Deformed model sets and distorted Penrose tilings

Author(s):  
Bernd Sing ◽  
T. Richard Welberry

AbstractIn this article, we show how the mathematical concept of a deformed model set can be used to gain insight into the diffraction pattern of quasicrystalline structures. We explain what a deformed model set is, what its characteristic features are and how it relates to certain disorder phenomena in solids. We then apply this concept to distorted Penrose tilings,

1995 ◽  
Vol 32 (2) ◽  
pp. 141-148 ◽  
Author(s):  
I. S. Hansen ◽  
H. J. Vested ◽  
M. A. Latif

A modelling study of the hydrodynamics and spreading of wastewater from existing and future outfalls in the Bosphorus region has been conducted applying a 3-Dimensional model. The modelling is based on SYSTEM 3, which is a general modelling system for baroclinic flow simulating unsteady currents, waterlevels, salinity and temperature within the model area. The model set-up covers the Black Sea-Bosphorus-Marmara Sea junction area. The set-up is calibrated by data from a dedicated field program and previous field experience. The model is designed to describe the characteristic features of the flow in the junction area such as the effects of variations in waterlevel differences between the Sea of Marmara and the Black Sea on the important two-layer structure in the strait and the flow fields generated by the upper layer jet in the Bosphorus-Marmara junction. This model has been applied for evaluation of disposal of wastewater and for the subsequent water quality studies. The general use of a baroclinic 3-D hydrodynamic model to simulate disposal of wastewater is discussed. Examples of the application of the model of the junction area to evaluate the different strategies for disposal of wastewater are presented.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Ryo Horikoshi ◽  
Hiroyuki Higashino ◽  
Yoji Kobayashi ◽  
Hiroshi Kageyama

Abstract Structure model sets for inorganic compounds are generally expensive; their distribution to all students in a class is therefore usually impractical. We have therefore developed a structure model set to illustrate inorganic compounds. The set is constructed with inexpensive materials: ping-pong balls, and snap buttons. The structure model set can be used to illustrate isomerism in coordination compounds and periodic structures of ceramic perovskites. A hands-on activity using the structure model set was developed for high school students and was well-received by them. Despite the concepts being slightly advanced for them, the students’ retention of the knowledge gained through the activity was tested a week after they completed the activity and was found to be relatively high, demonstrating the usefulness of the activity based on the structure model set.


Author(s):  
Minghui Wu ◽  
Canghong Jin ◽  
Wenkang Hu ◽  
Yabo Chen

Understanding mathematical topics is important for both educators and students to capture latent concepts of questions, evaluate study performance, and recommend content in online learning systems. Compared to traditional text classification, mathematical topic classification has several main challenges: (1) the length of mathematical questions is relatively short; (2) there are various representations of the same mathematical concept(i.e., calculations and application); (3) the content of question is complex including algebra, geometry, and calculus. In order to overcome these problems, we propose a framework that combines content tokens and mathematical knowledge concepts in whole procedures. We embed entities from mathematics knowledge graphs, integrate entities into tokens in a masked language model, set up semantic similarity-based tasks for next-sentence prediction, and fuse knowledge vectors and token vectors during the fine-tuning procedure. We also build a Chinese mathematical topic prediction dataset consisting of more than 70,000 mathematical questions with topics. Our experiments using real data demonstrate that our knowledge graph-based mathematical topic prediction model outperforms other state-of-the-art methods.


1987 ◽  
Vol 2 (3) ◽  
pp. 179-183 ◽  
Author(s):  
S. C. Laufmann

AbstractKnowledge-based System (KBS) technologies have been applied to a variety of knowledge-related tasks with varying degrees of success. Differentiating among classes of knowledge-related tasks, based on the amounts of problem-solving knowledge and case-specific data involved, can provide valuable insight into why this occurs. Based on this comparison, four classes of problems are described. One class, of data-intensive tasks, includes problem types that are difficult or impossible for humans to perform, yet may be solved in a cost-effective manner using currently accessible KBS technology. The characteristic features of problems in this class are given, together with an example of a successfully fielded knowledge-based system that solves a problem from this class.


