An estimate of the QCD corrections to the decay Z --> W u d

We present an estimate of perturbative QCD corrections to the decay $Z \to Wu\bar d$. A simple approximate approach is described in detail. The difference of masses of $M_Z$ and $M_W$ is used as an expansion parameter. A complete analytical formula for a part of the corrections is also presented.Comment: 9 pages, late

The Future of Institutional Repositories at Small Academic Institutions: Analysis and Insights

Institutional repositories (IRs) established at universities and academic libraries over a decade ago, large and small, have encountered challenges along the way in keeping faith with their original objective: to collect, preserve, and disseminate the intellectual output of an institution in digital form. While all institutional repositories have experienced the same obstacles relating to a lack of faculty participation, those at small universities face unique challenges. This article examines causes of low faculty contribution to IR content growth, particularly at small academic institutions. It also offers a first-hand account of building and developing an institutional repository at a small university. The article concludes by suggesting how institutional repositories at small academic institutions can thrive by focusing on classroom teaching and student experiential learning, strategic priorities of their parent institutions

How to Defeat W\"{u}thrich’s Abysmal Embarrassment Argument against Space-Time Structuralism

In his 2009 PSA Recent Ph.D. Award winning contribution to the bi-annual PSA Conference at Pittsburgh in 2008, C. Wu ̈thrich mounted an argument against struc- turalism about space-time in the context of the General Theory of Relativity (GTR), to the effect that structuralists cannot discern space-time points. An “abysmal embarrass- ment” for the structuralist, Wu ̈thrich judged. Wu ̈thrich’s characterisation of space-time structuralism is however incorrect. We demonstrate how, on the basis of a correct char- acterisation of space-time structuralism, it is possible to discern space-time points in the GTR-structures under consideration. Thus Wu ̈thrich’s argument crumbles

ON NEWTON-RAPHSON METHOD

Recent versions of the well-known Newton-Raphson method for solving algebraic equations are presented. First of these is the method given by J. H. He in 2003. He reduces the problem to solving a second degree polynomial equation. However He’s method is not applicable when this equation has complex roots. In 2008, D. Wei, J. Wu and M. Mei eliminated this deficiency, obtaining a third order polynomial equation, which has always a real root. First of the authors of present paper obtained higher order polynomial equations, which for orders 2 and 3 are reduced to equations given by He and respectively by Wei-Wu-Mei, with much improved form. In this paper, we present these methods. An example is given.newton-raphson

Non-minimal Wu-Yang wormhole

We discuss exact solutions of three-parameter non-minimal Einstein-Yang-Mills model, which describe the wormholes of a new type. These wormholes are considered to be supported by SU(2)-symmetric Yang-Mills field, non-minimally coupled to gravity, the Wu-Yang ansatz for the gauge field being used. We distinguish between regular solutions, describing traversable non-minimal Wu-Yang wormholes, and black wormholes possessing one or two event horizons. The relation between the asymptotic mass of the regular traversable Wu-Yang wormhole and its throat radius is analysed.Comment: 9 pages, 2 figures, typos corrected, 2 references adde

Bounds for the Ratios of Differences of Power Means in Two Arguments

Using methods from classical analysis, sharp bounds for the ratio of differences of Power Means are obtained. Our results generalize and extend previous ones due to S. Wu(2005), and to S. Wu and L. Debnath.Comment: 1 figur

Correcting Things as Correcting Feelings: A Phenomenological Study of Wang Yang-ming’s Doctrine of Ge-Wu

This article is designed to offer a phenomenological reading of Wang Yang-ming’s (王陽明) doctrine of ge-wu (格物), which, as a part of Wang radical reading of The Great Learning (Da-Xue 大學), distinguishes his doctrine from that of Zhu Xi (朱熹). Wang argues that ge-wu, as rectifying things, is the same process with the act of cheng-yi (誠意), in which yi (意) and wu (物) form a relation of intentionality in Edmund Husserl’s sense. Since for Wang, what can be made sincere are emotional yi such as liking and disliking, Husserl\u27s phenomenology on emotional intentionality will be used in this article. The emotional intentionality is the unity of emotional noeses and valued noemata. For Wang, ge-wu is to change a wu improperly valued into a proper one, which is the same process of rectifying an immoral yi into a moral one

A posteriori estimates for Euler and Navier-Stokes equations

The first two sections of this work review the framework of [6] for approximate solutions of the incompressible Euler or Navier-Stokes (NS) equations on a torus T^d, in a Sobolev setting. This approach starts from an approximate solution u_a of the Euler/NS Cauchy problem and, analyzing it a posteriori, produces estimates on the interval of existence of the exact solution u and on the distance between u and u_a. The next two sections present an application to the Euler Cauchy problem, where u_a is a Taylor polynomial in the time variable t; a special attention is devoted to the case d=3, with an initial datum for which Behr, Necas and Wu have conjectured a finite time blowup [1]. These sections combine the general approach of [6] with the computer algebra methods developed in [9]; choosing the Behr-Necas-Wu datum, and using for u_a a Taylor polynomial of order 52, a rigorous lower bound is derived on the interval of existence of the exact solution u, and an estimate is obtained for the H^3 Sobolev distance between u(t) and u_a(t).Comment: AUTHORS' NOTE. In Sect.s 1 and 2, some overlap with our previous works on the Euler/NS equations (arXiv:1203.6865, arXiv:0709.1670, arXiv:0909.3707, arXiv:1009.2051, arXiv:1104.3832, arXiv:1007.4412, arXiv:1304.2972). These overlaps aim to make the present paper self-contained, and do not involve the main results of Sect.s 3, 4. To appear in the Proceedings of Hyp 201