Atiyah and Bott ([AB1],[AB2]) generalized this theorem to complexes of elliptic operators; we briefly recall (under mild restrictions) their theorem. Let E0, E1, · · · , EN be a sequence of smooth hermitian vector bundles over M , equipped with a sequence of first order differential operators Di : Γ(Ei) → Γ(Ei+1). This sequence, denoted Γ(E), is called an elliptic complex if for all i, Di+1Di =...

This paper proposes generalized measures of wage di erentials that are not solely determined by \the average wage of the average person" but that depend on di erences across complete conditional wage distributions, thereby incorporating concerns about di erences in higher order moments. Both level and spread di erences are considered (while most existing approaches implicitly focus on levels on...

In this paper, we establish the well-posedness of the generalized moment problems recently studied by Byrnes-Georgiou-Lindquist and coworkers, and by Ferrante-Pavon-Ramponi. We then apply these continuity results to prove almost sure convergence of a sequence of high-resolution spectral estimators indexed by the sample size. ∗Partially supported by the Ministry of Education, University, and Res...

This paper is concerned with the identification of outliers and influential observations in a linear regression model, Y = Xo/3 + E, of full rank k. Cook’s DI st-atisti: is the scaled Mal@anobis type squared distance DI = (~1 – ~)’ (X~Xo) (~~ – ~)/(T_s?) between P (using all the cases) and /31 (using all cases except those in the subset 1 with T cases), where s; is the unbiased estimator for a2...

The shell morphology of mud snails, Zeacumantus subcarinatus, both uninfected and infected by trematodes, was compared to determine if di¡erent trematode species induce di¡erent degrees of alteration in host shell shape. Snails harbouring either the echinostomatid Acanthoparyphium sp., or a double infection by the microphallid Maritrema novaezealandensis and an undescribed philophthalmid specie...

We present a review of the classical proximal point method for nding zeroes of maximal monotone operators, and its application to augmented Lagrangian methods, including a rather complete convergence analysis. Next we discuss the generalized proximal point methods, either with Bregman distances or -divergences, which in turn give raise to a family of generalized augmented Lagrangians, as smooth...

Di erent representations of imprecise probabilities have been proposed, where interval-valued probabilities are used such that uncertainty is distinguished from variability. In this paper, we present a new form of imprecise probabilities for reliability assessment based on generalized intervals. Generalized intervals have group properties under the Kaucher arithmetic, which provides a concise r...

We describe some new algorithm and heuristics for computing the polynomial and rational solutions of bounded degree of a class of ordinary di erential equations, which includes generalized Riccati equations. As a consequence, our methods can be used for factoring linear ordinary di erential equations. Since they generate systems of algebraic equations in at most n unknowns, where n is the order...

The distribution of nicotinic acetylcholine receptor (AChR) clusters at the cell membrane was studied in CHO-K1/A5 cells using fluorescence microscopy. Di-4-ANEPPDHQ, a fluorescent probe that differentiates between liquid-ordered (Lo) and liquid-disordered (Ld) phases in model membranes, was used in combination with monoclonal anti-AChR antibody labeling of live cells, which induces AChR cluste...

Generalized speedup is de ned as parallel speed over sequential speed. In this paper the generalized speedup and its relation with other existing performance metrics, such as traditional speedup, e ciency, scalability, etc., are carefully studied. In terms of the introduced asymptotic speed, we show that the di erence between the generalized speedup and the traditional speedup lies in the de ni...