Results 61 to 70 of about 116,139 (242)
Thalamic connectivity mirrors spatial maps of network dysfunction in nonlesional focal epilepsy
Epilepsia, EarlyView.Abstract Objective Focal epilepsy is increasingly conceptualized as a network disorder, yet the extent to which network dysfunction reflects a shared phenotype remains unknown. Spatially conserved patterns of network dysfunction may implicate a centralized mechanism underlying widespread impairment.
Joline M. Fan +7 more
wiley +1 more source
Continuous isomorphisms onto separable groups
Applied General Topology, 2012 A condensation is a one-to-one continuous function onto. We give sufficient conditions for a Tychonoff space to admit a condensation onto a separable dense subspace of the Tychonoff cube Ic and discuss the differences that arise when we deal with ...
Luis Felipe Morales López
doaj +1 more source
Evolution of dynamical signature in the X-cube fracton topological order
Physical Review Research, 2022 As an unconventional realization of topological orders with an exotic interplay of topology and geometry, fracton (topological) orders feature subextensive topological ground-state degeneracy and subdimensional excitations that are movable only within a ...
Chengkang Zhou +4 more
doaj +1 more source
Progress of metabolomics‐centric multi‐omics research in medicine
iMetaOmics, EarlyView.The graphical abstract illustrates a holistic roadmap for metabolomics‐centric multi‐omics integration in medical research. The upper panel depicts the technological transition from traditional bulk analysis to high‐resolution single‐cell and spatial methodologies, specifically addressing inherent challenges such as molecular complexity and dynamic ...
Ziyi Wang +6 more
wiley +1 more source
Realization of Qi-Wu-Zhang model in spin-orbit-coupled ultracold fermions
Physical Review Research, 2023 Based on the optical Raman lattice technique, we experimentally realize the Qi-Wu-Zhang model for the quantum anomalous Hall phase in ultracold fermions with two-dimensional (2D) spin-orbit (SO) coupling. We develop an experimental protocol of pump-probe
Ming-Cheng Liang +8 more
doaj +1 more source
On a topology for invariant subspaces
Journal of Functional Analysis, 1968 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/33241/1/0000632 ...
Douglas, R. G., Pearcy, Carl
openaire +2 more sources
Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces
Journal of Graph Theory, EarlyView.ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) $G=(V,E)$ is said to be ( X , Y ) $(X,Y)$‐embeddable if any set of induced edge lengths from an ...
Sean Dewar +3 more
wiley +1 more source
The hull-kernel topology on prime ideals in ordered semigroups
Open MathematicsThe aim of this study is to develop the theory of prime ideals in ordered semigroups. First, to ensure the existence of prime ideals, we study a class of ordered semigroups which will be denoted by SIP{{\mathbb{S}}}_{IP}.
Wu Huanrong, Zhang Huarong
doaj +1 more source
Quantitative Controllability Index of Complex Networks
Advances in Mathematical Physics, 2018 In this paper, the controllability issue of complex network is discussed. A new quantitative index using knowledge of control centrality and condition number is constructed to measure the controllability of given networks.
Lifu Wang +3 more
doaj +1 more source
Fréchet–Urysohn subspaces of free topological groups
Topology and its Applications, 2016 The author investigates the Fréchet-Urysohn property of the subspace~\(F_4(X)\) (reduced words of length at most four) of the free topological group over a metrizable space~\(X\). The main theorem states that for a locally compact and metrizable space~\(X\) with a compact set of non-isolated points the following implication holds: if \(F_4(X)\)~is a k ...
openaire +1 more source