Free semigroup actionsMetric mean dimensionLocal metric mean dimensionsSkew productIrregular setIn this paper, we introduce the notions of upper metric mean dimension,u-upper metric mean dimension,l-upper metric mean dimension of free semigroup actions for non-compact sets via Carath茅odory-Pesin ...
doi:10.1186/s13059-024-03429-xSpatial transcriptomicsDimension reductionPCASpatial domain detectionThe rapid advancement of spatial transcriptomics technologies has revolutionized our understanding of cell heterogeneity and intricate spatial structures within tissues and organs. However, the high dimensionality and...
GASTROINTESTINAL cancerOBJECTIVE: We aimed to evaluate whether individuals with type 2 diabetes (T2D) were at higher risk of developing a wide range of gastrointestinal diseases based on a population-based cohort study. RESEARCH DESIGN AND METHODS: This study included 374,125 participants fre...
ECOSYSTEMSAs an ecological strategy for species coexistence, some species adapt to a wide range of habitats, while others specialize in particular environments. Such 'generalists' and 'specialists' achieve normal ecological balance through a complex network of interactions between species. How...
,Y-m]]. Such rings are obtained from elements of A[X][[Y]]by bounding their total X-degree above by lambda on their Y-degree. However, we give a necessary and sufficient condition for the ring A [X, Y; lambda]to be S-Noetherian when lambda grows at least as fast as linear. It...
In this study, a k-nearest neighbor (kNN) method based on nonlinear directional dimension reduction is applied to gas-bearing reservoir prediction. The kNN method can select the most relevant training samples to establish a local model according to feature similarities. However, the kNN method ...
These discoveries provide the basis for using F to evaluate the usability of schematization methods.Lan, TianWu, ZhiweiSun, ChenzhenCheng, DonglinShi, XingZeng, GuangjunZhang, HongPeng, QianISPRS International Journal of Geo-Information