scholarly journals Supercongruences involving dual sequences

2017 ◽  
Vol 46 ◽  
pp. 179-216 ◽  
Author(s):  
Zhi-Wei Sun
Keyword(s):  
Dual Sequences

scholarly journals Congruences related to dual sequences and Catalan numbers

2022 ◽  
Vol 101 ◽  
pp. 103458
Author(s):  
Rong-Hua Wang ◽  
Michael X.X. Zhong
Keyword(s):  
Catalan Numbers ◽  
Dual Sequences

scholarly journals Closed paths whose steps are roots of unity

2011 ◽  
Vol DMTCS Proceedings vol. AO,... (Proceedings) ◽  
Author(s):  
Gilbert Labelle ◽  
Annie Lacasse
Keyword(s):  
Roots Of Unity ◽  
Explicit Formulas ◽  
Asymptotic Expressions ◽  
International Audience ◽  
Dual Sequences ◽  
Polygonal Paths

International audience We give explicit formulas for the number $U_n(N)$ of closed polygonal paths of length $N$ (starting from the origin) whose steps are $n^{\textrm{th}}$ roots of unity, as well as asymptotic expressions for these numbers when $N \rightarrow \infty$. We also prove that the sequences $(U_n(N))_{N \geq 0}$ are $P$-recursive for each fixed $n \geq 1$ and leave open the problem of determining the values of $N$ for which the $\textit{dual}$ sequences $(U_n(N))_{n \geq 1}$ are $P$-recursive. Nous donnons des formules explicites pour le nombre $U_n(N)$ de chemins polygonaux fermés de longueur $N$ (débutant à l'origine) dont les pas sont des racines $n$-ièmes de l'unité, ainsi que des expressions asymptotiques pour ces nombres lorsque $N \rightarrow \infty$. Nous démontrons aussi que les suites $(U_n(N))_{N \geq 0}$ sont $P$-récursives pour chaque $n \geq 1$ fixé et laissons ouvert le problème de déterminer les valeurs de $N$ pour lesquelles les suites $\textit{duales}$ $(U_n(N))_{n \geq 1}$ sont $P$-récursives.

scholarly journals Ideals of Numerical Semigroups and Error-Correcting Codes

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1406
Author(s):  
Bras-Amorós
Keyword(s):  
Secret Sharing ◽  
Error Correcting Codes ◽  
Numerical Semigroups ◽  
Secret Sharing Schemes ◽  
List Decoding ◽  
Generalized Hamming Weights ◽  
Resilient Functions ◽  
Weierstrass Semigroups ◽  
Hamming Weights ◽  
Dual Sequences

Several results relating additive ideals of numerical semigroups and algebraic-geometrycodes are presented. In particular, we deal with the set of non-redundant parity-checks, the codelength, the generalized Hamming weights, and the isometry-dual sequences of algebraic-geometrycodes from the perspective of the related Weierstrass semigroups. These results are related tocryptographic problems such as the wire-tap channel, t-resilient functions, list-decoding, networkcoding, and ramp secret sharing schemes.

3-D floorplanning using labeled tree and dual sequences

2008 ◽  
Author(s):  
Renshen Wang ◽  
Evangeline F. Y. Young ◽  
Yi Zhu ◽  
Fan Chung Graham ◽  
Ronald Graham ◽  
...  
Keyword(s):  
Labeled Tree ◽  
Dual Sequences

scholarly journals A q-analog of dual sequences with applications

2007 ◽  
Vol 28 (1) ◽  
pp. 214-227 ◽  
Author(s):  
Sharon J.X. Hou ◽  
Jiang Zeng
Keyword(s):  
Dual Sequences

scholarly journals Self-dual sequences

1987 ◽  
Vol 44 (2) ◽  
pp. 288-298 ◽  
Author(s):  
Tuvi Etzion
Keyword(s):  
Dual Sequences

Brain-Emitted Event-Related Potentials Recorded during Rapid Decision-Making May Be Useful in Monitoring the Neuropathogenesis of the Human Immunodeficiency Virus (HIV)

1995 ◽  
Vol 81 (1) ◽  
pp. 209-210 ◽  
Author(s):  
Steven E. Linnville
Keyword(s):  
Decision Making ◽  
Human Immunodeficiency Virus ◽  
Cognitive Processing ◽  
Neuronal Activity ◽  
Event Related Potentials ◽  
P300 Component ◽  
Immunodeficiency Virus ◽  
Related Potentials ◽  
Dual Sequences

Event-related potentials recorded from HIV-infected patients while they detected oddball targets during rapid delivery of dual sequences of tones showed the complete absence of the late, 300-msec, positive (P300) component, suggesting an alteration in the neuronal activity underlying cognitive processing.

scholarly journals „Poetyckie Dyptyki” w poezji ks. Janusza St. Pasierba

2014 ◽  
Vol 16 (1) ◽  
pp. 7 ◽  
Author(s):  
Małgorzata Peroń
Keyword(s):  
Subject Matter ◽  
General Rule ◽  
Dual Nature ◽  
The Subject ◽  
The Voice ◽  
Dual Sequences

‘Poetic diptychs’ in Fr. Janusz St. Pasierb’s poetry ‘Poetic diptychs’ distinguish themselves from a group o Fr. Janusz St. Pasierb’s poems inspired by the art of painting. These dual poems refer to the same branches of art (painting, sculpture, architecture) as a general rule. The dual sequences are put in the volumes next to each other. Apart from the subject matter they are linked by similar characteristics and nearly identical formulation of their titles. References to art are a pretext to ponder upon in a theological, existential and metapoetic manner. Dual nature of the voice points to multiple ways in which the visible can be interpreted. It also shows the necessity of precise defining of any meanings and presents the scope of difficulties related to inexpressibility.

Generalized Bernoulli Polynomials Revisited and Some Other Appell Sequences

2005 ◽  
Vol 12 (4) ◽  
pp. 697-716
Author(s):  
Pascal Maroni ◽  
Manoubi Mejri
Keyword(s):  
Functional Equation ◽  
Canonical Form ◽  
Bernoulli Polynomials ◽  
Positive Definite ◽  
Canonical Forms ◽  
Appell Sequences ◽  
Bernoulli Sequence ◽  
Generalized Bernoulli Polynomials ◽  
Dual Sequences

Abstract We study the problem posed by Nörlund in terms of dual sequences. We determine the functional equation fulfilled by the canonical form of any generalized Bernoulli sequence. Surprisingly these canonical forms are positive definite. Some results are given for an Euler sequence.

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