Results 211 to 220 of about 3,811 (236)
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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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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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Bounds for the derivative of schur functions
Ukrainian Mathematical Journal, 1976T h i s r e s u l t does not con ta in at a l l the a s s i g n e d coe f f i c i en t s a m and a m+ n. M o r e o v e r , for r - r 0 it w i l l be of this type only u n d e r the condi t ion l a m n = 1 l a m l 2. T h i s pape r is devoted to the so lu t ion of the above p r o b l e m for g iven va lues of the coef f i c ien t s ~m and a m + n , m _>
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A Multiprecision Derivative-Free Schur--Parlett Algorithm for Computing Matrix Functions
SIAM Journal on Matrix Analysis and Applications, 2021Nicholas J Higham, Xiaobo Liu
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Schur Q-Polynomials and Kontsevich–Witten Tau Function
Peking Mathematical Journal, 2023Chenglang Yang
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