Results 51 to 60 of about 105,022 (283)

Random representation of Blasius’ formula through stochastic complex integrals

International Journal of Mathematics for Industry, 2019
Two-dimensional flow is considered in the complex plane. We discuss Blasius’ formula in a perfect fluid through stochastic complex integrals. This formula is also investigated in a viscous fluid.
Kouji Yamamuro
doaj   +1 more source

What Do Large Language Models Know About Materials?

Advanced Engineering Materials, EarlyView.
If large language models (LLMs) are to be used inside the material discovery and engineering process, they must be benchmarked for the accurateness of intrinsic material knowledge. The current work introduces 1) a reasoning process through the processing–structure–property–performance chain and 2) a tool for benchmarking knowledge of LLMs concerning ...
Adrian Ehrenhofer, Thomas Wallmersperger, Gianaurelio Cuniberti   +2 more
wiley   +1 more source

Square-Mean Asymptotically Almost Automorphic Mild Solutions to a Class of Semi-linear Stochastic Differential Equations

Journal of Harbin University of Science and Technology, 2022
The applications of the theories of square-mean almost automorphic type functions have attracted more and more attention by mathematics researchers, square-mean asymptotically almost automorphic solutions of this class of differential equations have a ...
YAO Hui-li, HUO Gui-zhen, SUN Hai-tong, WANG Jing-nan   +3 more
doaj   +1 more source

Efficient Process Development for Laser Powder Bed Fusion of a Soft‐Magnetic Metallic Glass Composite

Advanced Engineering Materials, EarlyView.
Iron‐based metallic glass alloys exhibit excellent soft‐magnetic properties, and unprecedented geometrical freedom in the design of soft‐magnetic metallic glass components is made possible by additive manufacturing. An efficient workflow for developing parameters for laser‐based powder bed fusion of a Fe‐based metallic glass alloy is presented along ...
Julia Löfstrand, Priyanka Saha, Vidhiaza Leviandhika, Urban Wiklund, Alexander Elsen, Carolin Zintel, Lena Thorsson, Petra E. Jönsson   +7 more
wiley   +1 more source

The random Wigner distribution of Gaussian stochastic processes with covariance in S0(ℝ2d)

Journal of Function Spaces and Applications, 2005
The paper treats time-frequency analysis of scalar-valued zero mean Gaussian stochastic processes on ℝd. We prove that if the covariance function belongs to the Feichtinger algebra S0(ℝ2d) then: (i) the Wigner distribution and the ambiguity function of ...
Patrik Wahlberg
doaj   +1 more source

Multimodal Mechanical Testing of Additively Manufactured Ti6Al4V Lattice Structures: Compression, Bending, and Fatigue

Advanced Engineering Materials, EarlyView.
In this experimental study, the mechanical properties of additively manufactured Ti‐6Al‐4V lattice structures of different geometries are characterized using compression, four point bending and fatigue testing. While TPMS designs show superior fatigue resistance, SplitP and Honeycomb lattice structures combine high stiffness and strength. The resulting
Klaus Burkart, Jonas Schmidt, Anastasiya Toenjes, Johanna Eisenträger   +3 more
wiley   +1 more source

On Fractional Hermite–Hadamard-Type Inequalities for Harmonically s-Convex Stochastic Processes

Fractal and Fractional
In this paper, we investigate Hermite–Hadamard-type inequalities for harmonically s-convex stochastic processes via Riemann–Liouville fractional integrals. We begin by introducing the notion of harmonically s-convex stochastic processes. Subsequently, we
Rabab Alzahrani, Raouf Fakhfakh, Ghadah Alomani, Badreddine Meftah   +3 more
doaj   +1 more source

Multiple Q-Adapted Integrals and Ito Formula of Noncommutative Stochastic Calculus in Fock Space

, 2011
We study the continuity property of multiple Q-adapted quantum stochastic integrals with respect to noncommuting integrands given by the non-adapted multiple integral kernels in Fock scale. The noncommutative algebra of relatively (exponentially) bounded
Belavkin, Viacheslav P., Brown, Matthew F.   +1 more
core   +1 more source

Engineering Deformation and Failure in Diamond Triply Periodic Minimal Surface Lattices via 3D Wall‐Thickness Grading

Advanced Engineering Materials, EarlyView.
The work demonstrates that strategic wall‐thickness grading in diamond triply periodic minimal surface lattices enables precise tuning of deformation and failure behavior under compression. Different gradation patterns guide how and where the structure collapses, improving energy absorption or promoting controlled brittle failure.
Giovanni Rizza, Danilo Bruson, Manuela Galati, Luca Iuliano   +3 more
wiley   +1 more source

An Averaging Principle for Stochastic Differential Delay Equations with Fractional Brownian Motion

Abstract and Applied Analysis, 2014
An averaging principle for a class of stochastic differential delay equations (SDDEs) driven by fractional Brownian motion (fBm) with Hurst parameter in (1/2,1) is considered, where stochastic integration is convolved as the path integrals. The solutions
Yong Xu, Bin Pei, Yongge Li
doaj   +1 more source