Results 71 to 80 of about 160,421 (323)
Polynomial Triangles Revisited [PDF]
, 2012 A polynomial triangle is an array whose inputs are the coefficients in integral powers of a polynomial. Although polynomial coefficients have appeared in several works, there is no systematic treatise on this topic. In this paper we plan to fill this gap.
Mohammedia Morocco, Nour-eddine Fahssi
core
Advanced Science, EarlyView.CellPhenoX is an explainable machine learning framework that identifies cell‐specific phenotypes and interaction effects from single‐cell omics data. By leveraging interpretable models, it enables robust discovery of cell‐level phenotypes that contribute to clinical outcomes.
Jade Young +4 more
wiley +1 more source
Three new classes of binomial Fibonacci sums [PDF]
Transactions on CombinatoricsIn this paper, we introduce three new classes of binomial sums involving Fibonacci (Lucas) numbers and weighted binomial coefficients. One particular result is linked to a problem proposal recently published in the journal The Fibonacci Quarterly.
Robert Frontczak
doaj +1 more source
Applications of Lehmer’s Infinite Series Involving Reciprocals of the Central Binomial Coefficients
Journal of Function Spaces, 2022 The main objective of this paper is to establish several new closed-form evaluations of the generalized hypergeometric function Fq+1qz for q=2,3,4,5. This is achieved by means of separating the generalized hypergeometric function Fq+1qz (q=2,3,4,5) into ...
B. R. Srivatsa Kumar +2 more
doaj +1 more source
NEAT1 Promotes Epileptogenesis in Tuberous Sclerosis Complex
Advanced Science, EarlyView.The primary neurological manifestations of tuberous sclerosis complex (TSC) are intractable epilepsy and intellectual disability. NEAT1 is differentially expressed in TSC‐related epilepsy and influences neuronal excitability by regulating the PI3K/AKT/mTOR signaling pathway.
Suhui Kuang +8 more
wiley +1 more source
Lucas' theorem: its generalizations, extensions and applications (1878--2014) [PDF]
, 2014 In 1878 \'E. Lucas proved a remarkable result which provides a simple way to compute the binomial coefficient ${n\choose m}$ modulo a prime $p$ in terms of the binomial coefficients of the base-$p$ digits of $n$ and $m$: {\it If $p$ is a prime, $n=n_0 ...
Meštrović, Romeo
core
Identifying Tipping Points during Healthy Brain Aging through Single‐Nucleus Transcriptomic Analysis
Advanced Science, EarlyView.This study applies single‐nucleus transcriptomics and systems dynamics to uncover nonlinear aging patterns in healthy human brains. By introducing dynamic network biomarker theory, the authors identify a critical tipping point at ages 56–60 during aging, and highlight glial instability as a key mediator.
Peiru Wu +9 more
wiley +1 more source
Repeated sums and binomial coefficients
Open Journal of Discrete Applied Mathematics, 2021 Binomial coefficients have been used for centuries in a variety of fields and have accumulated numerous definitions. In this paper, we introduce a new way of defining binomial coefficients as repeated sums of ones. A multitude of binomial coefficient identities will be shown in order to prove this definition.
openaire +2 more sources
Advanced Science, EarlyView.An integrative analysis combining in vitro genome‐wide immune screens, in vivo ICB screens, and clinical data mining identifies METTL5 as a key tumor‐intrinsic immune factor. Mechanistic studies further reveal the importance of the METTL5‐ATF4‐SLC7A11/SLC3A2‐ferroptosis axis in modulating antitumor immune responses. These findings highlight METTL5 as a
Jiakai Hou +30 more
wiley +1 more source