For matrix Riccati equations of platoontype systems and of systems arising from PDEs, assuming the coefficients are analytic functions in a suitable domain, the analyticity of the stabilizing solution is proved under various hypotheses. In addition, general results on the analytic behavior of stabilizing solutions are developed. I. NONSTANDARD RICCATI EQUATIONS In [10], [7] and elsewhere contin...

Let U ⊂ Ĉ be a simply connected domain whose complement K = Ĉ \ U contains more than one point. We show that the impression of a prime end of U contains at most two points at which K is locally connected. This is achieved by establishing a characterization of local connectivity of K at a point z0 ∈ ∂U in terms of the prime ends of U whose impressions contain z0 and then invoking a result of Urs...

The problem of the Kohn mode in bosonized theories of one-dimensional interacting fermions in the harmonic trap is investigated and a suitable modification of the interaction is proposed which preserves the Kohn mode. The modified theory is used to calculate exactly the inhomogeneous linear mobility μ(z, z0;ω) at position z in response to a spatial force pulse at position z0. It is found that t...

The multiplicity distributions for individual fragment Z values in nuclear multifragmentation are binomial. The extracted maximum value of the multiplicity, mZ , is found to depend on Z according to mZ = Z0/Z, where Z0 is the source size. This is shown to be a strong indication of statistical coverage of fragmentation phase space. The inferred source sizes coincide with those extracted from the...

The effects of smooth muscle activation on the pressure dependence of arterial wall characteristic impedance were studied with isolated segments of canine iliac and carotid arteries. Measurements of external diameter and transmural pressure were made before and after activation of the arterial smooth muscle (SM) by norepinephrine (NE) in concentrations of 0.5 and 5 mug/ml and used to compute va...

Let X be a Banach space and Z a relatively weakly compact subset of X. Let J : Z → R be a upper semicontinuous function bounded from above and p ≥ 1. This paper is concerned with the perturbed optimization problem of finding z0 ∈ Z such that ‖x− z0‖ + J(z0) = supz∈Z{‖x− z‖p + J(z)}, which is denoted by maxJ(x, Z). We prove in the present paper that if X is Kadec w.r.t. Z, then the set of all x ...

We drop a circular disk magnet through thin coil of wire, record the induced voltage, and compare results to an analytic model based on dipole approximation Faraday's law, which predicts that difference between voltage peak magnitudes corresponding entry exit should be in proportion z0−1/2, where z0 is initial height above center coil. Agreement experimental data excellent. This easily reproduc...

The precise investigation of the W+W−Z0 production at the e+e− International Linear Collider(ILC) is of crucial importance in probing the couplings between massive vector gauge bosons and discovering the signature of new physics beyond the standard model(SM). We study the full one-loop EW effects on the observables, such as, the total cross section, the differential cross section of the invaria...

We have reported in a previous paper (Paper I) B,V and I band photometric data for a sample of 24 edge-on interacting spiral galaxies, together with a control sample of 7 edge-on isolated galaxies. We discuss here the main result found in this study: the ratio h/z0 of the radial exponential scalelength h to the constant scaleheight z0 is about twice smaller for interacting galaxies. This is fou...