Participants: 35 533 men ≥ 55 years of age (≥ 50 y if African American) (median age 62 y) who had no previous prostate cancer diagnosis, serum prostate-specific antigen level ≥ 4 ng/mL, negative digital rectal examination, no current use of anticoagulant therapy, no history of hemorrhagic stroke, and normal blood pressure. Intervention: Selenium, 200 μg/d, plus placebo for vitamin E (n = 8910);...

In a note' published in volume 21 of these PROCEEDINGS I gave necessary and sufficient conditions for convergence factors in simply infinite series summable by N6rlund means. The purpose of the present note is to furnish analogous results for double series. We are given a doubly infinite set of complex constants cij (i, j = 0, 1, 2, 3, .. .), where coo 0 0 and Zc,ix'y' is convergent for I x I <...

Chromosome pairing and synapsis during meiotic prophase requires the formation and repair of DNA double-strand breaks (DSBs) by the topoisomerase-like enzyme SPO11. Chromosomes, or chromosomal regions, that lack a pairing partner, such as the largely heterologous X and Y chromosomes, show delayed meiotic DSB repair and are transcriptionally silenced. Herein, we review meiosis-specific aspects o...

We analyze Neuberger’s double pass algorithm for the matrix-vector multiplication R(H) · Y (where R(H) is (n − 1, n)-th degree rational polynomial of positive definite operator H), and show that the number of floating point operations is independent of the degree n, provided that the number of sites is much larger than the number of iterations in the conjugate gradient. This implies that the ma...

We study theoretically the formation of a double radio-optical resonance (DROR) in 87Rb vapour in a cell with an anti-relaxation coating. We develop a quantum-kinetic approach to the study of the Dicke narrowing. We examine various DROR schemes for different polarizations of the laser radiation. We find that the short-term stability σ y of a DROR-based frequency standard improves significantly ...

-In this paper, the asymptotic bit operation cost of a family of quadrature formulas, especially suitable for evaluation of improper integrals, is studied. More precisely, we consider the family of quadrature formulas obtained by applying k times the variable transformation x : sinh(y) and then the trapezoidal rule to the transformed integral. We prove that, if the integrand function is analyti...

Let X be a K3 surface which is intersection of three (a net P) of quadrics in P. The curve of degenerate quadrics has degree 6 and defines a double covering of P K3 surface Y ramified in this curve. This is the classical example of a correspondence between K3 surfaces which is related with moduli of vector bundles on K3 studied by Mukai. When general (for fixed Picard lattices) X and Y are isom...

Let X be a K3 surface which is intersection of three (i.e. a net P) of quadrics in P. The curve of degenerate quadrics has degree 6 and defines a natural double covering Y of P ramified in this curve which is again a K3. This is a classical example of a correspondence between K3 surfaces which is related with moduli of sheaves on K3’s studied by Mukai. When general (for fixed Picard lattices) X...

(b) Give a general real solution of the homogeneous equation Ly = 0. Solution. A general solution is y = c1e −2t cos(3t) + c2e −2t sin(3t) + c3 cos(7t) + c4 sin(7t) + c5t cos(7t) + c6t sin(7t) + c7e 5t + c8t e 5t + c9t e + c10e −3t + c11 + c12t . The reasoning is as follows: • the single conjugate pair −2± i3 yields e cos(3t) and e sin(3t); • the double conjugate pair ±i7 yields cos(7t) , sin(7...

We have built and tested a 3.5 m high-finesse Fabry-Perot prototype inteferometer with a precision ellipsometer for the QED test and axion search (Q & A) experiment. We use X-pendulum-double-pendulum suspension designs and automatic control schemes developed by the gravitational-wave detection community. Verdet constant and Cotton-Mouton constant of the air are measured as a test. Double modula...