scholarly journals Pattern Formation and Tropical Geometry

2020 ◽  
Vol 8 ◽  
Author(s):  
Nikita Kalinin
Keyword(s):  
Pattern Formation ◽  
Tropical Geometry ◽  
Quadratic Functions ◽  
Linear Defects ◽  
Superharmonic Functions ◽  
Pattern Structures ◽  
Sandpile Models ◽  
Main Ideas

Sandpile models exhibit fascinating pattern structures: patches, characterized by quadratic functions, and line-shaped patterns (also called solitons, webs, or linear defects). It was predicted by Dhar and Sadhu that sandpile patterns with line-like features may be described in terms of tropical geometry. We explain the main ideas and technical tools—tropical geometry and discrete superharmonic functions—used to rigorously establish certain properties of these patterns. It seems that the aforementioned tools have great potential for generalization and application in a variety of situations.

Application of Modified Bloch Waves to Image Analysis of Extended Linear Defects

1974 ◽  
Vol 32 ◽  
pp. 402-403
Author(s):  
S. Nakahara ◽  
D. M. Maher
Keyword(s):  
Image Analysis ◽  
Computational Approach ◽  
Dislocation Loops ◽  
Plane Wave Expansion ◽  
Dynamical Equations ◽  
Bloch Waves ◽  
Linear Defects ◽  
Imperfect Crystal ◽  
Localized Defects ◽  
Defective Crystals

Since Head first demonstrated the advantages of computer displayed theoretical intensities from defective crystals, computer display techniques have become important in image analysis. However the computational methods employed resort largely to numerical integration of the dynamical equations of electron diffraction. As a consequence, the interpretation of the results in terms of the defect displacement field and diffracting variables is difficult to follow in detail. In contrast to this type of computational approach which is based on a plane-wave expansion of the excited waves within the crystal (i.e. Darwin representation ), Wilkens assumed scattering of modified Bloch waves by an imperfect crystal. For localized defects, the wave amplitudes can be described analytically and this formulation has been used successfully to predict the black-white symmetry of images arising from small dislocation loops.

Pattern formation in the splay Freedericks transition of a nematic side-group polysiloxane

1993 ◽  
Vol 3 (6) ◽  
pp. 865-889 ◽  
Author(s):  
Norbert Schwenk ◽  
Hans Wolfgang Spiess
Keyword(s):  
Pattern Formation ◽  
Side Group

Epitaxial YBa2Cu3O7-8 films : Crucial role of growth-induced linear defects in microwave properties

2001 ◽  
Vol 11 (PR11) ◽  
pp. Pr11-47-Pr11-52
Author(s):  
V. M. Pan ◽  
V. S. Flis ◽  
V. A. Komashko ◽  
O. G. Plys ◽  
C. G. Tretiatchenko ◽  
...  
Keyword(s):  
Crucial Role ◽  
Microwave Properties ◽  
Linear Defects

PENGARUH MODEL PEMBELAJARAN COOPERATIVE INTEGRATED READING AND COMPOSITION (CIRC) TERHADAP KEMAMPUAN MENENTUKAN IDE POKOK PARAGRAF SISWA KELAS V SD NEGERI 003 PULAU KOPUNG KECAMATAN SENTAJO RAYA KABUPATEN KUANTAN SINGINGI

2019 ◽  
Vol 3 (2) ◽  
Author(s):  
Yuwanda Megri Santika ◽  
Otang Kurniaman ◽  
Zariul Antosa
Keyword(s):  
Main Idea ◽  
Learning Model ◽  
Communication Process ◽  
Fifth Grade ◽  
Control Group ◽  
Control Group Design ◽  
Group Design ◽  
Fifth Grade Students ◽  
Quasi Experimental ◽  
Main Ideas

Reading is one of the important aspects in the communication process. Reading can make someone better understand the contents of the reading. In learning to make it easier for students to understand the contents of the reading it will be easier if it begins with the ability to determine the main ideas of the paragraph. Based on this, the researcher conducted a study by applying the Cooperative Integrated Reading and Composition (CIRC) learning model to the ability to determine the main idea of the paragraph at the fifth grade students of SD 003 Pulau Kopung. This study aims to determine the effect of the CIRC learning model on the ability to determine the main ideas of paragraphs of fifth grade students of SD Negeri 003 Pulau Kopung. This research method is a quasi- experimental Nonequivalent Control Group Design. This research was conducted in two classes, the VA class as the control class and VB class as the experimental class with 22 students in each class. The results of the study showed that the CIRC learning model influenced the ability to determine paragraph main ideas with the results of calculations derived from the gain index, the experimental class using the CIRC learning model got an increase in gain of 0.59 with the middle class and the control class with the normal learning model got an increase of 0.31 with medium class.

Pattern Formation in Thin Polymer Films: A New Morphology

2000 ◽  
Vol 629 ◽  
Author(s):  
Jean-Loup Masson ◽  
Peter F. Green
Keyword(s):  
Growth Rate ◽  
Pattern Formation ◽  
Early Stage ◽  
Structural Evolution ◽  
Distinct Form ◽  
Thin Polymer Films ◽  
Intermediate Morphology ◽  
Thin Polymer ◽  
Nonwetting Liquid ◽  
Cylindrical Holes

ABSTRACTResearchers have shown that thin, nonwetting, liquid homopolymer films dewet substrates, forming patterns that reflect fluctuations in the local film thickness. These patterns have been shown to be either discrete cylindrical holes or bicontinuous “spinodal-like” patterns. In this paper we show the existence of a new morphology. During the early stage of dewetting, discrete highly asymmetric holes appear spontaneously throughout the film. The nucleation rate of these holes is faster than their growth rate. The morphology of the late stage of evolution, after 18 days, is characterized by a bicontinuous pattern, distinct form conventional spinodal dewetting patterns. This morphology has been observed for a range of film thicknesses between 7.5 and 21nm. The structural evolution of this intermediate morphology is discussed.

Alexander Solzhenitsyn on the Indissoluble Connection of Russian Patriotism and Anti-Sovetism. The Main Ideas of «The Gulag Archipelago»

2019 ◽  
Vol 66 ◽  
pp. 221-244
Author(s):  
Alexander S. Tsipko
Keyword(s):  
19Th Century ◽  
Russian Philosophy ◽  
Creative Work ◽  
The People ◽  
Main Ideas ◽  
The 19Th Century ◽  
Gulag Archipelago

In the article the author analyzes the main notional lines in the work of A.I. Solzhenitsyn through the prism of Russian philosophy legacy. According to the author the analysis of the nature, motives and lie in the works of the writer are related to the respective works of F.M. Dostoevsky, K.N. Leontiev and other Russian thinkers. «All Communist content is turned into nonsense by the Russian life», and «all its nonsense is severe due to the intolerable truth of the suffering…», – this statement of F.A. Stepun is well pertinent to the creative work of A.I. Solzhenitsyn that shows vivid examples of barbaric cruelty of the authorities towards the people. Still, according to the author of the article, the reasons for such cruelty were reflected even earlier, in the works of Russian philosophers of the 19th century.

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