Results 1 to 10 of about 23,188 (258)
IEEE Transactions on Information Theory, 2005 We present an extensive study of symmetric Boolean functions, especially of their cryptographic properties. Our main result establishes the link between the periodicity of the simplified value vector of a symmetric Boolean function and its degree.
Canteaut, Anne, Videau, Marion
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On circularly symmetric functions
Applied Mathematics Letters, 2010 AbstractIn this paper, we study the logarithmic coefficients of circularly symmetric functions. Also, we investigate the relative growth of successive coefficients of circularly symmetric functions. Furthermore, we obtain the sharp estimate for the order of ‖Dn|−|Dn−1‖ by using the method of the logarithmic coefficients.
Qin Deng
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$H$-Chromatic Symmetric Functions [PDF]
The Electronic Journal of Combinatorics, 2022 We introduce $H$-chromatic symmetric functions, $X_{G}^{H}$, which use the $H$-coloring of a graph $G$ to define a generalization of Stanley's chromatic symmetric functions. We say two graphs $G_1$ and $G_2$ are $H$-chromatically equivalent if $X_{G_1}^{H} = X_{G_2}^{H}$, and use this idea to study uniqueness results for $H$-chromatic symmetric ...
Nancy Mae Eagles +4 more
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Interpolation for Symmetric Functions
Advances in Mathematics, 1996 This paper contains two main results. First the paper establishes an interpolation formula for a symmetric function in \(k\) variables which reduces to the classical Lagrange interpolation formula if \(k=1\). Second the authors provide a simple derivation of an identity of \textit{R. A. Gustafson} and \textit{S. C. Milne} [Adv. Math. 48, 177-188 (1983;
Chen, William Y.C., Louck, James D.
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Topology and its Applications, 2003 Several classes of generalized metric spaces \((X,\tau)\) were characterized by \(g\)-functions \(g:\mathbb N \times X \rightarrow \tau\) such that \(x\in g(n,x)\) for each \(x\in X\) and each \(n\in \mathbb N\). The authors of this paper study the role of symmetric \(g\)-functions, i.e., such \(g\)-functions which satisfy \(x\in g(n,y)\) if and only ...
Good, Chris +2 more
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Le Matematiche, 1996 q analog of bessel functions, symmetric under the interchange of q and q^ −1 are introduced. The definition is based on the generating function realized as product of symmetric q-exponential functions with appropriate arguments.
Giuseppe Dattoli, Amalia Torre
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Lipschitz symmetric functions on Banach spaces with symmetric bases
Karpatsʹkì Matematičnì Publìkacìï, 2021 We investigate Lipschitz symmetric functions on a Banach space $X$ with a symmetric basis. We consider power symmetric polynomials on $\ell_1$ and show that they are Lipschitz on the unbounded subset consisting of vectors $x\in \ell_1$ such that $|x_n ...
M.V. Martsinkiv +3 more
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Product of Stanley symmetric functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We study the problem of expanding the product of two Stanley symmetric functions $F_w·F_u$ into Stanley symmetric functions in some natural way. Our approach is to consider a Stanley symmetric function as a stabilized Schubert polynomial $F_w=\lim _n ...
Nan Li
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On the correlation of symmetric functions [PDF]
Mathematical Systems Theory, 1996 N ...
Cai, Jin-Yi +2 more
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The symmetric KP hierarchy and affine Yangian of gl(1)
Nuclear Physics B, 2023 The symmetric functions Yλ(x) are a generalization of Schur functions Sλ(x), and Yλ(x) are symmetric about the x-axis and y-axis. As the Schur functions can be used to describe the tau functions of the KP hierarchy, in this paper, we define the symmetric
Na Wang, Ke Wu
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