Results 61 to 70 of about 479,399 (272)
A generalization of spectral radius, numerical radius, and spectral norm
Linear Algebra and its Applications, 1987 The author defines three quantities, \(\rho\) (A), r(A), and \(\| A\|\), as scalar functions of a matrix A. These are \(\ell_ p\) norms of tuples formed respectively from the eigenvalues of A, the diagonal of a unitary similarity of A (that is, \(UAU^*)\), and the diagonal of a matrix unitarily equivalent to A (that is, UAV), where U, V are to be ...
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Arthritis Care &Research, EarlyView.Objective Sjögren's disease is an autoimmune disorder that can impact multiple organ systems, including the peripheral nervous system (PNS). PNS manifestations, which can exist concurrently, include mononeuropathies, polyneuropathies, and autonomic nervous system neuropathies.
Anahita Deboo +88 more
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Degree Deviation and Spectral Radius
The Electronic Journal of CombinatoricsFor a finite, simple, and undirected graph $G$ with $n$ vertices, $m$ edges, and largest eigenvalue $\lambda$, Nikiforov introduced the degree deviation of $G$ as$$s=\sum_{u\in V(G)}\left|d_G(u)-\frac{2m}{n}\right|.$$Contributing to a conjecture of Nikiforov, we show $\lambda-\frac{2m}{n}\leq \sqrt{\frac{2s}{3}}$.
Rautenbach, Dieter, Werner, Florian
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Topological radicals, V. From algebra to spectral theory [PDF]
, 2012 We introduce and study procedures and constructions in the theory of the joint spectral radius that are related to the spectral theory. In particular we devlop the theory of the scattered radical.
Shulman, Victor S., Turovskii, Yuri V.
core
Thermoreflectance Detection of Point Defects Resulting from Focused Ion Beam Milling
Advanced Engineering Materials, EarlyView.Focused ion beam (FIB) milling is a common tool for nanoscale material processing, however irradiation damage, redeposition, and contamination can occur. We use several characterization tools to show FIB‐induced effects beyond 1 mm from the milled area.
Thomas W. Pfeifer +3 more
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
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On local spectral radius [PDF]
Časopis pro pěstování matematiky, 1987 Let E be a Banach space and \(A\) a bounded linear operator on \(X\). Then for \(x\in A\) the local spectral radius \(r(A,x)\), of A with respect to \(x\) is defined by \[ r(A,x):=\overline{\lim}_{n\to \infty}\| A^ nx\|^{1/n}. \] Clearly, \(r(A,x)\leq r(A)\), the spectral radius of \(A\).
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Harnessing Fungal Biowelding for Constructing Mycelium‐Engineered Materials
Advanced Engineering Materials, EarlyView.Mycelium‐bound composites (MBCs) offer low‐carbon alternatives for construction, yet interfacial bonding remains a critical challenge. This review examines fungal biowelding as a biocompatible adhesive, elucidating mycelium‐mediated interfacial mechanisms and their role in material assembly. Strategies to optimize biowelding are discussed, highlighting
Xue Brenda Bai +2 more
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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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The first three largest values of the spectral norm of oriented bicyclic graphs [PDF]
Discrete Mathematics Letters, 2023 Kun Wei, Jianping Li
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