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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Covering families of triangles by convex sets
 Krajči, Samuel ; Kynčl, Jan (advisor) ; Soukup, Jan (referee)
A convex universal cover of a family M of sets in the plane is a convex set that contains a congruent copy of every element of M. Park and Cheong conjecture that for every family of triangles with bounded diameter there exists a triangle that is a smallest universal cover of this family. We prove this conjecture for every family of all triangles with the lengths of their two sides fixed, every family of all triangles with the length of a side and the size α of the opposite angle fixed (where α is from an interval (0, λ]∩[3π/7, π) with λ being approximately 0.396π), every finite subfamily of a family of all triangles with the length of a side and the size α of the opposite angle fixed (where α ≥ π/2). 1
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Webovské vyhledávání s proměnlivým uživatelským modelem
 Gurský, P. ; Horváth, T. ; Jirásek, J. ; Krajči, S. ; Novotný, R. ; Vaneková, M. ; Vojtáš, Peter
We propose a middleware system for web search adaptable to user preference querying as well as user independent fulltext search. We cover also induction of user preferences and effective query answering. A prototype of a new annotation tool is described. The system employs a formal model of user preferences based on fuzzy logic. Experimental implementation of this system integrates several independent software tools.
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1 Krajči, Samuel
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