Results 71 to 80 of about 5,422,793 (299)
Extremal Functions with Vanishing Condition [PDF]
Constructive Approximation, 2015 We determine the optimal majorant $M^+$ and minorant $M^-$ of exponential type for the truncation of $x\mapsto (x^2+a^2)^{-1}$ with respect to general de Branges measures. We prove that \[ \int_\mathbb{R} (M^+ - M^-) |E(x)|^{-2}dx = \frac{1}{a^2 K(0,0)} \] where $K$ is the reproducing kernel for $\mathcal{H}(E)$.
Littmann, Friedrich, Spanier, Mark
openaire +2 more sources
FEBS Letters, EarlyView.How do genomes gain new functional parts? In eukaryotes, which tend to evolve under weak selection, much of the genome is junk. Palazzo and Qiu borrow the logic of Markov chains to show how non‐functional DNA becomes functional through the appearance of intermediate states, which arise due to epistasis, buffering, and biochemical messiness, allowing ...
Alexander F. Palazzo, Yi Qiu
wiley +1 more source
Reconstruction inversion formulas for the Laguerre Gabor transform
Journal of Numerical Analysis and Approximation TheoryIn this paper, we define and study the Gabor transform in the context of the Laguerre hypergroup. We prove some of its basic properties, such as Plancherel theorem, inversion formula and Calder´on’s reproducing inversion formula.
Khaled Hleili, Manel Hleili
doaj +1 more source
Artificial molecular machines and motors—Design and control of nanoscale motion
FEBS Letters, EarlyView.Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
wiley +1 more source
Researches in MathematicsIn this paper, we study an extremal problem involving best approximation in the Hardy space $H^1$ on the unit disk $\mathbb D$. Specifically, we consider weighted combinations of the Cauchy-Szegö kernel and its derivative, parameterized by an inner ...
V.V. Savchuk, M.V. Savchuk
doaj +1 more source
Smaller is better: nanobodies meet NMR
FEBS Letters, EarlyView.Nanobodies are single‐domain antigen‐binding fragments derived from camelid heavy chain antibodies. Their small size, high stability, and exceptional specificity make nanobodies uniquely useful probes for NMR studies of protein dynamics, transient conformational states, and protein–protein interactions.
Oleg Y. Dmitriev
wiley +1 more source
A note on some extremal problems for trigonometric polynomials [PDF]
n.a.
Dette, Holger, Melas, Viatcheslav B.
core
FEBS Letters, EarlyView.Vacuolar H+‐ATPase (V‐ATPase) is a multisubunit rotary proton pump that acidifies intracellular compartments. Using elastic network models, we identified conserved hinge residues that govern its large‐scale functional motions. We show that intrinsically encoded ‘soft modes’ drive critical functional transitions, including rotary catalysis and ...
Diksha Parwana +3 more
wiley +1 more source
How structural disorder and polyelectrolyte properties of prothymosin α enable its large interactome
FEBS Letters, EarlyView.In this review, complexes of the fully disordered and highly negatively charged prothymosin α are collected, described, and discussed. Linked to its poly‐electrostatic character, prothymosin α engages a large interactome through multiple different binding modes ranging from fully disordered complexes to short linear motif (SLiM)‐driven interactions ...
Ketty C. Tamburrini +3 more
wiley +1 more source
An Extremal Problem for Univalent Functions
Interdisciplinary Information Sciences, 2019 10 ...
SUGAWA, Toshiyuki, WANG, Li-Mei
openaire +3 more sources