Carbon ◽  
2017 ◽  
Vol 115 ◽  
pp. 279-284 ◽  
Author(s):  
V. Mortet ◽  
Z. Vlčková Živcová ◽  
A. Taylor ◽  
O. Frank ◽  
P. Hubík ◽  
...  

2002 ◽  
Vol 45 (1) ◽  
pp. 123-130 ◽  
Author(s):  
Robert V. Moody

AbstractWe give a new measure-theoretical proof of the uniform distribution property of points in model sets (cut and project sets). Each model set comes as a member of a family of related model sets, obtained by joint translation in its ambient (the ‘physical’) space and its internal space. We prove, assuming only that the window defining themodel set ismeasurable with compact closure, that almost surely the distribution of points in any model set from such a family is uniform in the sense of Weyl, and almost surely the model set is pure point diffractive.


1985 ◽  
Vol 16 (1) ◽  
pp. 11-15
Author(s):  
Kurt Kraetschmer

The paper discusses problems encountered in counseling and rehabilitating the client who suffers from a speech-language impairment which limits his communicative abilities and skills. The first part addresses questions germane to family counseling and provides insight into the problem of adequate environment for speech-language therapy. The second part propounds a classification of various speech-langulfge disorders which are frequently encountered in the clinical practice. It also describes the characteristic features of these disorders and appropriate intervention strategies. The last part presents two case studies from the clinical practice to show the results of an integrative approach to the rehabilitation of the speech-language impaired client.


2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Aisha Khoja ◽  
Mubassar Fida ◽  
Attiya Shaikh

Pycnodysostosis is an autosomal recessive disorder that manifests as osteosclerosis of the skeleton due to the defective osteoclasts mediated bone turnover. The diagnosis of this disorder is established on the basis of its characteristic features and must be differentially diagnosed with other bone disorders. Dental surgeons should be aware of the limitations and possible adverse oral complications such as osteomyelitis of bone in these patients. This will guide them in planning realistic treatment goals. This paper reports the clinical and radiographic features of pycnodysostosis with the great emphasis on its dentofacial characteristics. The aim of this case report is to give an insight into the etiology, pathogenesis, and differential diagnosis of this disorder and to prepare the dentists and maxillofacial surgeons to overcome the challenges in treating these patients.


2017 ◽  
Vol 9 (1) ◽  
pp. 29-50 ◽  
Author(s):  
András Donát Kovács ◽  
Edit Hoyk ◽  
Jenő Zsolt Farkas

Abstract In Hungary, the aridification primarily affects the Great Hungarian Plain, most specifically the “Homokhátság” area which is part of the Danube-Tisza Interfluve. On the basis of our experience gained in the past 15 years, we would like to give an insight into the complex problems of this rural region. Our starting point is the aridification process and water scarcity which are characteristic features of this area for the last century. We investigate the related problems in land use management such as unfavourable land use and vegetation changes and the challenges in the local economy and social sustainability. In this respect we introduce the emerging issues in agriculture, forestry and nature conservation which may be relevant in European context too. We have discovered specific factors related to the devaluation of the rural environment and found that significant part of the unfavourable phenomena can be explained by the combined effect of climatic changes, improper land use and inappropriate environmental management. Based on our findings we outline a possible regional pathway for a sustainable rural development.


2019 ◽  
Author(s):  
Miroslav Sekulic ◽  
Helmut G Rennke ◽  
Arash Rashidi

Abstract Hyperimmunoglobulin E syndrome (HIES) is a rare immunodeficiency syndrome with characteristic features of pulmonary infections, eczema, recurrent skin abscesses and elevated serum IgE. We present a case of an HIES patient referred for nephrology consultation with elevated serum creatinine and nephrotic-range proteinuria. The subsequent kidney biopsy revealed AA-type amyloidosis and a separate and distinct inactive immune complex-mediated glomerulopathy with frequent glomerular capillary wall and mesangial polyclonal deposits. Potential kidney pathology in the setting of HIES has not been well described previously, and this case provides insight into associated renal comorbidities faced by patients with this rare syndrome.


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