84,314 research outputs found
A better proof of the Goldman-Parker conjecture
The Goldman-Parker Conjecture classifies the complex hyperbolic C-reflection
ideal triangle groups up to discreteness. We proved the Goldman-Parker
Conjecture in [Ann. of Math. 153 (2001) 533--598] using a rigorous
computer-assisted proof. In this paper we give a new and improved proof of the
Goldman-Parker Conjecture. While the proof relies on the computer for extensive
guidance, the proof itself is traditional.Comment: Published by Geometry and Topology at
http://www.maths.warwick.ac.uk/gt/GTVol9/paper35.abs.htm
The Impact of Podcasts in Education
This article will be covering the impact of podcasts in education. Multimedia has been apart of education and classroom environments for over 40 years. With the recent rise in podcast creators and consumers, it is natural that this aspect of media would also spread into education. The use of podcasts in education is controversial, one side argues that podcasts have no place in education and are merely a distraction. The same was said about PowerPoint presentations and in-class videos at one point of time, however multimedia in the classroom has become the new norm. This article will provide the argument of how podcasts are beneficial in education in multiple ways. Specifically, podcasts can be used as a teaching resource by teachers, a learning resource by students, and a preparation tool for teacher candidates
A note related to the CS decomposition and the BK inequality for discrete determinantal processes
We prove that for a discrete determinantal process the BK inequality occurs
for increasing events generated by simple points. We give also some elementary,
but nonetheless appealing relationship, between a discrete determinantal
process and the well-known CS decomposition.Comment: To appear in Journal of Applied Probabilit
Riggs on strong justification
In 'The Weakness of Strong Justification' Wayne Riggs claims that the requirement that justified beliefs be truth conducive (likely to be true) is not always compatible with the requirement that they be epistemically responsible (arrived at in an epistemically responsible manner)1. He supports this claim by criticising Alvin Goldman's view that if a belief is strongly justified, it is also epistemically responsible. In light of this, Riggs recommends that we develop two independent conceptions of justification, one that insists upon the requirement that beliefs be truth conducive and another that insists that they be epistemically responsible. It will then, on his view, be possible to properly evaluate beliefs with regard to each conception of justification. Riggs, however, is mistaken in supposing that the two epistemic requirements are independent. If a belief is responsibly arrived at, it is therefore likely to be true. He is thus also mistaken in supposing that the two epistemic requirements are incompatible. This mistake arises because Riggs assumes that justification is possible or, at least, that it involves standards that are akin to our own. Moreover, once this assumption is made explicit, we can see why a notion of justification that connects epistemic practice with likely truth is significant
Outfitting a Born-Digital Archives Program
Archival repositories that intend to develop programmatic solutions for managing and preserving born-digital holdings will need to establish a dedicated computer workstation (and related devices) to support responsible capture, transfer, appraisal, and preservation steps. This brief examination provides baseline recommendations for implementing and equipping a dedicated Windows-based PC workstation
No-Lose `Theorem' for Parity Violating Nucleon-Nucleon Scattering Experiments
A purely left-chiral model of the weak interactions is used to show that the
total parity-violating asymmetry in quark-quark scattering must grow with
increasing energy. In the absence of other new physics, non-observation of a
large asymmetry can therefore be used to infer an upper bound on the mass scale
for new right-chiral weak vector bosons. Applying this idea to actual
nucleon-nucleon scattering requires more involved calculations, as the dominant
contribution appears to come from a component of diquark-quark scattering
related to, but not identical to, wavefunction-mixing. Earlier criticism of
this model by Simonius and Unger is refuted and a new calculation is proposed
as an additional check on the result. Finally, we argue that the so-called
`spin crisis' does not affect our conclusions. (Talk given at the BNL workshop
on future directions in particle and nuclear physics at multi-GeV hadron beam
facilities, March 4--6, 1993.)Comment: 8 pages, LaTeX, Los Alamos preprint LA-UR-93-153
Physical Degrees of Freedom for Gauge Fields and the Issue of Spin
The conflict between the physical degrees of freedom of gauge bosons and the
Lorentz group irreps naturally used to describe their couplings to matter
fields are illustrated and discussed, and applied to issues of linear and
angular momentum.Comment: 10pp., no figures, to appear in PACSpin2011 (Cairns, 20-24 June,
2011) conf. proc. (AIP
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