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Resonant Domain Wall Dynamics in a Three‐Dimensional Magnetic Nano Double Helix
3D magnetic nanostructures promise exciting possibilities for magnetization dynamics. However, experimental realizations remain scarce. In nanoprinted cobalt double helices, time‐resolved X‐ray microscopy reveals harmonic domain wall dynamics. Simulations identify the mode and additional higher‐frequency resonances, revealing a rich dynamic landscape ...
Pamela Morales‐Fernández +15 more
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Fuzzy Sets and Systems, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin Bai Kim, Young Hee Kim
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin Bai Kim, Young Hee Kim
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Monatshefte f�r Mathematik, 2003
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Bergé, Anne-Marie, Martinet, Jacques
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Bergé, Anne-Marie, Martinet, Jacques
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2000
In the previous chapters we have considered the four main methods for the construction of spin eigenfunctions. We shall see in Chapter 9 that the main role of the spin functions in the energy expression is connected to the representation matrices of the symmetric group generated by the spin eigenfunctions.
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In the previous chapters we have considered the four main methods for the construction of spin eigenfunctions. We shall see in Chapter 9 that the main role of the spin functions in the energy expression is connected to the representation matrices of the symmetric group generated by the spin eigenfunctions.
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Skew-symmetric elements in the group algebra of a symmetric group
Algebra and Logic, 1984Let \(S_ n\) be the symmetric group on \(n\) letters and let \(\rho_ s=\sum_{t\in S_ n}(\text{sign}\;t)t^{-1}st\) for \(s\in S_ n\). The element \(\rho_ s\) depends only (up to a sign) on the conjugacy class of \(s\) and is non-zero if and only if the conjugacy class of \(s\) is determined by a partition with odd pairwise distinct parts. Let \(\lambda =
Zyrichev, A. N., Razmyslov, Yu. P.
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Chromatic Polynomials and the Symmetric Group
Graphs and Combinatorics, 2004The author gives a new combinatorial interpretation of the coefficients of chromatic polynomials of graphs in terms of subsets of permutations and introduces a combinatorially defined polynomial associated to a directed graph. He proves that it is related to the chromatic polynomials.
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Ars Comb., 2012
In this work, infinite similarities of permutation groups are investigated by means of new methods. For this purpose, we handle distinct groups on the set of natural numbers and we give the separation of the subgroups of them. Afterwards, we give the matrix representation of this groups.
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In this work, infinite similarities of permutation groups are investigated by means of new methods. For this purpose, we handle distinct groups on the set of natural numbers and we give the separation of the subgroups of them. Afterwards, we give the matrix representation of this groups.
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Designs and Representation of the Symmetric Group
Designs, Codes and Cryptography, 2003A spectral characterization ``à la Delsarte'' is given for colored designs held by codes over non-binary alphabets. The tools include association schemes and also the representation theory of the symmetric group: tableaux, Specht modules, and zonal functions.
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2017
Chapter 22 will describe the partition of \(W={\mathfrak S}_n\) into left, right and two-sided cells in terms of the Robinson–Schensted–Knuth correspondence. This will be obtained as an application of the methods developed in Chapters 8 and 9 (parabolic induction, cellular maps, coplactic/Vogan classes).
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Chapter 22 will describe the partition of \(W={\mathfrak S}_n\) into left, right and two-sided cells in terms of the Robinson–Schensted–Knuth correspondence. This will be obtained as an application of the methods developed in Chapters 8 and 9 (parabolic induction, cellular maps, coplactic/Vogan classes).
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