Local load sharing fiber bundles with a lower cutoff of strength disorder

We study the failure properties of fiber bundles with a finite lower cutoff of the strength disorder varying the range of interaction between the limiting cases of completely global and completely local load sharing. Computer simulations revealed that at any range of load redistribution there exists a critical cutoff strength where the macroscopic response of the bundle becomes perfectly brittle, i.e. linearly elastic behavior is obtained up to global failure, which occurs catastrophically after the breaking of a small number of fibers. As an extension of recent mean field studies [Phys. Rev. Lett. 95, 125501 (2005)], we demonstrate that approaching the critical cutoff, the size distribution of bursts of breaking fibers shows a crossover to a universal power law form with an exponent 3/2 independent of the range of interaction.Comment: 4 pages, 4 figure

Matched Filtering of Numerical Relativity Templates of Spinning Binary Black Holes

Tremendous progress has been made towards the solution of the binary-black-hole problem in numerical relativity. The waveforms produced by numerical relativity will play a role in gravitational wave detection as either test-beds for analytic template banks or as template banks themselves. As the parameter space explored by numerical relativity expands, the importance of quantifying the effect that each parameter has on first the detection of gravitational waves and then the parameter estimation of their sources increases. In light of this, we present a study of equal-mass, spinning binary-black-hole evolutions through matched filtering techniques commonly used in data analysis. We study how the match between two numerical waveforms varies with numerical resolution, initial angular momentum of the black holes and the inclination angle between the source and the detector. This study is limited by the fact that the spinning black-hole-binaries are oriented axially and the waveforms only contain approximately two and a half orbits before merger. We find that for detection purposes, spinning black holes require the inclusion of the higher harmonics in addition to the dominant mode, a condition that becomes more important as the black-hole-spins increase. In addition, we conduct a preliminary investigation of how well a template of fixed spin and inclination angle can detect target templates of arbitrary spin and inclination for the axial case considered here

Accounting in the furniture and woodworking industries, designed in combination with General factory accounting by the same author to afford a definite standard of practice in the industries referred to in the title

This book is intended to supplement General Factory Accounting, in which, without reference to particular lines of industry, are set forth the author\u27s general methods of book and record keeping. The purpose of the present book is to illustrate, in detail, the manner of employing those general methods in, as well as to describe and explain the results to be accomplished by the employment of such additional methods as are peculiar to, accounting practice in the furniture and woodworking industries. Originally it was proposed to cover the entire work in a single volume, but, upon mature deliberation, the impossibility of doing this, without running the risk of leaving the average reader more confused than enlightened, became apparent. Accounting in the industries here referred to entails the employment of every method described in the earlier work. In illustrating the employment of these general methods in those industries, and in describing and illustrating the use of the additional methods which the peculiarities of the industries referred to render desirable, the author has gone into more minute detail than he would have felt warranted, had he attempted simultaneously to explain general and special methods. The reader will be best served by taking up the subjects of principle and general practice in the perusal of General Factory Accounting before beginning the study of special methods and their application as these are treated in this book

30=20: Understanding Maximum Sentence Enhancements

In this article, Professor Herrmann argues that the due process protections of a criminal trial should apply to aggravating factors that under current “maximum-enhancing statutes” allow judges to impose lengthier punishments in the sentencing phase. Part I considers the Supreme Court\u27s rationale for refusing to apply full due process safeguards to all types of sentencing schemes. This background will reveal the unique quality of maximum-enhancing statutes and establish why the due process protections of a criminal trial should apply to sentencing under maximum-enhancing statutes. Part I, therefore, undertakes to explain courts\u27 rationales to deny criminal defendants full criminal due process under discretionary sentencing, mandatory minimum sentencing, and guideline sentencing. Part II focuses on maximum-enhancing statutes. It isolates and analyzes the courts\u27 rationales for denying criminal defendants full criminal due process under them. Part II argues that no convincing rationale justifies reduced due process for minimum-enhancing statutes, no matter what one\u27s views of the due process reasoning underlying other sentencing structures. Part III will argue that, if courts applied full criminal due process protection to maximum-enhancing factors, it is unlikely that legislatures would try to avoid the safeguards by artful drafting of criminal statutes. The Article will conclude that courts should apply the full protections appropriate to a criminal trial to findings that enhance a maximum sentence

