On the new sine-Gordon solitons of the generalized Korteweg-de Vries and modified Korteweg-de Vries models via beta operator by Yaya Wang, Md Nurul Raihen, Esin Ilhan, Haci Mehmet Baskonus

“…In this paper, we applied the sine-Gordon expansion method (SGEM) and the rational sine-Gordon expansion method (RSGEM) for obtaining some new analytical solutions of the (2+1)-dimensional generalized Korteweg-de Vries (gKdV) and modified Korteweg-de Vries (mKdV) equations with a beta operator. …”
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Identification of system models from potential-stream equations on the basis of deep learning on experimental data by I. E. Starostin, S. P. Khalyutin

“…As the potential flow equations describing the physicochemical processes are generally quite complicated for analytical transformations, the aforementioned relationship must be obtained by numerical methods. …”
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Experimental Study on Stability Analysis of a Structure During Excavation Beneath This Structure by Xiaotong He, Zhibin Zhong, Shangheng Huang, Baoxian Liu, Zhile Shu, Wenwu Zhong, Kai Cui, Lining Zheng, Qichao Liu

“…In this study, aiming at the practical application of additional layer excavation technology in the renewal and reconstruction of old urban communities, the influence of different excavation methods on the settlement behavior of existing structures is deeply analyzed through numerical simulation experiments. …”
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Shape factor analysis of water and aluminium oxide nanoparticles in a porous medium with slip effects by Prasun Choudhary, K. Loganathan, Kavita Jat, Kalpna Sharma, S. Eswaramoorthi

“…The achieved numerical outcomes are approved using an analytical approach known as the optimal auxiliary functions method. The implications of critical parameters on flow profiles and physical quantities are illustrated via graphs and tables. …”
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Similarity and wavelet transform based data partitioning and parameter learning for fuzzy neural network by Pramoda Patro, Krishna Kumar, G. Suresh Kumar, Gandharba Swain

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Neural Networks Detection of Low-Amplitude Components on ECG Using Modified Wavelet Transform by A. V. Mnevets, N. G. Ivanushkina

“… This study is devoted to identification of low amplitude components from ECG signals by different time-frequency analysis methods when main power spectrum falls on high-amplitude components. …”
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On the Extended Simple Equations Method (SEsM) for Obtaining Numerous Exact Solutions to Fractional Partial Differential Equations: A Generalized Algorithm and Several Applications by Elena V. Nikolova

“…The expansions made to the original SEsM algorithm are implemented in several directions: (1) In constructing analytical solutions: exact solutions to FNPDE systems are presented by simple or complex composite functions, including combinations of solutions to two or more different simple equations with distinct independent variables (corresponding to different wave velocities); (2) in selecting appropriate fractional derivatives and appropriate wave transformations: the choice of the type of fractional derivatives for each system of FNPDEs depends on the physical nature of the modeled real process. …”
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A multi-time scale charging load forecasting method for electric private cars based on an improved gravity model considering stochastic charging behavior by Xiaohong Dong, Ruize Wang, Xiaodan Yu

“…Electric Private Car (EPC) charging load forecasting is the basis of charging facility planning and long-term development of distribution network upgrading and transformation. However, most current studies focus on short-term charging load prediction, and rarely analyze the differences in charging loads in different day types and seasons in future years. …”
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Comparison of statistical methods for the analysis of patient-reported outcomes (PROs), particularly the Short-Form 36 (SF-36), in randomised controlled trials (RCTs) using standar... by Yirui Qian, Stephen J. Walters, Richard M. Jacques, Laura Flight

“…Transformed scale-based methods (OL, OP, BB, BLN, Frac, and BR) shared a similar pattern, except that OL generated higher absolute coefficients and BLN produced higher SESs than other methods. …”
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Analytical study of groundwater flow field and inrush flux distribution for deeply-buried circular arched tunnels by Yunbo WEI, Jinguo WANG, Zhou CHEN, Kexun ZHENG

