The paper extends the applicability of our Matlab package Chebpack to find (generalized) Chebyshev polynomial approximations of the solutions of some Abel integral equations with algebraic singularities. Numerical examples confirm the efficiency of this approach.

We prove certain optimal systolic inequalities for a closed Riemannian manifold (X, g), depending on a pair of parameters, n and b. Here n is the dimension of X , while b is its first Betti number. The proof of the inequalities involves constructing Abel-Jacobi maps from X to its Jacobi torus T, which are area-decreasing (on b-dimensional areas), with respect to suitable norms. These norms are ...

In most medical AI programs, the use of notions such as causal relationships, temporal patterns, and aggregate disease categories has been limited. Yet studies of clinicians' behavior reveal that a diagnostic or therapeutic program must consider a case at various levels of detail to integrate overall understanding with detailed knowledge. To explore these issues, Ramesh Patil, Peter Szolovits, ...

In this article we present a new method for reconstructing three-dimensional ~3D! images with cylindrical symmetry from their two-dimensional projections. The method is based on expanding the projection in a basis set of functions that are analytical projections of known well-behaved functions. The original 3D image can then be reconstructed as a linear combination of these well-behaved functio...

This note describes examples of all possible equality and strict inequality relations between upper and lower Abel and Cesàro limits of sequences bounded above or below. It also provides applications to Markov Decision Processes.

We prove some general density statements about the subgroup of invertible points on intermediate jacobians; namely those points in the Abel-Jacobi image of nullhomologous algebraic cycles on projective algebraic manifolds.

In this issue of Blood, Abel et al designed lentiviral vectors (LVs) enabling specific gene delivery into endothelial cells in vivo. This opens new perspectives for gene therapy of hereditary disorders, cardiovascular diseases, and cancer.

The image of Abel–Jacobi embedding of a hyperelliptic Riemann surface of genus less than 5 to its Jacobian is the intersection of several shifted theta divisors with carefully chosen shifts. c ⃝ 2014 Elsevier Inc. All rights reserved.

On December 3, 2012, following the Third Abel conference, in honor of Endre Szemerédi, Terence Tao posted on his blog a proof of the spectral version of Szemerédi’s regularity lemma. This, in turn, proves the original version.

One of the most efficient methods to obtain the vacuum expectation values for the physical observables in the Casimir effect is based on using the Abel-Plana summation formula. This allows to derive the regularized quantities by manifestly cutoff independent way and to present them in the form of strongly convergent integrals. However the application of Abel-Plana formula in usual form is restr...