Towards beating the curse of dimensionality for gravitational waves using Reduced Basis

Using the Reduced Basis approach, we efficiently compress and accurately represent the space of waveforms for non-precessing binary black hole inspirals, which constitutes a four dimensional parameter space (two masses, two spin magnitudes). Compared to the non-spinning case, we find that only a {\it marginal} increase in the (already relatively small) number of reduced basis elements is required to represent any non-precessing waveform to nearly numerical round-off precision. Most parameters selected by the algorithm are near the boundary of the parameter space, leaving the bulk of its volume sparse. Our results suggest that the full eight dimensional space (two masses, two spin magnitudes, four spin orientation angles on the unit sphere) may be highly compressible and represented with very high accuracy by a remarkably small number of waveforms, thus providing some hope that the number of numerical relativity simulations of binary black hole coalescences needed to represent the entire space of configurations is not intractable. Finally, we find that the {\it distribution} of selected parameters is robust to different choices of seed values starting the algorithm, a property which should be useful for indicating parameters for numerical relativity simulations of binary black holes. In particular, we find that the mass ratios $m_1/m_2$ of non-spinning binaries selected by the algorithm are mostly in the interval $[1,3]$ and that the median of the distribution follows a power-law behavior $\sim (m_1/m_2)^{-5.25}$

The effects of clinical hypnosis versus Neurolinguistic Programming (NLP) before External Cephalic Version (ECV) : a prospective off-centre randomised, double-blind, controlled trial

Objective. To examine the effects of clinical hypnosis versus NLP intervention on the success rate of ECV procedures in comparison to a control group. Methods. A prospective off-centre randomised trial of a clinical hypnosis intervention against NLP of women with a singleton breech fetus at or after 370/7 (259 days) weeks of gestation and normal amniotic fluid index. All 80 participants heard a 20-minute recorded intervention via head phones. Main outcome assessed was success rate of ECV. The intervention groups were compared with a control group with standard medical care alone (n=122). Results. A total of 42 women, who received a hypnosis intervention prior to ECV, had a 40.5% (n=17), successful ECV, whereas 38 women, who received NLP, had a 44.7% (n=17) successful ECV (P > 0.05). The control group had similar patient characteristics compared to the intervention groups (P > 0.05). In the control group (n = 122) 27.3% (n = 33) had a statistically significant lower successful ECV procedure than NLP (P = 0.05) and hypnosis and NLP (P = 0.03). Conclusions. These findings suggest that prior clinical hypnosis and NLP have similar success rates of ECV procedures and are both superior to standard medical care alone

Robustness of Binary Black Hole Mergers in the Presence of Spurious Radiation

We present an investigation into how sensitive the last orbits and merger of binary black hole systems are to the presence of spurious radiation in the initial data. Our numerical experiments consist of a binary black hole system starting the last couple of orbits before merger with additional spurious radiation centered at the origin and fixed initial angular momentum. As the energy in the added spurious radiation increases, the binary is invariably hardened for the cases we tested, i.e. the merger of the two black holes is hastened. The change in merger time becomes significant when the additional energy provided by the spurious radiation increases the Arnowitt-Deser-Misner (ADM) mass of the spacetime by about 1%. While the final masses of the black holes increase due to partial absorption of the radiation, the final spins remain constant to within our numerical accuracy. We conjecture that the spurious radiation is primarily increasing the eccentricity of the orbit and secondarily increasing the mass of the black holes while propagating out to infinity.Comment: 12 pages, 12 figure