Results 61 to 70 of about 33,492 (302)
The Concepts of Pseudo Compound Poisson and Partition Representations in Discrete Probability
The mathematical/statistical concepts of pseudo compound Poisson and partition representations in discrete probability are reviewed and clarified. A combinatorial interpretation of the convolution of geometric distributions in terms of a variant of ...
Werner Hürlimann
doaj +1 more source
SINGULARITY OF RANDOM SYMMETRIC MATRICES—A COMBINATORIAL APPROACH TO IMPROVED BOUNDS
Let $M_{n}$ denote a random symmetric $n\times n$ matrix whose upper-diagonal entries are independent and identically distributed Bernoulli random variables (which take values $1$ and $-1$ with probability $1/2$ each). It is widely conjectured that $M_{n}
ASAF FERBER, VISHESH JAIN
doaj +1 more source
Interpreting the effects of DNA polymerase variants at the structural level
Using MAVISp and molecular dynamics simulations, we analyzed over 60 000 missense variants in POLE and POLD1 from ClinVar, COSMIC, cBioPortal, and saturation mutagenesis. Identified mechanistic indicators, including stability, binding, and long‐range, enable structural interpretation, providing ACMG‐like evidence for possible reclassification of VUS ...
Matteo Arnaudi +7 more
wiley +1 more source
Evolution of biological cooperation: an algorithmic approach
This manuscript presents an algorithmic approach to cooperation in biological systems, drawing on fundamental ideas from statistical mechanics and probability theory.
Ivan Sudakow +3 more
doaj +1 more source
THE EXPECTED JAGGEDNESS OF ORDER IDEALS
The jaggedness of an order ideal $I$ in a poset $P$ is the
MELODY CHAN +3 more
doaj +1 more source
Numerous but rare: an exploration of magic squares. [PDF]
How rare are magic squares? So far, the exact number of magic squares of order n is only known for n ≤ 5. For larger squares, we need statistical approaches for estimating the number.
Akimasa Kitajima, Macoto Kikuchi
doaj +1 more source
A Refinement of the Sylvester Problem: Probabilities of Combinatorial Types
Abstract Let $$X_1,\ldots , X_{d+2}$$ X 1 ,
Zakhar Kabluchko, Hugo Panzo
openaire +2 more sources
Dormant cancer cells can hide in distant organs for years, evading treatment and the immune system. This review highlights how signals from the surrounding tissue and immune environment keep these cells inactive or trigger their reawakening. Understanding these mechanisms may help develop therapies to eliminate or control dormant cells and prevent ...
Kanishka Tiwary +1 more
wiley +1 more source
Both cg12821679MAPRE3 methylation and MAPRE3 expression are significantly associated with overall survival (OS) of non‐small cell lung cancer. Meanwhile, MAPRE3 expression significantly modified the effect of smoking cessation on OS. Smoking cessation benefits OS merely for patients with high MAPRE3 expression.
Chao Chen +14 more
wiley +1 more source
The geometry of independence tree models with hidden variables [PDF]
In this paper we investigate the geometry of undirected discrete graphical models of trees when all the variables in the system are binary, where leaves represent the observable variables and where the inner nodes are unobserved.
Zwiernik, Piotr, Smith, J. Q.
core

