Results 41 to 50 of about 824,213 (332)
Aperiodic order and pure point diffraction [PDF]
, 2008 We give a leisurely introduction into mathematical diffraction theory with a focus on pure point diffraction. In particular, we discuss various characterisations of pure point diffraction and common models arising from cut and project schemes. We finish with a list of open problems.
arxiv +1 more source
Relating the pure and ensemble density matrix functional [PDF]
J. Chem. Phys. 149, 231102 (2018), 2018 A crucial theorem in Reduced Density Matrix Functional Theory (RDMFT) suggests that the universal pure and ensemble functional coincide on their common domain of pure N-representable one-matrices. We refute this by a comprehensive analysis of the geometric picture underlying Levy's constrained search. Moreover, we then show that the ensemble functional
arxiv +1 more source
h-Almost Ricci solitons with concurrent potential fields
AIMS Mathematics, 2020 In this paper, we will focus our attention on the structure of h-almost Ricci solitons. A complete classification of h-almost Ricci solitons with concurrent potential vector fields is given.
Hamed Faraji +2 more
doaj +1 more source
mizar-items: Exploring fine-grained dependencies in the Mizar Mathematical Library [PDF]
, 2011 The Mizar Mathematical Library (MML) is a rich database of formalized mathematical proofs (see http://mizar.org). Owing to its large size (it contains more than 1100 "articles" summing to nearly 2.5 million lines of text, expressing more than 50000 ...
A. Grabowski, I. Lakatos, S.G. Simpson
core +1 more source
Advanced Materials Interfaces, EarlyView., 2023 This review discusses the use of Surface‐Enhanced Raman Spectroscopy (SERS) combined with Artificial Intelligence (AI) for detecting antimicrobial resistance (AMR). Various SERS studies used with AI techniques, including machine learning and deep learning, are analyzed for their advantages and limitations.
Zakarya Al‐Shaebi +4 more
wiley +1 more source
Polarized ensembles of random pure states [PDF]
Journal of Physics A: Mathematical and Theoretical 46 (2013)
315306, 2013 A new family of polarized ensembles of random pure states is presented. These ensembles are obtained by linear superposition of two random pure states with suitable distributions, and are quite manageable. We will use the obtained results for two purposes: on the one hand we will be able to derive an efficient strategy for sampling states from ...
arxiv +1 more source
F(R) gravity in purely affine formulation [PDF]
Int.J.Mod.Phys.A23:1891-1901,2008, 2007 The purely affine, metric-affine and purely metric formulation of general relativity are dynamically equivalent and the relation between them is analogous to the Legendre relation between the Lagrangian and Hamiltonian dynamics. We show that one cannot construct a dynamically equivalent, purely affine Lagrangian from a metric-affine or metric F(R ...
arxiv +1 more source
Contexts for ‘pure’ mathematics: a framework for analysing A-level mathematics papers
, 2008 The use of context in mathematics test items is now accepted practice in many forms of national assessment in the UK. Yet research suggests that such use of context is not straightforward and that children may apply a variety of interpretations to ...
Jones, Keith, Little, Chris
core +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
On Edge H-Irregularity Strength of Hexagonal and Octagonal Grid Graphs
Journal of Mathematics, 2022 The edge H-irregularity strength, ehsΓ,H, of a graph Γ is the smallest integer k, such that Γ has an H-irregular edge k-labeling. In this study, we compute the exact value of edge H-irregularity strength of hexagonal and octagonal grid graphs.
Muhammad Ibrahim +3 more
doaj +1 more source