Results 91 to 100 of about 1,082,182 (342)
Quantum Ergodicity and Mixing [PDF]
arXiv, 2005 This is an expository article for the Encyclopedia of Mathematical Physics on the subject in the title.
arxiv
A Glimpse at Mathematical Diffraction Theory [PDF]
, 2002 Mathematical diffraction theory is concerned with the analysis of the diffraction measure of a translation bounded complex measure $\omega$. It emerges as the Fourier transform of the autocorrelation measure of $\omega$. The mathematically rigorous approach has produced a number of interesting results in the context of perfect and random systems, some ...
arxiv +1 more source
A Novel Simulation Approach for Damage Evolution during Tailored Forming
Advanced Engineering Materials, EarlyView.Traditional damage models are struggling to accurately and efficiently simulate large‐scale three‐dimensional models with a great number of degrees of freedoms. A new gradient‐enhanced damage model based on the extended Hamilton principle can significantly reduce the computation time while ensuring mesh‐independence which is suitable to use in tailored
Fangrui Liu +2 more
wiley +1 more source
Recent results in semiclassical approximation with rough potentials [PDF]
arXiv, 2011 This is an extended abstract for the conference "Microlocal2011 : Microlocal Methods in Mathematical Physics and Global Analysis Universit\"at T\"ubingen, June 14 - 18, 2011"
arxiv
Bioinspired Design of Isotropic Lattices with Tunable and Controllable Anisotropy
Advanced Engineering Materials, EarlyView.This study introduces nested isotropic lattices, integrating architectural elements like nesting orders and orientations inspired by bioarchitectures. The design enables tunable anisotropy across nine mono‐nest and twenty multi‐nest lattices with 252 parametric variations, demonstrating transitions from shear‐ to tensile‐compression‐dominant behaviors ...
Ramalingaiah Boda +2 more
wiley +1 more source
Mathematics Hidden Behind the Two Coefficients of Babylonian Mathematics [PDF]
arXiv, 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
A time-frequency analysis perspective on Feynman path integrals [PDF]
arXiv, 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
Advanced 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
Advanced Engineering Materials, EarlyView.A novel approach for alloy development in laser powder bed fusion is introduced. Instead of producing massive samples of one composition at a time, prepressed powder bed samples produced from powder mixtures are processed. Guidelines for the selection of precursor powders are developed.
Felix Großwendt +6 more
wiley +1 more source
Mathematical and Algorithmic Analysis of Network and Biological Data [PDF]
arXiv, 2014 This dissertation contributes to mathematical and algorithmic problems that arise in the analysis of network and biological data.
arxiv