The weighted kappa statistic provides a measure of agreement κ w (scorer1, scorer2) between two scorers (scorer1 and scorer2) who classify observations into one of several groups or categories. The following description is adapted from reference (E1). Two scorers (scorer1 and scorer2) analyze a set of N observations by classifying each observation into one of g groups. This leads to a g × g-mat...

In this paper, we study vector-valued elliptic operators of the form $${\mathcal {L}}f:=\mathrm {div}(Q\nabla f)-F\cdot \nabla f+\mathrm {div}(Cf)-Vf$$ acting on functions $$f:\mathbb {R}^d\rightarrow \mathbb {R}^m$$ and involving coupling at zero first order terms. We prove that {L}}$$ admits realizations in $$L^p(\mathbb {R}^d,\mathbb {R}^m)$$ , for $$1<p<\infty $$ generate analytic strongly ...

The theoretical background of spatial interaction models is reviewed and used as a basis for the derivation of a novel approach for directly calibrating spatial interaction models concurrently with the main solution procedure. The analysis was prompted by a link with Fisher Information. The new approach is compared with a number of earlier approaches, particularly that of Sen and Smith. 1. Thre...

Using resonance ultrasound spectroscopy, we measured the monocrystal elastic-stiffness coefficients, the Voigt C ij, of TiB2. With hexagonal symmetry, TiB2 exhibits five independent C ij: C 11, C 33, C 44, C 12, C 13. Using Voigt-Reuss-Hill averaging, we converted these monocrystal values to quasiisotropic (polycrystal) elastic stiffnesses. Briefly, we comment on effects of voids. From the C ij...

We consider the problem of characterizing nonnegativity of the Moore-Penrose inverse for matrix perturbations of the type A − XGY, when the Moore-Penrose inverse of A is nonnegative. Here, we say that a matrix B = (b ij ) is nonnegative and denote it by B ≥ 0 if b ij ≥ 0, ∀i, j. This problemwasmotivated by the results in [1], where the authors consider an M-matrix A and find sufficient conditio...

We study the algebra of semigroups Laplacians on Weyl algebra. consider first-order partial differential operators $\nabla^\pm_i$ forming Lie $[\nabla^\pm_j,\nabla^\pm_k]= i\mathcal{R}^\pm_{jk}$ and $[\nabla^+_j,\nabla^-_k] =i\frac{1}{2}(\mathcal{R}^+_{jk}+\mathcal{R}^-_{jk})$ with some anti-symmetric matrices $\mathcal{R}^\pm_{ij}$ define corresponding $\Delta_\pm=g_\pm^{ij}\nabla^\pm_i\nabla^...

r is called commuting regular ring (resp. semigroup) if for each x,y $in$ r thereexists a $in$ r such that xy = yxayx. in this paper, we introduce the concept of commuting$pi$-regular rings (resp. semigroups) and study various properties of them.

For n 2, the boolean quadric polytope P n is the convex hull in d := ? n+1 2 dimensions of the binary solutions of x i x j = y ij , for all i < j in N := f1; 2; :::; ng. The polytope is naturally modeled by a somewhat larger polytope; namely, Q n the solution set of y ij x i , y ij x j , x i + x j 1 + y ij , y ij 0, for all i; j in N. In a rst step toward seeing how well Q n approximates P n , ...

The ability of Steinernema feltiae or Heterorhabditis bacteriophora infective juveniles (IJ), when applied to the soil surface, to infect a Galleria mellonella larva at the base of a soil-filled cup (276 cm(3)) was evaluated in the presence and absence of 100 larvae of a non-target insect, the aphid midge Aphidoletes aphidimyza, near the soil surface. In all four trials with either S. feltiae o...

T c = congested link travel time (seconds) T f = free-flow link travel time (seconds) v = link traffic volume (vehicles) c = link capacity (vehicles) α, β = volume/delay coefficients S r c = regular vehicle congested link travel speed (feet/hour) S e c = emergency vehicle congested link travel speed (feet/hour) S f = free-flow link travel speed (feet/hour) u = utilization of road segment in Are...