We investigate the degree to which the scaling functions F (ψ ′) derived from cross sections for inclusive electron-nucleus quasi-elastic scattering define the same function for different nuclei. In the region where the scaling variable ψ ′ < 0, we find that this superscaling is experimentally realized to a high degree.

High school course-taking plays a critical role in shaping K-12 and post-secondary educational outcomes. Previous educational research often quantifies coursework in a qualitative manner. This research introduces institutional researchers to the use of a profile analysis method with an application of Profile Analysis via Multidimensional Scaling (PAMS) for identifying high school coursework pat...

The TriVis algorithm for visualization of multidimensional data proximities in two dimensions is presented. The algorithm preserves maximum number of exact distances, has simple interpretation, and unlike multidimensional scaling (MDS) does not require costly minimization. It may also provide an excellent starting point significantly reducing the number of required iterations in MDS.

Algorithmic historiography was proposed by Eugene Garfield in collaboration with Irving Sher in the 1960s, but further developed only recently into HistCiteTM with Alexander Pudovkin. As in history writing, HistCiteTM reconstructs by drawing intellectual lineages. In addition to cited references, however, documents can be attributed a multitude of other variables such as title words, keywords, ...

This paper introduces a new method for analyzing scaling phenomena in natural images and draws some consequences as to whether natural images belong to the space of functions with bounded variation

The statistical resolution limit (SRL), which is defined as the minimal separation between parameters to allow a correct resolvability, is an important statistical tool to quantify the ultimate performance for parametric estimation problems. In this article, we generalize the concept of the SRL to the multidimensional SRL (MSRL) applied to the multidimensional harmonic retrieval model. In this ...

x+τ (x) for some λ, μ > 0 and τ (x) = O(|x|). Here the processes are indexed so that the variance of the fluctuations of X t is inversely proportional toN . The simplest example arises from the OK Corral gunfight model which was formulated byWilliams and McIlroy (1998) and studied by Kingman (1999). These processes exhibit their most interesting behaviour at times of order logN so it is necessa...

I give a review and progress report on studies of lattice QED. I emphasize analytical results and methods that are applied in data analysis. Also, I derive some bounds for the critical exponents and establish their connection with scaling violations. Triviality, as realized in φ theory, is ruled out on theoretical grounds. I show that the present data, if analyzed correctly, all lead to the sam...

where the minimum is taken over all n-element point sets with minimum distance one. In particular, he asked if this sum can be made arbitrarily small. This choice of function to be minimized may at first appear to be capricious. Suppose, however, that we fix d1 = 1 (which we may assume by a simple scaling argument) and the diameter D = dm. Then if the numbers di could be chosen arbitrarily, ∑ 1...

Hybrid simulations with electron inertia, along with analytic scaling arguments, are presented which demonstrate that magnetic reconnection remains Alfv6nic in a collisionless system even as the macroscopic scale length of the system becomes very large. This fast reconnection is facilitated by the whistler physics present near the x-line. The reconnection rate is found to be a universal constan...