An analysis of the vertical structure equation for arbitrary thermal profiles

The vertical structure equation is a singular Sturm-Liouville problem whose eigenfunctions describe the vertical dependence of the normal modes of the primitive equations linearized about a given thermal profile. The eigenvalues give the equivalent depths of the modes. The spectrum of the vertical structure equation and the appropriateness of various upper boundary conditions, both for arbitrary thermal profiles were studied. The results depend critically upon whether or not the thermal profile is such that the basic state atmosphere is bounded. In the case of a bounded atmosphere it is shown that the spectrum is always totally discrete, regardless of details of the thermal profile. For the barotropic equivalent depth, which corresponds to the lowest eigen value, upper and lower bounds which depend only on the surface temperature and the atmosphere height were obtained. All eigenfunctions are bounded, but always have unbounded first derivatives. It was proved that the commonly invoked upper boundary condition that vertical velocity must vanish as pressure tends to zero, as well as a number of alternative conditions, is well posed. It was concluded that the vertical structure equation always has a totally discrete spectrum under the assumptions implicit in the primitive equations

Civil Procedure—Reversal By Appellate Division And Granting Of New Trial Held Not to Be Interlocutory Under Section 590 of the Civil Practice Act

Rattray v. Raynor, 10 N.Y.2d 494, 180 N.E.2d 429, 225 N.Y.S.2d 39 (1962)

Characterizing the metabolic intensity and cardiovascular demands of walking football in Southeast Asian women

Given that the recent rise in obesity rates throughout Southeast Asia is disproportionately driven by women, part of the regional solution may be to encourage more habitual physical activity within this population. Taking advantage of the regional popularity of walking football, this study sought to characterize the cardiovascular demands and metabolic intensity of Southeast Asian women competing in walking football matches to determine the sports’ suitability for promoting physical health. It was hypothesized that both cardiovascular and metabolic intensity measures (≥65% HR% and ≥3.0 METs, respectively) would meet or exceed established thresholds for improving fitness and health. Methods: Women’s teams from Singapore (Mean±SD: 42±11 yrs age; 29.2±7.0 kg/m2 BMI; n=14) and Malaysia (40±10 yrs age; 32.9±5.7 kg/m2 BMI; n=8) competed in two successive matches within a single day during which measures of heart rate (HR) and GPS (from portable handheld device) were recorded for each player, while relative HR was computed as a percent of each player’s age-predicted maximal HR (HR%, %). The GPS data were later converted to walking distance and metabolic intensity (i.e., metabolic equivalents, or METs). One-sample t-tests at the 0.05 alpha level were used to compare variables to their respective thresholds. Results: Both Malaysian and Singaporean teams had mean relative HRs (91-95% of HRMAX [P=0.008] versus 77-80% of HRMAX [

Efficient Methods to Assimilate Satellite Retrievals Based on Information Content

One of the outstanding problems in data assimilation has been and continues to be how best to utilize satellite data while balancing the tradeoff between accuracy and computational cost. A number of weather prediction centers have recently achieved remarkable success in improving their forecast skill by changing the method by which satellite data are assimilated into the forecast model from the traditional approach of assimilating retrievals to the direct assimilation of radiances in a variational framework. The operational implementation of such a substantial change in methodology involves a great number of technical details, e.g., pertaining to quality control procedures, systematic error correction techniques, and tuning of the statistical parameters in the analysis algorithm. Although there are clear theoretical advantages to the direct radiance assimilation approach, it is not obvious at all to what extent the improvements that have been obtained so far can be attributed to the change in methodology, or to various technical aspects of the implementation. The issue is of interest because retrieval assimilation retains many practical and logistical advantages which may become even more significant in the near future when increasingly high-volume data sources become available. The central question we address here is: how much improvement can we expect from assimilating radiances rather than retrievals, all other things being equal? We compare the two approaches in a simplified one-dimensional theoretical framework, in which problems related to quality control and systematic error correction are conveniently absent. By assuming a perfect radiative transfer model and perfect knowledge of radiance and background error covariances, we are able to formulate a nonlinear local error analysis for each assimilation method. Direct radiance assimilation is optimal in this idealized context, while the traditional method of assimilating retrievals is suboptimal because it ignores the cross-covariances between background errors and retrieval errors. We show that interactive retrieval assimilation (where the same background used for assimilation is also used in the retrieval step) is equivalent to direct assimilation of radiances with suboptimal analysis weights. We illustrate and extend these theoretical arguments with several one-dimensional assimilation experiments, where we estimate vertical atmospheric profiles using simulated data from both the High-resolution InfraRed Sounder 2 (HIRS2) and the future Atmospheric InfraRed Sounder (AIRS)

Media Coverage of Law: Its Impact on Juries and the Public

Because most of the public has little direct experience with the justice system, public knowledge and views of law and the legal system are largely dependent on media representations. The media provide many lessons about law and justice. In the average American household, a TV set is on for over 7 hours each day, and individual members of the family watch television for about 3 hours. Television news and police and crime dramas account for a substantial amount of incidental learning about the nature of the legal system. Newspapers and films also contribute to the public\u27s knowledge and attitudes about law and the legal system. This contribution reviews and analyzes the impact of this coverage of law on the public. First, we consider how the media present law, crime, and justice. Our analysis of the content and style of media coverage of legal issues leads to the conclusion that the media mirror presents a distorted view of law. We then discuss the impact of these media distortions on people\u27s knowledge of and attitudes toward law and crime. We conclude with an examination of the effect of media coverage of courtroom trials on juries, the people\u27s representative in court