Error evaluation for difference approximations to ordinary differential equations

Method involves relationships between errors introduced by using finite sampling rates and parameters describing specific numerical method used. Procedurre is used in design and analysi of digital filters and simulators

Sampling errors in closed loop hybrid computer programs

Sampling errors in closed loop hybrid computer program

Errors in hybrid computers

Method is described for reduction of error components in numerical integration, sampling with zero hold order, and execution time delay

Hybrid computer techniques for solving partial differential equations

Techniques overcome equipment limitations that restrict other computer techniques in solving trivial cases. The use of curve fitting by quadratic interpolation greatly reduces required digital storage space

Difference equations to approximate ordinary differential equations

Difference equations for approximating ordinary differential equation

Generation and measurement of nonstationary random processes technical note no. 3

Generation and measurement of nonstationary stochastic processes related to Monte Carlo studies with analog compute

Supreme Court Brief Amicus Curiae of Administrative Law Scholars in Support of Neither Party

This brief on behalf of 29 administrative law scholars takes no position on whether Administrative Law Judges (ALJs) are employees or inferior officers. It urges the Court to issue an opinion that respects the decision that Congress made unanimously in 1946 to enact numerous statutory safeguards that assure that ALJs have decisional independence from the agencies where they work while assuring that agencies retain control over the policy content and legal basis for any decision made in an adjudication in which an ALJ presides. The brief describes the fifteen years of study and deliberation that led to the unanimous decision of Congress to enact the Administrative Procedure Act (APA) in 1946. It describes the particular attention that Congress devoted to the critical task of providing ALJs with the combination of statutory safeguards that minimize the risk that they will favor the agencies for whom they adjudicate cases while assuring that the agencies retain control of the policy content of any decision made in such an adjudication. It then describes the series of opinions the Supreme Court issued during the 1950s in which the Justices unanimously praised the provisions of the APA that assure that ALJs conduct adjudicatory hearings in an unbiased manner, explained the importance of those statutory provisions in protecting the values reflected in the Due Process Clause, and urged Congress to make those safeguards applicable to all agency adjudications. It concludes by urging the Court to issue an opinion that respects the decision that Congress made in 1946 to insulate ALJs from potential sources of pro-agency bias by including in the APA a combination of provisions that confer decisional independence on ALJs

Explicitly correlated trial wave functions in Quantum Monte Carlo calculations of excited states of Be and Be-

We present a new form of explicitly correlated wave function whose parameters are mainly linear, to circumvent the problem of the optimization of a large number of non-linear parameters usually encountered with basis sets of explicitly correlated wave functions. With this trial wave function we succeeded in minimizing the energy instead of the variance of the local energy, as is more common in quantum Monte Carlo methods. We applied this wave function to the calculation of the energies of Be 3P (1s22p2) and Be- 4So (1s22p3) by variational and diffusion Monte Carlo methods. The results compare favorably with those obtained by different types of explicitly correlated trial wave functions already described in the literature. The energies obtained are improved with respect to the best variational ones found in literature, and within one standard deviation from the estimated non-relativistic limitsComment: 19 pages, no figures, submitted to J. Phys.

Reading, Trauma and Literary Caregiving 1914-1918: Helen Mary Gaskell and the War Library

This article is about the relationship between reading, trauma and responsive literary caregiving in Britain during the First World War. Its analysis of two little-known documents describing the history of the War Library, begun by Helen Mary Gaskell in 1914, exposes a gap in the scholarship of war-time reading; generates a new narrative of "how," "when," and "why" books went to war; and foregrounds gender in its analysis of the historiography. The Library of Congress's T. W. Koch discovered Gaskell's ground-breaking work in 1917 and reported its successes to the American Library Association. The British Times also covered Gaskell's library, yet researchers working on reading during the war have routinely neglected her distinct model and method, skewing the research base on war-time reading and its association with trauma and caregiving. In the article's second half, a literary case study of a popular war novel demonstrates the extent of the "bitter cry for books." The success of Gaskell's intervention is examined alongside H. G. Wells's representation of textual healing. Reading is shown to offer sick, traumatized and recovering combatants emotional and psychological caregiving in ways that she could not always have predicted and that are not visible in the literary/historical record

Carbon clusters near the crossover to fullerene stability

The thermodynamic stability of structural isomers of $\mathrm{C}_{24}$, $\mathrm{C}_{26}$, $\mathrm{C}_{28}$ and $\mathrm{C}_{32}$, including fullerenes, is studied using density functional and quantum Monte Carlo methods. The energetic ordering of the different isomers depends sensitively on the treatment of electron correlation. Fixed-node diffusion quantum Monte Carlo calculations predict that a $\mathrm{C}_{24}$ isomer is the smallest stable graphitic fragment and that the smallest stable fullerenes are the $\mathrm{C}_{26}$ and $\mathrm{C}_{28}$ clusters with $\mathrm{C}_{2v}$ and $\mathrm{T}_{d}$ symmetry, respectively. These results support proposals that a $\mathrm{C}_{28}$ solid could be synthesized by cluster deposition.Comment: 4 pages, includes 4 figures. For additional graphics, online paper and related information see http://www.tcm.phy.cam.ac.uk/~prck