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...

Logistic regression analysis is used to model categorical dependent variable. It is usually used in social sciences and clinical research. Human thoughts and disease diagnosis in clinical research contain vagueness. This situation leads researchers to combine fuzzy set and statistical theories. Fuzzy logistic regression analysis is one of the outcomes of this combination and it is used in situa...

For linearly elastic heterogeneous solids, averaging theorems are developed by Nemat-Nasser and Hori (S. Nemat-Nasser, M. Hori, Micromechanics: Overall Properties of Heterogeneous Solids, Elsevier, Amsterdam, 1993; and S. Nemat-Nasser, M. Hori, J. Eng. Mater. Technol. 117 (1995) 412), using a multi-inclusion model. This model is based on the observation that the average strain and stress in any...

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

In this paper, the nonlinear conjugate map is applied based on the conjugate Hasofer-Lind and Rackwitz- Fiessler (CHL-RF) method to evaluate the reliability index using the first order reliability method of the embedded nanocomposite beam, which is made of a polymer reinforced with carbon nanotubes (CNTs). The structure is simulated with the Timoshenko beam model. The Mori-Tanaka model is appli...

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...