Results 41 to 50 of about 4,545,650 (236)
Journal of Innovative Applied Mathematics and Computational SciencesKifilideen’s general matrix progression series of infinite terms is the summation of values of a collection of progressive members of the numbers series system.
Kifilideen Osanyinpeju
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The moments of infinite series.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1988 Consider a conditionally convergent series \(L(u)=\sum_{\gamma \in S}c(\gamma)e^{i\gamma u}\) \((u\in {\mathbb R})\) where \(S=\{\gamma \}\) is a sequence of real numbers with the limit infinity of \(| \gamma |\). Consider \[ M_{\lambda}(U)=(1/U)\int^{U}_{0}| L(u)|^{\lambda}\, du\quad (\lambda >0). \] Under suitable conditions on \(c(\gamma)\), we show
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Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
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Infinite lattice models by an expansion with a non-Gaussian initial approximation
Physics Letters B, 2019 Recently, a convergent series employing a non-Gaussian initial approximation was constructed and shown to be an effective computational tool for the finite size lattice models with a polynomial interaction.
Aleksandr Ivanov, Vasily Sazonov
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Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions
FEBS Letters, EarlyView.The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang +4 more
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Calculating Infinite Series Using Parseval\u27s Identity [PDF]
, 2020 Parseval\u27s identity is an equality from Fourier analysis that relates an infinite series over the integers to an integral over an interval, which can be used to evaluate the exact value of some classes of infinite series. We compute the exact value of
Poulin, James R
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Two criteria for trascendental sequences
Le Matematiche, 2001 The concept of trascendental sequence is defined in this contribution by means of the related trascendental series. The main results are two criteria for when certain sequences are trascendental. Several applications are presented.
Jaroslav Hančl
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On the numerical solution of Fredholm-type integro-differential equations using an efficient modified Adomian decomposition method [PDF]
Mathematics and Computational SciencesThe efficiency of the Adomian decomposition method in the solution of integro-differential equations cannot be overemphasized. However, improvement of the method is needed as its drawbacks have been analyzed and reported in recent literature.
Kabiru Kareem +2 more
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Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation
FEBS Letters, EarlyView.Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang +2 more
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Some Pitfalls in Introductory Programming Courses
Informatics in Education, 2012 This paper discusses some difficulties in teaching introductory courses to programming, paying particular attention to their mathematical nature. We consider some aspects, which have not been commented in detail in textbooks and often neglected by course
Teodosi TEODOSIEV, Anatoli NACHEV
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