Results 21 to 30 of about 63,200 (305)
Generalized Limit Theorem for Mellin Transform of the Riemann Zeta-Function
In the paper, we prove a limit theorem in the sense of the weak convergence of probability measures for the modified Mellin transform Z(s), s=σ+it, with fixed 1 ...
Antanas Laurinčikas +1 more
doaj +1 more source
Multivariate normal approximation in geometric probability
Consider a measure μλ = Σx ξx δx where the sum is over points x of a Poisson point process of intensity λ on a bounded region in d-space, and ξx is a functional determined by the Poisson points near to x, i.e.
Penrose, MD +5 more
core +1 more source
On convergence of conditional probability measures [PDF]
In an information-theoretical framework, the author discusses some relationships between the convergence of probability measures conditioned on sample mean events and certain minimum I-divergences (resp. Kullback- Leibler information numbers) under constraints.
openaire +3 more sources
A Discrete Limit Theorem for a Collection of Epstein Zeta-Functions
In this paper, the discrete limit theorem of Bohr-Jessen type with an explicitly given limit measure for a collection of Epstein zeta-functions is given. An extra condition is required to specify the form of the limit measure.
Martynas Šiupienis, Renata Macaitienė
doaj +1 more source
On Discrete Approximation of Analytic Functions by Shifts of the Lerch Zeta Function
The Lerch zeta function is defined by a Dirichlet series depending on two fixed parameters. In the paper, we consider the approximation of analytic functions by discrete shifts of the Lerch zeta function, and we prove that, for arbitrary parameters and a
Audronė Rimkevičienė +1 more
doaj +1 more source
In the present work, we have identified a transcriptional signature based on the differential expression of six genes (BCL2&MAST4, HSH2D&LAT2, METRN&PITPNM2) that would facilitate the early detection of T‐cell acute lymphoblastic leukemia (T‐ALL) patients prone to a poor treatment response and could be implemented at diagnosis, along with other risk ...
Antonio Lahera +11 more
wiley +1 more source
Convergence of probability measures [PDF]
In this thesis we define two most common types of convergence of probability measures and show relations between them. Using examples, we show that our result is sharp.
Starý, Ladislav
core
Drug resistance limits treatment success in a subset of lung cancers driven by ROS1 gene alterations. Using patient‐derived cells and computer simulations, we studied three key mutations and how they affect five targeted drugs. The mutations reduced drug effectiveness in different ways by altering protein structure and behavior.
Farhan Ul Haq +8 more
wiley +1 more source
Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei +3 more
wiley +1 more source
Activation of the mitochondrial protein OXR1 increases pSyn129 αSynuclein aggregation by lowering ATP levels and altering mitochondrial membrane potential, particularly in response to MSA‐derived fibrils. In contrast, ablation of the ER protein EMC4 enhances autophagic flux and lysosomal clearance, broadly reducing α‐synuclein aggregates.
Sandesh Neupane +11 more
wiley +1 more source

