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Journal articles on the topic 'Moebius function'

Author: Grafiati

Published: 25 June 2021

Last updated: 11 March 2023

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1

Sinai, Ya G. "Statistical properties of the Moebius function." Automation and Remote Control 74, no. 10 (2013): 1607–13. http://dx.doi.org/10.1134/s0005117913100019.

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2

Ramaré, Olivier. "Explicit estimates on several summatory functions involving the Moebius function." Mathematics of Computation 84, no. 293 (2014): 1359–87. http://dx.doi.org/10.1090/s0025-5718-2014-02914-1.

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3

Ramaré, Olivier. "Corrigendum to Explicit estimates on several summatory functions involving the Moebius function." Mathematics of Computation 88, no. 319 (2019): 2383–88. http://dx.doi.org/10.1090/mcom/3449.

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4

Bourgain, J. "On the Fourier-Walsh spectrum of the Moebius function." Israel Journal of Mathematics 197, no. 1 (2013): 215–35. http://dx.doi.org/10.1007/s11856-013-0002-2.

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5

Grangé, Marcel. "Special Periodic Even Functions." Moroccan Journal of Pure and Applied Analysis 4, no. 1 (2018): 17–32. http://dx.doi.org/10.1515/mjpaa-2018-0003.

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AbstractIn this paper the periodic even functions for which all the regular Riemann sums vanishe are called special periodic even functions. A construction of some of them is put forward, this one rest on the Fourier serie and H. Davenport’s estimations concerning the Moebius function. The special periodic even functions seem linked to the number theory, as this can be seen on the Fourier serie result, on the proposed constructions and on the proof that such functions cannot belong to the Wiener algebra.

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6

Bourgain, Jean. "On the Fourier-Walsh spectrum of the Moebius function, II." Journal d'Analyse Mathématique 128, no. 1 (2016): 355–67. http://dx.doi.org/10.1007/s11854-016-0012-1.

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7

Ramaré, Olivier. "Some elementary explicit bounds for two mollifications of the Moebius function." Functiones et Approximatio Commentarii Mathematici 49, no. 2 (2013): 229–40. http://dx.doi.org/10.7169/facm/2013.49.2.3.

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8

Arazy, Jonathan, and Miroslav Engliš. "Qp-spaces on bounded symmetric domains." Journal of Function Spaces and Applications 6, no. 3 (2008): 205–40. http://dx.doi.org/10.1155/2008/342050.

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We generalize the theory ofQpspaces, introduced on the unit disc in 1995 by Aulaskari, Xiao and Zhao, to bounded symmetric domains inCd, as well as to analogous Moebius-invariant function spaces and Bloch spaces defined using higher order derivatives; the latter generalization contains new results even in the original context of the unit disc.

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9

Hotton, Matthew, Esme Huggons, Claire Hamlet, et al. "A Systematic Review of the Psychosocial Adjustment of Children and Adolescents with Facial Palsy: The Impact of Moebius Syndrome." International Journal of Environmental Research and Public Health 17, no. 15 (2020): 5528. http://dx.doi.org/10.3390/ijerph17155528.

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Introduction: Facial palsy is often associated with impaired facial function and altered appearance. However, the literature with regards to the psychological adjustment of children and adolescents with facial palsy has not been systematically reviewed to date. This paper aimed to review all published research with regards to psychosocial adjustment for children and adolescents with facial palsy. Methods: MEDLINE, CINAHL, Embase, PsychInfo and AMED databases were searched and data was extracted with regards to participant characteristics, study methodology, outcome measures used, psychosocial

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10

De Pellegrin, Maurizio, Lorenzo Marcucci, Lorenzo Brogioni, and Giovanni Prati. "Surgical Treatment of Clubfoot in Children with Moebius Syndrome." Children 8, no. 4 (2021): 310. http://dx.doi.org/10.3390/children8040310.

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Moebius syndrome (MS) is a rare disease, with paralysis of the VI and VII cranial nerves, frequently associated with clubfoot (CF). The aim of this study was to evaluate surgical treatment of CF in MS, providing its peculiarities. Between 1990 and 2019, we collected data of 11 MS patients with unilateral (n = 5) or bilateral (n = 6) CF, for a total of 17 feet (9R,8L). Six patients (3M,3F) for a total of 10 feet (6R,4L) were treated elsewhere, performing first surgery at an average age of nine months, and in our hospital for relapse surgery at an average age of 4.5 years (Group 1). Five patient

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11

He, Yefeng, and Yepeng Xing. "Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe." Abstract and Applied Analysis 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/382592.

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This paper is mainly concerned with the existence, stability, and bifurcations of periodic solutions of a certain scalar impulsive differential equations on Moebius stripe. Some sufficient conditions are obtained to ensure the existence and stability of one-side periodic orbit and two-side periodic orbit of impulsive differential equations on Moebius stripe by employing displacement functions. Furthermore, double-periodic bifurcation is also studied by using Poincaré map.

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12

Barrow, J. R., and M. R. Capecchi. "Targeted disruption of the Hoxb-2 locus in mice interferes with expression of Hoxb-1 and Hoxb-4." Development 122, no. 12 (1996): 3817–28. http://dx.doi.org/10.1242/dev.122.12.3817.

