Results 51 to 60 of about 36,048 (260)

Discrete Limit Bohr–Jessen Type Theorem for the Epstein Zeta-Function in Short Intervals

open access: yesAxioms
We prove a probabilistic limit theorem for the Epstein zeta-function ζ(s;Q) in the interval [N,N+M] as N→∞, using discrete shifts ζ(σ+ikh;Q), where h>0 and σ>n−12 are fixed. Here, Q is a positive-definite n×n matrix, and the interval length M satisfies h−
Antanas Laurinčikas, Renata Macaitienė
doaj   +1 more source

A Representation of the Relative Entropy with Respect to a Diffusion Process in Terms of Its Infinitesimal Generator

open access: yesEntropy, 2014
In this paper we derive an integral (with respect to time) representation of the relative entropy (or Kullback–Leibler Divergence) R(μ||P), where μ and P are measures on C([0,T];Rd).
Oliver Faugeras, James MacLaurin
doaj   +1 more source

Refinement of amino‐acid conformation vs. difference density maps in time‐resolved serial femtosecond crystallography data analysis

open access: yesFEBS Open Bio, EarlyView.
The dFoCC pipeline starts with observed DED and resting‐state coordinates, which are then used to generate a library of triggered states. Correlation analysis of the calculated DED features of each candidate vs observed DED permits quantitative evaluation of candidate structural quality.
Meng Iao Fong   +3 more
wiley   +1 more source

Joint Discrete Approximation by Shifts of Hurwitz Zeta-Function: The Case of Short Intervals

open access: yesMathematics
Since 1975, it has been known that the Hurwitz zeta-function has a unique property to approximate by its shifts all analytic functions defined in the strip D={s=σ+it:1 ...
Antanas Laurinčikas   +1 more
doaj   +1 more source

Directed evolution of enzymes at the crossroads of tradition and innovation

open access: yesFEBS Open Bio, EarlyView.
An iterative cycle of data‐driven enzyme optimization comprising four stages: genetic diversification of a template enzyme, expression of protein variants, high‐throughput evaluation, and machine‐learning‐guided redesign of the next variant library.
Maria Tomkova   +2 more
wiley   +1 more source

Equivalents of the Riemann hypothesis involving the Gram points

open access: yesMathematical Modelling and Analysis
The Riemann hypothesis (RH) on zeros of the zeta-function $\zeta(s)$, $s=\sigma +it$, states that all zeros of $\zeta(s)$ in the strip $0< \sigma < 1$ lie on the line  $\sigma =1/2$. Several equivalents of RH are known.
Julija Karaliūnaitė   +1 more
doaj   +1 more source

BRAIN MR IMAGE SEGMENTATION BY MODIFIED ACTIVE CONTOURS AND CONTOURLET TRANSFORM

open access: yesICTACT Journal on Image and Video Processing, 2017
Multiresolution analysis is often used for image representation and processing because it can represent image at the split resolution and scale space.
P Nageswara Reddy   +2 more
doaj   +1 more source

Long‐Term Follow‐Up of Chemotherapy‐Associated Biological Aging in Women With Early Breast Cancer

open access: yesAging and Cancer, EarlyView.
Women threated with adjuvant chemotherapy for early breast cancer have sustained long‐term increase in p16INK4a,, a robust marker of cell senescence, suggesting a chemotherapy‐associated age acceleration. p16INK4a as well as other biomarkers may identify patients at greatest risk for senescence‐related diseases of aging.
Hyman B. Muss   +12 more
wiley   +1 more source

On Joint Approximation of Analytic Functions by Beurling Zeta-Functions

open access: yesMathematics
For j=1,…,r, let Pj be a system of generalized prime numbers, NPj the corresponding system of generalized integers, and ζPj(s), s=σ+it, the Beurling zeta-function. In the paper, we consider simultaneous approximation of a collection of analytic functions
Andrius Geštautas   +2 more
doaj   +1 more source

Super‐Refractory Status Epilepticus (SRSE) in a Patient With Compound Heterozygous OPA1 Variants: Case Report and Literature Review

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Super‐Refractory Status Epilepticus (SRSE) is a rare, life‐threatening neurological emergency with unclear etiology in many cases. Mitochondrial dysfunction, often due to disease‐causing genetic variants, is increasingly recognized as a cause, with each gene producing distinct pathophysiological mechanisms.
Pouria Mohammadi   +2 more
wiley   +1 more source

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