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Periodic multivariate formal power series
, 2022 A system of multivariate formal power series $\varphi$ with a homogeneous decomposition $\varphi=\sum_{k=0}^\infty\varphi_k$ is invertible under composition if $\varphi_0=0$ and $\mathrm{det}(\varphi_1)\ne 0.$ All invertible series over a field $K$ form ...
Zhang, Xue
core
ALGEBRAIC INDEPENDENCE OF CERTAIN FORMAL POWER SERIES (I) [PDF]
Journal of Sciences, Islamic Republic of Iran, 1991 We give a proof of the generalisation of Mendes-France and Van der Poorten's recent result over an arbitrary field of positive characteristic and then by extending a result of Carlitz, we shall introduce a class of algebraically independent series.
doaj
Journal of Function Spaces, 2021 Suppose pn be sequence of positive reals. By Hwpn, we represent the space of all formal power series ∑n=0∞anzn equipped with ∑n=0∞λan/n+1pn0. Various topological and geometric behavior of Hwpn and the prequasi ideal constructs by s-numbers and Hwpn have ...
Awad A. Bakery, M. H. El Dewaik
doaj +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Cognitive impairment is a common non‐motor symptom in Multiple Sclerosis (MS), negatively affecting autonomy and Quality of Life (QoL). Innovative rehabilitation strategies, such as semi‐immersive virtual reality (VR) and computerized cognitive training (CCT), may offer advantages over traditional cognitive rehabilitation (TCR ...
Maria Grazia Maggio +8 more
wiley +1 more source
ALGEBRAIC INDEPENENCE OF CERTAIN FORMAL POWER SERIES (II) [PDF]
Journal of Sciences, Islamic Republic of Iran, 1992 We shall extend the results of [5] and prove that if f = Z o a x ? Z [[X]] is algebraic over Q (x), where a = 1, ƒ 1 and if ? , ? ,..., ? are p-adic integers, then 1 ? , ? ,..., ?
doaj
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Introduction Glucagon‐like peptide‐1 receptor agonists (GLP‐1 RAs) have demonstrated significant weight‐reducing effects and may offer benefits in idiopathic intracranial hypertension (IIH); however, recent concerns about the risk of non‐arteritic anterior ischemic optic neuropathy (NAION) have emerged.
Faisal A. Al‐Harbi +9 more
wiley +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Chimeric antigen receptor (CAR) T‐cell therapy has been investigated in neurological diseases, encompassing both central nervous system malignancies and autoimmune disorders, thereby extending its application beyond hematological cancers.
Omar Alqaisi +5 more
wiley +1 more source
Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients
Discrete Dynamics in Nature and Society, 2006 This paper studies reciprocals of formal power series whose coefficients are monotone and bounded by a geometrically decaying sequence. Explicit and applicable, optimal decay rates are provided for the coefficients of the reciprocal series in terms of ...
Kenneth S. Berenhaut +2 more
doaj +1 more source
Recognizable formal power series on trees
Theoretical Computer Science, 1982 Trees are a very basic object in computer science. They intervene in nearly a;ly domain, and they are studied for their own, or used to represent conveniently a given situation. There are at least three directions where investigations on trees themselves are motivated, and this for different reasons.
Berstel, Jean, Reutenauer, C.
openaire +2 more sources
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Down syndrome regression disorder is a syndrome characterized by subacute loss of cognitive, behavioral, and functional abilities in individuals with Down syndrome. Electroencephalography abnormalities are frequently observed during evaluation, but it remains unclear whether these findings represent a dynamic marker of disease ...
Jonathan D. Santoro +14 more
wiley +1 more source