Results 121 to 130 of about 7,584,855 (293)
A note on expansion in prime fields
, 2018 Let $β,ε\in (0,1]$, and $k \geq \exp(122 \max\{1/β,1/ε\})$. We prove that if $A,B$ are subsets of a prime field $\mathbb{Z}_{p}$, and $|B| \geq p^β$, then there exists a sum of the form $$S = a_{1}B \pm \ldots \pm a_{k}B, \qquad a_{1},\ldots,a_{k} \in A,$$ with $|S| \geq 2^{-12}p^{-ε}\min\{|A||B|,p\}$.
Orponen, Tuomas, Venieri, Laura
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The smallest inert prime in a cyclic number field of prime degree [PDF]
Mathematical Research Letters, 2013 Fix an odd prime `. For each cyclic extension K/Q of degree `, let nK denote the least rational prime which is inert in K, and let rK be the least rational prime which splits completely in K. We show that nK possesses a finite mean value, where the average is taken over all such K ordered by conductor.
openaire +1 more source
Guiding AlphaFold to predict how Munc13‐1 opens Syntaxin‐1
FEBS Open Bio, EarlyView.The syntaxin‐1 Habc‐domain (orange), linker (pink) and SNARE motif (yellow) form a closed conformation that binds to Munc18‐1 (violet) and is opened by the Munc13‐1 MUN domain (cyan) to form the SNARE complex that triggers neurotransmitter release.
Madhurima Chattopadhyay +2 more
wiley +1 more source
A Hardware-Accelerated ECDLP with High-Performance Modular Multiplication
International Journal of Reconfigurable Computing, 2012 Elliptic curve cryptography (ECC) has become a popular public key cryptography standard. The security of ECC is due to the difficulty of solving the elliptic curve discrete logarithm problem (ECDLP).
Lyndon Judge +2 more
doaj +1 more source
FEBS Open Bio, EarlyView.TisIBP8, a fungal‐derived hyperactive ice‐binding protein, helps Caenorhabditis elegans survive dehydration. It localizes near cell membranes, reduces cell damage, and helps maintain membrane structure during drying. These results suggest that ice‐binding proteins can protect cells from dehydration stress as well as freezing stress.
Daiki Shimose +9 more
wiley +1 more source
Molecular characterization of covRS mutations in M1UK Streptococcus pyogenes
FEBS Open Bio, EarlyView.Group A Streptococcus (GAS) acquires covRS mutations driving a hypervirulent bacterial state, frequently associated with invasive disease‐like necrotizing fasciitis. We demonstrate that the newly emerged M1UK GAS lineage can also acquire these mutations.
Jarrad Pritchard +12 more
wiley +1 more source
Stanley Field Correspondence, 1912–1915
This correspondence collection is primarily comprised of letters by Stanley Field and Carl Akeley. The contents of the correspondence largely address the African buffalo diorama group and its installation at the Field ...
President. Field Museum of Natural History
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Programme of Prime Minister Alexander Stubb's Government
, 2014 The goal of Prime Minister Stubb’s Government is an open, fair and confident Finland. The Government Programme is based on Prime Minister Katainen’s Government Programme as well as the Structural Policy Programme and policies relating to its ...
core
FEBS Open Bio, EarlyView.Hyperosmotic stress triggers the relocation of the CFIm complex from the nucleus to the cytoplasm. This shift creates a nuclear ‘stoichiometric bottleneck’, limiting CFIm availability for mRNA processing. Consequently, specific mRNAs like NUDT21 and DICER1 undergo targeted 3′UTR shortening, demonstrating how spatial protein dynamics drive rapid ...
Hitomi Soumiya +2 more
wiley +1 more source
FEBS Open Bio, EarlyView.IGFBP4 knockdown (KD) impairs preadipocyte proliferation and is associated with IGF1R protein downregulation and attenuated AKT phosphorylation. The mechanisms by which IGFBP4 KD influences the IGF1R/AKT signaling pathway involve newly synthesized proteins and lysosomal degradation pathways. Created in BioRender.
Yujia Guo +6 more
wiley +1 more source