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Journal articles on the topic 'Moebius function'

Author: Grafiati

Published: 25 June 2021

Last updated: 29 July 2025

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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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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

Diamond, Harold G. "Comparing the Prime Number Theorem and the sum of the Moebius function." Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, no. 54 (2023): 143–59. https://doi.org/10.71352/ac.54.143.

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In classical analytic number theory, the Prime Number Theorem and the asymptotic estimate for the sum of the Moebius function can easily be deduced from one another. We show that the analogues of these relations do not necessarily imply one another in Beurling generalized number systems, and we give an explanation for this different behavior.

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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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7

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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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

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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10

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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11

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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Tracicaru, Manuela-Petronela, Rareș-Vasile Tracicaru, Delia Hînganu, and Marius Valeriu Hînganu. "The Etiology of Moebius Syndrome—Making the Case for Animal Models." International Journal of Molecular Sciences 26, no. 9 (2025): 4217. https://doi.org/10.3390/ijms26094217.

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Moebius syndrome (MBS) is a rare disease consisting of uni-/bilateral palsy of CN VI and VII without impairment of vertical eye movements. Its uncommon nature means that the etiology is still uncertain. It is thought to be caused by vascular lesions leading to infarction in the nuclei of cranial nerves VI and VII on the posterior aspect of the pons. However, several genes have also been discussed as possibly causative. We performed a literature search in the PUBMED database and on the Science Direct platform with terms related to the pathology and to each etiology individually. Included were o

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13

Liberton, Denise K., Konstantinia Almpani, Rashmi Mishra, et al. "Oral Health-Related Quality of Life in Rare Disorders of Congenital Facial Weakness." International Journal of Environmental Research and Public Health 21, no. 5 (2024): 615. http://dx.doi.org/10.3390/ijerph21050615.

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Congenital facial weakness (CFW) encompasses a heterogenous set of rare disorders presenting with decreased facial movement from birth, secondary to impaired function of the facial musculature. The aim of the present study is to provide an analysis of subject-reported oral health-related quality of life (OHRQoL) in congenital facial weakness (CFW) disorders. Forty-four subjects with CFW and age- and sex- matched controls were enrolled in an Institutional Review Board (IRB)-approved study. Demographic data, medical and surgical history, comprehensive oral examination, and the Oral Health Impact

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14

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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15

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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16

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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17

Blaschke, Petr, Miroslav Engliš, and El-Hassan Youssfi. "A Moebius invariant space of H-harmonic functions on the ball." Journal of Functional Analysis 288, no. 9 (2025): 110857. https://doi.org/10.1016/j.jfa.2025.110857.

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18

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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19

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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20

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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21

Monawwer, Syed Abdullah, Sajjad Ali, Raahim Naeem, et al. "Moebius Syndrome: An Updated Review of Literature." Child Neurology Open 10 (January 2023). http://dx.doi.org/10.1177/2329048x231205405.

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Moebius Syndrome, is a rare, non-progressive congenital neuropathological syndrome characterized primarily by the underdevelopment of the facial (CN VII) and abducens nerve (CN VI). Other features of Moebius Syndrome include facial nerve paresis, ophthalmoplegias, orthodontic deficiencies (including crowded dentition, swollen and hyperplastic gingiva, dental calculus, etc.), musculoskeletal abnormalities, and impaired mental function. Due to the rarity of the disorder, very few case studies have been reported in the literature. This article summarizes the significant features of the disease ac

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22

Manso-Bazús, Carmen, Nino Spataro, Elisabeth Gabau, et al. "Case report: Identification of a novel variant p.Gly215Arg in the CHN1 gene causing Moebius syndrome." Frontiers in Genetics 15 (January 31, 2024). http://dx.doi.org/10.3389/fgene.2024.1291063.

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Background: Moebius Syndrome (MBS) is a rare congenital neurological disorder characterized by paralysis of facial nerves, impairment of ocular abduction and other variable abnormalities. MBS has been attributed to both environmental and genetic factors as potential causes. Until now only two genes, PLXND1 and REV3L have been identified to cause MBS.Results: We present a 9-year-old male clinically diagnosed with MBS, presenting facial palsy, altered ocular mobility, microglossia, dental anomalies and congenital torticollis. Radiologically, he lacks both abducens nerves and shows altered symmet

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23

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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24

Bouillaguet, Charles. "Algorithm xxx: Evaluating a Boolean Polynomial on All Possible Inputs." ACM Transactions on Mathematical Software, October 10, 2024. http://dx.doi.org/10.1145/3699957.

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Evaluating a Boolean polynomial on all possible inputs (i.e. building the truth table of the corresponding Boolean function) is a simple computational problem that sometimes appears inside broader applications, for instance in cryptanalysis or in the implementation of more sophisticated algorithms to solve Boolean polynomial systems. Two techniques share the crown to perform this task: the “Fast Exhaustive Search” (FES) algorithm from 2010 (which is based on Gray Codes) and the space-efficient Moebius transform from 2021 (which is reminiscent of the FFT). Both require \(\mathcal{O}(d2^{n})\) o

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25

Rasing, Nathaniël B., Willianne A. van de Geest-Buit, On Ying A. Chan, et al. "Treatment Approaches for Altered Facial Expression: A Systematic Review in Facioscapulohumeral Muscular Dystrophy and Other Neurological Diseases." Journal of Neuromuscular Diseases, March 21, 2024, 1–31. http://dx.doi.org/10.3233/jnd-230213.

