LEONID ANDREYEV’S AND PÄR LAGERKVIST’S WORKS IN THE CONTEXT OF EXPRESSIONISM: THE PROBLEM STATEMENT

The article substantiates the classification of the creative methods of Leonid Andreyev (1871-1917) and Pär Lagerkvist (1891-1974) as expressionistic. Expressionism was the leading art and literature direction in the early XX century. The authors trace back the Russian and foreign academic tradition of viewing certain periods of these writers’ creative career as expressionistic. This tradition is based on some of the characteristics present in their works, such as heightened expression, one-dimensional characters, static scenes, grotesque forms, colour contrasts, the depiction of a chaotic world, and a nervous and alienated person within it. The authors come to the conclusion that the expressionist works of Leonid Andreyev and Pär Lagerkvist can be most effectively compared by employing the historical typological method developed by Victor Zhirmunsky.

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Classification of one-dimensional superattracting germs in positive characteristic

Ergodic Theory and Dynamical Systems ◽

10.1017/etds.2014.35 ◽

2014 ◽

Vol 35 (7) ◽

pp. 2242-2268 ◽

Cited By ~ 2

Author(s):

MATTEO RUGGIERO

Keyword(s):

Positive Characteristic ◽

Closed Field ◽

Algebraically Closed Field ◽

One Dimensional ◽

Higher Dimensional ◽

Dimensional Version

We give a classification of superattracting germs in dimension $1$ over a complete normed algebraically closed field $\mathbb{K}$ of positive characteristic up to conjugacy. In particular, we show that formal and analytic classifications coincide for these germs. We also give a higher-dimensional version of some of these results.

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Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity

Science Bulletin ◽

10.1016/j.scib.2021.04.027 ◽

2021 ◽

Author(s):

Wenjie Xi ◽

Zhi-Hao Zhang ◽

Zheng-Cheng Gu ◽

Wei-Qiang Chen

Keyword(s):

Topological Phases ◽

One Dimensional

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Invariants of weak equivalence in primitive matrices

Ergodic Theory and Dynamical Systems ◽

10.1017/s0143385700000316 ◽

2000 ◽

Vol 20 (2) ◽

pp. 611-626 ◽

Cited By ~ 7

Author(s):

RICHARD SWANSON ◽

HANS VOLKMER

Keyword(s):

Inverse Limit ◽

Direct Application ◽

Topological Classification ◽

Weak Equivalence ◽

Transition Matrices ◽

Inverse Limit Spaces ◽

Positive Dimension ◽

One Dimensional ◽

Dimension Group

Weak equivalence of primitive matrices is a known invariant arising naturally from the study of inverse limit spaces. Several new invariants for weak equivalence are described. It is proved that a positive dimension group isomorphism is a complete invariant for weak equivalence. For the transition matrices corresponding to periodic kneading sequences, the discriminant is proved to be an invariant when the characteristic polynomial is irreducible. The results have direct application to the topological classification of one-dimensional inverse limit spaces.

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Resonances and Torsion Numbers of Driven Dissipative Nonlinear Oscillators

Zeitschrift für Naturforschung A ◽

10.1515/zna-1986-0404 ◽

1986 ◽

Vol 41 (4) ◽

pp. 605-614 ◽

Cited By ~ 14

Author(s):

Ulrich Parlitz ◽

Werner Lauterborn

Keyword(s):

Nonlinear Oscillators ◽

Winding Number ◽

Local Flow ◽

One Dimensional ◽

Bifurcation Set ◽

Local Bifurcations ◽

Closed Orbits

The torsion of the local flow around closed orbits and its relation to the superstructure in the bifurcation set of strictly dissipative nonlinear oscillators is investigated. The torsion number describing the twisting behaviour of the flow turns out to be a suitable invariant for the classification of local bifurcations and resonances in those systems. Furthermore, the notions of winding number and resonance are generalized to arbitrary one-dimensional dissipative oscillators.

