Determination of the number of components
The three-way table used for this statistical analysis can be found in the Supplementary Information files. For pre-processing, we performed centering and scaling in the second mode, where the variables…

The three-way table used for this statistical analysis can be found in the Supplementary Information files. For pre-processing, we performed centering and scaling in the second mode, where the variables…

To illustrate how the Transformer mechanism in this study diverges from previous approaches, a brief review of classic Transformer types is conducted through mathematical formulations. An overview of PointGA is then provided, followed by a…

The results of the IACUSUM control chart are summarized in Tables 1 and 2, applied to the scenarios with and without ME. In this analysis, we evaluate the effect of ME and its relevance for process monitoring. The covariate method is used as an…

To assess whether the GFDE-SBS model could accurately simulate water…

Karagah, A. et al. Correlation of radiomorphometric indices of the mandible and mandibular angle fractures. Heliyon 8 (9), e10549 (2022).
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Spherical latex beads (Invitrogen Nonionic latex beads from ThermoFisher Scientific, reference: N3746437) of 1 μm in diameter were used as a simple model for inert objects. Beads were diluted in Phosphate Buffered Saline…

Longo, S. K., Guo, M. G., Ji, A. L. & Khavari, P. A. Integrating single-cell and spatial transcriptomics to elucidate intercellular tissue dynamics. Nat. Rev. Genet. 22, 627–644 (2021).
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In this study, the numerical model involves solving the fluid flow, mass transfer, and heat transfer models. Under the fluid flow equation, the fluid is assumed to behave as a Newtonian and incompressible fluid due to having a very low viscosity…

The dataset used in this experiment comes from Last.FM, and it is an open-source dataset provided by a well-known music company. This dataset contains a large volume of user music listening records,…

The load-displacement curves of the structure under snow loads are shown in Fig. 7. For each example in the figure, the X-coordinate denotes the vertical displacement of the ridge node, and the Y-coordinate denotes the snow…