Let N0 be the set of all non-negative integers and P(N0) be its the power set. An integer additive set-indexer (IASI) of a graph G is an injective function f : V (G) ! P(N0) such that the induced function f+ : E(G) ! P(N0) defined by f+(uv) = f(u) + f(v) is also injective, where f(u) + f(v) is the sum set of f(u) and f(v). An integer additive set-indexer f is said to be a weak integer additive ...

In this work we characterize the zero sets of holomorphic functions f in the bidisc such that log jf j Lp D p Moreover we give a su cient condition on a analytic variety to be de ned by a function in A D Introduction In this paper we study some geometrical conditions on analytic varieties in the bidisc D fz C jz j jz j g to be de ned by an holomorphic func tion with some restriction on its grow...

A gradient Ricci soliton is a triple (M, g, f) satisfying Rij +∇i∇jf = λgij for some real number λ. In this paper, we will show that the completeness of the metric g implies that of the vector field ∇f .

A polynomial map F = (P,Q) ∈ Z[x, y]2 with Jacobian JF := PxQy −PyQx ≡ 1 has polynomial inverse of integer coefficients if the complex plane curve P = 0 has infinitely many integer points. 2000 Mathematical Subject Classification: 14R15.

OBJECTIVE Root mobility due to reciprocating movement of the tooth (jiggling) may exacerbate orthodontic root resorption (ORR). "Jiggling" describes mesiodistal or buccolingual movement of the roots of the teeth during orthodontic treatment. In the present study, buccolingual movement is described as "jiggling." We aimed to investigate the relationship between ORR and jiggling and to test for p...

For a non-empty ground set X, finite or infinite, the set-valuation or set-labeling of a given graph G is an injective function f : V (G) ! P(X) such that the induced edge-function f : E(G) ! P(X) ?? f;g is defined by f (uv) = f(u) f(v) for every uv2E(G), where P(X) is the power set of the set X and is a binary operation on sets. A set-indexer of a graph G is an set-labeling f : V (G) such that...

It was proved in [4] that the ultraweakly closed algebras generated by certain contractions on Hubert space have a remarkable property. This property, in conjunction with the fact that these algebras are isomorphic to Hx, was used in [3] to show that such ultraweakly closed algebras are reflexive. In the present paper we prove an analogous result that does not require isomorphism with Hx, and a...

1 Chawla LS, Zia H, Gutierrez G, et al. Lack of equivalence between central and mixed venous oxygen saturation. Chest 2004; 126:1891–1896 2 Edwards JD, Mayall RM. Importance of the sampling site for measurement of mixed venous oxygen saturation in shock. Crit Care Med 1998; 26:1356–1360 3 von Ludinghausen M. The venous drainage of the human myocardium. Adv Anat Embryol Cell Biol 2003; 168:1–104...

A case of unusual anatomical variation of the jugular foramen (JF) with doubled posterior condylar canal (PCC) is reported. According to the presence of bridging, the JF can be defined as Type I (one septation, two compartments) on the right side and Type IV (three septations, four compartments) on the left side. The dome of the jugular fossa is present on the right, absent on the left. The jug...

A homomorphism J: 7Tk_1(SOw) -> nm+k_1(S ) from the homotopy groups of rotation groups to the homotopy groups of spheres has been defined by H. Hopf and G. W. Whitehead. This homomorphism plays an important role in the study of differentiable manifolds. We will study its relation to one particular problem: the question of possible Pontrjagin numbers of an 'almost parallelizable' manifold. Defin...