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Semi-supervised learning using multiple one-dimensional embedding based adaptive interpolation

International Journal of Wavelets Multiresolution and Information Processing ◽

10.1142/s0219691316400026 ◽

2016 ◽

Vol 14 (02) ◽

pp. 1640002 ◽

Cited By ~ 9

Author(s):

Jianzhong Wang

Keyword(s):

Supervised Learning ◽

High Dimensional ◽

One Dimensional ◽

Large Size ◽

Adaptive Interpolation

We propose a novel semi-supervised learning (SSL) scheme using adaptive interpolation on multiple one-dimensional (1D) embedded data. For a given high-dimensional dataset, we smoothly map it onto several different 1D sequences, so that the labeled subset is converted to a 1D subset for each of these sequences. Applying the cubic interpolation of the labeled subset, we obtain a subset of unlabeled points, which are assigned to the same label in all interpolations. Selecting a proportion of these points at random and adding them to the current labeled subset, we build a larger labeled subset for the next interpolation. Repeating the embedding and interpolation, we enlarge the labeled subset gradually, and finally reach a labeled set with a reasonable large size, based on which the final classifier is constructed. We explore the use of the proposed scheme in the classification of handwritten digits and show promising results.

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Topological classification of periodic orbits in the Kuramoto–Sivashinsky equation

Modern Physics Letters B ◽

10.1142/s0217984918501555 ◽

2018 ◽

Vol 32 (15) ◽

pp. 1850155 ◽

Cited By ~ 6

Author(s):

Chengwei Dong

Keyword(s):

Nonlinear System ◽

Variational Method ◽

Periodic Orbits ◽

Symbolic Dynamics ◽

Chaotic Systems ◽

Building Blocks ◽

Topological Classification ◽

One Dimensional ◽

Sivashinsky Equation

In this paper, we systematically research periodic orbits of the Kuramoto–Sivashinsky equation (KSe). In order to overcome the difficulties in the establishment of one-dimensional symbolic dynamics in the nonlinear system, two basic periodic orbits can be used as basic building blocks to initialize cycle searching, and we use the variational method to numerically determine all the periodic orbits under parameter [Formula: see text] = 0.02991. The symbolic dynamics based on trajectory topology are very successful for classifying all short periodic orbits in the KSe. The current research can be conveniently adapted to the identification and classification of periodic orbits in other chaotic systems.

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Automatic Texture Based Classification of the Dynamics of One-Dimensional Binary Cellular Automata

International Journal of Natural Computing Research ◽

10.4018/ijncr.2019100104 ◽

2019 ◽

Vol 8 (4) ◽

pp. 41-61

Author(s):

Marcelo Arbori Nogueira ◽

Pedro Paulo Balbi de Oliveira

Keyword(s):

Cellular Automata ◽

Dynamic Behavior ◽

Temporal Evolution ◽

Computational Cost ◽

Great Variability ◽

Texture Descriptor ◽

One Dimensional ◽

Binary Images ◽

Elementary Cellular Automata

Cellular automata present great variability in their temporal evolutions due to the number of rules and initial configurations. The possibility of automatically classifying its dynamic behavior would be of great value when studying properties of its dynamics. By counting on elementary cellular automata, and considering its temporal evolution as binary images, the authors created a texture descriptor of the images - based on the neighborhood configurations of the cells in temporal evolutions - so that it could be associated to each dynamic behavior class, following the scheme of Wolfram's classic classification. It was then possible to predict the class of rules of a temporal evolution of an elementary rule in a more effective way than others in the literature in terms of precision and computational cost. By applying the classifier to the larger neighborhood space containing 4 cells, accuracy decreased to just over 70%. However, the classifier is still able to provide some information about the dynamics of an unknown larger space with reduced computational cost.

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Theoretical Justification for the One-Dimensional Geolocation Method

E3S Web of Conferences ◽

10.1051/e3sconf/202017401009 ◽

2020 ◽

Vol 174 ◽

pp. 01009

Author(s):

Dmitry Sirota ◽

Sergei Prostov ◽

Egor Rasumov ◽

Nikolay Loskutov

Keyword(s):

Ground Penetrating Radar ◽

Electromagnetic Signal ◽

Numerical Implementation ◽

Problem Statement ◽

Theoretical Justification ◽

Scanning Method ◽

One Dimensional ◽

Equations Of Electrodynamics ◽

The One ◽

Ground Penetrating

In this article we will discus the usage feature of the ground penetrating radar (GPR) for the solution underground geotechnologies problems. One of the main problems by the usage GPR method is that the surface of the workings is shielded by metal elements of support (frames, fittings, tightening and other). In this article we suggest to use one- dimensional GPR-scanning method instead of traditional GPR-profiling method. We assume that the scanning will be performed on the development contour in areas free from shielding. For justification one- dimensional GPR method we propose a mathematical model for the propagation of an electromagnetic signal in an inhomogeneous medium based on classical equations of electrodynamics. We also present a numerical implementation of it, which confirms the validity of the accepted problem statement.

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