The algorithm given on page 6 may deadlock because communications do not follow the directedness of the tree but may occur in either direction. The algorithm, and its proof, are correct if we restrict ourselves to trees, rather than RDAG`s. RDAG's ((1]) do not contain directed cycles, but may contain cycles. In those cases the algorithm, and the 'proof' of the absence of deadlock on p.7 are inc...

Definition 2.1. A game (in extensive form) is said to be zero-sum if and only if, at each terminal vertex, the payoff vector (p 1 ,. .. , p n) satisfies n i=1 p i = 0. Two-person zero sum games in normal form. Here's an example.. .    −1 −3 −3 −2 0 1 −2 −1 2 −2 0 1    The rows represent the strategies of Player 1. The columns represent the strategies of Player 2. The entries a ij represen...

The editing software used by the Economic Census offers a variety of imputation options, many of which employ statistical models. In prior censuses, the services sectors portion of the Economic Census has relied on industry average imputation as its primary statistical imputation model. This ratio imputation method uses weighted least squares estimates for no-intercept simple linear regression ...

Some studies suggest that entomopathogenic nematodes (EPN) affect plant-parasitic nematode populations. Here, the effects of live and dead IJ of Heterorhabditis bacteriophora JPM4, H. baujardi LPP7, Steinernema feltiae SN and S. carpocapsae All were evaluated against eggs and J2 of the plant-parasitic nematode Meloidogyne mayaguensis. According to treatment, 100 IJ were applied with 350 eggs, 3...

In this paper we consider a generalization to algebraic number fields of the classical Hermite constant γ n . For this constant we extend the well-known Minkowski bound and study the notion of extreme forms in this setting. Let us briefly recall the definition of Hermite’s constant. Let (a ij ) be a positive definite symmetric real n¬n matrix and let f(x " ,... ,x n ) ̄3 ij a ij x i x j be its a...

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^...

The aim of this paper is to introduce and study two new classes of functions called weakly $e^{*}$-open functions and weakly $e^{*}$-closed functions via the concept of $e^{*}$-open set defined by Ekici cite{erd1}. The notions of weakly $e^{*}$-open and weakly $e^{*}$-closed functions are weaker than the notions of weakly $beta$-open and weakly $beta$-closed functions defined by Caldas and Nava...

nearly zero. (3) A watermark is randomized so that a pattern of cyclic cross stripes may disappear and an embedded watermark may be inconspicuous. The embedded watermark is extracted by multiplying the conversely randomized image embedding a watermark by the random sequence. (4) An ID pattern is extracted by summing up the products of any part of the random sequence and the corresponding part o...

Consider a N × n random matrix Yn = (Y n ij ) where the entries are given by Y n ij = σ(i/N,j/n) √ n Xn ij , the X n ij being centered i.i.d. and σ : [0, 1] 2 → [0,∞) being a continuous function called a variance profile. Consider now a deterministic N ×n matrix Λn = ( Λij ) whose off-diagonal entries are zero. Denote by Σn the non-centered matrix Yn+Λn and by N ∧n = min(N,n). Then under the as...