We show that for a rational surface the Gram determinant of its tangent space is a perfect square if and only if the Gram determinant of its normal space is a perfect square. Consequently the polynomial surfaces of a given degree with polynomial area element can be constructed from the prescribed normal fields solving a system of linear equations. The degree of the constructed surface depending on the degree and the properties of the prescribed normal field is investigated. We use the presented approach to interpolate a network of points and associated normals with piecewise polynomial surfaces with polynomial area element. The gauss map at the inflection point is not regular and in the neighborhood is typically not injective. The support function is thus not regular and typically multivalued.

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The level of occupational health and safety is one of the determinants of the company's efficiency. The article assessed the quality of general initial training general training and initial training at the workplace on-the-job training carried out in selected business entities related to the hard coal mining industry. Problem included in the above trainings were interpreted as a criterion function within a multi-criteria analysis based on the Analytic Hierarchy Process AHP method.

Application of the AHP method allowed to perform a diagnostic comparative assessment of objects business entities , both objects and accepted assessment criteria were compared in pairs with each other the evaluator's preferences subjectivity of assessments are treated in the Analytic Hierarchy Process as a natural phenomenon.

Konstytucja Rzeczpospolitej Polskiej z dnia 2 kwietnia r. Brodny, J. Determination of the zone endangered by methane explosion in goaf with caving of operating longwalls. Conference proceedings. Book 1, Science and technologies in geology. The impact of the flow volume flow ventilation to the location of the special hazard spontaneous fire zone in goaf with caving of operating longwalls.

Anonymousa Analytical hierarchy process AHP. Saaty T. A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology, 15, pp. Saaty, T. Fundamentals of the analytic hierarchy process. In: Schmoldt D. Kangas, G. Mendoza and M. Pesonen, ed. Netherlands: Kluwer Academic Publishers, pp. Analytic Hierarchy Process, Encyclopedia of Biostatistics. Home About us Subject Areas Contacts. Advanced Search Help. Sciendo degruyter. Sign In Create Profile.

English Deutsch. Access Metrics. Keywords: safety ; training ; multi-criteria analysis. Export References. Multidisciplinary Aspects of Production Engineering. Terms Privacy Latest News. Share Share.


Numerical solution of the Kiessl model

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Geometrie Trainer German 1.10 Serial Number Keygen for All Versions

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Deskriptivni Geometrie Promitani Parallelniho


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