Quantum limits of parameter estimation in long-baseline imaging by Aqil Sajjad, Michael R. Grace, Saikat Guha

“…However, theoretical limits on quantitative imaging precision, and the fundamentally best possible mode-sorting, beam-combining, and detection schemes to use with such arrays, remain largely unexplored. Using mathematical tools of the quantum and classical Crámer-Rao bounds, we perform analyses showing the fundamental origins of the enhancement provided by distributed imaging systems, over and above a single monolithic telescope, and consider the precision with which one can estimate any desired parameter embedded in a scene's incoherent radiation with a multi-aperture imaging system. …”
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Method for Calculating Transients in a Gas Pipeline by A. S. Fikov

“…In the course of the research, the task was set to obtain a mathematical model of the process taking into account the inertial term of the equation of motion, the neglect of which is possible only if the friction losses are exceeded by 3.5–4 times over the shock pressure. …”
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Environmentally friendly construction technologies selection criteria in the Arctic by A. A. Kuzmenkov, A. V. Kaychenov

“…The purpose of the study is to substantiate a set of criteria for “green” for the northern and Arctic regions of the Russian Federation on the basis of logically interrelated models: a design model, a full-scale model, mathematical models and a digital twin model. The main criteria include energy efficiency and environmental safety of buildings.Materials and methods. …”
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Waterflood Management Using Hybrid Approach of Streamline-Based Interwell Flux Information and Finite Volume Reservoir Simulation by Zhouyuan Zhu, Zhengdong Lei, Zhangxin Chen

“…It provides an effective solution for improving oil recovery in brown fields by combining the rigorous mathematical nature of finite volume simulation and the power of streamline-based flood management.…”
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Understanding the risks for post-disaster infectious disease outbreaks: a systematic review protocol by Ilan Kelman, Gina E C Charnley, Katy Gaythorpe, Kris Murray

“…The authors intend to use the results to inform future mathematical modelling studies.…”
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Social diagnostics of information security of digital society: methodological and regulatory aspects by M. V. Kibakin

“…Special attention has been paid to the substantiation of the possibilities of early detection of information threats to the functioning of basic social institutions – social trust and stability of social relations, solidarity, civilizational identity, interfaith peace and tolerance in a complex society.The author’s methodology has been presented in the article as a sociological research technology that includes the interpretation and operationalization of groups of information threats enshrined in the state concept of national security, the correct application of expert procedures to assess security against these threats, as well as the subsequent mathematical-statistical and logical interpretation of the data obtained. …”
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Noise Source Identification Method for a Carpet Tufting Machine Based on CEEMDAN-AIC by Wang Haohui, Sheng Xiaowei, Xu Yang

“…MEEMD (EEMD) has only been tested via simulation; however, it has not been mathematically proven or evaluated. This leads to inevitable flaws in the research conclusions, and even some conclusions are wrong. …”
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Research on Damage Assessment of Buried Standard and Carbon-Fibre-Reinforced Polymer Petroleum Pipeline Subjected to Shallow Buried Blast Loading in Soil by Ying Cui, Jun Fang, Zhan Qu, Meimei Song, Junhai Zhao

“…Moreover, with the two pressure-impulse damage evaluation curves, mathematical formulae for the two different buried petroleum pipelines were established to generate pressure-impulse diagrams. …”
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Automatic Sleep Stage Classification Based on Convolutional Neural Network and Fine-Grained Segments by Zhihong Cui, Xiangwei Zheng, Xuexiao Shao, Lizhen Cui

“…However, traditional automatic sleep stage classification is quite challenging because of the complexity associated with the establishment of mathematical models and the extraction of handcrafted features. …”
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Machine vision model for drip leakage detection of pipeline. by Cong Xiao, Yiyuan Zhou, Yanwen Wu, Guodong Zhang

“…Morphological reconstruction and region-filling techniques are used to remove the noise caused by shooting in the side cross-section image, such as hollow, reflection, and irregular droplet edge, to upgrade the quality of the solution droplet edge. The mathematical model is established for boundary position points extracted from the droplet side cross-section image. …”
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Kinetic simulation of uranium migration in granite fissure media of beishan, gansu, China: A case study based on the Laplace transform and inverse transform methods by Xianzhe Duan, Cong Du, Nan Li, Jiaxin Duan, Zhenping Tang

“…In this study, the granite rock masses in Beishan, Gansu were selected to construct a physical and mathematical model of U-238 migration using the Laplace transform and inverse transform methods. …”
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Phase II study of concomitant radiotherapy with atezolizumab in oligometastatic soft tissue sarcomas: STEREOSARC trial protocol by Nicolas Penel, Dominique Vaur, Juliette Thariat, Alexandre Escande, Jennifer le Guevelou, Colin Debaigt, Esma Saada-Bouzid, Julien Viotti, Nazim Khalladi, David Thibouw, Marie Pierre Sunyach, Laurence Moureau-Zabotto, Mohamed Benchalal, Ovidiu Veresezan, Anne Ducassou, Cecile le Pechoux, Maria Jolnerovski, Celine Bazille, Raphael Serre, Christine Lovera

“…The secondary objectives include PFS by immune response criteria, overall survival, quality-of-life evaluation and developing mathematical models of tumour growth and dissemination predictive of oligometastatic versus polymetastatic evolution. …”
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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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