88,915 research outputs found

    L'Apanage de Philippe-Égalité, duc d'Orléans (1785-1791 ) Béatrice F. Hyslop

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    Bergeron Louis. L'Apanage de Philippe-Égalité, duc d'Orléans (1785-1791 ) Béatrice F. Hyslop. In: Annales. Économies, Sociétés, Civilisations. 25ᵉ année, N. 2, 1970. pp. 526-527

    Tensorial square of the hyperoctahedral group coinvariant space

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    The purpose of this paper is to give an explicit description of the trivial and alternating components of the irreducible representation decomposition of the bigraded module obtained as the tensor square of the coinvariant space for hyperoctahedral groups

    Alien Registration- Bergeron, Joseph F. (Auburn, Androscoggin County)

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    https://digitalmaine.com/alien_docs/30873/thumbnail.jp

    Procès du coup de pistolet, publié par deux sectionnaires [Louis Bergeron et Philippe-François-Hippolyte Benoist]

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    [Factum. Bergeron, Louis. 1833][Factum. Benoist, Philippe-François-Hippolyte. 1833]Avec mode text

    Comparison of Bergeron and Frequency-dependent cable models for the simulation of electromagnetic transients

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    The simulation of electromagnetic transients involving underground cables is very time consuming, when compared with simulations involving overhead lines, and Bergeron models are often used instead of the more accurate frequency-dependent models, in order to reduce the simulation time. This paper analyses the simulation errors of different Bergeron models to a reference frequency-dependent model for a 150kV cable. The simulations consider flat and trefoil installation, both-ends bonding and cross-bonding, ideal voltage source and modelling of the area around the cable. The Bergeron model is simulated for three different target frequencies: transient’s resonance frequency, 50Hz and an in-between frequency. The results are analysed theoretically using modal propagation theory and the error is quantified for the case under examination. It is concluded that for a realistic case, which requires the modelling of the area around the cable being energised, the Bergeron model has a small error if tuned for the right frequency

    A filtration of (q,t)-Catalan numbers

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    AbstractThe operator ∇ of F. Bergeron, Garsia, Haiman and Tesler [F. Bergeron, A. Garsia, M. Haiman, G. Tesler, Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions, Methods Appl. Anal. 6 (1999) 363–420] acting on the k-Schur functions [L. Lapointe, A. Lascoux, J. Morse, Tableaux atoms and a new Macdonald positivity conjecture, Duke Math. J. 116 (2003) 103–146; L. Lapointe, J. Morse, Schur functions analogs for a filtration of the symmetric functions space, J. Combin. Theory Ser. A 101 (2003) 191–224; L. Lapointe, J. Morse, Tableaux on k+1-cores, reduced words for affine permutations and k-Schur expansion, J. Combin. Theory Ser. A 112 (2005) 44–81] indexed by a single column has a coefficient in the expansion which is an analogue of the (q,t)-Catalan number with a level k. When k divides n we conjecture a representation theoretical model in this case such that the graded dimensions of the module are the coefficients of the (q,t)-Catalan polynomials of level k. When the parameter t is set to 1, the Catalan numbers of level k are shown to count the number of Dyck paths that lie below a certain Dyck path with q counting the area of the path

    Inequalities between Littlewood-Richardson coefficients

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    We prove that a conjecture of Fomin, Fulton, Li, and Poon, associated to ordered pairs of partitions, holds for many infinite families of such pairs. We also show that the bounded height case can be reduced to checking that the conjecture holds for a finite number of pairs, for any given height. Moreover, we propose a natural generalization of the conjecture to the case of skew shapes. (c) 2005 Elsevier Inc. All rights reserved

    On Bergeron\u27s positivity problem for q -binomial coefficients

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    F. Bergeron recently asked the intriguing question whether ((b+c)/b)q-((a+d)/d)q has nonnegative coefficients as a polynomial in q, whenever a, b, c, dare positive integers, a is the smallest, and ad=bc. We conjecture that, in fact, this polynomial is also always unimodal, and combinatorially show our conjecture for a≤3 and any b, c≥4. The main ingredient will be a novel (and rather technical) applicationof Zeilberger’s KOH theorem

    On the similarity of sets of permutations and its applications to genome comparison

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    Bergeron A, Stoye J. On the similarity of sets of permutations and its applications to genome comparison. In: Proc. of COCOON 2003. LNCS. Vol 2697. 2003: 68-79.The comparison of genomes with the same gene content relies on our ability to compare permutations, either by measuring how much they differ, or by measuring how much they are alike. With the notable exception of the breakpoint distance, which is based on the concept of conserved adjacencies, measures of distance do not generalize easily to sets of more than two permutations. In this paper, we present a basic unifying notion, conserved intervals, as a powerful generalization of adjacencies, and as a key feature of genome rearrangement theories. We also show that sets of conserved intervals have elegant nesting and chaining properties that allow the development of compact graphic representations, and linear time algorithms to manipulate them
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