyan

“…The method was validated for linearity, precision, specificity and robustness and can be used for quality-control during manufacture and assessment of the stability of samples of silver lactate. …”
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