In this paper we study conformally geodesic mappings between pseudo-Riemannian manifolds (M, g) and (M̄, ḡ), i.e. mappings f : M → M̄ satisfying f = f1 ◦ f2 ◦ f3, where f1, f3 are conformal mappings and f2 is a geodesic mapping. Suppose that the initial condition f∗ḡ = kg is satisfied at a point x0 ∈ M and that at this point the conformal Weyl tensor does not vanish. We prove that then f is neces...

Norovirus (NV) is a major viral pathogen that causes nonbacterial acute gastroenteritis and outbreaks of food-borne disease. The genotype of NV most frequently responsible for NV outbreaks is GII.4, which accounts for 60-80% of cases. Moreover, original and new NV variant types have been continuously emerging, and their emergence is related to the recent global increase in NV infection. In this...

OBJECTIVE The aim of this study was to investigate liver fibrosis using non-invasive Real-time Tissue Elastography (RTE) and transient elastography (FibroScan) methods. METHODS RTE, FibroScan and percutaneous liver biopsy were all performed on patients with chronic liver disease, particularly hepatitis C, to investigate liver fibrosis. RESULTS FibroScan and RTE were compared for fibrous liv...

In this paper we present the N-norms/N-conorms in neutrosophic logic and set as extensions of T-norms/T-conorms in fuzzy logic and set. Also, as an extension of the Intuitionistic Fuzzy Topology we present the Neutrosophic Topologies. 1. Definition of the Neutrosophic Logic/Set: Let T, I, F be real standard or non-standard subsets of ]0, 1[, with sup T = t_sup, inf T = t_inf, sup I = i_sup, inf...

For F/K an algebraic function field in one variable over a finite field of constants K (i.e., F is a finite algebraic extension of K(x) where x ∈ F is transcendental over K), let N(F ) and g(F ) denote the number of places of degree one and the genus, respectively, of F . Let F = (F1, F2, F3, . . .) be a tower of function fields, each defined over K. Further, we will assume that F1 ⊆ F2 ⊆ F3 . ...

Let F2 denote the free group on two generators a and b. For any measure-preserving system (X,X , μ, (Tg)g∈F2 ) on a finite measure space X = (X,X , μ), any f ∈ L1(X), and any n > 1, define the averaging operators An f (x) := 1 4× 3n−1 ∑ g∈F2 :|g|=n f (T g x), where |g| denotes the word length of g. We give an example of a measure-preserving system X and an f ∈ L1(X) such that the sequence An f ...

2 Notation. Function composition is written as f · g , and application of f to a is written f a or f . a. Application written as a space has the highest priority and application written as a “low dot” has the lowest priority (as suggested by the wide space surrounding the dot). So, f ·g . x +y = f (g (x +y)). This convention saves parentheses, thus improving readability. In order to facilitate ...