Some Properties of -open Sets
A coating for improved resistance welding of galvanized steel parts or sheets comprises a binder, and a metal phosphide pigment, preferably a ferrophosphorus pigment, having a particle size of from about 0.1 to about 30 microns. The pigment can also include up to about 40% by weight of an additional metal such as tin, aluminum or lead, which can be combined with the metal phosphide in pigment form or deposited onto the surface of the particles. The coating can be applied to either the faying or non-faying surfaces of the galvanized steel, or to the resistance welding electrode, and may be removed, if desired, after the welding operation. The advantages of the present invention include a significant reduction in welding current and an increase in the weldability lobe width, a restoration of the dynamic resistance beta peak, and an increase in electrode life.
Introduction to-Type Transitive Maps on Topological spaces
 Abstract-In this paper, we define and introduce a new type of topological transitive map called θ-transitive and investigate some of its properties in (X, τ θ),   denotes the θ–topology of a given topological space (X, τ). Further, we introduce the notions of θ-minimal mapping. We have proved that every topologically transitive map is a θ-type transitive map but the converse not necessarily true, unless the space X is regular and that every minimal map is a θ-minimal map, but the converse not necessarily true. 1. INTRODUCTION In 1943, Fomin [10] introduced the notion of θ-continuous maps. The notions of θ-open sets, θ-closed sets and θ-closure where introduced by Veliˇcko [1] for the purpose of studying the important class of H-closed spaces in terms of arbitrary fiber-bases. Dickman and Porter [2], [3], Joseph [4] and Long and Herrington [14] continued the work of Velicˇko. Recently, Jafari [6] has also obtained several new and interesting results related to these sets. For these sets and maps, we introduce the notions of θ-type transitive maps, θ-minimal maps and show that some of their properties are analogous to those for topologically transitive maps. Also, we give some additional properties of θ-irresolute maps. We denote the interior and the closure of a subset A of X by Int(A) and Cl(A), respectively. By a space X, we mean a topological space (X, τ) A point x ∈ X is called a θ-adherent point of A [1], if   ) (V Cl A for every open set V containing x. The set of all θ-adherent points of a subset A of X is called the θ-closure of A and is denoted by) (A Cl  .) (if closed-called is X of A subset A A Cl A   . Dontchev and Maki [4] have shown that if A and B are subsets of a space (X, τ), then (B) Cl (A) Cl = B) (A Cl      and (B) Cl (A) Cl = B) (A Cl     . Note also that the θ-closure of a given set need not be a set closed-. But it is. always closed. Dickman and Porter [2] proved that a compact subspace of a Hausdorff space is θ-closed. Moreover, they showed that a θ-closed subspace of a Hausdorff space is closed. Jankovi´[7] proved that a space (X, τ) is Hausdorff if …
Adrenocorticotropin insensitivity syndromes.
I. Introduction II. Familial Glucocorticoid Deficiency A. Clinical presentation B. Investigation C. Treatment D. Pathogenesis III. Triple A Syndrome A. Clinical features B. Treatment C. Pathogenesis D. Mapping of triple A syndrome gene E. Candidate genes IV. Acquired ACTH Resistance V. Conclusions