Common transversals and tangents to two lines and two quadrics in P^3

We solve the following geometric problem, which arises in several three-dimensional applications in computational geometry: For which arrangements of two lines and two spheres in R^3 are there infinitely many lines simultaneously transversal to the two lines and tangent to the two spheres? We also treat a generalization of this problem to projective quadrics: Replacing the spheres in R^3 by quadrics in projective space P^3, and fixing the lines and one general quadric, we give the following complete geometric description of the set of (second) quadrics for which the 2 lines and 2 quadrics have infinitely many transversals and tangents: In the nine-dimensional projective space P^9 of quadrics, this is a curve of degree 24 consisting of 12 plane conics, a remarkably reducible variety.Comment: 26 pages, 9 .eps figures, web page with more pictures and and archive of computations: http://www.math.umass.edu/~sottile/pages/2l2s

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DiplomamunkaM

Individual Professional Practice in the Company

Cílem této bakalářské práce je popsat průběh individuální odborné praxe, kterou jsem absolvoval ve společnosti EDIacademy s.r.o. První část práce se zabývá představením společnosti, popisem mého pracovního zařazení, obecným představením aplikace a popisem použitých technologií. Další část práce tvoří popis mých pracovních úkolů společně s jejich řešením, které jsem použil. V závěru práce jsou popsány zkušenosti získané během studia i praxe a zhodnocení dosažených výsledků.The aim of this bachelor thesis is to describe the process of individual professional practice, which I attended in the company named EDIacademy s.r.o. First part of this work deals with presentation of company, description of my work position, general presentation of application and description of used technologies. Next part of work consists of description of my work tasks along with their solutions that I used. At the end of this work are described experiences gained during study and practice and evaluation of achieved results.460 - Katedra informatikydobř

The Open Source Tagger HunPoS for Swedish

Proceedings of the 17th Nordic Conference of Computational Linguistics NODALIDA 2009. Editors: Kristiina Jokinen and Eckhard Bick. NEALT Proceedings Series, Vol. 4 (2009), 239-241. © 2009 The editors and contributors. Published by Northern European Association for Language Technology (NEALT) http://omilia.uio.no/nealt . Electronically published at Tartu University Library (Estonia) http://hdl.handle.net/10062/9206

GROUND OF SUN-DRIED BRICK CONSTRUCTION

In my dissertation, for Students´ Scientific Conference TDK in 2002, I examined the grounds of sun-dried brick construction with the help of University Professor Mária Széll, taking into consideration the lesson of high flood events recently, taught by River Tisza above all, but my statements can be extended to other regions endangered by floods in Hungary

Renovation questions of industrialized (without panel) buildings

The paper presents the discussion of block-building and cast-in-situ wall building technologies. The author analyses their evolution, their structures as well as possible renovation methods of multi-storey blocks constructed with such technologies