We investigate transient periodic orbits of dissipative invertible maps of R2. Such orbits exist just before, in parameter space, a saddle-node pair is formed. We obtain numerically and analytically simple scaling laws for the duration of the transient, and for the region of initial conditions which evolve into transient periodic orbits. An estimate of this region is then obtained by the constr...

Vegetative buffers may function better for filtering agricultural runoff in some locations than in others because of intrinsic characteristics of the land on which they are placed. The objective of this study was to develop a method based on soil survey attributes that can be used to compare soil map units for how effectively a buffer installed in them could remove pollutants from crop field ru...

Let Ω be a smooth bounded simply connected domain in R2. We investigate the existence of critical points of the energy Eε(u) = 1/2 ́ Ω |∇u|2 + 1/(4ε2) ́ Ω(1−|u|), where the complex map u has modulus one and prescribed degree d on the boundary. Under suitable nondegeneracy assumptions on Ω, we prove existence of critical points for small ε. More can be said when the prescribed degree equals one. ...

We show that, under certain natural assumptions, large random plane bipartite maps with a boundary converge after rescaling to a one-parameter family (BDL, 0 < L < ∞) of random metric spaces homeomorphic to the closed unit disk of R2, the space BDL being called the Brownian disk of perimeter L and unit area. These results can be seen as an extension of the convergence of uniform plane quadrangu...

For simplicity, we use the following convention: a, b, s, s1, r, r1, r2 denote real numbers, n, i denote natural numbers, X denotes a non empty topological space, p, p1, p2, q denote points of E n T, P denotes a subset of the carrier of E n T, and f denotes a map from E T into R . Let n, i be natural numbers and let p be an element of the carrier of E T. The functor Proj(p, i) yielding a real n...

We report the synthesis of Mo and W MAP complexes that contain O-2,6-(2,5-R2-pyrrolyl)2C6H3 (2,6-dipyrrolylphenoxide or ODPPR) ligands in which R = i-Pr, Ph. W(NAr)(CH-t-Bu)(Pyr)(ODPPPh) (4a; Ar = 2,6-disopropylphenyl, Pyr = pyrrolide) reacts readily with ethylene to yield a metallacyclobutane complex, W(NAr)(C3H6)(Pyr)(ODPPPh) (5). The structure of 5 in the solid state shows that it is approxi...

H. Schröder, A. Bongers, L. R. Schad Department of Medical Physics in Radiology, Deutsches Krebsforschungszentrum, Heidelberg, Germany Introduction Following a model of tissue structure, proposed by Yablonskiy [1], oxygen extraction fraction from blood (OEF) can be calculated by measuring blood volume fraction (λ) and reversible relaxation rate (R2). In this work, a new nested multi-echo EPI ac...

Using the domain-theoretic model for geometric computation, we define the partial Delaunay triangulation and the partial Voronoi diagram of N partial points in R2 and show that these operations are domain-theoretically computable and effectively computable with respect to Hausdorff distance and Lebesgue measure. These results are obtained by showing that the map which sends three partial points...

Protein expression monitoring can be a good tool to determine disease onset and progression, and is also used in drug discovery and investigational science (1–4). However, commonly used assays lack the sensitivity and specificity required for the detection of low-abundance proteins (5,6). Several signal amplification technologies have been designed and applied to protein detection assays, inclu...