Results 91 to 100 of about 616,883 (325)

A method for increasing the order of approximation to an arbitrary natural number by the numerical integration of boundary value problems for inhomogeneous linear ordinary differential equations of various degrees with variable coefficients by the matrix method

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
The paper includes the well-known matrix method of numerical integration of boundary value problems for inhomogeneous linear ordinary differential equations with variable coefficients, which provides retaining an arbitrary number of Taylor series ...
Vladimir Nikolaevich Maklakov
doaj   +1 more source

Ultrasound‐Triggered Gelation for Restoring Biomechanical Properties of Degenerated Functional Spinal Units

Advanced Healthcare Materials, EarlyView.
This study introduces an innovative approach to treating intervertebral disc degeneration using ultrasound‐triggered in situ hydrogel formation. Proof‐of‐concept experiments using optimized biomaterial and ultrasound parameters demonstrate partial restoration of biomechanical function and successful integration into degenerated disc tissue, offering a ...
Veerle A. Brans, Anna P. Constantinou, Matthew J. Kibble, Valeria Nele, Daniel Reumann, Luca Bau, Sebastien J. P. Callens, James P. K. Armstrong, Nicolas Newell, Constantin C. Coussios, Molly M. Stevens, Michael D. Gray   +11 more
wiley   +1 more source

Differential-difference properties of hypergeometric polynomials [PDF]

Mathematics of Computation, 1975
We develop differential-difference properties of a class of hypergeometric polynomials which are a generalization of the Jacobi polynomials. The formulas are analogous to known formulas for the classical orthogonal polynomials.
openaire   +2 more sources

Artificial Intelligence‐Assisted Workflow for Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling

Advanced Materials, EarlyView.
AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll, Ivan Pinto‐Huguet, Enzo Rotunno, Thomas Galvani, Catalina Coll, Payam Habibzadeh Kavkani, Maria Chiara Spadaro, Yann‐Michel Niquet, Martin Børstad Eriksen, Sara Martí‐Sánchez, Georgios Katsaros, Giordano Scappucci, Peter Krogstrup, Giovanni Isella, Andreu Cabot, Gonzalo Merino, Pablo Ordejón, Stephan Roche, Vincenzo Grillo, Jordi Arbiol   +19 more
wiley   +1 more source

Microscopic Insights into Magnetic Warping and Time‐Reversal Symmetry Breaking in Topological Surface States of Rare‐Earth‐Doped Bi2Te3

Advanced Materials, EarlyView.
Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano, Fabián Calleja, Ji Dai, Massimo Tallarida, Vera Marinova, Alessandro Barla, Marc G. Cuxart, Pierluigi Gargiani, Gonzalo N. Molina, José Angel Silva‐Guillén, Adriana I. Figueroa, Kevin García‐Díez, Sergio O. Valenzuela, Aitor Mugarza, Amadeo L. Vázquez de Parga, Rodolfo Miranda, Francisco Guinea, Manuela Garnica, Miguel A. Valbuena   +18 more
wiley   +1 more source

Weighted Means of B-Splines, Positivity of Divided Differences, and Complete Homogeneous Symmetric Polynomials [PDF]

, 2020
Albrecht Boettcher, Stephan Ramon Garcia, Mohamed Omar, Christopher O’Neill   +3 more
openalex   +1 more source

Polynomials, Divided Differences, and Codes

Proceedings of Innovations in Theoretical Computer Science Conference (ITCS)
Multivariate multiplicity codes (Kopparty, Saraf, and Yekhanin, J. ACM 2014) are linear codes where the codewords are described by evaluations of multivariate polynomials (with a degree bound) and their derivatives up to a fixed order, on a suitably chosen affine point set.
openaire   +4 more sources

Chiral Acoustic Phonon and Conservation of Pseudoangular Momentum in α‐Quartz

Advanced Materials, EarlyView.
Chiral acoustic phonons in α‐quartz are probed via Brillouin light scattering, exploiting the photon's helicity and the crystal's handedness. The interaction obeys a selection rule arising from pseudoangular momentum conservation, enabling direct optical access to phonon chirality in nonsymmorphic crystals.
Changsoo Kim, In‐Kook Hwang, Kyoung‐Woong Moon, Kyongmo An, Kyung‐Jin Lee, Jae‐Hyeon Ko, Byong‐Guk Park, Kwang‐Yong Choi, Chanyong Hwang   +8 more
wiley   +1 more source

Schubert polynomial expansions revisited

Forum of Mathematics, Sigma
We give an elementary approach utilizing only the divided difference formalism for obtaining expansions of Schubert polynomials that are manifestly nonnegative, by studying solutions to the equation $\sum Y_i\partial _i=\operatorname {id}$ on ...
Philippe Nadeau, Hunter Spink, Vasu Tewari   +2 more
doaj   +1 more source

Moth‐Wing‐Inspired Multifunctional Metamaterials

Advanced Materials, EarlyView.
This study develops a moth‐wing‐inspired heterogeneous metamaterial that achieves synergistic broadband sound absorption, mechanical energy dissipation, and thermal insulation within a lightweight architected framework. Combining bioinspired gradient design, genetic‐algorithm optimization, and additive manufacturing, the bionic heterogeneous acoustic ...
Haoran Pei, Hang Yang, Ning Zhang, Tian Li, Xinxin Wang, Miao Zhao, Shuwei Ding, Xin Wang, Qinniu Lv, Zijie Xu, Yinghong Chen, Xinwei Li, Wei Zhai   +12 more
wiley   +1 more source