From the Departments of Neurology and Pathology, Cornell University Medical College, New York, N. 1. Supported in part by Research Grants HE-04872 and NB-03346, NB-04161 from USPHS and from the Winthrop Laboratories. Dr. Kutt is a recipient of a Research Career Development Award JKO 3 NB 35003, NINDB, USPH. First submitted October 2, 1968; accepted for publication December 13, 1968. KARL VEREBE...

From the Departments of Neurology and Pathology, Cornell University Medical College, New York, N. 1. Supported in part by Research Grants HE-04872 and NB-03346, NB-04161 from USPHS and from the Winthrop Laboratories. Dr. Kutt is a recipient of a Research Career Development Award JKO 3 NB 35003, NINDB, USPH. First submitted October 2, 1968; accepted for publication December 13, 1968. KARL VEREBE...

Throughout this work we deal with a natural number g ≥ 2 and with an algebraically closed field k whose characteristic differs from 2. A hyperelliptic curve of genus g over k is a smooth curve of genus g, that is a double cover of the projective line P. The Riemann-Hurwitz formula implies that this covering should be ramified at 2g + 2 points. Because of this explicit description, hyperelliptic...

In this article we apply signal detection theory to qualitatively unify the intensity justnoticable difference (JND) and masking data of Wegel and Lane (1924), Fletcher and Munson (1933 – 1938), Miller (1947), and Egan and Hake (1950). We do this by treating the loudness as the first moment, and the intensity JND as the second moment, of the random variable we call the single-trial loudness. Fr...

In 1956, Shiffman [Sh] proved that any compact minimal annulus with two convex boundary curves (resp. circles) in parallel planes is foliated by convex planar curves (resp. circles) in the intermediate planes. In 1978, Meeks conjectured that the assumption the minimal surface is an annulus is unnecessary [M]; that is, he conjectured that any compact connected minimal surface with two planar con...

Stimulus-response curves of aortic baroreceptors constructed by alternately increasing and decreasing pressure from a normal baseline or set-point differ from curves constructed by varying pressure in one direction only from an abnormally high or low pressure. In anesthetized dogs we recorded impulses from aortic baroreceptors with myelinated fibers, using a pressurized reservoir to control mea...

1. Introduction. In this paper we study some properties of the special family of Artin–Schreier curves related to the theory of polar curves we developed in [2]. Our goal is to show how this theory can be carried out in concrete situations and also show how it can be used to determine new upper bounds for the number of rational points of projective plane curves over finite fields. The method we...

In earlier work, the second named author described how one may extract Darmonstyle L -invariants from modular forms on Shimura curves that are special at p. In this paper, we show that these L -invariants are preserved by the Jacquet–Langlands correspondence. As a consequence, we prove the second named author’s period conjecture in the case where the base field is Q. As a further application of...

We construct three-dimensional families of hyperelliptic curves of genus 6, 12, and 14, two-dimensional families of hyperelliptic curves of genus 3, 6, 7, 10, 20, and 30, and one-dimensional families of hyperelliptic curves of genus 5, 10 and 15, all of which are equipped with an an explicit isogeny from their Jacobian to another hyperelliptic Jacobian. We show that the Jacobians are genericall...

Abstract We use a Voronoi-type tessellation based on compound Poisson point process to construct polynomially mixing stationary random smooth planar vector field with bounded nonnegative components such that, probability one, none of the associated integral curves possess an asymptotic direction.