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Optical Bound States in the Continuum in Subwavelength Gratings Made of an Epitaxial van der Waals Material. [PDF]
Pruszyńska-Karbownik E +11 more
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Block mapping class groups and their finiteness properties. [PDF]
Aramayona J +4 more
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Transmissive metasurface with 3.5-μm-thick liquid crystals for subterahertz-wave dynamic beamforming. [PDF]
Kitayama D +4 more
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Enhanced non resonant transmission through subwavelength apertures in conducting screens using self dual coats. [PDF]
Geva R +4 more
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Rigorous treatment of polytopal rearrangements reveal surprising complexity of stereoisomerism configuration landscapes. [PDF]
Canfield PJ, Crossley MJ.
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Lévy–Khinchin formula for the infinite symmetric group
Mathematische Zeitschrift, 2012A function \(f\) on a group \(G\) is said to be a positive type function if, for any \(g_1, g_2, \dotsc, g_n\in G\) and \(c_1, c_2, \dotsc, c_n\in \mathbb{C}\) \[ \sum_{i, j=1}^n c_i \overline{c_j} f(g_i^{-1}g_j)\geq 0. \] Also, a function \(\psi\) on \(G\) is said to be a negative type function if \(\psi(e)\geq 0\), \(\psi(g^{-1})=\overline{\psi(g)}\)
Mohamed Bouali
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Unbounded families and the cofinality of the infinite symmetric group
Archive for Mathematical Logic, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Simon Thomas
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Groupwise density and the cofinality of the infinite symmetric group
Archive for Mathematical Logic, 1998For a group \(G\) which is not finitely generated, the cofinality of \(G\), written \(c(G)\), is defined to be the least cardinal \(\lambda\) such that \(G\) is the union of a chain of \(\lambda\) proper subgroups. For an infinite cardinal \(\kappa\), denote \(c({\mathfrak{Sym}}(\kappa))\) by \(c_\kappa\). \textit{H.~D.
Simon Thomas
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