Given a faithful parameterization P(t) of a rational plane curve, an inversion formula t = f(x,y) gives the parameter value corresponding to a point (x,y) on the curve, where f is a rational function in x and y. We investigate the relationship between a point (x*, y*) not on the curve and the corresponding point P(t*) on the curve, where t* = f(x*, y*). It is shown that for a rational quadratic...

The interplay between structure, magnetism, and superconductivity in single crystal Ba(Fe 1−x Co x) 2 As 2 (x = 0.047) has been studied using high-resolution x-ray diffraction by monitoring charge Bragg reflections in each twin domain separately. The emergence of the superconducting state is correlated with the suppression of the orthorhombic distortion around T C , exhibiting competition betwe...

BACKGROUND AND AIMS Orientation of the occlusal plane is one of the most important clinical procedures in prostho-dontic rehabilitation of edentulous patients. The aim of this study was to define the best posterior reference point of ala-tragus line for orientation of occlusal plane for complete denture fabrication. MATERIALS AND METHODS Fifty-three dental students (27 females and 26 males) w...

Generalizing a sequence of Lambert, Cayley and Ramanujan, Chapoton has recently introduced a polynomial sequence Qn := Qn(x, y, z, t) defined by Q1 = 1, Qn+1 = [x+ nz + (y + t)(n + y∂y)]Qn. In this paper we prove Chapoton’s conjecture on the duality formula: Qn(x, y, z, t) = Qn(x+nz+ nt, y,−t,−z), and answer his question about the combinatorial interpretation of Qn. Actually we give combinatori...

Solutions for the stress and pore pressure p are derived due to sudden introduction of a plane strain shear dislocation on a leaky plane in a linear poroelastic, fluid-infiltrated solid. For a leaky plane, y 1⁄4 0, the fluid mass flux is proportional to the difference in pore pressure across the plane requiring that Dp 1⁄4 R@p=@y, where R is a constant resistance. For R 1⁄4 0 and R ! 1, the exp...

b = a length L c = the cohesion intercept M L T Ip = the plasticity index P = a force M L T u = the pore fluid pressure ML T θ = an angle Angle μ1 = shear strength reduction factor related to time effects μ2 = shear strength reduction factor related to fissuring σ = the normal stress on a plane M L T τ = the shearing stress on a plane M L T φ = the angle of internal friction Angle ψ = an angle ...