Results 51 to 60 of about 166,235,716 (309)

Sufficient Conditions for Convergence of Sequences of Henstock-Kurzweil Integrable Functions

open access: yesInternational Journal of Analysis and Applications, 2023
The main aim of this paper is to present our approach of obtaining sufficient conditions for convergence of sequences of Henstock-Kurzweil integrable functions. Our approach involves the use of the concept of multiplier functions, where we define a class
Yassin Alzubaidi
doaj   +1 more source

Modelling stem cell differentiation related processes—A practical overview for biologists

open access: yesFEBS Letters, EarlyView.
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar   +4 more
wiley   +1 more source

Approximation properties of multivariate exponential sampling series

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
In this paper, we generalize the family of exponential sampling series for functions of $n$ variables and study their pointwise and uniform convergence as well as the rate of convergence for the functions belonging to space of $\log$-uniformly continuous
S. Kurşun   +3 more
doaj   +1 more source

Rates of Convergence for the Functional LIL

open access: yesThe Annals of Probability, 1989
Let \(X,X_ 1,X_ 2,..\). be i.i.d. random variables such that E X\(=0\), E \(X^ 2=1\). Let S(t), \(t\geq 0\), be the polygonal process. The rate of convergence of the random sequence \[ \{S(n(\cdot))/(2n LL n)^{1/2},\quad n\geq 1\} \] to a compact convex symmetric subset of C[0,1] is obtained.
Goodman, Victor, Kuelbs, James
openaire   +3 more sources

Functional Convergence at the Retinogeniculate Synapse [PDF]

open access: yesNeuron, 2017
Precise connectivity between retinal ganglion cells (RGCs) and thalamocortical (TC) relay neurons is thought to be essential for the transmission of visual information. Consistent with this view, electrophysiological measurements have previously estimated that 1-3 RGCs converge onto a mouse geniculate TC neuron.
Elizabeth Y, Litvina, Chinfei, Chen
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

Convergence of Padé approximants of Stieltjes-type meromorphic functions and the relative asymptotics of orthogonal polynomials on the real line [PDF]

open access: yes, 2010
We obtain results on the convergence of Padé approximants of Stieltjes-type meromorphic functions and the relative asymptotics of orthogonal polynomials on unbounded intervals. These theorems extend some results given by Guillermo López in this direction
Bello-Hernández, Manuel   +2 more
core   +1 more source

Functions and Convergence [PDF]

open access: yes, 2004
A piecewise continuous function f(x) defined on an interval I is bounded (or L ∞) on I if there is a number M > 0 such that |f(x)| ≤ M for all x ∊ I.
openaire   +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

A Comparative Approach to Accelerate Backpropagation Neural Network Learning using different Activation Functions [PDF]

open access: yesJournal of the ACS Advances in Computer Science, 2009
Slow convergence and long training times are still the disadvantages often mentioned when neural networks are compared with other competing techniques.
doaj   +1 more source

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