Results 221 to 230 of about 56,264 (249)
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Combinatorics and fermion algebra
Il Nuovo Cimento B, 1973It is shown that the various types of normal terms arising from the normal ordering of a disordered product of fermion operators can be enumerated with the aid of a well-known combinatorial problem, called the problem of the rooks.
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Order and disorder in algebraic combinatorics
The Mathematical Intelligencer, 1992In the paper under review the author develops some ideas about intercommunications and distinctions between combinatorics and algebra, considering as examples two problems from combinatorics and algebra respectively. His considerations are summarized in the following three main principles: 1.
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On the Combinatorics of Free Algebras
1990In this survey paper I discuss recent results concerning free algebraic systems and I mention some old results which motivated them. There is no attempt to be comprehensive. The selection of topics is eclectic and personal but with a special emphasis on results of a combinatorial nature.
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Algebraic Combinatorics on Modes
2017In the mid-1970s, Alain Louvier worked out microtonal scales called modes of progressive transposition and used them in many musical works. These modes have similar properties to major modes and are related to diatonicism. Some of them were known by Ivan Wyschnegradsky and Georgy Rimsky–Korsakov, the grand-son of Nikolai.
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Symmetry, Combinatorics, Artificial Intelligence, Music and Spectroscopy
Symmetry, 2021Krishnan Balasubramanian
exaly
Miscellaneous Gems of Algebraic Combinatorics
2013An evil warden is in charge of 100 prisoners (all with different names). He puts a row of 100 boxes in a room. Inside each box is the name of a different prisoner. The prisoners enter the room one at a time. Each prisoner must open 50 of the boxes, one at a time. If any of the prisoners does not see his or her own name, then they are all killed.
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