Results 81 to 90 of about 484,275 (334)
Applications of Nachbin's Theorem concerning Dense Subalgebras of Differentiable Functions
Trends in Computational and Applied Mathematics, 2018 In this paper, we give some applications of Nachbin's Theorem to approximation and interpolation in the the space of all k times continuously differentiable real functions on any open subset of the Euclidean space.
Marcia Sayuri Kashimoto
doaj +1 more source
The Immobilization of Hyaluronic Acid in 3D Hydrogel Scaffolds Modulates Macrophage Polarization
Advanced Biology, EarlyView.This study explores the use of collagen‐hyaluronic acid (HA) hydrogels for the 3D culture of macrophages, providing a useful tool for modelling macrophage behavior in tissues and diseases. It highlights how hydrogel composition, mechanical properties, and preparation methods influence macrophage behavior, revealing for the first time that HA's ...
Tiah CL Oates +7 more
wiley +1 more source
Construction of Optimal Interpolation Formulas in the Sobolev Space [PDF]
, 2022 Kh. M. Shadimetov +2 more
openalex +1 more source
The spectrum of an operator on an interpolation space [PDF]
Transactions of the American Mathematical Society, 1969 containing set, for the spectrum of the operator on the interpolation space in terms of the spectra of the operator on the given two spaces. This upper bound is the best possible one that depends only on the given two spectra. Theorem 6.10 shows that the upper bound can be improved if more is known about the operator.
openaire +1 more source
Advanced Biology, EarlyView.In this study, Seaman et al. develop a co‐culture assay to examine interactions between prostate cancer cells and mineralized osteoblasts in a microfluidic platform. The authors collect conditioned media from static or flow‐stimulated osteocytes and demonstrate that mechanical loading of osteocytes regulates the growth of prostate cancer cells and ...
Kimberly Seaman +5 more
wiley +1 more source
Application of cubic spline interpolation in communication engineering
Dianxin kexue, 2017 In the communication engineering practice,it often needs to estimate the unknown samples which are missing with the limited samples,then the interpolation operation is needed.Based on the research of cubic spline interpolation,the validity was given in ...
ANGDaiji SUO
doaj +2 more sources
Interpolation between H^p spaces and non-commutative generalizations, I
, 1991 We give an elementary proof that the $H^p$ spaces over the unit disc (or the upper half plane) are the interpolation spaces for the real method of interpolation between $H^1$ and $H^\infty$. This was originally proved by Peter Jones.
Pisier, Gilles
core +1 more source
Engineering the Link: From Genome Interaction Maps to Functional Insight
Advanced Biology, EarlyView.Advances in chromosome conformation capture have revealed the genome's 3D organization, yet its causal impact on gene regulation remains elusive. This review highlights emerging genome‐engineering tools ‐ zinc fingers, TALEs, and CRISPR‐Cas9 ‐ that enable targeted manipulation of chromatin loops to dissect structure–function relationships. It discusses
Frido Petersen +5 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.The role of various alloying elements in face‐centered cubic aluminum on the barrier of a Shockley partial dislocation during its motion is presented. The study aims to understand how alloying atoms such as Mg, Si, and Zr affect the energy landscape for dislocation motion, thus influencing the solid solution hardening and softening in aluminum, which ...
Inna Plyushchay +3 more
wiley +1 more source
New classes of rearrangement-invariant spaces appearing in extreme cases of weak interpolation
Journal of Function Spaces and Applications, 2006 We study weak type interpolation for ultrasymmetric spaces L?,E i.e., having the norm ??(t)f*(t)?E˜, where ?(t) is any quasiconcave function and E˜ is arbitrary rearrangement-invariant space with respect to the measure dt/t. When spaces L?,E are not “too
Evgeniy Pustylnik, Teresa Signes
doaj +1 more source