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ArticleMarchisotto, Elena A.The research of Mario Pieri (1860–1913) can be classified into three main areas: metric differential and algebraic geometry and vector analysis; foundations of geometry and arithmetic; logic and the philosophy of science. In writing this article, I in . . .

ArticleChrist, Carol ShubinThe intersection of the isospectral sets associated to the first two harmonies of the Schrödinger equation, with radial potential, on the ball x ≤ 1 in R^3, with Dirichlet boundary conditions, is locally compact.

ArticleShubin, Carol AnnWe study singularly perturbed Fredholm equations of the second kind. We give sufficient conditions for existence and uniqueness of solutions and describe the asymptotic behavior of the solutions. We examine the relationship between the solutions of th . . .

ArticleLeanos, JesusRecently, Aichholzer, García, Orden, and Ramos derived a remarkably improved lower bound for the number of (⩽k)edges in an npoint set, and as an immediate corollary, an improved lower bound on the rectilinear crossing number of Kn. We use simple all . . .

ArticleMaly, JanMolecularlevel investigation of proteins is increasingly important to researchers trying to understand the mechanisms of signal transmission. Heterotrimeric G proteins control the activation of many critical signal transmission cascades and are also . . .

ArticleWatkins, William E.LetFbe an algebraically closed field of characteristic not 2, and letX=(Xij) be then×nmatrix whose entriesXijare independent indeterminates overF. Now letQ(X)=(qij(X)) be anothern×nmatrix each of whose entriesqij(X) is a quadraticFpolynomial in theXi . . .

ArticleWatkins, William E.For each positive even integerjthere is an infinite arithmetic sequence of dimensionsdfor which we construct ajsimplex of maximum volume in theddimensional unit cube. For fixedd, all of these maximaljsimplices have the same Gram matrix, which is a . . .

ArticleJosyula, EswarWe present a new deterministic approach for the solution of the spatially homogeneous Boltzmann kinetic equation based on nodal discontinuous Galerkin (DG) discretizations in the velocity space. In the new approach the collision operator has the form . . .

ArticleHughes, BarnabasWhat may be the most reliable manuscript copy of the algebra of Master Dardi of Pisa has recently 1986 entered the public domain. This article describes the character and contents of the codex containing the copy. As such it complements an earlier art . . .

ArticleBreen, S.We derive upper and lower bounds to the kth positive zero of the Bessel function of the first kind of order v. These bounds are close to the known asymptotic formulas which are valid only when k or v are very large. Applications are discussed and uppe . . .
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