Results 91 to 100 of about 1,424,186 (337)
Aquaporin‐3 and aquaporin‐5 impact the development of pancreatic ductal adenocarcinoma spheroids
FEBS Open Bio, EarlyView.Schematic representation of the role of aquaporin‐3 (AQP3) and aquaporin‐5 (AQP5) in pancreatic ductal adenocarcinoma (PDAC). Both proteins are upregulated in PDAC and are associated with tumor progression and metastatic potential. Silencing AQP3 or AQP5 in PDAC spheroids results in decreased diameter, area, and overall growth, underscoring their key ...
Catarina Pimpão +3 more
wiley +1 more source
Open Mathematics, 2018 The main purpose of this paper is to study the computational problem of one kind hybrid power mean involving two-term exponential sums and quartic Gauss sums using the analytic method and the properties of the classical Gauss sums, and to prove some ...
Shen Shimeng
doaj +1 more source
On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential Sums
Journal of Mathematics, 2021 The main purpose of this article is using the elementary methods and the properties of the quadratic residue modulo an odd prime p to study the calculating problem of the fourth power mean of one kind two-term exponential sums and give an interesting ...
Jingzhe Wang
doaj +1 more source
Exponential lower bound via exponential sums
CoRRValiant's famous VP vs. VNP conjecture states that the symbolic permanent polynomial does not have polynomial-size algebraic circuits. However, the best upper bound on the size of the circuits computing the permanent is exponential. Informally, VNP is an exponential sum of VP-circuits.
Somnath Bhattacharjee +3 more
openaire +4 more sources
Bounds and computational results for exponential sums related to cusp forms [PDF]
, 2009 summary:The aim of this paper is to present some computer data suggesting the correct size of bounds for exponential sums of Fourier coefficients of holomorphic cusp ...
Lepistö, Arto +1 more
core
A translation of N.M. Katz's "Exponential Sums"
, 2023 These notes are devoted to the theory of exponential sums over finite fields. The first chapter recalls some of the number-theoretic interest of such sums.
Nguyen, David T.
core
How phagocytic cells kill bacteria: Lessons from a professional killer
FEBS Open Bio, EarlyView.How phagocytic cells ingest and kill bacteria has been studied for more than a century, but many questions remain unanswered. The study of the amoeba Dictyostelium discoideum brings new answers, and new questions. Professional phagocytic cells such as neutrophils and macrophages, as well as free‐living soil amoebae like Dictyostelium discoideum, employ
Otmane Lamrabet, Pierre Cosson
wiley +1 more source
Tropical varieties for exponential sums [PDF]
Mathematische Annalen, 2019 We study the complexity of approximating complex zero sets of certain $n$-variate exponential sums. We show that the real part, $R$, of such a zero set can be approximated by the $(n-1)$-dimensional skeleton, $T$, of a polyhedral subdivision of $\mathbb{R}^n$.
Alperen A. Ergür +2 more
openaire +3 more sources
Sums of exponential random variables [PDF]
, 2014 Sums of exponential random variables are often found in applied mathematics. Their densities are known and are well documented in engineering articles. However, these articles usually lack detailed deductions.
Michl, Marek
core
Double exponential sums with exponential functions
, 2017 We obtain several estimates for double rational exponential sums modulo a prime [Formula: see text] with products [Formula: see text] where both [Formula: see text] and [Formula: see text] run through short intervals and [Formula: see text] is fixed ...
Igor E. Shparlinski, Kam Hung Yau
core +1 more source