Generating query-answering plans for information gathering agents requires to translate a user query, formulated in terms of a set of virtual relations, to a query that uses relations that are actually stored in information sources. Previous solutions to the translation problem produced sets of conjunctive plans, and were therefore limited in their ability to handle information sources with bin...

Abstract In this paper, we address the problem of constructing $$C^2$$ C 2 cubic spline functions on a given arbitrary triangulation $${\mathcal {T}}$$ T . To end, endow every triangle with Wang–Shi macro-structure. The space such refined has stable dim...

The intersection between 3D objects plays a prominent role in spatial reasoning, geometric modeling and computer vision. Detection of possible intersection between objects can be based on the objects’ triangulated boundaries, leading to computing triangle-triangle intersection. Traditionally there are separate algorithms for cross intersection and coplanar intersection. There is no single algor...

The aim of this study is to obtain information about students' definitions, mistakes, misconceptions, and van Hiele geometry thinking levels by using the definitions 4th grade students for geometric shapes rectangle, square, isosceles triangle, equilateral scalene triangle. was carried out with 156 primary school students. In study, case design, one qualitative methods, used. Students were aske...

Quantum query complexity is a model of quantum computation, in which the cost of computing a function is measured by the number of queries that are made to the input given as a black-box. In this model, it was exhibited in the early stage of quantum computing research that there exist quantum algorithms superior to the classical counterparts, such as Deutsch and Jozsa’s algorithm, Simon and Sho...

The question of extendability of the action of a cyclic group of automorphisms of a compact Riemann surface is considered. Particular attention is paid to those cases corresponding to Singerman's list of Fuchsian groups which are not nitely-maximal, and more generally to cases involving a Fuchsian triangle group. The results provide partial answers to the question of which cyclic groups are the...

The LEP investigation of the B 0 d and B 0 s oscillations and of the Cabibbo-Kobayashi-Maskawa matrix element |V ub | improve the constraints on the other elements of this matrix. From a fit to the experimental data and the theory calculations it is possible to determine the vertex of the unitarity triangle as:

Multicomponent, self-assembled rhomboidal constructs are reported, in which bis-terpyridines possessing 120° or 60° directionality and Zn(II) or Cd(II) in a stoichiometric ratio (1 : 1 : 2) initially form rhomboid and triangle mixtures; whereas, a tris-terpyridine reacts with the 60°-based bis-ligand and metal to quantitatively form a heteroleptic, centrally fused, rhomboidal structure.

Let AA A A be a triangle with vertices at A1, A2 and A3. The process of "bisecting AA A A is defined as follows. We first locate the longest edge, A'Ai+i of AA 1A2A3 where A'+3 = Al, set D = (A' + Ai+l)/2, and then define two new triangles, AA'DAi+2 and ADAi+1Ai+2. Let Aqq be a given triangle, with smallest interior angle a > 0. Bisect AQ0 into two new triangles, Aj., í = 1, 2. Next, bisect eac...