Results 51 to 60 of about 6,505 (255)
Clinical Anatomy, EarlyView.ABSTRACT Fractal geometry describes complex, self‐similar patterns that repeat across spatial scales and is increasingly recognized as relevant in anatomical research. Indeed, the fractal organization is consistently observed in respiratory, cardiovascular, gastrointestinal, nervous, renal, hepatic, and dermatological systems.
Immacolata Belviso +7 more
wiley +1 more source
Nonseparated manifolds and completely unstable flows
International Journal of Mathematics and Mathematical Sciences, 1987 We define an order structure on a nonseparated n-manifold. Here, a nonseparated manifold denotes any topological space that is locally Euclidean and has a countable basis; the usual Hausdorff separation property is not required.
Sudhir K. Goel
doaj +1 more source
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, EarlyView.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, EarlyView.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Information &Functional Materials, EarlyView.The vapor‐deposited stacking strategy for multicolor halide scintillation films has been developed for chromatic X‐ray imaging, while enabling the systematic curation of a materials genome database. The effectiveness has been demonstrated through segmentation of complex circuit boards and 3D reconstruction of material density distributions.
Hao Wang, Shuai Zhang, Zhiguo Xia
wiley +1 more source
On the category of profinite spaces as a reflective subcategory
Applied General Topology, 2013 In this paper by using the ring of real-valued continuous functions $C(X)$, we prove a theorem in profinite spaces which states that for a compact Hausdorff space $X$, the set of its connected components $X/_{\sim}$ endowed with the quotient topology is ...
Abolfazl Tarizadeh
doaj +1 more source
A Connected Countable Hausdorff Space [PDF]
Proceedings of the American Mathematical Society, 1953 In Math. Ann. vol. 94 (1925) pp. 262-295, Urysohn gave an example of a connected Hausdorff space with only countably many points. Here is another. EXAMPLE 1. The points of the space are the rational points in the plane on or above the x-axis. If (a, b) is such a point and e>0, (a, b)+{(r, 0)1 either 1r-(a+b/31I2)|
openaire +1 more source
Exploring a Novel Conv‐Transformer Network for Multi‐Modality Heart Segmentation
iRADIOLOGY, EarlyView.We propose SFAM‐TransUnet for multimodality whole heart segmentation, a novel deep learning framework combining CNNs and transformers. Extensive experiments conducted on the clinical Multi‐Modality Whole Heart Segmentation datasets demonstrate that SFAM‐TransUnet outperforms various alternative methods.
Youyou Ding +6 more
wiley +1 more source
Spaces whose Pseudocompact Subspaces are Closed Subsets
Applied General Topology, 2004 Every first countable pseudocompact Tychonoff space X has the property that every pseudocompact subspace of X is a closed subset of X (denoted herein by “FCC”).
Alan Dow +3 more
doaj +1 more source
Multilinear Hausdorff operator and commutators on weighted Morrey and Herz spaces [PDF]
, 2021 Dao Van Duong, Ngo Thi Hong
openalex +1 more source