We present a general technique for dynamizing certain problems posed on point sets in Euclidean space for any xed dimension d. This technique applies to a large class of structurally similar algorithms, presented previously by the authors , that make use of the well-separated pair decomposition. We prove eecient worst-case complexity for maintaining such computations under point insertions and ...

The square root function has a unique positive ¿xed point. This function has the following properties: it is strictly increasing and strictly concave, with sEf ' f, sE@ : @ for @ , and sEK K for K : . It is shown that any function from U to U satisfying these properties has a unique positive ¿xed point.

In this paper we underline the importance of the parametric subregularity property of setvalued mappings, de…ned with respect to …xed sets. We show that this property appears naturally for some very simple mappings which play an important role in the theory of metric regularity. We prove a result concerning the preservation of metric subregularity at generalized compositions. Then we obtain, on...

Predicting the future is not easy. As young medical graduates in the 1970s we were told not to bother with infectious disease specialties as they had largely been fi xed with vaccines and antibiotics. There was a surplus of doctors, and the Alma Ata Declaration had ushered in a new model of primary health care which was going to solve third world poverty and disease. Things were looking so good...

The nationwide screening service for breast cancer, known as BOB from the initials of the Dutch title (Bevolkingonderzoek op Borstkanker) has been set up by the Dutch government for asymptomatic women between 50 and 75 years of age. The primary test offered is X-ray mammography, aimed at early detection of breast cancer in order to reduce the mortality from this disease. The examinations are pe...

We present global and local algorithms for evaluating minimal xed points of dependency graphs, a general problem in xed-point computation and model checking. Our algorithms run in linear-time, matching the complexity of the best existing algorithms for similar problems, and are simple to understand. The main novelty of our global algorithm is that it does not use the counter and \reverse list" ...

Notice that best proximity point results have been studied to find necessaryconditions such that the minimization problemminx∈A∪Bd(x,Tx)has at least one solution, where T is a cyclic mapping defined on A∪B.A point p ∈ A∪B is a best proximity point for T if and only if thatis a solution of the minimization problem (2.1). Let (A,B) be a nonemptypair in a normed...

The article presents the results of study materials obtained during excavations early Turkic enclosure at Chichke-I site. Th is multi-temporal archaeological complex, located 13 km southwest Kurai village Kosh-Agach district Altai Republic, studied in 1982–1983 by Ongudai detachment expedition State University. Enclosure 159, northeastern part site, was one objects. During it found out that bas...

The breakdown point behavior of M-estimators in linear models with xed designs, arising from planned experiments or qualitative factors, is characterized. Particularly, this behavior at xed designs is quite diierent from that at designs which can be corrupted by outliers|the situation prevailing in the literature. For xed designs, the breakdown points of robust M-estimators (those with bounded ...

background: the fi nal position of the abutment changes with the amount of tightening torque. this could eventually lead to loss of passivity and marginal misfi t of prostheses. the aim of this study was to evaluate the effect of three different tightening torques on the marginal adaptation of 3-unit cement-retained implant-supported fi xed dental prostheses (fdps). materials and methods: two i...