Results 91 to 100 of about 15,188,620 (312)
Based on algebraic number theory we construct some families of rotated D n-lattices with full diversity which can be good for signal transmission over both Gaussian and Rayleigh fading channels. Closed-form expressions for the minimum product distance of
Costa S.I.R., Ferrari A.J., Jorge G.C.
core +1 more source
Explicit decomposition of a rational prime in a cubic field
We give the explicit decomposition of the principal ideal 〈p〉 (p prime) in a cubic field.
Saban Alaca +2 more
doaj +1 more source
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
wiley +1 more source
Number theory, borderline dimension and extensive entropy in distributions of ranked data. [PDF]
Velarde C, Robledo A.
europepmc +1 more source
Degradation mechanism of the von Willebrand factor A2 domain by nattokinase
Nattokinase, a natto‐derived protease, exhibits potent antithrombotic effects. This study demonstrates that nattokinase directly cleaves the von Willebrand factor (vWF) A2 domain in vitro. Unlike the native regulator ADAMTS13, nattokinase degrades folded vWF independently of shear stress.
Ryuichi Hyakumoto +3 more
wiley +1 more source
Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley +1 more source
Machine learning for number theory: unsupervised learning with L-functions
There is a strong tradition of computation in number theory, with notable data-driven insights including the prime number theorem and the conjecture of Birch and Swinnerton-Dyer.
Oliver, T.
core +1 more source
On generating functions in additive number theory, II: lower-order terms and applications to PDEs. [PDF]
Brandes J +4 more
europepmc +1 more source
From mice to humans—divergent strategies for intestinal homeostasis and regeneration
Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
wiley +1 more source
This is the first semester of a one-year graduate course in number theory covering standard topics in algebraic and analytic number theory. At various points in the course, we will make reference to material from other branches of mathematics, including ...
Sutherland, Andrew
core

