SOURCES OF HIGH PROTEIN CONTENT IN COMMON BEAN SEEDS (PHASEOLUS VULGARIS) FROM THE VIR COLLECTION by G. P. Egorova, I. N. Perchuk, A. E. Solovyeva, T. V. Buravtseva

“…The protein content in seeds was measured in the Biochemistry and Molecular Biology Department at VIR using Kjeldahl method. Mathematical data processing (correlation analysis and single-factor analysis of variance) was performed using Statistica 7.0 software (StatSoft, Inc., USA).Results and conclusions. …”
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Interacting Large Language Model Agents Bayesian Social Learning Based Interpretable Models by Adit Jain, Vikram Krishnamurthy

“…The main takeaway of this paper, based on substantial empirical analysis and mathematical formalism, is that LLMAs act as rationally bounded Bayesian agents that exhibit social learning when interacting. …”
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Multiobjective Optimization Design and Performance Prediction of Centrifugal Pump Based on Orthogonal Test by Yuqin Wang, Xinwang Huo

“…In order to improve the hydraulic performance of the centrifugal pump, based on the original model, the optimization mathematical model with the four indexes head, efficiency, shaft power, and pump net positive suction head as objective function was established, and the multiobjective optimization design of the centrifugal pump was carried out by orthogonal test. …”
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Bayesian reinforcement learning models reveal how great-tailed grackles improve their behavioral flexibility in serial reversal learning experiments by Lukas, Dieter, McCune, Kelsey, Blaisdell, Aaron, Johnson-Ulrich, Zoe, MacPherson, Maggie, Seitz, Benjamin, Sevchik, August, Logan, Corina

“…Here, we apply and expand newly developed Bayesian reinforcement learning models to gain additional insights into how individuals might dynamically modulate their behavioral flexibility if they experience serial reversals. We derive mathematical predictions that, during serial reversal learning experiments, individuals will gain the most rewards if they 1) increase their *rate of updating associations* between cues and the reward to quickly change to a new option after a reversal, and 2) decrease their *sensitivity* to their learned association to explore the alternative option after a reversal. …”
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Study of the landslide process in conditions of seasonally frozen soils (landslide slope of the Vorkuta river valley) by A. N. Vikhot

“…The components were checked for stationarity and distribution according to the normal law by estimation of mathematical expectations of the detrended series parameters. …”
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Evaluation of the vibration state and determination of the stress-strain state of the trash-rack structure of the hydroelectric power plants by A. S. Antonov, N. P. Karablin, K. Ju. Baud, I. V. Baklykov

“…The second block is mathematical modelling. The hydraulic regime and the stress-strain state were specified, frequencies and forms of natural vibrations of the structure were determined. …”
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Dynamic transmission modeling of COVID-19 to support decision-making in Brazil: A scoping review in the pre-vaccine era. by Gabriel Berg de Almeida, Lorena Mendes Simon, Ângela Maria Bagattini, Michelle Quarti Machado da Rosa, Marcelo Eduardo Borges, José Alexandre Felizola Diniz Filho, Ricardo de Souza Kuchenbecker, Roberto André Kraenkel, Cláudia Pio Ferreira, Suzi Alves Camey, Carlos Magno Castelo Branco Fortaleza, Cristiana Maria Toscano

“…Brazil was one of the countries most affected during the first year of the COVID-19 pandemic, in a pre-vaccine era, and mathematical and statistical models were used in decision-making and public policies to mitigate and suppress SARS-CoV-2 dispersion. …”
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Development of a structural equation model for sustainable construction practices in Nigeria by H. C. O. Unegbu, D. S. Yawas, B. Dan-asabe, A. A. Alabi

“…Government policies exhibited the most considerable influence across three sustainability domains: environmental sustainability (ENS), social sustainability (SS), and economic sustainability (ES), as indicated by GPR → ENS (β = 0.87), GPR → SS (β = 0.68), and GPR → ES (β = 0.72), all p < 0.05. The derived mathematical model for Sustainable Construction Practices (SCP) is SCP = 0.01 + 0.5x + 0.3y + 0.2z, where x, y, and z represent environmental, social, and economic sustainability, respectively. …”
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Dynamic Coupling Analysis of Vehicle-Bridge System for Long-Span Suspension Bridge Based on Backpropagation Neural Network Method by Zuolong Luo, Xiaobo Zheng, Haoyun Yuan, Xirong Niu

