The results shown in this paper will effectively provide scientific basis for the policy making in sustainable development of water environment. We believe scPoli will be useful as a tool for data integration and reference mapping given its improvements in the conservation of biological signals. Furthermore, we expect scPoli’s sample-level embeddings to provide researchers with another point of view over large-scale datasets, and pave the way to multi-scale analyses that investigate and link patterns at different scales. Single-cell atlassing is entering the stage of population-level studies, which implies the need for models across this level of variation. Considering the actual loading conditions of the finger beams during the working process of the contact finger seal, the boundary and load conditions of the multi-scale finite element model of the C/C composite finger beam were shown in Fig. Both the yarns and the matrix of C/C composite finger beam were meshed using 10-node quadratic tetrahedral elements (C3D10), with the mesh size of 0.2 mm.

• All models conditioned on an actual batch variable outperformed the one trained on a dummy covariate.
• The actual C/C composite for finger seals was composed of carbon fiber preform and carbon matrix by chemical vapor deposition (CVD).
• It is strange that landscape index of built-up land has negative correlation with TN and landscape index of forest has positive correlation with TN.
• If an operator is scale-rotation and translation invariant, it is called a shape operator; idempotent shape operators are called shape filters (Urbach and Wilkinson, 2002; Urbach et al., 2007).
• Their efficiency depends on the microscopic composition and morphology of the catalytic particles; EM with EDS is ideally suited for studying these properties.
• The main sources of variation between samples will change across datasets.

Systems Tasks

Every component in a modern vehicle is designed for safety, efficiency, and performance. Detailed characterization of automotive materials with electron microscopy and spectroscopy informs critical process decisions, product improvements, and new materials. Battery development is enabled by multi-scale analysis with microCT, SEM and TEM, Raman spectroscopy, XPS, and digital 3D visualization and analysis. Learn how this approach provides the structural and chemical information needed to build better batteries. We offer a range of EM and spectroscopy tools for multi-scale and multi-modal analysis of defects, allowing you to make reliable and informed decisions for process control and improvement.

Ordinary differential equations encode temporal evolution into machine learning

Et al. 45 also showed that obesity negatively affects brain function and structure, whereas bariatric surgery positively impacts the cognitive function of obese patients. In this study, LSG increased resting-state activity between the DLPFC and visual cortex, consistent with Li, G. Moreover, DLPFC, a core region of the PFN, is primarily involved in the regulation of executive functions 54, which may explain the observed postoperative improvements in executive function. Additionally, LSG increased rsFC between the temporal pole and language network, as well as between the fusiform gyrus (temporal lobe portion), and the dorsal attention network. Although studies have suggested that bariatric surgery can induce changes in the gut microbiota composition and improve cognitive impairments, the underlying mechanisms are unclear.

Multi-scale Simulation of Complex Systems: A Perspective of Integrating Knowledge and Data

• Multiscale modeling allows us to integrate physics-based knowledge to bridge the scales and efficiently pass information across temporal and spatial scales.
• Scale invariance, fractal statistics, the fractal dimension and measures of selfsimilarity also provide insight into the relationship between scales within a system.
• The mean of DO showed the lowest value in flood period, implying that the water quality was worse than other periods.
• Radial dynamic stiffness of finger beams with various displacement amplitudes.
• Figures 22 and 23 show two examples of image enhancement using, respectively, classical and adaptive toggle contrast.
• Several researchers have addressed the issue of whether land use near streams and rivers is a better predictor of water quality than land use over the entire catchment9.

Unlabeled cells are classified by comparing distances to the prototypes, and the label of the closest prototype is assigned as a predicted cell type label. We also exploit the distance of each cell to its closest prototype as a proxy for uncertainty. Finally, prototypes enable extending an initial reference atlas with novel cell types from a labeled query without retraining the reference model as opposed to existing methods24. ScPoli uses prototype-based cell label transfer and is augmented with an uncertainty estimation mechanism. We demonstrate that scPoli is competitive in data integration and cell annotation with other methods across six datasets.

At rest, DMN shows multi-scale analysis higher activity which decreases during externally oriented cognitive tasks 58. Similar findings by Cerit et al. 59 and Heinrichs et al. 60 suggest that bariatric surgery may normalize DMN connectivity, restoring negative inter-network connections, reducing task-unrelated thoughts, and improving task performance 48. Preoperative SN hyperconnectivity in obese patients may underlie excessive appetite integration and cognitive decline 61.

Furthermore, scPoli’s integration performance and label transfer accuracy were stable across runs and different dataset sizes (Methods and Supplementary Fig. 2). According to Hooke’s law, the deformation of an elastic body is proportional to the external force, and the ratio is the stiffness. Therefore, the radial stiffness k of the finger beam can be defined by the ratio of the radial force ΔF on the finger shoe to the corresponding radial displacement Δx, and expressed by Eq.