Numerical precision radiative corrections to the Dalitz plot of baryon semileptonic decays including the spin-momentum correlation of the decaying and emitted baryons

We calculate the radiative corrections to the angular correlation between the polarization of the decaying and the direction of the emitted spin one-half baryons in the semileptonic decay mode. The final results are presented, first, with the triple integration of the bremsstrahlung photon ready to be performed numerically and, second, in an analytical form. A third presentation of our results in the form of numerical arrays of coefficients to be multiplied by the quadratic products of form factors is discussed. This latter may be the most practical one to use in Monte Carlo simulations. A series of crosschecks is performed. Previous results to order (alpha/pi)(q/M_1) for the decays of unpolarized baryons are reviewed, too, where q is the momentum transfer and M_1 is the mass of the decaying baryon. This paper is self-contained and organized to make it accessible and reliable in the analysis of the Dalitz plot of precision experiments involving heavy quarks and is not compromised to fixing the form factors at predetermined values. It is assumed that the real photons are kinematically discriminated. Otherwise, our results have a general model-independent applicability.Comment: 34 pages, 4 tables, no figures. Some sections have been shortened. Conclusions remain unchange

Generalizing Boolean Satisfiability I: Background and Survey of Existing Work

This is the first of three planned papers describing ZAP, a satisfiability engine that substantially generalizes existing tools while retaining the performance characteristics of modern high-performance solvers. The fundamental idea underlying ZAP is that many problems passed to such engines contain rich internal structure that is obscured by the Boolean representation used; our goal is to define a representation in which this structure is apparent and can easily be exploited to improve computational performance. This paper is a survey of the work underlying ZAP, and discusses previous attempts to improve the performance of the Davis-Putnam-Logemann-Loveland algorithm by exploiting the structure of the problem being solved. We examine existing ideas including extensions of the Boolean language to allow cardinality constraints, pseudo-Boolean representations, symmetry, and a limited form of quantification. While this paper is intended as a survey, our research results are contained in the two subsequent articles, with the theoretical structure of ZAP described in the second paper in this series, and ZAP's implementation described in the third

Generalizing Boolean Satisfiability II: Theory

This is the second of three planned papers describing ZAP, a satisfiability engine that substantially generalizes existing tools while retaining the performance characteristics of modern high performance solvers. The fundamental idea underlying ZAP is that many problems passed to such engines contain rich internal structure that is obscured by the Boolean representation used; our goal is to define a representation in which this structure is apparent and can easily be exploited to improve computational performance. This paper presents the theoretical basis for the ideas underlying ZAP, arguing that existing ideas in this area exploit a single, recurring structure in that multiple database axioms can be obtained by operating on a single axiom using a subgroup of the group of permutations on the literals in the problem. We argue that the group structure precisely captures the general structure at which earlier approaches hinted, and give numerous examples of its use. We go on to extend the Davis-Putnam-Logemann-Loveland inference procedure to this broader setting, and show that earlier computational improvements are either subsumed or left intact by the new method. The third paper in this series discusses ZAPs implementation and presents experimental performance results

“The Dog Ate My Homework”: Embracing Risk in the Chilling Climate of No Excuses Schools

I realize that this title is both provocative and potentially very puzzling in the current environment of educational policy and reform. Many would ask: Haven’t we already risked too much? Indeed, haven’t we identified ourselves as an entire Nation at Risk, with an increasing number of students labeled at-risk

Waiting for Superman: He’s “Adequate” and Near Proficient!

In the second week of its national release, the documentary film Waiting for Superman-- about America’s so-called “failing” public school system-- jumped from number 194 in gross receipts to number 20 (Entertainment Weekly, 2010). It couldn’t have hurt that the film was featured as a cover story by Amanda Ripley (2010) in Time magazine only a few weeks earlier, with the provocative tag line: “Can a movie change education?” (Ripley, 2010). Or for that matter, that the film was lauded on The Oprah Winfrey Show (2010), during the course of which Oprah, so moved by the movie, pledged to give $6,000,000 (via her Angel Network) to charter schools across the country

WILLS-VALIDITY OF CONDITION AGAINST CONTEST-CONTEST BY MINOR

Defendant, a minor, contested his mother\u27s will which provided that if a beneficiary should make any effort to invalidate or alter the will, the provisions made for such person should be void. Defendant\u27s father, who had been appointed guardian ad litem, filed notice of contest and petitioned the probate court that the general guardian be compelled to contest the will. After hearing, it was so ordered, and a will contest was held in the circuit court, in which mental incompetency and undue influence were alleged. The contest being unsuccessful, the will was admitted to probate. Plaintiff, as executrix and beneficiary, unsuccessfully sought a decree that she was entitled to the entire estate, on the ground that defendant, the only other beneficiary, had disqualified himself to take by contesting the will. On appeal, held, affirmed. The condition against contest was void against a minor as tending to deprive the probate court of its duty to protect the interests of minors. Farr v. Whitefield, (Mich.1948) 33 N.W. (2d) 791