Results 1 to 10 of about 19 (19)

Pure discrete spectrum and regular model sets on some non‐unimodular substitution tilings

Acta Crystallographica Section A, Volume 78, Issue 5, Page 437-451, September 2022., 2022
The equivalence between pure discrete spectrum and regular model sets on some non‐unimodular substitution tilings is established. This will help to provide useful information about the cut‐and‐project scheme used in the description of quasiperiodic structures.Substitution tilings with pure discrete spectrum are characterized as regular model sets whose
Jeong-Yup Lee
wiley   +1 more source

Coordination sequences of crystals are of quasi‐polynomial type

Acta Crystallographica Section A, Volume 77, Issue 2, Page 138-148, March 2021., 2021
It is proved that the coordination sequence of the graph obtained from a crystal is of quasi‐polynomial type, as had been postulated by Grosse‐Kunstleve et al. [Acta Cryst. (1996), A52, 879–889] in their study of coordination sequences of zeolites.The coordination sequence of a graph measures how many vertices the graph has at each distance from a ...
Yusuke Nakamura, Ryotaro Sakamoto, Takafumi Mase, Junichi Nakagawa   +3 more
wiley   +1 more source

A Review on Fatigue Life Prediction Methods for Metals

Advances in Materials Science and Engineering, Volume 2016, Issue 1, 2016., 2016
Metallic materials are extensively used in engineering structures and fatigue failure is one of the most common failure modes of metal structures. Fatigue phenomena occur when a material is subjected to fluctuating stresses and strains, which lead to failure due to damage accumulation. Different methods, including the Palmgren‐Miner linear damage rule‐
E. Santecchia, A. M. S. Hamouda, F. Musharavati, E. Zalnezhad, M. Cabibbo, M. El Mehtedi, S. Spigarelli, Philip Eisenlohr   +7 more
wiley   +1 more source

Advances in Study of Poincaré Inequalities and Related Operators

Journal of Function Spaces, Volume 2014, Issue 1, 2014., 2014
We will present an up‐to‐date account of the recent advances made in the study of Poincaré inequalities for differential forms and related operators.
Yuming Xing, Shusen Ding, Peilin Shi
wiley   +1 more source

Dynamics of the Energy Relaxation and Decoherence of a Photon‐Atom Bound State in an Anisotropic Photonic Crystal

Advances in Condensed Matter Physics, Volume 2013, Issue 1, 2013., 2013
An atom embedded inside photonic crystals can form a photon‐atom bound state if the emission frequency of the excited atom is lying inside the photonic‐band gap of photonic crystals. We studied the dynamics of the energy relaxation and decoherence of a QPAB, qubit made by a photon‐atom bound state in photonic crystals.
Jing-Nuo Wu, Wen-Feng Hsieh, Hsin-Chien Huang, Szu-Cheng Cheng, Jörg Fink   +4 more
wiley   +1 more source

The Computing of Intersectant Relations for Its Strength Problem on Damage and Fracture to Materials with Short and Long Crack

International Scholarly Research Notices, Volume 2011, Issue 1, 2011., 2011
Adopt two types of damage variables, a and D, and make the bidirectional combined coordinate system and the bidirectional curves in the whole process, describing their damage evolutive behaviors on fatigue damage‐fracture to elastic‐plastic steels; communicate the cross‐referencing between their computing models and between describing curves at each ...
Yangui Yu, Yiming Sun, Yanghui Ma, Feng Xu, J.-L. Marcelin   +4 more
wiley   +1 more source

The maximal operator in weighted variable spaces Lp(⋅)

Journal of Function Spaces, Volume 5, Issue 3, Page 299-317, 2007., 2007
We study the boundedness of the maximal operator in the weighted spaces Lp(⋅)(ρ) over a bounded open set Ω in the Euclidean space ℝn or a Carleson curve Γ in a complex plane. The weight function may belong to a certain version of a general Muckenhoupt‐type condition, which is narrower than the expected Muckenhoupt condition for variable exponent, but ...
Vakhtang Kokilashvili, Natasha Samko, Stefan Samko, Vladimir D. Stepanov   +3 more
wiley   +1 more source

Linear algebra and differential geometry on abstract Hilbert space

International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 14, Page 2241-2275, 2005., 2005
Isomorphisms of separable Hilbert spaces are analogous to isomorphisms of n‐dimensional vector spaces. However, while n‐dimensional spaces in applications are always realized as the Euclidean space Rn, Hilbert spaces admit various useful realizations as spaces of functions.
Alexey A. Kryukov
wiley   +1 more source

Spaces of complex functions and vector measures in incomplete spaces

Journal of Function Spaces, Volume 2, Issue 1, Page 1-16, 2004., 2004
It is known that the space L1(μ) of complex functions which are integrable with respect to a vector measure μ taking values in a (not neessarily complete) locally convex space is not an ideal, in general. We discuss several natural properties which L1(μ) may or may not possess and consider various implications between these properties. For a particular
Werner Riker, Martin Väth, Jürgen Appell   +2 more
wiley   +1 more source

Local uniform convexity and Kadec‐Klee type properties in K‐interpolation spaces I: General Theory

Journal of Function Spaces, Volume 2, Issue 2, Page 125-173, 2004., 2004
We present a systematic study of the interpolation of local uniform convexity and Kadec‐Klee type properties in K‐interpolation spaces. Using properties of the K‐functional of J.Peetre, our approach is based on a detailed analysis of properties of a Banach couple and properties of a K‐interpolation functional which guarantee that a given K ...
Peter G. Dodds, Theresa K. Dodds, Alexander A. Sedaev, Fyodor A. Sukochev, Evgueni Semenov   +4 more
wiley   +1 more source