Results 51 to 60 of about 84,803 (254)
This review highlights biocatalytic prenylation as a versatile strategy for tailoring the functional properties of peptides and proteins. By comparing branched isoprenoids with linear lipids, we illustrate how specific prenyl architectures modulate the behaviors of lipidated proteins within membrane environments.
Daisuke Fujinami +2 more
wiley +1 more source
Curious Continued Fractions, Nonlinear Recurrences and Transcendental Numbers [PDF]
We consider a family of integer sequences generated by nonlinear recurrences of the second order, which have the curious property that the terms of the sequence, and integer multiples of the ratios of successive terms (which are also integers), appear ...
Hone, Andrew N.W.
core +1 more source
Hankel determinants, Pad\'e approximations, and irrationality exponents
The irrationality exponent of an irrational number $\xi$, which measures the approximation rate of $\xi$ by rationals, is in general extremely difficult to compute explicitly, unless we know the continued fraction expansion of $\xi$.
Bugeaud, Yann +3 more
core +1 more source
Self‐Similar Blowup for the Cubic Schrödinger Equation
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Combinatorial Applications of the Subspace Theorem
The Subspace Theorem is a powerful tool in number theory. It has appeared in various forms and been adapted and improved over time. It's applications include diophantine approximation, results about integral points on algebraic curves and the ...
Schwartz, Ryan, Solymosi, Jozsef
core +1 more source
Numbers Whose Powers Are Arbitrarily Close to Integers
In this paper, it is proved that, for any sequence of positive numbers ξn, n=1,2,…, which does not converge to zero faster than the exponential function, and any sequence of positive numbers δn, n=1,2,3,…, there is an uncountable set of positive numbers ...
Artūras Dubickas
doaj +1 more source
On approximation of analytic functions by periodic Hurwitz zeta-functions
The periodic Hurwitz zeta-function ζ(s, α; a), s = σ +it, with parameter 0 < α ≤ 1 and periodic sequence of complex numbers a = {am } is defined, for σ > 1, by series sum from m=0 to ∞ am / (m+α)s, and can be continued moromorphically to the whole ...
Violeta Franckevič +2 more
doaj +1 more source
The pandemic caused by the new coronavirus Severe Acute Respiratory Syndrome Coronavirus-2 (SARS-CoV-2) is currently affecting more than 200 countries. The most lethal clinical presentation is respiratory insufficiency, requiring attention in intensive ...
Horacio Márquez-González +6 more
doaj +1 more source
P-Adic Transcendental Numbers [PDF]
Explicit sets of cardinality 2'o of p-adic numbers which are algebraically independent over Qp are constructed. Let Qp be the p-adic completion of Q for a prime p. Let Qp be the algebraic closure of Qp, and Cp be its p-adic completion which is an algebraically closed field of cardinality 2"O .
openaire +1 more source
The Bazaar as a Model for Knowledge Work
ABSTRACT This paper presents fieldwork that extends existing metaphors of knowledge work as a process shaped by hierarchical or market forces. A qualitative, ethnographic study of six knowledge‐intensive businesses in two countries identifies striking parallels with the Middle Eastern bazaar in contrast to Western impersonal markets and hierarchies. We
Reed Elliot Nelson +2 more
wiley +1 more source

