Results 61 to 70 of about 1,179 (264)

The $2\times 2$ upper triangular matrix algebra and its generalized polynomial identities

open access: yes
Let $UT_2$ be the algebra of $2\times 2$ upper triangular matrices over a field $F$ of characteristic zero. Here we study the generalized polynomial identities of $UT_2$, i.e., identical relations holding for $UT_2$ regarded as $UT_2$-algebra.
Martino, F.   +3 more
core   +1 more source

AI–Guided 4D Printing of Carnivorous Plants–Inspired Microneedles for Accelerated Wound Healing

open access: yesAdvanced Materials, EarlyView.
This work presents an artificial intelligence (AI)‐guided 4D‐printed microneedle platform inspired by carnivorous plants for wound healing. A thermo‐responsive shape memory polymer enables body temperature–triggered self‐coiling for autonomous wound closure.
Hyun Lee   +21 more
wiley   +1 more source

Identities with Skew Derivations

open access: yes, 2000
We solve affirmatively a problem, raised by Kharchenko, on identities with compositions of skew derivations: We define the notion of trivial identities with compositions of skew derivations, which is unique in a certain sense.
Chuang, Chen-Lian
core   +1 more source

Switchable Magnonic Crystals Based on Spin Crossover/CrSBr Heterostructures

open access: yesAdvanced Materials, EarlyView.
Multiscale modeling is employed to investigate the functionality of a light‐controlled, tunable magnonic crystal based on spin‐crossover Fe‐pz molecules integrated with a monolayer of CrSBr. Ab initio simulations confirm that the molecules remain functional on the CrSBr surface, while a semiclassical elastic model demonstrates that light‐induced ...
Andrei Shumilin   +4 more
wiley   +1 more source

General polynomial identities. II

open access: yesJournal of Algebra, 1976
Abstract A generalized polynomial is a formal polynomial with coefficients in a noncommutative ring (so that the coefficients are interspersed with the indeterminates); a generalized monomial of a generalized polynomial is a sum of all monomials in which the indeterminates occur in the same order. A generalized polynomial identity (GI) of R is
openaire   +2 more sources

Polynomial identities from weighted lattice path counting

open access: yes, 1996
We give bijective proofs, using weighted lattice paths, of two multinomial identities concerning the generalized h-factorial polynomials of order n.[x]nh:=x(x + h)(x +2h)⋯(x + (n − 1)h).The first-one is the multinomial identity of order s verified by ...
Domocoş, Virgil, Buzeţeanu, Şerban N.
core   +1 more source

Machine Learning Accelerated Computational Design of Bio‐Inspired Catalysts in the Nitrogen Reduction Reaction

open access: yesAdvanced Materials, EarlyView.
We introduce a computational workflow that combines quantum chemical calculations and machine learning techniques to predict the catalytic performance of a wide range of catalysts in the nitrogen reduction reaction (NRR). The analysis of the trained models provides insights into the complex structure–activity relationship in experimental catalytic ...
Leonardo Di Ciano   +5 more
wiley   +1 more source

On Generalized Fibospinomials: Generalized Fibonacci Polynomial Spinors

open access: yes
Spinors are important objects in physics, which have found their place more and more after the discovery that particles have an intrinsic angular momentum shape and Cartan’s mathematical expression of this situation.
Yüksel Soykan   +2 more
core   +1 more source

b-Generalized Skew Derivations on Multilinear Polynomials in Prime Rings

open access: yes, 2021
Let R be a prime ring of characteristic different from 2, Qr be its right Martindale quotient ring and C be its extended centroid. In this paper we define b-generalized skew derivations of prime rings.
Scudo G., De Filippis V., Wei F.
core   +1 more source

Characterization of Droplet Formation in Ultrasonic Spray Coating: Influence of Ink Formulation Using Phase Doppler Anemometry and Machine Learning

open access: yesAdvanced Materials Technologies, EarlyView.
This study explores how machine learning models, trained on small experimental datasets obtained via Phase Doppler Anemometry (PDA), can accurately predict droplet size (D32) in ultrasonic spray coating (USSC). By capturing the influence of ink complexity (solvent, polymer, nanoparticles), power, and flow rate, the model enables precise droplet control
Pieter Verding   +5 more
wiley   +1 more source

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