Results 111 to 120 of about 691,952 (302)
Some properties of locally quasi-convex groups
, 1997 We prove in this paper that for a Hausdorff group topology on an Abelian group with sufficiently many continuous characters, there is an associated locally quasi-convex topology which is the strongest among all the locally quasi-convex group topologies ...
Montserrat Bruguera, M.
core +1 more source
Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
Beyond goniometry: 3D digital twinning of droplets from a single image
Droplet, EarlyView.We present a method to produce physics‐informed three‐dimensional digital twins of droplets from a single image for wettability analyses. We validate the method with goniometry and demonstrate its capabilities with advancing‐receding contact angle measurements, irregularly shaped droplets, and multi‐droplet systems, indicating strong potential for in ...
Isaac Berk, Emilie Luong, H. Jeremy Cho
wiley +1 more source
Mackey convergence and quasi-sequentially webbed spaces
International Journal of Mathematics and Mathematical Sciences, 1991 The problem of characterizing those locally convex spaces satisfying the Mackey convergence condition is still open. Recently in [4], a partial description was given using compatible webs.
Thomas E. Gilsdorf
doaj +1 more source
Deep Underground Science and Engineering, EarlyView.In response to the problem of strong mining pressure manifestation along the goaf roadway in a thick coal seam mining area, this study uses a new type of combined blasting roof cutting technology to effectively control the manifestation and deformation of mining pressure along the goaf roadway.
Xiaoding Xu +6 more
wiley +1 more source
High‐Voltage Stability of LiCoO2 Cathode Materials Composited With Vanadium‐Based Glass Coatings
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.Vanadium‐based glasses show fluidity and good wettability toward other materials at low temperatures. The controlled precipitation of nanocrystals in vanadium‐based glasses enhances the material's mechanical properties and electrical conductivity. The VPFL coatings bond to the LiCoO2 interface via chemical bonds.
Xu Wang +9 more
wiley +1 more source
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.Recent advances in carbon‐based anodes for alkali metal‐ion batteries are critically reviewed, with emphasis on biphenylene and other emerging carbon allotropes. Biphenylene exhibits exceptional theoretical electrochemical properties beyond conventional graphite, highlighting its strong potential as a next‐generation anode material once scalable ...
Adewale Hammed Pasanaje, Nirpendra Singh
wiley +1 more source