Results 41 to 50 of about 19,646 (265)

A Note on Rational Approximation [PDF]

open access: yesMathematics of Computation, 1960
p(x) = qo(x) * Tn +1 (x) + ro(x) YTn~l(x =-q1(x)W ro(x) + r1(x) ro(x) = q2-(X) * ri(x) + r2(x) r1() = q3(x) *r2(x) + r3(X), etc., where the (degrees of thie ri formr a strictly decreasing sequence. From these equations we may write r,(Q) = i(x) -.p(.x) + bi(x) . T.+1(x), where ai and bi are defined recursively by (a,=ai-. -qiai-?, a-1=O, a2= 1 lbi = bi-
openaire   +2 more sources

Design and analysis strategies for robust microbiome ageing research

open access: yesFEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik   +5 more
wiley   +1 more source

Reconstructing enzyme evolution by protein engineering

open access: yesFEBS 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
wiley   +1 more source

Approximation performance analysis of Oustaloup rational approximation of ideal fractance

open access: yes工程科学与技术, 2016
:Starting from operational characteristics, in this paper, the operational characteristics localization of zero-pole subsystem of Oustaloup was analyzed based on order-frequency and phase-frequency characteristic function.
Liu Panpan, Yuan Xiao
doaj  

The relationship between algebraic equations and $(n,m)$-forms, their degrees and recurrent fractions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
Algebraic and recursion equations are widely used in different areas of mathematics, so various objects and methods of research that are associated with them are very important.
I.I. Lishchynsky
doaj   +1 more source

Vector Fitting–Cauchy Method for the Extraction of Complex Natural Resonances in Ground Penetrating Radar Operations

open access: yesAlgorithms, 2022
In this paper, we obtain the Complex Natural Resonances of an object from the backscattered response in the frequency domain with a novel rational function approximation method based on both Vector Fitting and Cauchy methods.
Andres Gallego   +2 more
doaj   +1 more source

On monotone Rational Approximation

open access: yesJOURNAL OF UNIVERSITY OF BABYLON for Pure and Applied Sciences, 2017
In this chapter,we focus on the shape preserving approximation using rational  polynomials, for rational in _spaces, . In our work, we solve a problem raised by R. DeVore in several lectures for many years ago.
Bhaya, Eman S., Ahmed, Dhay Basim
openaire   +2 more sources

Identification of a Shiga toxin A‐derived peptide internalized into Gb3 receptor‐bearing cells via interaction with the Shiga toxin B subunit

open access: yesFEBS Letters, EarlyView.
The process of internalization of the Shiga toxin A subunit via formation of a complex with the Shiga toxin B subunit, which specifically binds to the Gb3 receptor. The peptide is designed to act as a carrier of drugs into cancer cells. Here, we explored the potential of peptides derived from the catalytic A subunit of Shiga toxin (STxA) to be drug ...
Giulia Opassi   +6 more
wiley   +1 more source

On rational approximation in a ball in ℂN

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
We study rational approximations of elements of a special class of meromorphic functions which are characterized by their holomorphic behavior near the origin in balls in ℂN by means of their rational approximants. We examine two modes of convergence for
P. W. Darko   +2 more
doaj   +1 more source

A Computational Method with MAPLE for a Piecewise Polynomial Approximation to the Trigonometric Functions

open access: yesMathematical and Computational Applications, 2018
A complete MAPLE procedure is designed to effectively implement an algorithm for approximating trigonometric functions. The algorithm gives a piecewise polynomial approximation on an arbitrary interval, presenting a special partition that we can get its ...
Le Phuong Quan
doaj   +1 more source

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