Results 141 to 150 of about 13,428,920 (391)
Universal $β$-expansions [PDF]
Given $\beta\in(1,2)$, a $\beta$-expansion of a real $x$ is a power series in base $\beta$ with coefficients 0 and 1 whose sum equals $x$. The aim of this note is to study certain problems related to the universality and combinatorics of $\beta$-expansions. Our main result is that for any $\beta\in(1,2)$ and a.e.
arxiv
The protonated form of butyrate, as well as other short‐chain fatty acids (SCFAs), is membrane permeable. In acidic extracellular environments, this can lead to intracellular accumulation of SCFAs and cytosolic acidification. This phenomenon will be particularly relevant in acidic environments such as the large intestine or tumor microenvironments ...
Muwei Jiang+2 more
wiley +1 more source
The enzyme 5‐lipoxygenase (5‐LOX) catalyzes the first step in the biosynthesis of leukotrienes (LTs) involved in inflammatory pathophysiology. After cellular stimulation, 5‐LOX translocates to the nucleus, interacting with the 5‐LOX‐activating protein (FLAP) to form LTA4 from arachidonic acid (AA).
Erik Romp+5 more
wiley +1 more source
Exact Expressions for Kullback–Leibler Divergence for Univariate Distributions
The Kullback–Leibler divergence (KL divergence) is a statistical measure that quantifies the difference between two probability distributions. Specifically, it assesses the amount of information that is lost when one distribution is used to approximate ...
Victor Nawa, Saralees Nadarajah
doaj +1 more source
The deformation of symplectic critical surfaces in a Kähler surface-I [PDF]
In this paper we derive the Euler-Lagrange equation of the functional $L_\beta=\int_\Sigma\frac{1}{\cos^\beta\alpha}d\mu, ~~\beta\neq -1$ in the class of symplectic surfaces. It is $\cos^3\alpha {\bf{H}}=\beta(J(J\nabla\cos\alpha)^\top)^\bot$, which is an elliptic equation when $\beta\geq 0$. We call such a surface a $\beta$-symplectic critical surface.
arxiv
GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
The main object of this paper is to present generaliza-tion of extended beta function, extended hypergeometric and con-uent hypergeometric function introduced by Chaudhry et al.
Dong Myung Lee+3 more
semanticscholar +1 more source
Brucella NyxA and NyxB dimerization enhances effector function during infection
Brucella abortus thrives inside cells thanks to the translocation of effector proteins that fine‐tune cellular functions. NyxA and NyxB are two effectors that destabilize the nucleolar localization of their host target, SENP3. We show that the Nyx proteins directly interact with each other and that their dimerization is essential for their function ...
Lison Cancade‐Veyre+4 more
wiley +1 more source
On the regularity of complex multiplicative chaos [PDF]
Denote by $\mu_\beta="\exp(\beta X)"$ the Gaussian multiplicative chaos which is defined using a log-correlated Gaussian field $X$ on a domain $U\subset\mathbb{R}^d$. The case $\beta\in\mathbb{R}$ has been studied quite intensively, and then $\mu_\beta$ is a random measure on $U$.
arxiv
UDP‐glucuronic acid 4‐epimerase (UGAepi) catalyzes NAD+‐dependent interconversion of UDP‐glucuronic acid (UDP‐GlcA) and UDP‐galacturonic acid (UDP‐GalA) via C4‐oxidation, 4‐keto‐intermediate rotation, and C4‐reduction. Here, Borg et al. examined the role of the substrate's carboxylate group in the enzymic mechanism by analyzing NADH‐dependent reduction
Annika J. E. Borg+2 more
wiley +1 more source
Investigation on the response of Fagus orientalis Lipsky to some environmental variables using beta function and its comparison with Gaussian function (Case study: Kheyrud forest research station( [PDF]
The current study was done in Patom, Namkhaneh, Gorazbon, Chelir and Baharbon districts in Kheyrud forest. A stratified sampling method based on landform was used to locate 190 0.1 ha circular sample plots in beech dominated forests.
doaj