Horospherical means and uniform distribution of curves of constant geodesic curvature

1999 ◽  
Vol 231 (4) ◽  
pp. 655-677 ◽  
Author(s):  
Leon Karp ◽  
Norbert Peyerimhoff
Keyword(s):  
Uniform Distribution ◽  
Geodesic Curvature ◽  
Constant Geodesic Curvature

scholarly journals Submersions and curves of constant geodesic curvature

2019 ◽  
Vol 292 (9) ◽  
pp. 1956-1971
Author(s):  
M. Godoy Molina ◽  
E. Grong ◽  
I. Markina
Keyword(s):  
Geodesic Curvature ◽  
Constant Geodesic Curvature

scholarly journals On Pseudospherical Smarandache Curves in Minkowski 3-Space

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Esra Betul Koc Ozturk ◽  
Ufuk Ozturk ◽  
Kazim Ilarslan ◽  
Emilija Nešović
Keyword(s):  
Geodesic Curvature ◽  
Spacelike Curve ◽  
Constant Geodesic Curvature ◽  
Straight Lines

In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space. We obtain the geodesic curvature and the expressions for the Sabban frame’s vectors of spacelike and timelike pseudospherical Smarandache curves. We also prove that if the pseudospherical null straight lines are the Smarandache curves of a spacelike pseudospherical curveα, thenαhas constant geodesic curvature. Finally, we give some examples of pseudospherical Smarandache curves.

scholarly journals Min-max theory for networks of constant geodesic curvature

2020 ◽  
Vol 361 ◽  
pp. 106941 ◽  
Author(s):  
Xin Zhou ◽  
Jonathan J. Zhu
Keyword(s):  
Geodesic Curvature ◽  
Constant Geodesic Curvature

Levels taxation countries the EU and Ukraine’s

2019 ◽  
pp. 131-160
Author(s):  
Helena Borzenko ◽  
Tamara Panfilova ◽  
Mikhail Litvin
Keyword(s):  
European Union ◽  
Uniform Distribution ◽  
Tax Burden ◽  
Tax System ◽  
Tax Legislation ◽  
Improvement Process ◽  
Tax Systems ◽  
Historical Comparative ◽  
Different Levels ◽  
The Eu

Purpose articles rassm and experience and benefits systems taxation countries European Union, manifestation iti the main limitations domestic taxlegislation and wired STI their comparisons. In general iti ways the provisiontax reporting countries Eurozone in the appropriate organs, dove STI need theintroduction Ukraine electronic methods receiving and processing such reports.define iti key directions reforming domestic tax legislation. Methodology research is to use aggregate methods: dialectical, statistical, historical, comparative. Scientific novelty is to are provided recommendations for improvement ofefficiency systems taxation of our states in international ratings characterizingtax institutions country. Therefore, despite some problems in legislation heldcomparative study systems taxation EU and Ukraine. Conclucions Coming fromof this, the main directions reforming tax systems Ukraine, in our opinion,today should become: improvement process administration, reduce scales evasiontaxes, provision more uniform distribution tax burden between taxpayers, themaximum cooperation tax bodies different levels as well adjustment systemselectronic interactions tax authorities and payers, tax system must contain ascan less unfounded benefits, consistent with the general by politics pricing.

Statistical Justification of Pearson's Criterion for Testing a Complex Hypothesis on the Uniform Distribution

2018 ◽  
pp. 45-53
Author(s):  
T. V. Oblakova
Keyword(s):  
Uniform Distribution ◽  
Degrees Of Freedom ◽  
Likelihood Function ◽  
Random Number Generator ◽  
Maximum Likelihood Estimates ◽  
Chi Square ◽  
Main Hypothesis ◽  
Pearson Criterion ◽  
Complex Hypothesis ◽  
Uniform Law

The paper is studying the justification of the Pearson criterion for checking the hypothesis on the uniform distribution of the general totality. If the distribution parameters are unknown, then estimates of the theoretical frequencies are used [1, 2, 3]. In this case the quantile of the chi-square distribution with the number of degrees of freedom, reduced by the number of parameters evaluated, is used to determine the upper threshold of the main hypothesis acceptance [7]. However, in the case of a uniform law, the application of Pearson's criterion does not extend to complex hypotheses, since the likelihood function does not allow differentiation with respect to parameters, which is used in the proof of the theorem mentioned [7, 10, 11].A statistical experiment is proposed in order to study the distribution of Pearson statistics for samples from a uniform law. The essence of the experiment is that at first a statistically significant number of one-type samples from a given uniform distribution is modeled, then for each sample Pearson statistics are calculated, and then the law of distribution of the totality of these statistics is studied. Modeling and processing of samples were performed in the Mathcad 15 package using the built-in random number generator and array processing facilities.In all the experiments carried out, the hypothesis that the Pearson statistics conform to the chi-square law was unambiguously accepted (confidence level 0.95). It is also statistically proved that the number of degrees of freedom in the case of a complex hypothesis need not be corrected. That is, the maximum likelihood estimates of the uniform law parameters implicitly used in calculating Pearson statistics do not affect the number of degrees of freedom, which is thus determined by the number of grouping intervals only.

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