“…Due to the limited analytical study on the flow field of circular arched tunnels, an analytical solution for the water inrush and the flow field in the surrounding rock around a deep-buried circular arched tunnel was obtained using the conformal transformation method. Then the distribution of water inrush around the tunnel circumference was explored. …”
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Method for obtaining and dual-energy processing of X-ray sinograms for identifying low-contrast ubstances in CT using sources with a continuous radiation spectrum by A.A. Komarskiy, S.R. Korzhenevskiy, V.V. Krinitsin

“…This allows dual-energy transformation to be performed not for CT slices but for sinograms obtained at different energy spectra of X-ray radiation. …”
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A Construction Method for a Coal Mining Equipment Maintenance Large Language Model Based on Multi-Dimensional Prompt Learning and Improved LoRA by Xiangang Cao, Xulong Wang, Luyang Shi, Xin Yang, Xinyuan Zhang, Yong Duan

“…This method leverages multi-dimensional prompt learning to guide LLMs in generating high-quality multi-task datasets for coal mining equipment maintenance, ensuring dataset quality while improving construction efficiency. …”
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Behavior change interventions to promote adoption of e-bike shared mobility in a rural area: evidence from a mixed-method field trial by Mark Wilson, Mark Wilson, Lorraine Whitmarsh, Lorraine Whitmarsh

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Prediction of Chemotherapy Response in Locally Advanced Breast Cancer Patients at Pre-Treatment Using CT Textural Features and Machine Learning: Comparison of Feature Selection Met... by Amir Moslemi, Laurentius Oscar Osapoetra, Archya Dasgupta, Schontal Halstead, David Alberico, Maureen Trudeau, Sonal Gandhi, Andrea Eisen, Frances Wright, Nicole Look-Hong, Belinda Curpen, Michael Kolios, Gregory J. Czarnota

“…We determined features from CT images in different level of frequencies using wavelet transform. …”
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A Comparative Study for Localization of Forgery Regions in Images by Mustafa Ozden, Canberk Sahin

“…In this study, we propose a method that combines the traditional techniques, such as Discrete Cosine Transform (DCT) and Discrete Wavelet Transform (DWT), with the advantages of deep learning methods to detect manipulated regions in forged images. …”
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Improving Harmonic Analysis Using Multitapering: Precise Frequency Estimation of Stellar Oscillations Using the Harmonic F-test by Aarya A. Patil, Gwendolyn M. Eadie, Joshua S. Speagle, David J. Thomson

“…., we developed a power spectrum estimation method, mtNUFFT (or multitaper nonuniform fast Fourier transform), for analyzing time series with quasi-regular spacing, and showed that it not only improves upon the statistical issues of the Lomb–Scargle (LS) periodogram, but also provides a factor of 3 speedup in some applications. …”
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$$\texttt {DiffER}$$ DiffER : categorical diffusion ensembles for single-step chemical retrosynthesis by Sean Current, Ziqi Chen, Daniel Adu-Ampratwum, Xia Ning, Srinivasan Parthasarathy

“…Abstract Methods for automatic chemical retrosynthesis have found recent success through the application of models traditionally built for natural language processing, primarily through transformer neural networks. …”
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Transformation of Event Trends in the Context of Socio-Cultural Development of Ukraine by Liudmyla Polishchuk

“…The comparison method allowed for the identification of differences in technologies, formats, and methods inherent in events of different years. …”
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Changes in plant CSR strategies under new anthropogenic transformations by Safonov Andrei

“…., and others) were analyzed on the territory of Donbass, which under conditions of geochemical contrast and physical transformation develop different strategies for their survival and population preservation. …”
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Reflecting on arts-based participatory research: considerations for more equitable transdisciplinary collaborations by Mia Strand, Yaseen Albany, Mandisa Nonhlanhla Lulama Buthelezi, Nozipiwo Hambaze, Anne Lemahieu, Fanelesibonge M Magwaza, Nina Rivers, Tarryn TB Swartbooi, Haseline van Vught, Bernadette Snow

“…Centralizing the use of arts-based methods in the form of storytelling and photography, we consider some key lessons emerging from this transdisciplinary research for transformative ocean governance. …”
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