One considers the control problem of an ensemble Bloch equations (non-interacting half-spins) in a static magnetic field B0. The state M(t,⋅) belongs to Sobolev space H1((ω∗,ω∗),S2) where parameter ω∈(ω∗,ω∗) is Larmor frequency. Previous works have constructed Lyapunov based stabilizing feedback convenient H1-norm that assures local L∞-convergence initial M0(ω) south pole, solving locally appro...

A new mode of transport is described that was capable of high-resolution separation of superparamagnetic materials from complex mixtures based on their size. Laminar flow and a rotating external magnetic field were applied to superparamagnetic beads assembled on a semiperiodic micromagnet array. Beads at the edge of the micromagnet array oscillated in-phase with the external magnetic field with...

where Ω is an open and bounded domain with smooth boundary, ∇̂u denotes the strain tensor, ∇̂u := 12 (∇u + (∇u)T ), ψ ∈ H(∂Ω) is the boundary displacement or source, and C ∈ L(Ω) denotes the isotropic elasticity tensor with Lamé parameters λ, μ: C = λI3 ⊗ I3 + 2μIsym, a.e. in Ω, where I3 is 3 × 3 identity matrix and Isym is the fourth order tensor such that IsymA = Â, ρ ∈ L(Ω) is the density, and...

where n is the multiplicity of identical particles within Ω in a given event and the angular brackets imply the average over the event ensemble. Besides the interparticle correlations, the ρq in general contain “trivial” contributions from lower-order densities. We, therefore, consider a sequence of cumulant coorelation functions Cq(p1, . . . , pq) which vanish whenever one of their arguments b...

the edge tenacity te(g) of a graph g is de ned as:te(g) = min {[|x|+τ(g-x)]/[ω(g-x)-1]|x ⊆ e(g) and ω(g-x) > 1} where the minimum is taken over every edge-cutset x that separates g into ω(g - x) components, and by τ(g - x) we denote the order of a largest component of g. the objective of this paper is to determine this quantity for split graphs. let g = (z; i; e) be a noncomplete connected spli...

We propose analytical approximations of the reflection and transmission spectra a stacked dielectric diffraction grating consisting two identical resonant guided-mode gratings with Lorentzian line shape. These approximations, derived using scattering matrix formalism, are functions both angular frequency ω tangential wave vector component kx incident wave. analytically demonstrate and, full-wav...

It is demonstrated that ω−4/3 law of the power spectrum with the angular frequency ω in dissipative flows is produced by the emission of dispersive waves from the antikink of an congested domain. The analytic theory predicts the spectrum is proportional to ω for relatively low frequency and ω−4/3 for high frequency. 05.40.-a,45.70.Mg 05.60.-k Typeset using REVTEX 1 Recently, much attention has ...

We investigate observational constraints on the cosmic equation of state from measurements of angular size for a large sample of milliarcsecond compact radio-sources. The results are based on a flat Friedmann-Robertson-Walker (FRW) type models driven by non-relativistic matter plus a smooth dark energy component parametrized by its equation of state p x = ωρ x (−1 ≤ ω < 0). The allowed interval...

We study a dynamic model of relaxor ferroelectrics based on the spherical random-bond—random-field model and the Langevin equations of motion written in the representation of eigenstates of the random interaction matrix. The solution to these equations is obtained in the long-time limit where the system reaches an equilibrium state in the presence of random local electric fields. The complex dy...

BACKGROUND Acute kidney injury (AKI) is a clinically important condition that has attracted a great deal of interest from the biomedical research community. However, acute kidney injury AKI research findings have yet to be translated into significant changes in clinical practice. OBJECTIVE This article reviews many of the preclinical innovations in acute kidney injury AKI treatment, and explo...