scholarly journals Classification of j-maximal spacelike affine translation surfaces in the Minkovski space i31 with density

2019 ◽  
Vol 15 (3) ◽  
pp. 36
Author(s):  
Tran Le Nam
Keyword(s):  
Minkowski Space ◽  
Translation Surface ◽  
Maximal Surface ◽  
Translation Surfaces ◽  
Bernstein Theorem ◽  
Lagrange’S Equation ◽  
Affine Translation ◽  
Two Parameters

An affine translation surface is a graph of a function   introduced by Liu and Yu in 2013. The article considers the spacelike affine translation surfaces in the Minkowski space  with density  establishing the Lagrange’s equation type for -maximal surface, classifying -maximal spacelike affine translation surfaces. The result obtains two parameters and . From that, the Calabi – Bernstein theorem in this space is not true because two function  and  are defined on  

ON THE GAUSSIAN CURVATURE OF MAXIMAL SURFACES AND THE CALABI–BERNSTEIN THEOREM

2001 ◽  
Vol 33 (4) ◽  
pp. 454-458 ◽  
Author(s):  
LUIS J. ALÍAS ◽  
BENNETT PALMER
Keyword(s):  
Minkowski Space ◽  
Upper Bound ◽  
Gaussian Curvature ◽  
Total Curvature ◽  
Local Geometry ◽  
Maximal Surface ◽  
Bernstein Theorem ◽  
New Approach ◽  
Maximal Surfaces

In this paper, a new approach to the Calabi–Bernstein theorem on maximal surfaces in the Lorentz– Minkowski space L3 is introduced. The approach is based on an upper bound for the total curvature of geodesic discs in a maximal surface in L3, involving the local geometry of the surface and its hyperbolic image. As an application of this, a new proof of the Calabi–Bernstein theorem is provided.

scholarly journals Dual translation surfaces in the three dimensional simply isotropic space $\mathbb{I}_{3}^{1}$

2018 ◽  
Vol 49 (1) ◽  
pp. 67-77
Author(s):  
Mohamd Saleem Lone ◽  
Murat Kemal Karacan
Keyword(s):  
Mean Curvature ◽  
Three Dimensional ◽  
Translation Surface ◽  
Translation Surfaces ◽  
Isotropic Space ◽  
Simply Isotropic Space ◽  
Dual Translation

In this paper, we study the dual translation surfaces in three dimensional simply isotropic space. We give classification of dual translation surface with constant dual isotropic mean curvature or constant dual isotropic Guassian curvature.

scholarly journals LANDAU EQUATIONS AND ASYMPTOTIC OPERATION

1999 ◽  
Vol 14 (05) ◽  
pp. 683-715 ◽  
Author(s):  
F. V. TKACHOV
Keyword(s):  
Minkowski Space ◽  
Feynman Diagrams ◽  
Simple Derivation ◽  
Wave Fronts ◽  
Theoretic Technique ◽  
Singular Wave

The pinched/nonpinched classification of intersections of causal singularities of propagators in Minkowski space is reconsidered in the context of the theory of asymptotic operation as a first step towards extension of the latter to non-Euclidean asymptotic regimes. A highly visual distribution-theoretic technique of singular wave fronts is tailored to the needs of the theory of Feynman diagrams. Besides a simple derivation of the usual Landau equations in the case of the conventional singularities, the technique naturally extends to other types of singularities, for example due to linear denominators in non-covariant gauges, etc. As another application, the results of Euclidean asymptotic operation are extended to a class of quasi-Euclidean asymptotic regimes in Minkowski space.

