Results 181 to 190 of about 2,715,472 (212)
A parallel algorithm for generating Pareto-optimal radiosurgery treatment plans. [PDF]
Med Physda Silva J +4 more
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Exosomes: Historical Evolution and Emerging Roles in Dermatology. [PDF]
J Cosmet DermatolSchur N +6 more
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Free fermions and Schur expansions of multi-Schur functions
Journal of Combinatorial Theory - Series A, 2023 Multi-Schur functions are symmetric functions that generalize the supersymmetric Schur functions, the flagged Schur functions, and the refined dual Grothendieck functions, which have been intensively studied by Lascoux. In this paper, we give a new free-fermionic presentation of them.
Shinsuke Iwao
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Probability in the Engineering and Informational Sciences, 1989
We define two new classes of multistate coherent systems by requiring, among other conditions, that their structure functions be Schur-concave (Schurconvex). The M + 1 performance levels of both the systems and their components are represented by the set [0, 1,…, M]. We present basic structural properties of the new classes.
Abouammah, A. M. +2 more
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We define two new classes of multistate coherent systems by requiring, among other conditions, that their structure functions be Schur-concave (Schurconvex). The M + 1 performance levels of both the systems and their components are represented by the set [0, 1,…, M]. We present basic structural properties of the new classes.
Abouammah, A. M. +2 more
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Staircase skew Schur functions are Schur P-positive [PDF]
Journal of Algebraic Combinatorics, 2012 We prove Stanley's conjecture that, if delta_n is the staircase shape, then the skew Schur functions s_{delta_n / mu} are non-negative sums of Schur P-functions. We prove that the coefficients in this sum count certain fillings of shifted shapes. In particular, for the skew Schur function s_{delta_n / delta_{n-2}}, we discuss connections with Eulerian ...
Federico Ardila
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Journal of Algorithms, 1984
The authors discuss a combinatorial rule for expanding the product of Schur functions as a sum of Schur functions. They claim it to be new, but it is in fact \textit{H. O. Foulkes}' ``line of route'' method [cf. Discrete Math. 15, 235--252 (1976; Zbl 0338.05002)].
Jeffrey B. Remmel, Roger Whitney
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The authors discuss a combinatorial rule for expanding the product of Schur functions as a sum of Schur functions. They claim it to be new, but it is in fact \textit{H. O. Foulkes}' ``line of route'' method [cf. Discrete Math. 15, 235--252 (1976; Zbl 0338.05002)].
Jeffrey B. Remmel, Roger Whitney
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Israel Journal of Mathematics, 1992
Schur functions play an essential role in the representation theory of symmetric groups [see e.g. \textit{I. G. Macdonald}, Symmetric functions and Hall polynomials (Oxford, 1979; Zbl 0487.20007)]. In this article, the author extends the Vandermonde determinant and then generalizes the classical presentation of Schur functions as quotients of such ...
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Schur functions play an essential role in the representation theory of symmetric groups [see e.g. \textit{I. G. Macdonald}, Symmetric functions and Hall polynomials (Oxford, 1979; Zbl 0487.20007)]. In this article, the author extends the Vandermonde determinant and then generalizes the classical presentation of Schur functions as quotients of such ...
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On the product of a Schur function and a skew Schur function
Journal of Statistical Planning and Inference, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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GENERATING FUNCTION FOR SCHUR POLYNOMIALS
Bukovinian Mathematical Journal, 2022For the generating function $$ G_n(\mathbi{x},\mathbi{t})=\sum_{\lambda} \mathbi{s}_{\lambda}(x_1,x_2,\ldots, x_n) t_1^{\lambda_1 } t_2^{\lambda_2 } \cdots t_n^{\lambda_n}, $$ where the Sсhur polynomials $\mathbi{s}_{\lambda}(x_1,x_2,\ldots, x_n) $ are indexed by partitions $ \lambda $ of length no more than $ n $ the explicit form for $ n = 2,3 $ is ...
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Free fermionic Schur functions
Advances in MathematicsA large editing of the paper, many sections were changed or extended.
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