Results 41 to 50 of about 87,373 (257)

Decomposition of exponential sums based on subspace and its application in channel estimation

Dianxin kexue, 2023
The problem of the decomposition of an exponential sum sequence is a classical mathematical problem.Prony method and Prony-Kung method are the classical methods to solve this problem.The Prony-Kung method was analyzed in detail from the point of view of support subspace.On this basis, it was proved theoretically that the problem of the decomposition of
Zhiwei WU, Haiquan WANG, Meihui LI, Xinyu ZHANG, Taoxin QIAN   +4 more
openaire   +2 more sources

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

FEBS Letters, EarlyView.
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee, Dimitrios Bekiari, Sofia Doello, Karl Forchhammer   +3 more
wiley   +1 more source

On Estimates of Exponential Sums

, 2005
This paper introduces a general technique for estimating the absolute value of pure Gaussian sums of order k over a prime p for a class of composite order k. The new estimate improves the classical estimate by a factor of about 2 or better (depending on k) for all sufficiently large primes p.
openaire   +2 more sources

Some extremal functions in Fourier analysis, II

, 2008
We obtain extremal majorants and minorants of exponential type for a class of even functions on $\R$ which includes $\log |x|$ and $|x|^\alpha$, where $-1 < \alpha < 1$. We also give periodic versions of these results in which the majorants and minorants
Carneiro, Emanuel, Vaaler, Jeffrey D.
core   +2 more sources

β‐TrCP overexpression enhances cisplatin sensitivity by depleting BRCA1

Molecular Oncology, EarlyView.
Low levels of β‐TrCP (Panel A) allow the accumulation of BRCA1 and CtIP, which facilitate the repair of cisplatin‐induced DNA damage via homologous recombination (HR) and promote tumor cell survival. In contrast, high β‐TrCP expression (Panel B) leads to BRCA1 and CtIP degradation, impairing HR repair, resulting in persistent DNA damage and apoptosis ...
Rocío Jiménez‐Guerrero, Alejandro Belmonte‐Fernández, Mónica González‐Moreno, Laura Rodríguez‐Cordero, Begoña Pérez‐Valderrama, Joaquín Herrero‐Ruíz, Francisco Romero, Carmen Sáez, Miguel Á. Japón   +8 more
wiley   +1 more source

Addendum: Level Spacings for Integrable Quantum Maps in Genus Zero

, 2000
In this addendum we strengthen the results of math-ph/0002010 in the case of polynomial phases. We prove that Cesaro means of the pair correlation functions of certain integrable quantum maps on the 2-sphere at level N tend almost always to the Poisson ...
Zelditch, Steve
core   +1 more source

Glycosylated LGALS3BP is highly secreted by bladder cancer cells and represents a novel urinary disease biomarker

Molecular Oncology, EarlyView.
Urinary LGALS3BP is elevated in bladder cancer patients compared to healthy controls as detected by the 1959 antibody–based ELISA. The antibody shows enhanced reactivity to the high‐mannose glycosylated variant secreted by cancer cells treated with kifunensine (KIF).
Asia Pece, Giulio Lovato, Ilaria Cela, Arianna Mercatelli, Benedetta Ferro, Jussi Nikkola, Sara Pagotto, Tommaso Grottola, Vincenzo De Laurenzi, Rossella Cicchetti, Antonio Marchetti, Luigi Schips, Rossano Lattanzio, Stefano Iacobelli, Emily Capone, Peter Black, Mads Daugaard, Michele Marchioni, Gianluca Sala   +18 more
wiley   +1 more source

Liquid biopsy epigenetics: establishing a molecular profile based on cell‐free DNA

Molecular Oncology, EarlyView.
Cell‐free DNA (cfDNA) fragments in plasma from cancer patients carry epigenetic signatures reflecting their cells of origin. These epigenetic features include DNA methylation, nucleosome modifications, and variations in fragmentation. This review describes the biological properties of each feature and explores optimal strategies for harnessing cfDNA ...
Christoffer Trier Maansson, Anders Lade Nielsen, Boe Sandahl Sorensen   +2 more
wiley   +1 more source

Translation invariance, exponential sums, and Waring's problem [PDF]

, 2014
We describe mean value estimates for exponential sums of degree exceeding 2 that approach those conjectured to be best possible. The vehicle for this recent progress is the efficient congruencing method, which iteratively exploits the translation ...
Wooley, Trevor D.
core   +1 more source

Minor arcs, mean values, and restriction theory for exponential sums over smooth numbers [PDF]

Compositio Mathematica, 2014
We investigate exponential sums over those numbers ${\leqslant}x$ all of whose prime factors are ${\leqslant}y$. We prove fairly good minor arc estimates, valid whenever $\log ^{3}x\leqslant y\leqslant x^{1/3}$.
Adam J. Harper
semanticscholar   +1 more source