^Biometrics Unit, Minnesota Department of Natural Resources, 5463-C Broadway, Forest Lake, M N 55434, USA ^NERC Sea Mammal Research Unit, Scottish Oceans Institute, University of S t Andrews, S t Andrews, Fife K Y I 6 8LB, UK ̂Wildlife Biology Program, College of Forestry and Conservation, University of Montana, Missoula, M T 59812, USA ‘̂ Department of Biological Sciences, University of Alberta,...

Let $T$ be a positive closed current of bidimension $(1,1)$ with unit mass on $\mathbb P^2$ and $V_{\alpha}(T)$ the upper level sets Lelong numbers $\nu(T,x)$ $T$. For any $\alpha\geq \frac{1}{3}$, we show that $|V_{\alpha}(T)\setminus C|\leq 2$ for some cubic curve $C$.

Invariant cubature formulae for a class of weight functions on the simplex T d are derived using combinatorial methods, extending the formulae in [Grundmann and Möller, SIAM J. Numer Anal., 15 (1978), pp. 282–290] for the unit weight function on T d. These formulae are used to derive cubature formulae on the surface of the sphere Sd and on the unit ball Bd using connections between cubature for...

Invariant cubature formulae for a class of weight functions on the simplex T d are derived using combinatorial methods, extending the formulae in [Grundmann and Möller, SIAM J. Numer Anal., 15 (1978), pp. 282–290] for the unit weight function on T . These formulae are used to derive cubature formulae on the surface of the sphere S and on the unit ball B using connections between cubature formul...

Many of the proofs of lower-bounds on the conjectured satissability threshold value, c , for 3-SAT are based on probabilistic analyses of \iterative Davis-Putnam style" algorithms (IDPS algorithms) or slight modiications of IDPS algorithms 4], 5], 1], 9]. Let PSAT A (m; n; 3) denote the probability that algorithm A nds a satisfying truth assignment for a randomly generated instance (by the xed ...

As a particle moves along a smooth curve in the plane, turns as the curve bends. Since T is a unit vector, its length remains constant and only its direction changes as the particle moves along the curve. The rate at which T turns per unit of length along the curve is called the curvature (Figure 13.19). The traditional symbol for the curvature function is the Greek letter (“kappa”). k T = dr>d...

Recent studies on binary masking techniques make the assumption that each time-frequency (T-F) unit contributes an equal amount to the overall intelligibility of speech. The present study demonstrated that the importance of each T-F unit to speech intelligibility varies in accordance with speech content. Specifically, T-F units are categorized into two classes, speech-present T-F units and spee...

0. Introduction We begin by recalling a well known result of Dennis Sullivan for geodesic excursions on finite area non-compact surfaces V . Let v(t) be position reached after time t > 0 by a vector traveling at unit speed along the geodesic whose initial unit tangent vector was v(0). This following result describes the behaviour of the distance from v(t) to v(0) for typical geodesics as t tend...

This paper considers the uncapacitated lot sizing problem with batch delivery, focusing on the general case of timedependent batch sizes. We study the complexity of the problem, depending on the other cost parameters, namely the setup cost, the fixed cost per batch, the unit procurement cost and the unit holding cost. We establish that if any one of the cost parameters is allowed to be time-dep...

Let T be the unit circle, f be an α-Hölder continuous function on T, α > 1/2, and A be the algebra of continuous function in the closed unit disk D that are holomorphic in D. Then f extends to a meromorphic function in D with at most m poles if and only if the winding number of f + h on T is bigger or equal to −m for any h ∈A such that f + h 6= 0 on T. 1. MAIN RESULTS Let g be a non-vanishing c...