In a Regression Kink (RK) design with a finite sample, a confounding smooth nonlinear relationship between an assignment variable and an outcome variable around a threshold can be spuriously picked up as a kink and result in a biased estimate. In order to investigate how well RK designs handle such confounding nonlinearity, I firstly implement Monte Carlo simulations and then study the effect o...

Let f(x) = a0x r0 + a1x r1 + · · · + akx rk , where each ai ∈ R, each rk ∈ N := {0, 1, . . . }, and r0 < r1 · · · < rk. Suppose u < v. Let z(f, u, v) = the number of roots of f in (u, v], counted with multiplicity. For any w ∈ R and n ∈ N, let s(f, w, n) = the number of sign-changes in the sequence f(w), f ′(w), f ′′(w), . . . , f (w) (skipping over zeros). Then the Fourier-Budan Theorem says t...

The quantity RK = Γ(K → eν)/Γ(K → μν) studied by the experiment NA62 at CERN is known to probe lepton-flavour violating (LFV) parameters of the Minimal Supersymmetric Standard Model (MSSM). A non-zero parameter δ RR can open the decay channel K → eντ and enhance RK over its Standard-Model value. In the region of the parameter space probed by NA62 the contribution from a bino-stau loop diagram i...

Chronic lead exposure has been epidemiologically linked with hypertension and renal disease. Clinical studies suggest that low lead levels may contribute to renal progression. However, experimental studies have not examined whether low levels of lead accelerate progression in experimental chronic renal disease. Sprague-Dawley rats were administered lead (L; 150 ppm in drinking water, n = 16) fo...

We investigate the intersection of two finitely generated submonoids of the free monoid on a finite alphabet A. To this purpose, we consider automata that recognize such submonoids and we study the product automata recognizing their intersection. By using automata methods we obtain a new proof of a result of Karhumäki on the characterization of the intersection of two submonoids of rank two, in...

I present a numerical solution of linear and nonlinear stiff problems using the RK-Butcher algorithm. The obtained discrete solutions using the RK-Butcher algorithm are found to be very accurate and are compared with the exact solutions of the linear and nonlinear stiff problems and also with the Runge-Kuttamethod based on arithmeticmean (RKAM). A topic of stability for the RK-Butcher algorithm...

PURPOSE To report a case of laser in situ keratomileusis (LASIK) that used the Intralase femtosecond laser 14 years after radial keratotomy (RK) for residual myopic astigmatism. METHODS A 39 year-old male patient had undergone a bilateral RK operation for myopic correction. The manifest refraction was -1.25 -3.00 x 175 D, with uncorrected visual acuity (UCVA) of 20/50 and best-corrected visua...

In [Adv. Math. 196 (2005) 310–345] the author introduced a new generalized function space U(Rk) which can be naturally interpreted as the Fourier transform of the space of Sato’s hyperfunctions on Rk. It was shown that all Gelfand–Shilov spaces S′0 α (R k) (α > 1) of analytic functionals are canonically embedded in U(Rk). While the usual definition of support of a generalized function is inappl...

First we will demonstrate that with a proper account of the various aspects of the finite size effects the values of the interfacial thermal (Kapitza) resistance, RK, obtained via molecular dynamics simulations by equilibrium and non-equilibrium methods are the same. In the next part of the presentation we demonstrate that RK between a substrate and a nanoscopic film is thickness-dependent due ...