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...

Abnormal Y chromosome includes Yq– of various extents (excluding normal Yq variation), Yp–, r(Y), and isochromosomes or isodicentric chromosomes, written variously as i(Yp), idic(Yp), i(Yq), and idic(Yq) [1]. The least rare of these rare conditions is the Y isochromosome, or isodicentric chromosome, usually seen as 46,X,i(Y)(p10) or 46,X,i(Y) (q11), in which the essential imbalance is a double ...

20 and topologies. As in the case of 2D meshes with double y channels, the turn model may reveal more adaptive routing algorithms than were previously known. For example, 24 of the 32 turns in a double-xy network can be allowed and still prevent deadlock, while the double-xy routing algorithm allows only 8 (Figure 2). Finally, we limited our exploration of routers with six bidirectional network...

We consider fourteen kinds of two-dimensional triangle hypersurface singularities, and consider what kinds of combinations of rational double points can appear on small deformation fibers of these triangle singularities. We show that possible combinations can be described by Gabriélov graphs and Dynkin graphs. 1. Review of results by Russian mathematicians In this article we assume that every v...

We thank the editor Ed George for the opportunity to discuss the paper by Kang and Schaeffer. The authors’ paper provides a review of doublerobust (equivalently, double-protected) estimators of (i) the mean μ = E(Y ) of a response Y when Y is missing at random (MAR) (but not completely at random) and of (ii) the average treatment effect in an observational study under the assumption of strong i...

Some authors have reported that quisqualic acid lesions of the nucleus basalis magnocellularis (NBM), although producing large cortical cholinergic losses, have little effect on memory. The purpose of the present study was to investigate the effects of quisqualic acid lesions of the NBM on working and reference memory in a double Y-maze. Each trial started with placement into one of the two end...

Due to the momentum transfer r ≡ p − p′ from the initial proton to the final, the “asymmetric” matrix element 〈p′|G . . . G|p〉 that appears in the pQCD description of hard diffractive electroproduction does not coincide with that defining the gluon distribution function fg(x). I outline a pQCD formalism based on a concept of a double distribution Fg(x, y), which specifies the fractions xp, yr, ...

A logical theory of regular double or multiple recurrence of eventualities, which are regular patterns of occurrences that are repeated, in time, has been developed within the context of temporal reasoning that enabled reasoning about the problem of coincidence. i.e. if two complex eventualities, or eventuality sequences consisting respectively of component eventualities x0, x1,....,xr and y0, ...

Na(+)/H(+) antiporters are ubiquitous membrane proteins that play a central role in the ion homeostasis of cells. In this study, we examined the possible role of Na(+)/H(+) antiport in Yersinia pestis virulence and found that Y. pestis strains lacking the major Na(+)/H(+) antiporters, NhaA and NhaB, are completely attenuated in an in vivo model of plague. The Y. pestis derivative strain lacking...