Results 61 to 70 of about 5,655,301 (288)
Artificial molecular machines and motors—Design and control of nanoscale motion
FEBS Letters, EarlyView.Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
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Symmetric subgroups in modular group algebras [PDF]
, 2010 This preprint is translated from the original journal publication in Russian: A. Konovalov and A. Tsapok, Symmetric subgroups of the normalised unit group of the modular group algebra of a finite p-group, Nauk. Visn. Uzhgorod. Univ., Ser. Mat., 9 (2004),
Krivokhata, A. G., Konovalov, Alexander
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On circularly symmetric functions
Applied Mathematics Letters, 2010 AbstractIn this paper, we study the logarithmic coefficients of circularly symmetric functions. Also, we investigate the relative growth of successive coefficients of circularly symmetric functions. Furthermore, we obtain the sharp estimate for the order of ‖Dn|−|Dn−1‖ by using the method of the logarithmic coefficients.
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Quasi-Symmetric Functions [PDF]
, 2000 Let Z denote the Leibniz-Hopf algebra, which also turns up as the Solomon descent algebra, and the algebra of noncommutative symmetric functions. As an algebra Z = Z , the free associative algebra over the integers in countably many indeterminates. The co-algebra structure is given by \(\mu({Z_n})=\sum\nolimits_{i = 0}^n{{Z_i}}\otimes{Z_{n-i}}\), Z 0 =
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Interpolation for Symmetric Functions
Advances in Mathematics, 1996 This paper contains two main results. First the paper establishes an interpolation formula for a symmetric function in \(k\) variables which reduces to the classical Lagrange interpolation formula if \(k=1\). Second the authors provide a simple derivation of an identity of \textit{R. A. Gustafson} and \textit{S. C. Milne} [Adv. Math. 48, 177-188 (1983;
Chen, William Y.C., Louck, James D.
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Characters and Chromatic Symmetric Functions [PDF]
The Electronic Journal of Combinatorics, 2021 Let $P$ be a poset, $\mathrm{inc}(P)$ its incomparability graph, and $X_{\mathrm{inc}(P)}$ the corresponding chromatic symmetric function, as defined by Stanley in Adv. Math., 111 (1995) pp.166–194. Let $\omega$ be the standard involution on symmetric functions.
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Stanley's character polynomials and coloured factorisations in the symmetric group [PDF]
, 2008 In Stanley [R.P. Stanley, Irreducible symmetric group characters of rectangular shape, Sém. Lothar. Combin. 50 (2003) B50d, 11 p.] the author introduces polynomials which help evaluate symmetric group characters and conjectures that the coefficients of ...
Rattan, Amarpreet, Rattan, A.
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Molecular Oncology, EarlyView.Arginine methylation can be viewed as a persistence‐prone post‐translational modification regulated by a network of PRMTs. Competitive and compensatory interactions among PRMTs can redistribute methylation across substrate pools shaped by sequence, structural, spatial, and environmental layers, reinforcing RNA‐processing, chromatin, and signaling ...
So Hyun Kwon, Ji Min Lee
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The group of endotrivial modules for the symmetric and alternating groups. [PDF]
, 2010 We complete a classification of the groups of endotrivial modules for the modular group algebras of symmetric groups and alternating groups. We show that, for n ≥ p2, the torsion subgroup of the group of endotrivial modules for the symmetric groups is ...
Mazza, Nadia, Hemmer, Dave, Carlson, Jon
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Symmetric and quasi-symmetric functions associated to polymatroids [PDF]
Journal of Algebraic Combinatorics, 2008 To every subspace arrangement X we will associate symmetric functions P[X] and H[X]. These symmetric functions encode the Hilbert series and the minimal projective resolution of the product ideal associated to the subspace arrangement. They can be defined for discrete polymatroids as well.
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