Results 31 to 40 of about 65,615 (264)
A Discrete Limit Theorem for L-Functions of Elliptic Curves
In the paper, we prove the discrete limit theorem in the sense of the weak convergence of probability measures in the space of analytic on DV = {s ∈ C : 1 < σ < 3/2, |t| 0 be a fixed real number such that exp {2πk/h} is an irrational number for all k∈Z\{
Virginija Garbaliauskienė +1 more
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Weak Convergence of Probability Measures
Lecture notes based on the book Convergence of Probability Measures by Patrick Billingsley.
openaire +2 more sources
Arginine methylation can be viewed as a persistence‐prone post‐translational modification regulated by a network of PRMTs. Competitive and compensatory interactions among PRMTs can redistribute methylation across substrate pools shaped by sequence, structural, spatial, and environmental layers, reinforcing RNA‐processing, chromatin, and signaling ...
So Hyun Kwon, Ji Min Lee
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
Neural Estimator of Information for Time-Series Data with Dependency
Novel approaches to estimate information measures using neural networks are well-celebrated in recent years both in the information theory and machine learning communities.
Sina Molavipour +3 more
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IGF2 knockout reduces but does not abolish osteosarcoma growth in vitro and in vivo
To test whether endogenous IGF2 promotes osteosarcoma growth, IGF2 was knocked out in Saos2 cells via CRISPR‐Cas9. KO cells showed reduced proliferation in vitro, and knockout xenografts in mice reached only ~25% of wild‐type tumor volume. Insulin‐like growth factor 2 (IGF2) is implicated in osteosarcoma, but direct functional evidence of its role is ...
Shun Yao, Marco Archetti
wiley +1 more source
On the Generalizations of Universality Theorem for L-Functions of Elliptic Curves
In the paper, the continuous type’s universality theorem for L-functions of elliptic curves is discussed and its generalizations in three directions – for positive integer powers and derivatives of L-functions of elliptic curves as well as the weighted ...
Virginija Garbaliauskienė
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Convergence of probability measures on separable Banach spaces [PDF]
The following result follows immediately from a general theorem on the convergence of probability measures on separable Banach spaces: On the space C [ 0
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Chronobiology of Cancer: How Aging Fuels Oncogenesis at the Molecular Level
This graphical abstract illustrates the key biological pathways linking aging with cancer development and progression. In the upper left, cumulative exposure to ultraviolet radiation, toxins, and reactive oxygen species (ROS) causes DNA damage and genomic instability, whereas age‐related decline in repair mechanisms, such as ATM/ATR, BER, and NER ...
Anu Singh, Aroonima Misra, Sufian Zaheer
wiley +1 more source
Let a={am:m∈N} be a multiplicative periodic sequence of complex numbers.
Marius Grigaliūnas +2 more
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