We prove that the Benjamin-Ono equation is globally well-posed in Hs(T) for s ≥ 0. Moreover we show that the associated flow-map is Lipschitz on every bounded set of Hs 0 (T), s ≥ 0, and even real-analytic in this space for small times. This result is sharp in the sense that the flow-map (if it can be defined and coincides with the standard flow-map on H∞ 0 (T)) cannot be of class C , α > 0, fr...

Let S(1) (0), S(1) (1),.,S(1) (n-1) be n circles. A rotation in n circles is a map f: union or logical sum (i=0) (n-1)S(1) (i)--> union or logical sum (i=0) (n-1)S(1) (i) which maps each circle onto another by a rotation. This particular type of interval exchange map arises naturally in bifurcation theory. In this paper we give a full description of the symbolic dynamics associated to such maps.

this article studies the effects of weather on road accidents in saqqez - sanandaj road. saqqez- sanandaj road’s length is 187 km and it is one of the main hazardous roads of the area. in this study, the distribution map of road accidents and the probability of accidents were prepared under every climatic condition (i.e., snowy, frozen, rainy, foggy, and sunny). a database of road accidents o...

Grafting a measured lamination on a hyperbolic surface defines a self-map of Teichmüller space, which is a homeomorphism by a result of Scannell and Wolf. In this paper we study the large-scale behavior of pruning, which is the inverse of grafting. Specifically, for each conformal structure X ∈ T (S), pruning X gives a map ML (S) → T (S). We show that this map extends to the Thurston compactifi...

Ciphers y = C(x, k) and  = (, ) are isomorphic if there exists invertible computable in both directions map y ↔ , x ↔ , k ↔ . Cipher is vulnerable if and only if isomorphic cipher is vulnerable. Instead of computing the key of a cipher it is sufficient to find suitable isomorphic cipher and compute its key. If φ is arbitrary substitution and T is round substitution, its conjugate  = φTφ...

the paper deals with special types of $l$-ordered sets, $l$-fuzzy complete lattices, and fuzzy directed complete posets.first, a theorem for constructing monotone maps is proved, a characterization for monotone maps on an $l$-fuzzy complete lattice is obtained, and it's proved that if $f$ is a monotone map on an $l$-fuzzy complete lattice $(p;e)$, then the least fixpoint of $f$ is meet of ...

The following propositions are true: (1) Let S, T be non empty relational structures and f be a map from S into T. Suppose f is one-to-one and onto. Then f · f −1 = id T and f −1 · f = id S and f −1 is one-to-one and onto. (2) Let X, Y be non empty sets, Z be a non empty relational structure, S be a non empty relational substructure of Z [: X,Y :] , T be a non empty relational substructure of (...

basal stem rot caused by sclerotinia sclerotiorum (lib.) de bary is one of the most important diseases of sunflower. quantitative trait loci (qtl) implicated in partial resistance to two isolates of s. sclerotiorum (ssu107 and sskh41) were investigated using f9 recombinant inbred lines (rils) from the cross between sunflower parental lines pac2 and rha266. experiments were conducted in complete...

BACKGROUND Intracerebroventricular infusion of NaHS, a hydrogen sulfide (H(2)S) donor, increased mean arterial pressure (MAP). This study was designed to determine the roles of H(2)S in the paraventricular nucleus (PVN) in modulating sympathetic activity and cardiac sympathetic afferent reflex (CSAR) in chronic heart failure (CHF). METHODOLOGY/PRINCIPAL FINDINGS CHF was induced by left descen...