Systems of sets with multiplicative asymptotic density

Jahoda, Pavel; Pěluchová, Monika

doi:10.2478/s12175-008-0083-2

Mathematica Slovaca

2008

DOI: 10.2478/s12175-008-0083-2

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Systems of sets with multiplicative asymptotic density

Pavel Jahoda

Monika Pěluchová

Abstract: ABSTRACT. The authors define a notion of system of sets with multiplicative asymptotic density in this paper. A criterion and one necessary condition for a given system A ito be a system with multiplicative asymptotic density is given. Properties of certain special types of systems of sets with multiplicative asymptotic density are treated.

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Cited by 2 publications

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On Systems of Independent Sets

Jahoda¹,

Jahodová²

2015

Mathematica Slovaca

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The main aim of the work is to assess physical parameters of forest woodchips and their impact on the prices achieved by the supplier in transactions with a power plant. During fragmentation of logging residue, high content of green matter and contaminants negatively impacts the quality parameters that serve as basis for settlements. The analysis concerns data on the main parameters -water content, fuel value, sulphur and ash content -from 252 days of deliveries of forest chips to a power plant. The deliveries were realised from forested areas on an average about 340 km from the plant. Average water content and the resultant fuel value of forest chips was within 27-47% and 8.7-12.9 GJ×Mg −1 (appropriately), respectively. They depend on the month in which they are delivered to the power plant. The threshold values for the above-mentioned parameters are set by the plant at a real level and the suppliers have no problems with meeting them. The parameter that is most frequently exceeded is ash content (11.5% of cases). The settlement system does not differentiate on the basis of the transport distance but gives possibility to lower the settlement price when the quality parameters are not met but provides no reward for deliveries with parameters better than the average ones. On the basis of results obtained, it was calculated that average annual settlement price is lower than the contract price by about 0.20 PLN×GJ −1 , which in case of the analysed company may translate into an average daily loss of about 700 PLN.

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On Systems of Independent Sets

Jahoda¹,

Jahodová²

2015

Mathematica Slovaca

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Systems of conditionally independent sets

Jahoda

Jahodová

2017

Mathematica Slovaca

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Systems of sets with multiplicative asymptotic density

Cited by 2 publications

References 5 publications

On Systems of Independent Sets

On Systems of Independent Sets

Systems of conditionally independent sets

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