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Background: Facial weakness is a key feature of facioscapulohumeral muscular dystrophy (FSHD) and may lead to altered facial expression and subsequent psychosocial impairment. There is no cure and supportive treatments focus on optimizing physical fitness and compensation of functional disabilities. Objective: We hypothesize that symptomatic treatment options and psychosocial interventions for other neurological diseases with altered facial expression could be applicable to FSHD. Therefore, the aim of this review is to collect symptomatic treatment approaches that target facial muscle function

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26

Defever, Elke. "A double nightmare of racist violence in bande dessinée and film: Cauchemar Blanc (Moebius, 1974 and Kassovitz, 1991)." French Cultural Studies, November 10, 2024. http://dx.doi.org/10.1177/09571558241286636.

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The following article offers a comparative, contextualized analysis of two versions of Cauchemar Blanc: its initial iteration as a bande dessinée published in 1974 by Moebius and its cinematic adaptation in 1991 by Mathieu Kassovitz. By analyzing the aesthetic and discursive strategies used, the study demonstrates how the authors use visual media to expose the pervasiveness of racism in France. Though Kassovitz remains faithful to the original, his adaptation intensifies Moebius's critique of French attitudes toward immigration and the ethnic diversification of society through the addition of

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27

Jabbarov, Zafarjon Abdukarimovich Fakhrutdinova Mashkura Fazliddinovna Imomov Otamurod Normamatovich. "SOIL QUALITY INDICATORS OF CHEMICALLY DEGRADED." Web of Agriculture: Journal of Agriculture and Biological Sciences 2, no. 5 (2024). https://doi.org/10.5281/zenodo.13225294.

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Nowadays, due to the influence of industrialization, the increase in the effect of chemical degradation has led to the loss of specific physical, chemical, and biological quality indicators of the soil as a result of the influence of anthropogenic processes, which has led to a decrease in important ecosystem functions or an increase in environmental stress. [1] The main causes of chemical degradation of the soil and therefore the main threat to its ecological functions are reduction of organic matter, reduction of biological diversity, compaction, acidification, increase of local source and di

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28

Conaghan, Philip G., Ali Guermazi, Nathaniel Katz, et al. "OA04 A randomised controlled Phase II trial of LEVI-04, a novel neurotrophin-3 inhibitor, in knee osteoarthritis demonstrates substantially improved pain and function without deleterious effects on joint structure." Rheumatology 64, Supplement_3 (2025). https://doi.org/10.1093/rheumatology/keaf142.004.

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Abstract Background/Aims There is an urgent need for new OA therapies. Excess neurotrophins are implicated in OA pain. Previous OA therapies selectively targeting NGF provided analgesia but resulted in significant joint pathologies. LEVI-04, a p75NTR-Fc, first-in-class fusion protein, supplements endogenous p75NTR, inhibiting neurotrophin-3 and modulating neurotrophin levels. Preclinical studies supported efficacy and Phase I trials demonstrated safety. This phase II RCT aimed to assess efficacy and safety in people with knee OA. Methods This was a 20-week Phase II multicentre RCT in people wi

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29

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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30

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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31

Connor, Will. "Making It Magical." M/C Journal 26, no. 5 (2023). http://dx.doi.org/10.5204/mcj.3006.

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In the late 2010s, I owned and operated a bespoke drum-building company, and during that time, I was commissioned to build a frame drum by the partner of a musician who was also a magic practitioner. The commission was fitting despite my business not being related to magic or Paganism directly. I have been working with drum construction in all of my research projects during my academic career, a touring percussionist for decades, and the company focussed on making drums inspired by Lovecraftian narratives and Lovecraftian Futurist music. Due to the nature of Lovecraftian horror and science fic

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32

Emmerson, Parker. "Novel, Symbolic, Differential Spaces of Light: Insights into Cosmology and Special Relativity (The Speed of Light is Transcendental)." November 24, 2022. https://doi.org/10.5281/zenodo.7357607.

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Abstract: A differential velocity space is definedby:$$\begin{aligned}& D\left[D\left[D\left[D\left[D\left[D\left[\frac{\sqrt{l^2 \alpha^2-x^2 \gamma^2+2 r x \gamma \theta-r^2 \theta^2}}{\alpha}, l\right], x\right], r\right], \gamma\right], \theta\right], \alpha\right]- \\& \frac{2 \pi \sqrt{l^2 \alpha^2-x^2 \gamma^2+2 r x \gamma \theta-r^2 \theta^2}}{\alpha(\alpha \gamma \theta)^{1 / 3}}=\frac{\sqrt{-c^2 l^2 \alpha^2+c^2 x^2 \gamma^2-2 c^2 r x \gamma \theta+c^2 r^2 \theta^2+c^2 l^2 \alpha^2 \sin [\beta]^2}}{\sqrt{-1 \cdot l^2 \alpha^2+x^2 \gamma^2-2 . r x \gamma \theta+r^2 \theta^2+l^

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