Dynamical Inequality in Growth Models

A recent exponent inequality is applied to a number of dynamical growth models. Many of the known exponents for models such as the Kardar-Parisi-Zhang (KPZ) equation are shown to be consistent with the inequality. In some cases, such as the Molecular Beam Equation, the situation is more interesting, where the exponents saturate the inequality. As the acid test for the relative strength of four popular approximation schemes we apply the inequality to the exponents obtained for two Non Local KPZ systems. We find that all methods but one, the Self Consistent Expansion, violate the inequality in some regions of parameter space. To further demonstrate the usefulness of the inequality, we apply it to a specific model, which belongs to a family of models in which the inequality becomes an equality. We thus show that the inequality can easily yield results, which otherwise have to rely either on approximations or general beliefs.Comment: 6 pages, 4 figure

The Structure of Langevin's Memory Kernel From Lagrangian Dynamics

We obtain the memory kernel of the generalized Langevin equation, describing a particle interacting with longitudinal phonons in a liquid. The kernel is obtained analytically at T=0 Kelvin and numerically at T>0 Kelvin. We find that it shows some non-trivial structural features like negative correlations for some range of time separations. The system is shown to have three characteristic time scales, that control the shape of the kernel, and the transition between quadratic and linear behavior of the mean squared distance (MSD). Although the derivation of the structure in the memory kernel is obtained within a specific dynamical model, the phenomenon is shown to be quite generic.Comment: 8 pages, 5 figures, latex, include europhys.sty and euromacr.te

Guidance, flight mechanics and trajectory optimization. Volume 4 - The calculus of variations and modern applications

Guidance, flight mechanics, and trajectory optimization - calculus of variations and modern application

Microprocessor utilization in search and rescue missions

The position of an emergency transmitter may be determined by measuring the Doppler shift of the distress signal as received by an orbiting satellite. This requires the computation of an initial estimate and refinement of this estimate through an iterative, nonlinear, least squares estimation. A version of the algorithm was implemented and tested by locating a transmitter on the premises and obtaining observations from a satellite. The computer used was an IBM 360/95. The position was determined within the desired 10 km radius accuracy. The feasibility of performing the same task in real time using microprocessor technology, was determined. The least squares algorithm was implemented on an Intel 8080 microprocessor. The results indicate that a microprocessor can easily match the IBM implementation in accuracy and be performed inside the time limitations set

\u3ci\u3eEldred\u3c/i\u3e and \u3ci\u3eLochner\u3c/i\u3e: Copyright Term Extension and Intellectual Property as Constitutional Property

Since the ratification of the constitution, intellectual property law in the United States has always been, in part, constitutional law. Among the enumerated powers that Article I of the Constitution vests in Congress is the power to create certain intellectual property rights. To a remarkable extent, scholars who have examined the Constitution\u27s Copyright Clause have reached a common position. With striking unanimity, these scholars have called for aggressive judicial review of the constitutionality of congressional legislation in this area. The champions of this position--we refer to them as the IP Restrictors--represent a remarkable array of constitutional and intellectual property scholars. In this terms\u27s Eldred v. Aschroft, leading IP Restrictor Lawrence Lessig, representing petitioner Eric Eldred, sought to convince the Supreme Court that the IP Restrictors\u27 view of the Copyright Clause was the correct one. By a vote of 7-2, the Supreme Court rejected Eldred\u27s claim and upheld the statute. But while the Court rejected the IP Restrictors\u27 vision, it did not offer a satisfactory competing conception of the Copyright Clause and how the courts should construe it. Critically, even though the standard of review was of central significance, the Court applied a deferential form of rational basis scrutiny without explaining why this was the appropriate standard. This paper develops the case for deferential review of congressional legislation in the area of intellectual property and, at a deeper level, offers a new paradigm for understanding the Copyright Clause. We propose that from the vantage point of constitutional law, intellectual property should be treated as a form of constitutional property. Deference to congressional judgments is warranted because congressional legislation affecting intellectual property is analytically similar to congressional legislation affecting other forms of property. Courts subject congressional legislation affecting traditional forms of property to deferential review because of concerns about institutional competence and respect for majoritarian decisionmaking. These two concerns in conjunction with proper regard for holistic constitutional interpretation should also lead courts to deferential review of congressional legislation affecting intellectual property.In developing our position, we draw on constitutional history and, in particular, the lessons of Lochner v. New York. In defense of their vision of the Constitution, the IP Restrictors and the dissenters in Eldred make claims about the original understanding that, to an astonishing extent, echo those made by proponents of Lochner-era jurisprudence. We argue, however, that these claims fail for two reasons. First, the IP Restrictors and the dissenters disregard the limited scope of judicial review at the time of the Founding. Additionally, the IP Restrictors and dissenters disregard the range of views among the Founders about monopolies

How Bioethics Principles Can Aid Design of Electronic Health Records to Accommodate Patient Granular Control

Ethics should guide the design of electronic health records (EHR), and recognized principles of bioethics can play an important role. This approach was adopted recently by a team of informaticists designing and testing a system where patients exert granular control over who views their personal health information. While this method of building ethics in from the start of the design process has significant benefits, questions remain about how useful the application of bioethics principles can be in this process, especially when principles conflict. For instance, while the ethical principle of respect for autonomy supports a robust system of granular control, the principles of beneficence and non-maleficence counsel restraint due to the danger of patients being harmed by restrictions on provider access to data. Conflict between principles has long been recognized by ethicists and has even motivated attacks on approaches that state and apply principles. In this paper we show how using ethical principles can help in the design of EHRs by first, explaining how ethical principles can and should be used generally, and then by, discuss how attention to details in specific cases can show that the tension between principles is not as bad as it initially appeared. We conclude by suggesting further ways in which the application of these (and other) principles can add value to the ongoing discussion of patient involvement in their health care. This is a new approach to linking principles to informatics design that we expect will stimulate further interest