Results 161 to 170 of about 13,428,920 (391)

Evolutionary interplay between viruses and R‐loops

FEBS Letters, EarlyView.
Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi, Zita Képes, Zoltán Szabó, Eszter Csoma, Lóránt Székvölgyi   +4 more
wiley   +1 more source

Four Families of Summation Formulas for ₄F₃(1) with Application

Axioms
A collection of functions organized according to their indexing based on non-negative integers is grouped by the common factor of fixed integer N. This grouping results in a summation of N series, each consisting of functions partitioned according to ...
Belakavadi Radhakrishna Srivatsa Kumar, Arjun K. Rathie, Junesang Choi   +2 more
doaj   +1 more source

Covering a function on the plane by two continuous functions on an uncountable square - the consistency [PDF]

arXiv, 1997
It is consistent that for every function f:R x R-> R there is an uncountable set A subseteq R and two continuous functions f_0,f_1:D(A)-> R such that f(alpha, beta) in {f_0(alpha, beta),f_1(alpha, beta)} for every (alpha, beta) in A^2, alpha not = beta .
arxiv  

On the computation of a certain type of incomplete Beta functions [PDF]

, 1963
I. C. Tang
openalex   +1 more source

Sharp inequalities for the beta function

Indagationes Mathematicae, 2001
AbstractWe prove the following double-inequality for the beta function with the best possible bounds α = 0 and β = 0.08731.... Our theorem improves a recently published result of Dragomir et al., who established (*) with α = ) and β ...
openaire   +2 more sources

Identification of functional and diverse circulating cancer‐associated fibroblasts in metastatic castration‐naïve prostate cancer patients

Molecular Oncology, EarlyView.
Cancer‐associated fibroblasts (CAFs) promote cancer growth, invasion (metastasis), and drug resistance. Here, we identified functional and diverse circulating CAFs (cCAFs) in patients with metastatic prostate cancer (mPCa). cCAFs were found in higher numbers and were functional and diverse in mPCa patients versus healthy individuals, suggesting their ...
Richell Booijink, Leon W. M. M. Terstappen, Eshwari Dathathri, Khrystany Isebia, Jaco Kraan, John Martens, Ruchi Bansal   +6 more
wiley   +1 more source

A new extended Mulholland's inequality involving one partial sum

Open Mathematics
By using the weight coefficients and the techniques of real analysis, a new extended Mulholland’s inequality with multi-parameters involving one partial sum is given. The equivalent statements of the best value related to several parameters are provided.
Peng Ling, Yang Bicheng
doaj   +1 more source

Approximate Data Depth Revisited [PDF]

arXiv, 2018
Halfspace depth and $\beta$-skeleton depth are two types of depth functions in nonparametric data analysis. The halfspace depth of a query point $q\in \mathbb{R}^d$ with respect to $S\subset\mathbb{R}^d$ is the minimum portion of the elements of $S$ which are contained in a halfspace which passes through $q$.
arxiv  

Ultrastructural features of functioning alpha- and beta-cell tumors [PDF]

, 1969
Victor E. Goldenberg, N. S. Goldenberg, Earl P. Benditt   +2 more
openalex   +1 more source

Vertices of Mather’s beta function, II [PDF]

Ergodic Theory and Dynamical Systems, 2009
AbstractIf theβ-function of a time-periodic Lagrangian on a manifoldMhas a vertex at ak-irrational homology classh, then 2k<dimM, so if dimM=2, thenhis rational.
openaire   +5 more sources