Results 121 to 130 of about 5,495,109 (374)
A conjugate decomposition of the Euclidean space [PDF]
Proceedings of the National Academy of Sciences, 1983 Given a closed convex cone K in the n -dimensional real Euclidean space R n and an n × n real matrix A that is positive definite on K
S.-P. Han, O. L. Mangasarian
openaire +3 more sources
Advanced Engineering Materials, EarlyView.This study examines the mechanical properties of triply periodic minimal surfaces (TPMS)‐based lattices, analyzing 36 architectures in elastic and plastic regimes. It evaluates the applicability of beam‐based scaling laws to TPMS lattices. Rigidity arises from the alignment of members with the load direction and solid regions preventing rotation.
Lucía Doyle +2 more
wiley +1 more source
Explicit Ramsey graphs and Erdos distance problem over finite Euclidean and non-Euclidean spaces [PDF]
The Electronics Journal of Combinatorics, 15 (2008), R5, 2007 We study the Erdos distance problem over finite Euclidean and non-Euclidean spaces. Our main tools are graphs associated to finite Euclidean and non-Euclidean spaces that are considered in Bannai-Shimabukuro-Tanaka (2004, 2007). These graphs are shown to be asymptotically Ramanujan graphs. The advantage of using these graphs is twofold.
arxiv
Distances between fixed-point sets in 2-dimensional Euclidean buildings are realised [PDF]
arXiv, 2022 We prove that if two finitely generated groups act on a metrically complete 2-dimensional Euclidean building, then the distance between their fixed-point sets is realised. Our proof uses the geometry of Euclidean buildings, which we view as CAT(0) spaces, and properties of ultrapowers of Euclidean buildings.
arxiv
Advanced Materials, EarlyView.Wearable sensors, empowered by AI and smart materials, revolutionize healthcare by enabling intelligent disease diagnosis, personalized therapy, and seamless health monitoring without disrupting daily life. This review explores cutting‐edge advancements in smart materials and AI‐driven technologies that empower wearable sensors for diagnostics and ...
Shuwen Chen +14 more
wiley +1 more source
Some generic hypersurfaces in a Euclidean space
AIMS MathematicsIn this paper, we find three nontrivial characterizations of Euclidean spheres. In the first result, we show that the existence of a nonzero nontrivial concircular vector field $ {\omega } $ on a compact and connected hypersurface $ N $ of the Euclidean ...
Hanan Alohali , Sharief Deshmukh
doaj +1 more source
Advanced Science, EarlyView.The study deciphers the landscapes of lineage‐related transcription factors in prostatic adenocarcinoma and neuroendocrine prostate cancer using an innovative approach. These findings, validated across cohorts, highlight TFs' roles in cell development and offer novel therapeutic targets.
Yu Wang +20 more
wiley +1 more source
Homothetic motions in Euclidean 3-space
Kuwait Journal of Science, 2014 A one-parameter homothetic motion of a rigid body in three-dimensional Euclidean space is defined by means of the Hamilton operators. We investigate some properties of this motion and show that it has only one pole point at every instant Furthermore ...
MEHDI JAFARI
doaj
Smoothness spaces of higher order on lower dimensional subsets of the Euclidean space [PDF]
arXiv, 2011 We study Sobolev type spaces defined in terms of sharp maximal functions on Ahlfors regular subsets of the Euclidean space and the relation between these spaces and traces of classical Sobolev spaces.
arxiv
Advanced Science, EarlyView.Based on a well‐established in vitro directed differentiation model and an integrated analysis of high‐density cell lineage trees (CLTs) and single‐cell transcriptomes, it is demonstrated that many subclones are formed by sub‐CLTs resembling each other in terms of both cell type compositions and topological structures.
Xiaoyu Zhang +14 more
wiley +1 more source