“…Firstly, the BP neural network was used to approximate the dynamic response of the suspension bridge in the vehicle-bridge coupling system, and the complex finite element analysis results were thus explicitly displayed in the form of a mathematical analytical expression. And then the dynamic response of the suspension bridge under vehicle load was obtained by using a dynamic explicit analysis method. …”
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Data mining approach in detecting inaccurate financial statements in government-owned enterprises by Amra Gadžo, Mirza Suljić, Adisa Jusufović, Slađana Filipović, Erna Suljić

“…Leveraging the identified attributes, a mathematical model could potentially be formulated to effectively predict financial statements of government-owned enterprises in FBiH. …”
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Deep learning solutions for inverse problems in advanced biomedical image analysis on disease detection by Amal Alshardan, Hany Mahgoub, Nuha Alruwais, Abdulbasit A. Darem, Wafa Sulaiman Almukadi, Abdullah Mohamed

“…Abstract Inverse problems in biomedical image analysis represent a significant frontier in disease detection, leveraging computational methodologies and mathematical modelling to unravel complex data embedded within medical images. …”
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Jean-Baptiste Camps, La Chanson d’Otinel. Édition complète du corpus manuscrit et prolégomènes à l’édition critique by Jean-Baptiste Camps

“…Methods from the fields of mathematical modelling, statistics, algorithmic, and artificial intelligence are put to use, as well as processes seeking to allow interoperability, scalability, and systematisation of editorial work (optical character recognition, linguistic tagging, collation), in a workflow centred on analysis. …”
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Natural Polymer Derivative-based pH responsive Nanoformulations Entrapped Diketo-tautomers of 5-fluorouracil for Enhanced Cancer Therapy by Anbazhagan Thirumalai, Koyeli Girigoswami, Karthick Harini, Venkatakrishnan Kiran, Pazhani Durgadevi, Agnishwar Girigoswami

“…Conclusion: In acidic conditions, there is a greater release of 5-FU than neutral pH levels, indicating a pH-responsive release profile beneficial for cancer treatment, with the release mechanism of OSANPs following Fickian diffusion as identified by a Korsmeyer-Peppas mathematical model and the formu¬lation showing improved therapeutic efficacy. …”
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Gapped phases with non-invertible symmetries: (1+1)d by Lakshya Bhardwaj, Lea E. Bottini, Daniel Pajer, Sakura Schafer-Nameki

“…Along with the physical description of symmetric gapped phases, we also provide a mathematical one as pivotal 2-functors whose source 2-category is the delooping of the fusion category characterizing the symmetry and the target 2-category is the Euler completion of 2-vector spaces.…”
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Numerical Simulation of Distribution Characteristics of Hydraulic Fish Habitat Index in 90° Spur Dike Areas by JIANG Li, DENG Xiaolong, ZHONG Liang, CHEN Jingyuan, ZHONG Xueyi, LIU Xiangqian, FU Qiang

“…The study of fish habitat in spur dike areas is of great significance to the ecological protection of rivers.In this paper,the distribution characteristics of the hydraulic fish habitat index in a spur dike area are discussed by a three-dimensional (3D) mathematical model for water flow.The results reveal that ① the flow velocity increases with the Froude number Fr;the width of the back flow area behind the dike decreases gradually,and the main flow area changes from rapidly varied flow to gradually varied flow and gradually returns to uniform flow.② The flow velocity gradient G in the main flow and back flow areas is small;the areas with G&gt;2 are mainly concentrated on the left and right banks of the water channel and near the spur dike head,and on the cross-section,G declines as Fr grows.③ The distribution characteristics of the kinetic energy gradient M on the section of the spur dike from upstream to downstream are similar to those of G.The high-value areas of M appear on the right bank of the water channel and in the section with the relative channel width B⁺ of 0.25~0.40 near the spur dike head,but M is small on the left bank of the water channel and has little change along the way.④ With the increase in Fr,the velocity suitability S_u in the upstream of the spur dike decreases,while S_u at the spur dike and in the downstream cross-section of the spur dike increases.S_u of the back flow area in the downstream of the spur dike is small,generally not more than 0.3,while S_u in the main flow area may exceed 0.8,which indicates that the spawning habitat of fish in this area is better.The research results can provide a reference for the protection of fish resources in spur dike areas and the construction of ecological waterway projects.…”
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Nanoscale Titanium Oxide Memristive Structures for Neuromorphic Applications: Atomic Force Anodization Techniques, Modeling, Chemical Composition, and Resistive Switching Propertie... by Vadim I. Avilov, Roman V. Tominov, Zakhar E. Vakulov, Daniel J. Rodriguez, Nikita V. Polupanov, Vladimir A. Smirnov

