Some properties of the relation between the singular point set and the non-proper value curve of polynomial maps of C are expressed in terms of Newton-Puiseux expansions.

Automatic acquisition of inference rules for predicates has been commonly addressed by computing distributional similarity between vectors of argument words, operating at the word space level. A recent line of work, which addresses context sensitivity of rules, represented contexts in a latent topic space and computed similarity over topic vectors. We propose a novel two-level model, which comp...

This paper describes TM/XML, an XML syntax for Topic Maps that is very close to the natural, or colloquial, XML representation of the information in the topic map. It can be used to process Topic Maps data with XML tools, and integrate non-Topic Maps systems with Topic

Tea is an agricultural product of the leaves, leaf buds, and internodes of various cultivars and sub-varieties of the Camellia sinensis plant, processed and vulcanized using various methods. Tea is a main beverage in Iranian food basket so should be free from toxic elements such as pesticides residue. There is no data bank on the residue of pesticides in the consumed black tea in Iran. The pres...

susceptibility maps obtained with the CF solution (Rho = 0.94, r = 0.97) on the regions of interest, GP -globus pallidus, SN susbtantia nigra, C caudate, RN red nucleus, P putamen, FM forceps major, IFOF inferior fronto-occipital fasciculus Fig. 1 shows error of QSM maps in respect to Ground Truth (zero being lowest reconstruction error) as a function of the regularization parameters λ (see Eq....

We show that the moduli space of stable maps from a genus 0 curve into a nonsingular real convex projective variety having a real structure compatible with a complex conjugate involution on CP has a real structure. The real part of this moduli space consists of real maps having marked points on the real part of domain curves. This real part analysis enables us to relate the studies of real inte...

In this article, we develop the Yoccoz puzzle technique to study a family of rational maps termed McMullen maps. We show that the boundary of the immediate basin of infinity is always a Jordan curve if it is connected. This gives a positive answer to the question of Devaney. Higher regularity of this boundary is obtained in almost all cases. We show that the boundary is a quasi-circle if it con...

An elliptic curve y = x +ax+ b over the prime field Fp may be twisted by a change of variables into the curve y = x + a′x + b′, where a′ differs from a by a quartic residue. We show that most curves over Fp may be twisted to have a′ quite small, allowing one of the multiplications in the point doubling formula to be replaced by additions. This speeds up algorithms to solve the elliptic curve di...

We investigate the break up of the last invariant curve for analytic families of standard maps Sλ : { y′ = λg(x) + y x′ = x + y′ mod 1 , where g : S →IR is an analytic function such that ∫

A teacher must consider many details when planning and organizing a course. This paper shows how the new Topic Map computer technology can help in this process. The developed Topic Map for the CS knowledge domain is used for the analysis of introductory CS courses, but it can be also applied to other courses, including in noncomputer disciplines. Well-structured Topic Maps may become a solid ba...