Weingarten Affine Translation Surfaces in Euclidean 3-Space

2017 ◽  
Vol 72 (4) ◽  
pp. 1839-1848 ◽  
Author(s):  
Seoung Dal Jung ◽  
Huili Liu ◽  
Yixuan Liu
Keyword(s):  
Translation Surfaces ◽  
Affine Translation

scholarly journals Performance evaluation of different classification techniques using different datasets

2019 ◽  
Vol 9 (5) ◽  
pp. 3584
Author(s):  
Abdulkadir Özdemir ◽  
Uğur Yavuz ◽  
Fares Abdulhafidh Dael
Keyword(s):  
Data Mining ◽  
Business Intelligence ◽  
Multilayer Perceptron ◽  
Data Classification ◽  
Major Effect ◽  
Classification Techniques ◽  
The Difference ◽  
Two Parameters ◽  
Accuracy Performance

<span>Nowadays data mining become one of the technologies that paly major effect on business intelligence. However, to be able to use the data mining outcome the user should go through many process such as classified data. Classification of data is processing data and organize them in specific categorize to be use in most effective and efficient use. In data mining one technique is not applicable to be applied to all the datasets. This paper showing the difference result of applying different techniques on the same data. This paper evaluates the performance of different classification techniques using different datasets. In this study four data classification techniques have chosen. They are as follow, BayesNet, NaiveBayes, Multilayer perceptron and J48. The selected data classification techniques performance tested under two parameters, the time taken to build the model of the dataset and the percentage of accuracy to classify the dataset in the correct classification. The experiments are carried out using Weka 3.8 software. The results in the paper demonstrate that the efficiency of Multilayer Perceptron classifier in overall the best accuracy performance to classify the instances, and NaiveBayes classifiers were the worst outcome of accuracy to classifying the instance for each dataset.</span>

scholarly journals Dielectrophoretic classification of fibres: principles and application to glass fibres suspended in air

2019 ◽  
Vol 213 ◽  
pp. 02053
Author(s):  
Frantisek Lizal ◽  
Milan Maly ◽  
Jakub Elcner ◽  
Arpad Farkas ◽  
Ondrej Pech ◽  
...  
Keyword(s):  
Electric Field ◽  
High Speed ◽  
Deposition Velocity ◽  
Uniform Electric Field ◽  
Electrical Mobility ◽  
Mobility Separation ◽  
Neutral Particles ◽  
Naturally Occurring ◽  
Two Parameters

Particles exposed to an electric field experience forces that influence their movement. This effect can be used for filtration of air, or for size classification of aerosols. The motion of charged particles in a non-uniform electric field is called electrophoresis. Two processes are involved in this phenomenon: 1) charging of particles and 2) electrical mobility separation. If fibres are exposed to electrophoresis, they are separated on the basis of two parameters: diameter and length. Regrettably, as naturally occurring fibres are polydisperse both in diameter and length, the electrophoresis is not very efficient in length classification. In contrast, dielectrophoresis is the motion of electrically neutral particles in a non-uniform electric field due to the induced charge separation within the particles. As deposition velocity of fibres induced by dielectrophoretic force strongly depends on length and only weakly on diameter, it can be used for efficient length classification. Principles of length classification of conducting and non-conducting fibres are presented together with design of a fibre classifier. Lastly, images of motion of fibres recorded by high-speed camera are depicted.

scholarly journals Polynomial affine translation surfaces in Euclidean 3-space

2017 ◽  
Vol 37 (3) ◽  
pp. 195
Author(s):  
Hülya Gün Bozok ◽  
Mahmut Ergüt
Keyword(s):  
Constant Curvature ◽  
Existence Results ◽  
Translation Surfaces ◽  
Affine Translation

In this paper we study the polynomial affine translation surfaces in E3with constant curvature. We derive some non-existence results for suchsurfaces. Several examples are also given by figures.

scholarly journals Some New Characterizations Of Parallel Translation Surface According To Bishop Frame With Timelike M1 In Minkowski 3-Space

2018 ◽  
Vol 22 ◽  
pp. 01030
Author(s):  
Gülden Altay Suroǧlu
Keyword(s):  
Translation Surface ◽  
Parallel Translation ◽  
Translation Surfaces ◽  
Bishop Frame

In this paper we consider parallel translation surfaces, which are generated by spacelike curves, according to Bishop frame with timelike M1 in Minkowski 3- space. Then, we obtain some characterizations of these surface.

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