“…Three anodization synthesis techniques were considered to allow the formation of structures with different sizes and productivity: nanodot, lateral, and imprint. The mathematical model allowed us to calculate the processes of oxygen ion transfer to the reaction zone; the growth of the nanostructure due to the oxidation of the titanium film; and the formation of TiO, Ti₂O₃, and TiO₂ oxides in the volume of the growing nanostructure and the redistribution of oxygen vacancies and conduction channel. …”
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Post-quantum encryption technology based on BRLWE for internet of things by Yitian GAO, Liquan CHEN, Tianyang TU, Yuan GAO, Qianye CHEN

“…With the development of quantum computers, the classical public key encryption system is not capable enough to guarantee the communication security of internet of things (IoT).Because the mathematical puzzles which post-quantum encryption algorithms are based on cannot yet be broken by quantum computers, these new algorithms have good anti-quantum computing security.In particular, the lattice-based cryptography is expected to become the main technology of the next generation public key cryptosystem.However, post-quantum encryption algorithms have the disadvantages of large amount of computation and high storage space.The communication efficiency of IoT will be affected if post-quantum encryption algorithms are directly applied to the lightweight device under IoT environment.In order to better guarantee the communication security and improve the commutation efficiency of IoT, Sym-BRLWE (symmetrical binary RLWE) encryption scheme was proposed.Sym-BRLWE was improved from the existing post-quantum encryption scheme based on BRLWE (binary ringlearning with errors) problem.Specifically, Sym-BRLWE encryption algorithm met the efficiency requirements of IoT via improving the random number selection on the discrete uniform distribution and the calculation of the polynomial multiplication.Sym-BRLWE encryption algorithm achieved high efficiency and high security via adding encryption security precautions, then it is more suitable for IoT lightweight devices.From the security analysis, the proposed Sym-BRLWE encryption scheme had high security.It could theoretically resist lattice attacks, timing attacks, simple power analysis (SPA) and differential power analysis (DPA).From simulation experiments, which were carried out in a binary computing environment simulating an 8-bit micro-device, the proposed Sym-BRLWE encryption scheme has high efficiency and small key size in encryption and decryption.It could reduce the total encryption time by 30% to 40% when compared with other BRLWE-based encryption schemes with the parameter selection of the 140 bit quantum security level.…”
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Certainty of Linear Interrelation of Technical and Economic Parameters of Power Units of 300 МWt Thermal Power Stations by E. M. Farhadzadeh, A. Z. Muradaliyev, T. K. Rafiyeva, A. A. Rustamova

“…It would seem that there is a quite fully developed mathematical apparatus for regression and correlation analysis, a set of algorithms and calculation programs. …”
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Invited perspectives: Integrating hydrologic information into the next generation of landslide early warning systems by B. B. Mirus, B. B. Mirus, T. Bogaard, R. Greco, M. Stähli

“…Given the increasing number of studies across the globe using hydrologic monitoring, mathematical modeling, or both in combination, it is now possible to make some insights into the advantages versus limitations of this approach. …”
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Improving the combat capability of small police tactical groups by I. V. Vlasenko, I. P. Lykhyi, Ya. O. Slatin

“…The following methods are used in the article: analysis, analysis of primary sources, comparative analysis, statistical and mathematical analysis, survey, expert survey, optimisation and approximation, graphical method of formations and method of optimisation of the commander’s location in a small tactical group, and method of experimental research. …”
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