Results 51 to 60 of about 26,540 (300)
Isometric Embeddings of Pro-Euclidean Spaces
Analysis and Geometry in Metric Spaces, 2015 In [12] Petrunin proves that a compact metric space X admits an intrinsic isometry into En if and only if X is a pro-Euclidean space of rank at most n, meaning that X can be written as a “nice” inverse limit of polyhedra.
Minemyer Barry
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Embeddings of compact Sasakian manifolds [PDF]
Mathematical Research Letters, 2007 Let M be a compact Sasakian manifold. We show that M admits a CR-embedding into a Sasakian manifold diffeomorphic to a sphere, and this embedding is compatible with the respective Reeb fields. We argue that a stronger embedding theorem cannot be obtained.
Ornea, Liviu, Verbitsky, Misha
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AN IMPROVED COMPACT EMBEDDING THEOREM FOR DEGENERATE SOBOLEV SPACES [PDF]
, 2020 This short note investigates the compact embedding of degenerate matrix weighted Sobolev spaces into weighted Lebesgue spaces. The Sobolev spaces explored are defined as the abstract completion of Lipschitz functions in a bounded domain Omega with ...
Monticelli, DD, Rodney, S
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Advanced Engineering Materials, EarlyView.This study demonstrates an efficient recycling route for out‐of‐spec AlSi10Mg atomized powders through compaction and arc remelting followed by suction casting. By correlating compaction load, cooling rate, and resulting microstructure, we show that intermediate pressures (50–80 kN) and rapid cooling refine dendrites, reduce porosity, and enhance ...
Mila Christy de Oliveira +4 more
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On the embedding of compact domains
Mathematische Zeitschrift, 1970 w 1. Introduction In an earlier paper [4], the author gave necessary and sufficient conditions for a topological left Ore domain to be topologically embeddable in its field of quotients. In w 2, we use the results of [4] to give a new proof of Warner's theorem on open embeddings [7].
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A Compact Spin‐Coated Graphene UWB Antenna for Breast Tumor Detection
Advanced Engineering Materials, EarlyView.A compact, spin‐coated graphene ultra‐wideband patch antenna designed for breast tumor detection, capable of distinguishing between malignant and benign tumors. This innovative antenna can serve as an effective initial screening tool, particularly in resource‐limited settings such as rural areas, where access to advanced medical equipment like MRI and ...
Raja Rashidul Hasan +9 more
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Optimal controls for a class of nonlinear evolution systems
Electronic Journal of Differential Equations, 2006 We consider the abstract nonlinear evolution equation $dot{z}+ Az =uBz +f$. Viewing $u$ as control, we seek to minimize $J(u)=int_{0}^{T}L(z(t),u(t)),dt$.
Abdelhaq Benbrik +2 more
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Pullback-Forward Dynamics for Damped Schrödinger Equations with Time-Dependent Forcing
Discrete Dynamics in Nature and Society, 2018 This paper deals with pullback dynamics for the weakly damped Schrödinger equation with time-dependent forcing. An increasing, bounded, and pullback absorbing set is obtained if the forcing and its time-derivative are backward uniformly integrable. Also,
Lianbing She, Yangrong Li, Renhai Wang
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Domain Representations Induced by Dyadic Subbases [PDF]
Logical Methods in Computer Science, 2015 We study domain representations induced by dyadic subbases and show that a proper dyadic subbase S of a second-countable regular space X induces an embedding of X in the set of minimal limit elements of a subdomain D of $\{0,1,\perp\}\omega$.
Hideki Tsuiki, Yasuyuki Tsukamoyo
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Advanced Engineering Materials, EarlyView.Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
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