let $ m , n in mathbb{n}$, $d$ be a division ring, and $m_{m times n}(d)$ denote the bimodule of all $m times n$ matrices with entries from $d$. first, we characterize one-sided submodules of $m_{m times n}(d)$ in terms of left row reduced echelon or right column reduced echelon matrices with entries from $d$. next, we introduce the notion of a nest module of matrices with entries from $d$. we ...

Few studies have examined the impact of age on reactivity to concurrent think-aloud (TA) verbal reports. An initial study with 30 younger and 31 older adults revealed that thinking aloud improves older adult performance on a short form of the Raven's Matrices (Bors & Stokes, 1998, Educational and Psychological Measurement, 58, p. 382) but did not affect other tasks. In the replication experimen...

This paper studies the asymptotic behavior of a predator-prey model with stage structure for the predator. By using the theory of competitive systems, compound matrices and stability of periodic orbits, sufficient conditions are derived for the global stability of a positive equilibrium of the model.

Second additive compound matrices of the system’s Jacobian are used to formulate sufficient conditions rule out existence attractors with positive Lyapunov exponents. The criteria expressed in terms dissipation inequalities or Linear Matrix Inequalities amenable analytic verification. results extend applicability previous existing formulated discard periodic and almost oscillations. An e...

Pattern-matching finite-state techniques applied to lexical analysis of multiword expressions have received a significant boost from the possibility of intersecting lexical information encoded in lexicongrammar matrices and reference graphs. However, these methods show important limitations in real-life applications. This paper aims at assessing and describing the main drawbacks of this techniq...

In this work we present a thorough performance analysis of two algorithms for estimating Toeplitz covariance matrices, the structured sample covariance matrix estimator (SCME) and the structured normalised SCME (NSCME), which are employed by adaptive radar detectors against Gaussian and compound-Gaussian clutter. Performance predictions are checked with real-life sea clutter data. ( 2000 Elsevi...

We consider compound matrices and exterior products in order to generalize a fundamental relation between the eigenspace of a matrix A corresponding to a simple eigenvalue λ and certain minors of A − λI of order n − 1. By means of the Laplace Expansion Theorem, we show that if the geometric multiplicity of λ is k > 1, then the exterior product of k linearly eigenvectors corresponding to λ is un...

After the first visible photoluminescence (PL) from porous silicon (pSi), continuous efforts are made to fabricate Si-based compound nanomaterials embedded in matrices such as oxide, nitride, and carbide improve optical performance industrial acceptability. These nanomaterials’ functional desired properties (nanoparticles quantum dots matrices) can vary significantly when technologically releva...

ether (MTBE) determination in specific groundwater matrices. It demonstrates the importance of laboratory selection for compound analysis based upon technical experience and instrument capabilities. This method study was performed in support of a treatment technology demonstration for MTBE conducted under the EPA Superfund Innovative Technology Evaluation program. MTBE is an oxygenate added to ...