Results 31 to 40 of about 46,736 (253)
Musical Actions of Dihedral Groups [PDF]
The American Mathematical Monthly, 2009 The sequence of pitches which form a musical melody can be transposed or inverted. Since the 1970s, music theorists have modeled musical transposition and inversion in terms of an action of the dihedral group of order 24. More recently music theorists have found an intriguing second way that the dihedral group of order 24 acts on the set of major and ...
Alissa S. Crans +2 more
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Rota–Baxter Operators on Dihedral and Alternating Groups [PDF]
Advances in Group Theory and ApplicationsRota–Baxter operators on algebras, which appeared in 1960, have connections with different versions of the Yang–Baxter equation, pre- and postalgebras, double Poisson algebras, etc. In 2020, the notion of Rota–Baxter operator on a group was defined by L.
Alexey Galt, Vsevolod Gubarev
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Ratio Mathematica, 2022 Consider the set X = {1, 2, 3, 4} with 4 elements. A permutation of X is a function from X to itself that is both one one and on to. The permutations of X with the composition of functions as a binary operation is a nonabelian group, called the symmetric
C Anusha, V Anil Kumar
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ON APPLICATIONS OF THE DIHEDRAL GROUP TO INTERPOLATION PROBLEMS FOR ENTIRE FUNCTIONS
Проблемы анализа, 2023 We consider a particular case of the dihedral group of rotations and study linear poly-element functional equations associated with that group. We search for a solution in the class of functions that are holomorphic in the plane with a cut along “half”
Garif’yanov F. N., Strezhneva E. V.
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Molecular Oncology, EarlyView.Drug resistance limits treatment success in a subset of lung cancers driven by ROS1 gene alterations. Using patient‐derived cells and computer simulations, we studied three key mutations and how they affect five targeted drugs. The mutations reduced drug effectiveness in different ways by altering protein structure and behavior.
Farhan Ul Haq +8 more
wiley +1 more source
Units in Z_2(C_2 × D_infinity) [PDF]
International Journal of Group Theory, 2012 In this paper we consider the group algebra R(C_2 ×D_infinity). It is shown that R(C_2 ×D_infinity) can be represented by a 4 × 4 block circulant matrix.
Kanchan Joshi, Pooja Yadav, R. Sharma
doaj
Orthomorphisms of dihedral groups
Discrete Mathematics, 1997 An orthomorphism \(\phi\) of a finite group \(G\) is a permutation of \(G\) such that the mapping \(x\mapsto x^{-1}\phi (x)\) is also a permutation. Orthomorphisms \(\phi_1,\phi_2\) of \(G\) are orthogonal if the mapping \(x\mapsto \phi_1(x)^{-1}\phi_2(x)\) is a permutation of \(G.\) Denote by \(\omega (G)\) the maximum cardinality of a set of pairwise
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On commutation semigroups of dihedral groups [PDF]
Semigroup Forum, 2013 For G a group and g in G, we define mappings pg(G) and lg(G) from G into G by pg(x)=[x,g] and lg(x)=[g,x]. We let P(G) and L(G) denote the subsemigroups of the set of all mappings from G to G generated by {pg: g in G} and {lg: g in G}, respectively. P(G) and L(G) are called the right and left commutation semigroup of G, respectively.
DeWolf, Darien +2 more
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FEBS Open Bio, EarlyView.Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young +7 more
wiley +1 more source
FEBS Open Bio, EarlyView.The dFoCC pipeline starts with observed DED and resting‐state coordinates, which are then used to generate a library of triggered states. Correlation analysis of the calculated DED features of each candidate vs observed DED permits quantitative evaluation of candidate structural quality.
Meng Iao Fong +3 more
wiley +1 more source