Self-organizing search lists using probabilistic back-pointers

A class of algorithms is given for maintaining self-organizing sequential search lists, where the only permutation applied is to move the accessed record of each search some distance towards the front of the list. During searches, these algorithms retain a back-pointer to a previously probed record in order to determine the destination of the accessed record's eventual move. The back-pointer does not traverse the list, but rather it is advanced occationally to point to the record just probed by the search algorithm. This avoids the cost of a second traversal through a significant portion of the list, which may be a significant savings when each record access may require a new page to be brought into primary memory. Probabilistic functions for deciding when to advance the pointer are presented and analyzed. These functions demonstrate average case complexities of measures such as asymptotic cost and convergence similar to some of the more common list update algorithms in the literature. In cases where the accessed record is moved forward a distance proportional to the distance to the front of the list, the use of these functions may save up to 50% of the time required for permuting the list

Generation of optimal binary split trees

A binary split tree is a search structure combining features of heaps and binary search trees. Building an optimal binary split tree was originally conjectured to be intractable due to difficulties in applying dynamic programming techniques to the problem. However, two algorithms have recently been published which purportedly generate optimal trees in O(n^5) time, for records with distinct access probabilities. An extension allowing non-distinct access probabilities required exponential time. These algorithms consider a range of values when only a single value is possible, and may select an infeasible value which leads to an incorrect result. A dynamic programming method for determining the correct value is given, resulting in an algorithm which builds an optimal binary split tree in O(n^5) time for non-distinct access probabilities and Θ(n^4) time for distinct access probabilities

Time-dependence in Relativistic Collisionless Shocks: Theory of the Variable "Wisps" in the Crab Nebula

We describe results from time-dependent numerical modeling of the collisionless reverse shock terminating the pulsar wind in the Crab Nebula. We treat the upstream relativistic wind as composed of ions and electron-positron plasma embedded in a toroidal magnetic field, flowing radially outward from the pulsar in a sector around the rotational equator. The relativistic cyclotron instability of the ion gyrational orbit downstream of the leading shock in the electron-positron pairs launches outward propagating magnetosonic waves. Because of the fresh supply of ions crossing the shock, this time-dependent process achieves a limit-cycle, in which the waves are launched with periodicity on the order of the ion Larmor time. Compressions in the magnetic field and pair density associated with these waves, as well as their propagation speed, semi-quantitatively reproduce the behavior of the wisp and ring features described in recent observations obtained using the Hubble Space Telescope and the Chandra X-Ray Observatory. By selecting the parameters of the ion orbits to fit the spatial separation of the wisps, we predict the period of time variability of the wisps that is consistent with the data. When coupled with a mechanism for non-thermal acceleration of the pairs, the compressions in the magnetic field and plasma density associated with the optical wisp structure naturally account for the location of X-ray features in the Crab. We also discuss the origin of the high energy ions and their acceleration in the equatorial current sheet of the pulsar wind.Comment: 13 pages, 4 figures, accepted to ApJ. High-resolution figures and mpeg movies available at http://astron.berkeley.edu/~anatoly/wisp

Stock Market Indices: A Principal Components Analysis

This paper investigates a widely quoted stock market index, the Dow Jones Industrial Average (hereafter DJI), and constructs some alternative indices. Their performances are compared to the DJI. The question of applying the indices to problems of portfolio selection is explored when investors’ utility functions are quadratic in the rate of return. By constructing indices from data collected in different time periods, some conclusions are drawn about the constancy of price and rate of return covariance and correlation matrices of the 30 Dow Jones Industrial stocks over time

Results of heat transfer tests on sharp and spherically blunted 4 deg half angle conical models in a plasma jet and in a hypervelocity wind tunnel

Heat transfer tests on sharp and spherically blunted conical graphite nose cones in plasma jet and in hypervelocity wind tunne

The Crab Nebula's Wisps in Radio and Optical

We present four new, high-resolution VLA radio images of the Crab nebula, taken between 2001 Feb. and Apr. The radio images show systematic variability in the Crab's radio emission throughout the region near the pulsar. The principal geometry of the variable features is that of elliptical ripples very similar to the optical wisps. The radio wisps are seen to move systematically outward with projected speeds of up to 0.3c. Comparing the new radio images to our earlier ones from 1998 and 2000, we show there are also more slowly moving features somewhat farther away from the pulsar. In particular, there is a prominent moving feature to the northwest of the pulsar which has a projected speed of order 10,000 km/s. Striation is seen throughout the nebula, suggesting the presence of wave-like disturbances propagating through the synchrotron bubble. The radio images were taken simultaneously with HST optical observations. Comparing the radio to the optical images, we find that the radio wisps are sometimes displaced from the optical ones or have no optical counterparts. We also find that some optical wisps in particular, the brightest optical wisps near the pulsar, do not seem to have radio counterparts. In the exterior of the nebula, by contrast, there is generally a good correspondence between the radio and optical features.Comment: LaTeX, 15 pages, 6 figures, Fig. 4 in colour. Supplementary material: mpeg animations accompanying Figs. 1 and 3 (download source from "other formats" to get mpegs). Accepted for publication in the Astrophysical Journal Typos fixed from previous versio

Viability of optical tracking systems for monitoring deformations of a long span bridge

Authors' manuscript. Paper presented at 6th European Conference on Structural Control (EACS 2016); July 11th - July 13th 2016 - Sheffield, England.Characterisation of both dynamic and quasi-static deformations of suspension bridges is essential to manage their serviceability and to appreciate the internal forces due to the various live loads effects of wind, temperature and traffic. GPS is commonly used for the largest, most flexible structures but the limitations are not well understood and accelerometers cannot capture the extreme low frequency movements. Optical displacement tracking has potential to avoid all these errors but has different types of limitation that need to be evaluated and mitigated. In attempt to cross-validate optical tracking technology against GPS data, a commercial optical system the Imetrum ‘Video Gauge’ was used at Humber Bridge, after first initial experiments on a short span bridge to identify the most effective way to deploy it in the field for measurements at very long range. Some results are presented illustrating the character of the observed deformations and the limitations of the various forms of deformation monitoring instrumentation. In particular limitations of GPS were highlighted through comparison with Video Gauge and accelerometer data.The research leading to these results has received funding from the People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme (FP7/2007-2013) under grant agreement n° 330195. The authors would also like to acknowledge the support of the Bridge Design Group of Devon County Council, led by Kevin Dentith, and Humber Bridge Board

Evaluating a video gauge for deformation measurements of two UK long span bridges

Technical program paper presented at Breakout Session 5B: Structural Health Monitoring, Tuesday June 21st 2016. The 9th International Cable Supported Bridge Operator’s Conference Halifax, Nova Scotia, Canada June 19-22, 2016 icsboc2016.comFull technical program papers available via: http://icsboc2016.com/technical-program/Bridge deformation measurements provide, through time and space derivatives, a rich set of information on cable stayed bridge (CSB) performance. Direct measurements of deformation of major components of CSBs i.e. deck, pylons, cables, are difficult due to problems with access and reference points. Compared to use of GPS and accelerometers which have more fundamental limitations, optical measurements offer many advantages such as multi-target tracking with limitations on resolution and accuracy in space and time being steadily eroded through developments in software capabilities. Hence we have revisited a research technology initially developed to monitor the Humber Bridge in 1990 and which now, in the form of a robust combination of hardware and Video Gauge software, provides a robust and effective solution for field monitoring