Results 41 to 50 of about 5,713 (273)

Exponential quantum communication reductions from generalizations of the Boolean Hidden Matching problem [PDF]

Theory of Quantum Computation, Communication, and Cryptography, 2020
In this work we revisit the Boolean Hidden Matching communication problem, which was the first communication problem in the one-way model to demonstrate an exponential classical-quantum communication separation.
J. F. Doriguello, A. Montanaro
semanticscholar   +1 more source

Generating functions for symmetric and shifted symmetric functions

, 2016
We describe generating functions for several important families of classical symmetric functions and shifted Schur functions. The approach is originated from vertex operator realization of symmetric functions and offers a unified method to treat various families of symmetric functions and their shifted analogues.
Jing, Naihuan, Rozhkovskaya, Natasha
openaire   +2 more sources

Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity [PDF]

Memoirs of the American Mathematical Society, 2018
We define an infinite sequence of generalizations, parametrized by an integer m ≥ 1 m \ge 1 , of the Stieltjes–Rogers and Thron–Rogers polynomials; they arise as the power-series expansions of some branched continued fractions, and as the ...
Mathias Pétréolle, A. Sokal, Bao-Xuan Zhu   +2 more
semanticscholar   +1 more source

On the monotonicity of games generated by symmetric submodular functions

Discrete Applied Mathematics, 2001
Submodular functions have appeared to be a key tool for proving the monotonicity of several graph searching games. In this paper we provide a general game theoretic framework able to unify old and new monotonicity results in a unique min-max theorem. Our theorem, provides a game theoretic analogue to a wide number of graph theoretic parameters such as ...
Fedor V. Fomin, Dimitrios M. Thilikos
openaire   +3 more sources

A generalization of complete and elementary symmetric functions

, 2020
In this paper, we consider the generating functions of the complete and elementary symmetric functions and provide a new generalization of these classical symmetric functions. Some classical relationships involving the complete and elementary symmetric functions are reformulated in a more general context.
Ahmia, Moussa, Merca, Mircea
openaire   +3 more sources

Symmetric Functions and Generating Functions for Descents and Major Indices in Compositions [PDF]

Annals of Combinatorics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fuller, Evan, Remmel, Jeffrey
openaire   +4 more sources

Discrete Transforms and Orthogonal Polynomials of (Anti)Symmetric Multivariate Cosine Functions [PDF]

SIAM Journal on Numerical Analysis, 2014
The discrete cosine transforms of types V--VIII are generalized to the antisymmetric and symmetric multivariate discrete cosine transforms. Four families of discretely and continuously orthogonal Chebyshev-like polynomials corresponding to the ...
J. Hrivnák, L. Motlochová
semanticscholar   +1 more source

TWO GENERALIZATIONS OF SKEW-SYMMETRIC SEQUENCES WITH ODD LENGTHS

ENVIRONMENT. TECHNOLOGIES. RESOURCES. Proceedings of the International Scientific and Practical Conference
The signals, exploited by the radar sensor networks and remote control systems, have to provide simultaneously high range resolution and ability to work stable in a hostile radio electronic environment.
B. Bedzhev, D. Dimitrov
semanticscholar   +1 more source

Diversity and complexity in neural organoids

FEBS Letters, EarlyView.
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley   +1 more source

Generalized $h$-Statistics and Other Symmetric Functions

The Annals of Statistics, 1974
Dwyer's (1937) $h$-statistic is extended to the generalized $h$-statistic $h_{p_1\cdots p_u}$ such that $E(h_{p_1\cdots p_u}) = \mu_{p_1} \cdots \mu_{p_u}$, similar to the extension of Fisher's $k$-statistic to the generalized $k$-statistic $k_{p_1\cdots p_u}$ requiring $E(k_{p_1\cdots p_u}) = \kappa_{p_1} \cdots \kappa_{p_u}$.
Tracy, D. S., Gupta, B. C.
openaire   +3 more sources