Classification of Brodatz Dataset Samples (36-64) Through Second-Order Statistical Parameters (B)

2020 ◽  
Author(s):  
Amit Shakya ◽  
Ayushman Ramola ◽  
Prag Mittal ◽  
Anurag Vidyarthi ◽  
Rishi Prakash
2013 ◽  
Vol 22 (05) ◽  
pp. 1350017 ◽  
Author(s):  
G. FLOWERS

While Vassiliev invariants have proved to be a useful tool in the classification of knots, they are frequently defined through knot diagrams, and fail to illuminate any significant geometric properties the knots themselves may possess. Here, we provide a geometric interpretation of the second-order Vassiliev invariant by examining five-point cocircularities of knots, extending some of the results obtained in [R. Budney, J. Conant, K. P. Scannell and D. Sinha, New perspectives on self-linking, Adv. Math. 191(1) (2005) 78–113]. Additionally, an analysis on the behavior of other cocircularities on knots is given.


2000 ◽  
Vol 41 (1) ◽  
pp. 480-504 ◽  
Author(s):  
Vladimir Dorodnitsyn ◽  
Roman Kozlov ◽  
Pavel Winternitz

2008 ◽  
Vol 41 (2) ◽  
pp. 176-181
Author(s):  
M. I. Grigor’ev ◽  
V. N. Malozemov ◽  
A. N. Sergeev

2017 ◽  
Vol 168 (1) ◽  
pp. 68-72
Author(s):  
Piotr BOGUŚ ◽  
Mateusz CIESZYŃSKI ◽  
Jerzy MERKISZ

The paper presents a method of classification of locomotive Diesel engine states basing on vibration signals taken from an engine body and using chosen statistical parameters calculated for the original signal and it wavelet multiresolution components. The researches presented in the paper concern estimation of an engine states before and after a general repair. The target application of the presented researches is an on-line diagnostic system which can complement standard OBD systems. To this purpose the applied methods should not base on complex analysis of some spectral, time-frequency or scalogram plots but rather on choosing single diagnostic parameters which are suitable for the fast on-line diagnostic. The results have showed the significant difference in distinguishing of engine work before and after a general repair using some chosen statistical parameters applied to vibration signals.


Author(s):  
Y. Yatsenko ◽  
O. Shevchenko ◽  
S. Snizhko

The purpose of the work is to study the current level and the main trends of atmospheric air pollution of the cities of Ukraine with nitrogen dioxide to identify the most polluted cities, their ranking to determine the list of cities for the priority implementation of environmental measures. For the purpose of the study, the information of the Central Geophysical Observatory on the average annual concentrations of nitrogen dioxide in the air of 51 cities of Ukraine for the period 1998-2015 was used. The study used the classical methods of applied mathematical statistics (estimation of statistical parameters of distribution of concentrations, construction of time trends on the method of least squares, graphical methods of visualization of levels of air pollution), which were implemented using the available programs "MS-Excell" and "Statistica-8.0". The classification of cities according to the level of MPC exceeds average annual concentrations of nitrogen dioxide. 3 groups of cities were allocated: 1 group (21 cities) permissible level of pollution (<1 MPC); 2 group (27 cities) – increased level of pollution (1-2 MPC); group 3 (3 cities) – high level of pollution (2-3 MPC). It has been established that in the air of 21 cities (41% of all cities where nitrogen dioxide is monitored in the atmosphere) of 51 cities, there is an acceptable level of air pollution. In the remaining cities (59%) – there is a stable excess of MPC. In 23 cities, even the minimum concentrations of NO2 exceed the permissible standards. The study of long-term dynamics of nitrogen dioxide in air has shown that the increase of concentrations of this pollutant for 1998-2015 is observed in 28 cities (55%) of 51. The most significant increase in concentrations in the air occurred in Kherson, Lutsk, Donetsk and Gorishni Plavni. In 13 cities reduction of concentrations was recorded, and in 10 cities the content of this pollutant in the air practically does not change.


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