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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 (October 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 (December 1, 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 (March 29, 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 (February 12, 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 (June 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 (February 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 (December 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, Kathleen Bogart, David Johnson, Jonathan H. Norris, Sarah Kilcoyne, and Louise Dalton. "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 (July 30, 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 adjustment and study quality. Results: Five studies were eligible for inclusion, all of which investigated psychosocial adjustment in participants with Moebius syndrome, a form of congenital facial palsy. Many parents reported their children to have greater social difficulties than general population norms, with difficulties potentially increasing with age. Other areas of psychosocial adjustment, including behaviour, anxiety and depression, were found to be more comparable to the general population. Discussion: Children and adolescents with Moebius syndrome may experience social difficulties. However, they also demonstrate areas of resilience. Further research including individuals with facial palsy of other aetiologies is required in order to determine the psychosocial adjustment of children and adolescents with facial palsy.

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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 (April 19, 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 patients (3M, 2F), for a total of seven feet (3R,4L), were primarily treated in our hospital with a peritalar release according to McKay at an average age of 9.4 months (Group 2). Diméglio score was used to assess CF severity. Three questionnaires were submitted for evaluation of subjective and functional results: American Orthopedics Foot and Ankle Society for Hindfoot (AOFAS), Foot and Ankle Outcome Score (FAOS), and Foot and Ankle Ability Measure (FAAM). Average AOFAS/FAOS/FAMM scores were 82.8, 84.8, and 82.3 for Group 1, and 93.2, 94.7, and 95.1 for Group 2 at an average follow-up of 16.9 and 13.3 years, respectively. The average Diméglio score improved from 15.5 to 4.8 in the long-term follow-up in Group 1 and from 14.6 to 3.8 in Group 2. The comparison between the groups showed better results for AOFAS, FAOS, and FAAM scores for Group 2, particularly for pain, function, and foot alignment and for the post-surgical Diméglio score. CF in MS is more severe and presented a higher relapse rate (58.8%) than idiopathic CF. Peritalar release showed no relapse and better subjective and functional results in the long-term follow-up compared to other surgical techniques

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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 (December 1, 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 reported for hoxb-1 mutant homozygotes (Goddard, J. M., Rossel, M., Manley, N. R. and Capecchi, M. R. (1996) Development 122, 3217–3228). As for the hoxb-1 mutations, the facial paralysis observed in mice homozygous for the hoxb-2 mutation results from a failure to form the somatic motor component of the VIIth (facial) nerve which controls the muscles of facial expression. Features of this phenotype closely resemble the clinical signs associated with Bell's Palsy and Moebius Syndrome in humans. The sternal defects seen in hoxb-2 mutant mice are similar to those previously reported for hoxb-4 mutant mice (Ramirez-Solis, R., Zheng, H., Whiting, J., Krumlauf, R. and Bradley. A. (1993) Cell 73, 279–294). The above results suggest that the hoxb-2 mutant phenotype may result in part from effects of the hoxb-2 mutation on the expression of both hoxb-1 and hoxb-4. Consistent with this proposal, we found that the hoxb-2 mutation disrupts the expression of hoxb-1 in cis. In addition, the hoxb-2 mutation changes the expression of hoxb-4 and the hoxb-4 mutation, in turn, alters the pattern of hoxb-2 expression. Hoxb-2 and hoxb-4 appear to function together to mediate proper closure of the ventral thoracic body wall. Failure in this closure results in severe defects of the sternum.

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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 (August 31, 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 (February 28, 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 approximation shows a good agreement with these high-precision methods, in particular for the location of the tricritical point. The behavior of order parameters and multisite (up to four-body) correlation functions is determined for all significant regions of the phase space.

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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 (February 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. As has been demonstrated, a complete symmetry of the systems with respect to permutation of variables does not prevent the emergence of their chaotic dynamics.

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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 (November 12, 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 applying it to the Farfalle pseudo-random constructions Kravatte and Xoofff. Our attacks turn out to be the most efficient method for these ciphers thus far.

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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 {{\mathbb{M}}} of M, which is determined by {\Lambda_{g}} up to an isometric isomorphism. Its Gelfand spectrum (the set of characters) plays the role of the material for constructing a relevant copy {(M^{\prime},g^{\prime})} of {(M,g)}. This copy is conformally equivalent to the original, provides {\partial M^{\prime}=\partial M}, {\Lambda_{g^{\prime}}=\Lambda_{g}}, and thus solves the problem.

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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 appears often bilateral and with a severe gradation. In our series, hearing loss is frequently seen in association with congenital facial nerve palsy. Other abnormalities are dysfunction of the abducens nerve, ophthalmological problems, retro- or micrognathism and abnormalities of limbs or heart. The majority of the children in our series underwent radiological imaging (CT and/or MRI): the facial nerve but also the vestibulocochlear nerve and middle and inner ear can be evaluated.ConclusionA multidisciplinary approach of congenital facial nerve palsy is recommended as it can affect various bodily functions. Radiological imaging needs to be done to acquire additional information that can be useful for diagnostic and therapeutic purposes. Although congenital facial nerve palsy may not be treatable itself, its comorbidities can be treated and improve the quality of life of the affected child.

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