On one particular example of PSN pencils
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F14%3A43923912" target="_blank" >RIV/49777513:23520/14:43923912 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On one particular example of PSN pencils
Original language description
When the rational-offset (or Pythagorean-normal, shortly PN) proper-ty~is not satisfied globally but only along some special curves we speak about curves providing Pythagorean surface normals (shortly PSN curves). The PSN curves can occur also on non-PNsurfaces, and conversely on PN surfaces one can find curves which are non-PSN. A special role is played by rational surfaces possessing pencils of PSN curves. As special cases the ruled surfaces and ringed surfaces (both very imported classes of surfaces applicable in technical practise) can be studied from this point of view. In this short contribution, we show how the theory of PSN pencils can be used also for answering questions which were not answered before.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/ED1.1.00%2F02.0090" target="_blank" >ED1.1.00/02.0090: NTIS - New Technologies for Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů