Effective Estimates for the Distribution of Values of Euler Products

2005 ◽  
Vol 145 (2) ◽  
pp. 97-106 ◽  
Author(s):  
Ernesto Girondo ◽  
Jörn Steuding
Keyword(s):  
Distribution Of Values ◽  
Euler Products

Neural network processing of radar scanning data array

2021 ◽  
Author(s):  
V.E. Dmitriyev ◽  
D.V. Popov ◽  
V.A. Shakhnov
Keyword(s):  
Spatial Perception ◽  
Digital Processing ◽  
Radar Data ◽  
Information Value ◽  
Data Array ◽  
Additional Information ◽  
Distribution Of Values ◽  
The Difference ◽  
Radar Data Processing ◽  
Made In

This article deals with the digital processing of a matrix radar image. The information received from the radar scanner needs to be transformed to enable visual perception. The article describes the main methods of digital processing of matrix data, presents the images transformed by them. The aim of the article was the development of a radar data processing algorithm that identifies the contours and edges of examined objects. The authors propose an algorithm for isolating the geometric structure of the scanned area. The difference between the processing method and the known analogues is based on the nature of the change in the values of the array being processed and consists in the double operation of extracting the gradient of the distribution of values. The software implementation of the algorithm is made in C++ using methods from an open library of computer vision. The efficiency of the algorithm was estimated based on comparison with the algorithms for determining edges based on linear filtering and neural networks. The results of the work can be used to create software for mobile short-range radar devices. Imaging from object boundaries and their edges provides spatial perception of the image by the operator, and free areas are available for rendering additional information. This solution allows you to combine scanning devices and thereby increase the information value of the result.

Analytic behavior of some Euler products

2021 ◽  
Vol 51 (2) ◽  
Author(s):  
Jinho Han ◽  
Haseo Ki ◽  
Donghoon Park
Keyword(s):  
Analytic Behavior ◽  
Euler Products

Distribution of values of classic singular Cantor function of random argument

2018 ◽  
Vol 26 (4) ◽  
pp. 193-200 ◽  
Author(s):  
Mykola Pratsiovytyi ◽  
Iryna Lysenko ◽  
Oksana Voitovska
Keyword(s):  
Random Variable ◽  
Absolutely Continuous ◽  
Cantor Function ◽  
Distribution Of Values

Abstract Let X be a random variable with independent ternary digits and let {y=F(x)} be a classic singular Cantor function. For the distribution of the random variable {Y=F(X)} , the Lebesgue structure (i.e., the content of discrete, absolutely continuous and singular components), the structure of its point and the continuous spectra are exhaustively studied.

Some observations on the distribution of values of continued fractions

1989 ◽  
Vol 55 (6) ◽  
pp. 711-733
Author(s):  
L. Jacobsen ◽  
W. J. Thron ◽  
H. Waadeland
Keyword(s):  
Continued Fractions ◽  
Distribution Of Values

scholarly journals Ramanujan identities and Euler products for a type of Dirichlet series

2006 ◽  
Vol 122 (4) ◽  
pp. 349-393 ◽  
Author(s):  
Zhi-Hong Sun ◽  
Kenneth S. Williams
Keyword(s):  
Dirichlet Series ◽  
Euler Products

scholarly journals Considerations on the caliber of the internal iliac vein

2015 ◽  
Vol 21 (1) ◽  
pp. 12-16 ◽  
Author(s):  
Oana Popa ◽  
P. Bordei ◽  
C. Ionescu ◽  
D.M. Iliescu
Keyword(s):  
Iliac Vein ◽  
Statistical Distribution ◽  
Common Iliac Vein ◽  
Internal Iliac Vein ◽  
Distribution Of Values ◽  
Internal Iliac ◽  
The Common ◽  
The Right

Abstract The diameter at the origin of the internal iliac vein was found between 4.7 to 9.9 mm; for the right internal iliac vein between 4.7 to 9.7 mm; the statistical distribution groups value in ascending order being as follows: 4.7 to 5.5 mm: 4 cases (22.22% of cases); 6.9 to 7.8 mm: 6 cases (33.33% of cases); 8.4-8.8 mm: 4 cases (22.22% of cases); 9.1 to 9.7 mm: 4 cases (22.22% of cases). The diameter at the origin of the left internal iliac vein was between 4.8 to 9.9 mm, while the distribution statistics on groups of values, in ascending order, being as follows: 4.8-5.2 mm: 4 cases (22.22 % of cases); 6.8-7.1 mm: 8 cases (44.44% of cases); 8.3 to 9.9 mm: 6 cases (33.33% of cases). The diameter at the end of the internal iliac vein was between 5.9 to 10.2 mm; the diameter at the end of the right internal iliac vein was between 6.1 to 10.2 mm, the statistical distribution of values groups in ascending order being follows: 6.1 to 7.5 mm: 6 cases (33.33% of cases); 8.4 to 8.7 mm: 8 cases (44.44% of cases); 9.3 to 10.2 mm: 4 cases (22.22% of cases). The diameter at the end of the left internal iliac vein was between 5.9 to 9.9 mm, while the distribution statistics on groups of values in ascending order being as follows: 5.9 to 6.2 mm: 4 cases (22.22 % of cases); 7 to 7.6 mm: 3 cases (16.67% of cases); 8.3-8.4 mm: 5 cases (27.28% of cases); 9.1 to 9.9 mm: 6 cases (33.33% of cases). Comparing the common iliac vein caliber of the two, right and left, we found that in 10 cases (55.56% of cases), the right internal iliac vein has a greater diameter than the left one by 0.3 mm. In 8 cases (44.44% of cases), the left internal iliac vein has a larger diameter than the right one with 0.1-0.6 mm; between the two values there is a difference of 0.5 mm

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