Results 131 to 140 of about 333,767 (302)
A generalization of order convergence
, 2019 Let $E$ be a sublattice of a vector lattice $F$. $\left( x_α\right)\subseteq E$ is said to be $ F $-order convergent to a vector $ x $ (in symbols $ x_α\xrightarrow{Fo} x $), whenever there exists another net $ \left(y_α\right) $ in $F $ with the some index set satisfying $ y_α\downarrow 0 $ in $F$ and $ | x_α- x | \leq y_α$ for all indexes $ α$. If $F=
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
On Extending the Applicability of Iterative Methods for Solving Systems of Nonlinear Equations
AxiomsIn this paper, we present a technique that improves the applicability of the result obtained by Cordero et al. in 2024 for solving nonlinear equations. Cordero et al.
Indra Bate +5 more
doaj +1 more source
Fostering Innovation: Streamlining Magnetocaloric Materials Research by Digitalization
Advanced Engineering Materials, EarlyView.Magnetocaloric cooling (MCE) is an environmentally friendly refrigeration method with great potential. Optimizing MCE materials involves the preparation and screening of large quantities of samples, which in turn generates a large amount of data. A digitalization approach is presented that uses ontologies, knowledge graphs, and digital workflows to ...
Simon Bekemeier +17 more
wiley +1 more source
Order convergence and compactness
, 2004 Let $(P,\leq)$ be a partially ordered set and let $τ$ be a compact topology on $P$ that is finer than the interval topology. Then $τ$ is contained in the order (convergence) topology on $(P,τ)$. So any Priestley topology is contained in the order topology.
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Advanced Engineering Materials, EarlyView.Building machine‐readable vocabularies for materials science is slow, expert‐driven work. This study benchmarks 13 large language models on two of its first steps: finding candidate terms in engineering articles and deciding where they belong in a class hierarchy.
Thomas Bjarsch +3 more
wiley +1 more source
Convergence of Euro Area Inflation Rates [PDF]
We study the behavior of inflation rates among the 12 initial Euro countries in order to test whether and when the group convergence initially dictated by the Maastricht treaty and now by the ECB, occurs.
Lopez, C., Papell, David H.
core
Local convergence for a family of third order methods in Banach spaces [PDF]
, 2020 We present a local convergence analysis of a family of third order methods for approximating a locally unique solution of nonlinear equations in a Banach space setting.
I.K. Argyros; Department of Mathematical Sciences Cameron University Lawton, OK 73505 +1 more
core
ORDER CONVERGENCE OF ORDER BOUNDED SEQUENCES IN RIESZ SPACES
Tamkang Journal of Mathematics, 1998 We consider sequences in a Dedekind $\sigma$-complete Riese space, satisfying a recursive relation \[ x_{n+p}\ge \sum_{j=1}^p \alpha_{n,j} x_{n+p-j} \qquad \text{for } n=1, 2, \cdots\] where $p$ is a given natural number and $\alpha_{n,j}$ are nonnegative real numbers satisfying $\sum_{j=1}^p\alpha_{n,j}=1$.
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Advanced Engineering Materials, EarlyView.We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang +2 more
wiley +1 more source