In this article, some curvature properties with respect to Tanaka-Webster connection on nearly cosymplectic manifolds have been studied.

In this paper we establish recurrence formulae for multi-poly-Bernoulli numbers. –Dedicated to Professor Ryuichi Tanaka on the occasion of his sixtieth birthday

We classify Hopf cylinders with proper mean curvature vector field in Sasakian 3-manifolds with respect to the Tanaka-Webster connection.

The purpose of the present work is to analyze the modulus of elasticity of graphene (Gr) sheet-reinforced metal matrix nanocomposites (MMNCs) using a homogenized model based on the Mori-Tanaka micromechanics approach. The main focus is to investigate the effects of Gr sheet agglomeration on the MMNC macroscopic elastic modulus. Also, the role of aligning Gr sheets in the mechanical performance ...

Three concepts of local times for deterministic c{\`a}dl{\`a}g paths are developed and the corresponding pathwise Tanaka--Meyer formulae provided. For semimartingales, it is shown that their sample a.s. satisfy all three definitions coincide with classical semimartingale time. In particular, this demonstrates each definition constitutes a legit counterpart probabilistic times. The last construc...

We determine the harmonic volumes for all the hyperelliptic curves. This gives a geometric interpretation of a theorem established by A. Tanaka [10].

Background: Evidence for the effect of dietary sodium intake on the risk of cardiovascular disease has been controversial. One of the main explanations for the conflicting results lies in the great variability associated with measurement methods for sodium intake. Spot urine collection is a convenient method commonly used for sodium estimation, but its validity for predicting 24-h urinary sodiu...

Given a set A in the unit interval and associated Lebesgue measure ?, it is natural question whether we may (in some sense) compute ? ( ) terms of A. Under moniker theoretic uniformity, Tanaka Sacks have (independently) provided positive answer for well-known class hyperarithmetical sets reals, basis theorem such measure. The are exactly computable functional 2 E, sense Kleene’s S1–S9. In turn,...

Background: The effects of interferon1b (IFN1b ) administration in multiple sclerosis (MS) patients have been confirmed, however, those in neuromyelitis optica (NMO) patients have not been shown. In this study, we assessed the effects of IFN1b treatment on disease exacerbation and disability progression in MS or NMO patients. Methods: We reviewed a series of 104 consecutive patients with relaps...