After recalling the precise existence conditions of the zeta function of a pseudodifferential operator, and the concept of reflection formula, an exponentially convergent expression for the analytic continuation of a multidimensional inhomogeneous Epstein-type zeta function of the general form ζA,~b,q(s) = ∑ ~n∈Z (~nA~n+~b~n+ q)−s, with A the p× p matrix of a quadratic form, ~b a p vector and q...

Given a density d de…ned on the Borel subsets of [0;1); the limit at in…nity in density of a function f : [0;1) ! R is zero if each of the sets ft : jf(t)j "g has zero density whenever " > 0: It is proved that every Lebesgue integrable function f : [0;1) ! R veri…es this type of behavior at in…nity with respect to a scale of densities including the usual one, d(A) = limr!1 m(A\[0;r)) r : The an...

BACKGROUND The psychometric properties of an instrument should be evaluated routinely when using different samples. This study evaluated the psychometric properties of the Functional Assessment of Cancer Therapy-General (FACT-G) when applied to a sample of Brazilian cancer patients. METHODS The face, content, and construct (factorial, convergent, and discriminant) validities of the FACT-G wer...

In this paper our purpose is to extend some results known in the literature for ordinary difference (single) to difference double sequences of real numbers.Quite recently, Esi [1] defined the statistical analogue for double difference sequences x = (xk,l) as follows: A real double sequence x = (xk,l) is said to be P-statistically ∆− convergent to L provided that for each ε > 0 P − lim m,n 1 mn ...

abstract many studies have been conducted on the characteristics of hydraulic jump over gradually expanding cross sections, but comparatively few have been carried out on basins with convergent wall. in the present research, the hydraulic jump characteristic of the stilling basin with convergent wall has been investigated. the main objective of this research is evaluation of conjugate depths ra...

Dishevelled signaling plays a critical role in the control of cell intercalation during convergent extension in vertebrates. This study presents evidence that Dishevelled serves a similar function in the Ciona notochord. Embryos transgenic for mutant Dishevelled fail to elongate their tails, and notochord cells fail to intercalate, though notochord cell fates are unaffected. Analysis of mosaic ...