This brief article provides an independent derivation of a formula given by Kafadar and Eringen (1971) connecting two distinct Cosserat spins. The first of these, the logarithmic spin represents the time rate of change of the vector defining finite Cosserat rotation, whereas the second, the instantaneous spin, gives the local angular velocity representing the infinitesimal generator of that rot...

Background: A novel drug delivery system using poly (ε-caprolactone) - poly (ethylene glycol) -poly (ε-caprolactone) (PCL-PEG-PCL) was established in this study. Methods: Ceftriaxone (CTX) was encapsulated within PCL-PEG-PCL nanoparticles by a double emulsion technique (w/o/w), leading to creation of ceftriaxone-loaded PCL-PEG-PCL (CTX/PCL-PEG-PCL) polymersomes. The resulting polymersomes...

1. Introduction. Let µ be a continuous (i.e., without atoms) positive Radon measure on the complex plane. The truncated Cauchy integral of a compactly supported function f in L p (µ), 1 ≤ p ≤ +∞, is defined by Ꮿ ε f (z) = |ξ −z|>ε f (ξ) ξ − z dµ(ξ), z ∈ C, ε > 0. In this paper, we consider the problem of describing in geometric terms those measures µ for which |Ꮿ ε f | 2 dµ ≤ C |f | 2 dµ, (1) f...

Long-term creep tests on the solid-solute-strengthened zirconium alloy, i.e., Zircaloy-4, revealed presence of double steady-state behavior at 623–673 K. The first steady state manifested as a faster strain rate (ε) ∼0.05, and second appeared with slower ε > 0.1. Several electron microscopy change in dislocation structure during from motion individual dislocations to generation cell structure. ...

The double impulse is introduced as a substitute of the fling-step near-fault ground motion. A closed-form solution of the elastic–plastic response of a structure on compliant (flexible) ground by the “critical double impulse” is derived for the first time based on the solution for the corresponding structure with fixed base. As in the case of fixed-base model, only the free vibration appears u...

We provide a rigorous derivation of the brownian motion as the limit of a deterministic system of hard-spheres as the number of particles N goes to infinity and their diameter ε simultaneously goes to 0, in the fast relaxation limit α = Nεd−1 → ∞ (with a suitable diffusive scaling of the observation time). As suggested by Hilbert in his sixth problem, we rely on a kinetic formulation as an inte...

In the first equation on page 1471 of our recent paper (Pan and Del Castillo, 2003) the right hand side should say (d− d̂0)/σε and not d− d̂0. In addition, we point out that the cost function (4) is not the same as that used by Trietsch (2000). As explained in the paper, equation (4) is obtained by assuming the setup error or offset d is an unknown, non-random constant. Trietsch (2000) assumes d ...