A redescription of the genus Phalacropsylla Rothschild is provided. Six species are recognized: Phalacropsylla allos Wagner, P. hamata Tipton and Mendez, P. morlani Eads and Campos, P. nivalis Barrera and Traub, P. oregonensis Lewis and Maser, and P. paradisea Rothschild. Phalacropsylla hamata is designated herein as a junior synonym of P. paradisea. The distribution of P. paradisea is more ext...

Keywords: Iterative methods Order of convergence Basin of attraction Extraneous fixed points Weight functions a b s t r a c t In this paper we analyze an optimal eighth-order family of methods based on Mahesh-wari's fourth order method. This family of methods uses a weight function. We analyze the family using the information on the extraneous fixed points. Two measures of closeness of an extra...

It is known (for details see, Traub, Wasilkowski, and Wofniakowski, 1988, “Information-Based Complexity,” Academic Press, New York) that a linear problem with solution operator S: X --f Y in the probabilistic or average case setting has finite e-complexity with respect to a probability measure k iff S E L2(X, CL; Y) or, equivalently, iff I E L2( Y, h 0 S-i; Y) where I denotes the identity opera...

It is well known that the zeros of a polynomial p are equal to the eigenvalues of the associated companion matrix A. In this paper we take a geometric view of the conditioning of these two problems and of the stability of algorithms for polynomial zerofinding. The -pseudozero setZ (p) is the set of zeros of all polynomials p̂ obtained by coefficientwise perturbations of p of size ≤ ; this is a s...

J. J. Sylvester has announced formulas expressing the subresultants (or the successive polynomial remainders for the Euclidean division) of two polynomials, in terms of some double sums over the roots of the two polynomials. We prove Sylvester formulas using the techniques of multivariate polynomials involving multi-Schur functions and divided differences. Introduction and statement of the main...

In this paper we survey several recent results that highlight an interplay between a relatively new class of quasiseparable matrices and polynomials. Quasiseparable matrices generalize two classical matrix classes, Jacobi (tridiagonal) matrices and unitary Hessenberg matrices that are known to correspond to real orthogonal polynomials and Szegö polynomials, resp. The latter two polynomial famil...

Scoring methods in multiple−choice tests are usually designed as fair bets, and thus random guesswork yields zero expected return. This causes the undesired result of forcing risk averse test−takers to pay a premium in the sense of letting unmarked answers for which they have partial but not full knowledge. In this note I use a calibrated model of prospect theory [Tversky and Kahneman (1992, 19...

We set up a theoretical framework for learning from examples and side information which enables us to compute the tradeoo between the sample complexity and information complexity for learning a target function in a Sobolev functional class F. We use the notion of the n th minimal radius of information of Traub et. al. 23] and combine it with VC-theory to deene a new quantity I n;d (F) which mea...

The coordination of multiple systems presents unique challenges and remains a worthy goal in situations where humans need to project efforts and control over large distances. Particularly challenging problems arise when multiple robots are used in space applications to construct large space structures or to manipulate material. For example, various teleautonomous applications have been proposed...

We thank Debbie Sen, Dr Judith Rankin, and Marjorie Renwick of the Regional Maternity Survey Office, Newcastle upon Tyne for their help in compiling the Northern region data and Vicki Ashton of Teesside University for statistical advice. Contributors: GH had the original idea for the study and coordinated the data analysis. LMI supplied the data from Norway. RTL supplied the statistical experti...