Results 51 to 60 of about 64,373 (268)
Accurate Estimations of Any Eigenpairs of N-th Order Linear Boundary Value Problems
Mathematics, 2021 This paper provides a method to bound and calculate any eigenvalues and eigenfunctions of n-th order boundary value problems with sign-regular kernels subject to two-point boundary conditions.
Pedro Almenar, Lucas Jódar
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Demonstratio Mathematica, 1988 Let \(\lambda\) be an eigenvalue of a complex n by n matrix. Denote by m, \(m^*\) the multiplicity of \(\lambda\) as a root of the characteristic and minimal polynomial of the given matrix, respectively. Furthermore denote by \(\hat m\) the geometric multiplicity of \(\lambda\), i.e. the dimension of the corresponding eigenspace of \({\mathbb{C}}^ n\).
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Strong Coupling in all‐Polymer Planar Microcavities
Advanced Optical Materials, EarlyView.Strong Coupling has been achieved in an all‐polymer microcavity with dielectric contrast Δn = 0.33 doped with TDBC. A Rabi splitting of 39 meV has been measured opening novel perspectives for polymer photonics. ABSTRACT In this work, strong coupling effect is observed in all‐polymer planar microcavities incorporating TDBC J‐aggregates dispersed into ...
Daniela Di Fonzo +5 more
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Inverses and eigenvalues of diamondalternating sign matrices
Special Matrices, 2014 An n × n diamond alternating sign matrix (ASM) is a (0, +1, −1)-matrix with ±1 entries alternatingand arranged in a diamond-shaped pattern. The explicit inverse (for n even) or generalized inverse (for nodd) of a diamond ASM is derived.
Catral Minerva +3 more
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Rotating Fluorescent Nanodiamond Assemblies With Focused Laguerre–Gaussian Beams
Advanced Optical Materials, EarlyView.Self‐assembled fluorescent nanodiamond clusters are optically trapped and driven into controlled two‐dimensional rotation with Laguerre–Gaussian beams. With localized optical excitation, optically detected magnetic resonance spectra are collected at defined points along the orbit in a uniform external magnetic field.
Adam Stewart +5 more
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A note on strong resonance problems for p-Laplacian
Electronic Journal of Differential Equations, 2006 In this note, we study the existence of the weak solutions for the p-Laplacian with strong resonance, which generalizes the previous results in one-dimension.
Chunhua Jin, Yuanyuan Ke, Jingxue Yin
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Higher Eigenvalues of Graphs [PDF]
2009 50th Annual IEEE Symposium on Foundations of Computer Science, 2009 We present a general method for proving upper bounds on the eigenvalues of the graph Laplacian. In particular, we show that for any positive integer k, the k^{th} smallest eigenvalue of the Laplacian on a bounded-degree planar graph is O(k/n). This bound is asymptotically tight for every k, as it is easily seen to be achieved for planar grids.
Price, Gregory N. +3 more
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Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
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Journal of Statistical Physics, 2015 We prove that the complex conjugate (c.c.) eigenvalues of a smoothly varying real matrix attract (Eq. 15). We offer a dynamical perspective on the motion and interaction of the eigenvalues in the complex plane, derive their governing equations and discuss applications. C.c. pairs closest to the real axis, or those that are ill-conditioned, attract most
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Advanced Robotics Research, EarlyView.Pak Biawak, a necrobot, embodies an unusual fusion of biology and robotics. Designed to repurpose natural structures after death, it challenges conventional boundaries between nature and engineering. Its movements are precise yet unsettling, raising questions about sustainability, ethics, and the untapped potential of biointegrated machines.
Leo Foulds +2 more
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