Results 51 to 60 of about 545,451 (275)

Exploring Chebyshev polynomial approximations: Error estimates for functions of bounded variation

AIMS Mathematics
Approximation theory plays a central role in numerical analysis, evolving through a variety of methodologies, with significant contributions from Lebesgue, Weierstrass, Fourier, and Chebyshev approximations. For sufficiently smooth functions, the partial
S. Akansha, Aditya Subramaniam
doaj   +1 more source

Predicting the Future Burden of Renal Replacement Therapy in Türkiye Using National Registry Data and Comparative Modeling Approaches

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Chronic kidney disease is a growing public health problem worldwide, and the number of patients requiring renal replacement therapy is steadily increasing. Türkiye has experienced a similar rise in both the incidence and prevalence of renal replacement therapy over the past decades; however, national‐level projections of future ...
Arzu Akgül, Neriman Sıla Koç, Berrak Itır Aylı   +2 more
wiley   +1 more source

Summation of Power Series by Self-Similar Factor Approximants

, 2003
A novel method of summation for power series is developed. The method is based on the self-similar approximation theory. The trick employed is in transforming, first, a series expansion into a product expansion and in applying the self-similar ...
Aubin, Bender, Canessa, Cheney, D. Sornette, Drozdov, Ei, Evans, Gluzman, Gluzman, Gluzman, Gluzman, Gluzman, Gorishny, Gradshteyn, Guida, He, Hioe, Honkonen, Johansen, Johansen, Johansen, Johansen, Kleinert, Komarova, Kröger, Lam, Landau, Mandelbrot, Miller, Moura, Okopinska, Onsager, Park, Roy, S. Gluzman, Sornette, Sornette, Thomas, Török, V.I. Yukalov, Yukalov, Yukalov, Yukalov, Yukalov, Yukalov, Yukalov, Yukalov, Yukalov, Yukalov, Yukalov, Yukalov, Yukalov, Yukalov, Yukalov, Yukalov, Yukalov, Zinn-Justin   +57 more
core   +1 more source

By dawn or dusk—how circadian timing rewrites bacterial infection outcomes

FEBS Letters, EarlyView.
The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo, Catherine S. Palmer, Jacqueline M. Kimmey   +2 more
wiley   +1 more source

A Closed-Form Approximation of Likelihood Functions for Discretely Sampled Diffusions: the Exponent Expansion [PDF]

, 2006
In this paper we discuss a closed-form approximation of the likelihood functions of an arbitrary diffusion process. The approximation is based on an exponential ansatz of the transition probability for a finite time step $\Delta t$, and a series ...
Capriotti, Luca
core   +3 more sources

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source

Modified Laplace transformation method and its application to the anharmonic oscillator

, 1997
We apply a recently proposed approximation method to the evaluation of non-Gaussian integral and anharmonic oscillator. The method makes use of the truncated perturbation series by recasting it via the modified Laplace integral representation.
Balsa R., Duncan A., Hirofumi Yamada, Naoki Mizutani   +3 more
core   +1 more source

Expansion of the Kullback-Leibler Divergence, and a New Class of Information Metrics

Axioms, 2017
Inferring and comparing complex, multivariable probability density functions is fundamental to problems in several fields, including probabilistic learning, network theory, and data analysis.
David J. Galas, Gregory Dewey, James Kunert-Graf, Nikita A. Sakhanenko   +3 more
doaj   +1 more source

In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS

FEBS Letters, EarlyView.
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka, Yuxi Liu, Stefano Maggi, Debnath Ghosal, Jue Wang, Prashant P. Damke, Stephen D. Carter, Wei Zhao, Sukhithasri Vijayrajratnam, Joseph P. Vogel, Carrie L. Shaffer, Grant J. Jensen   +11 more
wiley   +1 more source

A perturbative treatment for the bound states of the Hellmann potential [PDF]

, 2006
A new approximation formalism is applied to study the bound states of the Hellmann potential, which represents the superposition of the attractive Coulomb potential $-a/r$ and the Yukawa potential $b\exp (-\delta r)/r$ of arbitrary strength $b$ and ...
Ikhdair, Sameer M., Sever, Ramazan
core   +2 more sources