With the first measurements of the branching ratios and the direct CP asymmetries of B s → K − K + , K − π + decays by the CDF collaboration, we constrain the relevant parameter space of the Minimal Supersymmetric Standard Model with R-parity violation. Using the constrained R-parity violating couplings, we further examine their possible effects in B s → K − * π + , K (*)− ρ + and K (*)± K (*)∓...

Consider lattice paths in Z taking unit steps north (N) and east (E). Fix positive integers r, s and put an equivalence relation on points of Z by letting v, w be equivalent if v − w = `(r, s) for some ` ∈ Z. Call a lattice path valid if whenever it enters a point v with an E-step, then any further points of the path in the equivalence class of v are also entered with an E-step. Loehr and Warri...

Let us begin by recalling the definition of two familiar processes, a Brownian motion and a Poisson process. A real-valued process B = {B t : t ≥ 0} defined on a probability space (Ω, F , P) is said to be a Brownian motion if the following hold: (i) The paths of B are P-almost surely continuous. (ii) P(B 0 = 0) = 1. (iii) For 0 ≤ s ≤ t, B t − B s is equal in distribution to B t−s. (iv) For 0 ≤ ...

Consider lattice paths in Z taking unit steps north (N) and east (E). Fix positive integers r, s and put an equivalence relation on points of Z by letting v,w be equivalent if v − w = l(r, s) for some l ∈ Z. Call a lattice path valid if whenever it enters a point v with an E-step, then any further points of the path in the class of v are also entered with an E-step. Loehr and Warrington conject...

Let us begin by recalling the definition of two familiar processes, a Brownian motion and a Poisson process. A real-valued process B = {B t : t ≥ 0} defined on a probability space (Ω, F , P) is said to be a Brownian motion if the following hold: (i) The paths of B are P-almost surely continuous. (ii) P(B 0 = 0) = 1. (iii) For 0 ≤ s ≤ t, B t − B s is equal in distribution to B t−s. (iv) For 0 ≤ ...

Five shipments of feeder calves (965 head hauled in 11 drop-center trailers) were shipped 1,600 km by tractor trailer from Algood, Tennessee, to Bushland, Texas, during the fall seasons of 1976, 1977 and 1978. Shrink, incidence of shipping fever and subsequent feedlot performance of these feeder calves were analyzed. There were significant differences in shrink and subsequent feedlot performanc...

We are given a graph G, an independant set S ⊂ V (G) of terminals, and a function w : V (G) → N. We want to know if the maximum w-packing of vertex-disjoint paths with extremities in S is equal to the minimum weight of a vertex-cut separating S. We call Mader-Mengerian the graphs with this property for each independant set S and each weight function w. We give a characterization of these graphs...

The problem of counting the number of s-t paths in a graph is #P-complete. We provide an algorithm to estimate the solution stochastically, using sequential importance sampling. We show that the method works effectively for both graphs and digraphs. We also use the method to investigate the expected number of s-t paths in a random graph of size n and density d, and develop a model that shows ho...

Polyolefins are finding increased popularity in microfluidic applications due to their attractive mechanical, processing, and optical properties. While intricate features are typically realized in these thermoplastics by hot embossing and injection molding, such fabrication approaches are expensive and slow. Here, we apply our shrink-induced approach-first demonstrated with polystyrene 'Shrinky...