We study the connection between STFT multipliers A1⊗mg1,g2 having windows g1,g2, symbols a(x,ω)=(1⊗m)(x,ω)=m(ω), (x,ω)∈R2d, and Fourier Tm2 with symbol m2 on Rd. find sufficient necessary conditions m,m2 g1,g2 for equality Tm2=A1⊗mg1,g2. For m=m2 former holds only particular choices of window functions in modulation spaces, whereas it never occurs realm Lebesgue spaces. In general, multiplier A...

PURPOSE To examine evidence of the continuity in abusive discipline across two generations (G1 and G2) and the role of safe, stable, and nurturing relationships (SSNRs) as protective factors. METHODS Data are from the Lehigh Longitudinal Study, a prospective investigation of the causes and consequences child maltreatment that began in the 1970s with a sample of 457 children and their parents....

In this paper we present a novel approach to consider the multi-degree reduction of Bézier curves with G2-continuity in L2norm. The optimal approximation is obtained by minimizing the objective function based on the L2-error between the two curves. In contrast to traditional methods, which typically consider the components of the curve separately, we use geometric information on the curve to ge...

This commentary reviews the major findings of this set of 4 papers on intergenerational continuity in antisocial behavior; it identifies strengths and remaining challenges, and discusses potential policy implications of the research. As a group, these researchers have raised the methodological bar for future work in this area, using prospective designs with multiple informants and methods to te...

Cells of the pseudostratified ventricular epithelium (PVE) undergo interkinetic nuclear migration whereby position of cell soma with nucleus is systematically dependent upon cell cycle phase. We examined if the interkinetic nuclear migration in the neopallial PVE is influenced by tissue continuity with the ganglionic eminence (GE) of the basal forebrain in explants from embryonic day 13 mice. W...

This paper introduces a new approach for the fabrication of generalized developable cubic trigonometric Bézier (GDCT-Bézier) surfaces with shape parameters to address fundamental issue local surface adjustment. The GDCT-Bézier are made by means GDCT-Bézier-basis-function-based control planes and alter their modifying parameter value. designed maintaining classic characteristics when take on dif...

This paper presents an algorithm to solve the approximate implicitization of planar parametric curves using cubic algebraic splines. It applies piecewise cubic algebraic curves to give a global G2 continuity approximation to planar parametric curves. Approximation error on approximate implicitization of rational curves is given. Several examples are provided to prove that the proposed method is...