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The Zariski Topology on the Second Spectrum of a Module (II)

Bulletin of the Malaysian Mathematical Sciences Society, 2015
Let \(R\) be a commutative ring with identity and \(M\) an \(R\)-module. A non-zero submodule \(S\) of \(M\) is called second, if for each \(r\in R\), either \(rS=0\) or \(rS=S\). Suppose that \(\mathrm{X}^s(M)\) is the set of all second submodules of \(M\) and \(\mathrm{W}^s(N)=\{S\in \mathrm{X}^s(M)| S\nsubseteq N\}\) for each submodule \(N\) of \(M\)
Ansari-Toroghy, H.   +2 more
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Spectrum of second-harmonic generation for multimode fields

Physical Review A, 1990
We calculate the spectrum of second-harmonic generation (SHG) for multimode input fields. We show that SHG cannot be described as the degenerate limit of sum-frequency generation (SFG) for multimode fields, because the dynamical equations describing SFG do not properly account for this degeneracy.
, Band   +3 more
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ON THE SPECTRUM OF AN ELLIPTIC OPERATOR OF SECOND ORDER

Mathematics of the USSR-Sbornik, 1969
In this work sufficient conditions are obtained for the absence of a discrete spectrum on the continuous for a selfadjoint elliptic operator of second order. Bibliography: two titles.
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Digital spectrum analysis of the first and second heart sounds

Computers and Biomedical Research, 1974
Abstract : An application of spectrum analysis in phonocardiography is described. The authors propose that separate spectra be computed for the first and second heart sounds, and suggest how the spectra can be used in both experimental and clinical investigations.
E L, Frome, E L, Frederickson
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The Second Spark Spectrum of Tellurium

Nature, 1934
THE are and the spark spectra of tellurium, extending over the wide region between 7000 and 450 have been under investigation by me for the last two years under varying experimental conditions. Very useful data of the spectrum, especially in the vacuum region, have also been kindly made available to me by Dr. K. R. Rao and Prof. R. J. Lang.
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V.— On the Spectrum of Second Order Partial Differential Operators.

Proceedings of the Royal Society of Edinburgh. Section A. Mathematical and Physical Sciences, 1970
SynopsisIn a recent paper, Jyoti Chaudhuri and W. N. Everitt linked the spectral properties of certain second order ordinary differential operators with the analytic properties of the solutions of the corresponding differential equations. This paper considers similar properties of the spectrum of the corresponding partial differential operators.
Brown, K. J., Michael, I. M.
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The second frequency spectrum of Timoshenko beams

Journal of Sound and Vibration, 1981
Abstract A second spectrum of frequencies was reported in early analytical work on the vibrations of Timoshenko beams. However, in subsequent finite element modelling this phenomenon was either ignored or not definitively classified and recorded. In fact, from a recent finite element analysis with a high precision element it was even concluded that ...
G.R. Bhashyam, G. Prathap
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On the Classification of the Spectrum of Second Order Difference Operators

Mathematische Nachrichten, 2000
For given sequences of complex numbers \((a_n)\) and \((b_n)\), with \(n\geq 0\) and \(a_n\neq 0\) for all \(n\), the associated tridiagonal complex Jacobi matrix is \[ A:= \left[\begin{matrix} b_0&a_0&0&\cdots&\cdots\\ a_0&b_1&a_1&0&\cdots\\ 0&a_1&b_2&a_2&\cdots\cr \vdots&\ddots&\ddots&\ddots&\ddots\end{matrix} \right]. \] This matrix may be viewed as
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On the second spectrum of modules

Prykladni Problemy Mekhaniky i Matematyky, 2021
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The Second Spectrum of Timoshenko Beam

IX Congresso Nacional de Engenharia Mecânica, 2016
null Ana Carolina Azevedo Vasconcelos   +2 more
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