Results 71 to 80 of about 3,709,601 (369)

An improvement of the constant in Videnskiĭ’s inequality for Bernstein polynomials [PDF]

Georgian Mathematical Journal, 2018
Abstract In this paper, we deal with improvements on the constant M n ⁢
Ulrich Abel, Hartmut Siebert
openaire   +2 more sources

Synchrotron Radiation for Quantum Technology

Advanced Functional Materials, EarlyView.
Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader, Sakura Pascarelli, Klaus Attenkofer, Anna A. Makarova, Karsten Holldack, Kai Rossnagel, Kristiaan Temst, George Kourousias, Stefano Carretta, Caterina Biscari, Helmut Dosch   +10 more
wiley   +1 more source

Selective Laser Sintering 3D Printing of Drug‐Loaded Intravitreal Implants

Advanced Functional Materials, EarlyView.
Selective laser sintering enables the fabrication of biodegradable and biocompatible intravitreal implants with tunable microstructures for sustained drug delivery. By modulating laser scanning speed, the polymer matrix architecture is engineered to control the release kinetics of dexamethasone and riboflavin over several months. This approach offers a
Iria Seoane‐Viaño, Carlos Bendicho‐Lavilla, Haya Alfassam, Bárbara Blanco‐Fernández, Abdul W. Basit, Francisco J. Otero‐Espinar   +5 more
wiley   +1 more source

A Dichotomy Theorem for Homomorphism Polynomials

, 2012
In the present paper we show a dichotomy theorem for the complexity of polynomial evaluation. We associate to each graph H a polynomial that encodes all graphs of a fixed size homomorphic to H.
A.A. Bulatov, B. Courcelle, I. Briquel, L.G. Valiant, L.G. Valiant, L.G. Valiant, M.E. Dyer, T. Feder, T.J. Schaefer   +8 more
core   +1 more source

Polynomials with constant Hessian determinant

Journal of Pure and Applied Algebra, 1991
The author proves the Jacobian conjecture for polynomial mappings \(F:\mathbb{C}^ 2\to\mathbb{C}^ 2\) with symmetric Jacobian matrix. He uses the fact that, in this case, there exists a polynomial \(P:\mathbb{C}^ 2\to\mathbb{C}\) such that \(F=\text{grad}(P)\) (then \(P\) has constant Hessian determinant), and next, he gives the explicit form of such \(
openaire   +1 more source

Polynomials Constant on a Hyperplane and CR Maps of Hyperquadrics [PDF]

Moscow Mathematical Journal, 2011
We prove a sharp degree bound for polynomials constant on a hyperplane with a fixed number of distinct monomials for dimensions 2 and 3. We study the connection with monomial CR maps of hyperquadrics and prove similar bounds in this setup with emphasis on the case of spheres.
Lebl, J., Peters, H.
openaire   +3 more sources

Recycling of Thermoplastics with Machine Learning: A Review

Advanced Functional Materials, EarlyView.
This review shows how machine learning is revolutionizing mechanical, chemical, and biological pathways, overcoming traditional challenges and optimizing sorting, efficiency, and quality. It provides a detailed analysis of effective feature engineering strategies and establishes a forward‐looking research agenda for a truly circular thermoplastic ...
Rodrigo Q. Albuquerque, Florian Stephan, Annalena Pongratz, Christian Brütting, Katharina Krause, Holger Ruckdäschel   +5 more
wiley   +1 more source

New Quasi-Coincidence Point Polynomial Problems

Journal of Applied Mathematics, 2013
Let F:ℝ×ℝ→ℝ be a real-valued polynomial function of the form F(x,y)=as(x)ys+as-1(x)ys-1+⋯+a0(x), where the degree s of y in F(x,y) is greater than or equal to 1.
Yi-Chou Chen, Hang-Chin Lai
doaj   +1 more source

The Synergy of Artificial Intelligence and 3D Bioprinting: Unlocking New Frontiers in Precision and Tissue Fabrication

Advanced Functional Materials, EarlyView.
Advances in integrating artificial intelligence into 3D bioprinting are systematically reviewed here. Machine learning, computer vision, robotics, natural language processing, and expert systems are examined for their roles in optimizing bioprinting parameters, real‐time monitoring, quality control, and predictive maintenance.
Joao Vitor Silva Robazzi, Irem Deniz Derman, Deepak Gupta, Logan Haugh, Yogendra Pratap Singh, Vaibhav Pal, Yasar Ozer Yilmaz, Suihong Liu, Andre Luis Dias, Rogerio Andrade Flauzino, Ibrahim Tarik Ozbolat   +10 more
wiley   +1 more source

Planar Polynomial Differential Systems of Degree One: Full Characterization of Its First Integrals

International Journal of Differential Equations
In this work, we classify the first integrals of all planar polynomial differential systems of degree one with real constant coefficients. Additionally, we characterize when these first integrals are either polynomial, or rational, or nonalgebraic.
Bilal Ghermoul
doaj   +1 more source