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Mice with a disruption in the hoxb-2 locus were generated by gene targeting. 75% of the hoxb-2 mutant homozygotes died within 24 hours of birth. While a majority of these mice had severe sternal defects that compromised their ability to breathe, some had relatively normal sternum morphology, suggesting that one or more additional factor(s) contributed to neonatal lethality. At 3–3.5 weeks of age, half of the remaining hoxb-2 homozygotes became weak and subsequently died. All of the mutants that survived to 3 weeks of age showed marked facial paralysis similar to, but more severe than, that rep

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13

Bukhman, A. V. "Recognition of Functions Invariant Under Moebius Transformation and Even Functions Defined in Polynomial Form." Computational Mathematics and Modeling 24, no. 4 (2013): 552–57. http://dx.doi.org/10.1007/s10598-013-9198-6.

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14

BUZANO, C., and L. R. EVANGELISTA. "THREE- AND FOUR-BODY CORRELATION FUNCTIONS FOR THE BLUME-CAPEL MODEL." International Journal of Modern Physics B 07, no. 05 (1993): 1259–74. http://dx.doi.org/10.1142/s0217979293002316.

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The Cluster Variation Method (CVM), in its recent formulation using the Moebius Inversion, is applied to study the critical properties of the face-centered-cubic Blume-Capel model in the triangle and tetrahedron approximations. We develop a procedure which preserves the characteristics of Kikuchi’s Natural Iteration Method, moreover reducing considerably the number of involved variables. The resulting phase diagram is compared with that obtained from lower orders of CVM approximation (single-site and pair) and from other methods (series expansions, Monte Carlo, …). The tetrahedron approximatio

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15

LIKHOSHVAI, VITALY A., STANISLAV I. FADEEV, VLADISLAV V. KOGAI, and TAMARA M. KHLEBODAROVA. "ON THE CHAOS IN GENE NETWORKS." Journal of Bioinformatics and Computational Biology 11, no. 01 (2013): 1340009. http://dx.doi.org/10.1142/s021972001340009x.

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The methods for constructing "chaotic" nonlinear systems of differential equations modeling gene networks of arbitrary structure and dimensionality with various types of symmetry are considered. It has been shown that an increase in modality of the functions describing the control of gene expression efficiency allows for a decrease in the dimensionality of these systems with retention of their chaotic dynamics. Three-dimensional "chaotic" cyclic systems are considered. Symmetrical and asymmetrical attractors with "narrow" chaos having a Moebius-like structure have been detected in such systems

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16

Kalverboer, A. F., R. Coultre, and P. Casaer. "Implications of Congenital Ophthalmoplegia for the Development of Visuo-motor Functions (Illustrated by a Case with the Moebius Syndrome)." Developmental Medicine & Child Neurology 12, no. 5 (2008): 642–54. http://dx.doi.org/10.1111/j.1469-8749.1970.tb01974.x.

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17

Zhou, Haibo, Rui Zong, Xiaoyang Dong, Keting Jia, and Willi Meier. "Interpolation Attacks on Round-Reduced Elephant, Kravatte and Xoofff." Computer Journal, August 5, 2020. http://dx.doi.org/10.1093/comjnl/bxaa101.

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Abstract We introduce an interpolation attack using the Moebius Transform. This can reduce the time complexity to get a linear system of equations for specified intermediate state bits, which is general to cryptanalysis of some ciphers with update function of low algebraic degree. Along this line, we perform an interpolation attack against Elephant-Delirium, a round 2 submission of the ongoing national institute of standards and technology (NIST) lightweight cryptography project. This is the first third-party cryptanalysis on this cipher. Moreover, we promote the interpolation attack by applyi

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18

Belishev, M. I., and D. V. Korikov. "On the EIT problem for nonorientable surfaces." Journal of Inverse and Ill-posed Problems, December 18, 2020. http://dx.doi.org/10.1515/jiip-2020-0129.

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AbstractLet {(\Omega,g)} be a smooth compact two-dimensional Riemannian manifold with boundary and let {\Lambda_{g}:f\mapsto\partial_{\nu}u|_{\partial\Omega}} be its DN map, where u obeys {\Delta_{g}u=0} in Ω and {u|_{\partial\Omega}=f}. The Electric Impedance Tomography Problem is to determine Ω from {\Lambda_{g}}. A criterion is proposed that enables one to detect (via {\Lambda_{g}}) whether Ω is orientable or not. The algebraic version of the BC-method is applied to solve the EIT problem for the Moebius band. The main instrument is the algebra of holomorphic functions on the double covering

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19

Baelen, Hermine, Anne-Marie Esschendal, Yannick De Brucker, Ina Foulon, Vedat Topsakal, and Frans Gordts. "Congenital facial nerve palsy: Single center study." Frontiers in Pediatrics 11 (February 20, 2023). http://dx.doi.org/10.3389/fped.2023.1077238.

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ObjectivesThis study will list the most common comorbidities of congenital facial nerve palsy and how to detect and treat them, with special attention for ENT-problems such as hearing loss. Congenital facial nerve palsy is a very rare entity but in UZ Brussels hospital there was a follow-up of 16 children in the last 30 years.MethodsLiterature review has been done, combined with thorough research of our own series of 16 children with congenital facial nerve palsy.ResultsCongenital facial nerve palsy can be part of a known syndrome, most commonly Moebius syndrome, but can also appear solely. It

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