Results 41 to 50 of about 165,979,158 (232)
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
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
Some results on counting roots of polynomials and the Sylvester resultant. [PDF]
We present two results, the first on the distribution of the roots of a polynomial over the ring of integers modulo n and the second on the distribution of the roots of the Sylvester resultant of two multivariate polynomials.
Michael Monagan, Baris Tuncer
doaj +1 more source
On the Fueter Model and Monogeneity of Rings of Integers
Let \(L/M\) be an extension of number fields. It is said that \(L\) is monogenic over \(M\) if \({\mathfrak D}_ L={\mathfrak D}_ M[\alpha]\) for some \(\alpha\in {\mathfrak D}_ L\), where \({\mathfrak D}_ L\) denotes the ring of integers in \(L\). Let \(K\) be an imaginary quadratic field in which 2 splits. For an integral ideal \({\mathfrak f}\) let \(
Srivastav, A., Venkataraman, S.
openaire +1 more source
Binomial coefficients and the ring of 𝑝-adic integers [PDF]
Let k > 1 k>1
Sun, Zhi-Wei, Zhang, Wei
openaire +2 more sources
A Lightweight Procedural Layer for Hybrid Experimental–Computational Workflows in Materials Science
We unveil a prototype hybrid‐workflow framework that fuses automatedcomputation with hands‐on experiments. Built atop pyiron, a lightweight, parameterized layer translates procedure descriptions into executable manual steps, syncing instrument settings, human interventions, and data capture in real‐time today.
Steffen Brinckmann +8 more
wiley +1 more source
Maximal and Prime Ideals of Skew Polynomial Ring Over the Gauss Integers Domain
Maximal and Prime Ideals of Skew Polynomial Ring Over the Gauss Integers Domain. Let R be any ring withidentity 1, σ be an automorphism of R and δ be a left σ-derivation. The skew polynomial ring over R in anindeterminate x is the set of polynomials anxn
Amir Kamal Amir
doaj
Certifying Rings of Integers in Number Fields
14 pages.
Anne Baanen +2 more
openaire +4 more sources
Symmetry‐Guided Multifunctional Acoustic System Based on Mechanically Actuated Sonic Crystals
This study presents the design, simulation, and experimental validation of amultifunctional acoustic metamaterial based on rotationally engineered sonic crystals.By tuning cylinder orientations, controllable band gaps and six distinct functionalities—including switching, topological insulation, beam splitting, and logic operations—areachieved ...
Yuanyan Zhao +2 more
wiley +1 more source
Identifying Low-Frequency Tree-Ring Variation
I propose an approach to provide 95% confidence intervals for a chronology of low-frequency tree-ring variation so that a level of significance or importance for trends can be inferred.
Sheppard, Paul R.
core +4 more sources

