The Whittaker–Robinson flow chart for harmonic analysis

2010 ◽  
pp. 821-824
Author(s):  
David W. Kammler
Keyword(s):  
Harmonic Analysis ◽  
Flow Chart

Thickness and composition determinations from T.E.M. specimens using both x-ray and backscattered electron data

1984 ◽  
Vol 42 ◽  
pp. 576-577
Author(s):  
M.D. Ball ◽  
H. Lagace ◽  
M.C. Thornton
Keyword(s):  
Electron Microscope ◽  
Atomic Number ◽  
Transmission Electron Microscope ◽  
Convenient Method ◽  
Flow Chart ◽  
X Ray ◽  
Intensity Measurements ◽  
Transmission Electron ◽  
Electron Intensity ◽  
Backscattered Electron

The backscattered electron coefficient η for transmission electron microscope specimens depends on both the atomic number Z and the thickness t. Hence for specimens of known atomic number, the thickness can be determined from backscattered electron coefficient measurements. This work describes a simple and convenient method of estimating the thickness and the corrected composition of areas of uncertain atomic number by combining x-ray microanalysis and backscattered electron intensity measurements.The method is best described in terms of the flow chart shown In Figure 1. Having selected a feature of interest, x-ray microanalysis data is recorded and used to estimate the composition. At this stage thickness corrections for absorption and fluorescence are not performed.

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

2009 ◽  
Author(s):  
Tullio Ceccherini-Silberstein ◽  
Fabio Scarabotti ◽  
Filippo Tolli
Keyword(s):  
Representation Theory ◽  
Harmonic Analysis ◽  
Finite Groups ◽  
Wreath Products

Classical and Multilinear Harmonic Analysis

2009 ◽  
Author(s):  
Camil Muscalu ◽  
Wilhelm Schlag
Keyword(s):  
Harmonic Analysis

Disk Battery Ingestion: A Simple User-Guide

2020 ◽  
Vol 15 ◽  
Author(s):  
Carmine Petruzziello ◽  
Paolo Maurizio Soave
Keyword(s):  
Emergency Physician ◽  
Case Reports ◽  
Flow Chart ◽  
Pediatric Age ◽  
Stable Patient ◽  
Publication Type ◽  
Severe Injuries ◽  
X Ray ◽  
Study Population ◽  
Serious Injuries

Introduction: Disk Battery Ingestion (DBI) is a cause of access to the emergency department (ED), especially in pediatric age. This problem, if not well managed, may lead to serious injuries, with several complications involving the gastrointestinal and respiratory tract. Objective: Aim of this review is to analyze the literature of the last 25 years to make a decisional flow-chart that may help the emergency physician. Methods: For this review 36 articles have been analyzed (8 articles and 28 case reports), from 1995 to 2019. Data considered from each study were: year of publication, type of study, population studied, type of battery, timing of ingestion, treatment, outcomes, complications. Results: A decisional flow-chart has been configured. X-ray should be performed as a first step in every stable patient, meanwhile CT scan should be performed in unstable patients. When the battery is still localized in the esophagus, endoscopy should be performed as soon as possible, meanwhile, when the battery is beyond the esophagus, it should be noted its diameter before taking a decision. Conclusion: The use of the flow-chart proposed may reduce the risk of consequences and severe injuries for the patients, helping the emergency physician in his decisional process.

Geometric Cardinal Invariants, Maximal Functions and a Measure Theoretic Pigeonhole Principle

2005 ◽  
Vol 11 (4) ◽  
pp. 517-525
Author(s):  
Juris Steprāns
Keyword(s):  
Harmonic Analysis ◽  
Set Theory ◽  
Harmonic Functions ◽  
Maximal Functions ◽  
Pigeonhole Principle ◽  
Cardinal Invariants ◽  
Geometric Objects

AbstractIt is shown to be consistent with set theory that every set of reals of size ℵ1 is null yet there are ℵ1 planes in Euclidean 3-space whose union is not null. Similar results will be obtained for other geometric objects. The proof relies on results from harmonic analysis about the boundedness of certain harmonic functions and a measure theoretic pigeonhole principle.

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