Results 71 to 80 of about 1,845,868 (327)

A time-frequency analysis perspective on Feynman path integrals [PDF]

open access: yesarXiv, 2020
The purpose of this expository paper is to highlight the starring role of time-frequency analysis techniques in some recent contributions concerning the mathematical theory of Feynman path integrals. We hope to draw the interest of mathematicians working in time-frequency analysis on this topic, as well as to illustrate the benefits of this fruitful ...
arxiv  

Beyond Global Mechanical Properties: Bioinspired Triply‐Periodic Minimal Surface Cellular Solids for Efficient Mechanical Design and Optimization

open access: yesAdvanced Engineering Materials, EarlyView.
Using novel probe‐based metrics, this study evaluates lattice structures on criteria critical to cellular solid optimization. Triply‐periodic minimal surface (TPMS) lattices outperform other lattices, offering more predictable mechanical behavior in complex design spaces and, as a result, higher performance in optimized models.
Firas Breish   +2 more
wiley   +1 more source

Mathematics Hidden Behind the Two Coefficients of Babylonian Mathematics [PDF]

open access: yesarXiv, 2013
In the present paper I shall reveal two circular figures hidden behind the Susa mathematical text no.3,lines 5 and 6 with my own analysis of the text.
arxiv  

Advancing Digital Transformation in Material Science: The Role of Workflows Within the MaterialDigital Initiative

open access: yesAdvanced Engineering Materials, EarlyView.
The MaterialDigital initiative drives the digital transformation of material science by promoting findable, accessible, interoperable, and reusable principles and enhancing data interoperability. This article explores the role of scientific workflows, highlights challenges in their adoption, and introduces the Workflow Store as a key tool for sharing ...
Simon Bekemeier   +37 more
wiley   +1 more source

Elastic‐Wave Propagation in Chiral Metamaterials: A Couple‐Stress Theory Perspective

open access: yesAdvanced Engineering Materials, EarlyView.
The intrinsic chirality of chiral metamaterials renders an effective medium based on the classical continuum theory ineffective for predicting their acoustic activity. This limitation is addressed in the present study by employing augmented asymptotic homogenization to derive a couple‐stress‐based effective medium, enabling accurate predictions in the ...
Shahin Eskandari   +5 more
wiley   +1 more source

Mathematical and Algorithmic Analysis of Network and Biological Data [PDF]

open access: yesarXiv, 2014
This dissertation contributes to mathematical and algorithmic problems that arise in the analysis of network and biological data.
arxiv  

A mathematical analysis of numerical integration of electromagnetism seismograms [PDF]

open access: yesEos, Transactions American Geophysical Union, 1944
GALITZIN has shown that for electromagnetic seismograms the earth‐motion may be expressed in terms of (1) the derivative of the trace‐amplitude, (2) the trace‐amplitude, (3) the first integral, (4) the second integral, and (5) the third integral.Now NEUMANN has developed an ingenious method of numerical integration for use on accelerometer‐records, in ...
openaire   +1 more source

On the Rigidity and Mechanical Behavior of Triply Periodic Minimal Surfaces‐Based Lattices: Insights from Extensive Experiments and Simulations

open access: yesAdvanced Engineering Materials, EarlyView.
This study examines the mechanical properties of triply periodic minimal surfaces (TPMS)‐based lattices, analyzing 36 architectures in elastic and plastic regimes. It evaluates the applicability of beam‐based scaling laws to TPMS lattices. Rigidity arises from the alignment of members with the load direction and solid regions preventing rotation.
Lucía Doyle   +2 more
wiley   +1 more source

Enhancing Corrosion Resistance and Mechanical Strength of 3D‐Printed Iron Polylactic Acid for Marine Applications via Laser Surface Texturing

open access: yesAdvanced Engineering Materials, EarlyView.
Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat   +6 more
wiley   +1 more source

Experimental detection of interactive phenomena and their analysis [PDF]

open access: yesarXiv, 2000
The article is devoted to mathematical methods of experimental detection of interactive phenomena in complex systems and their analysis.
arxiv  

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